TSTP Solution File: SYN820-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN820-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 29 23:57:24 EDT 2022
% Result : Unsatisfiable 4.94s 3.55s
% Output : Proof 5.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : SYN820-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Sep 5 07:57:01 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 4.94/3.55 % SZS status Unsatisfiable
% 4.94/3.55 % SZS output start Proof
% 4.94/3.55 tff(ssPv16_6r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv16_6r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(skc29_type, type, (
% 4.94/3.55 skc29: $i)).
% 4.94/3.55 tff(skc31_type, type, (
% 4.94/3.55 skc31: $i)).
% 4.94/3.55 tff(elem_0_type, type, (
% 4.94/3.55 elem_0: $i)).
% 4.94/3.55 tff(ssPv16_7r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv16_7r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(skc27_type, type, (
% 4.94/3.55 skc27: $i)).
% 4.94/3.55 tff(ssPv16_8r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv16_8r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(skc25_type, type, (
% 4.94/3.55 skc25: $i)).
% 4.94/3.55 tff(ssPv16_9r1r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv16_9r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(skc24_type, type, (
% 4.94/3.55 skc24: $i)).
% 4.94/3.55 tff(ssPv16_10r1r1r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv16_10r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssPv16_11r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv16_11r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(skc23_type, type, (
% 4.94/3.55 skc23: $i)).
% 4.94/3.55 tff(ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(skc21_type, type, (
% 4.94/3.55 skc21: $i)).
% 4.94/3.55 tff(ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssNder1_11r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssNder1_11r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssNder1_10r1r1r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssNder1_10r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssNder1_9r1r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssNder1_9r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssNder1_8r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssNder1_8r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssNder1_7r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssNder1_7r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssNder1_6r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssNder1_6r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssNder1_5r1r1r1r1r1_type, type, (
% 4.94/3.55 ssNder1_5r1r1r1r1r1: ( $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssNder1_4r1r1r1r1_type, type, (
% 4.94/3.55 ssNder1_4r1r1r1r1: ( $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssNder1_3r1r1r1_type, type, (
% 4.94/3.55 ssNder1_3r1r1r1: ( $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssNder1_2r1r1_type, type, (
% 4.94/3.55 ssNder1_2r1r1: ( $i * $i ) > $o)).
% 4.94/3.55 tff(ssNder1_1r1_type, type, (
% 4.94/3.55 ssNder1_1r1: $i > $o)).
% 4.94/3.55 tff(ssNder1_0_type, type, (
% 4.94/3.55 ssNder1_0: $o)).
% 4.94/3.55 tff(ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(skc20_type, type, (
% 4.94/3.55 skc20: $i)).
% 4.94/3.55 tff(ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(skc18_type, type, (
% 4.94/3.55 skc18: $i)).
% 4.94/3.55 tff(ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssPv11_11r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv11_11r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssPv11_10r1r1r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv11_10r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssPv15_10r1r1r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv15_10r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssPv15_9r1r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv15_9r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssPv15_8r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv15_8r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssPv15_7r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv15_7r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssPv15_6r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv15_6r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssPv14_10r1r1r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv14_10r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssPv14_9r1r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv14_9r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssPv14_8r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv14_8r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssPv14_7r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv14_7r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssPv4_10r1r1r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv4_10r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssPv13_10r1r1r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv13_10r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssPv13_9r1r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv13_9r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssPv13_8r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv13_8r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(ssPv16_5r1r1r1r1r1_type, type, (
% 4.94/3.55 ssPv16_5r1r1r1r1r1: ( $i * $i * $i * $i * $i ) > $o)).
% 4.94/3.55 tff(1,assumption,(~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)), introduced(assumption)).
% 4.94/3.55 tff(2,assumption,(~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)), introduced(assumption)).
% 4.94/3.55 tff(3,plain,
% 4.94/3.55 (^[U: $i] : refl(ssNder1_1r1(U) <=> ssNder1_1r1(U))),
% 4.94/3.55 inference(bind,[status(th)],[])).
% 4.94/3.55 tff(4,plain,
% 4.94/3.55 (![U: $i] : ssNder1_1r1(U) <=> ![U: $i] : ssNder1_1r1(U)),
% 4.94/3.55 inference(quant_intro,[status(thm)],[3])).
% 4.94/3.55 tff(5,plain,
% 4.94/3.55 (![U: $i] : ssNder1_1r1(U) <=> ![U: $i] : ssNder1_1r1(U)),
% 4.94/3.55 inference(rewrite,[status(thm)],[])).
% 4.94/3.55 tff(6,plain,
% 4.94/3.55 (^[U: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | ssNder1_1r1(U)) <=> ($false | ssNder1_1r1(U)))), rewrite(($false | ssNder1_1r1(U)) <=> ssNder1_1r1(U)), (((~ssNder1_0) | ssNder1_1r1(U)) <=> ssNder1_1r1(U)))),
% 4.94/3.55 inference(bind,[status(th)],[])).
% 4.94/3.55 tff(7,plain,
% 4.94/3.55 (![U: $i] : ((~ssNder1_0) | ssNder1_1r1(U)) <=> ![U: $i] : ssNder1_1r1(U)),
% 4.94/3.55 inference(quant_intro,[status(thm)],[6])).
% 4.94/3.55 tff(8,axiom,(![U: $i] : ((~ssNder1_0) | ssNder1_1r1(U))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause2')).
% 4.94/3.55 tff(9,plain,
% 4.94/3.55 (![U: $i] : ssNder1_1r1(U)),
% 4.94/3.55 inference(modus_ponens,[status(thm)],[8, 7])).
% 4.94/3.55 tff(10,plain,
% 4.94/3.55 (![U: $i] : ssNder1_1r1(U)),
% 4.94/3.55 inference(modus_ponens,[status(thm)],[9, 5])).
% 4.94/3.55 tff(11,plain,(
% 4.94/3.55 ![U: $i] : ssNder1_1r1(U)),
% 4.94/3.55 inference(skolemize,[status(sab)],[10])).
% 4.94/3.55 tff(12,plain,
% 4.94/3.55 (![U: $i] : ssNder1_1r1(U)),
% 4.94/3.55 inference(modus_ponens,[status(thm)],[11, 4])).
% 4.94/3.55 tff(13,plain,
% 4.94/3.55 ((~![U: $i] : ssNder1_1r1(U)) | ssNder1_1r1(elem!0)),
% 4.94/3.55 inference(quant_inst,[status(thm)],[])).
% 4.94/3.55 tff(14,plain,
% 4.94/3.55 (ssNder1_1r1(elem!0)),
% 4.94/3.55 inference(unit_resolution,[status(thm)],[13, 12])).
% 4.94/3.55 tff(15,plain,
% 4.94/3.55 (^[V: $i, U: $i] : refl((ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U))) <=> (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U))))),
% 4.94/3.55 inference(bind,[status(th)],[])).
% 4.94/3.55 tff(16,plain,
% 4.94/3.55 (![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U))) <=> ![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))),
% 4.94/3.55 inference(quant_intro,[status(thm)],[15])).
% 4.94/3.55 tff(17,plain,
% 4.94/3.55 (![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U))) <=> ![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))),
% 4.94/3.55 inference(rewrite,[status(thm)],[])).
% 4.94/3.55 tff(18,plain,
% 4.94/3.55 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U))) <=> ($false | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U))))), rewrite(($false | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U))) <=> (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))), (((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U))) <=> (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))))),
% 4.94/3.55 inference(bind,[status(th)],[])).
% 4.94/3.55 tff(19,plain,
% 4.94/3.55 (![V: $i, U: $i] : ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U))) <=> ![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))),
% 4.94/3.55 inference(quant_intro,[status(thm)],[18])).
% 4.94/3.55 tff(20,plain,
% 4.94/3.55 (^[V: $i, U: $i] : trans(monotonicity(rewrite(((~ssNder1_1r1(U)) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)))), ((((~ssNder1_1r1(U)) | (~ssNder1_0)) | ssNder1_2r1r1(U, V)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U))) | ssNder1_2r1r1(U, V)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U))) | ssNder1_2r1r1(U, V)) <=> ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))), ((((~ssNder1_1r1(U)) | (~ssNder1_0)) | ssNder1_2r1r1(U, V)) <=> ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))))),
% 4.94/3.55 inference(bind,[status(th)],[])).
% 4.94/3.55 tff(21,plain,
% 4.94/3.55 (![V: $i, U: $i] : (((~ssNder1_1r1(U)) | (~ssNder1_0)) | ssNder1_2r1r1(U, V)) <=> ![V: $i, U: $i] : ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))),
% 4.94/3.55 inference(quant_intro,[status(thm)],[20])).
% 4.94/3.55 tff(22,axiom,(![V: $i, U: $i] : (((~ssNder1_1r1(U)) | (~ssNder1_0)) | ssNder1_2r1r1(U, V))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause3')).
% 4.94/3.55 tff(23,plain,
% 4.94/3.55 (![V: $i, U: $i] : ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))),
% 4.94/3.55 inference(modus_ponens,[status(thm)],[22, 21])).
% 4.94/3.55 tff(24,plain,
% 4.94/3.55 (![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))),
% 4.94/3.55 inference(modus_ponens,[status(thm)],[23, 19])).
% 4.94/3.55 tff(25,plain,
% 4.94/3.55 (![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))),
% 4.94/3.55 inference(modus_ponens,[status(thm)],[24, 17])).
% 4.94/3.55 tff(26,plain,(
% 4.94/3.55 ![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))),
% 4.94/3.55 inference(skolemize,[status(sab)],[25])).
% 4.94/3.55 tff(27,plain,
% 4.94/3.55 (![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))),
% 4.94/3.55 inference(modus_ponens,[status(thm)],[26, 16])).
% 4.94/3.55 tff(28,plain,
% 4.94/3.55 (((~![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_2r1r1(elem!0, elem!0))) <=> ((~![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))) | (~ssNder1_1r1(elem!0)) | ssNder1_2r1r1(elem!0, elem!0))),
% 4.94/3.56 inference(rewrite,[status(thm)],[])).
% 4.94/3.56 tff(29,plain,
% 4.94/3.56 ((ssNder1_2r1r1(elem!0, elem!0) | (~ssNder1_1r1(elem!0))) <=> ((~ssNder1_1r1(elem!0)) | ssNder1_2r1r1(elem!0, elem!0))),
% 4.94/3.56 inference(rewrite,[status(thm)],[])).
% 4.94/3.56 tff(30,plain,
% 4.94/3.56 (((~![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))) | (ssNder1_2r1r1(elem!0, elem!0) | (~ssNder1_1r1(elem!0)))) <=> ((~![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_2r1r1(elem!0, elem!0)))),
% 4.94/3.56 inference(monotonicity,[status(thm)],[29])).
% 4.94/3.56 tff(31,plain,
% 4.94/3.56 (((~![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))) | (ssNder1_2r1r1(elem!0, elem!0) | (~ssNder1_1r1(elem!0)))) <=> ((~![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))) | (~ssNder1_1r1(elem!0)) | ssNder1_2r1r1(elem!0, elem!0))),
% 4.94/3.56 inference(transitivity,[status(thm)],[30, 28])).
% 4.94/3.56 tff(32,plain,
% 4.94/3.56 ((~![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))) | (ssNder1_2r1r1(elem!0, elem!0) | (~ssNder1_1r1(elem!0)))),
% 4.94/3.56 inference(quant_inst,[status(thm)],[])).
% 4.94/3.56 tff(33,plain,
% 4.94/3.56 ((~![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))) | (~ssNder1_1r1(elem!0)) | ssNder1_2r1r1(elem!0, elem!0)),
% 4.94/3.56 inference(modus_ponens,[status(thm)],[32, 31])).
% 4.94/3.56 tff(34,plain,
% 4.94/3.56 (ssNder1_2r1r1(elem!0, elem!0)),
% 4.94/3.56 inference(unit_resolution,[status(thm)],[33, 27, 14])).
% 4.94/3.56 tff(35,plain,
% 4.94/3.56 (^[W: $i, V: $i, U: $i] : refl(((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V))))),
% 4.94/3.56 inference(bind,[status(th)],[])).
% 4.94/3.56 tff(36,plain,
% 4.94/3.56 (![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V))) <=> ![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))),
% 4.94/3.56 inference(quant_intro,[status(thm)],[35])).
% 4.94/3.56 tff(37,plain,
% 4.94/3.56 (![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V))) <=> ![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))),
% 4.94/3.56 inference(rewrite,[status(thm)],[])).
% 4.94/3.56 tff(38,plain,
% 4.94/3.56 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V))) <=> ($false | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V))))), rewrite(($false | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))))),
% 4.94/3.56 inference(bind,[status(th)],[])).
% 4.94/3.56 tff(39,plain,
% 4.94/3.56 (![W: $i, V: $i, U: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V))) <=> ![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))),
% 4.94/3.56 inference(quant_intro,[status(thm)],[38])).
% 4.94/3.56 tff(40,plain,
% 4.94/3.56 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_2r1r1(U, V)) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)))), ((((~ssNder1_2r1r1(U, V)) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)))), ((((~ssNder1_2r1r1(U, V)) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V))))), (((((~ssNder1_2r1r1(U, V)) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_3r1r1r1(U, V, W)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V))) | ssNder1_3r1r1r1(U, V, W)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V))) | ssNder1_3r1r1r1(U, V, W)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))), (((((~ssNder1_2r1r1(U, V)) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_3r1r1r1(U, V, W)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))))),
% 4.94/3.56 inference(bind,[status(th)],[])).
% 4.94/3.56 tff(41,plain,
% 4.94/3.56 (![W: $i, V: $i, U: $i] : ((((~ssNder1_2r1r1(U, V)) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_3r1r1r1(U, V, W)) <=> ![W: $i, V: $i, U: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))),
% 4.94/3.56 inference(quant_intro,[status(thm)],[40])).
% 4.94/3.56 tff(42,axiom,(![W: $i, V: $i, U: $i] : ((((~ssNder1_2r1r1(U, V)) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_3r1r1r1(U, V, W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause9')).
% 4.94/3.56 tff(43,plain,
% 4.94/3.56 (![W: $i, V: $i, U: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))),
% 4.94/3.56 inference(modus_ponens,[status(thm)],[42, 41])).
% 4.94/3.56 tff(44,plain,
% 4.94/3.56 (![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))),
% 4.94/3.56 inference(modus_ponens,[status(thm)],[43, 39])).
% 4.94/3.56 tff(45,plain,
% 4.94/3.56 (![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))),
% 4.94/3.56 inference(modus_ponens,[status(thm)],[44, 37])).
% 4.94/3.56 tff(46,plain,(
% 4.94/3.56 ![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))),
% 4.94/3.56 inference(skolemize,[status(sab)],[45])).
% 4.94/3.56 tff(47,plain,
% 4.94/3.56 (![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))),
% 4.94/3.56 inference(modus_ponens,[status(thm)],[46, 36])).
% 4.94/3.56 tff(48,plain,
% 4.94/3.56 (((~![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_3r1r1r1(elem!0, elem!0, elem!0) | (~ssNder1_2r1r1(elem!0, elem!0)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))) | (~ssNder1_1r1(elem!0)) | ssNder1_3r1r1r1(elem!0, elem!0, elem!0) | (~ssNder1_2r1r1(elem!0, elem!0)))),
% 4.94/3.56 inference(rewrite,[status(thm)],[])).
% 4.94/3.56 tff(49,plain,
% 4.94/3.56 ((~![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_3r1r1r1(elem!0, elem!0, elem!0) | (~ssNder1_2r1r1(elem!0, elem!0)))),
% 4.94/3.56 inference(quant_inst,[status(thm)],[])).
% 4.94/3.56 tff(50,plain,
% 4.94/3.56 ((~![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))) | (~ssNder1_1r1(elem!0)) | ssNder1_3r1r1r1(elem!0, elem!0, elem!0) | (~ssNder1_2r1r1(elem!0, elem!0))),
% 4.94/3.56 inference(modus_ponens,[status(thm)],[49, 48])).
% 4.94/3.56 tff(51,plain,
% 4.94/3.56 (ssNder1_3r1r1r1(elem!0, elem!0, elem!0)),
% 4.94/3.56 inference(unit_resolution,[status(thm)],[50, 47, 14, 34])).
% 4.94/3.56 tff(52,plain,
% 4.94/3.56 (^[W: $i, V: $i, U: $i, X: $i] : refl((ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) <=> (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))))),
% 4.94/3.56 inference(bind,[status(th)],[])).
% 4.94/3.56 tff(53,plain,
% 4.94/3.56 (![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))),
% 4.94/3.56 inference(quant_intro,[status(thm)],[52])).
% 4.94/3.56 tff(54,plain,
% 4.94/3.56 (![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))),
% 4.94/3.56 inference(rewrite,[status(thm)],[])).
% 4.94/3.56 tff(55,plain,
% 4.94/3.56 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) <=> ($false | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite(($false | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) <=> (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))), (((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) <=> (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))))),
% 4.94/3.56 inference(bind,[status(th)],[])).
% 4.94/3.56 tff(56,plain,
% 4.94/3.56 (![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))),
% 4.94/3.56 inference(quant_intro,[status(thm)],[55])).
% 4.94/3.56 tff(57,plain,
% 4.94/3.56 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))), ((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))), ((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))))), (((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))), (((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))))), ((((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_4r1r1r1r1(U, V, W, X)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) | ssNder1_4r1r1r1r1(U, V, W, X)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W))) | ssNder1_4r1r1r1r1(U, V, W, X)) <=> ((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))), ((((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_4r1r1r1r1(U, V, W, X)) <=> ((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))))),
% 4.94/3.56 inference(bind,[status(th)],[])).
% 4.94/3.56 tff(58,plain,
% 4.94/3.56 (![W: $i, V: $i, U: $i, X: $i] : (((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_4r1r1r1r1(U, V, W, X)) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))),
% 4.94/3.56 inference(quant_intro,[status(thm)],[57])).
% 4.94/3.56 tff(59,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_4r1r1r1r1(U, V, W, X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause16')).
% 4.94/3.56 tff(60,plain,
% 4.94/3.56 (![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))),
% 4.94/3.56 inference(modus_ponens,[status(thm)],[59, 58])).
% 4.94/3.56 tff(61,plain,
% 4.94/3.56 (![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))),
% 4.94/3.56 inference(modus_ponens,[status(thm)],[60, 56])).
% 4.94/3.56 tff(62,plain,
% 4.94/3.56 (![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))),
% 4.94/3.56 inference(modus_ponens,[status(thm)],[61, 54])).
% 4.94/3.56 tff(63,plain,(
% 4.94/3.56 ![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))),
% 4.94/3.56 inference(skolemize,[status(sab)],[62])).
% 4.94/3.56 tff(64,plain,
% 4.94/3.56 (![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))),
% 4.94/3.56 inference(modus_ponens,[status(thm)],[63, 53])).
% 4.94/3.56 tff(65,plain,
% 4.94/3.56 (((~![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0))),
% 4.94/3.56 inference(rewrite,[status(thm)],[])).
% 4.94/3.56 tff(66,plain,
% 4.94/3.56 ((ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0))) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0))),
% 4.94/3.56 inference(rewrite,[status(thm)],[])).
% 4.94/3.56 tff(67,plain,
% 4.94/3.56 (((~![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))) | (ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)))),
% 4.94/3.56 inference(monotonicity,[status(thm)],[66])).
% 4.94/3.56 tff(68,plain,
% 4.94/3.56 (((~![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))) | (ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0))),
% 4.94/3.56 inference(transitivity,[status(thm)],[67, 65])).
% 4.94/3.56 tff(69,plain,
% 4.94/3.56 ((~![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))) | (ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)))),
% 4.94/3.56 inference(quant_inst,[status(thm)],[])).
% 4.94/3.56 tff(70,plain,
% 4.94/3.56 ((~![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)),
% 4.94/3.56 inference(modus_ponens,[status(thm)],[69, 68])).
% 4.94/3.56 tff(71,plain,
% 4.94/3.56 (ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)),
% 4.94/3.56 inference(unit_resolution,[status(thm)],[70, 64, 14, 34, 51])).
% 4.94/3.56 tff(72,plain,
% 4.94/3.56 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl(((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))))),
% 4.94/3.56 inference(bind,[status(th)],[])).
% 4.94/3.56 tff(73,plain,
% 4.94/3.56 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))),
% 4.94/3.56 inference(quant_intro,[status(thm)],[72])).
% 4.94/3.56 tff(74,plain,
% 4.94/3.56 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))),
% 4.94/3.56 inference(rewrite,[status(thm)],[])).
% 4.94/3.56 tff(75,plain,
% 4.94/3.56 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ($false | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite(($false | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))))),
% 4.94/3.56 inference(bind,[status(th)],[])).
% 4.94/3.56 tff(76,plain,
% 4.94/3.56 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))),
% 4.94/3.56 inference(quant_intro,[status(thm)],[75])).
% 4.94/3.56 tff(77,plain,
% 4.94/3.56 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))), ((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))), ((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), (((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))), (((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), ((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))), ((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), (((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))), (((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))))),
% 4.94/3.56 inference(bind,[status(th)],[])).
% 4.94/3.56 tff(78,plain,
% 4.94/3.56 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))),
% 4.94/3.56 inference(quant_intro,[status(thm)],[77])).
% 4.94/3.56 tff(79,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause29')).
% 4.94/3.56 tff(80,plain,
% 4.94/3.56 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))),
% 4.94/3.56 inference(modus_ponens,[status(thm)],[79, 78])).
% 4.94/3.56 tff(81,plain,
% 4.94/3.56 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))),
% 4.94/3.56 inference(modus_ponens,[status(thm)],[80, 76])).
% 4.94/3.56 tff(82,plain,
% 4.94/3.56 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))),
% 4.94/3.56 inference(modus_ponens,[status(thm)],[81, 74])).
