TSTP Solution File: SYN102-1.007.007 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN102-1.007.007 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n002.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 23:53:45 EDT 2022
% Result : Unsatisfiable 0.19s 0.41s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN102-1.007.007 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Sep 5 01:59:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.19/0.41 % SZS status Unsatisfiable
% 0.19/0.41 % SZS output start Proof
% 0.19/0.41 tff(p_2_type, type, (
% 0.19/0.41 p_2: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 0.19/0.41 tff(a_type, type, (
% 0.19/0.41 a: $i)).
% 0.19/0.41 tff(p_0_type, type, (
% 0.19/0.41 p_0: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 0.19/0.41 tff(q_0_type, type, (
% 0.19/0.41 q_0: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 0.19/0.41 tff(p_1_type, type, (
% 0.19/0.41 p_1: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 0.19/0.41 tff(q_3_type, type, (
% 0.19/0.41 q_3: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 0.19/0.41 tff(q_4_type, type, (
% 0.19/0.41 q_4: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 0.19/0.41 tff(p_5_type, type, (
% 0.19/0.41 p_5: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 0.19/0.41 tff(q_6_type, type, (
% 0.19/0.41 q_6: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 0.19/0.41 tff(q_7_type, type, (
% 0.19/0.41 q_7: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 0.19/0.41 tff(p_8_type, type, (
% 0.19/0.41 p_8: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 0.19/0.41 tff(q_9_type, type, (
% 0.19/0.41 q_9: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 0.19/0.41 tff(p_11_type, type, (
% 0.19/0.41 p_11: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 0.19/0.41 tff(q_13_type, type, (
% 0.19/0.41 q_13: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 0.19/0.42 tff(nq_7_type, type, (
% 0.19/0.42 nq_7: $i > $o)).
% 0.19/0.42 tff(nq_6_type, type, (
% 0.19/0.42 nq_6: $i > $o)).
% 0.19/0.42 tff(nq_5_type, type, (
% 0.19/0.42 nq_5: $i > $o)).
% 0.19/0.42 tff(nq_4_type, type, (
% 0.19/0.42 nq_4: $i > $o)).
% 0.19/0.42 tff(nq_3_type, type, (
% 0.19/0.42 nq_3: $i > $o)).
% 0.19/0.42 tff(nq_2_type, type, (
% 0.19/0.42 nq_2: $i > $o)).
% 0.19/0.42 tff(nq_1_type, type, (
% 0.19/0.42 nq_1: $i > $o)).
% 0.19/0.42 tff(q_12_type, type, (
% 0.19/0.42 q_12: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 0.19/0.42 tff(q_10_type, type, (
% 0.19/0.42 q_10: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 0.19/0.42 tff(q_2_type, type, (
% 0.19/0.42 q_2: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 0.19/0.42 tff(p_3_type, type, (
% 0.19/0.42 p_3: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 0.19/0.42 tff(p_4_type, type, (
% 0.19/0.42 p_4: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 0.19/0.42 tff(q_5_type, type, (
% 0.19/0.42 q_5: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 0.19/0.42 tff(p_7_type, type, (
% 0.19/0.42 p_7: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 0.19/0.42 tff(p_9_type, type, (
% 0.19/0.42 p_9: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 0.19/0.42 tff(q_11_type, type, (
% 0.19/0.42 q_11: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 0.19/0.42 tff(p_12_type, type, (
% 0.19/0.42 p_12: ( $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 0.19/0.42 tff(1,assumption,(~q_3(a, a, a, a, a, a, a)), introduced(assumption)).
% 0.19/0.42 tff(2,assumption,(~q_13(a, a, a, a, a, a, a)), introduced(assumption)).
% 0.19/0.42 tff(3,plain,
% 0.19/0.42 (nq_7(a) <=> nq_7(a)),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(4,axiom,(nq_7(a)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','n_13')).
% 0.19/0.42 tff(5,plain,
% 0.19/0.42 (nq_7(a)),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.19/0.42 tff(6,plain,
% 0.19/0.42 (nq_6(a) <=> nq_6(a)),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(7,axiom,(nq_6(a)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','n_11')).
% 0.19/0.42 tff(8,plain,
% 0.19/0.42 (nq_6(a)),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.19/0.42 tff(9,plain,
% 0.19/0.42 (nq_5(a) <=> nq_5(a)),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(10,axiom,(nq_5(a)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','n_9')).
% 0.19/0.42 tff(11,plain,
% 0.19/0.42 (nq_5(a)),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[10, 9])).
% 0.19/0.42 tff(12,plain,
% 0.19/0.42 (nq_4(a) <=> nq_4(a)),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(13,axiom,(nq_4(a)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','n_7')).
% 0.19/0.42 tff(14,plain,
% 0.19/0.42 (nq_4(a)),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.19/0.42 tff(15,plain,
% 0.19/0.42 (nq_3(a) <=> nq_3(a)),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(16,axiom,(nq_3(a)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','n_5')).
% 0.19/0.42 tff(17,plain,
% 0.19/0.42 (nq_3(a)),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.19/0.42 tff(18,plain,
% 0.19/0.42 (nq_2(a) <=> nq_2(a)),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(19,axiom,(nq_2(a)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','n_3')).
% 0.19/0.42 tff(20,plain,
% 0.19/0.42 (nq_2(a)),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.19/0.42 tff(21,plain,
% 0.19/0.42 (nq_1(a) <=> nq_1(a)),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(22,axiom,(nq_1(a)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','n_1')).
% 0.19/0.42 tff(23,plain,
% 0.19/0.42 (nq_1(a)),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.19/0.42 tff(24,plain,
% 0.19/0.42 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : refl((q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))) <=> (q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(25,plain,
% 0.19/0.42 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[24])).
% 0.19/0.42 tff(26,plain,
% 0.19/0.42 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(27,plain,
% 0.19/0.42 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) <=> (q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1)))), (((q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) <=> ((q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))))), rewrite(((q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) <=> (q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_2(X_2)) | (~nq_1(X_1)))), (((q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) <=> (q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_2(X_2)) | (~nq_1(X_1))))), ((((q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) <=> ((q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_2(X_2)) | (~nq_1(X_1))) | (~nq_3(X_3))))), rewrite(((q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_2(X_2)) | (~nq_1(X_1))) | (~nq_3(X_3))) <=> (q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))), ((((q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) <=> (q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))))), (((((q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) | (~nq_4(X_4))) <=> ((q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))) | (~nq_4(X_4))))), rewrite(((q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))) | (~nq_4(X_4))) <=> (q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))), (((((q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) | (~nq_4(X_4))) <=> (q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))))), ((((((q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) | (~nq_4(X_4))) | (~nq_5(X_5))) <=> ((q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))) | (~nq_5(X_5))))), rewrite(((q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))) | (~nq_5(X_5))) <=> (q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))), ((((((q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) | (~nq_4(X_4))) | (~nq_5(X_5))) <=> (q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))))), (((((((q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) | (~nq_4(X_4))) | (~nq_5(X_5))) | (~nq_6(X_6))) <=> ((q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))) | (~nq_6(X_6))))), rewrite(((q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))) | (~nq_6(X_6))) <=> (q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))), (((((((q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) | (~nq_4(X_4))) | (~nq_5(X_5))) | (~nq_6(X_6))) <=> (q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))))), ((((((((q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) | (~nq_4(X_4))) | (~nq_5(X_5))) | (~nq_6(X_6))) | (~nq_7(X_7))) <=> ((q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))) | (~nq_7(X_7))))), rewrite(((q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))) | (~nq_7(X_7))) <=> (q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))), ((((((((q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) | (~nq_4(X_4))) | (~nq_5(X_5))) | (~nq_6(X_6))) | (~nq_7(X_7))) <=> (q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(28,plain,
% 0.19/0.42 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (((((((q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) | (~nq_4(X_4))) | (~nq_5(X_5))) | (~nq_6(X_6))) | (~nq_7(X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[27])).
% 0.19/0.42 tff(29,axiom,(![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (((((((q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) | (~nq_4(X_4))) | (~nq_5(X_5))) | (~nq_6(X_6))) | (~nq_7(X_7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','n_t3_4')).
% 0.19/0.42 tff(30,plain,
% 0.19/0.42 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[29, 28])).
% 0.19/0.42 tff(31,plain,
% 0.19/0.42 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[30, 26])).
% 0.19/0.42 tff(32,plain,(
% 0.19/0.42 ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))),
% 0.19/0.42 inference(skolemize,[status(sab)],[31])).
% 0.19/0.42 tff(33,plain,
% 0.19/0.42 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[32, 25])).
% 0.19/0.42 tff(34,plain,
% 0.19/0.42 (((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))) | (q_13(a, a, a, a, a, a, a) | (~nq_7(a)) | (~nq_6(a)) | (~nq_5(a)) | (~nq_4(a)) | (~nq_3(a)) | (~nq_2(a)) | (~nq_1(a)))) <=> ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))) | q_13(a, a, a, a, a, a, a) | (~nq_7(a)) | (~nq_6(a)) | (~nq_5(a)) | (~nq_4(a)) | (~nq_3(a)) | (~nq_2(a)) | (~nq_1(a)))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(35,plain,
% 0.19/0.42 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))) | (q_13(a, a, a, a, a, a, a) | (~nq_7(a)) | (~nq_6(a)) | (~nq_5(a)) | (~nq_4(a)) | (~nq_3(a)) | (~nq_2(a)) | (~nq_1(a)))),
% 0.19/0.42 inference(quant_inst,[status(thm)],[])).
% 0.19/0.42 tff(36,plain,
% 0.19/0.42 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))) | q_13(a, a, a, a, a, a, a) | (~nq_7(a)) | (~nq_6(a)) | (~nq_5(a)) | (~nq_4(a)) | (~nq_3(a)) | (~nq_2(a)) | (~nq_1(a))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.19/0.42 tff(37,plain,
% 0.19/0.42 ($false),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[36, 33, 23, 20, 17, 14, 11, 8, 5, 2])).
