TSTP Solution File: SYO578+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYO578+1 : TPTP v8.1.0. Released v5.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n003.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 : Fri Sep 30 01:40:56 EDT 2022
% Result : Theorem 0.19s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO578+1 : TPTP v8.1.0. Released v5.5.0.
% 0.12/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Sep 5 14:15:57 EDT 2022
% 0.12/0.33 % 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.
% 0.19/0.43 % SZS status Theorem
% 0.19/0.43 % SZS output start Proof
% 0.19/0.43 tff(b48_buttercup10098_type, type, (
% 0.19/0.43 b48_buttercup10098: $i > $o)).
% 0.19/0.43 tff(k04_buttercup10100_type, type, (
% 0.19/0.43 k04_buttercup10100: $i > $o)).
% 0.19/0.43 tff(tptp_fun_X144_56_type, type, (
% 0.19/0.43 tptp_fun_X144_56: $i)).
% 0.19/0.43 tff(tptp_fun_X18_5_type, type, (
% 0.19/0.43 tptp_fun_X18_5: $i)).
% 0.19/0.43 tff(b48_buttercup10109_type, type, (
% 0.19/0.43 b48_buttercup10109: $i > $o)).
% 0.19/0.43 tff(tptp_fun_X62_31_type, type, (
% 0.19/0.43 tptp_fun_X62_31: $i)).
% 0.19/0.43 tff(1,plain,
% 0.19/0.43 (^[X61: $i] : refl((b48_buttercup10098(X61) | (~k04_buttercup10100(X61))) <=> (b48_buttercup10098(X61) | (~k04_buttercup10100(X61))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(2,plain,
% 0.19/0.43 (![X61: $i] : (b48_buttercup10098(X61) | (~k04_buttercup10100(X61))) <=> ![X61: $i] : (b48_buttercup10098(X61) | (~k04_buttercup10100(X61)))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[1])).
% 0.19/0.43 tff(3,plain,
% 0.19/0.43 (![X61: $i] : (b48_buttercup10098(X61) | (~k04_buttercup10100(X61))) <=> ![X61: $i] : (b48_buttercup10098(X61) | (~k04_buttercup10100(X61)))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(4,plain,
% 0.19/0.43 (^[X61: $i] : rewrite((k04_buttercup10100(X61) => b48_buttercup10098(X61)) <=> (b48_buttercup10098(X61) | (~k04_buttercup10100(X61))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(5,plain,
% 0.19/0.43 (![X61: $i] : (k04_buttercup10100(X61) => b48_buttercup10098(X61)) <=> ![X61: $i] : (b48_buttercup10098(X61) | (~k04_buttercup10100(X61)))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[4])).
% 0.19/0.43 tff(6,axiom,(![X61: $i] : (k04_buttercup10100(X61) => b48_buttercup10098(X61)) & ?[X62: $i] : (b48_buttercup10098(X62) & (~k04_buttercup10100(X62)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_21')).
% 0.19/0.43 tff(7,plain,
% 0.19/0.43 (![X61: $i] : (k04_buttercup10100(X61) => b48_buttercup10098(X61))),
% 0.19/0.43 inference(and_elim,[status(thm)],[6])).
% 0.19/0.43 tff(8,plain,
% 0.19/0.43 (![X61: $i] : (b48_buttercup10098(X61) | (~k04_buttercup10100(X61)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[7, 5])).
% 0.19/0.43 tff(9,plain,
% 0.19/0.43 (![X61: $i] : (b48_buttercup10098(X61) | (~k04_buttercup10100(X61)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[8, 3])).
% 0.19/0.43 tff(10,plain,(
% 0.19/0.43 ![X61: $i] : (b48_buttercup10098(X61) | (~k04_buttercup10100(X61)))),
% 0.19/0.43 inference(skolemize,[status(sab)],[9])).
% 0.19/0.43 tff(11,plain,
% 0.19/0.43 (![X61: $i] : (b48_buttercup10098(X61) | (~k04_buttercup10100(X61)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[10, 2])).