% 4.94/3.56 tff(83,plain,(
% 4.94/3.56 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))),
% 4.94/3.56 inference(skolemize,[status(sab)],[82])).
% 4.94/3.56 tff(84,plain,
% 4.94/3.56 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))),
% 4.94/3.56 inference(modus_ponens,[status(thm)],[83, 73])).
% 4.94/3.56 tff(85,plain,
% 4.94/3.56 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))),
% 4.94/3.56 inference(rewrite,[status(thm)],[])).
% 4.94/3.56 tff(86,plain,
% 4.94/3.56 (((~ssNder1_1r1(elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0))) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))),
% 4.94/3.56 inference(rewrite,[status(thm)],[])).
% 4.94/3.56 tff(87,plain,
% 4.94/3.56 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))),
% 4.94/3.56 inference(monotonicity,[status(thm)],[86])).
% 4.94/3.56 tff(88,plain,
% 4.94/3.56 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))),
% 4.94/3.56 inference(transitivity,[status(thm)],[87, 85])).
% 4.94/3.56 tff(89,plain,
% 4.94/3.56 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)))),
% 4.94/3.56 inference(quant_inst,[status(thm)],[])).
% 4.94/3.56 tff(90,plain,
% 4.94/3.56 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_5r1r1r1r1r1(U, V, W, X, Y) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)),
% 4.94/3.56 inference(modus_ponens,[status(thm)],[89, 88])).
% 4.94/3.56 tff(91,plain,
% 4.94/3.56 (ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)),
% 4.94/3.56 inference(unit_resolution,[status(thm)],[90, 84, 14, 34, 51, 71])).
% 4.94/3.56 tff(92,plain,
% 4.94/3.56 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl(((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))),
% 4.94/3.56 inference(bind,[status(th)],[])).
% 4.94/3.56 tff(93,plain,
% 4.94/3.56 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))),
% 4.94/3.56 inference(quant_intro,[status(thm)],[92])).
% 4.94/3.56 tff(94,plain,
% 4.94/3.56 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))),
% 4.94/3.56 inference(rewrite,[status(thm)],[])).
% 4.94/3.56 tff(95,plain,
% 4.94/3.56 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ($false | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite(($false | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))))),
% 4.94/3.56 inference(bind,[status(th)],[])).
% 4.94/3.56 tff(96,plain,
% 4.94/3.56 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))),
% 4.94/3.56 inference(quant_intro,[status(thm)],[95])).
% 4.94/3.56 tff(97,plain,
% 4.94/3.56 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), ((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), ((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), (((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), (((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), ((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), ((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), (((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), (((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), ((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))), ((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))))),
% 4.94/3.56 inference(bind,[status(th)],[])).
% 4.94/3.56 tff(98,plain,
% 4.94/3.56 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))),
% 4.94/3.56 inference(quant_intro,[status(thm)],[97])).
% 4.94/3.56 tff(99,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause46')).
% 4.94/3.56 tff(100,plain,
% 4.94/3.56 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))),
% 4.94/3.56 inference(modus_ponens,[status(thm)],[99, 98])).
% 4.94/3.56 tff(101,plain,
% 4.94/3.56 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))),
% 4.94/3.56 inference(modus_ponens,[status(thm)],[100, 96])).
% 4.94/3.56 tff(102,plain,
% 4.94/3.56 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))),
% 4.94/3.56 inference(modus_ponens,[status(thm)],[101, 94])).
% 4.94/3.56 tff(103,plain,(
% 4.94/3.56 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))),
% 4.94/3.56 inference(skolemize,[status(sab)],[102])).
% 4.94/3.56 tff(104,plain,
% 4.94/3.56 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))),
% 4.94/3.56 inference(modus_ponens,[status(thm)],[103, 93])).
% 4.94/3.56 tff(105,plain,
% 4.94/3.56 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29))),
% 4.94/3.57 inference(rewrite,[status(thm)],[])).
% 4.94/3.57 tff(106,plain,
% 4.94/3.57 (((~ssNder1_1r1(elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29))),
% 4.94/3.57 inference(rewrite,[status(thm)],[])).
% 4.94/3.57 tff(107,plain,
% 4.94/3.57 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))),
% 4.94/3.57 inference(monotonicity,[status(thm)],[106])).
% 4.94/3.57 tff(108,plain,
% 4.94/3.57 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29))),
% 4.94/3.57 inference(transitivity,[status(thm)],[107, 105])).
% 4.94/3.57 tff(109,plain,
% 4.94/3.57 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))),
% 4.94/3.57 inference(quant_inst,[status(thm)],[])).
% 4.94/3.57 tff(110,plain,
% 4.94/3.57 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)),
% 4.94/3.57 inference(modus_ponens,[status(thm)],[109, 108])).
% 4.94/3.57 tff(111,plain,
% 4.94/3.57 (ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)),
% 4.94/3.57 inference(unit_resolution,[status(thm)],[110, 104, 14, 34, 51, 71, 91])).
% 4.94/3.57 tff(112,plain,
% 4.94/3.57 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : refl((ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))),
% 4.94/3.57 inference(bind,[status(th)],[])).
% 4.94/3.57 tff(113,plain,
% 4.94/3.57 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 4.94/3.57 inference(quant_intro,[status(thm)],[112])).
% 4.94/3.57 tff(114,plain,
% 4.94/3.57 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 4.94/3.57 inference(rewrite,[status(thm)],[])).
% 4.94/3.57 tff(115,plain,
% 4.94/3.57 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ($false | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite(($false | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))))),
% 4.94/3.57 inference(bind,[status(th)],[])).
% 4.94/3.57 tff(116,plain,
% 4.94/3.57 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 4.94/3.57 inference(quant_intro,[status(thm)],[115])).
% 4.94/3.57 tff(117,plain,
% 4.94/3.57 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), (((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), ((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), (((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), ((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), (((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))))),
% 4.94/3.57 inference(bind,[status(th)],[])).
% 4.94/3.57 tff(118,plain,
% 4.94/3.57 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 4.94/3.57 inference(quant_intro,[status(thm)],[117])).
% 4.94/3.57 tff(119,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause65')).
% 4.94/3.57 tff(120,plain,
% 4.94/3.57 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 4.94/3.57 inference(modus_ponens,[status(thm)],[119, 118])).
% 4.94/3.57 tff(121,plain,
% 4.94/3.57 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 4.94/3.57 inference(modus_ponens,[status(thm)],[120, 116])).
% 4.94/3.57 tff(122,plain,
% 4.94/3.57 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 4.94/3.57 inference(modus_ponens,[status(thm)],[121, 114])).
% 4.94/3.57 tff(123,plain,(
% 4.94/3.57 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 4.94/3.57 inference(skolemize,[status(sab)],[122])).
% 4.94/3.57 tff(124,plain,
% 4.94/3.57 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 4.94/3.57 inference(modus_ponens,[status(thm)],[123, 113])).
% 4.94/3.57 tff(125,plain,
% 4.94/3.57 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27))),
% 4.94/3.57 inference(rewrite,[status(thm)],[])).
% 4.94/3.57 tff(126,plain,
% 4.94/3.57 ((ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29))) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27))),
% 4.94/3.57 inference(rewrite,[status(thm)],[])).
% 4.94/3.57 tff(127,plain,
% 4.94/3.57 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))),
% 4.94/3.57 inference(monotonicity,[status(thm)],[126])).
% 4.94/3.57 tff(128,plain,
% 4.94/3.57 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27))),
% 4.94/3.57 inference(transitivity,[status(thm)],[127, 125])).
% 4.94/3.57 tff(129,plain,
% 4.94/3.57 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))),
% 4.94/3.57 inference(quant_inst,[status(thm)],[])).
% 4.94/3.57 tff(130,plain,
% 4.94/3.57 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)),
% 4.94/3.57 inference(modus_ponens,[status(thm)],[129, 128])).
% 4.94/3.57 tff(131,plain,
% 4.94/3.57 (ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)),
% 4.94/3.57 inference(unit_resolution,[status(thm)],[130, 124, 14, 34, 51, 71, 91, 111])).
% 4.94/3.57 tff(132,plain,
% 4.94/3.57 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : refl((ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))),
% 4.94/3.57 inference(bind,[status(th)],[])).
% 4.94/3.57 tff(133,plain,
% 4.94/3.57 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 4.94/3.57 inference(quant_intro,[status(thm)],[132])).
% 4.94/3.57 tff(134,plain,
% 4.94/3.57 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 4.94/3.57 inference(rewrite,[status(thm)],[])).
% 4.94/3.57 tff(135,plain,
% 4.94/3.57 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ($false | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite(($false | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))))),
% 4.94/3.57 inference(bind,[status(th)],[])).
% 4.94/3.57 tff(136,plain,
% 4.94/3.57 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 4.94/3.57 inference(quant_intro,[status(thm)],[135])).
% 4.94/3.57 tff(137,plain,
% 4.94/3.57 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))))),
% 4.94/3.57 inference(bind,[status(th)],[])).
% 4.94/3.57 tff(138,plain,
% 4.94/3.57 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 4.94/3.57 inference(quant_intro,[status(thm)],[137])).
% 4.94/3.57 tff(139,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause88')).
% 4.94/3.57 tff(140,plain,
% 4.94/3.57 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 4.94/3.57 inference(modus_ponens,[status(thm)],[139, 138])).
% 4.94/3.57 tff(141,plain,
% 4.94/3.57 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 4.94/3.57 inference(modus_ponens,[status(thm)],[140, 136])).
% 4.94/3.57 tff(142,plain,
% 4.94/3.57 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 4.94/3.57 inference(modus_ponens,[status(thm)],[141, 134])).
% 4.94/3.57 tff(143,plain,(
% 4.94/3.57 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 4.94/3.58 inference(skolemize,[status(sab)],[142])).
% 4.94/3.58 tff(144,plain,
% 4.94/3.58 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 4.94/3.58 inference(modus_ponens,[status(thm)],[143, 133])).
% 4.94/3.58 tff(145,plain,
% 4.94/3.58 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))),
% 4.94/3.58 inference(rewrite,[status(thm)],[])).
% 4.94/3.58 tff(146,plain,
% 4.94/3.58 ((ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27))) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))),
% 4.94/3.58 inference(rewrite,[status(thm)],[])).
% 4.94/3.58 tff(147,plain,
% 4.94/3.58 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 4.94/3.58 inference(monotonicity,[status(thm)],[146])).
% 4.94/3.58 tff(148,plain,
% 4.94/3.58 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))),
% 4.94/3.58 inference(transitivity,[status(thm)],[147, 145])).
% 4.94/3.58 tff(149,plain,
% 4.94/3.58 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))),
% 4.94/3.58 inference(quant_inst,[status(thm)],[])).
% 4.94/3.58 tff(150,plain,
% 4.94/3.58 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : (ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)),
% 4.94/3.58 inference(modus_ponens,[status(thm)],[149, 148])).
% 4.94/3.58 tff(151,plain,
% 4.94/3.58 (ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)),
% 4.94/3.58 inference(unit_resolution,[status(thm)],[150, 144, 14, 34, 51, 71, 91, 111, 131])).
% 4.94/3.58 tff(152,plain,
% 4.94/3.58 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))),
% 4.94/3.58 inference(bind,[status(th)],[])).
% 4.94/3.58 tff(153,plain,
% 4.94/3.58 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 4.94/3.58 inference(quant_intro,[status(thm)],[152])).
% 4.94/3.58 tff(154,plain,
% 4.94/3.58 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 4.94/3.58 inference(rewrite,[status(thm)],[])).
% 4.94/3.58 tff(155,plain,
% 4.94/3.58 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ($false | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite(($false | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))))),
% 4.94/3.58 inference(bind,[status(th)],[])).
% 4.94/3.58 tff(156,plain,
% 4.94/3.58 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 4.94/3.58 inference(quant_intro,[status(thm)],[155])).
% 4.94/3.58 tff(157,plain,
% 4.94/3.58 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))))),
% 4.94/3.58 inference(bind,[status(th)],[])).
% 4.94/3.58 tff(158,plain,
% 4.94/3.58 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 4.94/3.58 inference(quant_intro,[status(thm)],[157])).
% 4.94/3.58 tff(159,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause111')).
% 4.94/3.58 tff(160,plain,
% 4.94/3.58 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 4.94/3.58 inference(modus_ponens,[status(thm)],[159, 158])).
% 4.94/3.58 tff(161,plain,
% 4.94/3.58 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 4.94/3.58 inference(modus_ponens,[status(thm)],[160, 156])).
% 4.94/3.58 tff(162,plain,
% 4.94/3.58 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 4.94/3.58 inference(modus_ponens,[status(thm)],[161, 154])).
% 4.94/3.58 tff(163,plain,(
% 4.94/3.58 ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 4.94/3.58 inference(skolemize,[status(sab)],[162])).
% 4.94/3.58 tff(164,plain,
% 4.94/3.58 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 4.94/3.58 inference(modus_ponens,[status(thm)],[163, 153])).
% 4.94/3.58 tff(165,plain,
% 4.94/3.58 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 4.94/3.58 inference(rewrite,[status(thm)],[])).
% 4.94/3.58 tff(166,plain,
% 4.94/3.58 (((~ssNder1_1r1(elem!0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 4.94/3.58 inference(rewrite,[status(thm)],[])).
% 4.94/3.58 tff(167,plain,
% 4.94/3.58 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))))),
% 4.99/3.58 inference(monotonicity,[status(thm)],[166])).
% 4.99/3.58 tff(168,plain,
% 4.99/3.58 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 4.99/3.58 inference(transitivity,[status(thm)],[167, 165])).
% 4.99/3.58 tff(169,plain,
% 4.99/3.58 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 4.99/3.59 inference(quant_inst,[status(thm)],[])).
% 4.99/3.59 tff(170,plain,
% 4.99/3.59 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))),
% 4.99/3.59 inference(modus_ponens,[status(thm)],[169, 168])).
% 4.99/3.59 tff(171,plain,
% 4.99/3.59 (ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)),
% 4.99/3.59 inference(unit_resolution,[status(thm)],[170, 164, 14, 34, 51, 71, 91, 111, 131, 151])).
% 4.99/3.59 tff(172,plain,
% 4.99/3.59 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))),
% 4.99/3.59 inference(bind,[status(th)],[])).
% 4.99/3.59 tff(173,plain,
% 4.99/3.59 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 4.99/3.59 inference(quant_intro,[status(thm)],[172])).
% 4.99/3.59 tff(174,plain,
% 4.99/3.59 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 4.99/3.59 inference(rewrite,[status(thm)],[])).
% 4.99/3.59 tff(175,plain,
% 4.99/3.59 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ($false | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite(($false | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))))),
% 4.99/3.59 inference(bind,[status(th)],[])).
% 4.99/3.59 tff(176,plain,
% 4.99/3.59 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 4.99/3.59 inference(quant_intro,[status(thm)],[175])).
% 4.99/3.59 tff(177,plain,
% 4.99/3.59 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))))),
% 4.99/3.59 inference(bind,[status(th)],[])).
% 4.99/3.59 tff(178,plain,
% 4.99/3.59 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 4.99/3.59 inference(quant_intro,[status(thm)],[177])).
% 4.99/3.59 tff(179,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause136')).
% 4.99/3.59 tff(180,plain,
% 4.99/3.59 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 4.99/3.59 inference(modus_ponens,[status(thm)],[179, 178])).
% 4.99/3.59 tff(181,plain,
% 4.99/3.59 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 4.99/3.59 inference(modus_ponens,[status(thm)],[180, 176])).
% 4.99/3.59 tff(182,plain,
% 4.99/3.59 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 4.99/3.59 inference(modus_ponens,[status(thm)],[181, 174])).
% 4.99/3.59 tff(183,plain,(
% 4.99/3.59 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 4.99/3.59 inference(skolemize,[status(sab)],[182])).
% 4.99/3.59 tff(184,plain,
% 4.99/3.59 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 4.99/3.59 inference(modus_ponens,[status(thm)],[183, 173])).
% 4.99/3.59 tff(185,plain,
% 4.99/3.59 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 4.99/3.59 inference(rewrite,[status(thm)],[])).
% 4.99/3.59 tff(186,plain,
% 4.99/3.59 (((~ssNder1_1r1(elem!0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 4.99/3.59 inference(rewrite,[status(thm)],[])).
% 4.99/3.59 tff(187,plain,
% 4.99/3.59 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))))),
% 4.99/3.59 inference(monotonicity,[status(thm)],[186])).
% 4.99/3.59 tff(188,plain,
% 4.99/3.59 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 4.99/3.59 inference(transitivity,[status(thm)],[187, 185])).
% 4.99/3.59 tff(189,plain,
% 4.99/3.59 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 4.99/3.59 inference(quant_inst,[status(thm)],[])).
% 4.99/3.59 tff(190,plain,
% 4.99/3.59 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))),
% 4.99/3.59 inference(modus_ponens,[status(thm)],[189, 188])).
% 4.99/3.59 tff(191,plain,
% 4.99/3.59 (ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)),
% 4.99/3.59 inference(unit_resolution,[status(thm)],[190, 184, 14, 34, 51, 71, 91, 111, 131, 151, 171])).
% 4.99/3.59 tff(192,plain,
% 4.99/3.59 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : refl((ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))),
% 4.99/3.59 inference(bind,[status(th)],[])).
% 4.99/3.59 tff(193,plain,
% 4.99/3.59 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 4.99/3.59 inference(quant_intro,[status(thm)],[192])).
% 4.99/3.59 tff(194,plain,
% 4.99/3.59 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 4.99/3.59 inference(rewrite,[status(thm)],[])).
% 4.99/3.59 tff(195,plain,
% 4.99/3.59 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ($false | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite(($false | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))))),
% 4.99/3.60 inference(bind,[status(th)],[])).
% 4.99/3.60 tff(196,plain,
% 4.99/3.60 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 4.99/3.60 inference(quant_intro,[status(thm)],[195])).
% 4.99/3.60 tff(197,plain,
% 4.99/3.60 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))))),
% 4.99/3.60 inference(bind,[status(th)],[])).
% 4.99/3.60 tff(198,plain,
% 4.99/3.60 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 4.99/3.60 inference(quant_intro,[status(thm)],[197])).
% 4.99/3.60 tff(199,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause161')).
% 4.99/3.60 tff(200,plain,
% 4.99/3.60 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 4.99/3.60 inference(modus_ponens,[status(thm)],[199, 198])).
% 4.99/3.60 tff(201,plain,
% 4.99/3.60 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 4.99/3.60 inference(modus_ponens,[status(thm)],[200, 196])).
% 4.99/3.60 tff(202,plain,
% 4.99/3.60 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 4.99/3.60 inference(modus_ponens,[status(thm)],[201, 194])).
% 4.99/3.60 tff(203,plain,(
% 4.99/3.60 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 4.99/3.60 inference(skolemize,[status(sab)],[202])).
% 4.99/3.60 tff(204,plain,
% 4.99/3.60 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 4.99/3.60 inference(modus_ponens,[status(thm)],[203, 193])).
% 4.99/3.60 tff(205,plain,
% 4.99/3.60 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 4.99/3.60 inference(rewrite,[status(thm)],[])).
% 4.99/3.60 tff(206,plain,
% 4.99/3.60 ((ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 4.99/3.60 inference(rewrite,[status(thm)],[])).
% 4.99/3.60 tff(207,plain,
% 4.99/3.60 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))))),
% 4.99/3.60 inference(monotonicity,[status(thm)],[206])).
% 4.99/3.60 tff(208,plain,
% 4.99/3.60 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 4.99/3.60 inference(transitivity,[status(thm)],[207, 205])).
% 4.99/3.60 tff(209,plain,
% 4.99/3.60 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 4.99/3.60 inference(quant_inst,[status(thm)],[])).
% 4.99/3.60 tff(210,plain,
% 4.99/3.60 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))),
% 4.99/3.60 inference(modus_ponens,[status(thm)],[209, 208])).
% 4.99/3.60 tff(211,plain,
% 4.99/3.60 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)),
% 4.99/3.60 inference(unit_resolution,[status(thm)],[210, 204, 14, 34, 51, 71, 91, 111, 131, 151, 171, 191])).
% 4.99/3.60 tff(212,plain,
% 4.99/3.60 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))),
% 4.99/3.60 inference(bind,[status(th)],[])).
% 4.99/3.60 tff(213,plain,
% 4.99/3.60 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 4.99/3.60 inference(quant_intro,[status(thm)],[212])).
% 4.99/3.60 tff(214,plain,
% 4.99/3.60 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 4.99/3.60 inference(rewrite,[status(thm)],[])).
% 4.99/3.60 tff(215,plain,
% 4.99/3.60 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ($false | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite(($false | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))))),
% 4.99/3.61 inference(bind,[status(th)],[])).
% 4.99/3.61 tff(216,plain,
% 4.99/3.61 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 4.99/3.61 inference(quant_intro,[status(thm)],[215])).
% 4.99/3.61 tff(217,plain,
% 4.99/3.61 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))))),
% 4.99/3.61 inference(bind,[status(th)],[])).
% 4.99/3.61 tff(218,plain,
% 4.99/3.61 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 4.99/3.61 inference(quant_intro,[status(thm)],[217])).
% 4.99/3.61 tff(219,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause185')).
% 4.99/3.61 tff(220,plain,
% 4.99/3.61 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 4.99/3.61 inference(modus_ponens,[status(thm)],[219, 218])).
% 4.99/3.61 tff(221,plain,
% 4.99/3.61 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 4.99/3.61 inference(modus_ponens,[status(thm)],[220, 216])).
% 4.99/3.61 tff(222,plain,
% 4.99/3.61 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 4.99/3.61 inference(modus_ponens,[status(thm)],[221, 214])).
% 4.99/3.61 tff(223,plain,(
% 4.99/3.61 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 4.99/3.61 inference(skolemize,[status(sab)],[222])).