% 0.19/0.42 tff(38,plain,(q_13(a, a, a, a, a, a, a)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.42 tff(39,assumption,(~q_12(a, a, a, a, a, a, a)), introduced(assumption)).
% 0.19/0.42 tff(40,plain,
% 0.19/0.42 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : refl((q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))) <=> (q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(41,plain,
% 0.19/0.42 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[40])).
% 0.19/0.42 tff(42,plain,
% 0.19/0.42 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(43,plain,
% 0.19/0.42 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) <=> (q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1)))), (((q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) <=> ((q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))))), rewrite(((q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) <=> (q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_2(X_2)) | (~nq_1(X_1)))), (((q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) <=> (q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_2(X_2)) | (~nq_1(X_1))))), ((((q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) <=> ((q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_2(X_2)) | (~nq_1(X_1))) | (~nq_3(X_3))))), rewrite(((q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_2(X_2)) | (~nq_1(X_1))) | (~nq_3(X_3))) <=> (q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))), ((((q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) <=> (q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))))), (((((q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) | (~nq_4(X_4))) <=> ((q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))) | (~nq_4(X_4))))), rewrite(((q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))) | (~nq_4(X_4))) <=> (q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))), (((((q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) | (~nq_4(X_4))) <=> (q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))))), ((((((q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) | (~nq_4(X_4))) | (~nq_5(X_5))) <=> ((q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))) | (~nq_5(X_5))))), rewrite(((q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))) | (~nq_5(X_5))) <=> (q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))), ((((((q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) | (~nq_4(X_4))) | (~nq_5(X_5))) <=> (q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))))), (((((((q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) | (~nq_4(X_4))) | (~nq_5(X_5))) | (~nq_6(X_6))) <=> ((q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))) | (~nq_6(X_6))))), rewrite(((q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))) | (~nq_6(X_6))) <=> (q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))), (((((((q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) | (~nq_4(X_4))) | (~nq_5(X_5))) | (~nq_6(X_6))) <=> (q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))))), ((((((((q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) | (~nq_4(X_4))) | (~nq_5(X_5))) | (~nq_6(X_6))) | (~nq_7(X_7))) <=> ((q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))) | (~nq_7(X_7))))), rewrite(((q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))) | (~nq_7(X_7))) <=> (q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))), ((((((((q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) | (~nq_4(X_4))) | (~nq_5(X_5))) | (~nq_6(X_6))) | (~nq_7(X_7))) <=> (q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(44,plain,
% 0.19/0.42 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (((((((q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) | (~nq_4(X_4))) | (~nq_5(X_5))) | (~nq_6(X_6))) | (~nq_7(X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[43])).
% 0.19/0.42 tff(45,axiom,(![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (((((((q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) | (~nq_4(X_4))) | (~nq_5(X_5))) | (~nq_6(X_6))) | (~nq_7(X_7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','n_t3_3')).
% 0.19/0.43 tff(46,plain,
% 0.19/0.43 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[45, 44])).
% 0.19/0.43 tff(47,plain,
% 0.19/0.43 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[46, 42])).
% 0.19/0.43 tff(48,plain,(
% 0.19/0.43 ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))),
% 0.19/0.43 inference(skolemize,[status(sab)],[47])).
% 0.19/0.43 tff(49,plain,
% 0.19/0.43 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[48, 41])).
% 0.19/0.43 tff(50,plain,
% 0.19/0.43 (((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))) | (q_12(a, a, a, a, a, a, a) | (~nq_7(a)) | (~nq_6(a)) | (~nq_5(a)) | (~nq_4(a)) | (~nq_3(a)) | (~nq_2(a)) | (~nq_1(a)))) <=> ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))) | q_12(a, a, a, a, a, a, a) | (~nq_7(a)) | (~nq_6(a)) | (~nq_5(a)) | (~nq_4(a)) | (~nq_3(a)) | (~nq_2(a)) | (~nq_1(a)))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(51,plain,
% 0.19/0.43 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))) | (q_12(a, a, a, a, a, a, a) | (~nq_7(a)) | (~nq_6(a)) | (~nq_5(a)) | (~nq_4(a)) | (~nq_3(a)) | (~nq_2(a)) | (~nq_1(a)))),
% 0.19/0.43 inference(quant_inst,[status(thm)],[])).
% 0.19/0.43 tff(52,plain,
% 0.19/0.43 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))) | q_12(a, a, a, a, a, a, a) | (~nq_7(a)) | (~nq_6(a)) | (~nq_5(a)) | (~nq_4(a)) | (~nq_3(a)) | (~nq_2(a)) | (~nq_1(a))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[51, 50])).
% 0.19/0.43 tff(53,plain,
% 0.19/0.43 ($false),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[52, 49, 23, 20, 17, 14, 11, 8, 5, 39])).
% 0.19/0.43 tff(54,plain,(q_12(a, a, a, a, a, a, a)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.43 tff(55,plain,
% 0.19/0.43 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : refl((p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(56,plain,
% 0.19/0.43 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[55])).
% 0.19/0.43 tff(57,plain,
% 0.19/0.43 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(58,plain,
% 0.19/0.43 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : trans(monotonicity(rewrite((p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ((p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))), rewrite(((p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(59,plain,
% 0.19/0.43 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[58])).
% 0.19/0.43 tff(60,axiom,(![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','n_s3_type11_24')).
% 0.19/0.43 tff(61,plain,
% 0.19/0.43 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.19/0.43 tff(62,plain,
% 0.19/0.43 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[61, 57])).
% 0.19/0.43 tff(63,plain,(
% 0.19/0.43 ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.43 inference(skolemize,[status(sab)],[62])).
% 0.19/0.43 tff(64,plain,
% 0.19/0.43 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[63, 56])).
% 0.19/0.43 tff(65,plain,
% 0.19/0.43 (((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | ((~q_13(a, a, a, a, a, a, a)) | p_11(a, a, a, a, a, a, a) | (~q_12(a, a, a, a, a, a, a)))) <=> ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (~q_13(a, a, a, a, a, a, a)) | p_11(a, a, a, a, a, a, a) | (~q_12(a, a, a, a, a, a, a)))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(66,plain,
% 0.19/0.43 ((p_11(a, a, a, a, a, a, a) | (~q_12(a, a, a, a, a, a, a)) | (~q_13(a, a, a, a, a, a, a))) <=> ((~q_13(a, a, a, a, a, a, a)) | p_11(a, a, a, a, a, a, a) | (~q_12(a, a, a, a, a, a, a)))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(67,plain,
% 0.19/0.43 (((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (p_11(a, a, a, a, a, a, a) | (~q_12(a, a, a, a, a, a, a)) | (~q_13(a, a, a, a, a, a, a)))) <=> ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | ((~q_13(a, a, a, a, a, a, a)) | p_11(a, a, a, a, a, a, a) | (~q_12(a, a, a, a, a, a, a))))),
% 0.19/0.43 inference(monotonicity,[status(thm)],[66])).
% 0.19/0.43 tff(68,plain,
% 0.19/0.43 (((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (p_11(a, a, a, a, a, a, a) | (~q_12(a, a, a, a, a, a, a)) | (~q_13(a, a, a, a, a, a, a)))) <=> ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (~q_13(a, a, a, a, a, a, a)) | p_11(a, a, a, a, a, a, a) | (~q_12(a, a, a, a, a, a, a)))),
% 0.19/0.43 inference(transitivity,[status(thm)],[67, 65])).
% 0.19/0.43 tff(69,plain,
% 0.19/0.43 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (p_11(a, a, a, a, a, a, a) | (~q_12(a, a, a, a, a, a, a)) | (~q_13(a, a, a, a, a, a, a)))),
% 0.19/0.43 inference(quant_inst,[status(thm)],[])).
% 0.19/0.43 tff(70,plain,
% 0.19/0.43 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (~q_13(a, a, a, a, a, a, a)) | p_11(a, a, a, a, a, a, a) | (~q_12(a, a, a, a, a, a, a))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[69, 68])).
% 0.19/0.43 tff(71,plain,
% 0.19/0.43 ((~q_13(a, a, a, a, a, a, a)) | p_11(a, a, a, a, a, a, a)),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[70, 64, 54])).
% 0.19/0.43 tff(72,plain,
% 0.19/0.43 (p_11(a, a, a, a, a, a, a)),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[71, 38])).
% 0.19/0.43 tff(73,plain,
% 0.19/0.43 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : refl((q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(74,plain,
% 0.19/0.43 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[73])).
% 0.19/0.43 tff(75,plain,
% 0.19/0.43 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(76,plain,
% 0.19/0.43 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : trans(monotonicity(rewrite((q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ((q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))), rewrite(((q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))))),
% 0.19/0.44 inference(bind,[status(th)],[])).
% 0.19/0.44 tff(77,plain,
% 0.19/0.44 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.44 inference(quant_intro,[status(thm)],[76])).
% 0.19/0.44 tff(78,axiom,(![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','n_s3_type12_21')).
% 0.19/0.44 tff(79,plain,
% 0.19/0.44 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[78, 77])).
% 0.19/0.44 tff(80,plain,
% 0.19/0.44 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[79, 75])).
% 0.19/0.44 tff(81,plain,(
% 0.19/0.44 ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.44 inference(skolemize,[status(sab)],[80])).
% 0.19/0.44 tff(82,plain,
% 0.19/0.44 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[81, 74])).
% 0.19/0.44 tff(83,plain,
% 0.19/0.44 (((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (q_10(a, a, a, a, a, a, a) | (~p_11(a, a, a, a, a, a, a)) | (~q_12(a, a, a, a, a, a, a)))) <=> ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | q_10(a, a, a, a, a, a, a) | (~p_11(a, a, a, a, a, a, a)) | (~q_12(a, a, a, a, a, a, a)))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(84,plain,
% 0.19/0.44 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (q_10(a, a, a, a, a, a, a) | (~p_11(a, a, a, a, a, a, a)) | (~q_12(a, a, a, a, a, a, a)))),
% 0.19/0.44 inference(quant_inst,[status(thm)],[])).
