TSTP Solution File: SYN869-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN869-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n025.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 23:57:36 EDT 2022
% Result : Unsatisfiable 1.10s 0.95s
% Output : Proof 1.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN869-1 : TPTP v8.1.0. Released v2.5.0.
% 0.14/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Sep 5 08:59:04 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.20/0.34 Usage: tptp [options] [-file:]file
% 0.20/0.34 -h, -? prints this message.
% 0.20/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.20/0.34 -m, -model generate model.
% 0.20/0.34 -p, -proof generate proof.
% 0.20/0.34 -c, -core generate unsat core of named formulas.
% 0.20/0.34 -st, -statistics display statistics.
% 0.20/0.34 -t:timeout set timeout (in second).
% 0.20/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.20/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.20/0.34 -<param>:<value> configuration parameter and value.
% 0.20/0.34 -o:<output-file> file to place output in.
% 1.10/0.95 % SZS status Unsatisfiable
% 1.10/0.95 % SZS output start Proof
% 1.10/0.95 tff(ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 1.10/0.95 ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 1.10/0.95 tff(skc19_type, type, (
% 1.10/0.95 skc19: $i)).
% 1.10/0.95 tff(skc21_type, type, (
% 1.10/0.95 skc21: $i)).
% 1.10/0.95 tff(skc23_type, type, (
% 1.10/0.95 skc23: $i)).
% 1.10/0.95 tff(skc24_type, type, (
% 1.10/0.95 skc24: $i)).
% 1.10/0.95 tff(skc27_type, type, (
% 1.10/0.95 skc27: $i)).
% 1.10/0.95 tff(skc28_type, type, (
% 1.10/0.95 skc28: $i)).
% 1.10/0.95 tff(skc31_type, type, (
% 1.10/0.95 skc31: $i)).
% 1.10/0.95 tff(elem_0_type, type, (
% 1.10/0.95 elem_0: $i)).
% 1.10/0.95 tff(ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 1.10/0.95 ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 1.10/0.95 tff(ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 1.10/0.95 ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 1.10/0.95 tff(ssNder1_11r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 1.10/0.95 ssNder1_11r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 1.10/0.95 tff(ssNder1_10r1r1r1r1r1r1r1r1r1r1_type, type, (
% 1.10/0.95 ssNder1_10r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 1.10/0.95 tff(ssNder1_9r1r1r1r1r1r1r1r1r1_type, type, (
% 1.10/0.95 ssNder1_9r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 1.10/0.95 tff(ssNder1_8r1r1r1r1r1r1r1r1_type, type, (
% 1.10/0.95 ssNder1_8r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 1.10/0.95 tff(ssNder1_7r1r1r1r1r1r1r1_type, type, (
% 1.10/0.95 ssNder1_7r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 1.10/0.95 tff(ssNder1_6r1r1r1r1r1r1_type, type, (
% 1.10/0.95 ssNder1_6r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i ) > $o)).
% 1.10/0.95 tff(ssNder1_5r1r1r1r1r1_type, type, (
% 1.10/0.95 ssNder1_5r1r1r1r1r1: ( $i * $i * $i * $i * $i ) > $o)).
% 1.10/0.95 tff(ssNder1_4r1r1r1r1_type, type, (
% 1.10/0.95 ssNder1_4r1r1r1r1: ( $i * $i * $i * $i ) > $o)).
% 1.10/0.95 tff(ssNder1_3r1r1r1_type, type, (
% 1.10/0.95 ssNder1_3r1r1r1: ( $i * $i * $i ) > $o)).
% 1.10/0.95 tff(ssNder1_2r1r1_type, type, (
% 1.10/0.95 ssNder1_2r1r1: ( $i * $i ) > $o)).
% 1.10/0.95 tff(ssNder1_1r1_type, type, (
% 1.10/0.95 ssNder1_1r1: $i > $o)).
% 1.10/0.95 tff(ssNder1_0_type, type, (
% 1.10/0.95 ssNder1_0: $o)).
% 1.10/0.95 tff(ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 1.10/0.95 ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 1.10/0.95 tff(ssPv19_2r1r1_type, type, (
% 1.10/0.95 ssPv19_2r1r1: ( $i * $i ) > $o)).
% 1.10/0.95 tff(ssPv10_11r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 1.10/0.95 ssPv10_11r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 1.10/0.95 tff(skc26_type, type, (
% 1.10/0.95 skc26: $i)).
% 1.10/0.95 tff(skc29_type, type, (
% 1.10/0.95 skc29: $i)).
% 1.10/0.95 tff(skc22_type, type, (
% 1.10/0.95 skc22: $i)).
% 1.10/0.95 tff(ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 1.10/0.95 ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 1.10/0.95 tff(skc20_type, type, (
% 1.10/0.95 skc20: $i)).
% 1.10/0.95 tff(ssPv14_7r1r1r1r1r1r1r1_type, type, (
% 1.10/0.95 ssPv14_7r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 1.10/0.95 tff(ssPv13_8r1r1r1r1r1r1r1r1_type, type, (
% 1.10/0.95 ssPv13_8r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 1.10/0.95 tff(ssPv16_5r1r1r1r1r1_type, type, (
% 1.10/0.95 ssPv16_5r1r1r1r1r1: ( $i * $i * $i * $i * $i ) > $o)).
% 1.10/0.95 tff(ssPv20_1r1_type, type, (
% 1.10/0.95 ssPv20_1r1: $i > $o)).
% 1.10/0.95 tff(ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 1.10/0.95 ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 1.10/0.95 tff(skc30_type, type, (
% 1.10/0.95 skc30: $i)).
% 1.10/0.95 tff(ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, (
% 1.10/0.95 ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 1.10/0.95 tff(1,assumption,(ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19)), introduced(assumption)).
% 1.10/0.95 tff(2,plain,
% 1.10/0.95 (^[U: $i] : refl(ssNder1_1r1(U) <=> ssNder1_1r1(U))),
% 1.10/0.95 inference(bind,[status(th)],[])).
% 1.10/0.95 tff(3,plain,
% 1.10/0.95 (![U: $i] : ssNder1_1r1(U) <=> ![U: $i] : ssNder1_1r1(U)),
% 1.10/0.95 inference(quant_intro,[status(thm)],[2])).
% 1.10/0.95 tff(4,plain,
% 1.10/0.95 (![U: $i] : ssNder1_1r1(U) <=> ![U: $i] : ssNder1_1r1(U)),
% 1.10/0.95 inference(rewrite,[status(thm)],[])).
% 1.10/0.95 tff(5,plain,
% 1.10/0.95 (^[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)))),
% 1.10/0.95 inference(bind,[status(th)],[])).
% 1.10/0.95 tff(6,plain,
% 1.10/0.95 (![U: $i] : ((~ssNder1_0) | ssNder1_1r1(U)) <=> ![U: $i] : ssNder1_1r1(U)),
% 1.10/0.95 inference(quant_intro,[status(thm)],[5])).
% 1.10/0.95 tff(7,axiom,(![U: $i] : ((~ssNder1_0) | ssNder1_1r1(U))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause2')).
% 1.10/0.95 tff(8,plain,
% 1.10/0.95 (![U: $i] : ssNder1_1r1(U)),
% 1.10/0.95 inference(modus_ponens,[status(thm)],[7, 6])).
% 1.10/0.95 tff(9,plain,
% 1.10/0.95 (![U: $i] : ssNder1_1r1(U)),
% 1.10/0.95 inference(modus_ponens,[status(thm)],[8, 4])).
% 1.10/0.95 tff(10,plain,(
% 1.10/0.95 ![U: $i] : ssNder1_1r1(U)),
% 1.10/0.95 inference(skolemize,[status(sab)],[9])).
% 1.10/0.95 tff(11,plain,
% 1.10/0.95 (![U: $i] : ssNder1_1r1(U)),
% 1.10/0.95 inference(modus_ponens,[status(thm)],[10, 3])).
% 1.10/0.95 tff(12,plain,
% 1.10/0.95 ((~![U: $i] : ssNder1_1r1(U)) | ssNder1_1r1(elem!0)),
% 1.10/0.95 inference(quant_inst,[status(thm)],[])).
% 1.10/0.95 tff(13,plain,
% 1.10/0.95 (ssNder1_1r1(elem!0)),
% 1.10/0.95 inference(unit_resolution,[status(thm)],[12, 11])).
% 1.10/0.95 tff(14,plain,
% 1.10/0.95 (^[V: $i, U: $i] : refl((ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U))) <=> (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U))))),
% 1.10/0.95 inference(bind,[status(th)],[])).
% 1.10/0.95 tff(15,plain,
% 1.10/0.95 (![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U))) <=> ![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))),
% 1.10/0.95 inference(quant_intro,[status(thm)],[14])).
% 1.10/0.95 tff(16,plain,
% 1.10/0.95 (![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U))) <=> ![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))),
% 1.10/0.95 inference(rewrite,[status(thm)],[])).
% 1.10/0.95 tff(17,plain,
% 1.10/0.95 (^[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)))))),
% 1.10/0.95 inference(bind,[status(th)],[])).
% 1.10/0.95 tff(18,plain,
% 1.10/0.95 (![V: $i, U: $i] : ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U))) <=> ![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))),
% 1.10/0.95 inference(quant_intro,[status(thm)],[17])).
% 1.10/0.95 tff(19,plain,
% 1.10/0.95 (^[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)))))),
% 1.10/0.95 inference(bind,[status(th)],[])).
% 1.10/0.95 tff(20,plain,
% 1.10/0.95 (![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)))),
% 1.10/0.95 inference(quant_intro,[status(thm)],[19])).
% 1.10/0.95 tff(21,axiom,(![V: $i, U: $i] : (((~ssNder1_1r1(U)) | (~ssNder1_0)) | ssNder1_2r1r1(U, V))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause3')).
% 1.10/0.95 tff(22,plain,
% 1.10/0.95 (![V: $i, U: $i] : ((~ssNder1_0) | ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))),
% 1.10/0.95 inference(modus_ponens,[status(thm)],[21, 20])).
% 1.10/0.95 tff(23,plain,
% 1.10/0.95 (![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))),
% 1.10/0.95 inference(modus_ponens,[status(thm)],[22, 18])).
% 1.10/0.95 tff(24,plain,
% 1.10/0.95 (![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))),
% 1.10/0.95 inference(modus_ponens,[status(thm)],[23, 16])).
% 1.10/0.95 tff(25,plain,(
% 1.10/0.95 ![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))),
% 1.10/0.95 inference(skolemize,[status(sab)],[24])).
% 1.10/0.95 tff(26,plain,
% 1.10/0.95 (![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))),
% 1.10/0.95 inference(modus_ponens,[status(thm)],[25, 15])).
% 1.10/0.95 tff(27,plain,
% 1.10/0.95 (((~![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)))),
% 1.10/0.95 inference(rewrite,[status(thm)],[])).
% 1.10/0.95 tff(28,plain,
% 1.10/0.95 ((~![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))) | (ssNder1_2r1r1(elem!0, elem!0) | (~ssNder1_1r1(elem!0)))),
% 1.10/0.95 inference(quant_inst,[status(thm)],[])).
% 1.10/0.95 tff(29,plain,
% 1.10/0.95 ((~![V: $i, U: $i] : (ssNder1_2r1r1(U, V) | (~ssNder1_1r1(U)))) | ssNder1_2r1r1(elem!0, elem!0) | (~ssNder1_1r1(elem!0))),
% 1.10/0.95 inference(modus_ponens,[status(thm)],[28, 27])).
% 1.10/0.95 tff(30,plain,
% 1.10/0.95 (ssNder1_2r1r1(elem!0, elem!0)),
% 1.10/0.95 inference(unit_resolution,[status(thm)],[29, 26, 13])).
% 1.10/0.95 tff(31,plain,
% 1.10/0.95 (^[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))))),
% 1.10/0.95 inference(bind,[status(th)],[])).
% 1.10/0.95 tff(32,plain,
% 1.10/0.95 (![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)))),
% 1.10/0.95 inference(quant_intro,[status(thm)],[31])).
% 1.10/0.95 tff(33,plain,
% 1.10/0.95 (![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)))),
% 1.10/0.95 inference(rewrite,[status(thm)],[])).
% 1.10/0.95 tff(34,plain,
% 1.10/0.95 (^[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)))))),
% 1.10/0.95 inference(bind,[status(th)],[])).
% 1.10/0.95 tff(35,plain,
% 1.10/0.95 (![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)))),
% 1.10/0.95 inference(quant_intro,[status(thm)],[34])).
% 1.10/0.95 tff(36,plain,
% 1.10/0.95 (^[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)))))),
% 1.10/0.95 inference(bind,[status(th)],[])).
% 1.10/0.95 tff(37,plain,
% 1.10/0.95 (![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)))),
% 1.10/0.95 inference(quant_intro,[status(thm)],[36])).
% 1.10/0.95 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')).
% 1.10/0.95 tff(39,plain,
% 1.10/0.95 (![W: $i, V: $i, U: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))),
% 1.10/0.95 inference(modus_ponens,[status(thm)],[38, 37])).
% 1.10/0.95 tff(40,plain,
% 1.10/0.95 (![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))),
% 1.10/0.95 inference(modus_ponens,[status(thm)],[39, 35])).
% 1.10/0.95 tff(41,plain,
% 1.10/0.95 (![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))),
% 1.10/0.95 inference(modus_ponens,[status(thm)],[40, 33])).
% 1.10/0.95 tff(42,plain,(
% 1.10/0.95 ![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))),
% 1.10/0.95 inference(skolemize,[status(sab)],[41])).
% 1.10/0.95 tff(43,plain,
% 1.10/0.95 (![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))),
% 1.10/0.95 inference(modus_ponens,[status(thm)],[42, 32])).
% 1.10/0.95 tff(44,plain,
% 1.10/0.95 (((~![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))) | ((~ssNder1_1r1(elem!0)) | ssNder1_3r1r1r1(elem!0, elem!0, elem!0) | (~ssNder1_2r1r1(elem!0, elem!0)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssNder1_1r1(U)) | ssNder1_3r1r1r1(U, V, W) | (~ssNder1_2r1r1(U, V)))) | (~ssNder1_1r1(elem!0)) | ssNder1_3r1r1r1(elem!0, elem!0, elem!0) | (~ssNder1_2r1r1(elem!0, elem!0)))),
% 1.10/0.95 inference(rewrite,[status(thm)],[])).
% 1.10/0.95 tff(45,plain,
% 1.10/0.95 ((~![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)))),
% 1.10/0.95 inference(quant_inst,[status(thm)],[])).
% 1.10/0.95 tff(46,plain,
% 1.10/0.95 ((~![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))),
% 1.10/0.95 inference(modus_ponens,[status(thm)],[45, 44])).
% 1.10/0.95 tff(47,plain,
% 1.10/0.95 (ssNder1_3r1r1r1(elem!0, elem!0, elem!0)),
% 1.10/0.95 inference(unit_resolution,[status(thm)],[46, 43, 13, 30])).
% 1.10/0.95 tff(48,plain,
% 1.10/0.95 (^[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))))),
% 1.10/0.95 inference(bind,[status(th)],[])).
% 1.10/0.95 tff(49,plain,
% 1.10/0.95 (![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)))),
% 1.10/0.95 inference(quant_intro,[status(thm)],[48])).
% 1.10/0.95 tff(50,plain,
% 1.10/0.95 (![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)))),
% 1.10/0.95 inference(rewrite,[status(thm)],[])).
% 1.10/0.95 tff(51,plain,
% 1.10/0.95 (^[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)))))),
% 1.10/0.95 inference(bind,[status(th)],[])).