% 4.99/3.61 tff(224,plain,
% 4.99/3.61 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 4.99/3.61 inference(modus_ponens,[status(thm)],[223, 213])).
% 4.99/3.61 tff(225,plain,
% 4.99/3.61 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24))),
% 4.99/3.61 inference(rewrite,[status(thm)],[])).
% 4.99/3.61 tff(226,plain,
% 4.99/3.61 (((~ssNder1_1r1(elem!0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24))) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24))),
% 4.99/3.61 inference(rewrite,[status(thm)],[])).
% 4.99/3.61 tff(227,plain,
% 4.99/3.61 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 4.99/3.61 inference(monotonicity,[status(thm)],[226])).
% 4.99/3.61 tff(228,plain,
% 4.99/3.61 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24))),
% 4.99/3.61 inference(transitivity,[status(thm)],[227, 225])).
% 4.99/3.61 tff(229,plain,
% 4.99/3.61 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 4.99/3.62 inference(quant_inst,[status(thm)],[])).
% 4.99/3.62 tff(230,plain,
% 4.99/3.62 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)),
% 4.99/3.62 inference(modus_ponens,[status(thm)],[229, 228])).
% 4.99/3.62 tff(231,plain,
% 4.99/3.62 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)),
% 4.99/3.62 inference(unit_resolution,[status(thm)],[230, 224, 14, 34, 51, 71, 91, 111, 131, 151, 171, 191, 211])).
% 4.99/3.62 tff(232,plain,
% 4.99/3.62 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : refl((ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))),
% 4.99/3.62 inference(bind,[status(th)],[])).
% 4.99/3.62 tff(233,plain,
% 4.99/3.62 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 4.99/3.62 inference(quant_intro,[status(thm)],[232])).
% 4.99/3.62 tff(234,plain,
% 4.99/3.62 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 4.99/3.62 inference(rewrite,[status(thm)],[])).
% 4.99/3.62 tff(235,plain,
% 4.99/3.62 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ($false | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), rewrite(($false | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))))),
% 4.99/3.62 inference(bind,[status(th)],[])).
% 4.99/3.62 tff(236,plain,
% 4.99/3.62 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 4.99/3.62 inference(quant_intro,[status(thm)],[235])).
% 4.99/3.62 tff(237,plain,
% 4.99/3.62 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))))),
% 4.99/3.62 inference(bind,[status(th)],[])).
% 4.99/3.62 tff(238,plain,
% 4.99/3.62 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 4.99/3.62 inference(quant_intro,[status(thm)],[237])).
% 4.99/3.62 tff(239,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause215')).
% 4.99/3.62 tff(240,plain,
% 4.99/3.62 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 4.99/3.62 inference(modus_ponens,[status(thm)],[239, 238])).
% 4.99/3.62 tff(241,plain,
% 4.99/3.62 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 4.99/3.62 inference(modus_ponens,[status(thm)],[240, 236])).
% 4.99/3.62 tff(242,plain,
% 4.99/3.62 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 4.99/3.62 inference(modus_ponens,[status(thm)],[241, 234])).
% 4.99/3.62 tff(243,plain,(
% 4.99/3.62 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 4.99/3.62 inference(skolemize,[status(sab)],[242])).
% 4.99/3.62 tff(244,plain,
% 4.99/3.62 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 4.99/3.62 inference(modus_ponens,[status(thm)],[243, 233])).
% 4.99/3.62 tff(245,plain,
% 4.99/3.62 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 4.99/3.62 inference(rewrite,[status(thm)],[])).
% 4.99/3.62 tff(246,plain,
% 4.99/3.62 ((ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24))) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 4.99/3.63 inference(rewrite,[status(thm)],[])).
% 4.99/3.63 tff(247,plain,
% 4.99/3.63 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 4.99/3.63 inference(monotonicity,[status(thm)],[246])).
% 4.99/3.63 tff(248,plain,
% 4.99/3.63 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 4.99/3.63 inference(transitivity,[status(thm)],[247, 245])).
% 4.99/3.63 tff(249,plain,
% 4.99/3.63 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 4.99/3.63 inference(quant_inst,[status(thm)],[])).
% 4.99/3.63 tff(250,plain,
% 4.99/3.63 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)),
% 4.99/3.63 inference(modus_ponens,[status(thm)],[249, 248])).
% 4.99/3.63 tff(251,plain,
% 4.99/3.63 ($false),
% 4.99/3.63 inference(unit_resolution,[status(thm)],[250, 244, 14, 34, 51, 71, 91, 111, 131, 151, 171, 191, 211, 231, 2])).
% 4.99/3.63 tff(252,plain,(ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)), inference(lemma,lemma(discharge,[]))).
% 4.99/3.63 tff(253,assumption,(ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)), introduced(assumption)).
% 4.99/3.63 tff(254,plain,
% 4.99/3.63 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))))),
% 4.99/3.63 inference(bind,[status(th)],[])).
% 4.99/3.63 tff(255,plain,
% 4.99/3.63 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))),
% 4.99/3.63 inference(quant_intro,[status(thm)],[254])).
% 4.99/3.63 tff(256,plain,
% 4.99/3.63 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))),
% 4.99/3.63 inference(rewrite,[status(thm)],[])).
% 4.99/3.63 tff(257,plain,
% 4.99/3.63 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))))),
% 4.99/3.63 inference(bind,[status(th)],[])).
% 4.99/3.63 tff(258,plain,
% 4.99/3.63 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))),
% 4.99/3.63 inference(quant_intro,[status(thm)],[257])).
% 4.99/3.63 tff(259,plain,
% 4.99/3.63 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))), ((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))), ((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))))), (((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))), (((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))))), ((((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))), ((((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))))), (((((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))), (((((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))))),
% 4.99/3.63 inference(bind,[status(th)],[])).
% 4.99/3.63 tff(260,plain,
% 4.99/3.63 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))),
% 4.99/3.63 inference(quant_intro,[status(thm)],[259])).
% 4.99/3.63 tff(261,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause35')).
% 4.99/3.63 tff(262,plain,
% 4.99/3.63 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))),
% 4.99/3.63 inference(modus_ponens,[status(thm)],[261, 260])).
% 4.99/3.63 tff(263,plain,
% 4.99/3.63 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))),
% 4.99/3.63 inference(modus_ponens,[status(thm)],[262, 258])).
% 4.99/3.63 tff(264,plain,
% 4.99/3.63 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))),
% 4.99/3.63 inference(modus_ponens,[status(thm)],[263, 256])).
% 4.99/3.63 tff(265,plain,(
% 4.99/3.63 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))),
% 4.99/3.63 inference(skolemize,[status(sab)],[264])).
% 4.99/3.63 tff(266,plain,
% 4.99/3.63 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))),
% 4.99/3.63 inference(modus_ponens,[status(thm)],[265, 255])).
% 4.99/3.63 tff(267,plain,
% 4.99/3.63 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))),
% 4.99/3.63 inference(rewrite,[status(thm)],[])).
% 4.99/3.63 tff(268,plain,
% 4.99/3.63 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))),
% 4.99/3.63 inference(quant_inst,[status(thm)],[])).
% 4.99/3.63 tff(269,plain,
% 4.99/3.63 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, skc29)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29))),
% 4.99/3.63 inference(modus_ponens,[status(thm)],[268, 267])).
% 4.99/3.63 tff(270,plain,
% 4.99/3.63 ($false),
% 4.99/3.63 inference(unit_resolution,[status(thm)],[269, 266, 14, 34, 51, 71, 253])).
% 4.99/3.63 tff(271,plain,(~ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)), inference(lemma,lemma(discharge,[]))).
% 4.99/3.63 tff(272,assumption,(ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)), introduced(assumption)).
% 4.99/3.63 tff(273,assumption,(~ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)), introduced(assumption)).
% 4.99/3.63 tff(274,plain,
% 4.99/3.63 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))),
% 4.99/3.63 inference(bind,[status(th)],[])).
% 4.99/3.63 tff(275,plain,
% 4.99/3.63 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 4.99/3.63 inference(quant_intro,[status(thm)],[274])).
% 4.99/3.63 tff(276,plain,
% 4.99/3.63 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 4.99/3.63 inference(rewrite,[status(thm)],[])).
% 4.99/3.63 tff(277,plain,
% 4.99/3.63 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))))),
% 4.99/3.63 inference(bind,[status(th)],[])).
% 4.99/3.63 tff(278,plain,
% 4.99/3.63 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 4.99/3.63 inference(quant_intro,[status(thm)],[277])).
% 4.99/3.63 tff(279,plain,
% 4.99/3.63 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))))),
% 4.99/3.63 inference(bind,[status(th)],[])).
% 4.99/3.63 tff(280,plain,
% 4.99/3.63 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 4.99/3.63 inference(quant_intro,[status(thm)],[279])).
% 4.99/3.63 tff(281,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause81')).
% 4.99/3.63 tff(282,plain,
% 4.99/3.63 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 4.99/3.63 inference(modus_ponens,[status(thm)],[281, 280])).
% 4.99/3.63 tff(283,plain,
% 4.99/3.63 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 4.99/3.63 inference(modus_ponens,[status(thm)],[282, 278])).
% 4.99/3.63 tff(284,plain,
% 4.99/3.63 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 4.99/3.63 inference(modus_ponens,[status(thm)],[283, 276])).
% 4.99/3.63 tff(285,plain,(
% 4.99/3.63 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 4.99/3.64 inference(skolemize,[status(sab)],[284])).
% 4.99/3.64 tff(286,plain,
% 4.99/3.64 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[285, 275])).
% 4.99/3.64 tff(287,plain,
% 4.99/3.64 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))),
% 4.99/3.64 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(288,plain,
% 4.99/3.64 (((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27))) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))),
% 4.99/3.64 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(289,plain,
% 4.99/3.64 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27))))),
% 4.99/3.64 inference(monotonicity,[status(thm)],[288])).
% 4.99/3.64 tff(290,plain,
% 4.99/3.64 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))),
% 4.99/3.64 inference(transitivity,[status(thm)],[289, 287])).
% 4.99/3.64 tff(291,plain,
% 4.99/3.64 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))),
% 4.99/3.64 inference(quant_inst,[status(thm)],[])).
% 4.99/3.64 tff(292,plain,
% 4.99/3.64 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv15_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27))),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[291, 290])).
% 4.99/3.64 tff(293,plain,
% 4.99/3.64 ($false),
% 4.99/3.64 inference(unit_resolution,[status(thm)],[292, 286, 14, 34, 51, 71, 91, 111, 273, 272])).
% 4.99/3.64 tff(294,plain,((~ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv15_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)), inference(lemma,lemma(discharge,[]))).
% 4.99/3.64 tff(295,plain,
% 4.99/3.64 (~ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)),
% 4.99/3.64 inference(unit_resolution,[status(thm)],[294, 271])).
% 4.99/3.64 tff(296,assumption,(ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)), introduced(assumption)).
% 4.99/3.64 tff(297,assumption,(~ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)), introduced(assumption)).
% 4.99/3.64 tff(298,plain,
% 4.99/3.64 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))),
% 4.99/3.64 inference(bind,[status(th)],[])).
% 4.99/3.64 tff(299,plain,
% 4.99/3.64 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 4.99/3.64 inference(quant_intro,[status(thm)],[298])).
% 4.99/3.64 tff(300,plain,
% 4.99/3.64 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 4.99/3.64 inference(rewrite,[status(thm)],[])).
% 4.99/3.64 tff(301,plain,
% 4.99/3.64 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))))),
% 4.99/3.64 inference(bind,[status(th)],[])).
% 4.99/3.64 tff(302,plain,
% 4.99/3.64 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 4.99/3.64 inference(quant_intro,[status(thm)],[301])).
% 4.99/3.64 tff(303,plain,
% 4.99/3.64 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))))),
% 4.99/3.64 inference(bind,[status(th)],[])).
% 4.99/3.64 tff(304,plain,
% 4.99/3.64 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 4.99/3.64 inference(quant_intro,[status(thm)],[303])).
% 4.99/3.64 tff(305,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause103')).
% 4.99/3.64 tff(306,plain,
% 4.99/3.64 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[305, 304])).
% 4.99/3.64 tff(307,plain,
% 4.99/3.64 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[306, 302])).
% 4.99/3.64 tff(308,plain,
% 4.99/3.64 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[307, 300])).
% 4.99/3.64 tff(309,plain,(
% 4.99/3.64 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 4.99/3.64 inference(skolemize,[status(sab)],[308])).
% 4.99/3.64 tff(310,plain,
% 4.99/3.64 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 4.99/3.64 inference(modus_ponens,[status(thm)],[309, 299])).
% 4.99/3.64 tff(311,plain,
% 4.99/3.64 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 5.05/3.64 inference(rewrite,[status(thm)],[])).
% 5.05/3.64 tff(312,plain,
% 5.05/3.64 (((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 5.05/3.64 inference(rewrite,[status(thm)],[])).
% 5.05/3.64 tff(313,plain,
% 5.05/3.64 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))))),
% 5.05/3.64 inference(monotonicity,[status(thm)],[312])).
% 5.05/3.64 tff(314,plain,
% 5.05/3.64 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 5.05/3.64 inference(transitivity,[status(thm)],[313, 311])).
% 5.05/3.64 tff(315,plain,
% 5.05/3.64 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 5.05/3.64 inference(quant_inst,[status(thm)],[])).
% 5.05/3.64 tff(316,plain,
% 5.05/3.64 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv15_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))),
% 5.05/3.64 inference(modus_ponens,[status(thm)],[315, 314])).
% 5.05/3.64 tff(317,plain,
% 5.05/3.64 ($false),
% 5.05/3.64 inference(unit_resolution,[status(thm)],[316, 310, 14, 34, 51, 71, 91, 111, 131, 297, 296])).
% 5.05/3.64 tff(318,plain,((~ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv15_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)), inference(lemma,lemma(discharge,[]))).
% 5.05/3.65 tff(319,plain,
% 5.05/3.65 (~ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)),
% 5.05/3.65 inference(unit_resolution,[status(thm)],[318, 295])).
% 5.05/3.65 tff(320,assumption,(ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)), introduced(assumption)).
% 5.05/3.65 tff(321,assumption,(~ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)), introduced(assumption)).
% 5.05/3.65 tff(322,plain,
% 5.05/3.65 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))),
% 5.05/3.65 inference(bind,[status(th)],[])).
% 5.05/3.65 tff(323,plain,
% 5.05/3.65 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.05/3.65 inference(quant_intro,[status(thm)],[322])).
% 5.05/3.65 tff(324,plain,
% 5.05/3.65 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.05/3.65 inference(rewrite,[status(thm)],[])).
% 5.05/3.65 tff(325,plain,
% 5.05/3.65 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))))),
% 5.05/3.65 inference(bind,[status(th)],[])).
% 5.05/3.65 tff(326,plain,
% 5.05/3.65 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.05/3.65 inference(quant_intro,[status(thm)],[325])).
% 5.05/3.65 tff(327,plain,
% 5.05/3.65 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))))),
% 5.05/3.65 inference(bind,[status(th)],[])).
% 5.05/3.65 tff(328,plain,
% 5.05/3.65 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.05/3.65 inference(quant_intro,[status(thm)],[327])).
% 5.05/3.65 tff(329,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause129')).
% 5.05/3.65 tff(330,plain,
% 5.05/3.65 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.05/3.65 inference(modus_ponens,[status(thm)],[329, 328])).
% 5.05/3.65 tff(331,plain,
% 5.05/3.65 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.05/3.65 inference(modus_ponens,[status(thm)],[330, 326])).
% 5.05/3.65 tff(332,plain,
% 5.05/3.65 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.05/3.65 inference(modus_ponens,[status(thm)],[331, 324])).
% 5.05/3.65 tff(333,plain,(
% 5.05/3.65 ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.05/3.65 inference(skolemize,[status(sab)],[332])).
% 5.05/3.65 tff(334,plain,
% 5.05/3.65 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.05/3.65 inference(modus_ponens,[status(thm)],[333, 323])).
% 5.05/3.65 tff(335,plain,
% 5.05/3.65 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))),
% 5.05/3.65 inference(rewrite,[status(thm)],[])).
% 5.05/3.65 tff(336,plain,
% 5.05/3.65 (((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))),
% 5.05/3.65 inference(rewrite,[status(thm)],[])).
% 5.05/3.65 tff(337,plain,
% 5.05/3.65 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 5.05/3.65 inference(monotonicity,[status(thm)],[336])).
% 5.05/3.65 tff(338,plain,
% 5.05/3.65 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))),
% 5.05/3.65 inference(transitivity,[status(thm)],[337, 335])).
% 5.05/3.65 tff(339,plain,
% 5.05/3.65 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 5.05/3.65 inference(quant_inst,[status(thm)],[])).
% 5.05/3.65 tff(340,plain,
% 5.05/3.65 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv15_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)),
% 5.05/3.65 inference(modus_ponens,[status(thm)],[339, 338])).
% 5.05/3.65 tff(341,plain,
% 5.05/3.65 ($false),
% 5.05/3.65 inference(unit_resolution,[status(thm)],[340, 334, 14, 34, 51, 71, 91, 111, 131, 151, 321, 320])).
% 5.05/3.65 tff(342,plain,((~ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv15_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)), inference(lemma,lemma(discharge,[]))).
% 5.05/3.65 tff(343,plain,
% 5.05/3.65 (~ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)),
% 5.05/3.65 inference(unit_resolution,[status(thm)],[342, 319])).
% 5.05/3.65 tff(344,assumption,(~ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)), introduced(assumption)).
% 5.05/3.65 tff(345,assumption,(ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)), introduced(assumption)).
% 5.05/3.65 tff(346,plain,
% 5.05/3.65 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))),
% 5.05/3.65 inference(bind,[status(th)],[])).
% 5.05/3.65 tff(347,plain,
% 5.05/3.65 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.05/3.65 inference(quant_intro,[status(thm)],[346])).
% 5.05/3.65 tff(348,plain,
% 5.05/3.65 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.05/3.65 inference(rewrite,[status(thm)],[])).
% 5.05/3.65 tff(349,plain,
% 5.05/3.65 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))))),
% 5.06/3.66 inference(bind,[status(th)],[])).
% 5.06/3.66 tff(350,plain,
% 5.06/3.66 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.06/3.66 inference(quant_intro,[status(thm)],[349])).
% 5.06/3.66 tff(351,plain,
% 5.06/3.66 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))))),
% 5.06/3.66 inference(bind,[status(th)],[])).
% 5.06/3.66 tff(352,plain,
% 5.06/3.66 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.06/3.66 inference(quant_intro,[status(thm)],[351])).
% 5.06/3.66 tff(353,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause159')).
% 5.06/3.66 tff(354,plain,
% 5.06/3.66 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.06/3.66 inference(modus_ponens,[status(thm)],[353, 352])).
% 5.06/3.66 tff(355,plain,
% 5.06/3.66 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.06/3.66 inference(modus_ponens,[status(thm)],[354, 350])).
% 5.06/3.66 tff(356,plain,
% 5.06/3.66 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.06/3.66 inference(modus_ponens,[status(thm)],[355, 348])).
% 5.06/3.66 tff(357,plain,(
% 5.06/3.66 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.06/3.66 inference(skolemize,[status(sab)],[356])).
% 5.06/3.66 tff(358,plain,
% 5.06/3.66 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.06/3.66 inference(modus_ponens,[status(thm)],[357, 347])).
% 5.06/3.66 tff(359,plain,
% 5.06/3.66 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))),
% 5.06/3.66 inference(rewrite,[status(thm)],[])).
% 5.06/3.66 tff(360,plain,
% 5.06/3.66 (((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))),
% 5.06/3.66 inference(rewrite,[status(thm)],[])).
% 5.06/3.66 tff(361,plain,
% 5.06/3.66 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 5.06/3.66 inference(monotonicity,[status(thm)],[360])).
% 5.06/3.66 tff(362,plain,
% 5.06/3.66 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))),
% 5.06/3.66 inference(transitivity,[status(thm)],[361, 359])).
% 5.06/3.66 tff(363,plain,
% 5.06/3.66 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 5.06/3.66 inference(quant_inst,[status(thm)],[])).
% 5.06/3.66 tff(364,plain,
% 5.06/3.66 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv15_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)),
% 5.06/3.66 inference(modus_ponens,[status(thm)],[363, 362])).
% 5.06/3.66 tff(365,plain,
% 5.06/3.66 ($false),
% 5.06/3.66 inference(unit_resolution,[status(thm)],[364, 358, 14, 34, 51, 71, 91, 111, 131, 151, 171, 345, 344])).
% 5.06/3.66 tff(366,plain,((~ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv15_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)), inference(lemma,lemma(discharge,[]))).
% 5.06/3.66 tff(367,plain,
% 5.06/3.66 (~ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)),
% 5.06/3.66 inference(unit_resolution,[status(thm)],[366, 343])).
% 5.06/3.66 tff(368,assumption,(ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)), introduced(assumption)).
% 5.06/3.66 tff(369,plain,
% 5.06/3.66 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))))),
% 5.06/3.66 inference(bind,[status(th)],[])).
% 5.06/3.66 tff(370,plain,
% 5.06/3.66 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))),
% 5.06/3.66 inference(quant_intro,[status(thm)],[369])).
% 5.06/3.66 tff(371,plain,
% 5.06/3.66 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))),
% 5.06/3.66 inference(rewrite,[status(thm)],[])).
% 5.06/3.66 tff(372,plain,
% 5.06/3.66 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))))),
% 5.06/3.66 inference(bind,[status(th)],[])).
% 5.06/3.66 tff(373,plain,
% 5.06/3.66 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))),
% 5.06/3.66 inference(quant_intro,[status(thm)],[372])).