% 0.19/0.44 tff(85,plain,
% 0.19/0.44 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | q_10(a, a, a, a, a, a, a) | (~p_11(a, a, a, a, a, a, a)) | (~q_12(a, a, a, a, a, a, a))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[84, 83])).
% 0.19/0.44 tff(86,plain,
% 0.19/0.44 (q_10(a, a, a, a, a, a, a) | (~p_11(a, a, a, a, a, a, a))),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[85, 82, 54])).
% 0.19/0.44 tff(87,plain,
% 0.19/0.44 (q_10(a, a, a, a, a, a, a)),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[86, 72])).
% 0.19/0.44 tff(88,plain,
% 0.19/0.44 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : refl((q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))),
% 0.19/0.44 inference(bind,[status(th)],[])).
% 0.19/0.44 tff(89,plain,
% 0.19/0.44 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.44 inference(quant_intro,[status(thm)],[88])).
% 0.19/0.44 tff(90,plain,
% 0.19/0.44 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(91,plain,
% 0.19/0.44 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : trans(monotonicity(rewrite((q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ((q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))), rewrite(((q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))))),
% 0.19/0.44 inference(bind,[status(th)],[])).
% 0.19/0.44 tff(92,plain,
% 0.19/0.44 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.44 inference(quant_intro,[status(thm)],[91])).
% 0.19/0.44 tff(93,axiom,(![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','n_s3_type12_20')).
% 0.19/0.44 tff(94,plain,
% 0.19/0.44 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[93, 92])).
% 0.19/0.44 tff(95,plain,
% 0.19/0.44 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[94, 90])).
% 0.19/0.44 tff(96,plain,(
% 0.19/0.44 ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.44 inference(skolemize,[status(sab)],[95])).
% 0.19/0.44 tff(97,plain,
% 0.19/0.44 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[96, 89])).
% 0.19/0.44 tff(98,plain,
% 0.19/0.44 (((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (q_9(a, a, a, a, a, a, a) | (~q_10(a, a, a, a, a, a, a)) | (~p_11(a, a, a, a, a, a, a)))) <=> ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | q_9(a, a, a, a, a, a, a) | (~q_10(a, a, a, a, a, a, a)) | (~p_11(a, a, a, a, a, a, a)))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(99,plain,
% 0.19/0.44 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (q_9(a, a, a, a, a, a, a) | (~q_10(a, a, a, a, a, a, a)) | (~p_11(a, a, a, a, a, a, a)))),
% 0.19/0.44 inference(quant_inst,[status(thm)],[])).
% 0.19/0.44 tff(100,plain,
% 0.19/0.44 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | q_9(a, a, a, a, a, a, a) | (~q_10(a, a, a, a, a, a, a)) | (~p_11(a, a, a, a, a, a, a))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[99, 98])).
% 0.19/0.44 tff(101,plain,
% 0.19/0.44 (q_9(a, a, a, a, a, a, a)),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[100, 97, 87, 72])).
% 0.19/0.44 tff(102,plain,
% 0.19/0.44 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : refl((p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))),
% 0.19/0.44 inference(bind,[status(th)],[])).
% 0.19/0.44 tff(103,plain,
% 0.19/0.44 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.44 inference(quant_intro,[status(thm)],[102])).
% 0.19/0.44 tff(104,plain,
% 0.19/0.44 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(105,plain,
% 0.19/0.44 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : trans(monotonicity(rewrite((p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ((p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))), rewrite(((p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(106,plain,
% 0.19/0.45 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[105])).
% 0.19/0.45 tff(107,axiom,(![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','n_s3_type11_18')).
% 0.19/0.45 tff(108,plain,
% 0.19/0.45 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[107, 106])).
% 0.19/0.45 tff(109,plain,
% 0.19/0.45 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[108, 104])).
% 0.19/0.45 tff(110,plain,(
% 0.19/0.45 ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.45 inference(skolemize,[status(sab)],[109])).
% 0.19/0.45 tff(111,plain,
% 0.19/0.45 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[110, 103])).
% 0.19/0.45 tff(112,plain,
% 0.19/0.45 (((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (p_8(a, a, a, a, a, a, a) | (~q_9(a, a, a, a, a, a, a)) | (~q_10(a, a, a, a, a, a, a)))) <=> ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | p_8(a, a, a, a, a, a, a) | (~q_9(a, a, a, a, a, a, a)) | (~q_10(a, a, a, a, a, a, a)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(113,plain,
% 0.19/0.45 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (p_8(a, a, a, a, a, a, a) | (~q_9(a, a, a, a, a, a, a)) | (~q_10(a, a, a, a, a, a, a)))),
% 0.19/0.45 inference(quant_inst,[status(thm)],[])).
% 0.19/0.45 tff(114,plain,
% 0.19/0.45 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | p_8(a, a, a, a, a, a, a) | (~q_9(a, a, a, a, a, a, a)) | (~q_10(a, a, a, a, a, a, a))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[113, 112])).
% 0.19/0.45 tff(115,plain,
% 0.19/0.45 (p_8(a, a, a, a, a, a, a)),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[114, 111, 87, 101])).
% 0.19/0.45 tff(116,plain,
% 0.19/0.45 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : refl((q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(117,plain,
% 0.19/0.45 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[116])).
% 0.19/0.45 tff(118,plain,
% 0.19/0.45 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(119,plain,
% 0.19/0.45 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : trans(monotonicity(rewrite((q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ((q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))), rewrite(((q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(120,plain,
% 0.19/0.45 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[119])).
% 0.19/0.45 tff(121,axiom,(![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','n_s3_type12_15')).
% 0.19/0.45 tff(122,plain,
% 0.19/0.45 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[121, 120])).
% 0.19/0.45 tff(123,plain,
% 0.19/0.45 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[122, 118])).
% 0.19/0.45 tff(124,plain,(
% 0.19/0.45 ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.45 inference(skolemize,[status(sab)],[123])).
% 0.19/0.45 tff(125,plain,
% 0.19/0.45 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[124, 117])).
% 0.19/0.45 tff(126,plain,
% 0.19/0.45 (((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (q_7(a, a, a, a, a, a, a) | (~p_8(a, a, a, a, a, a, a)) | (~q_9(a, a, a, a, a, a, a)))) <=> ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | q_7(a, a, a, a, a, a, a) | (~p_8(a, a, a, a, a, a, a)) | (~q_9(a, a, a, a, a, a, a)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(127,plain,
% 0.19/0.45 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (q_7(a, a, a, a, a, a, a) | (~p_8(a, a, a, a, a, a, a)) | (~q_9(a, a, a, a, a, a, a)))),
% 0.19/0.45 inference(quant_inst,[status(thm)],[])).
% 0.19/0.45 tff(128,plain,
% 0.19/0.45 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | q_7(a, a, a, a, a, a, a) | (~p_8(a, a, a, a, a, a, a)) | (~q_9(a, a, a, a, a, a, a))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[127, 126])).
% 0.19/0.45 tff(129,plain,
% 0.19/0.45 (q_7(a, a, a, a, a, a, a)),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[128, 125, 101, 115])).
% 0.19/0.45 tff(130,plain,
% 0.19/0.45 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : refl((q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(131,plain,
% 0.19/0.45 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[130])).
% 0.19/0.45 tff(132,plain,
% 0.19/0.45 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(133,plain,
% 0.19/0.45 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : trans(monotonicity(rewrite((q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ((q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))), rewrite(((q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(134,plain,
% 0.19/0.45 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[133])).
% 0.19/0.45 tff(135,axiom,(![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','n_s3_type12_14')).
% 0.19/0.45 tff(136,plain,
% 0.19/0.45 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[135, 134])).
% 0.19/0.45 tff(137,plain,
% 0.19/0.45 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[136, 132])).
% 0.19/0.45 tff(138,plain,(
% 0.19/0.45 ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.45 inference(skolemize,[status(sab)],[137])).
% 0.19/0.45 tff(139,plain,
% 0.19/0.45 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[138, 131])).
% 0.19/0.45 tff(140,plain,
% 0.19/0.45 (((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (q_6(a, a, a, a, a, a, a) | (~q_7(a, a, a, a, a, a, a)) | (~p_8(a, a, a, a, a, a, a)))) <=> ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | q_6(a, a, a, a, a, a, a) | (~q_7(a, a, a, a, a, a, a)) | (~p_8(a, a, a, a, a, a, a)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(141,plain,
% 0.19/0.45 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (q_6(a, a, a, a, a, a, a) | (~q_7(a, a, a, a, a, a, a)) | (~p_8(a, a, a, a, a, a, a)))),
% 0.19/0.45 inference(quant_inst,[status(thm)],[])).
% 0.19/0.45 tff(142,plain,
% 0.19/0.45 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | q_6(a, a, a, a, a, a, a) | (~q_7(a, a, a, a, a, a, a)) | (~p_8(a, a, a, a, a, a, a))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[141, 140])).
% 0.19/0.45 tff(143,plain,
% 0.19/0.45 (q_6(a, a, a, a, a, a, a)),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[142, 139, 115, 129])).
% 0.19/0.45 tff(144,plain,
% 0.19/0.45 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : refl((p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(145,plain,
% 0.19/0.45 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[144])).
% 0.19/0.45 tff(146,plain,
% 0.19/0.45 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(147,plain,
% 0.19/0.46 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : trans(monotonicity(rewrite((p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ((p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))), rewrite(((p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(148,plain,
% 0.19/0.46 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[147])).
% 0.19/0.46 tff(149,axiom,(![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','n_s3_type11_12')).
% 0.19/0.46 tff(150,plain,
% 0.19/0.46 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[149, 148])).
% 0.19/0.46 tff(151,plain,
% 0.19/0.46 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[150, 146])).
