TSTP Solution File: SYN890-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN890-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n016.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 23:57:44 EDT 2022
% Result : Unsatisfiable 1.57s 1.30s
% Output : Proof 1.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN890-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Sep 5 09:26:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 1.57/1.30 % SZS status Unsatisfiable
% 1.57/1.30 % SZS output start Proof
% 1.57/1.30 tff(ssPv13_8r1r1r1r1r1r1r1r1_type, type, (
% 1.57/1.30 ssPv13_8r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 1.57/1.30 tff(skc25_type, type, (
% 1.57/1.30 skc25: $i)).
% 1.57/1.30 tff(skc27_type, type, (
% 1.57/1.30 skc27: $i)).
% 1.57/1.30 tff(skc28_type, type, (
% 1.57/1.30 skc28: $i)).
% 1.57/1.30 tff(skc30_type, type, (
% 1.57/1.30 skc30: $i)).
% 1.57/1.30 tff(elem_0_type, type, (
% 1.57/1.30 elem_0: $i)).
% 1.57/1.30 tff(ssPv12_9r1r1r1r1r1r1r1r1r1_type, type, (
% 1.57/1.30 ssPv12_9r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 1.57/1.30 tff(skc24_type, type, (
% 1.57/1.30 skc24: $i)).
% 1.57/1.30 tff(ssPv19_2r1r1_type, type, (
% 1.57/1.30 ssPv19_2r1r1: ( $i * $i ) > $o)).
% 1.57/1.30 tff(ssPv20_1r1_type, type, (
% 1.57/1.30 ssPv20_1r1: $i > $o)).
% 1.57/1.30 tff(skc31_type, type, (
% 1.57/1.30 skc31: $i)).
% 1.57/1.30 tff(ssNder1_6r1r1r1r1r1r1_type, type, (
% 1.57/1.30 ssNder1_6r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i ) > $o)).
% 1.57/1.30 tff(ssNder1_5r1r1r1r1r1_type, type, (
% 1.57/1.30 ssNder1_5r1r1r1r1r1: ( $i * $i * $i * $i * $i ) > $o)).
% 1.57/1.30 tff(ssNder1_4r1r1r1r1_type, type, (
% 1.57/1.30 ssNder1_4r1r1r1r1: ( $i * $i * $i * $i ) > $o)).
% 1.57/1.30 tff(ssNder1_3r1r1r1_type, type, (
% 1.57/1.30 ssNder1_3r1r1r1: ( $i * $i * $i ) > $o)).
% 1.57/1.30 tff(ssNder1_2r1r1_type, type, (
% 1.57/1.30 ssNder1_2r1r1: ( $i * $i ) > $o)).
% 1.57/1.30 tff(ssNder1_1r1_type, type, (
% 1.57/1.30 ssNder1_1r1: $i > $o)).
% 1.57/1.30 tff(ssNder1_0_type, type, (
% 1.57/1.30 ssNder1_0: $o)).
% 1.57/1.30 tff(ssNder1_7r1r1r1r1r1r1r1_type, type, (
% 1.57/1.30 ssNder1_7r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 1.57/1.30 tff(ssPv16_5r1r1r1r1r1_type, type, (
% 1.57/1.30 ssPv16_5r1r1r1r1r1: ( $i * $i * $i * $i * $i ) > $o)).
% 1.57/1.30 tff(ssPv10_11r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 1.57/1.30 ssPv10_11r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 1.57/1.30 tff(skc29_type, type, (
% 1.57/1.30 skc29: $i)).
% 1.57/1.30 tff(ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 1.57/1.30 ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 1.57/1.30 tff(skc19_type, type, (
% 1.57/1.30 skc19: $i)).
% 1.57/1.30 tff(skc21_type, type, (
% 1.57/1.30 skc21: $i)).
% 1.57/1.30 tff(skc23_type, type, (
% 1.57/1.30 skc23: $i)).
% 1.57/1.30 tff(ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 1.57/1.30 ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 1.57/1.30 tff(ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 1.57/1.30 ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 1.57/1.30 tff(ssNder1_11r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 1.57/1.30 ssNder1_11r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 1.57/1.30 tff(ssNder1_10r1r1r1r1r1r1r1r1r1r1_type, type, (
% 1.57/1.30 ssNder1_10r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 1.57/1.30 tff(ssNder1_9r1r1r1r1r1r1r1r1r1_type, type, (
% 1.57/1.30 ssNder1_9r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 1.57/1.30 tff(ssNder1_8r1r1r1r1r1r1r1r1_type, type, (
% 1.57/1.30 ssNder1_8r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 1.57/1.30 tff(ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 1.57/1.30 ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 1.57/1.30 tff(ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 1.57/1.30 ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 1.57/1.30 tff(skc20_type, type, (
% 1.57/1.30 skc20: $i)).
% 1.57/1.30 tff(skc22_type, type, (
% 1.57/1.30 skc22: $i)).
% 1.57/1.30 tff(ssPv14_7r1r1r1r1r1r1r1_type, type, (
% 1.57/1.30 ssPv14_7r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 1.57/1.30 tff(skc18_type, type, (
% 1.57/1.30 skc18: $i)).
% 1.57/1.30 tff(1,assumption,(~ssPv19_2r1r1(elem!0, elem!0)), introduced(assumption)).
% 1.57/1.30 tff(2,plain,
% 1.57/1.30 (^[U: $i] : refl(ssNder1_1r1(U) <=> ssNder1_1r1(U))),
% 1.57/1.30 inference(bind,[status(th)],[])).
% 1.57/1.30 tff(3,plain,
% 1.57/1.30 (![U: $i] : ssNder1_1r1(U) <=> ![U: $i] : ssNder1_1r1(U)),
% 1.57/1.30 inference(quant_intro,[status(thm)],[2])).
% 1.57/1.30 tff(4,plain,
% 1.57/1.30 (![U: $i] : ssNder1_1r1(U) <=> ![U: $i] : ssNder1_1r1(U)),
% 1.57/1.30 inference(rewrite,[status(thm)],[])).
% 1.57/1.30 tff(5,plain,
% 1.57/1.30 (^[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)))),
% 1.57/1.30 inference(bind,[status(th)],[])).
% 1.57/1.30 tff(6,plain,
% 1.57/1.30 (![U: $i] : ((~ssNder1_0) | ssNder1_1r1(U)) <=> ![U: $i] : ssNder1_1r1(U)),
% 1.57/1.30 inference(quant_intro,[status(thm)],[5])).
% 1.57/1.30 tff(7,axiom,(![U: $i] : ((~ssNder1_0) | ssNder1_1r1(U))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause2')).
% 1.57/1.30 tff(8,plain,
% 1.57/1.30 (![U: $i] : ssNder1_1r1(U)),
% 1.57/1.30 inference(modus_ponens,[status(thm)],[7, 6])).
% 1.57/1.30 tff(9,plain,
% 1.57/1.30 (![U: $i] : ssNder1_1r1(U)),
% 1.57/1.30 inference(modus_ponens,[status(thm)],[8, 4])).
% 1.57/1.30 tff(10,plain,(
% 1.57/1.30 ![U: $i] : ssNder1_1r1(U)),
% 1.57/1.30 inference(skolemize,[status(sab)],[9])).
% 1.57/1.30 tff(11,plain,
% 1.57/1.30 (![U: $i] : ssNder1_1r1(U)),
% 1.57/1.30 inference(modus_ponens,[status(thm)],[10, 3])).
% 1.57/1.30 tff(12,plain,
% 1.57/1.30 ((~![U: $i] : ssNder1_1r1(U)) | ssNder1_1r1(elem!0)),
% 1.57/1.30 inference(quant_inst,[status(thm)],[])).
% 1.57/1.30 tff(13,plain,
% 1.57/1.30 (ssNder1_1r1(elem!0)),
% 1.57/1.30 inference(unit_resolution,[status(thm)],[12, 11])).
% 1.57/1.30 tff(14,plain,
% 1.57/1.30 (^[V: $i, U: $i] : refl((ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U))) <=> (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U))))),
% 1.57/1.30 inference(bind,[status(th)],[])).
% 1.57/1.30 tff(15,plain,
% 1.57/1.30 (![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U))) <=> ![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))),
% 1.57/1.30 inference(quant_intro,[status(thm)],[14])).
% 1.57/1.30 tff(16,plain,
% 1.57/1.30 (![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U))) <=> ![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))),
% 1.57/1.30 inference(rewrite,[status(thm)],[])).
% 1.57/1.30 tff(17,plain,
% 1.57/1.30 (^[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)))))),
% 1.57/1.30 inference(bind,[status(th)],[])).
% 1.57/1.30 tff(18,plain,
% 1.57/1.30 (![V: $i, U: $i] : ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U))) <=> ![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))),
% 1.57/1.30 inference(quant_intro,[status(thm)],[17])).
% 1.57/1.30 tff(19,plain,
% 1.57/1.30 (^[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)))))),
% 1.57/1.30 inference(bind,[status(th)],[])).
% 1.57/1.30 tff(20,plain,
% 1.57/1.30 (![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)))),
% 1.57/1.30 inference(quant_intro,[status(thm)],[19])).
% 1.57/1.30 tff(21,axiom,(![V: $i, U: $i] : (((~ssNder1_1r1(U)) | (~ssNder1_0)) | ssNder1_2r1r1(U, V))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause3')).
% 1.57/1.30 tff(22,plain,
% 1.57/1.30 (![V: $i, U: $i] : ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))),
% 1.57/1.30 inference(modus_ponens,[status(thm)],[21, 20])).
% 1.57/1.30 tff(23,plain,
% 1.57/1.30 (![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))),
% 1.57/1.30 inference(modus_ponens,[status(thm)],[22, 18])).
% 1.57/1.30 tff(24,plain,
% 1.57/1.30 (![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))),
% 1.57/1.30 inference(modus_ponens,[status(thm)],[23, 16])).
% 1.57/1.30 tff(25,plain,(
% 1.57/1.30 ![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))),
% 1.57/1.30 inference(skolemize,[status(sab)],[24])).
% 1.57/1.30 tff(26,plain,
% 1.57/1.30 (![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))),
% 1.57/1.30 inference(modus_ponens,[status(thm)],[25, 15])).
% 1.57/1.30 tff(27,plain,
% 1.57/1.30 (((~![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_2r1r1(elem!0, elem!0) | (~ssNder1_1r1(elem!0)))),
% 1.57/1.30 inference(rewrite,[status(thm)],[])).
% 1.57/1.30 tff(28,plain,
% 1.57/1.30 ((~![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))) | (ssNder1_2r1r1(elem!0, elem!0) | (~ssNder1_1r1(elem!0)))),
% 1.57/1.30 inference(quant_inst,[status(thm)],[])).
% 1.57/1.30 tff(29,plain,
% 1.57/1.30 ((~![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))) | ssNder1_2r1r1(elem!0, elem!0) | (~ssNder1_1r1(elem!0))),
% 1.57/1.30 inference(modus_ponens,[status(thm)],[28, 27])).
% 1.57/1.30 tff(30,plain,
% 1.57/1.30 (ssNder1_2r1r1(elem!0, elem!0)),
% 1.57/1.30 inference(unit_resolution,[status(thm)],[29, 26, 13])).
% 1.57/1.30 tff(31,plain,
% 1.57/1.30 (^[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))))),
% 1.57/1.30 inference(bind,[status(th)],[])).
% 1.57/1.30 tff(32,plain,
% 1.57/1.30 (![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)))),
% 1.57/1.30 inference(quant_intro,[status(thm)],[31])).
% 1.57/1.30 tff(33,plain,
% 1.57/1.30 (![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)))),
% 1.57/1.30 inference(rewrite,[status(thm)],[])).
% 1.57/1.30 tff(34,plain,
% 1.57/1.30 (^[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)))))),
% 1.57/1.30 inference(bind,[status(th)],[])).
% 1.57/1.30 tff(35,plain,
% 1.57/1.30 (![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)))),
% 1.57/1.30 inference(quant_intro,[status(thm)],[34])).
% 1.57/1.30 tff(36,plain,
% 1.57/1.30 (^[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)))))),
% 1.57/1.30 inference(bind,[status(th)],[])).
% 1.57/1.30 tff(37,plain,
% 1.57/1.30 (![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)))),
% 1.57/1.30 inference(quant_intro,[status(thm)],[36])).
% 1.57/1.30 tff(38,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','clause4')).
% 1.57/1.31 tff(39,plain,
% 1.57/1.31 (![W: $i, V: $i, U: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))),
% 1.57/1.31 inference(modus_ponens,[status(thm)],[38, 37])).
% 1.57/1.31 tff(40,plain,
% 1.57/1.31 (![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))),
% 1.57/1.31 inference(modus_ponens,[status(thm)],[39, 35])).
% 1.57/1.31 tff(41,plain,
% 1.57/1.31 (![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))),
% 1.57/1.31 inference(modus_ponens,[status(thm)],[40, 33])).
% 1.57/1.31 tff(42,plain,(
% 1.57/1.31 ![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))),
% 1.57/1.31 inference(skolemize,[status(sab)],[41])).
% 1.57/1.31 tff(43,plain,
% 1.57/1.31 (![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))),
% 1.57/1.31 inference(modus_ponens,[status(thm)],[42, 32])).
% 1.57/1.31 tff(44,plain,
% 1.57/1.31 (((~![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))) | (ssNder1_3r1r1r1(elem!0, elem!0, elem!0) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))) | ssNder1_3r1r1r1(elem!0, elem!0, elem!0) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)))),
% 1.57/1.31 inference(rewrite,[status(thm)],[])).
% 1.57/1.31 tff(45,plain,
% 1.57/1.31 (((~ssNder1_1r1(elem!0)) | ssNder1_3r1r1r1(elem!0, elem!0, elem!0) | (~ssNder1_2r1r1(elem!0, elem!0))) <=> (ssNder1_3r1r1r1(elem!0, elem!0, elem!0) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)))),
% 1.57/1.31 inference(rewrite,[status(thm)],[])).
% 1.57/1.31 tff(46,plain,
% 1.57/1.31 (((~![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_3r1r1r1(elem!0, elem!0, elem!0) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0))))),
% 1.57/1.31 inference(monotonicity,[status(thm)],[45])).
% 1.57/1.31 tff(47,plain,
% 1.57/1.31 (((~![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_3r1r1r1(elem!0, elem!0, elem!0) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)))),
% 1.57/1.31 inference(transitivity,[status(thm)],[46, 44])).
% 1.57/1.31 tff(48,plain,
% 1.57/1.31 ((~![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)))),
% 1.57/1.31 inference(quant_inst,[status(thm)],[])).
% 1.57/1.31 tff(49,plain,
% 1.57/1.31 ((~![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))) | ssNder1_3r1r1r1(elem!0, elem!0, elem!0) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0))),
% 1.57/1.31 inference(modus_ponens,[status(thm)],[48, 47])).
% 1.57/1.31 tff(50,plain,
% 1.57/1.31 (ssNder1_3r1r1r1(elem!0, elem!0, elem!0)),
% 1.57/1.31 inference(unit_resolution,[status(thm)],[49, 43, 13, 30])).
% 1.57/1.31 tff(51,plain,
% 1.57/1.31 (^[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))))),
% 1.57/1.31 inference(bind,[status(th)],[])).
% 1.57/1.31 tff(52,plain,
% 1.57/1.31 (![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)))),
% 1.57/1.31 inference(quant_intro,[status(thm)],[51])).
% 1.57/1.31 tff(53,plain,
% 1.57/1.31 (![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)))),
% 1.57/1.31 inference(rewrite,[status(thm)],[])).
% 1.57/1.31 tff(54,plain,
% 1.57/1.31 (^[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)))))),
% 1.57/1.31 inference(bind,[status(th)],[])).
% 1.57/1.31 tff(55,plain,
% 1.57/1.31 (![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)))),
% 1.57/1.31 inference(quant_intro,[status(thm)],[54])).