% 5.06/3.66 tff(374,plain,
% 5.06/3.66 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))), ((((~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))), ((((~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))))), (((((~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))), (((((~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))))), ((((((~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))), ((((((~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))))), (((((((~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))), (((((((~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))))), ((((((((~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))), ((((((((~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))))),
% 5.06/3.67 inference(bind,[status(th)],[])).
% 5.06/3.67 tff(375,plain,
% 5.06/3.67 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))),
% 5.06/3.67 inference(quant_intro,[status(thm)],[374])).
% 5.06/3.67 tff(376,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause51')).
% 5.06/3.67 tff(377,plain,
% 5.06/3.67 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))),
% 5.06/3.67 inference(modus_ponens,[status(thm)],[376, 375])).
% 5.06/3.67 tff(378,plain,
% 5.06/3.67 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))),
% 5.06/3.67 inference(modus_ponens,[status(thm)],[377, 373])).
% 5.06/3.67 tff(379,plain,
% 5.06/3.67 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))),
% 5.06/3.67 inference(modus_ponens,[status(thm)],[378, 371])).
% 5.06/3.67 tff(380,plain,(
% 5.06/3.67 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))),
% 5.06/3.67 inference(skolemize,[status(sab)],[379])).
% 5.06/3.67 tff(381,plain,
% 5.06/3.67 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))),
% 5.06/3.67 inference(modus_ponens,[status(thm)],[380, 370])).
% 5.06/3.67 tff(382,plain,
% 5.06/3.67 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))),
% 5.06/3.67 inference(rewrite,[status(thm)],[])).
% 5.06/3.67 tff(383,plain,
% 5.06/3.67 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))),
% 5.06/3.67 inference(quant_inst,[status(thm)],[])).
% 5.06/3.67 tff(384,plain,
% 5.06/3.67 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27))),
% 5.06/3.67 inference(modus_ponens,[status(thm)],[383, 382])).
% 5.06/3.67 tff(385,plain,
% 5.06/3.67 ($false),
% 5.06/3.67 inference(unit_resolution,[status(thm)],[384, 381, 14, 34, 51, 71, 91, 368])).
% 5.06/3.67 tff(386,plain,(~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)), inference(lemma,lemma(discharge,[]))).
% 5.06/3.67 tff(387,assumption,(ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)), introduced(assumption)).
% 5.06/3.67 tff(388,assumption,(~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)), introduced(assumption)).
% 5.06/3.67 tff(389,plain,
% 5.06/3.67 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))),
% 5.06/3.67 inference(bind,[status(th)],[])).
% 5.06/3.67 tff(390,plain,
% 5.06/3.67 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 5.06/3.67 inference(quant_intro,[status(thm)],[389])).
% 5.06/3.67 tff(391,plain,
% 5.06/3.67 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 5.06/3.67 inference(rewrite,[status(thm)],[])).
% 5.06/3.67 tff(392,plain,
% 5.06/3.67 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))))),
% 5.06/3.67 inference(bind,[status(th)],[])).
% 5.06/3.67 tff(393,plain,
% 5.06/3.67 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 5.06/3.67 inference(quant_intro,[status(thm)],[392])).
% 5.06/3.67 tff(394,plain,
% 5.06/3.67 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))))),
% 5.06/3.67 inference(bind,[status(th)],[])).
% 5.06/3.67 tff(395,plain,
% 5.06/3.67 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 5.06/3.67 inference(quant_intro,[status(thm)],[394])).
% 5.06/3.67 tff(396,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause104')).
% 5.06/3.67 tff(397,plain,
% 5.06/3.67 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 5.06/3.67 inference(modus_ponens,[status(thm)],[396, 395])).
% 5.06/3.67 tff(398,plain,
% 5.06/3.67 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 5.06/3.67 inference(modus_ponens,[status(thm)],[397, 393])).
% 5.06/3.67 tff(399,plain,
% 5.06/3.67 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 5.06/3.67 inference(modus_ponens,[status(thm)],[398, 391])).
% 5.06/3.67 tff(400,plain,(
% 5.06/3.67 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 5.06/3.67 inference(skolemize,[status(sab)],[399])).
% 5.06/3.67 tff(401,plain,
% 5.06/3.67 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 5.06/3.67 inference(modus_ponens,[status(thm)],[400, 390])).
% 5.06/3.67 tff(402,plain,
% 5.06/3.67 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 5.06/3.67 inference(rewrite,[status(thm)],[])).
% 5.06/3.67 tff(403,plain,
% 5.06/3.67 (((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 5.06/3.67 inference(rewrite,[status(thm)],[])).
% 5.06/3.67 tff(404,plain,
% 5.06/3.67 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))))),
% 5.06/3.67 inference(monotonicity,[status(thm)],[403])).
% 5.06/3.67 tff(405,plain,
% 5.06/3.67 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 5.06/3.67 inference(transitivity,[status(thm)],[404, 402])).
% 5.06/3.67 tff(406,plain,
% 5.06/3.67 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 5.06/3.67 inference(quant_inst,[status(thm)],[])).
% 5.06/3.67 tff(407,plain,
% 5.06/3.67 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))),
% 5.06/3.67 inference(modus_ponens,[status(thm)],[406, 405])).
% 5.06/3.67 tff(408,plain,
% 5.06/3.67 ($false),
% 5.06/3.67 inference(unit_resolution,[status(thm)],[407, 401, 14, 34, 51, 71, 91, 111, 131, 388, 387])).
% 5.06/3.67 tff(409,plain,((~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)), inference(lemma,lemma(discharge,[]))).
% 5.06/3.67 tff(410,plain,
% 5.06/3.67 (~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)),
% 5.06/3.67 inference(unit_resolution,[status(thm)],[409, 386])).
% 5.06/3.67 tff(411,assumption,(ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)), introduced(assumption)).
% 5.06/3.67 tff(412,assumption,(~ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)), introduced(assumption)).
% 5.06/3.67 tff(413,plain,
% 5.06/3.67 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))),
% 5.06/3.67 inference(bind,[status(th)],[])).
% 5.06/3.67 tff(414,plain,
% 5.06/3.67 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.06/3.67 inference(quant_intro,[status(thm)],[413])).
% 5.06/3.67 tff(415,plain,
% 5.06/3.67 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.06/3.68 inference(rewrite,[status(thm)],[])).
% 5.06/3.68 tff(416,plain,
% 5.06/3.68 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))))),
% 5.06/3.68 inference(bind,[status(th)],[])).
% 5.06/3.68 tff(417,plain,
% 5.06/3.68 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.06/3.68 inference(quant_intro,[status(thm)],[416])).
% 5.06/3.68 tff(418,plain,
% 5.06/3.68 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))))),
% 5.06/3.68 inference(bind,[status(th)],[])).
% 5.06/3.68 tff(419,plain,
% 5.06/3.68 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.06/3.68 inference(quant_intro,[status(thm)],[418])).
% 5.06/3.68 tff(420,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause130')).
% 5.06/3.68 tff(421,plain,
% 5.06/3.68 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.06/3.68 inference(modus_ponens,[status(thm)],[420, 419])).
% 5.06/3.68 tff(422,plain,
% 5.06/3.68 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.06/3.68 inference(modus_ponens,[status(thm)],[421, 417])).
% 5.06/3.68 tff(423,plain,
% 5.06/3.68 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.06/3.68 inference(modus_ponens,[status(thm)],[422, 415])).
% 5.06/3.68 tff(424,plain,(
% 5.06/3.68 ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.06/3.68 inference(skolemize,[status(sab)],[423])).
% 5.06/3.68 tff(425,plain,
% 5.06/3.68 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.06/3.68 inference(modus_ponens,[status(thm)],[424, 414])).
% 5.06/3.68 tff(426,plain,
% 5.06/3.68 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))),
% 5.06/3.68 inference(rewrite,[status(thm)],[])).
% 5.06/3.68 tff(427,plain,
% 5.06/3.68 (((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))),
% 5.06/3.68 inference(rewrite,[status(thm)],[])).
% 5.06/3.68 tff(428,plain,
% 5.06/3.68 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 5.06/3.68 inference(monotonicity,[status(thm)],[427])).
% 5.06/3.68 tff(429,plain,
% 5.06/3.68 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))),
% 5.06/3.68 inference(transitivity,[status(thm)],[428, 426])).
% 5.06/3.68 tff(430,plain,
% 5.06/3.68 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 5.06/3.68 inference(quant_inst,[status(thm)],[])).
% 5.06/3.68 tff(431,plain,
% 5.06/3.68 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv14_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)),
% 5.06/3.68 inference(modus_ponens,[status(thm)],[430, 429])).
% 5.06/3.68 tff(432,plain,
% 5.06/3.68 ($false),
% 5.06/3.68 inference(unit_resolution,[status(thm)],[431, 425, 14, 34, 51, 71, 91, 111, 131, 151, 412, 411])).
% 5.06/3.68 tff(433,plain,((~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv14_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)), inference(lemma,lemma(discharge,[]))).
% 5.06/3.68 tff(434,plain,
% 5.06/3.68 (~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)),
% 5.06/3.68 inference(unit_resolution,[status(thm)],[433, 410])).
% 5.06/3.68 tff(435,assumption,(~ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)), introduced(assumption)).
% 5.06/3.68 tff(436,assumption,(ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)), introduced(assumption)).
% 5.06/3.68 tff(437,plain,
% 5.06/3.68 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))),
% 5.06/3.68 inference(bind,[status(th)],[])).
% 5.06/3.68 tff(438,plain,
% 5.06/3.68 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.06/3.68 inference(quant_intro,[status(thm)],[437])).
% 5.06/3.68 tff(439,plain,
% 5.06/3.68 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.06/3.68 inference(rewrite,[status(thm)],[])).
% 5.06/3.68 tff(440,plain,
% 5.06/3.68 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))))),
% 5.06/3.68 inference(bind,[status(th)],[])).
% 5.06/3.68 tff(441,plain,
% 5.06/3.68 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.06/3.68 inference(quant_intro,[status(thm)],[440])).
% 5.06/3.68 tff(442,plain,
% 5.06/3.68 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))))),
% 5.06/3.69 inference(bind,[status(th)],[])).
% 5.06/3.69 tff(443,plain,
% 5.06/3.69 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.06/3.69 inference(quant_intro,[status(thm)],[442])).
% 5.06/3.69 tff(444,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause160')).
% 5.06/3.69 tff(445,plain,
% 5.06/3.69 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.06/3.69 inference(modus_ponens,[status(thm)],[444, 443])).
% 5.06/3.69 tff(446,plain,
% 5.06/3.69 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.06/3.69 inference(modus_ponens,[status(thm)],[445, 441])).
% 5.06/3.69 tff(447,plain,
% 5.06/3.69 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.06/3.69 inference(modus_ponens,[status(thm)],[446, 439])).
% 5.06/3.69 tff(448,plain,(
% 5.06/3.69 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.06/3.69 inference(skolemize,[status(sab)],[447])).
% 5.06/3.69 tff(449,plain,
% 5.06/3.69 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.06/3.69 inference(modus_ponens,[status(thm)],[448, 438])).
% 5.06/3.69 tff(450,plain,
% 5.06/3.69 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 5.06/3.69 inference(rewrite,[status(thm)],[])).
% 5.06/3.69 tff(451,plain,
% 5.06/3.69 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 5.06/3.69 inference(quant_inst,[status(thm)],[])).
% 5.06/3.69 tff(452,plain,
% 5.06/3.69 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv14_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))),
% 5.06/3.69 inference(modus_ponens,[status(thm)],[451, 450])).
% 5.06/3.69 tff(453,plain,
% 5.06/3.69 ($false),
% 5.06/3.69 inference(unit_resolution,[status(thm)],[452, 449, 14, 34, 51, 71, 91, 111, 131, 151, 171, 436, 435])).
% 5.06/3.69 tff(454,plain,((~ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv14_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)), inference(lemma,lemma(discharge,[]))).
% 5.06/3.69 tff(455,plain,
% 5.06/3.69 (~ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)),
% 5.06/3.69 inference(unit_resolution,[status(thm)],[454, 434])).
% 5.06/3.69 tff(456,assumption,(~ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)), introduced(assumption)).
% 5.06/3.69 tff(457,assumption,(~ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)), introduced(assumption)).
% 5.06/3.69 tff(458,assumption,(~ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)), introduced(assumption)).
% 5.06/3.69 tff(459,plain,
% 5.06/3.69 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.06/3.69 inference(bind,[status(th)],[])).
% 5.06/3.69 tff(460,plain,
% 5.06/3.69 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))),
% 5.06/3.69 inference(quant_intro,[status(thm)],[459])).
% 5.06/3.69 tff(461,plain,
% 5.06/3.69 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))),
% 5.06/3.69 inference(rewrite,[status(thm)],[])).
% 5.06/3.69 tff(462,plain,
% 5.06/3.69 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))),
% 5.06/3.69 inference(bind,[status(th)],[])).
% 5.06/3.69 tff(463,plain,
% 5.06/3.69 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))),
% 5.06/3.69 inference(quant_intro,[status(thm)],[462])).
% 5.06/3.69 tff(464,plain,
% 5.06/3.69 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))), ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))), (((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))), ((((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))), (((((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))),
% 5.06/3.69 inference(bind,[status(th)],[])).
% 5.06/3.69 tff(465,plain,
% 5.06/3.69 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))),
% 5.06/3.69 inference(quant_intro,[status(thm)],[464])).
% 5.06/3.69 tff(466,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause189')).
% 5.06/3.69 tff(467,plain,
% 5.06/3.69 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))),
% 5.06/3.69 inference(modus_ponens,[status(thm)],[466, 465])).
% 5.06/3.69 tff(468,plain,
% 5.06/3.69 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))),
% 5.06/3.69 inference(modus_ponens,[status(thm)],[467, 463])).
% 5.06/3.69 tff(469,plain,
% 5.06/3.69 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))),
% 5.06/3.69 inference(modus_ponens,[status(thm)],[468, 461])).
% 5.06/3.70 tff(470,plain,(
% 5.06/3.70 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))),
% 5.06/3.70 inference(skolemize,[status(sab)],[469])).
% 5.06/3.70 tff(471,plain,
% 5.06/3.70 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))),
% 5.06/3.70 inference(modus_ponens,[status(thm)],[470, 460])).
% 5.06/3.70 tff(472,plain,
% 5.06/3.70 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))),
% 5.06/3.70 inference(rewrite,[status(thm)],[])).
% 5.06/3.70 tff(473,plain,
% 5.06/3.70 (((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))),
% 5.06/3.70 inference(rewrite,[status(thm)],[])).
% 5.06/3.70 tff(474,plain,
% 5.06/3.70 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 5.06/3.70 inference(monotonicity,[status(thm)],[473])).
% 5.06/3.70 tff(475,plain,
% 5.06/3.70 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))),
% 5.06/3.70 inference(transitivity,[status(thm)],[474, 472])).
% 5.06/3.70 tff(476,plain,
% 5.06/3.70 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))),
% 5.06/3.70 inference(quant_inst,[status(thm)],[])).
% 5.06/3.70 tff(477,plain,
% 5.06/3.70 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)),
% 5.06/3.70 inference(modus_ponens,[status(thm)],[476, 475])).
% 5.06/3.70 tff(478,plain,
% 5.06/3.70 (ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)),
% 5.06/3.70 inference(unit_resolution,[status(thm)],[477, 471, 14, 34, 51, 71, 91, 111, 131, 151, 171])).
% 5.06/3.70 tff(479,plain,
% 5.06/3.70 (ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)),
% 5.06/3.70 inference(unit_resolution,[status(thm)],[478, 457, 456, 458])).
% 5.06/3.70 tff(480,assumption,(ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)), introduced(assumption)).
% 5.06/3.70 tff(481,assumption,(ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)), introduced(assumption)).
% 5.06/3.70 tff(482,assumption,(ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)), introduced(assumption)).
% 5.06/3.70 tff(483,plain,
% 5.06/3.70 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))))),
% 5.06/3.70 inference(bind,[status(th)],[])).
% 5.06/3.70 tff(484,plain,
% 5.06/3.70 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))),
% 5.06/3.70 inference(quant_intro,[status(thm)],[483])).
% 5.06/3.70 tff(485,plain,
% 5.06/3.70 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))),
% 5.06/3.70 inference(rewrite,[status(thm)],[])).
% 5.06/3.70 tff(486,plain,
% 5.06/3.70 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))))),
% 5.06/3.70 inference(bind,[status(th)],[])).
% 5.06/3.70 tff(487,plain,
% 5.06/3.70 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))),
% 5.06/3.70 inference(quant_intro,[status(thm)],[486])).
% 5.06/3.70 tff(488,plain,
% 5.06/3.70 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))), ((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))), ((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))))), (((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))), (((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))))), ((((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))), ((((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))))), (((((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))), (((((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))))), ((((((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))), ((((((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))))), (((((((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))), (((((((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))))),
% 5.06/3.70 inference(bind,[status(th)],[])).
% 5.06/3.70 tff(489,plain,
% 5.06/3.70 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((((((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))),
% 5.06/3.70 inference(quant_intro,[status(thm)],[488])).
% 5.06/3.70 tff(490,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((((((((~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause69')).
% 5.06/3.71 tff(491,plain,
% 5.06/3.71 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))),
% 5.06/3.71 inference(modus_ponens,[status(thm)],[490, 489])).
% 5.06/3.71 tff(492,plain,
% 5.06/3.71 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))),
% 5.06/3.71 inference(modus_ponens,[status(thm)],[491, 487])).
% 5.06/3.71 tff(493,plain,
% 5.06/3.71 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))),
% 5.06/3.71 inference(modus_ponens,[status(thm)],[492, 485])).
% 5.06/3.71 tff(494,plain,(
% 5.06/3.71 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))),
% 5.06/3.71 inference(skolemize,[status(sab)],[493])).
% 5.06/3.71 tff(495,plain,
% 5.06/3.71 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))),
% 5.06/3.71 inference(modus_ponens,[status(thm)],[494, 484])).
% 5.06/3.71 tff(496,plain,
% 5.06/3.71 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 5.06/3.71 inference(rewrite,[status(thm)],[])).
% 5.06/3.71 tff(497,plain,
% 5.06/3.71 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 5.06/3.71 inference(quant_inst,[status(thm)],[])).
% 5.06/3.71 tff(498,plain,
% 5.06/3.71 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))),
% 5.06/3.71 inference(modus_ponens,[status(thm)],[497, 496])).
% 5.06/3.71 tff(499,plain,
% 5.06/3.71 ($false),
% 5.06/3.71 inference(unit_resolution,[status(thm)],[498, 495, 14, 34, 51, 71, 91, 111, 482])).
% 5.06/3.71 tff(500,plain,(~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)), inference(lemma,lemma(discharge,[]))).
% 5.06/3.71 tff(501,plain,
% 5.06/3.71 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))),
% 5.06/3.71 inference(bind,[status(th)],[])).
% 5.06/3.71 tff(502,plain,
% 5.06/3.71 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.06/3.71 inference(quant_intro,[status(thm)],[501])).
% 5.06/3.71 tff(503,plain,
% 5.06/3.71 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.06/3.71 inference(rewrite,[status(thm)],[])).
% 5.06/3.71 tff(504,plain,
% 5.06/3.71 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))))),
% 5.06/3.71 inference(bind,[status(th)],[])).
% 5.06/3.71 tff(505,plain,
% 5.06/3.71 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.06/3.71 inference(quant_intro,[status(thm)],[504])).
% 5.06/3.71 tff(506,plain,
% 5.06/3.71 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))))),
% 5.12/3.71 inference(bind,[status(th)],[])).
% 5.12/3.71 tff(507,plain,
% 5.12/3.71 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.12/3.71 inference(quant_intro,[status(thm)],[506])).
% 5.12/3.71 tff(508,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause131')).
% 5.12/3.71 tff(509,plain,
% 5.12/3.71 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.12/3.71 inference(modus_ponens,[status(thm)],[508, 507])).
% 5.12/3.71 tff(510,plain,
% 5.12/3.71 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.12/3.71 inference(modus_ponens,[status(thm)],[509, 505])).
% 5.12/3.71 tff(511,plain,
% 5.12/3.71 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.12/3.71 inference(modus_ponens,[status(thm)],[510, 503])).
% 5.12/3.71 tff(512,plain,(
% 5.12/3.71 ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.12/3.71 inference(skolemize,[status(sab)],[511])).
% 5.12/3.71 tff(513,plain,
% 5.12/3.71 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.12/3.71 inference(modus_ponens,[status(thm)],[512, 502])).
% 5.12/3.71 tff(514,plain,
% 5.12/3.71 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 5.12/3.71 inference(rewrite,[status(thm)],[])).
% 5.12/3.71 tff(515,plain,
% 5.12/3.71 (((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 5.12/3.71 inference(rewrite,[status(thm)],[])).
% 5.12/3.71 tff(516,plain,
% 5.12/3.71 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))))),
% 5.12/3.71 inference(monotonicity,[status(thm)],[515])).
% 5.12/3.71 tff(517,plain,
% 5.12/3.71 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 5.12/3.72 inference(transitivity,[status(thm)],[516, 514])).
% 5.12/3.72 tff(518,plain,
% 5.12/3.72 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 5.12/3.72 inference(quant_inst,[status(thm)],[])).
% 5.12/3.72 tff(519,plain,
% 5.12/3.72 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))),
% 5.12/3.72 inference(modus_ponens,[status(thm)],[518, 517])).
% 5.12/3.72 tff(520,plain,
% 5.12/3.72 ($false),
% 5.12/3.72 inference(unit_resolution,[status(thm)],[519, 513, 14, 34, 51, 71, 91, 111, 131, 151, 500, 481])).
% 5.12/3.72 tff(521,plain,(~ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)), inference(lemma,lemma(discharge,[]))).
% 5.12/3.72 tff(522,plain,
% 5.12/3.72 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))),
% 5.12/3.72 inference(bind,[status(th)],[])).