% 0.19/0.46 tff(152,plain,(
% 0.19/0.46 ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.46 inference(skolemize,[status(sab)],[151])).
% 0.19/0.46 tff(153,plain,
% 0.19/0.46 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[152, 145])).
% 0.19/0.46 tff(154,plain,
% 0.19/0.46 (((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | ((~q_6(a, a, a, a, a, a, a)) | p_5(a, a, a, a, a, a, a) | (~q_7(a, a, a, a, a, a, a)))) <=> ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (~q_6(a, a, a, a, a, a, a)) | p_5(a, a, a, a, a, a, a) | (~q_7(a, a, a, a, a, a, a)))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(155,plain,
% 0.19/0.46 ((p_5(a, a, a, a, a, a, a) | (~q_6(a, a, a, a, a, a, a)) | (~q_7(a, a, a, a, a, a, a))) <=> ((~q_6(a, a, a, a, a, a, a)) | p_5(a, a, a, a, a, a, a) | (~q_7(a, a, a, a, a, a, a)))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(156,plain,
% 0.19/0.46 (((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (p_5(a, a, a, a, a, a, a) | (~q_6(a, a, a, a, a, a, a)) | (~q_7(a, a, a, a, a, a, a)))) <=> ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | ((~q_6(a, a, a, a, a, a, a)) | p_5(a, a, a, a, a, a, a) | (~q_7(a, a, a, a, a, a, a))))),
% 0.19/0.46 inference(monotonicity,[status(thm)],[155])).
% 0.19/0.46 tff(157,plain,
% 0.19/0.46 (((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (p_5(a, a, a, a, a, a, a) | (~q_6(a, a, a, a, a, a, a)) | (~q_7(a, a, a, a, a, a, a)))) <=> ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (~q_6(a, a, a, a, a, a, a)) | p_5(a, a, a, a, a, a, a) | (~q_7(a, a, a, a, a, a, a)))),
% 0.19/0.46 inference(transitivity,[status(thm)],[156, 154])).
% 0.19/0.46 tff(158,plain,
% 0.19/0.46 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (p_5(a, a, a, a, a, a, a) | (~q_6(a, a, a, a, a, a, a)) | (~q_7(a, a, a, a, a, a, a)))),
% 0.19/0.46 inference(quant_inst,[status(thm)],[])).
% 0.19/0.46 tff(159,plain,
% 0.19/0.46 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (~q_6(a, a, a, a, a, a, a)) | p_5(a, a, a, a, a, a, a) | (~q_7(a, a, a, a, a, a, a))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[158, 157])).
% 0.19/0.46 tff(160,plain,
% 0.19/0.46 (p_5(a, a, a, a, a, a, a)),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[159, 153, 129, 143])).
% 0.19/0.46 tff(161,plain,
% 0.19/0.46 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : refl((q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(162,plain,
% 0.19/0.46 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[161])).
% 0.19/0.46 tff(163,plain,
% 0.19/0.46 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(164,plain,
% 0.19/0.46 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : trans(monotonicity(rewrite((q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ((q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))), rewrite(((q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(165,plain,
% 0.19/0.47 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[164])).
% 0.19/0.47 tff(166,axiom,(![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','n_s3_type12_9')).
% 0.19/0.47 tff(167,plain,
% 0.19/0.47 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[166, 165])).
% 0.19/0.47 tff(168,plain,
% 0.19/0.47 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[167, 163])).
% 0.19/0.47 tff(169,plain,(
% 0.19/0.47 ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.47 inference(skolemize,[status(sab)],[168])).
% 0.19/0.47 tff(170,plain,
% 0.19/0.47 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[169, 162])).
% 0.19/0.47 tff(171,plain,
% 0.19/0.47 (((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (q_4(a, a, a, a, a, a, a) | (~q_6(a, a, a, a, a, a, a)) | (~p_5(a, a, a, a, a, a, a)))) <=> ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | q_4(a, a, a, a, a, a, a) | (~q_6(a, a, a, a, a, a, a)) | (~p_5(a, a, a, a, a, a, a)))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(172,plain,
% 0.19/0.47 ((q_4(a, a, a, a, a, a, a) | (~p_5(a, a, a, a, a, a, a)) | (~q_6(a, a, a, a, a, a, a))) <=> (q_4(a, a, a, a, a, a, a) | (~q_6(a, a, a, a, a, a, a)) | (~p_5(a, a, a, a, a, a, a)))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(173,plain,
% 0.19/0.47 (((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (q_4(a, a, a, a, a, a, a) | (~p_5(a, a, a, a, a, a, a)) | (~q_6(a, a, a, a, a, a, a)))) <=> ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (q_4(a, a, a, a, a, a, a) | (~q_6(a, a, a, a, a, a, a)) | (~p_5(a, a, a, a, a, a, a))))),
% 0.19/0.47 inference(monotonicity,[status(thm)],[172])).
% 0.19/0.47 tff(174,plain,
% 0.19/0.47 (((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (q_4(a, a, a, a, a, a, a) | (~p_5(a, a, a, a, a, a, a)) | (~q_6(a, a, a, a, a, a, a)))) <=> ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | q_4(a, a, a, a, a, a, a) | (~q_6(a, a, a, a, a, a, a)) | (~p_5(a, a, a, a, a, a, a)))),
% 0.19/0.47 inference(transitivity,[status(thm)],[173, 171])).
% 0.19/0.47 tff(175,plain,
% 0.19/0.47 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (q_4(a, a, a, a, a, a, a) | (~p_5(a, a, a, a, a, a, a)) | (~q_6(a, a, a, a, a, a, a)))),
% 0.19/0.47 inference(quant_inst,[status(thm)],[])).
% 0.19/0.47 tff(176,plain,
% 0.19/0.47 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | q_4(a, a, a, a, a, a, a) | (~q_6(a, a, a, a, a, a, a)) | (~p_5(a, a, a, a, a, a, a))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[175, 174])).
% 0.19/0.47 tff(177,plain,
% 0.19/0.47 (q_4(a, a, a, a, a, a, a)),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[176, 170, 143, 160])).
% 0.19/0.47 tff(178,plain,
% 0.19/0.47 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : refl((q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(179,plain,
% 0.19/0.47 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[178])).
% 0.19/0.47 tff(180,plain,
% 0.19/0.47 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(181,plain,
% 0.19/0.47 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : trans(monotonicity(rewrite((q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ((q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))), rewrite(((q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(182,plain,
% 0.19/0.47 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[181])).
% 0.19/0.47 tff(183,axiom,(![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','n_s3_type12_8')).
% 0.19/0.47 tff(184,plain,
% 0.19/0.47 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[183, 182])).
% 0.19/0.47 tff(185,plain,
% 0.19/0.47 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[184, 180])).
% 0.19/0.47 tff(186,plain,(
% 0.19/0.47 ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.47 inference(skolemize,[status(sab)],[185])).
% 0.19/0.47 tff(187,plain,
% 0.19/0.47 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[186, 179])).
% 0.19/0.47 tff(188,plain,
% 0.19/0.47 (((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (q_3(a, a, a, a, a, a, a) | (~q_4(a, a, a, a, a, a, a)) | (~p_5(a, a, a, a, a, a, a)))) <=> ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | q_3(a, a, a, a, a, a, a) | (~q_4(a, a, a, a, a, a, a)) | (~p_5(a, a, a, a, a, a, a)))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(189,plain,
% 0.19/0.47 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (q_3(a, a, a, a, a, a, a) | (~q_4(a, a, a, a, a, a, a)) | (~p_5(a, a, a, a, a, a, a)))),
% 0.19/0.47 inference(quant_inst,[status(thm)],[])).
% 0.19/0.47 tff(190,plain,
% 0.19/0.47 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | q_3(a, a, a, a, a, a, a) | (~q_4(a, a, a, a, a, a, a)) | (~p_5(a, a, a, a, a, a, a))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[189, 188])).
% 0.19/0.47 tff(191,plain,
% 0.19/0.47 ($false),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[190, 187, 160, 177, 1])).
% 0.19/0.47 tff(192,plain,(q_3(a, a, a, a, a, a, a)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.47 tff(193,assumption,(~p_3(a, a, a, a, a, a, a)), introduced(assumption)).
% 0.19/0.47 tff(194,assumption,(~p_12(a, a, a, a, a, a, a)), introduced(assumption)).
% 0.19/0.47 tff(195,plain,
% 0.19/0.47 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : refl((p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))) <=> (p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(196,plain,
% 0.19/0.47 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[195])).
% 0.19/0.47 tff(197,plain,
% 0.19/0.47 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(198,plain,
% 0.19/0.47 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) <=> (p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1)))), (((p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) <=> ((p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))))), rewrite(((p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) <=> (p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_2(X_2)) | (~nq_1(X_1)))), (((p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) <=> (p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_2(X_2)) | (~nq_1(X_1))))), ((((p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) <=> ((p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_2(X_2)) | (~nq_1(X_1))) | (~nq_3(X_3))))), rewrite(((p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_2(X_2)) | (~nq_1(X_1))) | (~nq_3(X_3))) <=> (p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))), ((((p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) <=> (p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))))), (((((p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) | (~nq_4(X_4))) <=> ((p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))) | (~nq_4(X_4))))), rewrite(((p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))) | (~nq_4(X_4))) <=> (p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))), (((((p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) | (~nq_4(X_4))) <=> (p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))))), ((((((p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) | (~nq_4(X_4))) | (~nq_5(X_5))) <=> ((p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))) | (~nq_5(X_5))))), rewrite(((p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))) | (~nq_5(X_5))) <=> (p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))), ((((((p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) | (~nq_4(X_4))) | (~nq_5(X_5))) <=> (p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))))), (((((((p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) | (~nq_4(X_4))) | (~nq_5(X_5))) | (~nq_6(X_6))) <=> ((p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))) | (~nq_6(X_6))))), rewrite(((p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))) | (~nq_6(X_6))) <=> (p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))), (((((((p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) | (~nq_4(X_4))) | (~nq_5(X_5))) | (~nq_6(X_6))) <=> (p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))))), ((((((((p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) | (~nq_4(X_4))) | (~nq_5(X_5))) | (~nq_6(X_6))) | (~nq_7(X_7))) <=> ((p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))) | (~nq_7(X_7))))), rewrite(((p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1))) | (~nq_7(X_7))) <=> (p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))), ((((((((p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) | (~nq_4(X_4))) | (~nq_5(X_5))) | (~nq_6(X_6))) | (~nq_7(X_7))) <=> (p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))))),
% 0.19/0.48 inference(bind,[status(th)],[])).