% 1.57/1.31 tff(56,plain,
% 1.57/1.31 (^[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)))))),
% 1.57/1.31 inference(bind,[status(th)],[])).
% 1.57/1.31 tff(57,plain,
% 1.57/1.31 (![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)))),
% 1.57/1.31 inference(quant_intro,[status(thm)],[56])).
% 1.57/1.31 tff(58,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','clause5')).
% 1.57/1.31 tff(59,plain,
% 1.57/1.31 (![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)))),
% 1.57/1.31 inference(modus_ponens,[status(thm)],[58, 57])).
% 1.57/1.31 tff(60,plain,
% 1.57/1.31 (![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)))),
% 1.57/1.31 inference(modus_ponens,[status(thm)],[59, 55])).
% 1.57/1.31 tff(61,plain,
% 1.57/1.31 (![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)))),
% 1.57/1.31 inference(modus_ponens,[status(thm)],[60, 53])).
% 1.57/1.31 tff(62,plain,(
% 1.57/1.31 ![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)))),
% 1.57/1.31 inference(skolemize,[status(sab)],[61])).
% 1.57/1.31 tff(63,plain,
% 1.57/1.31 (![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)))),
% 1.57/1.31 inference(modus_ponens,[status(thm)],[62, 52])).
% 1.57/1.31 tff(64,plain,
% 1.57/1.31 (((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(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_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)))),
% 1.57/1.31 inference(rewrite,[status(thm)],[])).
% 1.57/1.31 tff(65,plain,
% 1.57/1.31 ((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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)))),
% 1.57/1.31 inference(rewrite,[status(thm)],[])).
% 1.57/1.31 tff(66,plain,
% 1.57/1.31 (((~![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_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0))))),
% 1.57/1.31 inference(monotonicity,[status(thm)],[65])).
% 1.57/1.31 tff(67,plain,
% 1.57/1.31 (((~![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_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)))),
% 1.57/1.31 inference(transitivity,[status(thm)],[66, 64])).
% 1.57/1.31 tff(68,plain,
% 1.57/1.31 ((~![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)))),
% 1.57/1.31 inference(quant_inst,[status(thm)],[])).
% 1.57/1.31 tff(69,plain,
% 1.57/1.31 ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0))),
% 1.57/1.31 inference(modus_ponens,[status(thm)],[68, 67])).
% 1.57/1.31 tff(70,plain,
% 1.57/1.31 (ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)),
% 1.57/1.31 inference(unit_resolution,[status(thm)],[69, 63, 13, 30, 50])).
% 1.57/1.31 tff(71,plain,
% 1.57/1.31 (^[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))))),
% 1.57/1.31 inference(bind,[status(th)],[])).
% 1.57/1.31 tff(72,plain,
% 1.57/1.31 (![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)))),
% 1.57/1.31 inference(quant_intro,[status(thm)],[71])).
% 1.57/1.31 tff(73,plain,
% 1.57/1.31 (![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)))),
% 1.57/1.31 inference(rewrite,[status(thm)],[])).
% 1.57/1.31 tff(74,plain,
% 1.57/1.31 (^[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)))))),
% 1.57/1.31 inference(bind,[status(th)],[])).
% 1.57/1.31 tff(75,plain,
% 1.57/1.31 (![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)))),
% 1.57/1.31 inference(quant_intro,[status(thm)],[74])).
% 1.57/1.31 tff(76,plain,
% 1.57/1.31 (^[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)))))),
% 1.57/1.31 inference(bind,[status(th)],[])).
% 1.57/1.31 tff(77,plain,
% 1.57/1.31 (![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)))),
% 1.57/1.31 inference(quant_intro,[status(thm)],[76])).
% 1.57/1.31 tff(78,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','clause8')).
% 1.57/1.31 tff(79,plain,
% 1.57/1.31 (![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)))),
% 1.57/1.31 inference(modus_ponens,[status(thm)],[78, 77])).
% 1.57/1.31 tff(80,plain,
% 1.57/1.31 (![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)))),
% 1.57/1.31 inference(modus_ponens,[status(thm)],[79, 75])).
% 1.57/1.31 tff(81,plain,
% 1.57/1.31 (![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)))),
% 1.57/1.31 inference(modus_ponens,[status(thm)],[80, 73])).
% 1.57/1.31 tff(82,plain,(
% 1.57/1.31 ![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)))),
% 1.57/1.31 inference(skolemize,[status(sab)],[81])).
% 1.57/1.31 tff(83,plain,
% 1.57/1.31 (![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)))),
% 1.57/1.31 inference(modus_ponens,[status(thm)],[82, 72])).
% 1.57/1.31 tff(84,plain,
% 1.57/1.31 (((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))),
% 1.57/1.31 inference(rewrite,[status(thm)],[])).
% 1.57/1.31 tff(85,plain,
% 1.57/1.31 (((~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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))),
% 1.57/1.31 inference(rewrite,[status(thm)],[])).
% 1.57/1.31 tff(86,plain,
% 1.57/1.31 (((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))),
% 1.57/1.31 inference(monotonicity,[status(thm)],[85])).
% 1.57/1.31 tff(87,plain,
% 1.57/1.31 (((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))),
% 1.57/1.31 inference(transitivity,[status(thm)],[86, 84])).
% 1.57/1.31 tff(88,plain,
% 1.57/1.31 ((~![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)))),
% 1.57/1.31 inference(quant_inst,[status(thm)],[])).
% 1.57/1.31 tff(89,plain,
% 1.57/1.31 ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)),
% 1.57/1.31 inference(modus_ponens,[status(thm)],[88, 87])).
% 1.57/1.31 tff(90,plain,
% 1.57/1.31 (ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)),
% 1.57/1.31 inference(unit_resolution,[status(thm)],[89, 83, 13, 30, 50, 70])).
% 1.57/1.31 tff(91,plain,
% 1.57/1.31 (^[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))))),
% 1.57/1.31 inference(bind,[status(th)],[])).
% 1.57/1.31 tff(92,plain,
% 1.57/1.31 (![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)))),
% 1.57/1.31 inference(quant_intro,[status(thm)],[91])).
% 1.57/1.31 tff(93,plain,
% 1.57/1.31 (![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)))),
% 1.57/1.31 inference(rewrite,[status(thm)],[])).
% 1.57/1.31 tff(94,plain,
% 1.57/1.31 (^[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)))))),
% 1.57/1.31 inference(bind,[status(th)],[])).
% 1.57/1.31 tff(95,plain,
% 1.57/1.31 (![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)))),
% 1.57/1.31 inference(quant_intro,[status(thm)],[94])).
% 1.57/1.31 tff(96,plain,
% 1.57/1.31 (^[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)))))),
% 1.57/1.32 inference(bind,[status(th)],[])).
% 1.57/1.32 tff(97,plain,
% 1.57/1.32 (![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)))),
% 1.57/1.32 inference(quant_intro,[status(thm)],[96])).
% 1.57/1.32 tff(98,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','clause11')).
% 1.57/1.32 tff(99,plain,
% 1.57/1.32 (![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)))),
% 1.57/1.32 inference(modus_ponens,[status(thm)],[98, 97])).
% 1.57/1.32 tff(100,plain,
% 1.57/1.32 (![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)))),
% 1.57/1.32 inference(modus_ponens,[status(thm)],[99, 95])).
% 1.57/1.32 tff(101,plain,
% 1.57/1.32 (![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)))),
% 1.57/1.32 inference(modus_ponens,[status(thm)],[100, 93])).
% 1.57/1.32 tff(102,plain,(
% 1.57/1.32 ![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)))),
% 1.57/1.32 inference(skolemize,[status(sab)],[101])).
% 1.57/1.32 tff(103,plain,
% 1.57/1.32 (![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)))),
% 1.57/1.32 inference(modus_ponens,[status(thm)],[102, 92])).
% 1.57/1.32 tff(104,plain,
% 1.57/1.32 (((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))),
% 1.57/1.32 inference(rewrite,[status(thm)],[])).
% 1.57/1.32 tff(105,plain,
% 1.57/1.32 (((~ssNder1_1r1(elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))) <=> ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))),
% 1.57/1.32 inference(rewrite,[status(thm)],[])).
% 1.57/1.32 tff(106,plain,
% 1.57/1.32 (((~![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, skc28) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))))),
% 1.57/1.32 inference(monotonicity,[status(thm)],[105])).
% 1.57/1.32 tff(107,plain,
% 1.57/1.32 (((~![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, skc28) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))),
% 1.57/1.32 inference(transitivity,[status(thm)],[106, 104])).
% 1.57/1.32 tff(108,plain,
% 1.57/1.32 ((~![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, skc28) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))),
% 1.57/1.32 inference(quant_inst,[status(thm)],[])).
% 1.57/1.32 tff(109,plain,
% 1.57/1.32 ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))),
% 1.57/1.32 inference(modus_ponens,[status(thm)],[108, 107])).
% 1.57/1.32 tff(110,plain,
% 1.57/1.32 (ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)),
% 1.57/1.32 inference(unit_resolution,[status(thm)],[109, 103, 13, 30, 50, 70, 90])).
% 1.57/1.32 tff(111,plain,
% 1.57/1.32 (^[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, skc24)) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(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, skc24)))),
% 1.57/1.32 inference(bind,[status(th)],[])).
% 1.57/1.32 tff(112,plain,
% 1.57/1.32 (![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, skc24)) <=> ![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, skc24))),
% 1.57/1.32 inference(quant_intro,[status(thm)],[111])).
% 1.57/1.32 tff(113,plain,
% 1.57/1.32 (![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, skc24)) <=> ![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, skc24))),
% 1.57/1.32 inference(rewrite,[status(thm)],[])).
% 1.57/1.32 tff(114,plain,
% 1.57/1.32 (^[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) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc24)) <=> ($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, skc24)))), 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, skc24)) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(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, skc24))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(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, skc24)) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(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, skc24))))),
% 1.57/1.32 inference(bind,[status(th)],[])).
% 1.57/1.32 tff(115,plain,
% 1.57/1.32 (![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, skc24)) <=> ![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, skc24))),
% 1.57/1.32 inference(quant_intro,[status(thm)],[114])).
% 1.57/1.32 tff(116,plain,
% 1.57/1.32 (^[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)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc24)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(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, skc24)))), 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))) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc24)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(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, skc24))), (((((((((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_5r1r1r1r1r1(U, 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, skc24)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(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, skc24))))),
% 1.57/1.32 inference(bind,[status(th)],[])).
% 1.57/1.32 tff(117,plain,
% 1.57/1.32 (![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)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc24)) <=> ![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, skc24))),
% 1.57/1.32 inference(quant_intro,[status(thm)],[116])).
% 1.57/1.32 tff(118,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)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc24))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause15')).
% 1.57/1.32 tff(119,plain,
% 1.57/1.32 (![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, skc24))),
% 1.57/1.32 inference(modus_ponens,[status(thm)],[118, 117])).
% 1.57/1.32 tff(120,plain,
% 1.57/1.32 (![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, skc24))),
% 1.57/1.32 inference(modus_ponens,[status(thm)],[119, 115])).
% 1.57/1.32 tff(121,plain,
% 1.57/1.32 (![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, skc24))),
% 1.57/1.32 inference(modus_ponens,[status(thm)],[120, 113])).
% 1.57/1.32 tff(122,plain,(
% 1.57/1.32 ![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, skc24))),
% 1.57/1.32 inference(skolemize,[status(sab)],[121])).
% 1.57/1.32 tff(123,plain,
% 1.57/1.32 (![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, skc24))),
% 1.57/1.32 inference(modus_ponens,[status(thm)],[122, 112])).
% 1.57/1.32 tff(124,plain,
% 1.57/1.32 (((~![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, 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, skc28)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24))) <=> ((~![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, 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, skc28)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24))),
% 1.57/1.32 inference(rewrite,[status(thm)],[])).
% 1.57/1.32 tff(125,plain,
% 1.57/1.32 ((~![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, 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, skc28)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24))),
% 1.57/1.32 inference(quant_inst,[status(thm)],[])).
% 1.57/1.32 tff(126,plain,
% 1.57/1.32 ((~![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, 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, skc28)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)),
% 1.57/1.32 inference(modus_ponens,[status(thm)],[125, 124])).
% 1.57/1.32 tff(127,plain,
% 1.57/1.32 (ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)),
% 1.57/1.32 inference(unit_resolution,[status(thm)],[126, 123, 13, 30, 50, 70, 90, 110])).
% 1.57/1.32 tff(128,plain,
% 1.57/1.32 (^[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))))),
% 1.57/1.32 inference(bind,[status(th)],[])).
% 1.57/1.32 tff(129,plain,
% 1.57/1.32 (![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)))),
% 1.57/1.32 inference(quant_intro,[status(thm)],[128])).
% 1.57/1.32 tff(130,plain,
% 1.57/1.32 (![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)))),
% 1.57/1.32 inference(rewrite,[status(thm)],[])).
% 1.57/1.32 tff(131,plain,
% 1.57/1.32 (^[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)))))),
% 1.57/1.32 inference(bind,[status(th)],[])).
% 1.57/1.32 tff(132,plain,
% 1.57/1.32 (![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)))),
% 1.57/1.32 inference(quant_intro,[status(thm)],[131])).
% 1.57/1.32 tff(133,plain,
% 1.57/1.32 (^[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)))))),
% 1.57/1.32 inference(bind,[status(th)],[])).
% 1.57/1.32 tff(134,plain,
% 1.57/1.32 (![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)))),
% 1.57/1.32 inference(quant_intro,[status(thm)],[133])).
% 1.57/1.32 tff(135,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','clause14')).
% 1.57/1.32 tff(136,plain,
% 1.57/1.32 (![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)))),
% 1.57/1.33 inference(modus_ponens,[status(thm)],[135, 134])).
% 1.57/1.33 tff(137,plain,
% 1.57/1.33 (![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)))),
% 1.57/1.33 inference(modus_ponens,[status(thm)],[136, 132])).
% 1.57/1.33 tff(138,plain,
% 1.57/1.33 (![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)))),
% 1.57/1.33 inference(modus_ponens,[status(thm)],[137, 130])).
% 1.57/1.33 tff(139,plain,(
% 1.57/1.33 ![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)))),
% 1.57/1.33 inference(skolemize,[status(sab)],[138])).
% 1.57/1.33 tff(140,plain,
% 1.57/1.33 (![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)))),
% 1.57/1.33 inference(modus_ponens,[status(thm)],[139, 129])).
% 1.57/1.33 tff(141,plain,
% 1.57/1.33 (((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27))),
% 1.57/1.33 inference(rewrite,[status(thm)],[])).
% 1.57/1.33 tff(142,plain,
% 1.57/1.33 ((ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, 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, skc28))) <=> ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27))),
% 1.57/1.33 inference(rewrite,[status(thm)],[])).
% 1.57/1.33 tff(143,plain,
% 1.57/1.33 (((~![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, skc28, 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, skc28)))) <=> ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)))),
% 1.57/1.33 inference(monotonicity,[status(thm)],[142])).
% 1.57/1.33 tff(144,plain,
% 1.57/1.33 (((~![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, skc28, 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, skc28)))) <=> ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27))),
% 1.57/1.33 inference(transitivity,[status(thm)],[143, 141])).
% 1.57/1.33 tff(145,plain,
% 1.57/1.33 ((~![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, skc28, 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, skc28)))),
% 1.57/1.33 inference(quant_inst,[status(thm)],[])).
% 1.57/1.33 tff(146,plain,
% 1.57/1.33 ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)),
% 1.57/1.33 inference(modus_ponens,[status(thm)],[145, 144])).
% 1.57/1.33 tff(147,plain,
% 1.57/1.33 (ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)),
% 1.57/1.33 inference(unit_resolution,[status(thm)],[146, 140, 13, 30, 50, 70, 90, 110])).
% 1.57/1.33 tff(148,plain,
% 1.57/1.33 (^[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))))),
% 1.57/1.33 inference(bind,[status(th)],[])).