% 5.12/3.72 tff(523,plain,
% 5.12/3.72 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.12/3.72 inference(quant_intro,[status(thm)],[522])).
% 5.12/3.72 tff(524,plain,
% 5.12/3.72 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.12/3.72 inference(rewrite,[status(thm)],[])).
% 5.12/3.72 tff(525,plain,
% 5.12/3.72 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))))),
% 5.12/3.72 inference(bind,[status(th)],[])).
% 5.12/3.72 tff(526,plain,
% 5.12/3.72 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.12/3.72 inference(quant_intro,[status(thm)],[525])).
% 5.12/3.72 tff(527,plain,
% 5.12/3.72 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))))),
% 5.12/3.72 inference(bind,[status(th)],[])).
% 5.12/3.72 tff(528,plain,
% 5.12/3.72 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.12/3.72 inference(quant_intro,[status(thm)],[527])).
% 5.12/3.72 tff(529,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause143')).
% 5.12/3.72 tff(530,plain,
% 5.12/3.72 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.12/3.72 inference(modus_ponens,[status(thm)],[529, 528])).
% 5.12/3.72 tff(531,plain,
% 5.12/3.72 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.12/3.72 inference(modus_ponens,[status(thm)],[530, 526])).
% 5.12/3.72 tff(532,plain,
% 5.12/3.72 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.12/3.72 inference(modus_ponens,[status(thm)],[531, 524])).
% 5.12/3.72 tff(533,plain,(
% 5.12/3.72 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.12/3.72 inference(skolemize,[status(sab)],[532])).
% 5.12/3.72 tff(534,plain,
% 5.12/3.72 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.12/3.72 inference(modus_ponens,[status(thm)],[533, 523])).
% 5.12/3.72 tff(535,plain,
% 5.12/3.72 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))),
% 5.12/3.72 inference(rewrite,[status(thm)],[])).
% 5.12/3.72 tff(536,plain,
% 5.12/3.72 (((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))),
% 5.12/3.72 inference(rewrite,[status(thm)],[])).
% 5.12/3.72 tff(537,plain,
% 5.12/3.72 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 5.12/3.72 inference(monotonicity,[status(thm)],[536])).
% 5.12/3.72 tff(538,plain,
% 5.12/3.72 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))),
% 5.12/3.72 inference(transitivity,[status(thm)],[537, 535])).
% 5.12/3.72 tff(539,plain,
% 5.12/3.72 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 5.12/3.73 inference(quant_inst,[status(thm)],[])).
% 5.12/3.73 tff(540,plain,
% 5.12/3.73 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv13_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)),
% 5.12/3.73 inference(modus_ponens,[status(thm)],[539, 538])).
% 5.12/3.73 tff(541,plain,
% 5.12/3.73 ($false),
% 5.12/3.73 inference(unit_resolution,[status(thm)],[540, 534, 14, 34, 51, 71, 91, 111, 131, 151, 171, 521, 480])).
% 5.12/3.73 tff(542,plain,(~ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 5.12/3.73 tff(543,plain,
% 5.12/3.73 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))),
% 5.12/3.73 inference(bind,[status(th)],[])).
% 5.12/3.73 tff(544,plain,
% 5.12/3.73 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.12/3.73 inference(quant_intro,[status(thm)],[543])).
% 5.12/3.73 tff(545,plain,
% 5.12/3.73 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.12/3.73 inference(rewrite,[status(thm)],[])).
% 5.12/3.73 tff(546,plain,
% 5.12/3.73 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))))),
% 5.12/3.73 inference(bind,[status(th)],[])).
% 5.12/3.73 tff(547,plain,
% 5.12/3.73 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.12/3.73 inference(quant_intro,[status(thm)],[546])).
% 5.12/3.73 tff(548,plain,
% 5.12/3.73 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))))),
% 5.12/3.73 inference(bind,[status(th)],[])).
% 5.12/3.73 tff(549,plain,
% 5.12/3.73 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.12/3.73 inference(quant_intro,[status(thm)],[548])).
% 5.12/3.73 tff(550,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((((~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause190')).
% 5.12/3.73 tff(551,plain,
% 5.12/3.73 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.12/3.73 inference(modus_ponens,[status(thm)],[550, 549])).
% 5.12/3.73 tff(552,plain,
% 5.12/3.73 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.12/3.73 inference(modus_ponens,[status(thm)],[551, 547])).
% 5.12/3.73 tff(553,plain,
% 5.12/3.73 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.12/3.73 inference(modus_ponens,[status(thm)],[552, 545])).
% 5.12/3.73 tff(554,plain,(
% 5.12/3.73 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.12/3.73 inference(skolemize,[status(sab)],[553])).
% 5.12/3.73 tff(555,plain,
% 5.12/3.73 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.12/3.73 inference(modus_ponens,[status(thm)],[554, 544])).
% 5.12/3.73 tff(556,plain,
% 5.12/3.73 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 5.12/3.73 inference(rewrite,[status(thm)],[])).
% 5.12/3.73 tff(557,plain,
% 5.12/3.73 (((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 5.12/3.73 inference(rewrite,[status(thm)],[])).
% 5.12/3.73 tff(558,plain,
% 5.12/3.73 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))))),
% 5.12/3.74 inference(monotonicity,[status(thm)],[557])).
% 5.12/3.74 tff(559,plain,
% 5.12/3.74 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 5.12/3.74 inference(transitivity,[status(thm)],[558, 556])).
% 5.12/3.74 tff(560,plain,
% 5.12/3.74 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 5.12/3.74 inference(quant_inst,[status(thm)],[])).
% 5.12/3.74 tff(561,plain,
% 5.12/3.74 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv13_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))),
% 5.12/3.74 inference(modus_ponens,[status(thm)],[560, 559])).
% 5.12/3.74 tff(562,plain,
% 5.12/3.74 (ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv4_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))),
% 5.12/3.74 inference(unit_resolution,[status(thm)],[561, 555, 14, 34, 51, 71, 91, 111, 131, 151, 171, 542])).
% 5.12/3.74 tff(563,plain,
% 5.12/3.74 ($false),
% 5.12/3.74 inference(unit_resolution,[status(thm)],[562, 479, 457, 456])).
% 5.12/3.74 tff(564,plain,(ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv14_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 5.12/3.74 tff(565,plain,
% 5.12/3.74 (ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | ssPv15_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)),
% 5.12/3.74 inference(unit_resolution,[status(thm)],[564, 455])).
% 5.12/3.74 tff(566,plain,
% 5.12/3.74 (ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)),
% 5.12/3.74 inference(unit_resolution,[status(thm)],[565, 367])).
% 5.12/3.74 tff(567,plain,
% 5.12/3.74 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))),
% 5.12/3.74 inference(bind,[status(th)],[])).
% 5.12/3.74 tff(568,plain,
% 5.12/3.74 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.12/3.74 inference(quant_intro,[status(thm)],[567])).
% 5.12/3.74 tff(569,plain,
% 5.12/3.74 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.12/3.74 inference(rewrite,[status(thm)],[])).
% 5.12/3.74 tff(570,plain,
% 5.12/3.74 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))))),
% 5.12/3.74 inference(bind,[status(th)],[])).
% 5.12/3.74 tff(571,plain,
% 5.12/3.74 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.12/3.74 inference(quant_intro,[status(thm)],[570])).
% 5.12/3.74 tff(572,plain,
% 5.12/3.74 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))))),
% 5.12/3.74 inference(bind,[status(th)],[])).
% 5.12/3.74 tff(573,plain,
% 5.12/3.74 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.12/3.74 inference(quant_intro,[status(thm)],[572])).
% 5.12/3.74 tff(574,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause167')).
% 5.12/3.74 tff(575,plain,
% 5.12/3.74 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.12/3.74 inference(modus_ponens,[status(thm)],[574, 573])).
% 5.12/3.74 tff(576,plain,
% 5.12/3.74 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.12/3.74 inference(modus_ponens,[status(thm)],[575, 571])).
% 5.12/3.74 tff(577,plain,
% 5.12/3.74 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.12/3.74 inference(modus_ponens,[status(thm)],[576, 569])).
% 5.12/3.74 tff(578,plain,(
% 5.12/3.74 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.12/3.74 inference(skolemize,[status(sab)],[577])).
% 5.12/3.74 tff(579,plain,
% 5.12/3.74 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.12/3.74 inference(modus_ponens,[status(thm)],[578, 568])).
% 5.12/3.74 tff(580,plain,
% 5.12/3.74 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 5.12/3.74 inference(rewrite,[status(thm)],[])).
% 5.12/3.74 tff(581,plain,
% 5.12/3.74 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 5.12/3.75 inference(quant_inst,[status(thm)],[])).
% 5.12/3.75 tff(582,plain,
% 5.12/3.75 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))),
% 5.12/3.75 inference(modus_ponens,[status(thm)],[581, 580])).
% 5.12/3.75 tff(583,plain,
% 5.12/3.75 (ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv11_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))),
% 5.12/3.75 inference(unit_resolution,[status(thm)],[582, 579, 14, 34, 51, 71, 91, 111, 131, 151, 171, 191])).
% 5.12/3.75 tff(584,plain,
% 5.12/3.75 (ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)),
% 5.12/3.75 inference(unit_resolution,[status(thm)],[583, 566])).
% 5.12/3.75 tff(585,plain,
% 5.12/3.75 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))),
% 5.12/3.75 inference(bind,[status(th)],[])).
% 5.12/3.75 tff(586,plain,
% 5.12/3.75 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 5.12/3.75 inference(quant_intro,[status(thm)],[585])).
% 5.12/3.75 tff(587,plain,
% 5.12/3.75 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 5.12/3.75 inference(rewrite,[status(thm)],[])).
% 5.12/3.75 tff(588,plain,
% 5.12/3.75 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))))),
% 5.12/3.75 inference(bind,[status(th)],[])).
% 5.12/3.75 tff(589,plain,
% 5.12/3.75 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 5.12/3.75 inference(quant_intro,[status(thm)],[588])).
% 5.12/3.75 tff(590,plain,
% 5.12/3.75 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))))),
% 5.16/3.75 inference(bind,[status(th)],[])).
% 5.16/3.75 tff(591,plain,
% 5.16/3.75 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 5.16/3.75 inference(quant_intro,[status(thm)],[590])).
% 5.16/3.75 tff(592,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((((~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause205')).
% 5.16/3.75 tff(593,plain,
% 5.16/3.75 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 5.16/3.75 inference(modus_ponens,[status(thm)],[592, 591])).
% 5.16/3.75 tff(594,plain,
% 5.16/3.75 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 5.16/3.75 inference(modus_ponens,[status(thm)],[593, 589])).
% 5.16/3.75 tff(595,plain,
% 5.16/3.75 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 5.16/3.75 inference(modus_ponens,[status(thm)],[594, 587])).
% 5.16/3.75 tff(596,plain,(
% 5.16/3.75 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 5.16/3.75 inference(skolemize,[status(sab)],[595])).
% 5.16/3.75 tff(597,plain,
% 5.16/3.75 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 5.16/3.75 inference(modus_ponens,[status(thm)],[596, 586])).
% 5.16/3.75 tff(598,plain,
% 5.16/3.75 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 5.16/3.75 inference(rewrite,[status(thm)],[])).
% 5.16/3.75 tff(599,plain,
% 5.16/3.75 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 5.16/3.75 inference(quant_inst,[status(thm)],[])).
% 5.16/3.75 tff(600,plain,
% 5.16/3.75 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24))),
% 5.16/3.75 inference(modus_ponens,[status(thm)],[599, 598])).
% 5.16/3.75 tff(601,plain,
% 5.16/3.75 (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv11_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24))),
% 5.16/3.75 inference(unit_resolution,[status(thm)],[600, 597, 14, 34, 51, 71, 91, 111, 131, 151, 171, 191, 211])).
% 5.16/3.75 tff(602,plain,
% 5.16/3.75 (ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)),
% 5.16/3.75 inference(unit_resolution,[status(thm)],[601, 584])).
% 5.16/3.75 tff(603,plain,
% 5.16/3.75 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))),
% 5.16/3.76 inference(bind,[status(th)],[])).
% 5.16/3.76 tff(604,plain,
% 5.16/3.76 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 5.16/3.76 inference(quant_intro,[status(thm)],[603])).
% 5.16/3.76 tff(605,plain,
% 5.16/3.76 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 5.16/3.76 inference(rewrite,[status(thm)],[])).
% 5.16/3.76 tff(606,plain,
% 5.16/3.76 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))))),
% 5.16/3.76 inference(bind,[status(th)],[])).
% 5.16/3.76 tff(607,plain,
% 5.16/3.76 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 5.16/3.76 inference(quant_intro,[status(thm)],[606])).
% 5.16/3.76 tff(608,plain,
% 5.16/3.76 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))))),
% 5.16/3.76 inference(bind,[status(th)],[])).
% 5.16/3.76 tff(609,plain,
% 5.16/3.76 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (((((((((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 5.16/3.76 inference(quant_intro,[status(thm)],[608])).
% 5.16/3.76 tff(610,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (((((((((((((((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause223')).
% 5.16/3.76 tff(611,plain,
% 5.16/3.76 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 5.16/3.76 inference(modus_ponens,[status(thm)],[610, 609])).
% 5.16/3.76 tff(612,plain,
% 5.16/3.76 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 5.16/3.76 inference(modus_ponens,[status(thm)],[611, 607])).
% 5.16/3.76 tff(613,plain,
% 5.16/3.76 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 5.16/3.76 inference(modus_ponens,[status(thm)],[612, 605])).
% 5.16/3.76 tff(614,plain,(
% 5.16/3.76 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 5.16/3.76 inference(skolemize,[status(sab)],[613])).
% 5.16/3.76 tff(615,plain,
% 5.16/3.76 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 5.16/3.76 inference(modus_ponens,[status(thm)],[614, 604])).
% 5.16/3.76 tff(616,plain,
% 5.16/3.76 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 5.16/3.76 inference(rewrite,[status(thm)],[])).
% 5.16/3.76 tff(617,plain,
% 5.16/3.76 (((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24))) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 5.16/3.76 inference(rewrite,[status(thm)],[])).
% 5.16/3.76 tff(618,plain,
% 5.16/3.76 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 5.16/3.77 inference(monotonicity,[status(thm)],[617])).
% 5.16/3.77 tff(619,plain,
% 5.16/3.77 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 5.16/3.77 inference(transitivity,[status(thm)],[618, 616])).
% 5.16/3.77 tff(620,plain,
% 5.16/3.77 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 5.16/3.77 inference(quant_inst,[status(thm)],[])).
% 5.16/3.77 tff(621,plain,
% 5.16/3.77 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)),
% 5.16/3.77 inference(modus_ponens,[status(thm)],[620, 619])).
% 5.16/3.77 tff(622,plain,
% 5.16/3.77 ((~ssPv11_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)),
% 5.16/3.77 inference(unit_resolution,[status(thm)],[621, 615, 14, 34, 51, 71, 91, 111, 131, 151, 171, 191, 211, 231])).
% 5.16/3.77 tff(623,plain,
% 5.16/3.77 (ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)),
% 5.16/3.77 inference(unit_resolution,[status(thm)],[622, 602])).
% 5.16/3.77 tff(624,plain,
% 5.16/3.77 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))),
% 5.16/3.77 inference(bind,[status(th)],[])).
% 5.16/3.77 tff(625,plain,
% 5.16/3.77 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.16/3.77 inference(quant_intro,[status(thm)],[624])).
% 5.16/3.77 tff(626,plain,
% 5.16/3.77 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.16/3.77 inference(rewrite,[status(thm)],[])).
% 5.16/3.77 tff(627,plain,
% 5.16/3.77 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))))),
% 5.16/3.77 inference(bind,[status(th)],[])).
% 5.16/3.77 tff(628,plain,
% 5.16/3.77 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.16/3.77 inference(quant_intro,[status(thm)],[627])).
% 5.16/3.77 tff(629,plain,
% 5.16/3.77 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> (((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), rewrite((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))))),
% 5.16/3.77 inference(bind,[status(th)],[])).
% 5.16/3.77 tff(630,plain,
% 5.16/3.77 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((((((((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.16/3.77 inference(quant_intro,[status(thm)],[629])).
% 5.16/3.77 tff(631,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((((((((((((((((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause267')).
% 5.16/3.77 tff(632,plain,
% 5.16/3.77 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.16/3.77 inference(modus_ponens,[status(thm)],[631, 630])).
% 5.16/3.77 tff(633,plain,
% 5.16/3.77 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.16/3.78 inference(modus_ponens,[status(thm)],[632, 628])).
% 5.16/3.78 tff(634,plain,
% 5.16/3.78 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.16/3.78 inference(modus_ponens,[status(thm)],[633, 626])).
% 5.16/3.78 tff(635,plain,(
% 5.16/3.78 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.16/3.78 inference(skolemize,[status(sab)],[634])).
% 5.16/3.78 tff(636,plain,
% 5.16/3.78 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.16/3.78 inference(modus_ponens,[status(thm)],[635, 625])).
% 5.16/3.78 tff(637,plain,
% 5.16/3.78 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 5.16/3.78 inference(rewrite,[status(thm)],[])).
% 5.16/3.78 tff(638,plain,
% 5.16/3.78 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 5.16/3.78 inference(quant_inst,[status(thm)],[])).
% 5.16/3.78 tff(639,plain,
% 5.16/3.78 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 5.16/3.78 inference(modus_ponens,[status(thm)],[638, 637])).
% 5.16/3.78 tff(640,plain,
% 5.16/3.78 (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 5.16/3.78 inference(unit_resolution,[status(thm)],[639, 636, 14, 34, 51, 71, 91, 111, 131, 151, 171, 191, 211, 231, 252])).
% 5.16/3.78 tff(641,plain,
% 5.16/3.78 (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)),
% 5.16/3.78 inference(unit_resolution,[status(thm)],[640, 623])).
% 5.16/3.78 tff(642,assumption,(~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)), introduced(assumption)).
% 5.16/3.78 tff(643,plain,
% 5.16/3.78 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : refl((ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))),
% 5.16/3.78 inference(bind,[status(th)],[])).
% 5.16/3.78 tff(644,plain,
% 5.16/3.78 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.16/3.78 inference(quant_intro,[status(thm)],[643])).
% 5.16/3.78 tff(645,plain,
% 5.16/3.78 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.16/3.78 inference(rewrite,[status(thm)],[])).
% 5.16/3.78 tff(646,plain,
% 5.16/3.78 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ($false | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), rewrite(($false | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((~ssNder1_0) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))))),
% 5.16/3.78 inference(bind,[status(th)],[])).
% 5.16/3.78 tff(647,plain,
% 5.16/3.78 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.16/3.78 inference(quant_intro,[status(thm)],[646])).
% 5.16/3.78 tff(648,plain,
% 5.16/3.78 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_0) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_0) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))))),
% 5.16/3.79 inference(bind,[status(th)],[])).
% 5.16/3.79 tff(649,plain,
% 5.16/3.79 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.16/3.79 inference(quant_intro,[status(thm)],[648])).
% 5.16/3.79 tff(650,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause247')).
% 5.16/3.79 tff(651,plain,
% 5.16/3.79 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.16/3.79 inference(modus_ponens,[status(thm)],[650, 649])).
% 5.16/3.79 tff(652,plain,
% 5.16/3.79 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.16/3.79 inference(modus_ponens,[status(thm)],[651, 647])).
% 5.16/3.79 tff(653,plain,
% 5.16/3.79 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.16/3.79 inference(modus_ponens,[status(thm)],[652, 645])).
% 5.16/3.79 tff(654,plain,(
% 5.16/3.79 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.16/3.79 inference(skolemize,[status(sab)],[653])).
% 5.16/3.79 tff(655,plain,
% 5.16/3.79 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.16/3.79 inference(modus_ponens,[status(thm)],[654, 644])).
% 5.16/3.79 tff(656,plain,
% 5.16/3.79 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20))),
% 5.16/3.79 inference(rewrite,[status(thm)],[])).
% 5.16/3.79 tff(657,plain,
% 5.16/3.79 ((ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23))) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20))),
% 5.16/3.79 inference(rewrite,[status(thm)],[])).
% 5.16/3.79 tff(658,plain,
% 5.16/3.79 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)))),
% 5.16/3.79 inference(monotonicity,[status(thm)],[657])).
% 5.16/3.79 tff(659,plain,
% 5.16/3.79 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20))),
% 5.16/3.79 inference(transitivity,[status(thm)],[658, 656])).
% 5.16/3.79 tff(660,plain,
% 5.16/3.79 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 5.16/3.80 inference(quant_inst,[status(thm)],[])).
% 5.16/3.80 tff(661,plain,
% 5.16/3.80 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)),
% 5.16/3.80 inference(modus_ponens,[status(thm)],[660, 659])).
% 5.16/3.80 tff(662,plain,
% 5.16/3.80 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)),
% 5.16/3.80 inference(unit_resolution,[status(thm)],[661, 655, 14, 34, 51, 71, 91, 111, 131, 151, 171, 191, 211, 231, 252])).
% 5.16/3.80 tff(663,assumption,(ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)), introduced(assumption)).
% 5.16/3.80 tff(664,plain,
% 5.16/3.80 (^[X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))),
% 5.16/3.80 inference(bind,[status(th)],[])).
% 5.16/3.80 tff(665,plain,
% 5.16/3.80 (![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) <=> ![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))),
% 5.16/3.80 inference(quant_intro,[status(thm)],[664])).
% 5.16/3.80 tff(666,plain,
% 5.16/3.80 (![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) <=> ![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))),
% 5.16/3.80 inference(rewrite,[status(thm)],[])).
% 5.16/3.80 tff(667,plain,
% 5.16/3.80 (^[X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))),
% 5.16/3.80 inference(bind,[status(th)],[])).