% 1.10/0.95 tff(52,plain,
% 1.10/0.95 (![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)))),
% 1.10/0.95 inference(quant_intro,[status(thm)],[51])).
% 1.10/0.95 tff(53,plain,
% 1.10/0.95 (^[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)))))),
% 1.10/0.95 inference(bind,[status(th)],[])).
% 1.10/0.95 tff(54,plain,
% 1.10/0.95 (![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)))),
% 1.10/0.95 inference(quant_intro,[status(thm)],[53])).
% 1.10/0.95 tff(55,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')).
% 1.10/0.95 tff(56,plain,
% 1.10/0.95 (![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)))),
% 1.10/0.95 inference(modus_ponens,[status(thm)],[55, 54])).
% 1.10/0.95 tff(57,plain,
% 1.10/0.95 (![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)))),
% 1.10/0.95 inference(modus_ponens,[status(thm)],[56, 52])).
% 1.10/0.95 tff(58,plain,
% 1.10/0.95 (![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)))),
% 1.10/0.95 inference(modus_ponens,[status(thm)],[57, 50])).
% 1.10/0.96 tff(59,plain,(
% 1.10/0.96 ![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)))),
% 1.10/0.96 inference(skolemize,[status(sab)],[58])).
% 1.10/0.96 tff(60,plain,
% 1.10/0.96 (![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)))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[59, 49])).
% 1.10/0.96 tff(61,plain,
% 1.10/0.96 (((~![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)))),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(62,plain,
% 1.10/0.96 ((ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0))) <=> ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)))),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(63,plain,
% 1.10/0.96 (((~![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))) | (ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0))))),
% 1.10/0.96 inference(monotonicity,[status(thm)],[62])).
% 1.10/0.96 tff(64,plain,
% 1.10/0.96 (((~![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))) | (ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)))),
% 1.10/0.96 inference(transitivity,[status(thm)],[63, 61])).
% 1.10/0.96 tff(65,plain,
% 1.10/0.96 ((~![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)))),
% 1.10/0.96 inference(quant_inst,[status(thm)],[])).
% 1.10/0.96 tff(66,plain,
% 1.10/0.96 ((~![W: $i, V: $i, U: $i, X: $i] : (ssNder1_4r1r1r1r1(U, V, W, X) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[65, 64])).
% 1.10/0.96 tff(67,plain,
% 1.10/0.96 (ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)),
% 1.10/0.96 inference(unit_resolution,[status(thm)],[66, 60, 13, 30, 47])).
% 1.10/0.96 tff(68,plain,
% 1.10/0.96 (^[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))))),
% 1.10/0.96 inference(bind,[status(th)],[])).
% 1.10/0.96 tff(69,plain,
% 1.10/0.96 (![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)))),
% 1.10/0.96 inference(quant_intro,[status(thm)],[68])).
% 1.10/0.96 tff(70,plain,
% 1.10/0.96 (![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)))),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(71,plain,
% 1.10/0.96 (^[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)))))),
% 1.10/0.96 inference(bind,[status(th)],[])).
% 1.10/0.96 tff(72,plain,
% 1.10/0.96 (![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)))),
% 1.10/0.96 inference(quant_intro,[status(thm)],[71])).
% 1.10/0.96 tff(73,plain,
% 1.10/0.96 (^[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)))))),
% 1.10/0.96 inference(bind,[status(th)],[])).
% 1.10/0.96 tff(74,plain,
% 1.10/0.96 (![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)))),
% 1.10/0.96 inference(quant_intro,[status(thm)],[73])).
% 1.10/0.96 tff(75,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')).
% 1.10/0.96 tff(76,plain,
% 1.10/0.96 (![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)))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[75, 74])).
% 1.10/0.96 tff(77,plain,
% 1.10/0.96 (![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)))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[76, 72])).
% 1.10/0.96 tff(78,plain,
% 1.10/0.96 (![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)))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[77, 70])).
% 1.10/0.96 tff(79,plain,(
% 1.10/0.96 ![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)))),
% 1.10/0.96 inference(skolemize,[status(sab)],[78])).
% 1.10/0.96 tff(80,plain,
% 1.10/0.96 (![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)))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[79, 69])).
% 1.10/0.96 tff(81,plain,
% 1.10/0.96 (((~![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_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_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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(82,plain,
% 1.10/0.96 (((~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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(83,plain,
% 1.10/0.96 (((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))),
% 1.10/0.96 inference(monotonicity,[status(thm)],[82])).
% 1.10/0.96 tff(84,plain,
% 1.10/0.96 (((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))),
% 1.10/0.96 inference(transitivity,[status(thm)],[83, 81])).
% 1.10/0.96 tff(85,plain,
% 1.10/0.96 ((~![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)))),
% 1.10/0.96 inference(quant_inst,[status(thm)],[])).
% 1.10/0.96 tff(86,plain,
% 1.10/0.96 ((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[85, 84])).
% 1.10/0.96 tff(87,plain,
% 1.10/0.96 (ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)),
% 1.10/0.96 inference(unit_resolution,[status(thm)],[86, 80, 13, 30, 47, 67])).
% 1.10/0.96 tff(88,plain,
% 1.10/0.96 (^[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))))),
% 1.10/0.96 inference(bind,[status(th)],[])).
% 1.10/0.96 tff(89,plain,
% 1.10/0.96 (![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)))),
% 1.10/0.96 inference(quant_intro,[status(thm)],[88])).
% 1.10/0.96 tff(90,plain,
% 1.10/0.96 (![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)))),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(91,plain,
% 1.10/0.96 (^[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)))))),
% 1.10/0.96 inference(bind,[status(th)],[])).
% 1.10/0.96 tff(92,plain,
% 1.10/0.96 (![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)))),
% 1.10/0.96 inference(quant_intro,[status(thm)],[91])).
% 1.10/0.96 tff(93,plain,
% 1.10/0.96 (^[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)))))),
% 1.10/0.96 inference(bind,[status(th)],[])).
% 1.10/0.96 tff(94,plain,
% 1.10/0.96 (![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)))),
% 1.10/0.96 inference(quant_intro,[status(thm)],[93])).
% 1.10/0.96 tff(95,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')).
% 1.10/0.96 tff(96,plain,
% 1.10/0.96 (![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)))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[95, 94])).
% 1.10/0.96 tff(97,plain,
% 1.10/0.96 (![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)))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[96, 92])).
% 1.10/0.96 tff(98,plain,
% 1.10/0.96 (![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)))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[97, 90])).
% 1.10/0.96 tff(99,plain,(
% 1.10/0.96 ![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)))),
% 1.10/0.96 inference(skolemize,[status(sab)],[98])).
% 1.10/0.96 tff(100,plain,
% 1.10/0.96 (![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)))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[99, 89])).
% 1.10/0.96 tff(101,plain,
% 1.10/0.96 (((~![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_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_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_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_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(102,plain,
% 1.10/0.96 (((~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_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_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(103,plain,
% 1.10/0.96 (((~![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_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_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))))),
% 1.10/0.96 inference(monotonicity,[status(thm)],[102])).
% 1.10/0.96 tff(104,plain,
% 1.10/0.96 (((~![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_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_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))),
% 1.10/0.96 inference(transitivity,[status(thm)],[103, 101])).
% 1.10/0.96 tff(105,plain,
% 1.10/0.96 ((~![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)))),
% 1.10/0.96 inference(quant_inst,[status(thm)],[])).
% 1.10/0.96 tff(106,plain,
% 1.10/0.96 ((~![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_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_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[105, 104])).
% 1.10/0.96 tff(107,plain,
% 1.10/0.96 (ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)),
% 1.10/0.96 inference(unit_resolution,[status(thm)],[106, 100, 13, 30, 47, 67, 87])).
% 1.10/0.96 tff(108,plain,
% 1.10/0.96 (^[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))))),
% 1.10/0.96 inference(bind,[status(th)],[])).
% 1.10/0.96 tff(109,plain,
% 1.10/0.96 (![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)))),
% 1.10/0.96 inference(quant_intro,[status(thm)],[108])).
% 1.10/0.96 tff(110,plain,
% 1.10/0.96 (![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)))),
% 1.10/0.96 inference(rewrite,[status(thm)],[])).
% 1.10/0.96 tff(111,plain,
% 1.10/0.96 (^[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)))))),
% 1.10/0.96 inference(bind,[status(th)],[])).
% 1.10/0.96 tff(112,plain,
% 1.10/0.96 (![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)))),
% 1.10/0.96 inference(quant_intro,[status(thm)],[111])).
% 1.10/0.96 tff(113,plain,
% 1.10/0.96 (^[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)))))),
% 1.10/0.96 inference(bind,[status(th)],[])).
% 1.10/0.96 tff(114,plain,
% 1.10/0.96 (![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)))),
% 1.10/0.96 inference(quant_intro,[status(thm)],[113])).
% 1.10/0.96 tff(115,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')).
% 1.10/0.96 tff(116,plain,
% 1.10/0.96 (![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)))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[115, 114])).
% 1.10/0.96 tff(117,plain,
% 1.10/0.96 (![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)))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[116, 112])).
% 1.10/0.96 tff(118,plain,
% 1.10/0.96 (![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)))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[117, 110])).
% 1.10/0.96 tff(119,plain,(
% 1.10/0.96 ![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)))),
% 1.10/0.96 inference(skolemize,[status(sab)],[118])).
% 1.10/0.96 tff(120,plain,
% 1.10/0.96 (![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)))),
% 1.10/0.96 inference(modus_ponens,[status(thm)],[119, 109])).
% 1.10/0.96 tff(121,plain,
% 1.10/0.96 (((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27) | (~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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)))),
% 1.10/0.97 inference(rewrite,[status(thm)],[])).
% 1.10/0.97 tff(122,plain,
% 1.10/0.97 ((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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)))),
% 1.10/0.97 inference(rewrite,[status(thm)],[])).
% 1.10/0.97 tff(123,plain,
% 1.10/0.97 (((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28))))),
% 1.10/0.97 inference(monotonicity,[status(thm)],[122])).
% 1.10/0.97 tff(124,plain,
% 1.10/0.97 (((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)))),
% 1.10/0.97 inference(transitivity,[status(thm)],[123, 121])).
% 1.10/0.97 tff(125,plain,
% 1.10/0.97 ((~![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)))),
% 1.10/0.97 inference(quant_inst,[status(thm)],[])).
% 1.10/0.97 tff(126,plain,
% 1.10/0.97 ((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[125, 124])).
% 1.10/0.97 tff(127,plain,
% 1.10/0.97 (ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)),
% 1.10/0.97 inference(unit_resolution,[status(thm)],[126, 120, 13, 30, 47, 67, 87, 107])).
% 1.10/0.97 tff(128,plain,
% 1.10/0.97 (^[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))))),
% 1.10/0.97 inference(bind,[status(th)],[])).
% 1.10/0.97 tff(129,plain,
% 1.10/0.97 (![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)))),
% 1.10/0.97 inference(quant_intro,[status(thm)],[128])).
% 1.10/0.97 tff(130,plain,
% 1.10/0.97 (![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)))),
% 1.10/0.97 inference(rewrite,[status(thm)],[])).
% 1.10/0.97 tff(131,plain,
% 1.10/0.97 (^[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)))))),
% 1.10/0.97 inference(bind,[status(th)],[])).
% 1.10/0.97 tff(132,plain,
% 1.10/0.97 (![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)))),
% 1.10/0.97 inference(quant_intro,[status(thm)],[131])).
% 1.10/0.97 tff(133,plain,
% 1.10/0.97 (^[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)))))),
% 1.10/0.97 inference(bind,[status(th)],[])).
% 1.10/0.97 tff(134,plain,
% 1.10/0.97 (![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)))),
% 1.10/0.97 inference(quant_intro,[status(thm)],[133])).
% 1.10/0.97 tff(135,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')).
% 1.10/0.97 tff(136,plain,
% 1.10/0.97 (![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)))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[135, 134])).
% 1.10/0.97 tff(137,plain,
% 1.10/0.97 (![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)))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[136, 132])).
% 1.10/0.97 tff(138,plain,
% 1.10/0.97 (![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)))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[137, 130])).
% 1.10/0.97 tff(139,plain,(
% 1.10/0.97 ![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)))),
% 1.10/0.97 inference(skolemize,[status(sab)],[138])).
% 1.10/0.97 tff(140,plain,
% 1.10/0.97 (![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)))),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[139, 129])).
% 1.10/0.97 tff(141,plain,
% 1.10/0.97 (((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | ssNder1_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_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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24))),
% 1.10/0.97 inference(rewrite,[status(thm)],[])).
% 1.10/0.97 tff(142,plain,
% 1.10/0.97 ((ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, 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, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27))) <=> ((~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24))),
% 1.10/0.97 inference(rewrite,[status(thm)],[])).
% 1.10/0.97 tff(143,plain,
% 1.10/0.97 (((~![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, skc28, 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, skc28)) | (~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_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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)))),
% 1.10/0.97 inference(monotonicity,[status(thm)],[142])).
% 1.10/0.97 tff(144,plain,
% 1.10/0.97 (((~![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, skc28, 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, skc28)) | (~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_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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24))),
% 1.10/0.97 inference(transitivity,[status(thm)],[143, 141])).
% 1.10/0.97 tff(145,plain,
% 1.10/0.97 ((~![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, skc28, 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, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)))),
% 1.10/0.97 inference(quant_inst,[status(thm)],[])).
% 1.10/0.97 tff(146,plain,
% 1.10/0.97 ((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)),
% 1.10/0.97 inference(modus_ponens,[status(thm)],[145, 144])).
% 1.10/0.97 tff(147,plain,
% 1.10/0.97 (ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)),
% 1.10/0.97 inference(unit_resolution,[status(thm)],[146, 140, 13, 30, 47, 67, 87, 107, 127])).
% 1.10/0.97 tff(148,plain,
% 1.10/0.97 (^[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))))),
% 1.10/0.97 inference(bind,[status(th)],[])).
% 1.10/0.97 tff(149,plain,
% 1.10/0.97 (![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)))),
% 1.10/0.97 inference(quant_intro,[status(thm)],[148])).
% 1.10/0.97 tff(150,plain,
% 1.10/0.97 (![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)))),
% 1.10/0.97 inference(rewrite,[status(thm)],[])).
% 1.10/0.97 tff(151,plain,
% 1.10/0.97 (^[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)))))),
% 1.10/0.97 inference(bind,[status(th)],[])).
% 1.10/0.97 tff(152,plain,
% 1.10/0.97 (![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)))),
% 1.10/0.97 inference(quant_intro,[status(thm)],[151])).
% 1.10/0.97 tff(153,plain,
% 1.10/0.97 (^[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)))))),
% 1.10/0.97 inference(bind,[status(th)],[])).
% 1.10/0.97 tff(154,plain,
% 1.10/0.97 (![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)))),
% 1.10/0.98 inference(quant_intro,[status(thm)],[153])).
% 1.10/0.98 tff(155,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','clause18')).
% 1.10/0.98 tff(156,plain,
% 1.10/0.98 (![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)))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[155, 154])).
% 1.10/0.98 tff(157,plain,
% 1.10/0.98 (![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)))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[156, 152])).
% 1.10/0.98 tff(158,plain,
% 1.10/0.98 (![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)))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[157, 150])).
% 1.10/0.98 tff(159,plain,(
% 1.10/0.98 ![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)))),
% 1.10/0.98 inference(skolemize,[status(sab)],[158])).
% 1.10/0.98 tff(160,plain,
% 1.10/0.98 (![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)))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[159, 149])).