% 0.19/0.48 tff(199,plain,
% 0.19/0.48 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (((((((p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) | (~nq_4(X_4))) | (~nq_5(X_5))) | (~nq_6(X_6))) | (~nq_7(X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))),
% 0.19/0.48 inference(quant_intro,[status(thm)],[198])).
% 0.19/0.48 tff(200,axiom,(![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (((((((p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_1(X_1))) | (~nq_2(X_2))) | (~nq_3(X_3))) | (~nq_4(X_4))) | (~nq_5(X_5))) | (~nq_6(X_6))) | (~nq_7(X_7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','n_t3_1')).
% 0.19/0.48 tff(201,plain,
% 0.19/0.48 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[200, 199])).
% 0.19/0.48 tff(202,plain,
% 0.19/0.48 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[201, 197])).
% 0.19/0.48 tff(203,plain,(
% 0.19/0.48 ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))),
% 0.19/0.48 inference(skolemize,[status(sab)],[202])).
% 0.19/0.48 tff(204,plain,
% 0.19/0.48 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[203, 196])).
% 0.19/0.48 tff(205,plain,
% 0.19/0.48 (((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))) | (p_12(a, a, a, a, a, a, a) | (~nq_7(a)) | (~nq_6(a)) | (~nq_5(a)) | (~nq_4(a)) | (~nq_3(a)) | (~nq_2(a)) | (~nq_1(a)))) <=> ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))) | p_12(a, a, a, a, a, a, a) | (~nq_7(a)) | (~nq_6(a)) | (~nq_5(a)) | (~nq_4(a)) | (~nq_3(a)) | (~nq_2(a)) | (~nq_1(a)))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(206,plain,
% 0.19/0.48 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))) | (p_12(a, a, a, a, a, a, a) | (~nq_7(a)) | (~nq_6(a)) | (~nq_5(a)) | (~nq_4(a)) | (~nq_3(a)) | (~nq_2(a)) | (~nq_1(a)))),
% 0.19/0.48 inference(quant_inst,[status(thm)],[])).
% 0.19/0.48 tff(207,plain,
% 0.19/0.48 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~nq_7(X_7)) | (~nq_6(X_6)) | (~nq_5(X_5)) | (~nq_4(X_4)) | (~nq_3(X_3)) | (~nq_2(X_2)) | (~nq_1(X_1)))) | p_12(a, a, a, a, a, a, a) | (~nq_7(a)) | (~nq_6(a)) | (~nq_5(a)) | (~nq_4(a)) | (~nq_3(a)) | (~nq_2(a)) | (~nq_1(a))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[206, 205])).
% 0.19/0.48 tff(208,plain,
% 0.19/0.48 ($false),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[207, 204, 23, 20, 17, 14, 11, 8, 5, 194])).
% 0.19/0.48 tff(209,plain,(p_12(a, a, a, a, a, a, a)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.48 tff(210,plain,
% 0.19/0.48 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : refl((q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))),
% 0.19/0.48 inference(bind,[status(th)],[])).
% 0.19/0.48 tff(211,plain,
% 0.19/0.48 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.48 inference(quant_intro,[status(thm)],[210])).
% 0.19/0.48 tff(212,plain,
% 0.19/0.48 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(213,plain,
% 0.19/0.48 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : trans(monotonicity(rewrite((q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ((q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))), rewrite(((q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))))),
% 0.19/0.48 inference(bind,[status(th)],[])).
% 0.19/0.48 tff(214,plain,
% 0.19/0.48 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.48 inference(quant_intro,[status(thm)],[213])).
% 0.19/0.48 tff(215,axiom,(![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','n_s3_type12_23')).
% 0.19/0.48 tff(216,plain,
% 0.19/0.48 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[215, 214])).
% 0.19/0.48 tff(217,plain,
% 0.19/0.48 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[216, 212])).
% 0.19/0.48 tff(218,plain,(
% 0.19/0.48 ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.48 inference(skolemize,[status(sab)],[217])).
% 0.19/0.48 tff(219,plain,
% 0.19/0.48 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[218, 211])).
% 0.19/0.48 tff(220,plain,
% 0.19/0.48 (((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | ((~q_13(a, a, a, a, a, a, a)) | q_11(a, a, a, a, a, a, a) | (~p_12(a, a, a, a, a, a, a)))) <=> ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (~q_13(a, a, a, a, a, a, a)) | q_11(a, a, a, a, a, a, a) | (~p_12(a, a, a, a, a, a, a)))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(221,plain,
% 0.19/0.48 ((q_11(a, a, a, a, a, a, a) | (~p_12(a, a, a, a, a, a, a)) | (~q_13(a, a, a, a, a, a, a))) <=> ((~q_13(a, a, a, a, a, a, a)) | q_11(a, a, a, a, a, a, a) | (~p_12(a, a, a, a, a, a, a)))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(222,plain,
% 0.19/0.48 (((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (q_11(a, a, a, a, a, a, a) | (~p_12(a, a, a, a, a, a, a)) | (~q_13(a, a, a, a, a, a, a)))) <=> ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | ((~q_13(a, a, a, a, a, a, a)) | q_11(a, a, a, a, a, a, a) | (~p_12(a, a, a, a, a, a, a))))),
% 0.19/0.48 inference(monotonicity,[status(thm)],[221])).
% 0.19/0.48 tff(223,plain,
% 0.19/0.48 (((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (q_11(a, a, a, a, a, a, a) | (~p_12(a, a, a, a, a, a, a)) | (~q_13(a, a, a, a, a, a, a)))) <=> ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (~q_13(a, a, a, a, a, a, a)) | q_11(a, a, a, a, a, a, a) | (~p_12(a, a, a, a, a, a, a)))),
% 0.19/0.48 inference(transitivity,[status(thm)],[222, 220])).
% 0.19/0.48 tff(224,plain,
% 0.19/0.48 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (q_11(a, a, a, a, a, a, a) | (~p_12(a, a, a, a, a, a, a)) | (~q_13(a, a, a, a, a, a, a)))),
% 0.19/0.48 inference(quant_inst,[status(thm)],[])).
% 0.19/0.48 tff(225,plain,
% 0.19/0.48 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (~q_13(a, a, a, a, a, a, a)) | q_11(a, a, a, a, a, a, a) | (~p_12(a, a, a, a, a, a, a))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[224, 223])).
% 0.19/0.48 tff(226,plain,
% 0.19/0.48 (q_11(a, a, a, a, a, a, a) | (~p_12(a, a, a, a, a, a, a))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[225, 219, 38])).
% 0.19/0.48 tff(227,plain,
% 0.19/0.49 (q_11(a, a, a, a, a, a, a)),
% 0.19/0.49 inference(unit_resolution,[status(thm)],[226, 209])).
% 0.19/0.49 tff(228,plain,
% 0.19/0.49 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : refl((p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))),
% 0.19/0.49 inference(bind,[status(th)],[])).
% 0.19/0.49 tff(229,plain,
% 0.19/0.49 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.49 inference(quant_intro,[status(thm)],[228])).
% 0.19/0.49 tff(230,plain,
% 0.19/0.49 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(231,plain,
% 0.19/0.49 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : trans(monotonicity(rewrite((p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ((p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))), rewrite(((p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))))),
% 0.19/0.49 inference(bind,[status(th)],[])).
% 0.19/0.49 tff(232,plain,
% 0.19/0.49 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.49 inference(quant_intro,[status(thm)],[231])).
% 0.19/0.49 tff(233,axiom,(![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','n_s3_type11_20')).
% 0.19/0.49 tff(234,plain,
% 0.19/0.49 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[233, 232])).
% 0.19/0.49 tff(235,plain,
% 0.19/0.49 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[234, 230])).
% 0.19/0.49 tff(236,plain,(
% 0.19/0.49 ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.49 inference(skolemize,[status(sab)],[235])).
% 0.19/0.49 tff(237,plain,
% 0.19/0.49 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[236, 229])).
% 0.19/0.49 tff(238,plain,
% 0.19/0.49 (((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (p_9(a, a, a, a, a, a, a) | (~q_10(a, a, a, a, a, a, a)) | (~q_11(a, a, a, a, a, a, a)))) <=> ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | p_9(a, a, a, a, a, a, a) | (~q_10(a, a, a, a, a, a, a)) | (~q_11(a, a, a, a, a, a, a)))),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(239,plain,
% 0.19/0.49 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (p_9(a, a, a, a, a, a, a) | (~q_10(a, a, a, a, a, a, a)) | (~q_11(a, a, a, a, a, a, a)))),
% 0.19/0.49 inference(quant_inst,[status(thm)],[])).
% 0.19/0.49 tff(240,plain,
% 0.19/0.49 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | p_9(a, a, a, a, a, a, a) | (~q_10(a, a, a, a, a, a, a)) | (~q_11(a, a, a, a, a, a, a))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[239, 238])).
% 0.19/0.49 tff(241,plain,
% 0.19/0.49 (p_9(a, a, a, a, a, a, a) | (~q_11(a, a, a, a, a, a, a))),
% 0.19/0.49 inference(unit_resolution,[status(thm)],[240, 237, 87])).