% 5.16/3.80 tff(668,plain,
% 5.16/3.80 (![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) <=> ![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))),
% 5.16/3.80 inference(quant_intro,[status(thm)],[667])).
% 5.16/3.80 tff(669,plain,
% 5.16/3.80 (^[X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> (((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), rewrite((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> (((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), rewrite((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))), ((((((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))),
% 5.16/3.80 inference(bind,[status(th)],[])).
% 5.16/3.80 tff(670,plain,
% 5.16/3.80 (![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (((((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) <=> ![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))),
% 5.16/3.80 inference(quant_intro,[status(thm)],[669])).
% 5.16/3.80 tff(671,axiom,(![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (((((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause315')).
% 5.16/3.80 tff(672,plain,
% 5.16/3.80 (![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))),
% 5.16/3.80 inference(modus_ponens,[status(thm)],[671, 670])).
% 5.16/3.80 tff(673,plain,
% 5.16/3.80 (![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))),
% 5.16/3.80 inference(modus_ponens,[status(thm)],[672, 668])).
% 5.16/3.80 tff(674,plain,
% 5.16/3.80 (![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))),
% 5.16/3.80 inference(modus_ponens,[status(thm)],[673, 666])).
% 5.16/3.80 tff(675,plain,(
% 5.16/3.80 ![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))),
% 5.16/3.80 inference(skolemize,[status(sab)],[674])).
% 5.16/3.80 tff(676,plain,
% 5.16/3.80 (![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))),
% 5.16/3.80 inference(modus_ponens,[status(thm)],[675, 665])).
% 5.16/3.80 tff(677,plain,
% 5.16/3.80 (((~![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18))) <=> ((~![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18))),
% 5.16/3.81 inference(rewrite,[status(thm)],[])).
% 5.16/3.81 tff(678,plain,
% 5.16/3.81 ((~![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18))),
% 5.16/3.81 inference(quant_inst,[status(thm)],[])).
% 5.16/3.81 tff(679,plain,
% 5.16/3.81 ((~![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)),
% 5.16/3.81 inference(modus_ponens,[status(thm)],[678, 677])).
% 5.16/3.81 tff(680,plain,
% 5.16/3.81 ($false),
% 5.16/3.81 inference(unit_resolution,[status(thm)],[679, 676, 14, 34, 51, 71, 91, 111, 131, 151, 171, 191, 211, 231, 252, 663, 662, 642])).
% 5.16/3.81 tff(681,plain,(ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20))), inference(lemma,lemma(discharge,[]))).
% 5.16/3.81 tff(682,plain,
% 5.16/3.81 (ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)),
% 5.16/3.81 inference(unit_resolution,[status(thm)],[681, 641])).
% 5.16/3.81 tff(683,assumption,(~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)), introduced(assumption)).
% 5.16/3.81 tff(684,plain,
% 5.16/3.81 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20)) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20)))),
% 5.16/3.81 inference(bind,[status(th)],[])).
% 5.16/3.81 tff(685,plain,
% 5.16/3.81 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))),
% 5.16/3.81 inference(quant_intro,[status(thm)],[684])).
% 5.16/3.81 tff(686,plain,
% 5.16/3.81 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))),
% 5.16/3.81 inference(rewrite,[status(thm)],[])).
% 5.16/3.81 tff(687,plain,
% 5.16/3.81 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20)) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20)))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20)) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20)) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))))),
% 5.16/3.81 inference(bind,[status(th)],[])).
% 5.16/3.81 tff(688,plain,
% 5.16/3.81 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))),
% 5.16/3.81 inference(quant_intro,[status(thm)],[687])).
% 5.16/3.81 tff(689,plain,
% 5.16/3.81 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))), (((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))))),
% 5.16/3.81 inference(bind,[status(th)],[])).
% 5.16/3.81 tff(690,plain,
% 5.16/3.81 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))),
% 5.16/3.81 inference(quant_intro,[status(thm)],[689])).
% 5.16/3.81 tff(691,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause217')).
% 5.16/3.81 tff(692,plain,
% 5.16/3.81 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))),
% 5.16/3.81 inference(modus_ponens,[status(thm)],[691, 690])).
% 5.16/3.81 tff(693,plain,
% 5.16/3.81 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))),
% 5.16/3.81 inference(modus_ponens,[status(thm)],[692, 688])).
% 5.16/3.81 tff(694,plain,
% 5.16/3.81 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))),
% 5.16/3.81 inference(modus_ponens,[status(thm)],[693, 686])).
% 5.16/3.81 tff(695,plain,(
% 5.16/3.81 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))),
% 5.16/3.81 inference(skolemize,[status(sab)],[694])).
% 5.16/3.81 tff(696,plain,
% 5.16/3.81 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))),
% 5.16/3.81 inference(modus_ponens,[status(thm)],[695, 685])).
% 5.16/3.81 tff(697,plain,
% 5.16/3.81 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20))),
% 5.16/3.82 inference(rewrite,[status(thm)],[])).
% 5.16/3.82 tff(698,plain,
% 5.16/3.82 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20))),
% 5.16/3.82 inference(quant_inst,[status(thm)],[])).
% 5.16/3.82 tff(699,plain,
% 5.16/3.82 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)),
% 5.16/3.82 inference(modus_ponens,[status(thm)],[698, 697])).
% 5.16/3.82 tff(700,plain,
% 5.16/3.82 (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)),
% 5.16/3.82 inference(unit_resolution,[status(thm)],[699, 696, 14, 34, 51, 71, 91, 111, 131, 151, 171, 191, 211, 231])).
% 5.16/3.82 tff(701,plain,
% 5.16/3.82 (^[X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))),
% 5.16/3.82 inference(bind,[status(th)],[])).
% 5.16/3.82 tff(702,plain,
% 5.16/3.82 (![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 5.16/3.82 inference(quant_intro,[status(thm)],[701])).
% 5.16/3.82 tff(703,plain,
% 5.16/3.82 (![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 5.16/3.82 inference(rewrite,[status(thm)],[])).
% 5.16/3.82 tff(704,plain,
% 5.16/3.82 (^[X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))))),
% 5.16/3.82 inference(bind,[status(th)],[])).
% 5.16/3.82 tff(705,plain,
% 5.16/3.82 (![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 5.16/3.82 inference(quant_intro,[status(thm)],[704])).
% 5.16/3.82 tff(706,plain,
% 5.16/3.82 (^[X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> (((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), rewrite((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> (((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), rewrite((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))))),
% 5.16/3.82 inference(bind,[status(th)],[])).
% 5.16/3.82 tff(707,plain,
% 5.16/3.82 (![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (((((((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) <=> ![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 5.16/3.82 inference(quant_intro,[status(thm)],[706])).
% 5.16/3.82 tff(708,axiom,(![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (((((((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause319')).
% 5.16/3.82 tff(709,plain,
% 5.16/3.82 (![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 5.16/3.82 inference(modus_ponens,[status(thm)],[708, 707])).
% 5.16/3.82 tff(710,plain,
% 5.16/3.82 (![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 5.16/3.82 inference(modus_ponens,[status(thm)],[709, 705])).
% 5.16/3.82 tff(711,plain,
% 5.16/3.82 (![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 5.16/3.82 inference(modus_ponens,[status(thm)],[710, 703])).
% 5.16/3.82 tff(712,plain,(
% 5.16/3.82 ![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 5.16/3.82 inference(skolemize,[status(sab)],[711])).
% 5.16/3.82 tff(713,plain,
% 5.16/3.82 (![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 5.16/3.83 inference(modus_ponens,[status(thm)],[712, 702])).
% 5.16/3.83 tff(714,plain,
% 5.16/3.83 (((~![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18))) <=> ((~![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18))),
% 5.16/3.83 inference(rewrite,[status(thm)],[])).
% 5.16/3.83 tff(715,plain,
% 5.16/3.83 (((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20))) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18))),
% 5.16/3.83 inference(rewrite,[status(thm)],[])).
% 5.16/3.83 tff(716,plain,
% 5.16/3.83 (((~![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)))) <=> ((~![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)))),
% 5.16/3.83 inference(monotonicity,[status(thm)],[715])).
% 5.16/3.83 tff(717,plain,
% 5.16/3.83 (((~![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)))) <=> ((~![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18))),
% 5.16/3.83 inference(transitivity,[status(thm)],[716, 714])).
% 5.16/3.83 tff(718,plain,
% 5.16/3.83 ((~![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)))),
% 5.16/3.84 inference(quant_inst,[status(thm)],[])).
% 5.16/3.84 tff(719,plain,
% 5.16/3.84 ((~![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)),
% 5.16/3.84 inference(modus_ponens,[status(thm)],[718, 717])).
% 5.16/3.84 tff(720,plain,
% 5.16/3.84 ($false),
% 5.16/3.84 inference(unit_resolution,[status(thm)],[719, 713, 14, 34, 51, 71, 91, 111, 131, 151, 171, 191, 211, 231, 700, 252, 662, 683])).
% 5.16/3.84 tff(721,plain,(ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)), inference(lemma,lemma(discharge,[]))).
% 5.16/3.84 tff(722,plain,
% 5.16/3.84 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc18)) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc18)))),
% 5.16/3.84 inference(bind,[status(th)],[])).
% 5.16/3.84 tff(723,plain,
% 5.16/3.84 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc18)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc18))),
% 5.25/3.84 inference(quant_intro,[status(thm)],[722])).
% 5.25/3.84 tff(724,plain,
% 5.25/3.84 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc18)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc18))),
% 5.25/3.84 inference(rewrite,[status(thm)],[])).
% 5.25/3.84 tff(725,plain,
% 5.25/3.84 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc18)) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc18)))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc18)) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc18))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc18)) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc18))))),
% 5.25/3.84 inference(bind,[status(th)],[])).
% 5.25/3.84 tff(726,plain,
% 5.25/3.84 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc18)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc18))),
% 5.25/3.84 inference(quant_intro,[status(thm)],[725])).
% 5.25/3.84 tff(727,plain,
% 5.25/3.84 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc18)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc18)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc18)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc18))), ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc18)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc18))))),
% 5.25/3.84 inference(bind,[status(th)],[])).
% 5.25/3.84 tff(728,plain,
% 5.25/3.84 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc18)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc18))),
% 5.25/3.84 inference(quant_intro,[status(thm)],[727])).
% 5.25/3.84 tff(729,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc18))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause249')).
% 5.25/3.84 tff(730,plain,
% 5.25/3.84 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc18))),
% 5.25/3.84 inference(modus_ponens,[status(thm)],[729, 728])).
% 5.25/3.84 tff(731,plain,
% 5.25/3.84 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc18))),
% 5.25/3.84 inference(modus_ponens,[status(thm)],[730, 726])).
% 5.25/3.84 tff(732,plain,
% 5.25/3.84 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc18))),
% 5.25/3.84 inference(modus_ponens,[status(thm)],[731, 724])).
% 5.25/3.84 tff(733,plain,(
% 5.25/3.84 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc18))),
% 5.25/3.84 inference(skolemize,[status(sab)],[732])).
% 5.25/3.84 tff(734,plain,
% 5.25/3.84 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc18))),
% 5.25/3.84 inference(modus_ponens,[status(thm)],[733, 723])).
% 5.25/3.84 tff(735,plain,
% 5.25/3.84 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc18))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc18))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18))),
% 5.25/3.84 inference(rewrite,[status(thm)],[])).
% 5.25/3.84 tff(736,plain,
% 5.25/3.84 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc18))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18))),
% 5.25/3.85 inference(quant_inst,[status(thm)],[])).
% 5.25/3.85 tff(737,plain,
% 5.25/3.85 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc18))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)),
% 5.25/3.85 inference(modus_ponens,[status(thm)],[736, 735])).
% 5.25/3.85 tff(738,plain,
% 5.25/3.85 (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)),
% 5.25/3.85 inference(unit_resolution,[status(thm)],[737, 734, 14, 34, 51, 71, 91, 111, 131, 151, 171, 191, 211, 231, 252])).
% 5.25/3.85 tff(739,plain,
% 5.25/3.85 (^[X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))),
% 5.25/3.85 inference(bind,[status(th)],[])).
% 5.25/3.85 tff(740,plain,
% 5.25/3.85 (![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) <=> ![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))),
% 5.25/3.85 inference(quant_intro,[status(thm)],[739])).
% 5.25/3.85 tff(741,plain,
% 5.25/3.85 (![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) <=> ![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))),
% 5.25/3.85 inference(rewrite,[status(thm)],[])).
% 5.25/3.85 tff(742,plain,
% 5.25/3.85 (^[X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))))),
% 5.25/3.85 inference(bind,[status(th)],[])).
% 5.25/3.85 tff(743,plain,
% 5.25/3.85 (![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) <=> ![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))),
% 5.25/3.85 inference(quant_intro,[status(thm)],[742])).
% 5.25/3.85 tff(744,plain,
% 5.25/3.85 (^[X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) <=> ((~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), (((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> (((~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), rewrite((((~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), (((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))), ((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> (((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), rewrite((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), ((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))), (((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> (((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), rewrite((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), (((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))), ((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), ((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))), (((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), (((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))), ((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), ((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))), (((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), (((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))), ((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), ((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))), (((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), (((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))), ((((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), ((((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))), (((((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), (((((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))), ((((((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), ((((((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))), (((((((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), (((((((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))), ((((((((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), ((((((((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))), (((((((((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), (((((((((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))), ((((((((((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), ((((((((((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))))),
% 5.25/3.85 inference(bind,[status(th)],[])).
% 5.25/3.85 tff(745,plain,
% 5.25/3.85 (![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (((((((((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) <=> ![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))),
% 5.25/3.85 inference(quant_intro,[status(thm)],[744])).
% 5.25/3.85 tff(746,axiom,(![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (((((((((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause373')).
% 5.25/3.85 tff(747,plain,
% 5.25/3.85 (![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))),
% 5.25/3.85 inference(modus_ponens,[status(thm)],[746, 745])).
% 5.25/3.85 tff(748,plain,
% 5.25/3.85 (![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))),
% 5.25/3.85 inference(modus_ponens,[status(thm)],[747, 743])).
% 5.25/3.85 tff(749,plain,
% 5.25/3.85 (![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))),
% 5.25/3.85 inference(modus_ponens,[status(thm)],[748, 741])).
% 5.25/3.85 tff(750,plain,(
% 5.25/3.85 ![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))),
% 5.25/3.86 inference(skolemize,[status(sab)],[749])).
% 5.25/3.86 tff(751,plain,
% 5.25/3.86 (![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))),
% 5.25/3.86 inference(modus_ponens,[status(thm)],[750, 740])).
% 5.25/3.86 tff(752,plain,
% 5.25/3.86 (((~![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18))) <=> ((~![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18))),
% 5.25/3.86 inference(rewrite,[status(thm)],[])).
% 5.25/3.86 tff(753,plain,
% 5.25/3.86 (((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18))) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18))),
% 5.25/3.86 inference(rewrite,[status(thm)],[])).
% 5.25/3.86 tff(754,plain,
% 5.25/3.86 (((~![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)))) <=> ((~![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)))),
% 5.25/3.86 inference(monotonicity,[status(thm)],[753])).
% 5.25/3.86 tff(755,plain,
% 5.25/3.86 (((~![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)))) <=> ((~![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18))),
% 5.25/3.87 inference(transitivity,[status(thm)],[754, 752])).
% 5.25/3.87 tff(756,plain,
% 5.25/3.87 ((~![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)))),
% 5.25/3.87 inference(quant_inst,[status(thm)],[])).
% 5.25/3.87 tff(757,plain,
% 5.25/3.87 ((~![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)) | (~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)),
% 5.25/3.87 inference(modus_ponens,[status(thm)],[756, 755])).
% 5.25/3.87 tff(758,plain,
% 5.25/3.87 ((~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)) | (~ssPv7_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)),
% 5.25/3.87 inference(unit_resolution,[status(thm)],[757, 751, 14, 34, 51, 71, 91, 111, 131, 151, 171, 191, 211, 231, 252, 662, 738])).
% 5.25/3.87 tff(759,plain,
% 5.25/3.87 ((~ssPv11_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)) | ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)),
% 5.25/3.87 inference(unit_resolution,[status(thm)],[758, 721])).
% 5.25/3.87 tff(760,plain,
% 5.25/3.87 (ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)),
% 5.25/3.87 inference(unit_resolution,[status(thm)],[759, 682])).
% 5.25/3.87 tff(761,plain,
% 5.25/3.87 (^[X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))),
% 5.25/3.87 inference(bind,[status(th)],[])).
% 5.25/3.87 tff(762,plain,
% 5.25/3.87 (![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) <=> ![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))),
% 5.25/3.87 inference(quant_intro,[status(thm)],[761])).
% 5.25/3.87 tff(763,plain,
% 5.25/3.87 (![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) <=> ![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))),
% 5.25/3.87 inference(rewrite,[status(thm)],[])).
% 5.25/3.87 tff(764,plain,
% 5.25/3.87 (^[X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))))),
% 5.25/3.87 inference(bind,[status(th)],[])).
% 5.25/3.87 tff(765,plain,
% 5.25/3.87 (![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) <=> ![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))),
% 5.25/3.87 inference(quant_intro,[status(thm)],[764])).
% 5.25/3.87 tff(766,plain,
% 5.25/3.87 (^[X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), (((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> (((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), rewrite((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), (((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))), ((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), ((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))), (((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), (((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))), ((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), ((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))), (((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), (((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))), ((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), ((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))), (((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), (((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))), ((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), ((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))), (((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), (((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))), ((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), ((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))), (((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), (((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))), ((((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), ((((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))), (((((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), (((((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))), ((((((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), ((((((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))))),
% 5.25/3.87 inference(bind,[status(th)],[])).
% 5.25/3.87 tff(767,plain,
% 5.25/3.87 (![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (((((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))),
% 5.25/3.88 inference(quant_intro,[status(thm)],[766])).
% 5.25/3.88 tff(768,axiom,(![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : (((((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause323')).
% 5.25/3.88 tff(769,plain,
% 5.25/3.88 (![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))),
% 5.25/3.88 inference(modus_ponens,[status(thm)],[768, 767])).
% 5.25/3.88 tff(770,plain,
% 5.25/3.88 (![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))),
% 5.25/3.88 inference(modus_ponens,[status(thm)],[769, 765])).
% 5.25/3.88 tff(771,plain,
% 5.25/3.88 (![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))),
% 5.25/3.88 inference(modus_ponens,[status(thm)],[770, 763])).
% 5.25/3.88 tff(772,plain,(
% 5.25/3.88 ![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))),
% 5.25/3.88 inference(skolemize,[status(sab)],[771])).
% 5.25/3.88 tff(773,plain,
% 5.25/3.88 (![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))),
% 5.25/3.88 inference(modus_ponens,[status(thm)],[772, 762])).
% 5.25/3.88 tff(774,plain,
% 5.25/3.88 (((~![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)))) <=> ((~![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)))),
% 5.25/3.88 inference(rewrite,[status(thm)],[])).
% 5.25/3.88 tff(775,plain,
% 5.25/3.88 ((~![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18)))),
% 5.25/3.88 inference(quant_inst,[status(thm)],[])).
% 5.25/3.88 tff(776,plain,
% 5.25/3.88 ((~![X9: $i, W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20, skc18))),
% 5.25/3.88 inference(modus_ponens,[status(thm)],[775, 774])).
% 5.25/3.88 tff(777,plain,
% 5.25/3.88 (ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)),
% 5.25/3.88 inference(unit_resolution,[status(thm)],[776, 773, 14, 34, 51, 71, 91, 111, 131, 151, 171, 191, 211, 231, 252, 662, 760])).
% 5.25/3.88 tff(778,plain,
% 5.25/3.88 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))),
% 5.25/3.88 inference(bind,[status(th)],[])).
% 5.25/3.88 tff(779,plain,
% 5.25/3.88 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 5.25/3.88 inference(quant_intro,[status(thm)],[778])).
% 5.25/3.88 tff(780,plain,
% 5.25/3.88 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 5.25/3.88 inference(rewrite,[status(thm)],[])).
% 5.25/3.88 tff(781,plain,
% 5.25/3.88 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))))),
% 5.29/3.88 inference(bind,[status(th)],[])).
% 5.29/3.88 tff(782,plain,
% 5.29/3.88 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 5.29/3.88 inference(quant_intro,[status(thm)],[781])).
% 5.29/3.88 tff(783,plain,
% 5.29/3.88 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))))),
% 5.29/3.89 inference(bind,[status(th)],[])).
% 5.29/3.89 tff(784,plain,
% 5.29/3.89 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 5.29/3.89 inference(quant_intro,[status(thm)],[783])).
% 5.29/3.89 tff(785,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause274')).
% 5.29/3.89 tff(786,plain,
% 5.29/3.89 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 5.29/3.89 inference(modus_ponens,[status(thm)],[785, 784])).
% 5.29/3.89 tff(787,plain,
% 5.29/3.89 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 5.29/3.89 inference(modus_ponens,[status(thm)],[786, 782])).
% 5.29/3.89 tff(788,plain,
% 5.29/3.89 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 5.29/3.89 inference(modus_ponens,[status(thm)],[787, 780])).
% 5.29/3.89 tff(789,plain,(
% 5.29/3.89 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 5.29/3.89 inference(skolemize,[status(sab)],[788])).
% 5.29/3.89 tff(790,plain,
% 5.29/3.89 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 5.29/3.89 inference(modus_ponens,[status(thm)],[789, 779])).
% 5.29/3.89 tff(791,plain,
% 5.29/3.89 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)))),
% 5.29/3.89 inference(rewrite,[status(thm)],[])).
% 5.29/3.89 tff(792,plain,
% 5.29/3.89 (((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20))) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)))),
% 5.29/3.89 inference(rewrite,[status(thm)],[])).