% 1.57/1.33 tff(149,plain,
% 1.57/1.33 (![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)))),
% 1.57/1.33 inference(quant_intro,[status(thm)],[148])).
% 1.57/1.33 tff(150,plain,
% 1.57/1.33 (![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)))),
% 1.57/1.33 inference(rewrite,[status(thm)],[])).
% 1.57/1.33 tff(151,plain,
% 1.57/1.33 (^[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)))))),
% 1.57/1.33 inference(bind,[status(th)],[])).
% 1.57/1.33 tff(152,plain,
% 1.57/1.33 (![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)))),
% 1.57/1.33 inference(quant_intro,[status(thm)],[151])).
% 1.57/1.33 tff(153,plain,
% 1.57/1.33 (^[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)))))),
% 1.57/1.33 inference(bind,[status(th)],[])).
% 1.57/1.33 tff(154,plain,
% 1.57/1.33 (![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)))),
% 1.57/1.33 inference(quant_intro,[status(thm)],[153])).
% 1.57/1.33 tff(155,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','clause7')).
% 1.57/1.33 tff(156,plain,
% 1.57/1.33 (![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)))),
% 1.57/1.33 inference(modus_ponens,[status(thm)],[155, 154])).
% 1.57/1.33 tff(157,plain,
% 1.57/1.33 (![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)))),
% 1.57/1.33 inference(modus_ponens,[status(thm)],[156, 152])).
% 1.57/1.33 tff(158,plain,
% 1.57/1.33 (![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)))),
% 1.57/1.33 inference(modus_ponens,[status(thm)],[157, 150])).
% 1.57/1.33 tff(159,plain,(
% 1.57/1.33 ![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)))),
% 1.57/1.33 inference(skolemize,[status(sab)],[158])).
% 1.57/1.33 tff(160,plain,
% 1.57/1.33 (![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)))),
% 1.57/1.33 inference(modus_ponens,[status(thm)],[159, 149])).
% 1.57/1.33 tff(161,plain,
% 1.57/1.33 (((~![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)))),
% 1.57/1.33 inference(rewrite,[status(thm)],[])).
% 1.57/1.33 tff(162,plain,
% 1.57/1.33 ((~![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)))),
% 1.57/1.33 inference(quant_inst,[status(thm)],[])).
% 1.57/1.33 tff(163,plain,
% 1.57/1.33 ((~![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))),
% 1.57/1.33 inference(modus_ponens,[status(thm)],[162, 161])).
% 1.57/1.33 tff(164,plain,
% 1.57/1.33 (~ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)),
% 1.57/1.33 inference(unit_resolution,[status(thm)],[163, 160, 13, 30, 50])).
% 1.57/1.33 tff(165,plain,
% 1.57/1.33 (^[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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))),
% 1.57/1.33 inference(bind,[status(th)],[])).
% 1.57/1.33 tff(166,plain,
% 1.57/1.33 (![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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 1.57/1.33 inference(quant_intro,[status(thm)],[165])).
% 1.57/1.33 tff(167,plain,
% 1.57/1.33 (![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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 1.57/1.33 inference(rewrite,[status(thm)],[])).
% 1.57/1.33 tff(168,plain,
% 1.57/1.33 (^[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) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ($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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))))),
% 1.57/1.33 inference(bind,[status(th)],[])).
% 1.57/1.33 tff(169,plain,
% 1.57/1.33 (![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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 1.57/1.33 inference(quant_intro,[status(thm)],[168])).
% 1.57/1.33 tff(170,plain,
% 1.57/1.33 (^[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(trans(monotonicity(trans(monotonicity(rewrite((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv13_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)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv13_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)) | (~ssPv13_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)) | (~ssPv13_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)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv13_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)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv13_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)) | (~ssPv13_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)) | (~ssPv13_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)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv13_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)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv13_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)) | (~ssPv13_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)) | (~ssPv13_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)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv13_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)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv13_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)) | (~ssPv13_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)) | (~ssPv13_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)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv13_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)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv13_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)) | (~ssPv13_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)) | (~ssPv13_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)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv13_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)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv13_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)) | (~ssPv13_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)) | (~ssPv13_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)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv13_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)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv13_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_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)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | 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)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | 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)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv13_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_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)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv13_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_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_2r1r1(U, V)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~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_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssPv19_2r1r1(U, V)))), 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_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssPv19_2r1r1(U, V)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv13_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_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_2r1r1(U, V)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv13_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_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_2r1r1(U, V)) | ssPv20_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)) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssPv20_1r1(U)))), 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)) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssPv20_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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((((((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv13_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_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_2r1r1(U, V)) | ssPv20_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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))))),
% 1.57/1.34 inference(bind,[status(th)],[])).
% 1.57/1.34 tff(171,plain,
% 1.57/1.34 (![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)) | (~ssPv13_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_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_2r1r1(U, V)) | ssPv20_1r1(U)) <=> ![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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 1.57/1.34 inference(quant_intro,[status(thm)],[170])).
% 1.57/1.34 tff(172,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)) | (~ssPv13_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_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_2r1r1(U, V)) | ssPv20_1r1(U))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause20')).
% 1.57/1.34 tff(173,plain,
% 1.57/1.34 (![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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 1.57/1.34 inference(modus_ponens,[status(thm)],[172, 171])).
% 1.57/1.34 tff(174,plain,
% 1.57/1.34 (![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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 1.57/1.34 inference(modus_ponens,[status(thm)],[173, 169])).
% 1.57/1.34 tff(175,plain,
% 1.57/1.34 (![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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 1.57/1.34 inference(modus_ponens,[status(thm)],[174, 167])).
% 1.57/1.34 tff(176,plain,(
% 1.57/1.34 ![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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 1.57/1.34 inference(skolemize,[status(sab)],[175])).
% 1.57/1.34 tff(177,plain,
% 1.57/1.34 (![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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 1.57/1.34 inference(modus_ponens,[status(thm)],[176, 166])).
% 1.57/1.34 tff(178,plain,
% 1.57/1.34 (((~![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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | ssPv19_2r1r1(elem!0, elem!0) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | ssPv20_1r1(elem!0) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)))) <=> ((~![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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | ssPv19_2r1r1(elem!0, elem!0) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | ssPv20_1r1(elem!0) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)))),
% 1.57/1.34 inference(rewrite,[status(thm)],[])).
% 1.57/1.34 tff(179,plain,
% 1.57/1.34 (((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | ssPv20_1r1(elem!0) | ssPv19_2r1r1(elem!0, elem!0) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24))) <=> ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | ssPv19_2r1r1(elem!0, elem!0) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | ssPv20_1r1(elem!0) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)))),
% 1.57/1.34 inference(rewrite,[status(thm)],[])).
% 1.57/1.34 tff(180,plain,
% 1.57/1.34 (((~![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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_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, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | ssPv20_1r1(elem!0) | ssPv19_2r1r1(elem!0, elem!0) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)))) <=> ((~![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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | ssPv19_2r1r1(elem!0, elem!0) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | ssPv20_1r1(elem!0) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27))))),
% 1.57/1.34 inference(monotonicity,[status(thm)],[179])).
% 1.57/1.34 tff(181,plain,
% 1.57/1.34 (((~![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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_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, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | ssPv20_1r1(elem!0) | ssPv19_2r1r1(elem!0, elem!0) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)))) <=> ((~![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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | ssPv19_2r1r1(elem!0, elem!0) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | ssPv20_1r1(elem!0) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)))),
% 1.57/1.34 inference(transitivity,[status(thm)],[180, 178])).
% 1.57/1.34 tff(182,plain,
% 1.57/1.34 ((~![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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_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, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | ssPv20_1r1(elem!0) | ssPv19_2r1r1(elem!0, elem!0) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)))),
% 1.57/1.34 inference(quant_inst,[status(thm)],[])).
% 1.57/1.34 tff(183,plain,
% 1.57/1.34 ((~![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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | ssPv19_2r1r1(elem!0, elem!0) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | ssPv20_1r1(elem!0) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27))),
% 1.57/1.34 inference(modus_ponens,[status(thm)],[182, 181])).
% 1.57/1.34 tff(184,plain,
% 1.57/1.34 (ssPv19_2r1r1(elem!0, elem!0) | ssPv20_1r1(elem!0)),
% 1.57/1.34 inference(unit_resolution,[status(thm)],[183, 177, 13, 30, 50, 70, 164, 90, 110, 147, 127])).
% 1.57/1.34 tff(185,plain,
% 1.57/1.34 (ssPv20_1r1(elem!0)),
% 1.57/1.34 inference(unit_resolution,[status(thm)],[184, 1])).
% 1.57/1.34 tff(186,assumption,(ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19)), introduced(assumption)).
% 1.57/1.34 tff(187,plain,
% 1.57/1.34 (((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))),
% 1.57/1.34 inference(rewrite,[status(thm)],[])).
% 1.57/1.34 tff(188,plain,
% 1.57/1.34 (((~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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))),
% 1.57/1.34 inference(rewrite,[status(thm)],[])).
% 1.57/1.34 tff(189,plain,
% 1.57/1.34 (((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))))),
% 1.57/1.34 inference(monotonicity,[status(thm)],[188])).
% 1.57/1.34 tff(190,plain,
% 1.57/1.34 (((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))),
% 1.57/1.34 inference(transitivity,[status(thm)],[189, 187])).
% 1.57/1.34 tff(191,plain,
% 1.57/1.34 ((~![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)))),
% 1.57/1.34 inference(quant_inst,[status(thm)],[])).
% 1.57/1.34 tff(192,plain,
% 1.57/1.34 ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))),
% 1.57/1.34 inference(modus_ponens,[status(thm)],[191, 190])).
% 1.57/1.34 tff(193,plain,
% 1.57/1.34 (ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)),
% 1.57/1.34 inference(unit_resolution,[status(thm)],[192, 103, 13, 30, 50, 70, 90])).
% 1.57/1.34 tff(194,plain,
% 1.57/1.34 (((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27))),
% 1.57/1.35 inference(rewrite,[status(thm)],[])).
% 1.57/1.35 tff(195,plain,
% 1.57/1.35 ((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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27))),
% 1.57/1.35 inference(rewrite,[status(thm)],[])).
% 1.57/1.35 tff(196,plain,
% 1.57/1.35 (((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)))),
% 1.57/1.35 inference(monotonicity,[status(thm)],[195])).
% 1.57/1.35 tff(197,plain,
% 1.57/1.35 (((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27))),
% 1.57/1.35 inference(transitivity,[status(thm)],[196, 194])).
% 1.57/1.35 tff(198,plain,
% 1.57/1.35 ((~![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)))),
% 1.57/1.35 inference(quant_inst,[status(thm)],[])).
% 1.57/1.35 tff(199,plain,
% 1.57/1.35 ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)),
% 1.57/1.35 inference(modus_ponens,[status(thm)],[198, 197])).
% 1.57/1.35 tff(200,plain,
% 1.57/1.35 (ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)),
% 1.57/1.35 inference(unit_resolution,[status(thm)],[199, 140, 13, 30, 50, 70, 90, 193])).
% 1.57/1.35 tff(201,plain,
% 1.57/1.35 (^[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))))),
% 1.57/1.35 inference(bind,[status(th)],[])).
% 1.57/1.35 tff(202,plain,
% 1.57/1.35 (![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)))),
% 1.57/1.35 inference(quant_intro,[status(thm)],[201])).
% 1.57/1.35 tff(203,plain,
% 1.57/1.35 (![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)))),
% 1.57/1.35 inference(rewrite,[status(thm)],[])).
% 1.57/1.35 tff(204,plain,
% 1.57/1.35 (^[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)))))),
% 1.57/1.35 inference(bind,[status(th)],[])).
% 1.57/1.35 tff(205,plain,
% 1.57/1.35 (![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)))),
% 1.66/1.35 inference(quant_intro,[status(thm)],[204])).
% 1.66/1.35 tff(206,plain,
% 1.66/1.35 (^[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)))))),
% 1.66/1.35 inference(bind,[status(th)],[])).
% 1.66/1.35 tff(207,plain,
% 1.66/1.35 (![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)))),
% 1.66/1.35 inference(quant_intro,[status(thm)],[206])).
% 1.66/1.35 tff(208,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','clause17')).
% 1.66/1.35 tff(209,plain,
% 1.66/1.35 (![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)))),
% 1.66/1.35 inference(modus_ponens,[status(thm)],[208, 207])).
% 1.66/1.35 tff(210,plain,
% 1.66/1.35 (![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)))),
% 1.66/1.35 inference(modus_ponens,[status(thm)],[209, 205])).
% 1.66/1.35 tff(211,plain,
% 1.66/1.35 (![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)))),
% 1.66/1.35 inference(modus_ponens,[status(thm)],[210, 203])).
% 1.66/1.35 tff(212,plain,(
% 1.66/1.35 ![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)))),
% 1.66/1.35 inference(skolemize,[status(sab)],[211])).
% 1.66/1.35 tff(213,plain,
% 1.66/1.35 (![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)))),
% 1.66/1.35 inference(modus_ponens,[status(thm)],[212, 202])).
% 1.66/1.35 tff(214,plain,
% 1.66/1.35 (((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24))) <=> ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24))),
% 1.66/1.35 inference(rewrite,[status(thm)],[])).
% 1.66/1.35 tff(215,plain,
% 1.66/1.35 ((ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24))),
% 1.66/1.35 inference(rewrite,[status(thm)],[])).
% 1.66/1.35 tff(216,plain,
% 1.66/1.35 (((~![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, 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)))) <=> ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)))),
% 1.66/1.36 inference(monotonicity,[status(thm)],[215])).
% 1.66/1.36 tff(217,plain,
% 1.66/1.36 (((~![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, 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)))) <=> ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24))),
% 1.66/1.36 inference(transitivity,[status(thm)],[216, 214])).
% 1.66/1.36 tff(218,plain,
% 1.66/1.36 ((~![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, 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)))),
% 1.66/1.36 inference(quant_inst,[status(thm)],[])).
% 1.66/1.36 tff(219,plain,
% 1.66/1.36 ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)),
% 1.66/1.36 inference(modus_ponens,[status(thm)],[218, 217])).
% 1.66/1.36 tff(220,plain,
% 1.66/1.36 (ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)),
% 1.66/1.36 inference(unit_resolution,[status(thm)],[219, 213, 13, 30, 50, 70, 90, 193, 200])).
% 1.66/1.36 tff(221,plain,
% 1.66/1.36 (^[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))))),
% 1.66/1.36 inference(bind,[status(th)],[])).
% 1.66/1.36 tff(222,plain,
% 1.66/1.36 (![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)))),
% 1.66/1.36 inference(quant_intro,[status(thm)],[221])).
% 1.66/1.36 tff(223,plain,
% 1.66/1.36 (![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)))),
% 1.66/1.36 inference(rewrite,[status(thm)],[])).
% 1.66/1.36 tff(224,plain,
% 1.66/1.36 (^[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)))))),
% 1.66/1.36 inference(bind,[status(th)],[])).
% 1.66/1.36 tff(225,plain,
% 1.66/1.36 (![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)))),
% 1.66/1.36 inference(quant_intro,[status(thm)],[224])).
% 1.66/1.36 tff(226,plain,
% 1.66/1.36 (^[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)))))),
% 1.66/1.36 inference(bind,[status(th)],[])).
% 1.66/1.36 tff(227,plain,
% 1.66/1.36 (![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)))),
% 1.66/1.36 inference(quant_intro,[status(thm)],[226])).
% 1.66/1.36 tff(228,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','clause19')).
% 1.66/1.36 tff(229,plain,
% 1.66/1.36 (![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)))),
% 1.66/1.36 inference(modus_ponens,[status(thm)],[228, 227])).
% 1.66/1.36 tff(230,plain,
% 1.66/1.36 (![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)))),
% 1.66/1.36 inference(modus_ponens,[status(thm)],[229, 225])).