% 0.19/0.49 tff(242,plain,
% 0.19/0.49 (p_9(a, a, a, a, a, a, a)),
% 0.19/0.49 inference(unit_resolution,[status(thm)],[241, 227])).
% 0.19/0.49 tff(243,plain,
% 0.19/0.49 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : refl((p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))),
% 0.19/0.49 inference(bind,[status(th)],[])).
% 0.19/0.49 tff(244,plain,
% 0.19/0.49 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.49 inference(quant_intro,[status(thm)],[243])).
% 0.19/0.49 tff(245,plain,
% 0.19/0.49 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(246,plain,
% 0.19/0.49 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : trans(monotonicity(rewrite((p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ((p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))), rewrite(((p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))))),
% 0.19/0.49 inference(bind,[status(th)],[])).
% 0.19/0.49 tff(247,plain,
% 0.19/0.49 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.49 inference(quant_intro,[status(thm)],[246])).
% 0.19/0.49 tff(248,axiom,(![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','n_s3_type11_15')).
% 0.19/0.49 tff(249,plain,
% 0.19/0.49 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[248, 247])).
% 0.19/0.49 tff(250,plain,
% 0.19/0.49 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[249, 245])).
% 0.19/0.49 tff(251,plain,(
% 0.19/0.49 ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.49 inference(skolemize,[status(sab)],[250])).
% 0.19/0.49 tff(252,plain,
% 0.19/0.49 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[251, 244])).
% 0.19/0.49 tff(253,plain,
% 0.19/0.49 (((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (p_7(a, a, a, a, a, a, a) | (~p_8(a, a, a, a, a, a, a)) | (~p_9(a, a, a, a, a, a, a)))) <=> ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | p_7(a, a, a, a, a, a, a) | (~p_8(a, a, a, a, a, a, a)) | (~p_9(a, a, a, a, a, a, a)))),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(254,plain,
% 0.19/0.49 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (p_7(a, a, a, a, a, a, a) | (~p_8(a, a, a, a, a, a, a)) | (~p_9(a, a, a, a, a, a, a)))),
% 0.19/0.49 inference(quant_inst,[status(thm)],[])).
% 0.19/0.49 tff(255,plain,
% 0.19/0.49 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | p_7(a, a, a, a, a, a, a) | (~p_8(a, a, a, a, a, a, a)) | (~p_9(a, a, a, a, a, a, a))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[254, 253])).
% 0.19/0.49 tff(256,plain,
% 0.19/0.49 (p_7(a, a, a, a, a, a, a) | (~p_9(a, a, a, a, a, a, a))),
% 0.19/0.49 inference(unit_resolution,[status(thm)],[255, 252, 115])).
% 0.19/0.49 tff(257,plain,
% 0.19/0.49 (p_7(a, a, a, a, a, a, a)),
% 0.19/0.49 inference(unit_resolution,[status(thm)],[256, 242])).
% 0.19/0.49 tff(258,plain,
% 0.19/0.49 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : refl((q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))),
% 0.19/0.49 inference(bind,[status(th)],[])).
% 0.19/0.49 tff(259,plain,
% 0.19/0.49 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.49 inference(quant_intro,[status(thm)],[258])).
% 0.19/0.49 tff(260,plain,
% 0.19/0.49 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(261,plain,
% 0.19/0.49 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : trans(monotonicity(rewrite((q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ((q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))), rewrite(((q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))))),
% 0.19/0.49 inference(bind,[status(th)],[])).
% 0.19/0.49 tff(262,plain,
% 0.19/0.49 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.49 inference(quant_intro,[status(thm)],[261])).
% 0.19/0.49 tff(263,axiom,(![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','n_s3_type12_12')).
% 0.19/0.49 tff(264,plain,
% 0.19/0.49 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[263, 262])).
% 0.19/0.49 tff(265,plain,
% 0.19/0.49 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[264, 260])).
% 0.19/0.49 tff(266,plain,(
% 0.19/0.49 ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.49 inference(skolemize,[status(sab)],[265])).
% 0.19/0.49 tff(267,plain,
% 0.19/0.49 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[266, 259])).
% 0.19/0.49 tff(268,plain,
% 0.19/0.49 (((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (q_5(a, a, a, a, a, a, a) | (~q_6(a, a, a, a, a, a, a)) | (~p_7(a, a, a, a, a, a, a)))) <=> ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | q_5(a, a, a, a, a, a, a) | (~q_6(a, a, a, a, a, a, a)) | (~p_7(a, a, a, a, a, a, a)))),
% 0.19/0.50 inference(rewrite,[status(thm)],[])).
% 0.19/0.50 tff(269,plain,
% 0.19/0.50 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (q_5(a, a, a, a, a, a, a) | (~q_6(a, a, a, a, a, a, a)) | (~p_7(a, a, a, a, a, a, a)))),
% 0.19/0.50 inference(quant_inst,[status(thm)],[])).
% 0.19/0.50 tff(270,plain,
% 0.19/0.50 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | q_5(a, a, a, a, a, a, a) | (~q_6(a, a, a, a, a, a, a)) | (~p_7(a, a, a, a, a, a, a))),
% 0.19/0.50 inference(modus_ponens,[status(thm)],[269, 268])).
% 0.19/0.50 tff(271,plain,
% 0.19/0.50 (q_5(a, a, a, a, a, a, a) | (~p_7(a, a, a, a, a, a, a))),
% 0.19/0.50 inference(unit_resolution,[status(thm)],[270, 267, 143])).
% 0.19/0.50 tff(272,plain,
% 0.19/0.50 (q_5(a, a, a, a, a, a, a)),
% 0.19/0.50 inference(unit_resolution,[status(thm)],[271, 257])).
% 0.19/0.50 tff(273,plain,
% 0.19/0.50 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : refl((p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))),
% 0.19/0.50 inference(bind,[status(th)],[])).
% 0.19/0.50 tff(274,plain,
% 0.19/0.50 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.50 inference(quant_intro,[status(thm)],[273])).
% 0.19/0.50 tff(275,plain,
% 0.19/0.50 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.50 inference(rewrite,[status(thm)],[])).
% 0.19/0.50 tff(276,plain,
% 0.19/0.50 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : trans(monotonicity(rewrite((p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ((p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))), rewrite(((p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))))),
% 0.19/0.50 inference(bind,[status(th)],[])).
% 0.19/0.50 tff(277,plain,
% 0.19/0.50 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.50 inference(quant_intro,[status(thm)],[276])).
% 0.19/0.50 tff(278,axiom,(![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','n_s3_type11_10')).
% 0.19/0.50 tff(279,plain,
% 0.19/0.50 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.50 inference(modus_ponens,[status(thm)],[278, 277])).
% 0.19/0.50 tff(280,plain,
% 0.19/0.50 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.50 inference(modus_ponens,[status(thm)],[279, 275])).
% 0.19/0.50 tff(281,plain,(
% 0.19/0.50 ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.50 inference(skolemize,[status(sab)],[280])).
% 0.19/0.50 tff(282,plain,
% 0.19/0.50 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.50 inference(modus_ponens,[status(thm)],[281, 274])).
% 0.19/0.50 tff(283,plain,
% 0.19/0.50 (((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (p_4(a, a, a, a, a, a, a) | (~q_5(a, a, a, a, a, a, a)) | (~q_6(a, a, a, a, a, a, a)))) <=> ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | p_4(a, a, a, a, a, a, a) | (~q_5(a, a, a, a, a, a, a)) | (~q_6(a, a, a, a, a, a, a)))),
% 0.19/0.50 inference(rewrite,[status(thm)],[])).
% 0.19/0.50 tff(284,plain,
% 0.19/0.50 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (p_4(a, a, a, a, a, a, a) | (~q_5(a, a, a, a, a, a, a)) | (~q_6(a, a, a, a, a, a, a)))),
% 0.19/0.50 inference(quant_inst,[status(thm)],[])).
% 0.19/0.50 tff(285,plain,
% 0.19/0.50 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | p_4(a, a, a, a, a, a, a) | (~q_5(a, a, a, a, a, a, a)) | (~q_6(a, a, a, a, a, a, a))),
% 0.19/0.50 inference(modus_ponens,[status(thm)],[284, 283])).
% 0.19/0.50 tff(286,plain,
% 0.19/0.50 (p_4(a, a, a, a, a, a, a) | (~q_5(a, a, a, a, a, a, a))),
% 0.19/0.50 inference(unit_resolution,[status(thm)],[285, 282, 143])).
% 0.19/0.50 tff(287,plain,
% 0.19/0.50 (p_4(a, a, a, a, a, a, a)),
% 0.19/0.50 inference(unit_resolution,[status(thm)],[286, 272])).
% 0.19/0.50 tff(288,plain,
% 0.19/0.50 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : refl((p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))),
% 0.19/0.50 inference(bind,[status(th)],[])).
% 0.19/0.50 tff(289,plain,
% 0.19/0.50 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.50 inference(quant_intro,[status(thm)],[288])).
% 0.19/0.50 tff(290,plain,
% 0.19/0.50 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.50 inference(rewrite,[status(thm)],[])).
% 0.19/0.50 tff(291,plain,
% 0.19/0.50 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : trans(monotonicity(rewrite((p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ((p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))), rewrite(((p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))))),
% 0.19/0.50 inference(bind,[status(th)],[])).
% 0.19/0.50 tff(292,plain,
% 0.19/0.50 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.50 inference(quant_intro,[status(thm)],[291])).
% 0.19/0.50 tff(293,axiom,(![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','n_s3_type11_7')).
% 0.19/0.50 tff(294,plain,
% 0.19/0.50 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.50 inference(modus_ponens,[status(thm)],[293, 292])).
% 0.19/0.50 tff(295,plain,
% 0.19/0.50 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.50 inference(modus_ponens,[status(thm)],[294, 290])).
% 0.19/0.50 tff(296,plain,(
% 0.19/0.50 ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.50 inference(skolemize,[status(sab)],[295])).