% 1.10/0.98 tff(161,plain,
% 1.10/0.98 (((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)))),
% 1.10/0.98 inference(rewrite,[status(thm)],[])).
% 1.10/0.98 tff(162,plain,
% 1.10/0.98 (((~ssNder1_1r1(elem!0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, 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, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24))) <=> ((~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)))),
% 1.10/0.98 inference(rewrite,[status(thm)],[])).
% 1.10/0.98 tff(163,plain,
% 1.10/0.98 (((~![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, skc28, 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, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24))))),
% 1.10/0.98 inference(monotonicity,[status(thm)],[162])).
% 1.10/0.98 tff(164,plain,
% 1.10/0.98 (((~![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, skc28, 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, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)))),
% 1.10/0.98 inference(transitivity,[status(thm)],[163, 161])).
% 1.10/0.98 tff(165,plain,
% 1.10/0.98 ((~![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, skc28, 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, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)))),
% 1.10/0.98 inference(quant_inst,[status(thm)],[])).
% 1.10/0.98 tff(166,plain,
% 1.10/0.98 ((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[165, 164])).
% 1.10/0.98 tff(167,plain,
% 1.10/0.98 (ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)),
% 1.10/0.98 inference(unit_resolution,[status(thm)],[166, 160, 13, 30, 47, 67, 87, 107, 127, 147])).
% 1.10/0.98 tff(168,plain,
% 1.10/0.98 (^[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))))),
% 1.10/0.98 inference(bind,[status(th)],[])).
% 1.10/0.98 tff(169,plain,
% 1.10/0.98 (![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)))),
% 1.10/0.98 inference(quant_intro,[status(thm)],[168])).
% 1.10/0.98 tff(170,plain,
% 1.10/0.98 (![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)))),
% 1.10/0.98 inference(rewrite,[status(thm)],[])).
% 1.10/0.98 tff(171,plain,
% 1.10/0.98 (^[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)))))),
% 1.10/0.98 inference(bind,[status(th)],[])).
% 1.10/0.98 tff(172,plain,
% 1.10/0.98 (![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)))),
% 1.10/0.98 inference(quant_intro,[status(thm)],[171])).
% 1.10/0.98 tff(173,plain,
% 1.10/0.98 (^[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)))))),
% 1.10/0.98 inference(bind,[status(th)],[])).
% 1.10/0.98 tff(174,plain,
% 1.10/0.98 (![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)))),
% 1.10/0.98 inference(quant_intro,[status(thm)],[173])).
% 1.10/0.98 tff(175,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','clause19')).
% 1.10/0.98 tff(176,plain,
% 1.10/0.98 (![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)))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[175, 174])).
% 1.10/0.98 tff(177,plain,
% 1.10/0.98 (![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)))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[176, 172])).
% 1.10/0.98 tff(178,plain,
% 1.10/0.98 (![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)))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[177, 170])).
% 1.10/0.98 tff(179,plain,(
% 1.10/0.98 ![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)))),
% 1.10/0.98 inference(skolemize,[status(sab)],[178])).
% 1.10/0.98 tff(180,plain,
% 1.10/0.98 (![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)))),
% 1.10/0.98 inference(modus_ponens,[status(thm)],[179, 169])).
% 1.10/0.98 tff(181,plain,
% 1.10/0.98 (((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)))),
% 1.10/0.98 inference(rewrite,[status(thm)],[])).
% 1.10/0.98 tff(182,plain,
% 1.10/0.98 (((~ssNder1_1r1(elem!0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, 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, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24))) <=> ((~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)))),
% 1.10/0.98 inference(rewrite,[status(thm)],[])).
% 1.10/0.98 tff(183,plain,
% 1.10/0.98 (((~![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, skc28, 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, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24))))),
% 1.10/0.99 inference(monotonicity,[status(thm)],[182])).
% 1.10/0.99 tff(184,plain,
% 1.10/0.99 (((~![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, skc28, 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, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)))),
% 1.10/0.99 inference(transitivity,[status(thm)],[183, 181])).
% 1.10/0.99 tff(185,plain,
% 1.10/0.99 ((~![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, skc28, 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, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)))),
% 1.10/0.99 inference(quant_inst,[status(thm)],[])).
% 1.10/0.99 tff(186,plain,
% 1.10/0.99 ((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24))),
% 1.10/0.99 inference(modus_ponens,[status(thm)],[185, 184])).
% 1.10/0.99 tff(187,plain,
% 1.10/0.99 (ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)),
% 1.10/0.99 inference(unit_resolution,[status(thm)],[186, 180, 13, 30, 47, 67, 87, 107, 127, 147, 167])).
% 1.10/0.99 tff(188,plain,
% 1.10/0.99 (^[W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : refl((ssNder1_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))))),
% 1.10/0.99 inference(bind,[status(th)],[])).
% 1.10/0.99 tff(189,plain,
% 1.10/0.99 (![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)))),
% 1.10/0.99 inference(quant_intro,[status(thm)],[188])).
% 1.10/0.99 tff(190,plain,
% 1.10/0.99 (![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)))),
% 1.10/0.99 inference(rewrite,[status(thm)],[])).
% 1.10/0.99 tff(191,plain,
% 1.10/0.99 (^[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)))))),
% 1.10/0.99 inference(bind,[status(th)],[])).
% 1.10/0.99 tff(192,plain,
% 1.10/0.99 (![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)))),
% 1.10/0.99 inference(quant_intro,[status(thm)],[191])).
% 1.10/0.99 tff(193,plain,
% 1.10/0.99 (^[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)))))),
% 1.10/0.99 inference(bind,[status(th)],[])).
% 1.10/0.99 tff(194,plain,
% 1.10/0.99 (![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)))),
% 1.10/0.99 inference(quant_intro,[status(thm)],[193])).
% 1.10/0.99 tff(195,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','clause20')).
% 1.10/0.99 tff(196,plain,
% 1.10/0.99 (![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)))),
% 1.10/0.99 inference(modus_ponens,[status(thm)],[195, 194])).
% 1.10/0.99 tff(197,plain,
% 1.10/0.99 (![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)))),
% 1.10/0.99 inference(modus_ponens,[status(thm)],[196, 192])).
% 1.10/0.99 tff(198,plain,
% 1.10/0.99 (![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)))),
% 1.10/0.99 inference(modus_ponens,[status(thm)],[197, 190])).
% 1.10/0.99 tff(199,plain,(
% 1.10/0.99 ![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)))),
% 1.10/0.99 inference(skolemize,[status(sab)],[198])).
% 1.10/0.99 tff(200,plain,
% 1.10/0.99 (![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)))),
% 1.10/0.99 inference(modus_ponens,[status(thm)],[199, 189])).
% 1.10/0.99 tff(201,plain,
% 1.10/0.99 (((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)))),
% 1.10/0.99 inference(rewrite,[status(thm)],[])).
% 1.10/0.99 tff(202,plain,
% 1.10/0.99 ((ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, 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, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24))) <=> ((~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)))),
% 1.10/0.99 inference(rewrite,[status(thm)],[])).
% 1.10/0.99 tff(203,plain,
% 1.10/0.99 (((~![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, skc28, 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, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24))))),
% 1.10/0.99 inference(monotonicity,[status(thm)],[202])).
% 1.10/0.99 tff(204,plain,
% 1.10/0.99 (((~![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, skc28, 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, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)))),
% 1.10/1.00 inference(transitivity,[status(thm)],[203, 201])).
% 1.10/1.00 tff(205,plain,
% 1.10/1.00 ((~![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, skc28, 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, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)))),
% 1.10/1.00 inference(quant_inst,[status(thm)],[])).
% 1.10/1.00 tff(206,plain,
% 1.10/1.00 ((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24))),
% 1.10/1.00 inference(modus_ponens,[status(thm)],[205, 204])).
% 1.10/1.00 tff(207,plain,
% 1.10/1.00 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)),
% 1.10/1.00 inference(unit_resolution,[status(thm)],[206, 200, 13, 30, 47, 67, 87, 107, 127, 147, 167, 187])).
% 1.10/1.00 tff(208,plain,
% 1.10/1.00 (^[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))))),
% 1.10/1.00 inference(bind,[status(th)],[])).
% 1.10/1.00 tff(209,plain,
% 1.10/1.00 (![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)))),
% 1.10/1.00 inference(quant_intro,[status(thm)],[208])).
% 1.10/1.00 tff(210,plain,
% 1.10/1.00 (![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)))),
% 1.10/1.00 inference(rewrite,[status(thm)],[])).
% 1.10/1.00 tff(211,plain,
% 1.10/1.00 (^[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)))))),
% 1.10/1.00 inference(bind,[status(th)],[])).
% 1.10/1.00 tff(212,plain,
% 1.10/1.00 (![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)))),
% 1.10/1.00 inference(quant_intro,[status(thm)],[211])).
% 1.10/1.00 tff(213,plain,
% 1.10/1.00 (^[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)))))),
% 1.10/1.00 inference(bind,[status(th)],[])).
% 1.10/1.00 tff(214,plain,
% 1.10/1.00 (![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)))),
% 1.10/1.00 inference(quant_intro,[status(thm)],[213])).
% 1.10/1.00 tff(215,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','clause21')).
% 1.10/1.00 tff(216,plain,
% 1.10/1.00 (![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)))),
% 1.10/1.00 inference(modus_ponens,[status(thm)],[215, 214])).
% 1.10/1.00 tff(217,plain,
% 1.10/1.00 (![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)))),
% 1.10/1.00 inference(modus_ponens,[status(thm)],[216, 212])).
% 1.10/1.00 tff(218,plain,
% 1.10/1.00 (![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)))),
% 1.10/1.00 inference(modus_ponens,[status(thm)],[217, 210])).
% 1.10/1.00 tff(219,plain,(
% 1.10/1.00 ![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)))),
% 1.10/1.00 inference(skolemize,[status(sab)],[218])).
% 1.10/1.00 tff(220,plain,
% 1.10/1.00 (![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)))),
% 1.10/1.00 inference(modus_ponens,[status(thm)],[219, 209])).
% 1.10/1.00 tff(221,plain,
% 1.10/1.00 (((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)))),
% 1.10/1.00 inference(rewrite,[status(thm)],[])).
% 1.10/1.00 tff(222,plain,
% 1.10/1.00 (((~ssNder1_1r1(elem!0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, 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, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24))) <=> ((~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)))),
% 1.10/1.00 inference(rewrite,[status(thm)],[])).
% 1.10/1.00 tff(223,plain,
% 1.10/1.00 (((~![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, skc28, 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, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24))))),
% 1.10/1.00 inference(monotonicity,[status(thm)],[222])).
% 1.10/1.00 tff(224,plain,
% 1.10/1.00 (((~![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, skc28, 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, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)))),
% 1.10/1.01 inference(transitivity,[status(thm)],[223, 221])).
% 1.10/1.01 tff(225,plain,
% 1.10/1.01 ((~![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, skc28, 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, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)))),
% 1.10/1.01 inference(quant_inst,[status(thm)],[])).
% 1.10/1.01 tff(226,plain,
% 1.10/1.01 ((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24))),
% 1.10/1.01 inference(modus_ponens,[status(thm)],[225, 224])).
% 1.10/1.01 tff(227,plain,
% 1.10/1.01 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24)),
% 1.10/1.01 inference(unit_resolution,[status(thm)],[226, 220, 13, 30, 47, 67, 87, 107, 127, 147, 167, 187, 207])).
% 1.10/1.01 tff(228,plain,
% 1.10/1.01 (^[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))))),
% 1.10/1.01 inference(bind,[status(th)],[])).
% 1.10/1.01 tff(229,plain,
% 1.10/1.01 (![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)))),
% 1.10/1.01 inference(quant_intro,[status(thm)],[228])).
% 1.10/1.01 tff(230,plain,
% 1.10/1.01 (![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)))),
% 1.10/1.01 inference(rewrite,[status(thm)],[])).
% 1.10/1.01 tff(231,plain,
% 1.10/1.01 (^[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)))))),
% 1.10/1.01 inference(bind,[status(th)],[])).
% 1.10/1.01 tff(232,plain,
% 1.10/1.01 (![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)))),
% 1.10/1.01 inference(quant_intro,[status(thm)],[231])).
% 1.10/1.01 tff(233,plain,
% 1.10/1.01 (^[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)))))),
% 1.17/1.01 inference(bind,[status(th)],[])).
% 1.17/1.01 tff(234,plain,
% 1.17/1.01 (![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)))),
% 1.17/1.01 inference(quant_intro,[status(thm)],[233])).
% 1.17/1.01 tff(235,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','clause25')).
% 1.17/1.01 tff(236,plain,
% 1.17/1.01 (![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)))),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[235, 234])).
% 1.17/1.01 tff(237,plain,
% 1.17/1.01 (![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)))),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[236, 232])).
% 1.17/1.01 tff(238,plain,
% 1.17/1.01 (![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)))),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[237, 230])).
% 1.17/1.01 tff(239,plain,(
% 1.17/1.01 ![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)))),
% 1.17/1.01 inference(skolemize,[status(sab)],[238])).
% 1.17/1.01 tff(240,plain,
% 1.17/1.01 (![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)))),
% 1.17/1.01 inference(modus_ponens,[status(thm)],[239, 229])).
% 1.17/1.01 tff(241,plain,
% 1.17/1.01 (((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23))),
% 1.17/1.01 inference(rewrite,[status(thm)],[])).
% 1.17/1.01 tff(242,plain,
% 1.17/1.01 ((ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, 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, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24))) <=> ((~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23))),
% 1.17/1.01 inference(rewrite,[status(thm)],[])).
% 1.17/1.01 tff(243,plain,
% 1.17/1.01 (((~![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, skc28, 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, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23)))),
% 1.17/1.02 inference(monotonicity,[status(thm)],[242])).
% 1.17/1.02 tff(244,plain,
% 1.17/1.02 (((~![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, skc28, 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, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23))),
% 1.17/1.02 inference(transitivity,[status(thm)],[243, 241])).
% 1.17/1.02 tff(245,plain,
% 1.17/1.02 ((~![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, skc28, 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, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24)))),
% 1.17/1.02 inference(quant_inst,[status(thm)],[])).
% 1.17/1.02 tff(246,plain,
% 1.17/1.02 ((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23)),
% 1.17/1.02 inference(modus_ponens,[status(thm)],[245, 244])).
% 1.17/1.02 tff(247,plain,
% 1.17/1.02 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23)),
% 1.17/1.02 inference(unit_resolution,[status(thm)],[246, 240, 13, 30, 47, 67, 87, 107, 127, 147, 167, 187, 207, 227])).
% 1.17/1.02 tff(248,plain,
% 1.17/1.02 (^[W: $i, V: $i, 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))))),
% 1.17/1.02 inference(bind,[status(th)],[])).
% 1.17/1.02 tff(249,plain,
% 1.17/1.02 (![W: $i, V: $i, Z: $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)))),
% 1.17/1.02 inference(quant_intro,[status(thm)],[248])).
% 1.17/1.02 tff(250,plain,
% 1.17/1.02 (![W: $i, V: $i, Z: $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)))),
% 1.17/1.02 inference(rewrite,[status(thm)],[])).
% 1.17/1.02 tff(251,plain,
% 1.17/1.02 (^[W: $i, V: $i, 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)))))),
% 1.17/1.02 inference(bind,[status(th)],[])).
% 1.17/1.02 tff(252,plain,
% 1.17/1.02 (![W: $i, V: $i, Z: $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)))),
% 1.17/1.02 inference(quant_intro,[status(thm)],[251])).