% 1.66/1.36 tff(231,plain,
% 1.66/1.36 (![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)))),
% 1.66/1.36 inference(modus_ponens,[status(thm)],[230, 223])).
% 1.66/1.36 tff(232,plain,(
% 1.66/1.36 ![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)))),
% 1.66/1.36 inference(skolemize,[status(sab)],[231])).
% 1.66/1.36 tff(233,plain,
% 1.66/1.36 (![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)))),
% 1.66/1.36 inference(modus_ponens,[status(thm)],[232, 222])).
% 1.66/1.36 tff(234,plain,
% 1.66/1.36 (((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24))) <=> ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24))),
% 1.66/1.36 inference(rewrite,[status(thm)],[])).
% 1.66/1.36 tff(235,plain,
% 1.66/1.36 (((~ssNder1_1r1(elem!0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, 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, skc24))) <=> ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24))),
% 1.66/1.36 inference(rewrite,[status(thm)],[])).
% 1.66/1.36 tff(236,plain,
% 1.66/1.36 (((~![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, 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, skc24)))) <=> ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)))),
% 1.66/1.36 inference(monotonicity,[status(thm)],[235])).
% 1.66/1.36 tff(237,plain,
% 1.66/1.36 (((~![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, 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, skc24)))) <=> ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24))),
% 1.66/1.36 inference(transitivity,[status(thm)],[236, 234])).
% 1.66/1.36 tff(238,plain,
% 1.66/1.36 ((~![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, 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, skc24)))),
% 1.66/1.37 inference(quant_inst,[status(thm)],[])).
% 1.66/1.37 tff(239,plain,
% 1.66/1.37 ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)),
% 1.66/1.37 inference(modus_ponens,[status(thm)],[238, 237])).
% 1.66/1.37 tff(240,plain,
% 1.66/1.37 (ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)),
% 1.66/1.37 inference(unit_resolution,[status(thm)],[239, 233, 13, 30, 50, 70, 90, 193, 200, 220])).
% 1.66/1.37 tff(241,plain,
% 1.66/1.37 (^[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))))),
% 1.66/1.37 inference(bind,[status(th)],[])).
% 1.66/1.37 tff(242,plain,
% 1.66/1.37 (![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)))),
% 1.66/1.37 inference(quant_intro,[status(thm)],[241])).
% 1.66/1.37 tff(243,plain,
% 1.66/1.37 (![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)))),
% 1.66/1.37 inference(rewrite,[status(thm)],[])).
% 1.66/1.37 tff(244,plain,
% 1.66/1.37 (^[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)))))),
% 1.66/1.37 inference(bind,[status(th)],[])).
% 1.66/1.37 tff(245,plain,
% 1.66/1.37 (![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)))),
% 1.66/1.37 inference(quant_intro,[status(thm)],[244])).
% 1.66/1.37 tff(246,plain,
% 1.66/1.37 (^[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)))))),
% 1.67/1.37 inference(bind,[status(th)],[])).
% 1.67/1.37 tff(247,plain,
% 1.67/1.37 (![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)))),
% 1.67/1.37 inference(quant_intro,[status(thm)],[246])).
% 1.67/1.37 tff(248,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','clause21')).
% 1.67/1.37 tff(249,plain,
% 1.67/1.37 (![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)))),
% 1.67/1.37 inference(modus_ponens,[status(thm)],[248, 247])).
% 1.67/1.37 tff(250,plain,
% 1.67/1.37 (![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)))),
% 1.67/1.37 inference(modus_ponens,[status(thm)],[249, 245])).
% 1.67/1.37 tff(251,plain,
% 1.67/1.37 (![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)))),
% 1.67/1.37 inference(modus_ponens,[status(thm)],[250, 243])).
% 1.67/1.37 tff(252,plain,(
% 1.67/1.37 ![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)))),
% 1.67/1.37 inference(skolemize,[status(sab)],[251])).
% 1.67/1.37 tff(253,plain,
% 1.67/1.37 (![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)))),
% 1.67/1.37 inference(modus_ponens,[status(thm)],[252, 242])).
% 1.67/1.37 tff(254,plain,
% 1.67/1.37 (((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, 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_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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)))),
% 1.67/1.37 inference(rewrite,[status(thm)],[])).
% 1.67/1.37 tff(255,plain,
% 1.67/1.37 (((~ssNder1_1r1(elem!0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, 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, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24))) <=> ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)))),
% 1.67/1.37 inference(rewrite,[status(thm)],[])).
% 1.67/1.37 tff(256,plain,
% 1.67/1.37 (((~![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, 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, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, 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_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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24))))),
% 1.67/1.38 inference(monotonicity,[status(thm)],[255])).
% 1.67/1.38 tff(257,plain,
% 1.67/1.38 (((~![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, 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, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, 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_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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)))),
% 1.67/1.38 inference(transitivity,[status(thm)],[256, 254])).
% 1.67/1.38 tff(258,plain,
% 1.67/1.38 ((~![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, 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, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)))),
% 1.67/1.38 inference(quant_inst,[status(thm)],[])).
% 1.67/1.38 tff(259,plain,
% 1.67/1.38 ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24))),
% 1.67/1.38 inference(modus_ponens,[status(thm)],[258, 257])).
% 1.67/1.38 tff(260,plain,
% 1.67/1.38 (ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)),
% 1.67/1.38 inference(unit_resolution,[status(thm)],[259, 253, 13, 30, 50, 70, 90, 193, 200, 220, 240])).
% 1.67/1.38 tff(261,plain,
% 1.67/1.38 (^[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))))),
% 1.67/1.38 inference(bind,[status(th)],[])).
% 1.67/1.38 tff(262,plain,
% 1.67/1.38 (![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)))),
% 1.67/1.38 inference(quant_intro,[status(thm)],[261])).
% 1.67/1.38 tff(263,plain,
% 1.67/1.38 (![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)))),
% 1.67/1.38 inference(rewrite,[status(thm)],[])).
% 1.67/1.38 tff(264,plain,
% 1.67/1.38 (^[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)))))),
% 1.67/1.38 inference(bind,[status(th)],[])).
% 1.67/1.38 tff(265,plain,
% 1.67/1.38 (![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)))),
% 1.67/1.38 inference(quant_intro,[status(thm)],[264])).
% 1.67/1.38 tff(266,plain,
% 1.67/1.38 (^[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)))))),
% 1.67/1.38 inference(bind,[status(th)],[])).
% 1.67/1.38 tff(267,plain,
% 1.67/1.38 (![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)))),
% 1.67/1.38 inference(quant_intro,[status(thm)],[266])).
% 1.67/1.38 tff(268,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','clause24')).
% 1.67/1.38 tff(269,plain,
% 1.67/1.38 (![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)))),
% 1.67/1.38 inference(modus_ponens,[status(thm)],[268, 267])).
% 1.67/1.38 tff(270,plain,
% 1.67/1.38 (![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)))),
% 1.67/1.38 inference(modus_ponens,[status(thm)],[269, 265])).
% 1.67/1.38 tff(271,plain,
% 1.67/1.38 (![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)))),
% 1.67/1.38 inference(modus_ponens,[status(thm)],[270, 263])).
% 1.67/1.38 tff(272,plain,(
% 1.67/1.38 ![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)))),
% 1.67/1.38 inference(skolemize,[status(sab)],[271])).
% 1.67/1.38 tff(273,plain,
% 1.67/1.38 (![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)))),
% 1.67/1.38 inference(modus_ponens,[status(thm)],[272, 262])).
% 1.67/1.38 tff(274,plain,
% 1.67/1.38 (((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, 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_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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)))),
% 1.67/1.38 inference(rewrite,[status(thm)],[])).
% 1.67/1.38 tff(275,plain,
% 1.67/1.38 ((ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, 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, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24))) <=> ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)))),
% 1.67/1.39 inference(rewrite,[status(thm)],[])).
% 1.67/1.39 tff(276,plain,
% 1.67/1.39 (((~![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, 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, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, 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_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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24))))),
% 1.67/1.39 inference(monotonicity,[status(thm)],[275])).
% 1.67/1.39 tff(277,plain,
% 1.67/1.39 (((~![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, 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, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, 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_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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)))),
% 1.67/1.39 inference(transitivity,[status(thm)],[276, 274])).
% 1.67/1.39 tff(278,plain,
% 1.67/1.39 ((~![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, 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, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)))),
% 1.67/1.39 inference(quant_inst,[status(thm)],[])).
% 1.67/1.39 tff(279,plain,
% 1.67/1.39 ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24))),
% 1.67/1.39 inference(modus_ponens,[status(thm)],[278, 277])).
% 1.67/1.39 tff(280,plain,
% 1.67/1.39 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)),
% 1.67/1.39 inference(unit_resolution,[status(thm)],[279, 273, 13, 30, 50, 70, 90, 193, 200, 220, 240, 260])).
% 1.67/1.39 tff(281,plain,
% 1.67/1.39 (^[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))))),
% 1.67/1.39 inference(bind,[status(th)],[])).
% 1.67/1.39 tff(282,plain,
% 1.67/1.39 (![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)))),
% 1.67/1.39 inference(quant_intro,[status(thm)],[281])).
% 1.67/1.39 tff(283,plain,
% 1.67/1.39 (![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)))),
% 1.67/1.39 inference(rewrite,[status(thm)],[])).
% 1.67/1.39 tff(284,plain,
% 1.67/1.39 (^[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)))))),
% 1.67/1.39 inference(bind,[status(th)],[])).
% 1.67/1.39 tff(285,plain,
% 1.67/1.39 (![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)))),
% 1.67/1.39 inference(quant_intro,[status(thm)],[284])).
% 1.67/1.39 tff(286,plain,
% 1.67/1.39 (^[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)))))),
% 1.67/1.39 inference(bind,[status(th)],[])).
% 1.67/1.39 tff(287,plain,
% 1.67/1.39 (![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)))),
% 1.67/1.39 inference(quant_intro,[status(thm)],[286])).
% 1.67/1.39 tff(288,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','clause27')).
% 1.67/1.39 tff(289,plain,
% 1.67/1.39 (![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)))),
% 1.67/1.39 inference(modus_ponens,[status(thm)],[288, 287])).
% 1.67/1.39 tff(290,plain,
% 1.67/1.39 (![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)))),
% 1.67/1.40 inference(modus_ponens,[status(thm)],[289, 285])).
% 1.67/1.40 tff(291,plain,
% 1.67/1.40 (![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)))),
% 1.67/1.40 inference(modus_ponens,[status(thm)],[290, 283])).
% 1.67/1.40 tff(292,plain,(
% 1.67/1.40 ![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)))),
% 1.67/1.40 inference(skolemize,[status(sab)],[291])).
% 1.67/1.40 tff(293,plain,
% 1.67/1.40 (![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)))),
% 1.67/1.40 inference(modus_ponens,[status(thm)],[292, 282])).
% 1.67/1.40 tff(294,plain,
% 1.67/1.40 (((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24))),
% 1.67/1.40 inference(rewrite,[status(thm)],[])).
% 1.67/1.40 tff(295,plain,
% 1.67/1.40 (((~ssNder1_1r1(elem!0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, 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, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24))) <=> ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24))),
% 1.67/1.40 inference(rewrite,[status(thm)],[])).
% 1.67/1.40 tff(296,plain,
% 1.67/1.40 (((~![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, skc24, 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, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)))),
% 1.67/1.40 inference(monotonicity,[status(thm)],[295])).
% 1.67/1.40 tff(297,plain,
% 1.67/1.40 (((~![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, skc24, 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, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24))),
% 1.67/1.40 inference(transitivity,[status(thm)],[296, 294])).
% 1.67/1.40 tff(298,plain,
% 1.67/1.40 ((~![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, skc24, 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, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)))),
% 1.67/1.40 inference(quant_inst,[status(thm)],[])).
% 1.67/1.40 tff(299,plain,
% 1.67/1.40 ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)),
% 1.67/1.40 inference(modus_ponens,[status(thm)],[298, 297])).
% 1.67/1.40 tff(300,plain,
% 1.67/1.40 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)),
% 1.67/1.40 inference(unit_resolution,[status(thm)],[299, 293, 13, 30, 50, 70, 90, 193, 200, 220, 240, 260, 280])).
% 1.67/1.40 tff(301,plain,
% 1.67/1.40 (^[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))))),
% 1.67/1.40 inference(bind,[status(th)],[])).
% 1.67/1.40 tff(302,plain,
% 1.67/1.40 (![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)))),
% 1.67/1.40 inference(quant_intro,[status(thm)],[301])).
% 1.67/1.40 tff(303,plain,
% 1.67/1.40 (![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)))),
% 1.67/1.40 inference(rewrite,[status(thm)],[])).
% 1.67/1.40 tff(304,plain,
% 1.67/1.40 (^[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)))))),
% 1.67/1.41 inference(bind,[status(th)],[])).
% 1.67/1.41 tff(305,plain,
% 1.67/1.41 (![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)))),
% 1.67/1.41 inference(quant_intro,[status(thm)],[304])).
% 1.67/1.41 tff(306,plain,
% 1.67/1.41 (^[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)))))),
% 1.67/1.41 inference(bind,[status(th)],[])).
% 1.67/1.41 tff(307,plain,
% 1.67/1.41 (![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)))),
% 1.67/1.41 inference(quant_intro,[status(thm)],[306])).
% 1.67/1.41 tff(308,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','clause31')).
% 1.67/1.41 tff(309,plain,
% 1.67/1.41 (![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)))),
% 1.67/1.41 inference(modus_ponens,[status(thm)],[308, 307])).
% 1.67/1.41 tff(310,plain,
% 1.67/1.41 (![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)))),
% 1.67/1.41 inference(modus_ponens,[status(thm)],[309, 305])).
% 1.67/1.41 tff(311,plain,
% 1.67/1.41 (![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)))),
% 1.67/1.41 inference(modus_ponens,[status(thm)],[310, 303])).
% 1.67/1.41 tff(312,plain,(
% 1.67/1.41 ![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)))),
% 1.67/1.41 inference(skolemize,[status(sab)],[311])).
% 1.67/1.41 tff(313,plain,
% 1.67/1.41 (![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)))),
% 1.67/1.41 inference(modus_ponens,[status(thm)],[312, 302])).
% 1.67/1.41 tff(314,plain,
% 1.67/1.41 (((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23))),
% 1.67/1.41 inference(rewrite,[status(thm)],[])).
% 1.67/1.41 tff(315,plain,
% 1.67/1.41 ((ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, 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, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24))) <=> ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23))),
% 1.67/1.41 inference(rewrite,[status(thm)],[])).
% 1.67/1.41 tff(316,plain,
% 1.67/1.41 (((~![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, skc24, 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, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23)))),
% 1.72/1.42 inference(monotonicity,[status(thm)],[315])).
% 1.72/1.42 tff(317,plain,
% 1.72/1.42 (((~![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, skc24, 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, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23))),
% 1.72/1.42 inference(transitivity,[status(thm)],[316, 314])).
% 1.72/1.42 tff(318,plain,
% 1.72/1.42 ((~![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, skc24, 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, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)))),
% 1.72/1.42 inference(quant_inst,[status(thm)],[])).
% 1.72/1.42 tff(319,plain,
% 1.72/1.42 ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23)),
% 1.72/1.42 inference(modus_ponens,[status(thm)],[318, 317])).
% 1.72/1.42 tff(320,plain,
% 1.72/1.42 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23)),
% 1.72/1.42 inference(unit_resolution,[status(thm)],[319, 313, 13, 30, 50, 70, 90, 193, 200, 220, 240, 260, 280, 300])).
% 1.72/1.42 tff(321,plain,
% 1.72/1.42 (^[W: $i, V: $i, 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, skc19))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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, skc19))))),
% 1.72/1.42 inference(bind,[status(th)],[])).