% 0.19/0.43 tff(12,plain,
% 0.19/0.43 (?[X18: $i] : (k04_buttercup10100(X18) & (~b48_buttercup10109(X18))) <=> ?[X18: $i] : (k04_buttercup10100(X18) & (~b48_buttercup10109(X18)))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(13,axiom,(![X17: $i] : (b48_buttercup10109(X17) => k04_buttercup10100(X17)) & ?[X18: $i] : (k04_buttercup10100(X18) & (~b48_buttercup10109(X18)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_11')).
% 0.19/0.43 tff(14,plain,
% 0.19/0.43 (?[X18: $i] : (k04_buttercup10100(X18) & (~b48_buttercup10109(X18)))),
% 0.19/0.43 inference(and_elim,[status(thm)],[13])).
% 0.19/0.43 tff(15,plain,
% 0.19/0.43 (?[X18: $i] : (k04_buttercup10100(X18) & (~b48_buttercup10109(X18)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[14, 12])).
% 0.19/0.43 tff(16,plain,(
% 0.19/0.43 k04_buttercup10100(X18!5) & (~b48_buttercup10109(X18!5))),
% 0.19/0.43 inference(skolemize,[status(sab)],[15])).
% 0.19/0.43 tff(17,plain,
% 0.19/0.43 (k04_buttercup10100(X18!5)),
% 0.19/0.43 inference(and_elim,[status(thm)],[16])).
% 0.19/0.43 tff(18,plain,
% 0.19/0.43 (((~![X61: $i] : (b48_buttercup10098(X61) | (~k04_buttercup10100(X61)))) | (b48_buttercup10098(X18!5) | (~k04_buttercup10100(X18!5)))) <=> ((~![X61: $i] : (b48_buttercup10098(X61) | (~k04_buttercup10100(X61)))) | b48_buttercup10098(X18!5) | (~k04_buttercup10100(X18!5)))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(19,plain,
% 0.19/0.43 ((~![X61: $i] : (b48_buttercup10098(X61) | (~k04_buttercup10100(X61)))) | (b48_buttercup10098(X18!5) | (~k04_buttercup10100(X18!5)))),
% 0.19/0.43 inference(quant_inst,[status(thm)],[])).
% 0.19/0.43 tff(20,plain,
% 0.19/0.43 ((~![X61: $i] : (b48_buttercup10098(X61) | (~k04_buttercup10100(X61)))) | b48_buttercup10098(X18!5) | (~k04_buttercup10100(X18!5))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.19/0.43 tff(21,plain,
% 0.19/0.43 (b48_buttercup10098(X18!5)),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[20, 17, 11])).
% 0.19/0.43 tff(22,plain,
% 0.19/0.43 (^[X146: $i, X147: $i, X148: $i] : refl((k04_buttercup10100(X148) | (~b48_buttercup10098(X148)) | b48_buttercup10098(X147) | (~k04_buttercup10100(X146)) | (~b48_buttercup10098(X146)) | (~k04_buttercup10100(X147))) <=> (k04_buttercup10100(X148) | (~b48_buttercup10098(X148)) | b48_buttercup10098(X147) | (~k04_buttercup10100(X146)) | (~b48_buttercup10098(X146)) | (~k04_buttercup10100(X147))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(23,plain,
% 0.19/0.43 (![X146: $i, X147: $i, X148: $i] : (k04_buttercup10100(X148) | (~b48_buttercup10098(X148)) | b48_buttercup10098(X147) | (~k04_buttercup10100(X146)) | (~b48_buttercup10098(X146)) | (~k04_buttercup10100(X147))) <=> ![X146: $i, X147: $i, X148: $i] : (k04_buttercup10100(X148) | (~b48_buttercup10098(X148)) | b48_buttercup10098(X147) | (~k04_buttercup10100(X146)) | (~b48_buttercup10098(X146)) | (~k04_buttercup10100(X147)))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[22])).