% 1.17/1.02 tff(253,plain,
% 1.17/1.02 (^[W: $i, V: $i, 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)))))),
% 1.17/1.02 inference(bind,[status(th)],[])).
% 1.17/1.02 tff(254,plain,
% 1.17/1.02 (![W: $i, V: $i, 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)))),
% 1.17/1.02 inference(quant_intro,[status(thm)],[253])).
% 1.17/1.02 tff(255,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','clause31')).
% 1.17/1.02 tff(256,plain,
% 1.17/1.02 (![W: $i, V: $i, Z: $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)))),
% 1.17/1.02 inference(modus_ponens,[status(thm)],[255, 254])).
% 1.17/1.02 tff(257,plain,
% 1.17/1.02 (![W: $i, V: $i, Z: $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)))),
% 1.17/1.02 inference(modus_ponens,[status(thm)],[256, 252])).
% 1.17/1.02 tff(258,plain,
% 1.17/1.02 (![W: $i, V: $i, Z: $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)))),
% 1.17/1.02 inference(modus_ponens,[status(thm)],[257, 250])).
% 1.17/1.02 tff(259,plain,(
% 1.17/1.02 ![W: $i, V: $i, Z: $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)))),
% 1.17/1.03 inference(skolemize,[status(sab)],[258])).
% 1.17/1.03 tff(260,plain,
% 1.17/1.03 (![W: $i, V: $i, Z: $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)))),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[259, 249])).
% 1.17/1.03 tff(261,plain,
% 1.17/1.03 (((~![W: $i, V: $i, Z: $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, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, 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, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19)))),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(262,plain,
% 1.17/1.03 ((~![W: $i, V: $i, Z: $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, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19)))),
% 1.17/1.03 inference(quant_inst,[status(thm)],[])).
% 1.17/1.03 tff(263,plain,
% 1.17/1.03 ((~![W: $i, V: $i, Z: $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, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19))),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[262, 261])).
% 1.17/1.03 tff(264,plain,
% 1.17/1.03 ($false),
% 1.17/1.03 inference(unit_resolution,[status(thm)],[263, 260, 13, 30, 47, 67, 87, 107, 127, 147, 167, 187, 207, 227, 247, 1])).
% 1.17/1.03 tff(265,plain,(~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19)), inference(lemma,lemma(discharge,[]))).
% 1.17/1.03 tff(266,plain,
% 1.17/1.03 (^[W: $i, V: $i, 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))))),
% 1.17/1.03 inference(bind,[status(th)],[])).
% 1.17/1.03 tff(267,plain,
% 1.17/1.03 (![W: $i, V: $i, Z: $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)))),
% 1.17/1.03 inference(quant_intro,[status(thm)],[266])).
% 1.17/1.03 tff(268,plain,
% 1.17/1.03 (![W: $i, V: $i, Z: $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)))),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(269,plain,
% 1.17/1.03 (^[W: $i, V: $i, 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)))))),
% 1.17/1.03 inference(bind,[status(th)],[])).
% 1.17/1.03 tff(270,plain,
% 1.17/1.03 (![W: $i, V: $i, Z: $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)))),
% 1.17/1.03 inference(quant_intro,[status(thm)],[269])).
% 1.17/1.03 tff(271,plain,
% 1.17/1.03 (^[W: $i, V: $i, 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)))))),
% 1.17/1.03 inference(bind,[status(th)],[])).
% 1.17/1.03 tff(272,plain,
% 1.17/1.03 (![W: $i, V: $i, Z: $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)))),
% 1.17/1.03 inference(quant_intro,[status(thm)],[271])).
% 1.17/1.03 tff(273,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','clause29')).
% 1.17/1.03 tff(274,plain,
% 1.17/1.03 (![W: $i, V: $i, Z: $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)))),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[273, 272])).
% 1.17/1.03 tff(275,plain,
% 1.17/1.03 (![W: $i, V: $i, Z: $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)))),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[274, 270])).
% 1.17/1.03 tff(276,plain,
% 1.17/1.03 (![W: $i, V: $i, Z: $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)))),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[275, 268])).
% 1.17/1.03 tff(277,plain,(
% 1.17/1.03 ![W: $i, V: $i, Z: $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)))),
% 1.17/1.03 inference(skolemize,[status(sab)],[276])).
% 1.17/1.03 tff(278,plain,
% 1.17/1.03 (![W: $i, V: $i, Z: $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)))),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[277, 267])).
% 1.17/1.03 tff(279,plain,
% 1.17/1.03 (((~![W: $i, V: $i, Z: $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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(280,plain,
% 1.17/1.04 ((ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, 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, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23))) <=> ((~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(281,plain,
% 1.17/1.04 (((~![W: $i, V: $i, Z: $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, skc28, 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, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21)))),
% 1.17/1.04 inference(monotonicity,[status(thm)],[280])).
% 1.17/1.04 tff(282,plain,
% 1.17/1.04 (((~![W: $i, V: $i, Z: $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, skc28, 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, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21))),
% 1.17/1.04 inference(transitivity,[status(thm)],[281, 279])).
% 1.17/1.04 tff(283,plain,
% 1.17/1.04 ((~![W: $i, V: $i, Z: $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, skc28, 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, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23)))),
% 1.17/1.04 inference(quant_inst,[status(thm)],[])).
% 1.17/1.04 tff(284,plain,
% 1.17/1.04 ((~![W: $i, V: $i, Z: $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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21)),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[283, 282])).
% 1.17/1.04 tff(285,plain,
% 1.17/1.04 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[284, 278, 13, 30, 47, 67, 87, 107, 127, 147, 167, 187, 207, 227, 247])).
% 1.17/1.04 tff(286,assumption,(ssPv19_2r1r1(elem!0, elem!0)), introduced(assumption)).
% 1.17/1.04 tff(287,assumption,(~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc22)), introduced(assumption)).
% 1.17/1.04 tff(288,plain,
% 1.17/1.04 (((~![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_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_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_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_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(289,plain,
% 1.17/1.04 (((~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_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_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(290,plain,
% 1.17/1.04 (((~![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_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_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))))),
% 1.17/1.04 inference(monotonicity,[status(thm)],[289])).
% 1.17/1.04 tff(291,plain,
% 1.17/1.04 (((~![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_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_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)))),
% 1.17/1.04 inference(transitivity,[status(thm)],[290, 288])).
% 1.17/1.04 tff(292,plain,
% 1.17/1.04 ((~![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)))),
% 1.17/1.04 inference(quant_inst,[status(thm)],[])).
% 1.17/1.04 tff(293,plain,
% 1.17/1.04 ((~![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_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_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31))),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[292, 291])).
% 1.17/1.04 tff(294,plain,
% 1.17/1.04 (ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[293, 100, 13, 30, 47, 67, 87])).
% 1.17/1.04 tff(295,plain,
% 1.17/1.04 (((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26) | (~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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(296,plain,
% 1.17/1.04 ((ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29))) <=> ((~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(297,plain,
% 1.17/1.05 (((~![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, skc26) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29))))),
% 1.17/1.05 inference(monotonicity,[status(thm)],[296])).
% 1.17/1.05 tff(298,plain,
% 1.17/1.05 (((~![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, skc26) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))),
% 1.17/1.05 inference(transitivity,[status(thm)],[297, 295])).
% 1.17/1.05 tff(299,plain,
% 1.17/1.05 ((~![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, skc26) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(300,plain,
% 1.17/1.05 ((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29))),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[299, 298])).
% 1.17/1.05 tff(301,plain,
% 1.17/1.05 (ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[300, 120, 13, 30, 47, 67, 87, 294])).
% 1.17/1.05 tff(302,plain,
% 1.17/1.05 (((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(303,plain,
% 1.17/1.05 ((ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, 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, skc26))) <=> ((~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(304,plain,
% 1.17/1.05 (((~![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, skc26, 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, skc26)))) <=> ((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)))),
% 1.17/1.05 inference(monotonicity,[status(thm)],[303])).
% 1.17/1.05 tff(305,plain,
% 1.17/1.05 (((~![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, skc26, 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, skc26)))) <=> ((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24))),
% 1.17/1.05 inference(transitivity,[status(thm)],[304, 302])).
% 1.17/1.05 tff(306,plain,
% 1.17/1.05 ((~![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, skc26, 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, skc26)))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(307,plain,
% 1.17/1.05 ((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[306, 305])).
% 1.17/1.05 tff(308,plain,
% 1.17/1.05 (ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[307, 140, 13, 30, 47, 67, 87, 294, 301])).
% 1.17/1.05 tff(309,plain,
% 1.17/1.05 (((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(310,plain,
% 1.17/1.05 (((~ssNder1_1r1(elem!0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, 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, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24))) <=> ((~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(311,plain,
% 1.17/1.05 (((~![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, skc26, 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, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24))))),
% 1.17/1.05 inference(monotonicity,[status(thm)],[310])).
% 1.17/1.05 tff(312,plain,
% 1.17/1.05 (((~![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, skc26, 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, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)))),
% 1.17/1.05 inference(transitivity,[status(thm)],[311, 309])).
% 1.17/1.05 tff(313,plain,
% 1.17/1.05 ((~![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, skc26, 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, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(314,plain,
% 1.17/1.05 ((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24))),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[313, 312])).
% 1.17/1.05 tff(315,plain,
% 1.17/1.05 (ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[314, 160, 13, 30, 47, 67, 87, 294, 301, 308])).
% 1.17/1.05 tff(316,plain,
% 1.17/1.05 (((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(317,plain,
% 1.17/1.06 (((~ssNder1_1r1(elem!0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, 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, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24))) <=> ((~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(318,plain,
% 1.17/1.06 (((~![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, skc26, 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, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)))),
% 1.17/1.06 inference(monotonicity,[status(thm)],[317])).
% 1.17/1.06 tff(319,plain,
% 1.17/1.06 (((~![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, skc26, 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, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24))),
% 1.17/1.06 inference(transitivity,[status(thm)],[318, 316])).
% 1.17/1.06 tff(320,plain,
% 1.17/1.06 ((~![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, skc26, 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, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)))),
% 1.17/1.06 inference(quant_inst,[status(thm)],[])).
% 1.17/1.06 tff(321,plain,
% 1.17/1.06 ((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[320, 319])).
% 1.17/1.06 tff(322,plain,
% 1.17/1.06 (ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[321, 180, 13, 30, 47, 67, 87, 294, 301, 308, 315])).
% 1.17/1.06 tff(323,plain,
% 1.17/1.06 (((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, 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_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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(324,plain,
% 1.17/1.06 ((ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, 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, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24))) <=> ((~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(325,plain,
% 1.17/1.06 (((~![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, skc26, 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, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)))),
% 1.17/1.06 inference(monotonicity,[status(thm)],[324])).
% 1.17/1.06 tff(326,plain,
% 1.17/1.06 (((~![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, skc26, 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, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24))),
% 1.17/1.06 inference(transitivity,[status(thm)],[325, 323])).
% 1.17/1.06 tff(327,plain,
% 1.17/1.06 ((~![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, skc26, 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, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)))),
% 1.17/1.06 inference(quant_inst,[status(thm)],[])).
% 1.17/1.06 tff(328,plain,
% 1.17/1.06 ((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[327, 326])).
% 1.17/1.06 tff(329,plain,
% 1.17/1.06 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[328, 200, 13, 30, 47, 67, 87, 294, 301, 308, 315, 322])).
% 1.17/1.06 tff(330,plain,
% 1.17/1.06 (((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)))),
% 1.17/1.07 inference(rewrite,[status(thm)],[])).
% 1.17/1.07 tff(331,plain,
% 1.17/1.07 (((~ssNder1_1r1(elem!0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, 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, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24))) <=> ((~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)))),
% 1.17/1.07 inference(rewrite,[status(thm)],[])).
% 1.17/1.07 tff(332,plain,
% 1.17/1.07 (((~![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, skc26, 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, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24))))),
% 1.17/1.07 inference(monotonicity,[status(thm)],[331])).
% 1.17/1.07 tff(333,plain,
% 1.17/1.07 (((~![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, skc26, 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, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)))),
% 1.17/1.07 inference(transitivity,[status(thm)],[332, 330])).
% 1.17/1.07 tff(334,plain,
% 1.17/1.07 ((~![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, skc26, 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, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)))),
% 1.17/1.07 inference(quant_inst,[status(thm)],[])).
% 1.17/1.07 tff(335,plain,
% 1.17/1.07 ((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24))),
% 1.17/1.07 inference(modus_ponens,[status(thm)],[334, 333])).
% 1.17/1.07 tff(336,plain,
% 1.17/1.07 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24)),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[335, 220, 13, 30, 47, 67, 87, 294, 301, 308, 315, 322, 329])).
% 1.17/1.07 tff(337,plain,
% 1.17/1.07 (((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc22))),
% 1.17/1.07 inference(rewrite,[status(thm)],[])).
% 1.17/1.07 tff(338,plain,
% 1.17/1.07 ((ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, 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, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24))) <=> ((~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc22))),
% 1.17/1.07 inference(rewrite,[status(thm)],[])).
% 1.17/1.07 tff(339,plain,
% 1.17/1.07 (((~![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, skc26, skc24, 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, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc22)))),
% 1.17/1.08 inference(monotonicity,[status(thm)],[338])).
% 1.17/1.08 tff(340,plain,
% 1.17/1.08 (((~![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, skc26, skc24, 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, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc22))),
% 1.17/1.08 inference(transitivity,[status(thm)],[339, 337])).
% 1.17/1.08 tff(341,plain,
% 1.17/1.08 ((~![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, skc26, skc24, 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, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24)))),
% 1.17/1.08 inference(quant_inst,[status(thm)],[])).
% 1.17/1.08 tff(342,plain,
% 1.17/1.08 ((~![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: $i] : (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc22)),
% 1.17/1.08 inference(modus_ponens,[status(thm)],[341, 340])).
% 1.17/1.08 tff(343,plain,
% 1.17/1.08 ($false),
% 1.17/1.08 inference(unit_resolution,[status(thm)],[342, 240, 13, 30, 47, 67, 87, 294, 301, 308, 315, 322, 329, 336, 287])).
% 1.17/1.08 tff(344,plain,(ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc22)), inference(lemma,lemma(discharge,[]))).
% 1.17/1.08 tff(345,plain,
% 1.17/1.08 (^[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)))),
% 1.17/1.08 inference(bind,[status(th)],[])).
% 1.17/1.08 tff(346,plain,
% 1.17/1.08 (![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))),
% 1.17/1.08 inference(quant_intro,[status(thm)],[345])).
% 1.17/1.08 tff(347,plain,
% 1.17/1.08 (![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))),
% 1.17/1.08 inference(rewrite,[status(thm)],[])).
% 1.17/1.08 tff(348,plain,
% 1.17/1.08 (^[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))))),
% 1.24/1.08 inference(bind,[status(th)],[])).
% 1.24/1.08 tff(349,plain,
% 1.24/1.08 (![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))),
% 1.24/1.08 inference(quant_intro,[status(thm)],[348])).
% 1.24/1.08 tff(350,plain,
% 1.24/1.08 (^[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))))),
% 1.24/1.08 inference(bind,[status(th)],[])).
% 1.24/1.08 tff(351,plain,
% 1.24/1.08 (![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))),
% 1.24/1.08 inference(quant_intro,[status(thm)],[350])).
% 1.24/1.08 tff(352,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','clause26')).
% 1.24/1.08 tff(353,plain,
% 1.24/1.08 (![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))),
% 1.24/1.08 inference(modus_ponens,[status(thm)],[352, 351])).
% 1.24/1.08 tff(354,plain,
% 1.24/1.08 (![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))),
% 1.24/1.08 inference(modus_ponens,[status(thm)],[353, 349])).