% 1.72/1.42 tff(322,plain,
% 1.72/1.42 (![W: $i, V: $i, 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, skc19))) <=> ![W: $i, V: $i, 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, skc19)))),
% 1.72/1.42 inference(quant_intro,[status(thm)],[321])).
% 1.72/1.42 tff(323,plain,
% 1.72/1.42 (![W: $i, V: $i, 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, skc19))) <=> ![W: $i, V: $i, 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, skc19)))),
% 1.72/1.42 inference(rewrite,[status(thm)],[])).
% 1.72/1.42 tff(324,plain,
% 1.72/1.42 (^[W: $i, V: $i, 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) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) <=> ($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, skc19))))), 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, skc19))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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, skc19)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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, skc19))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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, skc19)))))),
% 1.72/1.42 inference(bind,[status(th)],[])).
% 1.72/1.42 tff(325,plain,
% 1.72/1.42 (![W: $i, V: $i, 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, skc19))) <=> ![W: $i, V: $i, 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, skc19)))),
% 1.72/1.42 inference(quant_intro,[status(thm)],[324])).
% 1.72/1.42 tff(326,plain,
% 1.72/1.42 (^[W: $i, V: $i, 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(((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), ((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), ((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))))), (((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), (((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))))), ((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), ((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))))), (((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), (((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))))), ((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), ((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))))), (((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), (((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))))), ((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), ((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))))), (((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), (((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))))), ((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), ((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))))), (((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), (((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))))), ((((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), ((((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))))), (((((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), (((((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))))), ((((((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19))) | (~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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))), ((((((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)))))),
% 1.72/1.43 inference(bind,[status(th)],[])).
% 1.72/1.43 tff(327,plain,
% 1.72/1.43 (![W: $i, V: $i, 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, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) <=> ![W: $i, V: $i, 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, skc19)))),
% 1.72/1.43 inference(quant_intro,[status(thm)],[326])).
% 1.72/1.43 tff(328,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] : (((((((((((((((~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, skc19)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause39')).
% 1.72/1.43 tff(329,plain,
% 1.72/1.43 (![W: $i, V: $i, 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, skc19)))),
% 1.72/1.43 inference(modus_ponens,[status(thm)],[328, 327])).
% 1.72/1.43 tff(330,plain,
% 1.72/1.43 (![W: $i, V: $i, 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, skc19)))),
% 1.72/1.43 inference(modus_ponens,[status(thm)],[329, 325])).
% 1.72/1.43 tff(331,plain,
% 1.72/1.43 (![W: $i, V: $i, 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, skc19)))),
% 1.72/1.43 inference(modus_ponens,[status(thm)],[330, 323])).
% 1.72/1.43 tff(332,plain,(
% 1.72/1.43 ![W: $i, V: $i, 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, skc19)))),
% 1.72/1.43 inference(skolemize,[status(sab)],[331])).
% 1.72/1.43 tff(333,plain,
% 1.72/1.43 (![W: $i, V: $i, 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, skc19)))),
% 1.72/1.43 inference(modus_ponens,[status(thm)],[332, 322])).
% 1.72/1.43 tff(334,plain,
% 1.72/1.43 (((~![W: $i, V: $i, 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, skc19)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19)))) <=> ((~![W: $i, V: $i, 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, skc19)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19)))),
% 1.72/1.43 inference(rewrite,[status(thm)],[])).
% 1.72/1.43 tff(335,plain,
% 1.72/1.43 ((~![W: $i, V: $i, 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, skc19)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19)))),
% 1.72/1.43 inference(quant_inst,[status(thm)],[])).
% 1.72/1.43 tff(336,plain,
% 1.72/1.43 ((~![W: $i, V: $i, 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, skc19)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19))),
% 1.72/1.43 inference(modus_ponens,[status(thm)],[335, 334])).
% 1.72/1.43 tff(337,plain,
% 1.72/1.43 ($false),
% 1.72/1.43 inference(unit_resolution,[status(thm)],[336, 333, 13, 30, 50, 70, 90, 193, 200, 220, 240, 260, 280, 300, 320, 186])).
% 1.72/1.43 tff(338,plain,(~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19)), inference(lemma,lemma(discharge,[]))).
% 1.72/1.43 tff(339,plain,
% 1.72/1.43 (^[W: $i, V: $i, 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))))),
% 1.72/1.43 inference(bind,[status(th)],[])).
% 1.72/1.43 tff(340,plain,
% 1.72/1.43 (![W: $i, V: $i, 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)))),
% 1.72/1.43 inference(quant_intro,[status(thm)],[339])).
% 1.72/1.43 tff(341,plain,
% 1.72/1.43 (![W: $i, V: $i, 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)))),
% 1.72/1.44 inference(rewrite,[status(thm)],[])).
% 1.72/1.44 tff(342,plain,
% 1.72/1.44 (^[W: $i, V: $i, 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)))))),
% 1.72/1.44 inference(bind,[status(th)],[])).
% 1.72/1.44 tff(343,plain,
% 1.72/1.44 (![W: $i, V: $i, 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)))),
% 1.72/1.44 inference(quant_intro,[status(thm)],[342])).
% 1.72/1.44 tff(344,plain,
% 1.72/1.44 (^[W: $i, V: $i, 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)))))),
% 1.72/1.44 inference(bind,[status(th)],[])).
% 1.72/1.44 tff(345,plain,
% 1.72/1.44 (![W: $i, V: $i, 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)))),
% 1.72/1.44 inference(quant_intro,[status(thm)],[344])).
% 1.72/1.44 tff(346,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','clause36')).
% 1.72/1.44 tff(347,plain,
% 1.72/1.44 (![W: $i, V: $i, 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)))),
% 1.72/1.44 inference(modus_ponens,[status(thm)],[346, 345])).
% 1.72/1.44 tff(348,plain,
% 1.72/1.44 (![W: $i, V: $i, 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)))),
% 1.72/1.44 inference(modus_ponens,[status(thm)],[347, 343])).
% 1.72/1.44 tff(349,plain,
% 1.72/1.44 (![W: $i, V: $i, 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)))),
% 1.72/1.44 inference(modus_ponens,[status(thm)],[348, 341])).
% 1.72/1.44 tff(350,plain,(
% 1.72/1.44 ![W: $i, V: $i, 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)))),
% 1.75/1.44 inference(skolemize,[status(sab)],[349])).
% 1.75/1.44 tff(351,plain,
% 1.75/1.44 (![W: $i, V: $i, 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)))),
% 1.75/1.44 inference(modus_ponens,[status(thm)],[350, 340])).
% 1.75/1.44 tff(352,plain,
% 1.75/1.44 (((~![W: $i, V: $i, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, 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_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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21))),
% 1.75/1.45 inference(rewrite,[status(thm)],[])).
% 1.75/1.45 tff(353,plain,
% 1.75/1.45 ((ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, 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, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23))) <=> ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21))),
% 1.75/1.45 inference(rewrite,[status(thm)],[])).
% 1.75/1.45 tff(354,plain,
% 1.75/1.45 (((~![W: $i, V: $i, 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, skc24, 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, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21)))),
% 1.75/1.45 inference(monotonicity,[status(thm)],[353])).
% 1.75/1.45 tff(355,plain,
% 1.75/1.45 (((~![W: $i, V: $i, 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, skc24, 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, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21))),
% 1.75/1.45 inference(transitivity,[status(thm)],[354, 352])).
% 1.75/1.45 tff(356,plain,
% 1.75/1.45 ((~![W: $i, V: $i, 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, skc24, 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, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23)))),
% 1.75/1.45 inference(quant_inst,[status(thm)],[])).
% 1.75/1.45 tff(357,plain,
% 1.75/1.45 ((~![W: $i, V: $i, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21)),
% 1.75/1.45 inference(modus_ponens,[status(thm)],[356, 355])).
% 1.75/1.45 tff(358,plain,
% 1.75/1.45 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21)),
% 1.75/1.45 inference(unit_resolution,[status(thm)],[357, 351, 13, 30, 50, 70, 90, 193, 200, 220, 240, 260, 280, 300, 320])).
% 1.75/1.45 tff(359,plain,
% 1.75/1.45 (^[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)) | ssPv19_2r1r1(U, V) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | ssPv19_2r1r1(U, V) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))),
% 1.75/1.45 inference(bind,[status(th)],[])).
% 1.75/1.45 tff(360,plain,
% 1.75/1.45 (![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)) | ssPv19_2r1r1(U, V) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![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)) | ssPv19_2r1r1(U, V) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 1.75/1.45 inference(quant_intro,[status(thm)],[359])).
% 1.75/1.45 tff(361,plain,
% 1.75/1.45 (![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)) | ssPv19_2r1r1(U, V) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![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)) | ssPv19_2r1r1(U, V) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 1.75/1.45 inference(rewrite,[status(thm)],[])).
% 1.75/1.45 tff(362,plain,
% 1.75/1.45 (^[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) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_2r1r1(U, V) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ($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)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | ssPv19_2r1r1(U, V) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_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)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | ssPv19_2r1r1(U, V) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | ssPv19_2r1r1(U, V) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_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)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | ssPv19_2r1r1(U, V) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | ssPv19_2r1r1(U, V) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))))),
% 1.75/1.46 inference(bind,[status(th)],[])).
% 1.75/1.46 tff(363,plain,
% 1.75/1.46 (![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)) | ssPv19_2r1r1(U, V) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ![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)) | ssPv19_2r1r1(U, V) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 1.75/1.46 inference(quant_intro,[status(thm)],[362])).
% 1.75/1.46 tff(364,plain,
% 1.75/1.46 (^[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(trans(monotonicity(rewrite(((~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)))), ((((~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))) | (~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))) | (~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)))), ((((~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))))), (((((~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))) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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))) | (~ssPv10_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))) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((~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))) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((~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))) | (~ssPv10_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)) | (~ssPv10_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))))), 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)) | (~ssPv10_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)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((~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))) | (~ssPv10_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)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((~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))) | (~ssPv10_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)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_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)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((~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))) | (~ssPv10_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)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((~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))) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((~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))) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((~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))) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((~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))) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((~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))) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((~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))) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((~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))) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((~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))) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((((~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))) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((((~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))) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((((~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))) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((((~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))) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((((((~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))) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((((((~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))) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((((((~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))) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((((((~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))) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((((((((~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))) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((((((((~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))) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((((((((~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))) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((((((((~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))) | (~ssPv10_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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((((((((((~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))) | (~ssPv10_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)) | 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | ssPv6_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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | 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)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((((((((((~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))) | (~ssPv10_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)) | 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)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), (((((((((((((((((((~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))) | (~ssPv10_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)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | 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)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | 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)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | 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)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), (((((((((((((((((((~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))) | (~ssPv10_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)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | 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)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), ((((((((((((((((((((~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))) | (~ssPv10_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)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_2r1r1(U, V)) <=> (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | ssPv19_2r1r1(U, V)))), 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)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | ssPv19_2r1r1(U, V)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | ssPv19_2r1r1(U, V) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))), ((((((((((((((((((((~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))) | (~ssPv10_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)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_2r1r1(U, V)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | ssPv19_2r1r1(U, V) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))))),
% 1.75/1.46 inference(bind,[status(th)],[])).
% 1.75/1.46 tff(365,plain,
% 1.75/1.46 (![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)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssPv10_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)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_2r1r1(U, V)) <=> ![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)) | ssPv19_2r1r1(U, V) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 1.75/1.46 inference(quant_intro,[status(thm)],[364])).
% 1.75/1.46 tff(366,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)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssPv10_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)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv19_2r1r1(U, V))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause49')).
% 1.75/1.46 tff(367,plain,
% 1.75/1.46 (![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)) | ssPv19_2r1r1(U, V) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 1.75/1.46 inference(modus_ponens,[status(thm)],[366, 365])).
% 1.75/1.46 tff(368,plain,
% 1.75/1.46 (![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)) | ssPv19_2r1r1(U, V) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 1.75/1.46 inference(modus_ponens,[status(thm)],[367, 363])).
% 1.75/1.46 tff(369,plain,
% 1.75/1.46 (![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)) | ssPv19_2r1r1(U, V) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 1.75/1.46 inference(modus_ponens,[status(thm)],[368, 361])).
% 1.75/1.46 tff(370,plain,(
% 1.75/1.46 ![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)) | ssPv19_2r1r1(U, V) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 1.75/1.46 inference(skolemize,[status(sab)],[369])).
% 1.75/1.46 tff(371,plain,
% 1.75/1.46 (![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)) | ssPv19_2r1r1(U, V) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))),
% 1.75/1.46 inference(modus_ponens,[status(thm)],[370, 360])).
% 1.75/1.46 tff(372,plain,
% 1.75/1.46 (((~![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)) | ssPv19_2r1r1(U, V) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv19_2r1r1(elem!0, elem!0) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19))) <=> ((~![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)) | ssPv19_2r1r1(U, V) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv19_2r1r1(elem!0, elem!0) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19))),
% 1.75/1.47 inference(rewrite,[status(thm)],[])).
% 1.75/1.47 tff(373,plain,
% 1.75/1.47 (((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv19_2r1r1(elem!0, elem!0) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24))) <=> ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv19_2r1r1(elem!0, elem!0) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19))),
% 1.75/1.47 inference(rewrite,[status(thm)],[])).
% 1.75/1.47 tff(374,plain,
% 1.75/1.47 (((~![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)) | ssPv19_2r1r1(U, V) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_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, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv19_2r1r1(elem!0, elem!0) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)))) <=> ((~![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)) | ssPv19_2r1r1(U, V) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv19_2r1r1(elem!0, elem!0) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19)))),
% 1.75/1.47 inference(monotonicity,[status(thm)],[373])).
% 1.75/1.47 tff(375,plain,
% 1.75/1.47 (((~![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)) | ssPv19_2r1r1(U, V) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_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, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv19_2r1r1(elem!0, elem!0) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)))) <=> ((~![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)) | ssPv19_2r1r1(U, V) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv19_2r1r1(elem!0, elem!0) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19))),
% 1.75/1.47 inference(transitivity,[status(thm)],[374, 372])).
% 1.75/1.47 tff(376,plain,
% 1.75/1.47 ((~![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)) | ssPv19_2r1r1(U, V) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_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, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv19_2r1r1(elem!0, elem!0) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)))),
% 1.75/1.48 inference(quant_inst,[status(thm)],[])).
% 1.75/1.48 tff(377,plain,
% 1.75/1.48 ((~![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)) | ssPv19_2r1r1(U, V) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)))) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssPv19_2r1r1(elem!0, elem!0) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19)),
% 1.75/1.48 inference(modus_ponens,[status(thm)],[376, 375])).
% 1.75/1.48 tff(378,plain,
% 1.75/1.48 (ssPv19_2r1r1(elem!0, elem!0) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19)),
% 1.75/1.48 inference(unit_resolution,[status(thm)],[377, 371, 13, 30, 50, 70, 164, 90, 193, 200, 220, 240, 260, 280, 300, 320, 358])).
% 1.75/1.48 tff(379,plain,
% 1.75/1.48 (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)),
% 1.75/1.48 inference(unit_resolution,[status(thm)],[378, 1, 338])).
% 1.75/1.48 tff(380,plain,
% 1.75/1.48 (((~![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, 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)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24))) <=> ((~![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, 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)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24))),
% 1.75/1.48 inference(rewrite,[status(thm)],[])).
% 1.75/1.48 tff(381,plain,
% 1.75/1.48 ((~![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, 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)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24))),
% 1.75/1.48 inference(quant_inst,[status(thm)],[])).
% 1.75/1.48 tff(382,plain,
% 1.75/1.48 ((~![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, 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)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)),
% 1.75/1.48 inference(modus_ponens,[status(thm)],[381, 380])).
% 1.75/1.48 tff(383,plain,
% 1.75/1.48 (ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)),
% 1.75/1.48 inference(unit_resolution,[status(thm)],[382, 123, 13, 30, 50, 70, 90, 193])).