% 0.19/0.50 tff(297,plain,
% 0.19/0.50 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.50 inference(modus_ponens,[status(thm)],[296, 289])).
% 0.19/0.50 tff(298,plain,
% 0.19/0.50 (((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (p_3(a, a, a, a, a, a, a) | (~p_4(a, a, a, a, a, a, a)) | (~p_5(a, a, a, a, a, a, a)))) <=> ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | p_3(a, a, a, a, a, a, a) | (~p_4(a, a, a, a, a, a, a)) | (~p_5(a, a, a, a, a, a, a)))),
% 0.19/0.50 inference(rewrite,[status(thm)],[])).
% 0.19/0.50 tff(299,plain,
% 0.19/0.50 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (p_3(a, a, a, a, a, a, a) | (~p_4(a, a, a, a, a, a, a)) | (~p_5(a, a, a, a, a, a, a)))),
% 0.19/0.50 inference(quant_inst,[status(thm)],[])).
% 0.19/0.50 tff(300,plain,
% 0.19/0.50 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | p_3(a, a, a, a, a, a, a) | (~p_4(a, a, a, a, a, a, a)) | (~p_5(a, a, a, a, a, a, a))),
% 0.19/0.50 inference(modus_ponens,[status(thm)],[299, 298])).
% 0.19/0.50 tff(301,plain,
% 0.19/0.50 ($false),
% 0.19/0.50 inference(unit_resolution,[status(thm)],[300, 297, 160, 287, 193])).
% 0.19/0.50 tff(302,plain,(p_3(a, a, a, a, a, a, a)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.50 tff(303,assumption,(p_3(a, a, a, a, a, a, a)), introduced(assumption)).
% 0.19/0.50 tff(304,assumption,(~q_2(a, a, a, a, a, a, a)), introduced(assumption)).
% 0.19/0.50 tff(305,plain,
% 0.19/0.50 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : refl((q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))),
% 0.19/0.50 inference(bind,[status(th)],[])).
% 0.19/0.50 tff(306,plain,
% 0.19/0.50 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.50 inference(quant_intro,[status(thm)],[305])).
% 0.19/0.50 tff(307,plain,
% 0.19/0.50 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.50 inference(rewrite,[status(thm)],[])).
% 0.19/0.50 tff(308,plain,
% 0.19/0.50 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : trans(monotonicity(rewrite((q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ((q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))), rewrite(((q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))))),
% 0.19/0.50 inference(bind,[status(th)],[])).
% 0.19/0.50 tff(309,plain,
% 0.19/0.50 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.50 inference(quant_intro,[status(thm)],[308])).
% 0.19/0.50 tff(310,axiom,(![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','n_s3_type12_5')).
% 0.19/0.50 tff(311,plain,
% 0.19/0.50 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.50 inference(modus_ponens,[status(thm)],[310, 309])).
% 0.19/0.50 tff(312,plain,
% 0.19/0.50 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.50 inference(modus_ponens,[status(thm)],[311, 307])).
% 0.19/0.50 tff(313,plain,(
% 0.19/0.50 ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.50 inference(skolemize,[status(sab)],[312])).
% 0.19/0.50 tff(314,plain,
% 0.19/0.50 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.50 inference(modus_ponens,[status(thm)],[313, 306])).
% 0.19/0.50 tff(315,plain,
% 0.19/0.50 (((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (q_2(a, a, a, a, a, a, a) | (~p_3(a, a, a, a, a, a, a)) | (~q_4(a, a, a, a, a, a, a)))) <=> ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | q_2(a, a, a, a, a, a, a) | (~p_3(a, a, a, a, a, a, a)) | (~q_4(a, a, a, a, a, a, a)))),
% 0.19/0.50 inference(rewrite,[status(thm)],[])).
% 0.19/0.50 tff(316,plain,
% 0.19/0.50 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (q_2(a, a, a, a, a, a, a) | (~p_3(a, a, a, a, a, a, a)) | (~q_4(a, a, a, a, a, a, a)))),
% 0.19/0.50 inference(quant_inst,[status(thm)],[])).
% 0.19/0.50 tff(317,plain,
% 0.19/0.50 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | q_2(a, a, a, a, a, a, a) | (~p_3(a, a, a, a, a, a, a)) | (~q_4(a, a, a, a, a, a, a))),
% 0.19/0.50 inference(modus_ponens,[status(thm)],[316, 315])).
% 0.19/0.50 tff(318,plain,
% 0.19/0.50 ($false),
% 0.19/0.50 inference(unit_resolution,[status(thm)],[317, 314, 177, 304, 303])).
% 0.19/0.50 tff(319,plain,((~p_3(a, a, a, a, a, a, a)) | q_2(a, a, a, a, a, a, a)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.50 tff(320,plain,
% 0.19/0.50 (q_2(a, a, a, a, a, a, a)),
% 0.19/0.50 inference(unit_resolution,[status(thm)],[319, 302])).
% 0.19/0.50 tff(321,plain,
% 0.19/0.50 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : refl((p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))),
% 0.19/0.50 inference(bind,[status(th)],[])).
% 0.19/0.50 tff(322,plain,
% 0.19/0.50 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.50 inference(quant_intro,[status(thm)],[321])).
% 0.19/0.50 tff(323,plain,
% 0.19/0.50 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.50 inference(rewrite,[status(thm)],[])).
% 0.19/0.50 tff(324,plain,
% 0.19/0.50 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : trans(monotonicity(rewrite((p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ((p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))), rewrite(((p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))))),
% 0.19/0.50 inference(bind,[status(th)],[])).
% 0.19/0.50 tff(325,plain,
% 0.19/0.50 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.50 inference(quant_intro,[status(thm)],[324])).
% 0.19/0.50 tff(326,axiom,(![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','n_s3_type11_4')).
% 0.19/0.50 tff(327,plain,
% 0.19/0.50 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.50 inference(modus_ponens,[status(thm)],[326, 325])).
% 0.19/0.50 tff(328,plain,
% 0.19/0.50 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.50 inference(modus_ponens,[status(thm)],[327, 323])).
% 0.19/0.50 tff(329,plain,(
% 0.19/0.50 ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.50 inference(skolemize,[status(sab)],[328])).
% 0.19/0.50 tff(330,plain,
% 0.19/0.50 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.50 inference(modus_ponens,[status(thm)],[329, 322])).
% 0.19/0.50 tff(331,plain,
% 0.19/0.50 (((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (p_1(a, a, a, a, a, a, a) | (~q_2(a, a, a, a, a, a, a)) | (~q_3(a, a, a, a, a, a, a)))) <=> ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | p_1(a, a, a, a, a, a, a) | (~q_2(a, a, a, a, a, a, a)) | (~q_3(a, a, a, a, a, a, a)))),
% 0.19/0.50 inference(rewrite,[status(thm)],[])).
% 0.19/0.50 tff(332,plain,
% 0.19/0.50 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (p_1(a, a, a, a, a, a, a) | (~q_2(a, a, a, a, a, a, a)) | (~q_3(a, a, a, a, a, a, a)))),
% 0.19/0.51 inference(quant_inst,[status(thm)],[])).
% 0.19/0.51 tff(333,plain,
% 0.19/0.51 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | p_1(a, a, a, a, a, a, a) | (~q_2(a, a, a, a, a, a, a)) | (~q_3(a, a, a, a, a, a, a))),
% 0.19/0.51 inference(modus_ponens,[status(thm)],[332, 331])).
% 0.19/0.51 tff(334,plain,
% 0.19/0.51 (p_1(a, a, a, a, a, a, a)),
% 0.19/0.51 inference(unit_resolution,[status(thm)],[333, 330, 320, 192])).
% 0.19/0.51 tff(335,plain,
% 0.19/0.51 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : refl(((~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | q_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) <=> ((~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | q_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.51 inference(bind,[status(th)],[])).
% 0.19/0.51 tff(336,plain,
% 0.19/0.51 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | q_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | q_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7))),
% 0.19/0.51 inference(quant_intro,[status(thm)],[335])).
% 0.19/0.51 tff(337,plain,
% 0.19/0.51 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | q_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | q_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7))),
% 0.19/0.51 inference(rewrite,[status(thm)],[])).
% 0.19/0.51 tff(338,plain,
% 0.19/0.51 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : trans(monotonicity(rewrite((q_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ((~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | q_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7))), (((q_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (((~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | q_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))), rewrite((((~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | q_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ((~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | q_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7))), (((q_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ((~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | q_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))),
% 0.19/0.51 inference(bind,[status(th)],[])).
% 0.19/0.51 tff(339,plain,
% 0.19/0.51 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((q_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | q_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7))),
% 0.19/0.51 inference(quant_intro,[status(thm)],[338])).
% 0.19/0.51 tff(340,axiom,(![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((q_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','n_s3_type12_1')).
% 0.19/0.51 tff(341,plain,
% 0.19/0.51 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | q_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7))),
% 0.19/0.51 inference(modus_ponens,[status(thm)],[340, 339])).
% 0.19/0.51 tff(342,plain,
% 0.19/0.51 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | q_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7))),
% 0.19/0.51 inference(modus_ponens,[status(thm)],[341, 337])).
% 0.19/0.51 tff(343,plain,(
% 0.19/0.51 ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | q_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7))),
% 0.19/0.51 inference(skolemize,[status(sab)],[342])).
% 0.19/0.51 tff(344,plain,
% 0.19/0.51 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | q_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7))),
% 0.19/0.51 inference(modus_ponens,[status(thm)],[343, 336])).
% 0.19/0.51 tff(345,plain,
% 0.19/0.51 (((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | q_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | ((~p_1(a, a, a, a, a, a, a)) | (~q_2(a, a, a, a, a, a, a)) | q_0(a, a, a, a, a, a, a))) <=> ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | q_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_1(a, a, a, a, a, a, a)) | (~q_2(a, a, a, a, a, a, a)) | q_0(a, a, a, a, a, a, a))),
% 0.19/0.51 inference(rewrite,[status(thm)],[])).