% 1.24/1.08 tff(355,plain,
% 1.24/1.08 (![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))),
% 1.24/1.08 inference(modus_ponens,[status(thm)],[354, 347])).
% 1.24/1.08 tff(356,plain,(
% 1.24/1.08 ![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))),
% 1.24/1.08 inference(skolemize,[status(sab)],[355])).
% 1.24/1.08 tff(357,plain,
% 1.24/1.08 (![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))),
% 1.24/1.08 inference(modus_ponens,[status(thm)],[356, 346])).
% 1.24/1.08 tff(358,plain,
% 1.24/1.08 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, 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, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc20))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(359,plain,
% 1.24/1.09 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc20))),
% 1.24/1.09 inference(quant_inst,[status(thm)],[])).
% 1.24/1.09 tff(360,plain,
% 1.24/1.09 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc20)),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[359, 358])).
% 1.24/1.09 tff(361,plain,
% 1.24/1.09 (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc20)),
% 1.24/1.09 inference(unit_resolution,[status(thm)],[360, 357, 13, 30, 47, 67, 87, 294, 301, 308, 315, 322, 329, 336])).
% 1.24/1.09 tff(362,plain,
% 1.24/1.09 (^[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, skc26)) <=> ((~ssNder1_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, skc26)))),
% 1.24/1.09 inference(bind,[status(th)],[])).
% 1.24/1.09 tff(363,plain,
% 1.24/1.09 (![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, skc26)) <=> ![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, skc26))),
% 1.24/1.09 inference(quant_intro,[status(thm)],[362])).
% 1.24/1.09 tff(364,plain,
% 1.24/1.09 (![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, skc26)) <=> ![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, skc26))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(365,plain,
% 1.24/1.09 (^[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) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26)) <=> ($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, skc26)))), 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, skc26)) <=> ((~ssNder1_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, skc26))), (((~ssNder1_0) | (~ssNder1_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, skc26)) <=> ((~ssNder1_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, skc26))))),
% 1.24/1.09 inference(bind,[status(th)],[])).
% 1.24/1.09 tff(366,plain,
% 1.24/1.09 (![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, skc26)) <=> ![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, skc26))),
% 1.24/1.09 inference(quant_intro,[status(thm)],[365])).
% 1.24/1.09 tff(367,plain,
% 1.24/1.09 (^[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)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26)) <=> (((~ssNder1_0) | (~ssNder1_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, skc26)))), 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))) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26)) <=> ((~ssNder1_0) | (~ssNder1_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, skc26))), ((((((((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26)) <=> ((~ssNder1_0) | (~ssNder1_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, skc26))))),
% 1.24/1.09 inference(bind,[status(th)],[])).
% 1.24/1.09 tff(368,plain,
% 1.24/1.09 (![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)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26)) <=> ![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, skc26))),
% 1.24/1.09 inference(quant_intro,[status(thm)],[367])).
% 1.24/1.09 tff(369,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)) | ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, skc26))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause12')).
% 1.24/1.09 tff(370,plain,
% 1.24/1.09 (![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, skc26))),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[369, 368])).
% 1.24/1.09 tff(371,plain,
% 1.24/1.09 (![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, skc26))),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[370, 366])).
% 1.24/1.09 tff(372,plain,
% 1.24/1.09 (![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, skc26))),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[371, 364])).
% 1.24/1.09 tff(373,plain,(
% 1.24/1.09 ![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, skc26))),
% 1.24/1.09 inference(skolemize,[status(sab)],[372])).
% 1.24/1.09 tff(374,plain,
% 1.24/1.09 (![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, skc26))),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[373, 363])).
% 1.24/1.09 tff(375,plain,
% 1.24/1.09 (((~![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, skc26))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26))) <=> ((~![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, skc26))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(376,plain,
% 1.24/1.09 ((~![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, skc26))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26))),
% 1.24/1.09 inference(quant_inst,[status(thm)],[])).
% 1.24/1.09 tff(377,plain,
% 1.24/1.09 ((~![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, skc26))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)),
% 1.24/1.09 inference(modus_ponens,[status(thm)],[376, 375])).
% 1.24/1.09 tff(378,plain,
% 1.24/1.09 (ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)),
% 1.24/1.09 inference(unit_resolution,[status(thm)],[377, 374, 13, 30, 47, 67, 87])).
% 1.24/1.09 tff(379,plain,
% 1.24/1.09 (^[W: $i, V: $i, 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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))),
% 1.24/1.09 inference(bind,[status(th)],[])).
% 1.24/1.09 tff(380,plain,
% 1.24/1.09 (![W: $i, V: $i, Z: $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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 1.24/1.09 inference(quant_intro,[status(thm)],[379])).
% 1.24/1.09 tff(381,plain,
% 1.24/1.09 (![W: $i, V: $i, Z: $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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 1.24/1.09 inference(rewrite,[status(thm)],[])).
% 1.24/1.09 tff(382,plain,
% 1.24/1.09 (^[W: $i, V: $i, 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) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv19_2r1r1(U, V)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) <=> ($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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))))),
% 1.24/1.09 inference(bind,[status(th)],[])).
% 1.24/1.09 tff(383,plain,
% 1.24/1.09 (![W: $i, V: $i, Z: $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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 1.24/1.09 inference(quant_intro,[status(thm)],[382])).
% 1.24/1.09 tff(384,plain,
% 1.24/1.09 (^[W: $i, V: $i, 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))) | (~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)) | (~ssPv7_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)) | (~ssPv7_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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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))) | (~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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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))) | (~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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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))) | (~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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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))) | (~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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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))) | (~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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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))) | (~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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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))) | (~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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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))) | (~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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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))) | (~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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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))) | (~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))) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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))) | (~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))) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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))) | (~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))) | (~ssPv14_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)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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))) | (~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))) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~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)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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))) | (~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))) | (~ssPv14_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_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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))) | (~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))) | (~ssPv14_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_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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))) | (~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))) | (~ssPv14_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_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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))) | (~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))) | (~ssPv14_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_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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))) | (~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))) | (~ssPv14_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_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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))) | (~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))) | (~ssPv14_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_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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))) | (~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))) | (~ssPv14_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_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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))) | (~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))) | (~ssPv14_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_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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))) | (~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))) | (~ssPv14_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))) | (~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)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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))) | (~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))) | (~ssPv14_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))) | (~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)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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))) | (~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))) | (~ssPv14_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))) | (~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)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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))) | (~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))) | (~ssPv14_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))) | (~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)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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))) | (~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))) | (~ssPv14_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))) | (~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)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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))) | (~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))) | (~ssPv14_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))) | (~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)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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))) | (~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))) | (~ssPv14_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))) | (~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)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~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))) | (~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))) | (~ssPv14_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))) | (~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)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))))),
% 1.24/1.10 inference(bind,[status(th)],[])).
% 1.24/1.10 tff(385,plain,
% 1.24/1.10 (![W: $i, V: $i, Z: $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))) | (~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))) | (~ssPv14_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))) | (~ssPv19_2r1r1(U, V))) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 1.24/1.10 inference(quant_intro,[status(thm)],[384])).
% 1.24/1.10 tff(386,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))) | (~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))) | (~ssPv14_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))) | (~ssPv19_2r1r1(U, V))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause37')).
% 1.24/1.10 tff(387,plain,
% 1.24/1.10 (![W: $i, V: $i, Z: $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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 1.24/1.10 inference(modus_ponens,[status(thm)],[386, 385])).
% 1.24/1.10 tff(388,plain,
% 1.24/1.10 (![W: $i, V: $i, Z: $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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 1.24/1.10 inference(modus_ponens,[status(thm)],[387, 383])).
% 1.24/1.10 tff(389,plain,
% 1.24/1.10 (![W: $i, V: $i, Z: $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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 1.24/1.10 inference(modus_ponens,[status(thm)],[388, 381])).
% 1.24/1.10 tff(390,plain,(
% 1.24/1.10 ![W: $i, V: $i, Z: $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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 1.24/1.10 inference(skolemize,[status(sab)],[389])).
% 1.24/1.10 tff(391,plain,
% 1.24/1.10 (![W: $i, V: $i, Z: $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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))),
% 1.24/1.10 inference(modus_ponens,[status(thm)],[390, 380])).
% 1.24/1.10 tff(392,plain,
% 1.24/1.10 (((~![W: $i, V: $i, Z: $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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc20)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc22)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, 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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | (~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc20)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc22)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)))),
% 1.24/1.10 inference(rewrite,[status(thm)],[])).
% 1.24/1.10 tff(393,plain,
% 1.24/1.10 (((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc22)) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc20))) <=> ((~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc20)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc22)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)))),
% 1.24/1.10 inference(rewrite,[status(thm)],[])).
% 1.24/1.10 tff(394,plain,
% 1.24/1.10 (((~![W: $i, V: $i, Z: $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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc22)) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, 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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc20)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc22)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24))))),
% 1.24/1.10 inference(monotonicity,[status(thm)],[393])).
% 1.24/1.10 tff(395,plain,
% 1.24/1.10 (((~![W: $i, V: $i, Z: $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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc22)) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, 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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | (~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc20)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc22)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)))),
% 1.24/1.10 inference(transitivity,[status(thm)],[394, 392])).
% 1.24/1.10 tff(396,plain,
% 1.24/1.10 ((~![W: $i, V: $i, Z: $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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc22)) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc20)))),
% 1.24/1.11 inference(quant_inst,[status(thm)],[])).
% 1.24/1.11 tff(397,plain,
% 1.24/1.11 ((~![W: $i, V: $i, Z: $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)) | (~ssPv19_2r1r1(U, V)) | (~ssPv14_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)))) | (~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc22, skc20)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc22)) | (~ssPv14_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24))),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[396, 395])).
% 1.24/1.11 tff(398,plain,
% 1.24/1.11 ((~ssPv19_2r1r1(elem!0, elem!0)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc22)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24))),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[397, 391, 13, 30, 47, 67, 87, 294, 378, 301, 308, 315, 322, 329, 336, 361])).
% 1.24/1.11 tff(399,plain,
% 1.24/1.11 ((~ssPv19_2r1r1(elem!0, elem!0)) | (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24))),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[398, 344])).
% 1.24/1.11 tff(400,plain,
% 1.24/1.11 (~ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[399, 286])).
% 1.24/1.11 tff(401,plain,
% 1.24/1.11 (^[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)))),
% 1.24/1.11 inference(bind,[status(th)],[])).
% 1.24/1.11 tff(402,plain,
% 1.24/1.11 (![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))),
% 1.24/1.11 inference(quant_intro,[status(thm)],[401])).
% 1.24/1.11 tff(403,plain,
% 1.24/1.11 (![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))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(404,plain,
% 1.24/1.11 (^[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))))),
% 1.24/1.11 inference(bind,[status(th)],[])).
% 1.24/1.11 tff(405,plain,
% 1.24/1.11 (![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))),
% 1.24/1.11 inference(quant_intro,[status(thm)],[404])).
% 1.24/1.11 tff(406,plain,
% 1.24/1.11 (^[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))))),
% 1.24/1.11 inference(bind,[status(th)],[])).
% 1.24/1.11 tff(407,plain,
% 1.24/1.11 (![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))),
% 1.24/1.11 inference(quant_intro,[status(thm)],[406])).
% 1.24/1.11 tff(408,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')).
% 1.24/1.11 tff(409,plain,
% 1.24/1.11 (![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))),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[408, 407])).
% 1.24/1.11 tff(410,plain,
% 1.24/1.11 (![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))),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[409, 405])).
% 1.24/1.11 tff(411,plain,
% 1.24/1.11 (![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))),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[410, 403])).
% 1.24/1.11 tff(412,plain,(
% 1.24/1.11 ![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))),
% 1.24/1.11 inference(skolemize,[status(sab)],[411])).
% 1.24/1.11 tff(413,plain,
% 1.24/1.11 (![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))),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[412, 402])).
% 1.24/1.11 tff(414,plain,
% 1.24/1.11 (((~![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, skc26, 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, skc26, skc24))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(415,plain,
% 1.24/1.11 ((~![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, skc26, skc24))),
% 1.24/1.11 inference(quant_inst,[status(thm)],[])).
% 1.24/1.11 tff(416,plain,
% 1.24/1.11 ((~![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, skc26, skc24)),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[415, 414])).
% 1.24/1.11 tff(417,plain,
% 1.24/1.11 (ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[416, 413, 13, 30, 47, 67, 87, 294])).
% 1.24/1.11 tff(418,plain,
% 1.24/1.11 (^[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))))),
% 1.24/1.11 inference(bind,[status(th)],[])).
% 1.24/1.11 tff(419,plain,
% 1.24/1.11 (![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)))),
% 1.24/1.11 inference(quant_intro,[status(thm)],[418])).
% 1.24/1.11 tff(420,plain,
% 1.24/1.11 (![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)))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(421,plain,
% 1.24/1.11 (^[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)))))),
% 1.24/1.11 inference(bind,[status(th)],[])).
% 1.24/1.11 tff(422,plain,
% 1.24/1.11 (![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)))),
% 1.24/1.11 inference(quant_intro,[status(thm)],[421])).
% 1.24/1.11 tff(423,plain,
% 1.24/1.11 (^[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)))))),
% 1.24/1.11 inference(bind,[status(th)],[])).
% 1.24/1.11 tff(424,plain,
% 1.24/1.11 (![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)))),
% 1.24/1.11 inference(quant_intro,[status(thm)],[423])).
% 1.24/1.11 tff(425,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')).
% 1.24/1.11 tff(426,plain,
% 1.24/1.11 (![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)))),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[425, 424])).
% 1.24/1.11 tff(427,plain,
% 1.24/1.11 (![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)))),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[426, 422])).
% 1.24/1.11 tff(428,plain,
% 1.24/1.11 (![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)))),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[427, 420])).
% 1.24/1.11 tff(429,plain,(
% 1.24/1.11 ![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)))),
% 1.24/1.11 inference(skolemize,[status(sab)],[428])).
% 1.24/1.11 tff(430,plain,
% 1.24/1.11 (![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)))),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[429, 419])).
% 1.24/1.11 tff(431,plain,
% 1.24/1.11 (((~![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)))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(432,plain,
% 1.24/1.11 ((~![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)))),
% 1.24/1.11 inference(quant_inst,[status(thm)],[])).
% 1.24/1.11 tff(433,plain,
% 1.24/1.11 ((~![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))),
% 1.24/1.11 inference(modus_ponens,[status(thm)],[432, 431])).
% 1.24/1.11 tff(434,plain,
% 1.24/1.11 (~ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)),
% 1.24/1.11 inference(unit_resolution,[status(thm)],[433, 430, 13, 30, 47])).
% 1.24/1.11 tff(435,plain,
% 1.24/1.11 (^[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) | (~ssPv19_2r1r1(U, V)) | (~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) | (~ssPv19_2r1r1(U, V)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))))),
% 1.24/1.11 inference(bind,[status(th)],[])).
% 1.24/1.11 tff(436,plain,
% 1.24/1.11 (![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) | (~ssPv19_2r1r1(U, V)) | (~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) | (~ssPv19_2r1r1(U, V)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 1.24/1.11 inference(quant_intro,[status(thm)],[435])).
% 1.24/1.11 tff(437,plain,
% 1.24/1.11 (![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) | (~ssPv19_2r1r1(U, V)) | (~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) | (~ssPv19_2r1r1(U, V)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 1.24/1.11 inference(rewrite,[status(thm)],[])).