% 0.19/0.43 tff(24,plain,
% 0.19/0.43 (^[X146: $i, X147: $i, X148: $i] : trans(monotonicity(rewrite((k04_buttercup10100(X146) & b48_buttercup10098(X146) & k04_buttercup10100(X147) & (~b48_buttercup10098(X147)) & (~k04_buttercup10100(X148)) & b48_buttercup10098(X148)) <=> (~(k04_buttercup10100(X148) | (~b48_buttercup10098(X148)) | b48_buttercup10098(X147) | (~k04_buttercup10100(X146)) | (~b48_buttercup10098(X146)) | (~k04_buttercup10100(X147))))), ((~(k04_buttercup10100(X146) & b48_buttercup10098(X146) & k04_buttercup10100(X147) & (~b48_buttercup10098(X147)) & (~k04_buttercup10100(X148)) & b48_buttercup10098(X148))) <=> (~(~(k04_buttercup10100(X148) | (~b48_buttercup10098(X148)) | b48_buttercup10098(X147) | (~k04_buttercup10100(X146)) | (~b48_buttercup10098(X146)) | (~k04_buttercup10100(X147))))))), rewrite((~(~(k04_buttercup10100(X148) | (~b48_buttercup10098(X148)) | b48_buttercup10098(X147) | (~k04_buttercup10100(X146)) | (~b48_buttercup10098(X146)) | (~k04_buttercup10100(X147))))) <=> (k04_buttercup10100(X148) | (~b48_buttercup10098(X148)) | b48_buttercup10098(X147) | (~k04_buttercup10100(X146)) | (~b48_buttercup10098(X146)) | (~k04_buttercup10100(X147)))), ((~(k04_buttercup10100(X146) & b48_buttercup10098(X146) & k04_buttercup10100(X147) & (~b48_buttercup10098(X147)) & (~k04_buttercup10100(X148)) & b48_buttercup10098(X148))) <=> (k04_buttercup10100(X148) | (~b48_buttercup10098(X148)) | b48_buttercup10098(X147) | (~k04_buttercup10100(X146)) | (~b48_buttercup10098(X146)) | (~k04_buttercup10100(X147)))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(25,plain,
% 0.19/0.43 (![X146: $i, X147: $i, X148: $i] : (~(k04_buttercup10100(X146) & b48_buttercup10098(X146) & k04_buttercup10100(X147) & (~b48_buttercup10098(X147)) & (~k04_buttercup10100(X148)) & b48_buttercup10098(X148))) <=> ![X146: $i, X147: $i, X148: $i] : (k04_buttercup10100(X148) | (~b48_buttercup10098(X148)) | b48_buttercup10098(X147) | (~k04_buttercup10100(X146)) | (~b48_buttercup10098(X146)) | (~k04_buttercup10100(X147)))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[24])).
% 0.19/0.43 tff(26,plain,
% 0.19/0.43 ((~?[X146: $i, X147: $i, X148: $i] : (k04_buttercup10100(X146) & b48_buttercup10098(X146) & k04_buttercup10100(X147) & (~b48_buttercup10098(X147)) & (~k04_buttercup10100(X148)) & b48_buttercup10098(X148))) <=> (~?[X146: $i, X147: $i, X148: $i] : (k04_buttercup10100(X146) & b48_buttercup10098(X146) & k04_buttercup10100(X147) & (~b48_buttercup10098(X147)) & (~k04_buttercup10100(X148)) & b48_buttercup10098(X148)))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(27,plain,
% 0.19/0.43 ((~?[X146: $i, X147: $i, X148: $i] : (((((k04_buttercup10100(X146) & b48_buttercup10098(X146)) & k04_buttercup10100(X147)) & (~b48_buttercup10098(X147))) & (~k04_buttercup10100(X148))) & b48_buttercup10098(X148))) <=> (~?[X146: $i, X147: $i, X148: $i] : (k04_buttercup10100(X146) & b48_buttercup10098(X146) & k04_buttercup10100(X147) & (~b48_buttercup10098(X147)) & (~k04_buttercup10100(X148)) & b48_buttercup10098(X148)))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(28,axiom,(~((((![X142: $i] : (b48_buttercup10098(X142) => k04_buttercup10100(X142)) & ?[X143: $i] : (k04_buttercup10100(X143) & (~b48_buttercup10098(X143)))) | (![X144: $i] : (k04_buttercup10100(X144) => b48_buttercup10098(X144)) & ?[X145: $i] : (b48_buttercup10098(X145) & (~k04_buttercup10100(X145))))) | ?[X146: $i, X147: $i, X148: $i] : (((((k04_buttercup10100(X146) & b48_buttercup10098(X146)) & k04_buttercup10100(X147)) & (~b48_buttercup10098(X147))) & (~k04_buttercup10100(X148))) & b48_buttercup10098(X148))) | ![X149: $i] : (k04_buttercup10100(X149) => (~b48_buttercup10098(X149))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','goals_86')).