% 1.75/1.48 tff(384,plain,
% 1.75/1.48 (^[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_5r1r1r1r1r1(U, V, W, X, Y) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~ssPv13_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_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))),
% 1.75/1.48 inference(bind,[status(th)],[])).
% 1.75/1.48 tff(385,plain,
% 1.75/1.48 (![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_5r1r1r1r1r1(U, V, W, X, Y) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![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_5r1r1r1r1r1(U, V, W, X, Y) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 1.75/1.48 inference(quant_intro,[status(thm)],[384])).
% 1.75/1.48 tff(386,plain,
% 1.75/1.48 (![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_5r1r1r1r1r1(U, V, W, X, Y) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![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_5r1r1r1r1r1(U, V, W, X, Y) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 1.75/1.48 inference(rewrite,[status(thm)],[])).
% 1.75/1.48 tff(387,plain,
% 1.75/1.48 (^[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) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ($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)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, 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_5r1r1r1r1r1(U, V, W, X, Y) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~ssPv13_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)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, 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_5r1r1r1r1r1(U, V, W, X, Y) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~ssPv13_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_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~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)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~ssPv13_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_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))))),
% 1.75/1.48 inference(bind,[status(th)],[])).
% 1.75/1.48 tff(388,plain,
% 1.75/1.48 (![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_5r1r1r1r1r1(U, V, W, X, Y) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ![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_5r1r1r1r1r1(U, V, W, X, Y) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 1.75/1.48 inference(quant_intro,[status(thm)],[387])).
% 1.75/1.48 tff(389,plain,
% 1.75/1.48 (^[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(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))) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssPv13_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))) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssPv13_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)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~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)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~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)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~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)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssPv13_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_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~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)) | (~ssPv13_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)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssPv13_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_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssPv13_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_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_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_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_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_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssPv13_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_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssPv13_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_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_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_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_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_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssPv13_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_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssPv13_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_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_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_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_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_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssPv13_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_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssPv13_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_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_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_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_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_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssPv13_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_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssPv13_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_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_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_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_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_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssPv13_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_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssPv13_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))) | (~ssPv20_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssPv20_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)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssPv20_1r1(U))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssPv13_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))) | (~ssPv20_1r1(U))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssPv13_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))) | (~ssPv20_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)) | (~ssPv20_1r1(U)) | (~ssPv13_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_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv20_1r1(U)) | (~ssPv13_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_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssPv13_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))) | (~ssPv20_1r1(U))) | (~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)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssPv13_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))) | (~ssPv20_1r1(U))) | (~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)) | (~ssPv20_1r1(U)) | (~ssPv13_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_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv20_1r1(U)) | (~ssPv13_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_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssPv13_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))) | (~ssPv20_1r1(U))) | (~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)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), (((((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssPv13_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))) | (~ssPv20_1r1(U))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv10_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)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssPv10_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)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | ssPv10_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)) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), (((((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssPv13_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))) | (~ssPv20_1r1(U))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv10_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)) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))), ((((((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssPv13_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))) | (~ssPv20_1r1(U))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | 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)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | 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)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | 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)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, 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_5r1r1r1r1r1(U, V, W, X, Y) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))), ((((((((((((((((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssPv13_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))) | (~ssPv20_1r1(U))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | 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)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, 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_5r1r1r1r1r1(U, V, W, X, Y) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))))),
% 1.75/1.48 inference(bind,[status(th)],[])).
% 1.75/1.48 tff(390,plain,
% 1.75/1.48 (![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))) | (~ssPv13_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))) | (~ssPv20_1r1(U))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y)) <=> ![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_5r1r1r1r1r1(U, V, W, X, Y) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 1.75/1.48 inference(quant_intro,[status(thm)],[389])).
% 1.75/1.48 tff(391,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))) | (~ssPv13_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))) | (~ssPv20_1r1(U))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause30')).
% 1.75/1.48 tff(392,plain,
% 1.75/1.48 (![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_5r1r1r1r1r1(U, V, W, X, Y) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 1.75/1.48 inference(modus_ponens,[status(thm)],[391, 390])).
% 1.75/1.48 tff(393,plain,
% 1.75/1.48 (![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_5r1r1r1r1r1(U, V, W, X, Y) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 1.75/1.49 inference(modus_ponens,[status(thm)],[392, 388])).
% 1.75/1.49 tff(394,plain,
% 1.75/1.49 (![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_5r1r1r1r1r1(U, V, W, X, Y) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 1.75/1.49 inference(modus_ponens,[status(thm)],[393, 386])).
% 1.75/1.49 tff(395,plain,(
% 1.75/1.49 ![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_5r1r1r1r1r1(U, V, W, X, Y) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 1.75/1.49 inference(skolemize,[status(sab)],[394])).
% 1.75/1.49 tff(396,plain,
% 1.75/1.49 (![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_5r1r1r1r1r1(U, V, W, X, Y) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 1.75/1.49 inference(modus_ponens,[status(thm)],[395, 385])).
% 1.75/1.49 tff(397,plain,
% 1.75/1.49 (((~![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_5r1r1r1r1r1(U, V, W, X, Y) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~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, skc24)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv20_1r1(elem!0)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, 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_5r1r1r1r1r1(U, V, W, X, Y) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~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, skc24)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv20_1r1(elem!0)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24))),
% 1.75/1.49 inference(rewrite,[status(thm)],[])).
% 1.75/1.49 tff(398,plain,
% 1.75/1.49 (((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24) | (~ssPv20_1r1(elem!0)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24))) <=> ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~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, skc24)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv20_1r1(elem!0)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24))),
% 1.75/1.49 inference(rewrite,[status(thm)],[])).
% 1.75/1.49 tff(399,plain,
% 1.75/1.49 (((~![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_5r1r1r1r1r1(U, V, W, X, Y) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~ssPv13_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_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24) | (~ssPv20_1r1(elem!0)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, 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_5r1r1r1r1r1(U, V, W, X, Y) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~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, skc24)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv20_1r1(elem!0)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)))),
% 1.75/1.49 inference(monotonicity,[status(thm)],[398])).
% 1.75/1.49 tff(400,plain,
% 1.75/1.49 (((~![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_5r1r1r1r1r1(U, V, W, X, Y) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~ssPv13_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_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24) | (~ssPv20_1r1(elem!0)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, 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_5r1r1r1r1r1(U, V, W, X, Y) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~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, skc24)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv20_1r1(elem!0)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24))),
% 1.75/1.49 inference(transitivity,[status(thm)],[399, 397])).
% 1.75/1.49 tff(401,plain,
% 1.75/1.49 ((~![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_5r1r1r1r1r1(U, V, W, X, Y) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~ssPv13_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_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24) | (~ssPv20_1r1(elem!0)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)))),
% 1.75/1.50 inference(quant_inst,[status(thm)],[])).
% 1.75/1.50 tff(402,plain,
% 1.75/1.50 ((~![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_5r1r1r1r1r1(U, V, W, X, Y) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~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, skc24)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssPv20_1r1(elem!0)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24)) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)),
% 1.75/1.50 inference(modus_ponens,[status(thm)],[401, 400])).
% 1.75/1.50 tff(403,plain,
% 1.75/1.50 ((~ssPv20_1r1(elem!0)) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc27, skc24, skc24, skc24, skc24)),
% 1.75/1.50 inference(unit_resolution,[status(thm)],[402, 396, 13, 30, 50, 70, 164, 90, 193, 200, 383, 220, 240, 260])).
% 1.75/1.50 tff(404,plain,
% 1.75/1.50 ($false),
% 1.75/1.50 inference(unit_resolution,[status(thm)],[403, 379, 185])).
% 1.75/1.50 tff(405,plain,(ssPv19_2r1r1(elem!0, elem!0)), inference(lemma,lemma(discharge,[]))).
% 1.75/1.50 tff(406,plain,
% 1.75/1.50 (((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssNder1_1r1(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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)))),
% 1.75/1.50 inference(rewrite,[status(thm)],[])).
% 1.75/1.50 tff(407,plain,
% 1.75/1.50 (((~ssNder1_1r1(elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0))) <=> ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)))),
% 1.75/1.50 inference(rewrite,[status(thm)],[])).
% 1.75/1.50 tff(408,plain,
% 1.75/1.50 (((~![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, skc30) | (~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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0))))),
% 1.75/1.50 inference(monotonicity,[status(thm)],[407])).
% 1.75/1.50 tff(409,plain,
% 1.75/1.50 (((~![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, skc30) | (~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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)))),
% 1.75/1.50 inference(transitivity,[status(thm)],[408, 406])).
% 1.75/1.50 tff(410,plain,
% 1.75/1.50 ((~![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, skc30) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)))),
% 1.75/1.50 inference(quant_inst,[status(thm)],[])).
% 1.75/1.50 tff(411,plain,
% 1.75/1.50 ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0))),
% 1.75/1.50 inference(modus_ponens,[status(thm)],[410, 409])).
% 1.75/1.50 tff(412,plain,
% 1.75/1.50 (ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)),
% 1.75/1.50 inference(unit_resolution,[status(thm)],[411, 83, 13, 30, 50, 70])).
% 1.75/1.50 tff(413,plain,
% 1.75/1.50 (((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)))) <=> ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)))),
% 1.75/1.50 inference(rewrite,[status(thm)],[])).
% 1.75/1.50 tff(414,plain,
% 1.75/1.50 (((~ssNder1_1r1(elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30))) <=> ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)))),
% 1.75/1.50 inference(rewrite,[status(thm)],[])).
% 1.75/1.50 tff(415,plain,
% 1.75/1.50 (((~![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, skc30, skc28) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)))) <=> ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30))))),
% 1.75/1.50 inference(monotonicity,[status(thm)],[414])).
% 1.75/1.50 tff(416,plain,
% 1.75/1.50 (((~![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, skc30, skc28) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)))) <=> ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)))),
% 1.75/1.50 inference(transitivity,[status(thm)],[415, 413])).
% 1.75/1.50 tff(417,plain,
% 1.75/1.50 ((~![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, skc30, skc28) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)))),
% 1.75/1.50 inference(quant_inst,[status(thm)],[])).
% 1.75/1.50 tff(418,plain,
% 1.75/1.50 ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30))),
% 1.75/1.50 inference(modus_ponens,[status(thm)],[417, 416])).
% 1.75/1.50 tff(419,plain,
% 1.75/1.50 (ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)),
% 1.75/1.50 inference(unit_resolution,[status(thm)],[418, 103, 13, 30, 50, 70, 412])).
% 1.75/1.50 tff(420,plain,
% 1.75/1.50 (((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27))),
% 1.75/1.50 inference(rewrite,[status(thm)],[])).
% 1.75/1.50 tff(421,plain,
% 1.75/1.50 ((ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28))) <=> ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27))),
% 1.75/1.50 inference(rewrite,[status(thm)],[])).
% 1.75/1.50 tff(422,plain,
% 1.75/1.50 (((~![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, skc30, skc28, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)))) <=> ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)))),
% 1.75/1.50 inference(monotonicity,[status(thm)],[421])).
% 1.75/1.50 tff(423,plain,
% 1.75/1.50 (((~![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, skc30, skc28, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)))) <=> ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27))),
% 1.75/1.50 inference(transitivity,[status(thm)],[422, 420])).
% 1.75/1.50 tff(424,plain,
% 1.75/1.50 ((~![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, skc30, skc28, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)))),
% 1.75/1.50 inference(quant_inst,[status(thm)],[])).
% 1.75/1.50 tff(425,plain,
% 1.75/1.50 ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)),
% 1.75/1.50 inference(modus_ponens,[status(thm)],[424, 423])).
% 1.75/1.50 tff(426,plain,
% 1.75/1.50 (ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)),
% 1.75/1.50 inference(unit_resolution,[status(thm)],[425, 140, 13, 30, 50, 70, 412, 419])).
% 1.75/1.50 tff(427,plain,
% 1.75/1.50 (((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25))),
% 1.75/1.51 inference(rewrite,[status(thm)],[])).
% 1.75/1.51 tff(428,plain,
% 1.75/1.51 ((ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27))) <=> ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25))),
% 1.75/1.51 inference(rewrite,[status(thm)],[])).
% 1.75/1.51 tff(429,plain,
% 1.75/1.51 (((~![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, skc30, skc28, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)))),
% 1.75/1.51 inference(monotonicity,[status(thm)],[428])).
% 1.75/1.51 tff(430,plain,
% 1.75/1.51 (((~![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, skc30, skc28, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25))),
% 1.75/1.51 inference(transitivity,[status(thm)],[429, 427])).
% 1.75/1.51 tff(431,plain,
% 1.75/1.51 ((~![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, skc30, skc28, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)))),
% 1.75/1.51 inference(quant_inst,[status(thm)],[])).
% 1.75/1.51 tff(432,plain,
% 1.75/1.51 ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)),
% 1.75/1.51 inference(modus_ponens,[status(thm)],[431, 430])).
% 1.75/1.51 tff(433,plain,
% 1.75/1.51 (ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)),
% 1.75/1.51 inference(unit_resolution,[status(thm)],[432, 213, 13, 30, 50, 70, 412, 419, 426])).
% 1.75/1.51 tff(434,plain,
% 1.75/1.51 (((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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_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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24))),
% 1.75/1.51 inference(rewrite,[status(thm)],[])).
% 1.75/1.51 tff(435,plain,
% 1.75/1.51 (((~ssNder1_1r1(elem!0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25))) <=> ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24))),
% 1.75/1.51 inference(rewrite,[status(thm)],[])).
% 1.75/1.51 tff(436,plain,
% 1.75/1.51 (((~![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, skc30, skc28, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)))),
% 1.75/1.51 inference(monotonicity,[status(thm)],[435])).
% 1.75/1.51 tff(437,plain,
% 1.75/1.51 (((~![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, skc30, skc28, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24))),
% 1.75/1.51 inference(transitivity,[status(thm)],[436, 434])).
% 1.75/1.51 tff(438,plain,
% 1.75/1.51 ((~![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, skc30, skc28, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)))),
% 1.75/1.51 inference(quant_inst,[status(thm)],[])).
% 1.75/1.51 tff(439,plain,
% 1.75/1.51 ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)),
% 1.75/1.52 inference(modus_ponens,[status(thm)],[438, 437])).
% 1.75/1.52 tff(440,plain,
% 1.75/1.52 (ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)),
% 1.75/1.52 inference(unit_resolution,[status(thm)],[439, 233, 13, 30, 50, 70, 412, 419, 426, 433])).
% 1.75/1.52 tff(441,plain,
% 1.75/1.52 (((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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_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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24))),
% 1.75/1.52 inference(rewrite,[status(thm)],[])).
% 1.75/1.52 tff(442,plain,
% 1.75/1.52 (((~ssNder1_1r1(elem!0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24))) <=> ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24))),
% 1.75/1.52 inference(rewrite,[status(thm)],[])).
% 1.75/1.52 tff(443,plain,
% 1.75/1.52 (((~![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, skc30, skc28, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)))),
% 1.75/1.52 inference(monotonicity,[status(thm)],[442])).
% 1.75/1.52 tff(444,plain,
% 1.75/1.52 (((~![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, skc30, skc28, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24))),
% 1.75/1.52 inference(transitivity,[status(thm)],[443, 441])).
% 1.75/1.52 tff(445,plain,
% 1.75/1.52 ((~![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, skc30, skc28, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)))),
% 1.75/1.52 inference(quant_inst,[status(thm)],[])).
% 1.75/1.52 tff(446,plain,
% 1.75/1.52 ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)),
% 1.75/1.52 inference(modus_ponens,[status(thm)],[445, 444])).
% 1.75/1.52 tff(447,plain,
% 1.75/1.52 (ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)),
% 1.75/1.52 inference(unit_resolution,[status(thm)],[446, 253, 13, 30, 50, 70, 412, 419, 426, 433, 440])).
% 1.75/1.52 tff(448,plain,
% 1.75/1.52 (((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)))),
% 1.83/1.52 inference(rewrite,[status(thm)],[])).