% 5.29/3.89 tff(793,plain,
% 5.29/3.89 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20))))),
% 5.29/3.89 inference(monotonicity,[status(thm)],[792])).
% 5.29/3.89 tff(794,plain,
% 5.29/3.89 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)))),
% 5.29/3.90 inference(transitivity,[status(thm)],[793, 791])).
% 5.29/3.90 tff(795,plain,
% 5.29/3.90 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20)))),
% 5.29/3.90 inference(quant_inst,[status(thm)],[])).
% 5.29/3.90 tff(796,plain,
% 5.29/3.90 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc20))),
% 5.29/3.90 inference(modus_ponens,[status(thm)],[795, 794])).
% 5.29/3.90 tff(797,plain,
% 5.29/3.90 (ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)),
% 5.29/3.90 inference(unit_resolution,[status(thm)],[796, 790, 14, 34, 51, 71, 91, 111, 131, 151, 171, 191, 211, 231, 252, 777])).
% 5.29/3.90 tff(798,plain,
% 5.29/3.90 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))),
% 5.29/3.90 inference(bind,[status(th)],[])).
% 5.29/3.90 tff(799,plain,
% 5.29/3.90 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.29/3.90 inference(quant_intro,[status(thm)],[798])).
% 5.29/3.90 tff(800,plain,
% 5.29/3.90 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.29/3.90 inference(rewrite,[status(thm)],[])).
% 5.29/3.90 tff(801,plain,
% 5.29/3.90 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))))),
% 5.29/3.90 inference(bind,[status(th)],[])).
% 5.29/3.90 tff(802,plain,
% 5.29/3.90 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.29/3.90 inference(quant_intro,[status(thm)],[801])).
% 5.29/3.90 tff(803,plain,
% 5.29/3.90 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> (((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), rewrite((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))))),
% 5.29/3.90 inference(bind,[status(th)],[])).
% 5.29/3.90 tff(804,plain,
% 5.29/3.90 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((((((((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.29/3.90 inference(quant_intro,[status(thm)],[803])).
% 5.29/3.90 tff(805,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((((((((((((((((~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause261')).
% 5.29/3.90 tff(806,plain,
% 5.29/3.90 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.29/3.90 inference(modus_ponens,[status(thm)],[805, 804])).
% 5.29/3.90 tff(807,plain,
% 5.29/3.90 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.29/3.90 inference(modus_ponens,[status(thm)],[806, 802])).
% 5.29/3.90 tff(808,plain,
% 5.29/3.90 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.29/3.90 inference(modus_ponens,[status(thm)],[807, 800])).
% 5.29/3.90 tff(809,plain,(
% 5.29/3.90 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.29/3.90 inference(skolemize,[status(sab)],[808])).
% 5.29/3.90 tff(810,plain,
% 5.29/3.90 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.29/3.90 inference(modus_ponens,[status(thm)],[809, 799])).
% 5.29/3.90 tff(811,plain,
% 5.29/3.90 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21))),
% 5.29/3.91 inference(rewrite,[status(thm)],[])).
% 5.29/3.91 tff(812,plain,
% 5.29/3.91 (((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23))) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21))),
% 5.29/3.91 inference(rewrite,[status(thm)],[])).
% 5.29/3.91 tff(813,plain,
% 5.29/3.91 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))),
% 5.29/3.91 inference(monotonicity,[status(thm)],[812])).
% 5.29/3.91 tff(814,plain,
% 5.29/3.91 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21))),
% 5.29/3.91 inference(transitivity,[status(thm)],[813, 811])).
% 5.29/3.91 tff(815,plain,
% 5.29/3.91 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 5.29/3.91 inference(quant_inst,[status(thm)],[])).
% 5.29/3.91 tff(816,plain,
% 5.29/3.91 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv17_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)),
% 5.29/3.91 inference(modus_ponens,[status(thm)],[815, 814])).
% 5.29/3.91 tff(817,plain,
% 5.29/3.91 ($false),
% 5.29/3.91 inference(unit_resolution,[status(thm)],[816, 810, 14, 34, 51, 71, 91, 111, 131, 151, 171, 191, 211, 231, 797, 252, 1])).
% 5.29/3.91 tff(818,plain,(ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)), inference(lemma,lemma(discharge,[]))).
% 5.29/3.91 tff(819,assumption,(ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)), introduced(assumption)).
% 5.29/3.91 tff(820,plain,
% 5.29/3.91 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))),
% 5.29/3.91 inference(bind,[status(th)],[])).
% 5.29/3.91 tff(821,plain,
% 5.29/3.91 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))),
% 5.29/3.91 inference(quant_intro,[status(thm)],[820])).
% 5.29/3.91 tff(822,plain,
% 5.29/3.91 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))),
% 5.29/3.92 inference(rewrite,[status(thm)],[])).
% 5.29/3.92 tff(823,plain,
% 5.29/3.92 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))))),
% 5.29/3.92 inference(bind,[status(th)],[])).
% 5.29/3.92 tff(824,plain,
% 5.29/3.92 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))),
% 5.29/3.92 inference(quant_intro,[status(thm)],[823])).
% 5.29/3.92 tff(825,plain,
% 5.29/3.92 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), ((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), ((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), (((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), (((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), ((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), ((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), (((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), (((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), ((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), ((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), (((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), (((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), ((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), ((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), (((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), (((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), ((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), ((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), (((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), (((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), ((((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), ((((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))))), (((((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))), (((((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))))),
% 5.29/3.92 inference(bind,[status(th)],[])).
% 5.29/3.92 tff(826,plain,
% 5.29/3.92 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))),
% 5.29/3.92 inference(quant_intro,[status(thm)],[825])).
% 5.29/3.92 tff(827,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((((((((((((((~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause218')).
% 5.29/3.92 tff(828,plain,
% 5.29/3.92 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))),
% 5.29/3.92 inference(modus_ponens,[status(thm)],[827, 826])).
% 5.29/3.92 tff(829,plain,
% 5.29/3.92 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))),
% 5.29/3.92 inference(modus_ponens,[status(thm)],[828, 824])).
% 5.29/3.92 tff(830,plain,
% 5.29/3.92 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))),
% 5.29/3.92 inference(modus_ponens,[status(thm)],[829, 822])).
% 5.29/3.92 tff(831,plain,(
% 5.29/3.92 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))),
% 5.29/3.92 inference(skolemize,[status(sab)],[830])).
% 5.29/3.92 tff(832,plain,
% 5.29/3.92 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))),
% 5.29/3.92 inference(modus_ponens,[status(thm)],[831, 821])).
% 5.29/3.92 tff(833,plain,
% 5.29/3.92 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))),
% 5.29/3.92 inference(rewrite,[status(thm)],[])).
% 5.29/3.92 tff(834,plain,
% 5.29/3.92 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))),
% 5.29/3.92 inference(quant_inst,[status(thm)],[])).
% 5.29/3.92 tff(835,plain,
% 5.29/3.92 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc21)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21))),
% 5.29/3.92 inference(modus_ponens,[status(thm)],[834, 833])).
% 5.29/3.92 tff(836,plain,
% 5.29/3.92 ($false),
% 5.29/3.92 inference(unit_resolution,[status(thm)],[835, 832, 14, 34, 51, 71, 91, 111, 131, 151, 171, 191, 211, 231, 819])).
% 5.29/3.92 tff(837,plain,(~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)), inference(lemma,lemma(discharge,[]))).
% 5.29/3.92 tff(838,plain,
% 5.29/3.92 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21))),
% 5.29/3.93 inference(rewrite,[status(thm)],[])).
% 5.29/3.93 tff(839,plain,
% 5.29/3.93 (((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23))) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21))),
% 5.29/3.93 inference(rewrite,[status(thm)],[])).
% 5.29/3.93 tff(840,plain,
% 5.29/3.93 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))),
% 5.29/3.93 inference(monotonicity,[status(thm)],[839])).
% 5.29/3.93 tff(841,plain,
% 5.29/3.93 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21))),
% 5.29/3.93 inference(transitivity,[status(thm)],[840, 838])).
% 5.29/3.93 tff(842,plain,
% 5.29/3.93 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 5.29/3.93 inference(quant_inst,[status(thm)],[])).
% 5.29/3.93 tff(843,plain,
% 5.29/3.93 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)),
% 5.29/3.93 inference(modus_ponens,[status(thm)],[842, 841])).
% 5.29/3.93 tff(844,plain,
% 5.29/3.93 ((~ssPv11_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)),
% 5.29/3.93 inference(unit_resolution,[status(thm)],[843, 636, 14, 34, 51, 71, 91, 111, 131, 151, 171, 191, 211, 231, 252])).
% 5.29/3.93 tff(845,plain,
% 5.29/3.93 (ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)),
% 5.29/3.93 inference(unit_resolution,[status(thm)],[844, 623])).
% 5.29/3.93 tff(846,plain,
% 5.29/3.93 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 5.29/3.93 inference(bind,[status(th)],[])).
% 5.29/3.93 tff(847,plain,
% 5.29/3.93 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))),
% 5.29/3.93 inference(quant_intro,[status(thm)],[846])).
% 5.29/3.93 tff(848,plain,
% 5.29/3.93 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))),
% 5.29/3.94 inference(rewrite,[status(thm)],[])).
% 5.29/3.94 tff(849,plain,
% 5.29/3.94 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))),
% 5.29/3.94 inference(bind,[status(th)],[])).
% 5.29/3.94 tff(850,plain,
% 5.29/3.94 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))),
% 5.29/3.94 inference(quant_intro,[status(thm)],[849])).
% 5.29/3.94 tff(851,plain,
% 5.29/3.94 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> (((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), rewrite((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))), ((((((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))), (((((((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))),
% 5.29/3.94 inference(bind,[status(th)],[])).
% 5.29/3.94 tff(852,plain,
% 5.29/3.94 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((((((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))),
% 5.29/3.94 inference(quant_intro,[status(thm)],[851])).
% 5.29/3.94 tff(853,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((((((((((((((((((~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause331')).
% 5.29/3.94 tff(854,plain,
% 5.29/3.94 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))),
% 5.29/3.94 inference(modus_ponens,[status(thm)],[853, 852])).
% 5.29/3.94 tff(855,plain,
% 5.29/3.94 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))),
% 5.29/3.94 inference(modus_ponens,[status(thm)],[854, 850])).
% 5.29/3.94 tff(856,plain,
% 5.29/3.94 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))),
% 5.29/3.94 inference(modus_ponens,[status(thm)],[855, 848])).
% 5.29/3.94 tff(857,plain,(
% 5.29/3.94 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))),
% 5.29/3.94 inference(skolemize,[status(sab)],[856])).
% 5.29/3.94 tff(858,plain,
% 5.29/3.94 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))),
% 5.29/3.94 inference(modus_ponens,[status(thm)],[857, 847])).
% 5.29/3.94 tff(859,plain,
% 5.29/3.94 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))),
% 5.29/3.94 inference(rewrite,[status(thm)],[])).
% 5.29/3.94 tff(860,plain,
% 5.29/3.94 (((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))),
% 5.29/3.95 inference(rewrite,[status(thm)],[])).
% 5.29/3.95 tff(861,plain,
% 5.29/3.95 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21))))),
% 5.29/3.95 inference(monotonicity,[status(thm)],[860])).
% 5.29/3.95 tff(862,plain,
% 5.29/3.95 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))),
% 5.29/3.95 inference(transitivity,[status(thm)],[861, 859])).
% 5.29/3.95 tff(863,plain,
% 5.29/3.95 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21))),
% 5.29/3.95 inference(quant_inst,[status(thm)],[])).
% 5.29/3.95 tff(864,plain,
% 5.29/3.95 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | (~ssPv11_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21))),
% 5.29/3.95 inference(modus_ponens,[status(thm)],[863, 862])).
% 5.29/3.95 tff(865,plain,
% 5.29/3.95 (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | (~ssPv17_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21))),
% 5.29/3.95 inference(unit_resolution,[status(thm)],[864, 858, 14, 34, 51, 71, 91, 111, 131, 151, 171, 191, 211, 231, 252, 845])).
% 5.29/3.95 tff(866,plain,
% 5.29/3.95 (ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)),
% 5.29/3.95 inference(unit_resolution,[status(thm)],[865, 837, 818])).
% 5.29/3.96 tff(867,assumption,(ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)), introduced(assumption)).
% 5.29/3.96 tff(868,assumption,(~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)), introduced(assumption)).
% 5.29/3.96 tff(869,plain,
% 5.29/3.96 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))),
% 5.29/3.96 inference(bind,[status(th)],[])).
% 5.29/3.96 tff(870,plain,
% 5.29/3.96 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 5.29/3.96 inference(quant_intro,[status(thm)],[869])).
% 5.29/3.96 tff(871,plain,
% 5.29/3.96 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 5.29/3.96 inference(rewrite,[status(thm)],[])).
% 5.29/3.96 tff(872,plain,
% 5.29/3.96 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))))),
% 5.29/3.96 inference(bind,[status(th)],[])).
% 5.29/3.96 tff(873,plain,
% 5.29/3.96 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 5.29/3.96 inference(quant_intro,[status(thm)],[872])).
% 5.29/3.96 tff(874,plain,
% 5.29/3.96 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))), (((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))))),
% 5.37/3.96 inference(bind,[status(th)],[])).
% 5.37/3.96 tff(875,plain,
% 5.37/3.96 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 5.37/3.96 inference(quant_intro,[status(thm)],[874])).
% 5.37/3.96 tff(876,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((((((((((((((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause275')).
% 5.37/3.96 tff(877,plain,
% 5.37/3.96 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 5.37/3.96 inference(modus_ponens,[status(thm)],[876, 875])).
% 5.37/3.96 tff(878,plain,
% 5.37/3.96 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 5.37/3.96 inference(modus_ponens,[status(thm)],[877, 873])).
% 5.37/3.96 tff(879,plain,
% 5.37/3.96 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 5.37/3.96 inference(modus_ponens,[status(thm)],[878, 871])).
% 5.37/3.96 tff(880,plain,(
% 5.37/3.96 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 5.37/3.96 inference(skolemize,[status(sab)],[879])).
% 5.37/3.96 tff(881,plain,
% 5.37/3.96 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 5.37/3.96 inference(modus_ponens,[status(thm)],[880, 870])).
% 5.37/3.96 tff(882,plain,
% 5.37/3.96 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))),
% 5.37/3.97 inference(rewrite,[status(thm)],[])).
% 5.37/3.97 tff(883,plain,
% 5.37/3.97 (((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21))) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))),
% 5.37/3.97 inference(rewrite,[status(thm)],[])).
% 5.37/3.97 tff(884,plain,
% 5.37/3.97 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21))))),
% 5.37/3.97 inference(monotonicity,[status(thm)],[883])).
% 5.37/3.97 tff(885,plain,
% 5.37/3.97 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))),
% 5.38/3.97 inference(transitivity,[status(thm)],[884, 882])).
% 5.38/3.97 tff(886,plain,
% 5.38/3.97 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)))),
% 5.38/3.97 inference(quant_inst,[status(thm)],[])).
% 5.38/3.97 tff(887,plain,
% 5.38/3.97 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21))),
% 5.38/3.97 inference(modus_ponens,[status(thm)],[886, 885])).
% 5.38/3.97 tff(888,plain,
% 5.38/3.97 ($false),
% 5.38/3.97 inference(unit_resolution,[status(thm)],[887, 881, 14, 34, 51, 71, 91, 111, 131, 151, 171, 191, 211, 231, 868, 252, 867])).
% 5.38/3.97 tff(889,plain,((~ssPv16_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)), inference(lemma,lemma(discharge,[]))).
% 5.38/3.97 tff(890,plain,
% 5.38/3.97 (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)),
% 5.38/3.97 inference(unit_resolution,[status(thm)],[889, 866])).
% 5.38/3.97 tff(891,assumption,(~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)), introduced(assumption)).
% 5.38/3.97 tff(892,assumption,(ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)), introduced(assumption)).
% 5.38/3.97 tff(893,plain,
% 5.38/3.97 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))),
% 5.38/3.97 inference(bind,[status(th)],[])).
% 5.38/3.97 tff(894,plain,
% 5.38/3.97 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.38/3.97 inference(quant_intro,[status(thm)],[893])).
% 5.38/3.97 tff(895,plain,
% 5.38/3.97 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.38/3.97 inference(rewrite,[status(thm)],[])).
% 5.38/3.97 tff(896,plain,
% 5.38/3.97 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))))),
% 5.38/3.97 inference(bind,[status(th)],[])).
% 5.38/3.97 tff(897,plain,
% 5.38/3.97 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.38/3.97 inference(quant_intro,[status(thm)],[896])).
% 5.38/3.97 tff(898,plain,
% 5.38/3.97 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), (((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), (((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))))), ((((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))), ((((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))))),
% 5.38/3.98 inference(bind,[status(th)],[])).
% 5.38/3.98 tff(899,plain,
% 5.38/3.98 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.38/3.98 inference(quant_intro,[status(thm)],[898])).
% 5.38/3.98 tff(900,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : (((((((((((((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause230')).
% 5.38/3.98 tff(901,plain,
% 5.38/3.98 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.38/3.98 inference(modus_ponens,[status(thm)],[900, 899])).
% 5.38/3.98 tff(902,plain,
% 5.38/3.98 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.38/3.98 inference(modus_ponens,[status(thm)],[901, 897])).
% 5.38/3.98 tff(903,plain,
% 5.38/3.98 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.38/3.98 inference(modus_ponens,[status(thm)],[902, 895])).
% 5.38/3.98 tff(904,plain,(
% 5.38/3.98 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.38/3.98 inference(skolemize,[status(sab)],[903])).
% 5.38/3.98 tff(905,plain,
% 5.38/3.98 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))),
% 5.38/3.98 inference(modus_ponens,[status(thm)],[904, 894])).
% 5.38/3.98 tff(906,plain,
% 5.38/3.98 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 5.38/3.98 inference(rewrite,[status(thm)],[])).
% 5.38/3.98 tff(907,plain,
% 5.38/3.98 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 5.38/3.98 inference(quant_inst,[status(thm)],[])).
% 5.38/3.98 tff(908,plain,
% 5.38/3.98 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24) | (~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 5.38/3.98 inference(modus_ponens,[status(thm)],[907, 906])).
% 5.38/3.98 tff(909,plain,
% 5.38/3.98 ($false),
% 5.38/3.98 inference(unit_resolution,[status(thm)],[908, 905, 14, 34, 51, 71, 91, 111, 131, 151, 171, 191, 211, 231, 892, 891])).
% 5.38/3.98 tff(910,plain,((~ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)), inference(lemma,lemma(discharge,[]))).
% 5.38/3.98 tff(911,plain,
% 5.38/3.98 (ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)),
% 5.38/3.98 inference(unit_resolution,[status(thm)],[910, 890])).
% 5.38/3.98 tff(912,plain,
% 5.38/3.98 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))),
% 5.38/3.98 inference(bind,[status(th)],[])).
% 5.38/3.98 tff(913,plain,
% 5.38/3.98 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 5.38/3.98 inference(quant_intro,[status(thm)],[912])).
% 5.38/3.98 tff(914,plain,
% 5.38/3.98 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 5.38/3.98 inference(rewrite,[status(thm)],[])).
% 5.38/3.98 tff(915,plain,
% 5.38/3.98 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))))),
% 5.38/3.98 inference(bind,[status(th)],[])).
% 5.38/3.98 tff(916,plain,
% 5.38/3.98 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 5.38/3.98 inference(quant_intro,[status(thm)],[915])).
% 5.38/3.98 tff(917,plain,
% 5.38/3.98 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), ((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), ((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), (((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), (((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))))),
% 5.38/3.99 inference(bind,[status(th)],[])).
% 5.38/3.99 tff(918,plain,
% 5.38/3.99 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 5.38/3.99 inference(quant_intro,[status(thm)],[917])).
% 5.38/3.99 tff(919,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((((((((((((((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause211')).
% 5.38/3.99 tff(920,plain,
% 5.38/3.99 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 5.38/3.99 inference(modus_ponens,[status(thm)],[919, 918])).
% 5.38/3.99 tff(921,plain,
% 5.38/3.99 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 5.38/3.99 inference(modus_ponens,[status(thm)],[920, 916])).
% 5.38/3.99 tff(922,plain,
% 5.38/3.99 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 5.38/3.99 inference(modus_ponens,[status(thm)],[921, 914])).
% 5.38/3.99 tff(923,plain,(
% 5.38/3.99 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 5.38/3.99 inference(skolemize,[status(sab)],[922])).
% 5.38/3.99 tff(924,plain,
% 5.38/3.99 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 5.38/3.99 inference(modus_ponens,[status(thm)],[923, 913])).
% 5.38/3.99 tff(925,plain,
% 5.38/3.99 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24))),
% 5.38/3.99 inference(rewrite,[status(thm)],[])).
% 5.38/3.99 tff(926,plain,
% 5.38/3.99 (((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24))) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24))),
% 5.38/3.99 inference(rewrite,[status(thm)],[])).
% 5.38/3.99 tff(927,plain,
% 5.38/3.99 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 5.38/3.99 inference(monotonicity,[status(thm)],[926])).
% 5.38/3.99 tff(928,plain,
% 5.38/3.99 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24))),
% 5.38/3.99 inference(transitivity,[status(thm)],[927, 925])).
% 5.38/3.99 tff(929,plain,
% 5.38/3.99 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 5.38/3.99 inference(quant_inst,[status(thm)],[])).
% 5.38/3.99 tff(930,plain,
% 5.38/3.99 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)) | (~ssPv16_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)),
% 5.38/3.99 inference(modus_ponens,[status(thm)],[929, 928])).
% 5.38/3.99 tff(931,plain,
% 5.38/3.99 (ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)),
% 5.38/3.99 inference(unit_resolution,[status(thm)],[930, 924, 14, 34, 51, 71, 91, 111, 131, 151, 171, 191, 211, 911])).