% 0.19/0.43 tff(29,plain,
% 0.19/0.43 (~(((![X142: $i] : (b48_buttercup10098(X142) => k04_buttercup10100(X142)) & ?[X143: $i] : (k04_buttercup10100(X143) & (~b48_buttercup10098(X143)))) | (![X144: $i] : (k04_buttercup10100(X144) => b48_buttercup10098(X144)) & ?[X145: $i] : (b48_buttercup10098(X145) & (~k04_buttercup10100(X145))))) | ?[X146: $i, X147: $i, X148: $i] : (((((k04_buttercup10100(X146) & b48_buttercup10098(X146)) & k04_buttercup10100(X147)) & (~b48_buttercup10098(X147))) & (~k04_buttercup10100(X148))) & b48_buttercup10098(X148)))),
% 0.19/0.43 inference(or_elim,[status(thm)],[28])).
% 0.19/0.43 tff(30,plain,
% 0.19/0.43 (~?[X146: $i, X147: $i, X148: $i] : (((((k04_buttercup10100(X146) & b48_buttercup10098(X146)) & k04_buttercup10100(X147)) & (~b48_buttercup10098(X147))) & (~k04_buttercup10100(X148))) & b48_buttercup10098(X148))),
% 0.19/0.43 inference(or_elim,[status(thm)],[29])).
% 0.19/0.43 tff(31,plain,
% 0.19/0.43 (~?[X146: $i, X147: $i, X148: $i] : (k04_buttercup10100(X146) & b48_buttercup10098(X146) & k04_buttercup10100(X147) & (~b48_buttercup10098(X147)) & (~k04_buttercup10100(X148)) & b48_buttercup10098(X148))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[30, 27])).
% 0.19/0.43 tff(32,plain,
% 0.19/0.43 (~?[X146: $i, X147: $i, X148: $i] : (k04_buttercup10100(X146) & b48_buttercup10098(X146) & k04_buttercup10100(X147) & (~b48_buttercup10098(X147)) & (~k04_buttercup10100(X148)) & b48_buttercup10098(X148))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[31, 26])).
% 0.19/0.43 tff(33,plain,
% 0.19/0.43 (~?[X146: $i, X147: $i, X148: $i] : (k04_buttercup10100(X146) & b48_buttercup10098(X146) & k04_buttercup10100(X147) & (~b48_buttercup10098(X147)) & (~k04_buttercup10100(X148)) & b48_buttercup10098(X148))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[32, 26])).
% 0.19/0.43 tff(34,plain,
% 0.19/0.43 (~?[X146: $i, X147: $i, X148: $i] : (k04_buttercup10100(X146) & b48_buttercup10098(X146) & k04_buttercup10100(X147) & (~b48_buttercup10098(X147)) & (~k04_buttercup10100(X148)) & b48_buttercup10098(X148))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[33, 26])).
% 0.19/0.43 tff(35,plain,
% 0.19/0.43 (~?[X146: $i, X147: $i, X148: $i] : (k04_buttercup10100(X146) & b48_buttercup10098(X146) & k04_buttercup10100(X147) & (~b48_buttercup10098(X147)) & (~k04_buttercup10100(X148)) & b48_buttercup10098(X148))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[34, 26])).
% 0.19/0.43 tff(36,plain,
% 0.19/0.43 (~?[X146: $i, X147: $i, X148: $i] : (k04_buttercup10100(X146) & b48_buttercup10098(X146) & k04_buttercup10100(X147) & (~b48_buttercup10098(X147)) & (~k04_buttercup10100(X148)) & b48_buttercup10098(X148))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[35, 26])).