% 1.83/1.52 tff(449,plain,
% 1.83/1.52 ((ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24))) <=> ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)))),
% 1.83/1.52 inference(rewrite,[status(thm)],[])).
% 1.83/1.52 tff(450,plain,
% 1.83/1.52 (((~![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, skc30, skc28, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24))))),
% 1.83/1.52 inference(monotonicity,[status(thm)],[449])).
% 1.83/1.52 tff(451,plain,
% 1.83/1.52 (((~![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, skc30, skc28, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)))),
% 1.83/1.53 inference(transitivity,[status(thm)],[450, 448])).
% 1.83/1.53 tff(452,plain,
% 1.83/1.53 ((~![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, skc30, skc28, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)))),
% 1.83/1.53 inference(quant_inst,[status(thm)],[])).
% 1.83/1.53 tff(453,plain,
% 1.83/1.53 ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24))),
% 1.83/1.53 inference(modus_ponens,[status(thm)],[452, 451])).
% 1.83/1.53 tff(454,plain,
% 1.83/1.53 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)),
% 1.83/1.53 inference(unit_resolution,[status(thm)],[453, 273, 13, 30, 50, 70, 412, 419, 426, 433, 440, 447])).
% 1.83/1.53 tff(455,plain,
% 1.83/1.53 (((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24))),
% 1.83/1.53 inference(rewrite,[status(thm)],[])).
% 1.83/1.53 tff(456,plain,
% 1.83/1.53 (((~ssNder1_1r1(elem!0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24))) <=> ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24))),
% 1.83/1.53 inference(rewrite,[status(thm)],[])).
% 1.83/1.53 tff(457,plain,
% 1.83/1.53 (((~![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, skc30, skc28, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 1.83/1.53 inference(monotonicity,[status(thm)],[456])).
% 1.83/1.53 tff(458,plain,
% 1.83/1.53 (((~![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, skc30, skc28, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24))),
% 1.83/1.54 inference(transitivity,[status(thm)],[457, 455])).
% 1.83/1.54 tff(459,plain,
% 1.83/1.54 ((~![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, skc30, skc28, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)))),
% 1.83/1.54 inference(quant_inst,[status(thm)],[])).
% 1.83/1.54 tff(460,plain,
% 1.83/1.54 ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)),
% 1.83/1.54 inference(modus_ponens,[status(thm)],[459, 458])).
% 1.83/1.54 tff(461,plain,
% 1.83/1.54 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)),
% 1.83/1.54 inference(unit_resolution,[status(thm)],[460, 293, 13, 30, 50, 70, 412, 419, 426, 433, 440, 447, 454])).
% 1.83/1.54 tff(462,plain,
% 1.83/1.54 (^[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)))),
% 1.83/1.54 inference(bind,[status(th)],[])).
% 1.83/1.54 tff(463,plain,
% 1.83/1.54 (![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))),
% 1.83/1.54 inference(quant_intro,[status(thm)],[462])).
% 1.83/1.54 tff(464,plain,
% 1.83/1.54 (![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))),
% 1.83/1.54 inference(rewrite,[status(thm)],[])).
% 1.83/1.54 tff(465,plain,
% 1.83/1.54 (^[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))))),
% 1.83/1.54 inference(bind,[status(th)],[])).
% 1.83/1.54 tff(466,plain,
% 1.83/1.54 (![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))),
% 1.83/1.54 inference(quant_intro,[status(thm)],[465])).
% 1.83/1.54 tff(467,plain,
% 1.83/1.54 (^[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))))),
% 1.83/1.54 inference(bind,[status(th)],[])).
% 1.83/1.54 tff(468,plain,
% 1.83/1.54 (![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))),
% 1.83/1.54 inference(quant_intro,[status(thm)],[467])).
% 1.83/1.54 tff(469,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','clause32')).
% 1.83/1.54 tff(470,plain,
% 1.83/1.54 (![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))),
% 1.83/1.54 inference(modus_ponens,[status(thm)],[469, 468])).
% 1.83/1.54 tff(471,plain,
% 1.83/1.54 (![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))),
% 1.83/1.54 inference(modus_ponens,[status(thm)],[470, 466])).
% 1.83/1.54 tff(472,plain,
% 1.83/1.54 (![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))),
% 1.83/1.54 inference(modus_ponens,[status(thm)],[471, 464])).
% 1.83/1.54 tff(473,plain,(
% 1.83/1.54 ![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))),
% 1.83/1.54 inference(skolemize,[status(sab)],[472])).
% 1.83/1.54 tff(474,plain,
% 1.83/1.54 (![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))),
% 1.83/1.55 inference(modus_ponens,[status(thm)],[473, 463])).
% 1.83/1.55 tff(475,plain,
% 1.83/1.55 (((~![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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22, skc20))),
% 1.83/1.55 inference(rewrite,[status(thm)],[])).
% 1.83/1.55 tff(476,plain,
% 1.83/1.55 ((~![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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22, skc20))),
% 1.83/1.55 inference(quant_inst,[status(thm)],[])).
% 1.83/1.55 tff(477,plain,
% 1.83/1.55 ((~![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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22, skc20)),
% 1.83/1.55 inference(modus_ponens,[status(thm)],[476, 475])).
% 1.83/1.55 tff(478,plain,
% 1.83/1.55 (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22, skc20)),
% 1.83/1.55 inference(unit_resolution,[status(thm)],[477, 474, 13, 30, 50, 70, 412, 419, 426, 433, 440, 447, 454, 461])).
% 1.83/1.55 tff(479,plain,
% 1.83/1.55 (((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22))) <=> ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22))),
% 1.83/1.55 inference(rewrite,[status(thm)],[])).
% 1.83/1.55 tff(480,plain,
% 1.83/1.55 ((ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24))) <=> ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22))),
% 1.83/1.55 inference(rewrite,[status(thm)],[])).
% 1.83/1.55 tff(481,plain,
% 1.83/1.55 (((~![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, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22)))),
% 1.83/1.56 inference(monotonicity,[status(thm)],[480])).
% 1.83/1.56 tff(482,plain,
% 1.83/1.56 (((~![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, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22))),
% 1.83/1.56 inference(transitivity,[status(thm)],[481, 479])).
% 1.83/1.56 tff(483,plain,
% 1.83/1.56 ((~![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, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 1.83/1.56 inference(quant_inst,[status(thm)],[])).
% 1.83/1.56 tff(484,plain,
% 1.83/1.56 ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22)),
% 1.83/1.56 inference(modus_ponens,[status(thm)],[483, 482])).
% 1.83/1.56 tff(485,plain,
% 1.83/1.56 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22)),
% 1.83/1.56 inference(unit_resolution,[status(thm)],[484, 313, 13, 30, 50, 70, 412, 419, 426, 433, 440, 447, 454, 461])).
% 1.83/1.56 tff(486,plain,
% 1.83/1.56 (^[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))))),
% 1.83/1.56 inference(bind,[status(th)],[])).
% 1.83/1.56 tff(487,plain,
% 1.83/1.56 (![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)))),
% 1.83/1.56 inference(quant_intro,[status(thm)],[486])).
% 1.83/1.56 tff(488,plain,
% 1.83/1.56 (![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)))),
% 1.83/1.56 inference(rewrite,[status(thm)],[])).
% 1.83/1.56 tff(489,plain,
% 1.83/1.56 (^[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) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc27))) <=> ($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)))))),
% 1.83/1.56 inference(bind,[status(th)],[])).
% 1.83/1.56 tff(490,plain,
% 1.83/1.56 (![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)))),
% 1.83/1.56 inference(quant_intro,[status(thm)],[489])).
% 1.83/1.56 tff(491,plain,
% 1.83/1.56 (^[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)))))),
% 1.83/1.56 inference(bind,[status(th)],[])).
% 1.83/1.56 tff(492,plain,
% 1.83/1.56 (![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)))),
% 1.83/1.56 inference(quant_intro,[status(thm)],[491])).
% 1.83/1.56 tff(493,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','clause13')).
% 1.83/1.56 tff(494,plain,
% 1.83/1.56 (![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)))),
% 1.83/1.56 inference(modus_ponens,[status(thm)],[493, 492])).
% 1.83/1.56 tff(495,plain,
% 1.83/1.56 (![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)))),
% 1.83/1.56 inference(modus_ponens,[status(thm)],[494, 490])).
% 1.83/1.56 tff(496,plain,
% 1.83/1.56 (![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)))),
% 1.83/1.56 inference(modus_ponens,[status(thm)],[495, 488])).
% 1.83/1.56 tff(497,plain,(
% 1.83/1.56 ![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)))),
% 1.83/1.56 inference(skolemize,[status(sab)],[496])).
% 1.83/1.56 tff(498,plain,
% 1.83/1.56 (![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)))),
% 1.83/1.56 inference(modus_ponens,[status(thm)],[497, 487])).
% 1.83/1.56 tff(499,plain,
% 1.83/1.56 (((~![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, skc30)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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, skc30)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)))),
% 1.83/1.56 inference(rewrite,[status(thm)],[])).
% 1.83/1.56 tff(500,plain,
% 1.83/1.56 ((~![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, skc30)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)))),
% 1.83/1.56 inference(quant_inst,[status(thm)],[])).
% 1.83/1.56 tff(501,plain,
% 1.83/1.56 ((~![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, skc30)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27))),
% 1.83/1.56 inference(modus_ponens,[status(thm)],[500, 499])).
% 1.83/1.56 tff(502,plain,
% 1.83/1.56 (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)),
% 1.83/1.56 inference(unit_resolution,[status(thm)],[501, 498, 13, 30, 50, 70, 412])).
% 1.83/1.56 tff(503,plain,
% 1.83/1.56 (^[W: $i, V: $i, 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)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))),
% 1.83/1.56 inference(bind,[status(th)],[])).
% 1.83/1.56 tff(504,plain,
% 1.83/1.56 (![W: $i, V: $i, 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)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 1.83/1.56 inference(quant_intro,[status(thm)],[503])).
% 1.83/1.56 tff(505,plain,
% 1.83/1.56 (![W: $i, V: $i, 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)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 1.83/1.56 inference(rewrite,[status(thm)],[])).
% 1.83/1.56 tff(506,plain,
% 1.83/1.56 (^[W: $i, V: $i, 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) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ($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)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))))),
% 1.83/1.56 inference(bind,[status(th)],[])).
% 1.83/1.56 tff(507,plain,
% 1.83/1.56 (![W: $i, V: $i, 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)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 1.83/1.56 inference(quant_intro,[status(thm)],[506])).
% 1.83/1.56 tff(508,plain,
% 1.83/1.56 (^[W: $i, V: $i, 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((((~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~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)) | (~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)) | (~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_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~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)) | (~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)) | (~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)) | (~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_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)) | (~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)) | (~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_11r1r1r1r1r1r1r1r1r1r1r1(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)) | (~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)) | (~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)) | (~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)) | (~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_11r1r1r1r1r1r1r1r1r1r1r1(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)) | (~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)) | (~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_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssPv12_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)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~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_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~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_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssPv12_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)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~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_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~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)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~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_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssPv12_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_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~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_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssPv12_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_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~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_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssPv12_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_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~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_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssPv12_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_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~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_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssPv12_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_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~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_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssPv12_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_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~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_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssPv12_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_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~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_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssPv12_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_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~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_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssPv12_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_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~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_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssPv12_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_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~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_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssPv12_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_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~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_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssPv12_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_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~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_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssPv12_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))) | (~ssPv19_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssPv19_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)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~ssPv19_2r1r1(U, V))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~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_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssPv12_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))) | (~ssPv19_2r1r1(U, V))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~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_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssPv12_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))) | (~ssPv19_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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~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_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssPv12_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))) | (~ssPv19_2r1r1(U, V))) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~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_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssPv12_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))) | (~ssPv19_2r1r1(U, V))) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~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_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssPv12_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))) | (~ssPv19_2r1r1(U, V))) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~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_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssPv12_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))) | (~ssPv19_2r1r1(U, V))) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~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_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssPv12_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))) | (~ssPv19_2r1r1(U, V))) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~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_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssPv12_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))) | (~ssPv19_2r1r1(U, V))) | (~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)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | 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)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | 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)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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)) | (~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_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssPv12_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))) | (~ssPv19_2r1r1(U, V))) | (~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)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))))),
% 1.83/1.57 inference(bind,[status(th)],[])).
% 1.83/1.57 tff(509,plain,
% 1.83/1.57 (![W: $i, V: $i, 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)) | (~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_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssPv12_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))) | (~ssPv19_2r1r1(U, V))) | (~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, 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)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 1.83/1.57 inference(quant_intro,[status(thm)],[508])).
% 1.83/1.57 tff(510,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)) | (~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_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssPv12_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))) | (~ssPv19_2r1r1(U, V))) | (~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','clause46')).
% 1.83/1.57 tff(511,plain,
% 1.83/1.57 (![W: $i, V: $i, 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)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 1.83/1.57 inference(modus_ponens,[status(thm)],[510, 509])).
% 1.83/1.57 tff(512,plain,
% 1.83/1.57 (![W: $i, V: $i, 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)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 1.83/1.57 inference(modus_ponens,[status(thm)],[511, 507])).
% 1.83/1.57 tff(513,plain,
% 1.83/1.57 (![W: $i, V: $i, 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)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 1.83/1.57 inference(modus_ponens,[status(thm)],[512, 505])).
% 1.83/1.57 tff(514,plain,(
% 1.83/1.57 ![W: $i, V: $i, 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)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 1.83/1.57 inference(skolemize,[status(sab)],[513])).
% 1.83/1.57 tff(515,plain,
% 1.83/1.57 (![W: $i, V: $i, 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)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 1.83/1.57 inference(modus_ponens,[status(thm)],[514, 504])).
% 1.83/1.57 tff(516,plain,
% 1.83/1.57 (((~![W: $i, V: $i, 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)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22, skc20)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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, 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)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22, skc20)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 1.83/1.57 inference(rewrite,[status(thm)],[])).
% 1.83/1.57 tff(517,plain,
% 1.83/1.57 (((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22, skc20))) <=> ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22, skc20)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 1.83/1.57 inference(rewrite,[status(thm)],[])).
% 1.83/1.57 tff(518,plain,
% 1.83/1.57 (((~![W: $i, V: $i, 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)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22, 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)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22, skc20)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24))))),
% 1.88/1.58 inference(monotonicity,[status(thm)],[517])).
% 1.88/1.58 tff(519,plain,
% 1.88/1.58 (((~![W: $i, V: $i, 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)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22, 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)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22, skc20)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 1.88/1.58 inference(transitivity,[status(thm)],[518, 516])).
% 1.88/1.58 tff(520,plain,
% 1.88/1.58 ((~![W: $i, V: $i, 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)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22, skc20)))),
% 1.88/1.58 inference(quant_inst,[status(thm)],[])).
% 1.88/1.58 tff(521,plain,
% 1.88/1.58 ((~![W: $i, V: $i, 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)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1) | (~ssPv19_2r1r1(U, V)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc22, skc20)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24))),
% 1.88/1.58 inference(modus_ponens,[status(thm)],[520, 519])).
% 1.88/1.58 tff(522,plain,
% 1.88/1.58 ((~ssPv19_2r1r1(elem!0, elem!0)) | (~ssPv12_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24))),
% 1.88/1.58 inference(unit_resolution,[status(thm)],[521, 515, 13, 30, 50, 70, 412, 419, 502, 426, 433, 440, 447, 454, 461, 485, 478])).
% 1.88/1.58 tff(523,plain,
% 1.88/1.58 (~ssPv12_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)),
% 1.88/1.58 inference(unit_resolution,[status(thm)],[522, 405])).
% 1.88/1.58 tff(524,plain,
% 1.88/1.58 (((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 1.88/1.58 inference(rewrite,[status(thm)],[])).