% 5.38/3.99 tff(932,plain,
% 5.38/3.99 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))),
% 5.38/4.00 inference(bind,[status(th)],[])).
% 5.38/4.00 tff(933,plain,
% 5.38/4.00 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 5.38/4.00 inference(quant_intro,[status(thm)],[932])).
% 5.38/4.00 tff(934,plain,
% 5.38/4.00 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 5.38/4.00 inference(rewrite,[status(thm)],[])).
% 5.38/4.00 tff(935,plain,
% 5.38/4.00 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))))),
% 5.38/4.00 inference(bind,[status(th)],[])).
% 5.38/4.00 tff(936,plain,
% 5.38/4.00 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 5.38/4.00 inference(quant_intro,[status(thm)],[935])).
% 5.38/4.00 tff(937,plain,
% 5.38/4.00 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))))),
% 5.38/4.00 inference(bind,[status(th)],[])).
% 5.38/4.00 tff(938,plain,
% 5.38/4.00 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 5.38/4.00 inference(quant_intro,[status(thm)],[937])).
% 5.38/4.00 tff(939,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause172')).
% 5.38/4.00 tff(940,plain,
% 5.38/4.00 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 5.38/4.00 inference(modus_ponens,[status(thm)],[939, 938])).
% 5.38/4.00 tff(941,plain,
% 5.38/4.00 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 5.38/4.00 inference(modus_ponens,[status(thm)],[940, 936])).
% 5.38/4.00 tff(942,plain,
% 5.38/4.00 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 5.38/4.00 inference(modus_ponens,[status(thm)],[941, 934])).
% 5.38/4.00 tff(943,plain,(
% 5.38/4.00 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 5.38/4.00 inference(skolemize,[status(sab)],[942])).
% 5.38/4.00 tff(944,plain,
% 5.38/4.00 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 5.38/4.00 inference(modus_ponens,[status(thm)],[943, 933])).
% 5.38/4.00 tff(945,plain,
% 5.38/4.00 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 5.38/4.00 inference(rewrite,[status(thm)],[])).
% 5.38/4.00 tff(946,plain,
% 5.38/4.00 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24)))),
% 5.38/4.00 inference(quant_inst,[status(thm)],[])).
% 5.38/4.00 tff(947,plain,
% 5.38/4.00 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24) | (~ssPv16_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24, skc24))),
% 5.38/4.00 inference(modus_ponens,[status(thm)],[946, 945])).
% 5.38/4.00 tff(948,plain,
% 5.38/4.00 (ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)),
% 5.38/4.00 inference(unit_resolution,[status(thm)],[947, 944, 14, 34, 51, 71, 91, 111, 131, 151, 171, 191, 931])).
% 5.38/4.00 tff(949,assumption,(~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)), introduced(assumption)).
% 5.38/4.00 tff(950,assumption,(ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)), introduced(assumption)).
% 5.38/4.00 tff(951,plain,
% 5.38/4.00 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))),
% 5.38/4.00 inference(bind,[status(th)],[])).
% 5.38/4.00 tff(952,plain,
% 5.38/4.00 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.38/4.00 inference(quant_intro,[status(thm)],[951])).
% 5.38/4.00 tff(953,plain,
% 5.38/4.00 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.38/4.00 inference(rewrite,[status(thm)],[])).
% 5.38/4.00 tff(954,plain,
% 5.38/4.00 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))))),
% 5.38/4.00 inference(bind,[status(th)],[])).
% 5.38/4.00 tff(955,plain,
% 5.38/4.00 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.38/4.00 inference(quant_intro,[status(thm)],[954])).
% 5.38/4.00 tff(956,plain,
% 5.38/4.00 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))))), (((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))), (((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))))),
% 5.38/4.01 inference(bind,[status(th)],[])).
% 5.38/4.01 tff(957,plain,
% 5.38/4.01 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.38/4.01 inference(quant_intro,[status(thm)],[956])).
% 5.38/4.01 tff(958,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause158')).
% 5.38/4.01 tff(959,plain,
% 5.38/4.01 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.38/4.01 inference(modus_ponens,[status(thm)],[958, 957])).
% 5.38/4.01 tff(960,plain,
% 5.38/4.01 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.38/4.01 inference(modus_ponens,[status(thm)],[959, 955])).
% 5.38/4.01 tff(961,plain,
% 5.38/4.01 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.38/4.01 inference(modus_ponens,[status(thm)],[960, 953])).
% 5.38/4.01 tff(962,plain,(
% 5.38/4.01 ![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.38/4.01 inference(skolemize,[status(sab)],[961])).
% 5.38/4.01 tff(963,plain,
% 5.38/4.01 (![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))),
% 5.38/4.01 inference(modus_ponens,[status(thm)],[962, 952])).
% 5.38/4.01 tff(964,plain,
% 5.38/4.01 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))),
% 5.38/4.01 inference(rewrite,[status(thm)],[])).
% 5.38/4.01 tff(965,plain,
% 5.38/4.01 (((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24))) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))),
% 5.38/4.01 inference(rewrite,[status(thm)],[])).
% 5.38/4.01 tff(966,plain,
% 5.38/4.01 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 5.38/4.01 inference(monotonicity,[status(thm)],[965])).
% 5.38/4.01 tff(967,plain,
% 5.38/4.01 (((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))),
% 5.38/4.01 inference(transitivity,[status(thm)],[966, 964])).
% 5.38/4.01 tff(968,plain,
% 5.38/4.01 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)))),
% 5.38/4.01 inference(quant_inst,[status(thm)],[])).
% 5.38/4.01 tff(969,plain,
% 5.38/4.01 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | (~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)),
% 5.38/4.01 inference(modus_ponens,[status(thm)],[968, 967])).
% 5.38/4.01 tff(970,plain,
% 5.38/4.01 ($false),
% 5.38/4.01 inference(unit_resolution,[status(thm)],[969, 963, 14, 34, 51, 71, 91, 111, 131, 151, 171, 950, 949])).
% 5.38/4.01 tff(971,plain,((~ssPv16_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24, skc24)) | ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)), inference(lemma,lemma(discharge,[]))).
% 5.38/4.01 tff(972,plain,
% 5.38/4.01 (ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)),
% 5.38/4.01 inference(unit_resolution,[status(thm)],[971, 948])).
% 5.38/4.01 tff(973,assumption,(ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)), introduced(assumption)).
% 5.38/4.01 tff(974,assumption,(~ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)), introduced(assumption)).
% 5.38/4.01 tff(975,plain,
% 5.38/4.01 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))),
% 5.38/4.01 inference(bind,[status(th)],[])).
% 5.38/4.01 tff(976,plain,
% 5.38/4.01 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.38/4.01 inference(quant_intro,[status(thm)],[975])).
% 5.38/4.01 tff(977,plain,
% 5.38/4.01 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.38/4.01 inference(rewrite,[status(thm)],[])).
% 5.38/4.01 tff(978,plain,
% 5.38/4.01 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))))),
% 5.38/4.01 inference(bind,[status(th)],[])).
% 5.38/4.01 tff(979,plain,
% 5.38/4.01 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.38/4.01 inference(quant_intro,[status(thm)],[978])).
% 5.38/4.01 tff(980,plain,
% 5.38/4.01 (^[W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))))), ((((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))), ((((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))))),
% 5.38/4.01 inference(bind,[status(th)],[])).
% 5.38/4.01 tff(981,plain,
% 5.38/4.01 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.38/4.01 inference(quant_intro,[status(thm)],[980])).
% 5.38/4.01 tff(982,axiom,(![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : (((((((((((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause128')).
% 5.38/4.01 tff(983,plain,
% 5.38/4.01 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[982, 981])).
% 5.38/4.02 tff(984,plain,
% 5.38/4.02 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[983, 979])).
% 5.38/4.02 tff(985,plain,
% 5.38/4.02 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[984, 977])).
% 5.38/4.02 tff(986,plain,(
% 5.38/4.02 ![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.38/4.02 inference(skolemize,[status(sab)],[985])).
% 5.38/4.02 tff(987,plain,
% 5.38/4.02 (![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[986, 976])).
% 5.38/4.02 tff(988,plain,
% 5.38/4.02 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(989,plain,
% 5.38/4.02 (((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24))) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(990,plain,
% 5.38/4.02 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 5.38/4.02 inference(monotonicity,[status(thm)],[989])).
% 5.38/4.02 tff(991,plain,
% 5.38/4.02 (((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))),
% 5.38/4.02 inference(transitivity,[status(thm)],[990, 988])).
% 5.38/4.02 tff(992,plain,
% 5.38/4.02 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)))),
% 5.38/4.02 inference(quant_inst,[status(thm)],[])).
% 5.38/4.02 tff(993,plain,
% 5.38/4.02 ((~![W: $i, V: $i, Z: $i, Y: $i, X3: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | (~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)),
% 5.38/4.02 inference(modus_ponens,[status(thm)],[992, 991])).
% 5.38/4.02 tff(994,plain,
% 5.38/4.02 ($false),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[993, 987, 14, 34, 51, 71, 91, 111, 131, 151, 974, 973])).
% 5.38/4.02 tff(995,plain,((~ssPv16_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25, skc24)) | ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)), inference(lemma,lemma(discharge,[]))).
% 5.38/4.02 tff(996,plain,
% 5.38/4.02 (ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)),
% 5.38/4.02 inference(unit_resolution,[status(thm)],[995, 972])).
% 5.38/4.02 tff(997,assumption,(ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)), introduced(assumption)).
% 5.38/4.02 tff(998,assumption,(~ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)), introduced(assumption)).
% 5.38/4.02 tff(999,plain,
% 5.38/4.02 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))),
% 5.38/4.02 inference(bind,[status(th)],[])).
% 5.38/4.02 tff(1000,plain,
% 5.38/4.02 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 5.38/4.02 inference(quant_intro,[status(thm)],[999])).
% 5.38/4.02 tff(1001,plain,
% 5.38/4.02 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 5.38/4.02 inference(rewrite,[status(thm)],[])).
% 5.38/4.02 tff(1002,plain,
% 5.38/4.02 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))))),
% 5.38/4.02 inference(bind,[status(th)],[])).
% 5.38/4.02 tff(1003,plain,
% 5.38/4.02 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 5.38/4.02 inference(quant_intro,[status(thm)],[1002])).
% 5.38/4.02 tff(1004,plain,
% 5.38/4.02 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))))), rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))))),
% 5.43/4.02 inference(bind,[status(th)],[])).
% 5.43/4.02 tff(1005,plain,
% 5.43/4.02 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 5.43/4.02 inference(quant_intro,[status(thm)],[1004])).
% 5.43/4.02 tff(1006,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause102')).
% 5.43/4.02 tff(1007,plain,
% 5.43/4.02 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 5.43/4.02 inference(modus_ponens,[status(thm)],[1006, 1005])).
% 5.43/4.02 tff(1008,plain,
% 5.43/4.02 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 5.43/4.02 inference(modus_ponens,[status(thm)],[1007, 1003])).
% 5.43/4.02 tff(1009,plain,
% 5.43/4.02 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 5.43/4.02 inference(modus_ponens,[status(thm)],[1008, 1001])).
% 5.43/4.02 tff(1010,plain,(
% 5.43/4.02 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 5.43/4.02 inference(skolemize,[status(sab)],[1009])).
% 5.43/4.02 tff(1011,plain,
% 5.43/4.02 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 5.43/4.03 inference(modus_ponens,[status(thm)],[1010, 1000])).
% 5.43/4.03 tff(1012,plain,
% 5.43/4.03 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 5.43/4.03 inference(rewrite,[status(thm)],[])).
% 5.43/4.03 tff(1013,plain,
% 5.43/4.03 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)))),
% 5.43/4.03 inference(quant_inst,[status(thm)],[])).
% 5.43/4.03 tff(1014,plain,
% 5.43/4.03 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X2: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv16_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27) | (~ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25))),
% 5.43/4.03 inference(modus_ponens,[status(thm)],[1013, 1012])).
% 5.43/4.03 tff(1015,plain,
% 5.43/4.03 ($false),
% 5.43/4.03 inference(unit_resolution,[status(thm)],[1014, 1011, 14, 34, 51, 71, 91, 111, 131, 998, 997])).
% 5.43/4.03 tff(1016,plain,((~ssPv16_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc25)) | ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)), inference(lemma,lemma(discharge,[]))).
% 5.43/4.03 tff(1017,plain,
% 5.43/4.03 (ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)),
% 5.43/4.03 inference(unit_resolution,[status(thm)],[1016, 996])).
% 5.43/4.03 tff(1018,plain,
% 5.43/4.03 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))),
% 5.43/4.03 inference(bind,[status(th)],[])).
% 5.43/4.03 tff(1019,plain,
% 5.43/4.03 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 5.43/4.03 inference(quant_intro,[status(thm)],[1018])).
% 5.43/4.03 tff(1020,plain,
% 5.43/4.03 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 5.43/4.03 inference(rewrite,[status(thm)],[])).
% 5.43/4.03 tff(1021,plain,
% 5.43/4.03 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))))),
% 5.43/4.03 inference(bind,[status(th)],[])).
% 5.43/4.03 tff(1022,plain,
% 5.43/4.03 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 5.43/4.03 inference(quant_intro,[status(thm)],[1021])).
% 5.43/4.03 tff(1023,plain,
% 5.43/4.03 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_4r1r1r1r1(U, V, W, X))))), rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), (((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), (((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))))), ((((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))), ((((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))))),
% 5.43/4.03 inference(bind,[status(th)],[])).
% 5.43/4.03 tff(1024,plain,
% 5.43/4.03 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 5.43/4.03 inference(quant_intro,[status(thm)],[1023])).
% 5.43/4.03 tff(1025,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause80')).
% 5.43/4.03 tff(1026,plain,
% 5.43/4.03 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 5.43/4.03 inference(modus_ponens,[status(thm)],[1025, 1024])).
% 5.43/4.03 tff(1027,plain,
% 5.43/4.03 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 5.43/4.03 inference(modus_ponens,[status(thm)],[1026, 1022])).
% 5.43/4.03 tff(1028,plain,
% 5.43/4.03 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 5.43/4.03 inference(modus_ponens,[status(thm)],[1027, 1020])).
% 5.43/4.03 tff(1029,plain,(
% 5.43/4.03 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 5.43/4.03 inference(skolemize,[status(sab)],[1028])).
% 5.43/4.03 tff(1030,plain,
% 5.43/4.03 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))),
% 5.43/4.03 inference(modus_ponens,[status(thm)],[1029, 1019])).
% 5.43/4.03 tff(1031,plain,
% 5.43/4.03 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))),
% 5.43/4.03 inference(rewrite,[status(thm)],[])).
% 5.43/4.03 tff(1032,plain,
% 5.43/4.03 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))),
% 5.43/4.03 inference(quant_inst,[status(thm)],[])).
% 5.43/4.03 tff(1033,plain,
% 5.43/4.03 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssPv16_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssPv16_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27))),
% 5.43/4.03 inference(modus_ponens,[status(thm)],[1032, 1031])).
% 5.43/4.03 tff(1034,plain,
% 5.43/4.03 (ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)),
% 5.43/4.03 inference(unit_resolution,[status(thm)],[1033, 1030, 14, 34, 51, 71, 91, 111, 1017])).
% 5.43/4.03 tff(1035,plain,
% 5.43/4.03 (^[W: $i, V: $i, U: $i, X: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31))))),
% 5.43/4.03 inference(bind,[status(th)],[])).
% 5.43/4.03 tff(1036,plain,
% 5.43/4.03 (![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))),
% 5.43/4.03 inference(quant_intro,[status(thm)],[1035])).
% 5.43/4.03 tff(1037,plain,
% 5.43/4.03 (![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))),
% 5.43/4.03 inference(rewrite,[status(thm)],[])).
% 5.43/4.03 tff(1038,plain,
% 5.43/4.03 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))))),
% 5.43/4.03 inference(bind,[status(th)],[])).
% 5.43/4.03 tff(1039,plain,
% 5.43/4.03 (![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))),
% 5.43/4.03 inference(quant_intro,[status(thm)],[1038])).
% 5.43/4.03 tff(1040,plain,
% 5.43/4.03 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))), ((((~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))), ((((~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31))))), (((((~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))), (((((~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31))))), ((((((~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))), ((((((~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))))),
% 5.43/4.03 inference(bind,[status(th)],[])).
% 5.43/4.03 tff(1041,plain,
% 5.43/4.03 (![W: $i, V: $i, U: $i, X: $i] : (((((~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))),
% 5.43/4.03 inference(quant_intro,[status(thm)],[1040])).
% 5.43/4.03 tff(1042,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause21')).
% 5.43/4.03 tff(1043,plain,
% 5.43/4.03 (![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))),
% 5.43/4.03 inference(modus_ponens,[status(thm)],[1042, 1041])).
% 5.43/4.03 tff(1044,plain,
% 5.43/4.03 (![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))),
% 5.43/4.03 inference(modus_ponens,[status(thm)],[1043, 1039])).
% 5.43/4.03 tff(1045,plain,
% 5.43/4.03 (![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))),
% 5.43/4.03 inference(modus_ponens,[status(thm)],[1044, 1037])).
% 5.43/4.03 tff(1046,plain,(
% 5.43/4.03 ![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))),
% 5.43/4.03 inference(skolemize,[status(sab)],[1045])).
% 5.43/4.03 tff(1047,plain,
% 5.43/4.03 (![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))),
% 5.43/4.03 inference(modus_ponens,[status(thm)],[1046, 1036])).
% 5.43/4.03 tff(1048,plain,
% 5.43/4.03 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))),
% 5.43/4.03 inference(rewrite,[status(thm)],[])).
% 5.43/4.03 tff(1049,plain,
% 5.43/4.03 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))),
% 5.43/4.03 inference(quant_inst,[status(thm)],[])).
% 5.43/4.03 tff(1050,plain,
% 5.43/4.03 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssPv16_5r1r1r1r1r1(U, V, W, X, skc31)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))),
% 5.43/4.03 inference(modus_ponens,[status(thm)],[1049, 1048])).
% 5.43/4.03 tff(1051,plain,
% 5.43/4.03 (~ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)),
% 5.43/4.03 inference(unit_resolution,[status(thm)],[1050, 1047, 14, 34, 51])).
% 5.43/4.03 tff(1052,plain,
% 5.43/4.03 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))),
% 5.43/4.03 inference(bind,[status(th)],[])).
% 5.43/4.03 tff(1053,plain,
% 5.43/4.03 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 5.43/4.03 inference(quant_intro,[status(thm)],[1052])).
% 5.43/4.03 tff(1054,plain,
% 5.43/4.03 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 5.43/4.03 inference(rewrite,[status(thm)],[])).
% 5.43/4.03 tff(1055,plain,
% 5.43/4.03 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))))),
% 5.43/4.03 inference(bind,[status(th)],[])).
% 5.43/4.03 tff(1056,plain,
% 5.43/4.03 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 5.43/4.03 inference(quant_intro,[status(thm)],[1055])).
% 5.43/4.03 tff(1057,plain,
% 5.43/4.03 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_3r1r1r1(U, V, W))))), rewrite((((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), ((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_2r1r1(U, V))))), rewrite((((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), (((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_1r1(U))))), rewrite((((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), ((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_0)))), rewrite((((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), ((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))))), (((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y)))), rewrite((((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))), (((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))))),
% 5.43/4.03 inference(bind,[status(th)],[])).
% 5.43/4.03 tff(1058,plain,
% 5.43/4.03 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 5.43/4.03 inference(quant_intro,[status(thm)],[1057])).
% 5.43/4.03 tff(1059,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause59')).
% 5.43/4.03 tff(1060,plain,
% 5.43/4.03 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 5.43/4.03 inference(modus_ponens,[status(thm)],[1059, 1058])).
% 5.43/4.03 tff(1061,plain,
% 5.43/4.03 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 5.43/4.03 inference(modus_ponens,[status(thm)],[1060, 1056])).
% 5.43/4.03 tff(1062,plain,
% 5.43/4.03 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 5.43/4.03 inference(modus_ponens,[status(thm)],[1061, 1054])).
% 5.43/4.03 tff(1063,plain,(
% 5.43/4.03 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 5.43/4.03 inference(skolemize,[status(sab)],[1062])).
% 5.43/4.03 tff(1064,plain,
% 5.43/4.03 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))),
% 5.43/4.03 inference(modus_ponens,[status(thm)],[1063, 1053])).
% 5.43/4.03 tff(1065,plain,
% 5.43/4.03 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))),
% 5.43/4.04 inference(rewrite,[status(thm)],[])).
% 5.43/4.04 tff(1066,plain,
% 5.43/4.04 (((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29))) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))),
% 5.43/4.04 inference(rewrite,[status(thm)],[])).
% 5.43/4.04 tff(1067,plain,
% 5.43/4.04 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29))))),
% 5.43/4.04 inference(monotonicity,[status(thm)],[1066])).
% 5.43/4.04 tff(1068,plain,
% 5.43/4.04 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))),
% 5.43/4.04 inference(transitivity,[status(thm)],[1067, 1065])).
% 5.43/4.04 tff(1069,plain,
% 5.43/4.04 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))),
% 5.53/4.17 inference(quant_inst,[status(thm)],[])).
% 5.53/4.17 tff(1070,plain,
% 5.53/4.17 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv16_6r1r1r1r1r1r1(U, V, W, X, Y, Z)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv16_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29))),
% 5.53/4.17 inference(modus_ponens,[status(thm)],[1069, 1068])).
% 5.53/4.17 tff(1071,plain,
% 5.53/4.17 ($false),
% 5.53/4.17 inference(unit_resolution,[status(thm)],[1070, 1064, 14, 34, 51, 71, 1051, 91, 1034])).
% 5.53/4.17 % SZS output end Proof
%------------------------------------------------------------------------------