% 0.19/0.51 tff(346,plain,
% 0.19/0.51 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | q_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | ((~p_1(a, a, a, a, a, a, a)) | (~q_2(a, a, a, a, a, a, a)) | q_0(a, a, a, a, a, a, a))),
% 0.19/0.51 inference(quant_inst,[status(thm)],[])).
% 0.19/0.51 tff(347,plain,
% 0.19/0.51 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | q_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_1(a, a, a, a, a, a, a)) | (~q_2(a, a, a, a, a, a, a)) | q_0(a, a, a, a, a, a, a)),
% 0.19/0.51 inference(modus_ponens,[status(thm)],[346, 345])).
% 0.19/0.51 tff(348,plain,
% 0.19/0.51 (q_0(a, a, a, a, a, a, a)),
% 0.19/0.51 inference(unit_resolution,[status(thm)],[347, 344, 320, 334])).
% 0.19/0.51 tff(349,plain,
% 0.19/0.51 (((~p_0(a, a, a, a, a, a, a)) | (~q_0(a, a, a, a, a, a, a))) <=> ((~p_0(a, a, a, a, a, a, a)) | (~q_0(a, a, a, a, a, a, a)))),
% 0.19/0.51 inference(rewrite,[status(thm)],[])).
% 0.19/0.51 tff(350,axiom,((~p_0(a, a, a, a, a, a, a)) | (~q_0(a, a, a, a, a, a, a))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','n_s3_goal_1')).
% 0.19/0.51 tff(351,plain,
% 0.19/0.51 ((~p_0(a, a, a, a, a, a, a)) | (~q_0(a, a, a, a, a, a, a))),
% 0.19/0.51 inference(modus_ponens,[status(thm)],[350, 349])).
% 0.19/0.51 tff(352,plain,
% 0.19/0.51 (~p_0(a, a, a, a, a, a, a)),
% 0.19/0.51 inference(unit_resolution,[status(thm)],[351, 348])).
% 0.19/0.51 tff(353,plain,
% 0.19/0.51 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : refl(((~p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | p_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) <=> ((~p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | p_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.51 inference(bind,[status(th)],[])).
% 0.19/0.51 tff(354,plain,
% 0.19/0.51 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((~p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | p_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((~p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | p_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7))),
% 0.19/0.51 inference(quant_intro,[status(thm)],[353])).
% 0.19/0.51 tff(355,plain,
% 0.19/0.51 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((~p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | p_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((~p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | p_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7))),
% 0.19/0.51 inference(rewrite,[status(thm)],[])).
% 0.19/0.51 tff(356,plain,
% 0.19/0.51 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : trans(monotonicity(rewrite((p_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ((~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | p_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7))), (((p_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (((~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | p_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))), rewrite((((~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | p_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ((~p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | p_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7))), (((p_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ((~p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | p_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))),
% 0.19/0.51 inference(bind,[status(th)],[])).
% 0.19/0.51 tff(357,plain,
% 0.19/0.51 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((p_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((~p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | p_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7))),
% 0.19/0.51 inference(quant_intro,[status(thm)],[356])).
% 0.19/0.51 tff(358,axiom,(![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((p_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','n_s3_type11_1')).
% 0.19/0.51 tff(359,plain,
% 0.19/0.51 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((~p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | p_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7))),
% 0.19/0.51 inference(modus_ponens,[status(thm)],[358, 357])).
% 0.19/0.51 tff(360,plain,
% 0.19/0.51 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((~p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | p_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7))),
% 0.19/0.51 inference(modus_ponens,[status(thm)],[359, 355])).
% 0.19/0.51 tff(361,plain,(
% 0.19/0.51 ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((~p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | p_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7))),
% 0.19/0.51 inference(skolemize,[status(sab)],[360])).
% 0.19/0.51 tff(362,plain,
% 0.19/0.51 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((~p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | p_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7))),
% 0.19/0.51 inference(modus_ponens,[status(thm)],[361, 354])).
% 0.19/0.51 tff(363,plain,
% 0.19/0.51 (((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((~p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | p_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (p_0(a, a, a, a, a, a, a) | (~p_1(a, a, a, a, a, a, a)) | (~p_2(a, a, a, a, a, a, a)))) <=> ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((~p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | p_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | p_0(a, a, a, a, a, a, a) | (~p_1(a, a, a, a, a, a, a)) | (~p_2(a, a, a, a, a, a, a)))),
% 0.19/0.51 inference(rewrite,[status(thm)],[])).
% 0.19/0.51 tff(364,plain,
% 0.19/0.51 (((~p_2(a, a, a, a, a, a, a)) | (~p_1(a, a, a, a, a, a, a)) | p_0(a, a, a, a, a, a, a)) <=> (p_0(a, a, a, a, a, a, a) | (~p_1(a, a, a, a, a, a, a)) | (~p_2(a, a, a, a, a, a, a)))),
% 0.19/0.51 inference(rewrite,[status(thm)],[])).
% 0.19/0.51 tff(365,plain,
% 0.19/0.51 (((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((~p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | p_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | ((~p_2(a, a, a, a, a, a, a)) | (~p_1(a, a, a, a, a, a, a)) | p_0(a, a, a, a, a, a, a))) <=> ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((~p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | p_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (p_0(a, a, a, a, a, a, a) | (~p_1(a, a, a, a, a, a, a)) | (~p_2(a, a, a, a, a, a, a))))),
% 0.19/0.51 inference(monotonicity,[status(thm)],[364])).
% 0.19/0.51 tff(366,plain,
% 0.19/0.51 (((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((~p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | p_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | ((~p_2(a, a, a, a, a, a, a)) | (~p_1(a, a, a, a, a, a, a)) | p_0(a, a, a, a, a, a, a))) <=> ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((~p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | p_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | p_0(a, a, a, a, a, a, a) | (~p_1(a, a, a, a, a, a, a)) | (~p_2(a, a, a, a, a, a, a)))),
% 0.19/0.51 inference(transitivity,[status(thm)],[365, 363])).
% 0.19/0.51 tff(367,plain,
% 0.19/0.51 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((~p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | p_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | ((~p_2(a, a, a, a, a, a, a)) | (~p_1(a, a, a, a, a, a, a)) | p_0(a, a, a, a, a, a, a))),
% 0.19/0.51 inference(quant_inst,[status(thm)],[])).
% 0.19/0.51 tff(368,plain,
% 0.19/0.51 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((~p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | p_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | p_0(a, a, a, a, a, a, a) | (~p_1(a, a, a, a, a, a, a)) | (~p_2(a, a, a, a, a, a, a))),
% 0.19/0.51 inference(modus_ponens,[status(thm)],[367, 366])).
% 0.19/0.51 tff(369,plain,
% 0.19/0.51 (p_0(a, a, a, a, a, a, a) | (~p_2(a, a, a, a, a, a, a))),
% 0.19/0.51 inference(unit_resolution,[status(thm)],[368, 362, 334])).
% 0.19/0.51 tff(370,plain,
% 0.19/0.51 (~p_2(a, a, a, a, a, a, a)),
% 0.19/0.51 inference(unit_resolution,[status(thm)],[369, 352])).
% 0.19/0.51 tff(371,plain,
% 0.19/0.51 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : refl((p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))),
% 0.19/0.51 inference(bind,[status(th)],[])).
% 0.19/0.51 tff(372,plain,
% 0.19/0.51 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.51 inference(quant_intro,[status(thm)],[371])).
% 0.19/0.51 tff(373,plain,
% 0.19/0.51 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.51 inference(rewrite,[status(thm)],[])).
% 0.19/0.51 tff(374,plain,
% 0.19/0.51 (^[X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : trans(monotonicity(rewrite((p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ((p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7))))), rewrite(((p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), (((p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> (p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))))),
% 0.19/0.52 inference(bind,[status(th)],[])).
% 0.19/0.52 tff(375,plain,
% 0.19/0.52 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) <=> ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.52 inference(quant_intro,[status(thm)],[374])).
% 0.19/0.52 tff(376,axiom,(![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : ((p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7))) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','n_s3_type11_6')).
% 0.19/0.52 tff(377,plain,
% 0.19/0.52 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[376, 375])).
% 0.19/0.52 tff(378,plain,
% 0.19/0.52 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[377, 373])).
% 0.19/0.52 tff(379,plain,(
% 0.19/0.52 ![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.52 inference(skolemize,[status(sab)],[378])).
% 0.19/0.52 tff(380,plain,
% 0.19/0.52 (![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[379, 372])).
% 0.19/0.52 tff(381,plain,
% 0.19/0.52 (((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (p_2(a, a, a, a, a, a, a) | (~q_3(a, a, a, a, a, a, a)) | (~q_4(a, a, a, a, a, a, a)))) <=> ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | p_2(a, a, a, a, a, a, a) | (~q_3(a, a, a, a, a, a, a)) | (~q_4(a, a, a, a, a, a, a)))),
% 0.19/0.52 inference(rewrite,[status(thm)],[])).
% 0.19/0.52 tff(382,plain,
% 0.19/0.52 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | (p_2(a, a, a, a, a, a, a) | (~q_3(a, a, a, a, a, a, a)) | (~q_4(a, a, a, a, a, a, a)))),
% 0.19/0.52 inference(quant_inst,[status(thm)],[])).
% 0.19/0.52 tff(383,plain,
% 0.19/0.52 ((~![X_5: $i, X_2: $i, X_7: $i, X_3: $i, X_6: $i, X_4: $i, X_1: $i] : (p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | (~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7)) | (~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7)))) | p_2(a, a, a, a, a, a, a) | (~q_3(a, a, a, a, a, a, a)) | (~q_4(a, a, a, a, a, a, a))),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[382, 381])).
% 0.19/0.52 tff(384,plain,
% 0.19/0.52 ($false),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[383, 380, 177, 192, 370])).
% 0.19/0.52 % SZS output end Proof
%------------------------------------------------------------------------------