% 1.88/1.58 tff(525,plain,
% 1.88/1.58 ((ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24))) <=> ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 1.88/1.58 inference(rewrite,[status(thm)],[])).
% 1.88/1.58 tff(526,plain,
% 1.88/1.58 (((~![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, skc30, skc28, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 1.88/1.59 inference(monotonicity,[status(thm)],[525])).
% 1.88/1.59 tff(527,plain,
% 1.88/1.59 (((~![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, skc30, skc28, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 1.88/1.59 inference(transitivity,[status(thm)],[526, 524])).
% 1.88/1.59 tff(528,plain,
% 1.88/1.59 ((~![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, skc30, skc28, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)))),
% 1.88/1.59 inference(quant_inst,[status(thm)],[])).
% 1.88/1.59 tff(529,plain,
% 1.88/1.59 ((~![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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23)),
% 1.88/1.59 inference(modus_ponens,[status(thm)],[528, 527])).
% 1.88/1.59 tff(530,plain,
% 1.88/1.59 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23)),
% 1.88/1.59 inference(unit_resolution,[status(thm)],[529, 313, 13, 30, 50, 70, 412, 419, 426, 433, 440, 447, 454, 461])).
% 1.88/1.59 tff(531,plain,
% 1.88/1.59 (((~![W: $i, V: $i, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 1.88/1.59 inference(rewrite,[status(thm)],[])).
% 1.88/1.59 tff(532,plain,
% 1.88/1.59 ((ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23))) <=> ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 1.88/1.59 inference(rewrite,[status(thm)],[])).
% 1.88/1.59 tff(533,plain,
% 1.88/1.59 (((~![W: $i, V: $i, 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, skc30, skc28, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23))))),
% 1.88/1.59 inference(monotonicity,[status(thm)],[532])).
% 1.88/1.59 tff(534,plain,
% 1.88/1.59 (((~![W: $i, V: $i, 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, skc30, skc28, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 1.88/1.59 inference(transitivity,[status(thm)],[533, 531])).
% 1.88/1.59 tff(535,plain,
% 1.88/1.59 ((~![W: $i, V: $i, 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, skc30, skc28, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 1.88/1.60 inference(quant_inst,[status(thm)],[])).
% 1.88/1.60 tff(536,plain,
% 1.88/1.60 ((~![W: $i, V: $i, 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_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 1.88/1.60 inference(modus_ponens,[status(thm)],[535, 534])).
% 1.88/1.60 tff(537,plain,
% 1.88/1.60 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)),
% 1.88/1.60 inference(unit_resolution,[status(thm)],[536, 351, 13, 30, 50, 70, 412, 419, 426, 433, 440, 447, 454, 461, 530])).
% 1.88/1.60 tff(538,plain,
% 1.88/1.60 (^[W: $i, V: $i, 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)))),
% 1.88/1.60 inference(bind,[status(th)],[])).
% 1.88/1.60 tff(539,plain,
% 1.88/1.60 (![W: $i, V: $i, 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))),
% 1.88/1.60 inference(quant_intro,[status(thm)],[538])).
% 1.88/1.60 tff(540,plain,
% 1.88/1.60 (![W: $i, V: $i, 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))),
% 1.88/1.60 inference(rewrite,[status(thm)],[])).
% 1.88/1.60 tff(541,plain,
% 1.88/1.60 (^[W: $i, V: $i, 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))))),
% 1.88/1.60 inference(bind,[status(th)],[])).
% 1.88/1.60 tff(542,plain,
% 1.88/1.60 (![W: $i, V: $i, 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))),
% 1.88/1.60 inference(quant_intro,[status(thm)],[541])).
% 1.88/1.60 tff(543,plain,
% 1.88/1.60 (^[W: $i, V: $i, 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))))),
% 1.88/1.60 inference(bind,[status(th)],[])).
% 1.88/1.60 tff(544,plain,
% 1.88/1.60 (![W: $i, V: $i, 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))),
% 1.88/1.60 inference(quant_intro,[status(thm)],[543])).
% 1.88/1.60 tff(545,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','clause38')).
% 1.88/1.60 tff(546,plain,
% 1.88/1.60 (![W: $i, V: $i, 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))),
% 1.88/1.60 inference(modus_ponens,[status(thm)],[545, 544])).
% 1.88/1.60 tff(547,plain,
% 1.88/1.60 (![W: $i, V: $i, 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))),
% 1.88/1.60 inference(modus_ponens,[status(thm)],[546, 542])).
% 1.88/1.60 tff(548,plain,
% 1.88/1.60 (![W: $i, V: $i, 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))),
% 1.88/1.60 inference(modus_ponens,[status(thm)],[547, 540])).
% 1.88/1.60 tff(549,plain,(
% 1.88/1.60 ![W: $i, V: $i, 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))),
% 1.88/1.60 inference(skolemize,[status(sab)],[548])).
% 1.88/1.60 tff(550,plain,
% 1.88/1.60 (![W: $i, V: $i, 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))),
% 1.88/1.60 inference(modus_ponens,[status(thm)],[549, 539])).
% 1.88/1.60 tff(551,plain,
% 1.88/1.60 (((~![W: $i, V: $i, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21, skc18))),
% 1.88/1.60 inference(rewrite,[status(thm)],[])).
% 1.88/1.60 tff(552,plain,
% 1.88/1.60 ((~![W: $i, V: $i, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21, skc18))),
% 1.88/1.61 inference(quant_inst,[status(thm)],[])).
% 1.88/1.61 tff(553,plain,
% 1.88/1.61 ((~![W: $i, V: $i, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21, skc18)),
% 1.88/1.61 inference(modus_ponens,[status(thm)],[552, 551])).
% 1.88/1.61 tff(554,plain,
% 1.88/1.61 (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21, skc18)),
% 1.88/1.61 inference(unit_resolution,[status(thm)],[553, 550, 13, 30, 50, 70, 412, 419, 426, 433, 440, 447, 454, 461, 530])).
% 1.88/1.61 tff(555,plain,
% 1.88/1.61 (^[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)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~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)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))),
% 1.88/1.61 inference(bind,[status(th)],[])).
% 1.88/1.61 tff(556,plain,
% 1.88/1.61 (![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)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~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)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))),
% 1.88/1.61 inference(quant_intro,[status(thm)],[555])).
% 1.88/1.61 tff(557,plain,
% 1.88/1.61 (![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)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~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)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))),
% 1.88/1.61 inference(rewrite,[status(thm)],[])).
% 1.88/1.61 tff(558,plain,
% 1.88/1.61 (^[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) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) <=> ($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)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~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)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~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)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~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)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~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)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))))),
% 1.88/1.61 inference(bind,[status(th)],[])).
% 1.88/1.61 tff(559,plain,
% 1.88/1.61 (![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)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~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)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))),
% 1.88/1.61 inference(quant_intro,[status(thm)],[558])).
% 1.88/1.61 tff(560,plain,
% 1.88/1.61 (^[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((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~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)) | (~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)) | (~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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~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)) | (~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)) | (~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)) | (~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_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)) | (~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)) | (~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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, 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)) | (~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)) | (~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)) | (~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)) | (~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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, 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)) | (~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)) | (~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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(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)) | (~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)) | (~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)) | (~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)) | (~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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(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)) | (~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)) | (~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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~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)) | (~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)) | (~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)) | (~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)) | (~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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~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)) | (~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)) | (~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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, 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)) | (~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)) | (~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)) | (~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)) | (~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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, 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)) | (~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)) | (~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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, 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)) | (~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)) | (~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)) | (~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)) | (~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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, 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)) | (~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)) | (~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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, 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)) | (~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)) | (~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)) | (~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)) | (~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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, 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)) | (~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)) | (~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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_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)) | (~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)) | (~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)) | (~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)) | (~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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_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)) | (~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)) | (~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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, 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)) | (~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)) | (~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)) | (~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)) | (~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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, 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)) | (~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)) | (~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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, 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)) | (~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)) | (~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)) | (~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)) | (~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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, 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)) | (~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)) | (~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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssPv19_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv19_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)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~ssPv19_2r1r1(U, V))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv19_2r1r1(U, V)) | (~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)) | (~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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssPv19_2r1r1(U, V))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv19_2r1r1(U, V)) | (~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)) | (~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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssPv19_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)) | (~ssPv19_2r1r1(U, V)) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~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)) | (~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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssPv19_2r1r1(U, V))) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~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)) | (~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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssPv19_2r1r1(U, V))) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~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)) | (~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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssPv19_2r1r1(U, V))) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~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)) | (~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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssPv19_2r1r1(U, V))) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~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)) | (~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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssPv19_2r1r1(U, V))) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~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)) | (~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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssPv19_2r1r1(U, V))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv12_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)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | ssPv12_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_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | ssPv12_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)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~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)) | (~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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssPv19_2r1r1(U, V))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv12_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)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~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)) | (~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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssPv19_2r1r1(U, V))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv12_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)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | 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)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | 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)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~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)) | (~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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssPv19_2r1r1(U, V))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv12_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)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, 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)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))))),
% 1.88/1.61 inference(bind,[status(th)],[])).
% 1.88/1.61 tff(561,plain,
% 1.88/1.61 (![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)) | (~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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssPv19_2r1r1(U, V))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) <=> ![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)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))),
% 1.88/1.61 inference(quant_intro,[status(thm)],[560])).
% 1.88/1.61 tff(562,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)) | (~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_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssPv19_2r1r1(U, V))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause50')).
% 1.88/1.61 tff(563,plain,
% 1.88/1.61 (![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)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))),
% 1.88/1.61 inference(modus_ponens,[status(thm)],[562, 561])).
% 1.88/1.61 tff(564,plain,
% 1.88/1.61 (![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)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))),
% 1.88/1.61 inference(modus_ponens,[status(thm)],[563, 559])).
% 1.88/1.61 tff(565,plain,
% 1.88/1.61 (![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)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))),
% 1.88/1.61 inference(modus_ponens,[status(thm)],[564, 557])).
% 1.88/1.61 tff(566,plain,(
% 1.88/1.61 ![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)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))),
% 1.88/1.61 inference(skolemize,[status(sab)],[565])).
% 1.88/1.61 tff(567,plain,
% 1.88/1.61 (![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)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))),
% 1.88/1.61 inference(modus_ponens,[status(thm)],[566, 556])).
% 1.88/1.61 tff(568,plain,
% 1.88/1.61 (((~![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)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))) | ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | ssPv12_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21, skc18)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))) <=> ((~![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)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | ssPv12_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21, skc18)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 1.88/1.62 inference(rewrite,[status(thm)],[])).
% 1.88/1.62 tff(569,plain,
% 1.88/1.62 (((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | (~ssPv19_2r1r1(elem!0, elem!0)) | ssPv12_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21, skc18))) <=> ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | ssPv12_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21, skc18)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 1.88/1.62 inference(rewrite,[status(thm)],[])).
% 1.88/1.62 tff(570,plain,
% 1.88/1.62 (((~![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)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | (~ssPv19_2r1r1(elem!0, elem!0)) | ssPv12_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21, 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)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))) | ((~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | ssPv12_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21, skc18)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23))))),
% 1.88/1.62 inference(monotonicity,[status(thm)],[569])).
% 1.88/1.62 tff(571,plain,
% 1.88/1.62 (((~![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)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | (~ssPv19_2r1r1(elem!0, elem!0)) | ssPv12_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21, 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)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | ssPv12_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21, skc18)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23)))),
% 1.88/1.62 inference(transitivity,[status(thm)],[570, 568])).
% 1.88/1.62 tff(572,plain,
% 1.88/1.62 ((~![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)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | (~ssPv19_2r1r1(elem!0, elem!0)) | ssPv12_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21, skc18)))),
% 1.88/1.62 inference(quant_inst,[status(thm)],[])).
% 1.88/1.62 tff(573,plain,
% 1.88/1.62 ((~![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)) | (~ssPv19_2r1r1(U, V)) | ssPv12_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3) | ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24)) | ssPv12_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21, skc18)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23))),
% 1.88/1.63 inference(modus_ponens,[status(thm)],[572, 571])).
% 1.88/1.63 tff(574,plain,
% 1.88/1.63 ((~ssPv19_2r1r1(elem!0, elem!0)) | ssPv12_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)),
% 1.88/1.63 inference(unit_resolution,[status(thm)],[573, 567, 13, 30, 50, 70, 412, 419, 426, 433, 440, 447, 454, 461, 530, 554])).
% 1.88/1.63 tff(575,plain,
% 1.88/1.63 ((~ssPv19_2r1r1(elem!0, elem!0)) | ssPv12_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25, skc24) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)),
% 1.88/1.63 inference(unit_resolution,[status(thm)],[574, 537])).
% 1.88/1.63 tff(576,plain,
% 1.88/1.63 (ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)),
% 1.88/1.63 inference(unit_resolution,[status(thm)],[575, 405, 523])).
% 1.88/1.63 tff(577,plain,
% 1.88/1.63 (^[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)) | (~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))))),
% 1.88/1.63 inference(bind,[status(th)],[])).
% 1.88/1.63 tff(578,plain,
% 1.88/1.63 (![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)) | (~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)))),
% 1.88/1.63 inference(quant_intro,[status(thm)],[577])).
% 1.88/1.63 tff(579,plain,
% 1.88/1.63 (![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)) | (~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)))),
% 1.88/1.63 inference(rewrite,[status(thm)],[])).
% 1.88/1.63 tff(580,plain,
% 1.88/1.63 (^[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) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25))) <=> ($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)))))),
% 1.88/1.63 inference(bind,[status(th)],[])).
% 1.88/1.63 tff(581,plain,
% 1.88/1.63 (![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)) | (~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)))),
% 1.88/1.63 inference(quant_intro,[status(thm)],[580])).
% 1.88/1.63 tff(582,plain,
% 1.88/1.63 (^[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(((~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)))))),
% 1.88/1.63 inference(bind,[status(th)],[])).
% 1.88/1.63 tff(583,plain,
% 1.88/1.63 (![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)))),
% 1.88/1.63 inference(quant_intro,[status(thm)],[582])).
% 1.88/1.63 tff(584,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','clause16')).
% 1.88/1.63 tff(585,plain,
% 1.88/1.63 (![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)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))),
% 1.88/1.63 inference(modus_ponens,[status(thm)],[584, 583])).
% 1.88/1.63 tff(586,plain,
% 1.88/1.63 (![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)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))),
% 1.88/1.63 inference(modus_ponens,[status(thm)],[585, 581])).
% 1.88/1.63 tff(587,plain,
% 1.88/1.63 (![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)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))),
% 1.88/1.63 inference(modus_ponens,[status(thm)],[586, 579])).
% 1.88/1.63 tff(588,plain,(
% 1.88/1.63 ![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)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))),
% 1.88/1.63 inference(skolemize,[status(sab)],[587])).
% 1.88/1.63 tff(589,plain,
% 1.88/1.63 (![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)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))),
% 1.88/1.63 inference(modus_ponens,[status(thm)],[588, 578])).
% 1.88/1.63 tff(590,plain,
% 1.88/1.63 (((~![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)) | (~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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)))),
% 1.88/1.63 inference(rewrite,[status(thm)],[])).
% 1.88/1.63 tff(591,plain,
% 1.88/1.63 ((~![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)) | (~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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25)))),
% 1.88/1.63 inference(quant_inst,[status(thm)],[])).
% 1.88/1.63 tff(592,plain,
% 1.88/1.63 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, skc25)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc28, skc27, skc25))),
% 1.88/1.65 inference(modus_ponens,[status(thm)],[591, 590])).
% 1.88/1.65 tff(593,plain,
% 1.88/1.65 ($false),
% 1.88/1.65 inference(unit_resolution,[status(thm)],[592, 589, 13, 30, 50, 70, 412, 419, 576])).
% 1.88/1.65 % SZS output end Proof
%------------------------------------------------------------------------------