% 1.24/1.11 tff(438,plain,
% 1.24/1.11 (^[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) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv19_2r1r1(U, V)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ($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) | (~ssPv19_2r1r1(U, V)) | (~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) | (~ssPv19_2r1r1(U, V)) | (~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) | (~ssPv19_2r1r1(U, V)) | (~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) | (~ssPv19_2r1r1(U, V)) | (~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) | (~ssPv19_2r1r1(U, V)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))))),
% 1.24/1.11 inference(bind,[status(th)],[])).
% 1.24/1.11 tff(439,plain,
% 1.24/1.11 (![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) | (~ssPv19_2r1r1(U, V)) | (~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) | (~ssPv19_2r1r1(U, V)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 1.24/1.11 inference(quant_intro,[status(thm)],[438])).
% 1.24/1.11 tff(440,plain,
% 1.24/1.11 (^[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))) | (~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)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~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)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~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))) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~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))) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~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))) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~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))) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~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))) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~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))) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~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))) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~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))) | (~ssPv19_2r1r1(U, V))) | (~ssNder1_2r1r1(U, V))) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~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)) | (~ssPv19_2r1r1(U, V)) | (~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) | (~ssPv19_2r1r1(U, V)) | (~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))) | (~ssPv19_2r1r1(U, V))) | (~ssNder1_2r1r1(U, V))) | (~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) | (~ssPv19_2r1r1(U, V)) | (~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))) | (~ssPv19_2r1r1(U, V))) | (~ssNder1_2r1r1(U, V))) | (~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) | (~ssPv19_2r1r1(U, V)) | (~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) | (~ssPv19_2r1r1(U, V)) | (~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) | (~ssPv19_2r1r1(U, V)) | (~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))) | (~ssPv19_2r1r1(U, V))) | (~ssNder1_2r1r1(U, V))) | (~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) | (~ssPv19_2r1r1(U, V)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))))),
% 1.24/1.12 inference(bind,[status(th)],[])).
% 1.24/1.12 tff(441,plain,
% 1.24/1.12 (![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))) | (~ssPv19_2r1r1(U, V))) | (~ssNder1_2r1r1(U, V))) | (~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) | (~ssPv19_2r1r1(U, V)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 1.24/1.12 inference(quant_intro,[status(thm)],[440])).
% 1.24/1.12 tff(442,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))) | (~ssPv19_2r1r1(U, V))) | (~ssNder1_2r1r1(U, V))) | (~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','clause24')).
% 1.24/1.12 tff(443,plain,
% 1.24/1.12 (![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) | (~ssPv19_2r1r1(U, V)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 1.24/1.12 inference(modus_ponens,[status(thm)],[442, 441])).
% 1.24/1.12 tff(444,plain,
% 1.24/1.12 (![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) | (~ssPv19_2r1r1(U, V)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 1.24/1.12 inference(modus_ponens,[status(thm)],[443, 439])).
% 1.24/1.12 tff(445,plain,
% 1.24/1.12 (![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) | (~ssPv19_2r1r1(U, V)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 1.24/1.12 inference(modus_ponens,[status(thm)],[444, 437])).
% 1.24/1.12 tff(446,plain,(
% 1.24/1.12 ![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) | (~ssPv19_2r1r1(U, V)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 1.24/1.12 inference(skolemize,[status(sab)],[445])).
% 1.24/1.12 tff(447,plain,
% 1.24/1.12 (![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) | (~ssPv19_2r1r1(U, V)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))),
% 1.24/1.12 inference(modus_ponens,[status(thm)],[446, 436])).
% 1.24/1.12 tff(448,plain,
% 1.24/1.12 (((~![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) | (~ssPv19_2r1r1(U, V)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, 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) | (~ssPv19_2r1r1(U, V)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24))),
% 1.24/1.12 inference(rewrite,[status(thm)],[])).
% 1.24/1.12 tff(449,plain,
% 1.24/1.12 (((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, 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, skc26, skc24, skc24, skc24, skc24) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24))) <=> (ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24))),
% 1.24/1.12 inference(rewrite,[status(thm)],[])).
% 1.24/1.12 tff(450,plain,
% 1.24/1.12 (((~![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) | (~ssPv19_2r1r1(U, V)) | (~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, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, 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, skc26, skc24, skc24, skc24, skc24) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, 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) | (~ssPv19_2r1r1(U, V)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | (ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)))),
% 1.24/1.12 inference(monotonicity,[status(thm)],[449])).
% 1.24/1.12 tff(451,plain,
% 1.24/1.12 (((~![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) | (~ssPv19_2r1r1(U, V)) | (~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, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, 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, skc26, skc24, skc24, skc24, skc24) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, 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) | (~ssPv19_2r1r1(U, V)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24))),
% 1.24/1.12 inference(transitivity,[status(thm)],[450, 448])).
% 1.24/1.12 tff(452,plain,
% 1.24/1.12 ((~![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) | (~ssPv19_2r1r1(U, V)) | (~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, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, 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, skc26, skc24, skc24, skc24, skc24) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)))),
% 1.24/1.12 inference(quant_inst,[status(thm)],[])).
% 1.24/1.12 tff(453,plain,
% 1.24/1.12 ((~![W: $i, V: $i, Z: $i, Y: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5) | (~ssPv19_2r1r1(U, V)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)))) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24)) | (~ssPv19_2r1r1(elem!0, elem!0)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24)) | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc29, skc26, skc24, skc24, skc24, skc24)),
% 1.24/1.12 inference(modus_ponens,[status(thm)],[452, 451])).
% 1.24/1.12 tff(454,plain,
% 1.24/1.12 ($false),
% 1.24/1.12 inference(unit_resolution,[status(thm)],[453, 447, 13, 30, 47, 67, 434, 87, 294, 301, 417, 308, 315, 322, 286, 400])).
% 1.24/1.12 tff(455,plain,(~ssPv19_2r1r1(elem!0, elem!0)), inference(lemma,lemma(discharge,[]))).
% 1.24/1.12 tff(456,assumption,(ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)), introduced(assumption)).
% 1.24/1.12 tff(457,plain,
% 1.24/1.12 (((~![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_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(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_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)))),
% 1.24/1.12 inference(rewrite,[status(thm)],[])).
% 1.24/1.12 tff(458,plain,
% 1.24/1.12 (((~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_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)))),
% 1.24/1.12 inference(rewrite,[status(thm)],[])).
% 1.24/1.12 tff(459,plain,
% 1.24/1.12 (((~![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_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0))))),
% 1.24/1.12 inference(monotonicity,[status(thm)],[458])).
% 1.24/1.12 tff(460,plain,
% 1.24/1.12 (((~![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_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)))),
% 1.24/1.12 inference(transitivity,[status(thm)],[459, 457])).
% 1.24/1.12 tff(461,plain,
% 1.24/1.12 ((~![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)))),
% 1.24/1.12 inference(quant_inst,[status(thm)],[])).
% 1.24/1.12 tff(462,plain,
% 1.24/1.12 ((~![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_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0))),
% 1.24/1.12 inference(modus_ponens,[status(thm)],[461, 460])).
% 1.24/1.12 tff(463,plain,
% 1.24/1.12 (ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)),
% 1.24/1.12 inference(unit_resolution,[status(thm)],[462, 80, 13, 30, 47, 67])).
% 1.24/1.12 tff(464,plain,
% 1.24/1.12 (((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssNder1_1r1(U)) | ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)))) | (~ssNder1_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(465,plain,
% 1.24/1.13 (((~ssNder1_1r1(elem!0)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, 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, skc30))) <=> ((~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(466,plain,
% 1.24/1.13 (((~![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, 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, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))),
% 1.24/1.13 inference(monotonicity,[status(thm)],[465])).
% 1.24/1.13 tff(467,plain,
% 1.24/1.13 (((~![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, 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, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))),
% 1.24/1.13 inference(transitivity,[status(thm)],[466, 464])).
% 1.24/1.13 tff(468,plain,
% 1.24/1.13 ((~![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, 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, skc30)))),
% 1.24/1.13 inference(quant_inst,[status(thm)],[])).
% 1.24/1.13 tff(469,plain,
% 1.24/1.13 ((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)),
% 1.24/1.13 inference(modus_ponens,[status(thm)],[468, 467])).
% 1.24/1.13 tff(470,plain,
% 1.24/1.13 (ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[469, 100, 13, 30, 47, 67, 463])).
% 1.24/1.13 tff(471,plain,
% 1.24/1.13 (((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(472,plain,
% 1.24/1.13 ((ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, 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, skc29))) <=> ((~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(473,plain,
% 1.24/1.13 (((~![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, skc29, skc26) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, 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, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))))),
% 1.24/1.13 inference(monotonicity,[status(thm)],[472])).
% 1.24/1.13 tff(474,plain,
% 1.24/1.13 (((~![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, skc29, skc26) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, 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, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)))),
% 1.24/1.13 inference(transitivity,[status(thm)],[473, 471])).
% 1.24/1.13 tff(475,plain,
% 1.24/1.13 ((~![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, skc29, skc26) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, 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, skc29)))),
% 1.24/1.13 inference(quant_inst,[status(thm)],[])).
% 1.24/1.13 tff(476,plain,
% 1.24/1.13 ((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29))),
% 1.24/1.13 inference(modus_ponens,[status(thm)],[475, 474])).
% 1.24/1.13 tff(477,plain,
% 1.24/1.13 (ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[476, 120, 13, 30, 47, 67, 463, 470])).
% 1.24/1.13 tff(478,plain,
% 1.24/1.13 (((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)))) <=> ((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(479,plain,
% 1.24/1.13 ((ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26))) <=> ((~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(480,plain,
% 1.24/1.13 (((~![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, skc29, skc26, 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, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)))) <=> ((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26))))),
% 1.24/1.13 inference(monotonicity,[status(thm)],[479])).
% 1.24/1.13 tff(481,plain,
% 1.24/1.13 (((~![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, skc29, skc26, 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, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)))) <=> ((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)))),
% 1.24/1.13 inference(transitivity,[status(thm)],[480, 478])).
% 1.24/1.13 tff(482,plain,
% 1.24/1.13 ((~![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, skc29, skc26, 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, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)))),
% 1.24/1.13 inference(quant_inst,[status(thm)],[])).
% 1.24/1.13 tff(483,plain,
% 1.24/1.13 ((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26))),
% 1.24/1.13 inference(modus_ponens,[status(thm)],[482, 481])).
% 1.24/1.13 tff(484,plain,
% 1.24/1.13 (ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)),
% 1.24/1.13 inference(unit_resolution,[status(thm)],[483, 140, 13, 30, 47, 67, 463, 470, 477])).
% 1.24/1.13 tff(485,plain,
% 1.24/1.13 (((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(486,plain,
% 1.24/1.13 (((~ssNder1_1r1(elem!0)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24))) <=> ((~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)))),
% 1.24/1.13 inference(rewrite,[status(thm)],[])).
% 1.24/1.13 tff(487,plain,
% 1.24/1.13 (((~![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, skc29, skc26, 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, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24))))),
% 1.24/1.14 inference(monotonicity,[status(thm)],[486])).
% 1.24/1.14 tff(488,plain,
% 1.24/1.14 (((~![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, skc29, skc26, 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, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)))),
% 1.24/1.14 inference(transitivity,[status(thm)],[487, 485])).
% 1.24/1.14 tff(489,plain,
% 1.24/1.14 ((~![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, skc29, skc26, 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, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)))),
% 1.24/1.14 inference(quant_inst,[status(thm)],[])).
% 1.24/1.14 tff(490,plain,
% 1.24/1.14 ((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24))),
% 1.24/1.14 inference(modus_ponens,[status(thm)],[489, 488])).
% 1.24/1.14 tff(491,plain,
% 1.24/1.14 (ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)),
% 1.24/1.14 inference(unit_resolution,[status(thm)],[490, 160, 13, 30, 47, 67, 463, 470, 477, 484])).
% 1.24/1.14 tff(492,plain,
% 1.24/1.14 (((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)))),
% 1.24/1.14 inference(rewrite,[status(thm)],[])).
% 1.24/1.14 tff(493,plain,
% 1.24/1.14 (((~ssNder1_1r1(elem!0)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24))) <=> ((~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)))),
% 1.24/1.14 inference(rewrite,[status(thm)],[])).
% 1.24/1.14 tff(494,plain,
% 1.24/1.14 (((~![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, skc29, skc26, 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, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24))))),
% 1.24/1.14 inference(monotonicity,[status(thm)],[493])).
% 1.24/1.14 tff(495,plain,
% 1.24/1.14 (((~![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, skc29, skc26, 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, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)))),
% 1.24/1.14 inference(transitivity,[status(thm)],[494, 492])).
% 1.24/1.14 tff(496,plain,
% 1.24/1.14 ((~![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, skc29, skc26, 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, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)))),
% 1.24/1.14 inference(quant_inst,[status(thm)],[])).
% 1.24/1.14 tff(497,plain,
% 1.24/1.14 ((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24))),
% 1.24/1.14 inference(modus_ponens,[status(thm)],[496, 495])).
% 1.24/1.14 tff(498,plain,
% 1.24/1.14 (ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)),
% 1.24/1.14 inference(unit_resolution,[status(thm)],[497, 180, 13, 30, 47, 67, 463, 470, 477, 484, 491])).
% 1.24/1.14 tff(499,plain,
% 1.24/1.14 (((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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_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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24))),
% 1.24/1.14 inference(rewrite,[status(thm)],[])).
% 1.24/1.14 tff(500,plain,
% 1.24/1.14 ((ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24))) <=> ((~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24))),
% 1.24/1.14 inference(rewrite,[status(thm)],[])).
% 1.24/1.14 tff(501,plain,
% 1.24/1.14 (((~![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, skc29, skc26, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)))),
% 1.24/1.15 inference(monotonicity,[status(thm)],[500])).
% 1.24/1.15 tff(502,plain,
% 1.24/1.15 (((~![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, skc29, skc26, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24))),
% 1.24/1.15 inference(transitivity,[status(thm)],[501, 499])).
% 1.24/1.15 tff(503,plain,
% 1.24/1.15 ((~![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, skc29, skc26, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)))),
% 1.24/1.15 inference(quant_inst,[status(thm)],[])).
% 1.24/1.15 tff(504,plain,
% 1.24/1.15 ((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[503, 502])).
% 1.24/1.15 tff(505,plain,
% 1.24/1.15 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)),
% 1.24/1.15 inference(unit_resolution,[status(thm)],[504, 200, 13, 30, 47, 67, 463, 470, 477, 484, 491, 498])).
% 1.24/1.15 tff(506,plain,
% 1.24/1.15 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : refl(((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))),
% 1.24/1.15 inference(bind,[status(th)],[])).
% 1.24/1.15 tff(507,plain,
% 1.24/1.15 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))),
% 1.24/1.15 inference(quant_intro,[status(thm)],[506])).
% 1.24/1.15 tff(508,plain,
% 1.24/1.15 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))),
% 1.24/1.15 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(509,plain,
% 1.24/1.15 (^[W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(ssNder1_0), (ssNder1_0 <=> $true)), ((~ssNder1_0) <=> (~$true))), rewrite((~$true) <=> $false), ((~ssNder1_0) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) <=> ($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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))), 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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))))),
% 1.24/1.15 inference(bind,[status(th)],[])).
% 1.24/1.15 tff(510,plain,
% 1.24/1.15 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) <=> ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))),
% 1.24/1.15 inference(quant_intro,[status(thm)],[509])).
% 1.24/1.15 tff(511,plain,
% 1.24/1.15 (^[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(((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), ((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), ((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))), (((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), (((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))), ((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, 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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), ((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, 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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))), (((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, 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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), (((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, 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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))), ((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, 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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), ((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, 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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))), (((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), (((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))), ((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, 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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), ((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, 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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))), (((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, 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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), (((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, 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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))), ((((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, 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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), ((((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, 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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))), (((((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), (((((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))))), ((((((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, 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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23))) | (~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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))), ((((((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, 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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))))),
% 1.24/1.15 inference(bind,[status(th)],[])).
% 1.24/1.15 tff(512,plain,
% 1.24/1.15 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, 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, 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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))),
% 1.24/1.15 inference(quant_intro,[status(thm)],[511])).
% 1.24/1.15 tff(513,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] : (((((((((((((~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, 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','clause23')).
% 1.24/1.15 tff(514,plain,
% 1.24/1.15 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[513, 512])).
% 1.24/1.15 tff(515,plain,
% 1.24/1.15 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[514, 510])).
% 1.24/1.15 tff(516,plain,
% 1.24/1.15 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[515, 508])).
% 1.24/1.15 tff(517,plain,(
% 1.24/1.15 ![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))),
% 1.24/1.15 inference(skolemize,[status(sab)],[516])).
% 1.24/1.15 tff(518,plain,
% 1.24/1.15 (![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[517, 507])).
% 1.24/1.15 tff(519,plain,
% 1.24/1.15 (((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, 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, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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, 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)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, 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, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)))),
% 1.24/1.15 inference(rewrite,[status(thm)],[])).
% 1.24/1.15 tff(520,plain,
% 1.24/1.15 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, 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, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)))),
% 1.24/1.15 inference(quant_inst,[status(thm)],[])).
% 1.24/1.15 tff(521,plain,
% 1.24/1.15 ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, skc23)))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23))),
% 1.24/1.15 inference(modus_ponens,[status(thm)],[520, 519])).
% 1.24/1.15 tff(522,plain,
% 1.24/1.15 ($false),
% 1.24/1.15 inference(unit_resolution,[status(thm)],[521, 518, 13, 30, 47, 67, 463, 470, 477, 484, 491, 498, 505, 456])).
% 1.24/1.15 tff(523,plain,(~ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)), inference(lemma,lemma(discharge,[]))).
% 1.24/1.15 tff(524,assumption,(ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19)), introduced(assumption)).
% 1.24/1.16 tff(525,plain,
% 1.24/1.16 (((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(526,plain,
% 1.24/1.16 (((~ssNder1_1r1(elem!0)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24))) <=> ((~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(527,plain,
% 1.24/1.16 (((~![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, skc29, skc26, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24))))),
% 1.24/1.16 inference(monotonicity,[status(thm)],[526])).
% 1.24/1.16 tff(528,plain,
% 1.24/1.16 (((~![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, skc29, skc26, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)))),
% 1.24/1.16 inference(transitivity,[status(thm)],[527, 525])).
% 1.24/1.16 tff(529,plain,
% 1.24/1.16 ((~![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, skc29, skc26, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)))),
% 1.24/1.16 inference(quant_inst,[status(thm)],[])).
% 1.24/1.16 tff(530,plain,
% 1.24/1.16 ((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24))),
% 1.24/1.16 inference(modus_ponens,[status(thm)],[529, 528])).
% 1.24/1.16 tff(531,plain,
% 1.24/1.16 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)),
% 1.24/1.16 inference(unit_resolution,[status(thm)],[530, 220, 13, 30, 47, 67, 463, 470, 477, 484, 491, 498, 505])).
% 1.24/1.16 tff(532,plain,
% 1.24/1.16 (((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(533,plain,
% 1.24/1.16 ((ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24))) <=> ((~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)))),
% 1.24/1.16 inference(rewrite,[status(thm)],[])).
% 1.24/1.16 tff(534,plain,
% 1.24/1.16 (((~![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, skc29, skc26, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24))))),
% 1.33/1.17 inference(monotonicity,[status(thm)],[533])).
% 1.33/1.17 tff(535,plain,
% 1.33/1.17 (((~![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, skc29, skc26, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)))),
% 1.33/1.17 inference(transitivity,[status(thm)],[534, 532])).
% 1.33/1.17 tff(536,plain,
% 1.33/1.17 ((~![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, skc29, skc26, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)))),
% 1.33/1.17 inference(quant_inst,[status(thm)],[])).
% 1.33/1.17 tff(537,plain,
% 1.33/1.17 ((~![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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24))),
% 1.33/1.17 inference(modus_ponens,[status(thm)],[536, 535])).
% 1.33/1.17 tff(538,plain,
% 1.33/1.17 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)),
% 1.33/1.17 inference(unit_resolution,[status(thm)],[537, 240, 13, 30, 47, 67, 463, 470, 477, 484, 491, 498, 505, 531])).
% 1.33/1.17 tff(539,plain,
% 1.33/1.17 (((~![W: $i, V: $i, Z: $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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19)))),
% 1.33/1.17 inference(rewrite,[status(thm)],[])).
% 1.33/1.17 tff(540,plain,
% 1.33/1.17 ((~![W: $i, V: $i, Z: $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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19)))),
% 1.33/1.17 inference(quant_inst,[status(thm)],[])).
% 1.33/1.17 tff(541,plain,
% 1.33/1.17 ((~![W: $i, V: $i, Z: $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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19))),
% 1.33/1.17 inference(modus_ponens,[status(thm)],[540, 539])).
% 1.33/1.17 tff(542,plain,
% 1.33/1.17 ($false),
% 1.33/1.17 inference(unit_resolution,[status(thm)],[541, 260, 13, 30, 47, 67, 463, 470, 477, 484, 491, 498, 505, 531, 538, 524])).
% 1.33/1.17 tff(543,plain,(~ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19)), inference(lemma,lemma(discharge,[]))).
% 1.33/1.17 tff(544,assumption,(~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc21)), introduced(assumption)).
% 1.33/1.17 tff(545,plain,
% 1.33/1.17 (((~![W: $i, V: $i, Z: $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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc21))),
% 1.33/1.18 inference(rewrite,[status(thm)],[])).
% 1.33/1.18 tff(546,plain,
% 1.33/1.18 ((ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23))) <=> ((~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc21))),
% 1.33/1.18 inference(rewrite,[status(thm)],[])).
% 1.33/1.18 tff(547,plain,
% 1.33/1.18 (((~![W: $i, V: $i, Z: $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, skc29, skc26, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc21)))),
% 1.33/1.18 inference(monotonicity,[status(thm)],[546])).
% 1.33/1.18 tff(548,plain,
% 1.33/1.18 (((~![W: $i, V: $i, Z: $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, skc29, skc26, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc21))),
% 1.33/1.18 inference(transitivity,[status(thm)],[547, 545])).
% 1.33/1.18 tff(549,plain,
% 1.33/1.18 ((~![W: $i, V: $i, Z: $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, skc29, skc26, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)))),
% 1.33/1.18 inference(quant_inst,[status(thm)],[])).
% 1.33/1.18 tff(550,plain,
% 1.33/1.18 ((~![W: $i, V: $i, Z: $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_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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc21)),
% 1.33/1.18 inference(modus_ponens,[status(thm)],[549, 548])).
% 1.33/1.18 tff(551,plain,
% 1.33/1.18 ($false),
% 1.33/1.18 inference(unit_resolution,[status(thm)],[550, 278, 13, 30, 47, 67, 463, 470, 477, 484, 491, 498, 505, 531, 538, 544])).
% 1.33/1.18 tff(552,plain,(ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc21)), inference(lemma,lemma(discharge,[]))).
% 1.33/1.18 tff(553,plain,
% 1.33/1.18 (^[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((ssPv8_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_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_2r1r1(U, V) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) <=> (ssPv8_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_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_2r1r1(U, V) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))),
% 1.33/1.18 inference(bind,[status(th)],[])).
% 1.33/1.18 tff(554,plain,
% 1.33/1.18 (![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] : (ssPv8_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_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_2r1r1(U, V) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | 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] : (ssPv8_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_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_2r1r1(U, V) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))),
% 1.33/1.18 inference(quant_intro,[status(thm)],[553])).
% 1.33/1.18 tff(555,plain,
% 1.33/1.18 (![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] : (ssPv8_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_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_2r1r1(U, V) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | 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] : (ssPv8_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_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_2r1r1(U, V) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))),
% 1.33/1.18 inference(rewrite,[status(thm)],[])).
% 1.33/1.18 tff(556,plain,
% 1.33/1.18 (^[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) <=> $false)), (((~ssNder1_0) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_2r1r1(U, V) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) <=> ($false | ssPv8_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_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_2r1r1(U, V) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), rewrite(($false | ssPv8_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_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_2r1r1(U, V) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) <=> (ssPv8_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_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_2r1r1(U, V) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))), (((~ssNder1_0) | ssPv8_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_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_2r1r1(U, V) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) <=> (ssPv8_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_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_2r1r1(U, V) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))),
% 1.33/1.18 inference(bind,[status(th)],[])).
% 1.33/1.18 tff(557,plain,
% 1.33/1.18 (![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) | ssPv8_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_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_2r1r1(U, V) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | 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] : (ssPv8_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_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_2r1r1(U, V) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))),
% 1.33/1.18 inference(quant_intro,[status(thm)],[556])).
% 1.33/1.18 tff(558,plain,
% 1.33/1.18 (^[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))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, 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_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))) | (~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)))), (((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~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))) | (~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)))), ((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~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))) | (~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)))), (((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~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))) | (~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)))), ((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~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))) | (~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)))), (((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~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))) | (~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)))), ((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~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))) | (~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)))), (((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~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))) | (~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)))), ((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~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))) | (~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)))), (((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~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))) | (~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)))), ((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~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))) | (~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)))), (((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~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))) | (~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)))), ((((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | 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)))), 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)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, 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)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, 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)))), ((((((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv8_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)) | (~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)) | ssPv8_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_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)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | ssPv8_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_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)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, 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)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) <=> ((~ssNder1_0) | ssPv8_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_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)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, 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)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> (((~ssNder1_0) | ssPv8_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_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)) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))), rewrite((((~ssNder1_0) | ssPv8_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_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)) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | ssPv8_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_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))), (((((((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, 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)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) <=> ((~ssNder1_0) | ssPv8_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_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), ((((((((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, 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)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv19_2r1r1(U, V)) <=> (((~ssNder1_0) | ssPv8_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_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv19_2r1r1(U, V)))), rewrite((((~ssNder1_0) | ssPv8_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_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | ssPv19_2r1r1(U, V)) <=> ((~ssNder1_0) | ssPv8_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_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_2r1r1(U, V) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))), ((((((((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, 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)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv19_2r1r1(U, V)) <=> ((~ssNder1_0) | ssPv8_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_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_2r1r1(U, V) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))),
% 1.33/1.19 inference(bind,[status(th)],[])).
% 1.33/1.19 tff(559,plain,
% 1.33/1.19 (![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))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, 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)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | 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) | ssPv8_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_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_2r1r1(U, V) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))),
% 1.33/1.19 inference(quant_intro,[status(thm)],[558])).
% 1.33/1.19 tff(560,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))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, 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)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv19_2r1r1(U, V))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause43')).
% 1.33/1.19 tff(561,plain,
% 1.33/1.19 (![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) | ssPv8_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_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_2r1r1(U, V) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))),
% 1.33/1.19 inference(modus_ponens,[status(thm)],[560, 559])).
% 1.33/1.19 tff(562,plain,
% 1.33/1.19 (![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] : (ssPv8_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_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_2r1r1(U, V) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))),
% 1.33/1.19 inference(modus_ponens,[status(thm)],[561, 557])).
% 1.33/1.19 tff(563,plain,
% 1.33/1.19 (![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] : (ssPv8_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_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_2r1r1(U, V) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))),
% 1.33/1.19 inference(modus_ponens,[status(thm)],[562, 555])).
% 1.33/1.19 tff(564,plain,(
% 1.33/1.19 ![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] : (ssPv8_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_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_2r1r1(U, V) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))),
% 1.33/1.19 inference(skolemize,[status(sab)],[563])).
% 1.33/1.19 tff(565,plain,
% 1.33/1.19 (![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] : (ssPv8_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_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_2r1r1(U, V) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))),
% 1.33/1.19 inference(modus_ponens,[status(thm)],[564, 554])).
% 1.33/1.19 tff(566,plain,
% 1.33/1.19 (((~![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] : (ssPv8_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_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_2r1r1(U, V) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | ((~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc21)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | ssPv19_2r1r1(elem!0, elem!0) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, 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] : (ssPv8_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_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_2r1r1(U, V) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc21)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | ssPv19_2r1r1(elem!0, elem!0) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)))),
% 1.33/1.19 inference(rewrite,[status(thm)],[])).
% 1.33/1.19 tff(567,plain,
% 1.33/1.19 ((ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv19_2r1r1(elem!0, elem!0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19)) <=> ((~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc21)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | ssPv19_2r1r1(elem!0, elem!0) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)))),
% 1.33/1.19 inference(rewrite,[status(thm)],[])).
% 1.33/1.19 tff(568,plain,
% 1.33/1.19 (((~![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] : (ssPv8_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_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_2r1r1(U, V) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv19_2r1r1(elem!0, elem!0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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] : (ssPv8_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_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_2r1r1(U, V) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | ((~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc21)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | ssPv19_2r1r1(elem!0, elem!0) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24))))),
% 1.33/1.19 inference(monotonicity,[status(thm)],[567])).
% 1.33/1.19 tff(569,plain,
% 1.33/1.19 (((~![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] : (ssPv8_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_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_2r1r1(U, V) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv19_2r1r1(elem!0, elem!0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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] : (ssPv8_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_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_2r1r1(U, V) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc21)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | ssPv19_2r1r1(elem!0, elem!0) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)))),
% 1.36/1.20 inference(transitivity,[status(thm)],[568, 566])).
% 1.36/1.20 tff(570,plain,
% 1.36/1.20 ((~![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] : (ssPv8_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_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_2r1r1(U, V) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv19_2r1r1(elem!0, elem!0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19))),
% 1.36/1.20 inference(quant_inst,[status(thm)],[])).
% 1.36/1.20 tff(571,plain,
% 1.36/1.20 ((~![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] : (ssPv8_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_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv19_2r1r1(U, V) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc21)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | ssPv19_2r1r1(elem!0, elem!0) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24))),
% 1.36/1.20 inference(modus_ponens,[status(thm)],[570, 569])).
% 1.36/1.20 tff(572,plain,
% 1.36/1.20 (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19) | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23) | ssPv19_2r1r1(elem!0, elem!0) | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)),
% 1.36/1.20 inference(unit_resolution,[status(thm)],[571, 565, 13, 30, 47, 67, 463, 470, 477, 484, 491, 498, 505, 531, 538, 552])).
% 1.36/1.20 tff(573,plain,
% 1.36/1.20 (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)),
% 1.36/1.20 inference(unit_resolution,[status(thm)],[572, 455, 543, 523])).
% 1.36/1.20 tff(574,plain,
% 1.36/1.20 (((~![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, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc20))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, X6: $i, X4: $i, X3: $i, U: $i, X: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, skc20))) | (~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc20))),
% 1.36/1.20 inference(rewrite,[status(thm)],[])).
% 1.36/1.20 tff(575,plain,
% 1.36/1.20 ((~![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, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc20))),
% 1.36/1.20 inference(quant_inst,[status(thm)],[])).
% 1.36/1.20 tff(576,plain,
% 1.36/1.20 ((~![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, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc20)),
% 1.36/1.20 inference(modus_ponens,[status(thm)],[575, 574])).
% 1.36/1.20 tff(577,plain,
% 1.36/1.20 (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc20)),
% 1.36/1.20 inference(unit_resolution,[status(thm)],[576, 357, 13, 30, 47, 67, 463, 470, 477, 484, 491, 498, 505, 531])).
% 1.36/1.20 tff(578,plain,
% 1.36/1.20 (((~![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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24))),
% 1.36/1.20 inference(rewrite,[status(thm)],[])).
% 1.36/1.20 tff(579,plain,
% 1.36/1.20 ((~![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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24))),
% 1.36/1.20 inference(quant_inst,[status(thm)],[])).
% 1.36/1.20 tff(580,plain,
% 1.36/1.20 ((~![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, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)),
% 1.36/1.20 inference(modus_ponens,[status(thm)],[579, 578])).
% 1.36/1.20 tff(581,plain,
% 1.36/1.20 (ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)),
% 1.36/1.20 inference(unit_resolution,[status(thm)],[580, 413, 13, 30, 47, 67, 463, 470])).
% 1.36/1.20 tff(582,plain,
% 1.36/1.20 (^[W: $i, V: $i, 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)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))),
% 1.36/1.20 inference(bind,[status(th)],[])).
% 1.36/1.20 tff(583,plain,
% 1.36/1.20 (![W: $i, V: $i, Z: $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)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_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, 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)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 1.36/1.20 inference(quant_intro,[status(thm)],[582])).
% 1.36/1.20 tff(584,plain,
% 1.36/1.20 (![W: $i, V: $i, Z: $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)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_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, 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)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 1.36/1.21 inference(rewrite,[status(thm)],[])).
% 1.36/1.21 tff(585,plain,
% 1.36/1.21 (^[W: $i, V: $i, 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) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))))), rewrite(($false | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_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)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))))),
% 1.36/1.21 inference(bind,[status(th)],[])).
% 1.36/1.21 tff(586,plain,
% 1.36/1.21 (![W: $i, V: $i, Z: $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)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_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, 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)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 1.36/1.21 inference(quant_intro,[status(thm)],[585])).
% 1.36/1.21 tff(587,plain,
% 1.36/1.21 (^[W: $i, V: $i, 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))) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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))) | (~ssPv9_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)) | (~ssPv9_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))))), 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)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~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)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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))) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) <=> ((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~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)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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))) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~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)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))))), rewrite((((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~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)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, 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)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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))) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~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)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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))) | (~ssPv9_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_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)) | (~ssPv9_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_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)) | (~ssPv9_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_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)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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))) | (~ssPv9_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_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)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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))) | (~ssPv9_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_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)) | (~ssPv9_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_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)) | (~ssPv9_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_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)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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))) | (~ssPv9_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_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)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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))) | (~ssPv9_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))) | (~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)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~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)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~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)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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))) | (~ssPv9_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))) | (~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)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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))) | (~ssPv9_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))) | (~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)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_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_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_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_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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))) | (~ssPv9_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))) | (~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)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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))) | (~ssPv9_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))) | (~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)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_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_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_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_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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))) | (~ssPv9_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))) | (~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)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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))) | (~ssPv9_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))) | (~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)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_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_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_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_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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))) | (~ssPv9_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))) | (~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)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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))) | (~ssPv9_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))) | (~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)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_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_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_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_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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))) | (~ssPv9_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))) | (~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)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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))) | (~ssPv9_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))) | (~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)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_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_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_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_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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))) | (~ssPv9_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))) | (~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)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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))) | (~ssPv9_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))) | (~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)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_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_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_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_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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))) | (~ssPv9_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))) | (~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)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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))) | (~ssPv9_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))) | (~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)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_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_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_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_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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))) | (~ssPv9_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))) | (~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)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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))) | (~ssPv9_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))) | (~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)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~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)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~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)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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))) | (~ssPv9_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))) | (~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)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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))) | (~ssPv9_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))) | (~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)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_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_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_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_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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))) | (~ssPv9_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))) | (~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)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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))) | (~ssPv9_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))) | (~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)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_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_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_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_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, 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))) | (~ssPv9_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))) | (~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)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))))),
% 1.36/1.21 inference(bind,[status(th)],[])).
% 1.36/1.21 tff(588,plain,
% 1.36/1.21 (![W: $i, V: $i, Z: $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))) | (~ssPv9_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))) | (~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)) <=> ![W: $i, V: $i, Z: $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)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 1.36/1.21 inference(quant_intro,[status(thm)],[587])).
% 1.36/1.21 tff(589,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))) | (~ssPv9_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))) | (~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))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause38')).
% 1.36/1.21 tff(590,plain,
% 1.36/1.21 (![W: $i, V: $i, Z: $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)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 1.36/1.21 inference(modus_ponens,[status(thm)],[589, 588])).
% 1.36/1.21 tff(591,plain,
% 1.36/1.21 (![W: $i, V: $i, Z: $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)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 1.36/1.21 inference(modus_ponens,[status(thm)],[590, 586])).
% 1.36/1.21 tff(592,plain,
% 1.36/1.21 (![W: $i, V: $i, Z: $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)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 1.36/1.21 inference(modus_ponens,[status(thm)],[591, 584])).
% 1.36/1.21 tff(593,plain,(
% 1.36/1.21 ![W: $i, V: $i, Z: $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)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 1.36/1.21 inference(skolemize,[status(sab)],[592])).
% 1.36/1.21 tff(594,plain,
% 1.36/1.21 (![W: $i, V: $i, Z: $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)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))),
% 1.36/1.21 inference(modus_ponens,[status(thm)],[593, 583])).
% 1.36/1.21 tff(595,plain,
% 1.36/1.21 (((~![W: $i, V: $i, Z: $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)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssPv20_1r1(elem!0)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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, 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)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssPv20_1r1(elem!0)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)))),
% 1.36/1.21 inference(rewrite,[status(thm)],[])).
% 1.36/1.21 tff(596,plain,
% 1.36/1.21 (((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, 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, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv20_1r1(elem!0)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24))) <=> ((~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssPv20_1r1(elem!0)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)))),
% 1.36/1.22 inference(rewrite,[status(thm)],[])).
% 1.36/1.22 tff(597,plain,
% 1.36/1.22 (((~![W: $i, V: $i, Z: $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)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv20_1r1(elem!0)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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, 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)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssPv20_1r1(elem!0)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24))))),
% 1.36/1.22 inference(monotonicity,[status(thm)],[596])).
% 1.36/1.22 tff(598,plain,
% 1.36/1.22 (((~![W: $i, V: $i, Z: $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)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv20_1r1(elem!0)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, 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, 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)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssPv20_1r1(elem!0)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)))),
% 1.36/1.22 inference(transitivity,[status(thm)],[597, 595])).
% 1.36/1.22 tff(599,plain,
% 1.36/1.22 ((~![W: $i, V: $i, Z: $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)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv20_1r1(elem!0)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)))),
% 1.36/1.22 inference(quant_inst,[status(thm)],[])).
% 1.36/1.22 tff(600,plain,
% 1.36/1.22 ((~![W: $i, V: $i, Z: $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)) | (~ssPv20_1r1(U)) | (~ssPv13_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)))) | (~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssPv20_1r1(elem!0)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssPv13_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24)) | (~ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24, skc23, skc20)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24))),
% 1.36/1.22 inference(modus_ponens,[status(thm)],[599, 598])).
% 1.36/1.22 tff(601,plain,
% 1.36/1.22 ((~ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc30, skc29, skc26, skc24, skc24, skc24, skc24, skc24)) | (~ssPv20_1r1(elem!0))),
% 1.36/1.22 inference(unit_resolution,[status(thm)],[600, 594, 13, 30, 47, 67, 463, 470, 477, 581, 484, 491, 498, 505, 531, 538, 577])).
% 1.36/1.22 tff(602,plain,
% 1.36/1.22 (~ssPv20_1r1(elem!0)),
% 1.36/1.22 inference(unit_resolution,[status(thm)],[601, 573])).
% 1.36/1.22 tff(603,plain,
% 1.36/1.22 (^[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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | 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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))),
% 1.36/1.22 inference(bind,[status(th)],[])).
% 1.36/1.22 tff(604,plain,
% 1.36/1.22 (![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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | 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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))),
% 1.36/1.22 inference(quant_intro,[status(thm)],[603])).
% 1.36/1.22 tff(605,plain,
% 1.36/1.22 (![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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | 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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))),
% 1.36/1.22 inference(rewrite,[status(thm)],[])).
% 1.36/1.22 tff(606,plain,
% 1.36/1.22 (^[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) <=> $false)), (((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) <=> ($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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | 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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | 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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | 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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | 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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))),
% 1.36/1.22 inference(bind,[status(th)],[])).
% 1.36/1.22 tff(607,plain,
% 1.36/1.22 (![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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | 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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))),
% 1.36/1.22 inference(quant_intro,[status(thm)],[606])).
% 1.36/1.22 tff(608,plain,
% 1.36/1.22 (^[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))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> (((~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, 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_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))) | (~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)))), (((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) <=> ((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> (((~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~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))) | (~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)))), ((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) <=> ((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> (((~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~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))) | (~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)))), (((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) <=> ((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> (((~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~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))) | (~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)))), ((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) <=> ((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> (((~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~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))) | (~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)))), (((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) <=> ((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> (((~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~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))) | (~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)))), ((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) <=> ((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> (((~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~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))) | (~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)))), (((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) <=> ((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> (((~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~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))) | (~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)))), ((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) <=> ((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> (((~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~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))) | (~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)))), (((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) <=> ((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> (((~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~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))) | (~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)))), ((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) <=> ((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> (((~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~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))) | (~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)))), (((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) <=> ((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), ((((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> (((~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))) | (~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))) | (~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)))), ((((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8))))), (((((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | 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)))), 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)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, 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)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, 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)))), ((((((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y))) | (~ssNder1_4r1r1r1r1(U, V, W, X))) | (~ssNder1_3r1r1r1(U, V, W))) | (~ssNder1_2r1r1(U, V))) | (~ssNder1_1r1(U))) | (~ssNder1_0)) | 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)))), 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)) <=> ((~ssNder1_0) | (~ssNder1_1r1(U)) | (~ssNder1_2r1r1(U, V)) | (~ssNder1_3r1r1r1(U, V, W)) | (~ssNder1_4r1r1r1r1(U, V, W, X)) | (~ssNder1_5r1r1r1r1r1(U, V, W, X, Y)) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z)) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))), ((((((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, 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)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), (((((((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, 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)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | 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)) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | 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) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))), (((((((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, 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) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)))), ((((((((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, 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)) | 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)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, 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) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | 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)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, 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) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9)) | 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)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))), ((((((((((((((((((((~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7))) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, 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)) | 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)) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))))),
% 1.39/1.23 inference(bind,[status(th)],[])).
% 1.39/1.23 tff(609,plain,
% 1.39/1.23 (![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))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, 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)) | ssPv20_1r1(U)) <=> ![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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))),
% 1.39/1.23 inference(quant_intro,[status(thm)],[608])).
% 1.39/1.23 tff(610,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))) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5))) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4))) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3))) | (~ssNder1_8r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2))) | (~ssNder1_7r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1))) | (~ssNder1_6r1r1r1r1r1r1(U, V, W, X, Y, Z))) | (~ssNder1_5r1r1r1r1r1(U, 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)) | ssPv20_1r1(U))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause39')).
% 1.39/1.23 tff(611,plain,
% 1.39/1.23 (![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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))),
% 1.39/1.23 inference(modus_ponens,[status(thm)],[610, 609])).
% 1.39/1.23 tff(612,plain,
% 1.39/1.23 (![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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))),
% 1.39/1.23 inference(modus_ponens,[status(thm)],[611, 607])).
% 1.39/1.23 tff(613,plain,
% 1.39/1.23 (![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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))),
% 1.39/1.23 inference(modus_ponens,[status(thm)],[612, 605])).
% 1.39/1.23 tff(614,plain,(
% 1.39/1.23 ![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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))),
% 1.39/1.23 inference(skolemize,[status(sab)],[613])).
% 1.39/1.23 tff(615,plain,
% 1.39/1.23 (![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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))),
% 1.39/1.23 inference(modus_ponens,[status(thm)],[614, 604])).
% 1.39/1.23 tff(616,plain,
% 1.39/1.23 (((~![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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | ssPv20_1r1(elem!0) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | ssPv19_2r1r1(elem!0, elem!0) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21)))) <=> ((~![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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | ssPv20_1r1(elem!0) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | ssPv19_2r1r1(elem!0, elem!0) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21)))),
% 1.39/1.23 inference(rewrite,[status(thm)],[])).
% 1.39/1.23 tff(617,plain,
% 1.39/1.23 (((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, 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)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv20_1r1(elem!0) | ssPv19_2r1r1(elem!0, elem!0) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19)) <=> (ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | ssPv20_1r1(elem!0) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | ssPv19_2r1r1(elem!0, elem!0) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21)))),
% 1.39/1.23 inference(rewrite,[status(thm)],[])).
% 1.39/1.23 tff(618,plain,
% 1.39/1.23 (((~![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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv20_1r1(elem!0) | ssPv19_2r1r1(elem!0, elem!0) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, 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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | (ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | ssPv20_1r1(elem!0) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | ssPv19_2r1r1(elem!0, elem!0) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21))))),
% 1.39/1.23 inference(monotonicity,[status(thm)],[617])).
% 1.39/1.23 tff(619,plain,
% 1.39/1.23 (((~![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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv20_1r1(elem!0) | ssPv19_2r1r1(elem!0, elem!0) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, 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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | ssPv20_1r1(elem!0) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | ssPv19_2r1r1(elem!0, elem!0) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21)))),
% 1.39/1.24 inference(transitivity,[status(thm)],[618, 616])).
% 1.39/1.24 tff(620,plain,
% 1.39/1.24 ((~![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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | ((~ssNder1_1r1(elem!0)) | (~ssNder1_2r1r1(elem!0, elem!0)) | (~ssNder1_3r1r1r1(elem!0, elem!0, elem!0)) | (~ssNder1_4r1r1r1r1(elem!0, elem!0, elem!0, elem!0)) | (~ssNder1_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21)) | ssPv20_1r1(elem!0) | ssPv19_2r1r1(elem!0, elem!0) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19))),
% 1.39/1.24 inference(quant_inst,[status(thm)],[])).
% 1.39/1.24 tff(621,plain,
% 1.39/1.24 ((~![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)) | ssPv20_1r1(U) | ssPv19_2r1r1(U, V) | ssPv16_5r1r1r1r1r1(U, V, W, X, Y) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U, V, W, X, Y, Z, X1, X2, X3, X4, X5, X6, X7, X8, X9))) | ssPv16_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31) | (~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_5r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31)) | (~ssNder1_7r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27)) | (~ssNder1_6r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28)) | (~ssNder1_9r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24)) | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21, skc19) | (~ssNder1_8r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24)) | (~ssNder1_10r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24)) | ssPv20_1r1(elem!0) | (~ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23)) | (~ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24)) | ssPv19_2r1r1(elem!0, elem!0) | (~ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24)) | (~ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(elem!0, elem!0, elem!0, elem!0, skc31, skc28, skc27, skc24, skc24, skc24, skc24, skc24, skc23, skc21))),
% 1.39/1.24 inference(modus_ponens,[status(thm)],[620, 619])).
% 1.39/1.24 tff(622,plain,
% 1.39/1.24 ($false),
% 1.39/1.24 inference(unit_resolution,[status(thm)],[621, 615, 13, 30, 47, 67, 434, 87, 107, 127, 147, 167, 187, 207, 227, 602, 455, 247, 285, 265])).
% 1.39/1.25 % SZS output end Proof
%------------------------------------------------------------------------------