% 0.19/0.43 tff(37,plain,
% 0.19/0.43 (~?[X146: $i, X147: $i, X148: $i] : (k04_buttercup10100(X146) & b48_buttercup10098(X146) & k04_buttercup10100(X147) & (~b48_buttercup10098(X147)) & (~k04_buttercup10100(X148)) & b48_buttercup10098(X148))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[36, 26])).
% 0.19/0.43 tff(38,plain,
% 0.19/0.43 (^[X146: $i, X147: $i, X148: $i] : refl($oeq((~(k04_buttercup10100(X146) & b48_buttercup10098(X146) & k04_buttercup10100(X147) & (~b48_buttercup10098(X147)) & (~k04_buttercup10100(X148)) & b48_buttercup10098(X148))), (~(k04_buttercup10100(X146) & b48_buttercup10098(X146) & k04_buttercup10100(X147) & (~b48_buttercup10098(X147)) & (~k04_buttercup10100(X148)) & b48_buttercup10098(X148)))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(39,plain,(
% 0.19/0.43 ![X146: $i, X147: $i, X148: $i] : (~(k04_buttercup10100(X146) & b48_buttercup10098(X146) & k04_buttercup10100(X147) & (~b48_buttercup10098(X147)) & (~k04_buttercup10100(X148)) & b48_buttercup10098(X148)))),
% 0.19/0.43 inference(nnf-neg,[status(sab)],[37, 38])).
% 0.19/0.43 tff(40,plain,
% 0.19/0.43 (![X146: $i, X147: $i, X148: $i] : (k04_buttercup10100(X148) | (~b48_buttercup10098(X148)) | b48_buttercup10098(X147) | (~k04_buttercup10100(X146)) | (~b48_buttercup10098(X146)) | (~k04_buttercup10100(X147)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[39, 25])).
% 0.19/0.43 tff(41,plain,
% 0.19/0.43 (![X146: $i, X147: $i, X148: $i] : (k04_buttercup10100(X148) | (~b48_buttercup10098(X148)) | b48_buttercup10098(X147) | (~k04_buttercup10100(X146)) | (~b48_buttercup10098(X146)) | (~k04_buttercup10100(X147)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[40, 23])).
% 0.19/0.43 tff(42,assumption,(~(b48_buttercup10098(X144!56) | (~k04_buttercup10100(X144!56)))), introduced(assumption)).
% 0.19/0.43 tff(43,plain,
% 0.19/0.43 ((b48_buttercup10098(X144!56) | (~k04_buttercup10100(X144!56))) | k04_buttercup10100(X144!56)),
% 0.19/0.43 inference(tautology,[status(thm)],[])).
% 0.19/0.43 tff(44,plain,
% 0.19/0.43 (k04_buttercup10100(X144!56)),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[43, 42])).
% 0.19/0.43 tff(45,plain,
% 0.19/0.43 ((b48_buttercup10098(X144!56) | (~k04_buttercup10100(X144!56))) | (~b48_buttercup10098(X144!56))),
% 0.19/0.43 inference(tautology,[status(thm)],[])).
% 0.19/0.43 tff(46,plain,
% 0.19/0.43 (~b48_buttercup10098(X144!56)),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[45, 42])).
% 0.19/0.43 tff(47,plain,
% 0.19/0.43 (?[X62: $i] : (b48_buttercup10098(X62) & (~k04_buttercup10100(X62))) <=> ?[X62: $i] : (b48_buttercup10098(X62) & (~k04_buttercup10100(X62)))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(48,plain,
% 0.19/0.43 (?[X62: $i] : (b48_buttercup10098(X62) & (~k04_buttercup10100(X62)))),
% 0.19/0.43 inference(and_elim,[status(thm)],[6])).
% 0.19/0.43 tff(49,plain,
% 0.19/0.43 (?[X62: $i] : (b48_buttercup10098(X62) & (~k04_buttercup10100(X62)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[48, 47])).
% 0.19/0.43 tff(50,plain,(
% 0.19/0.43 b48_buttercup10098(X62!31) & (~k04_buttercup10100(X62!31))),
% 0.19/0.43 inference(skolemize,[status(sab)],[49])).
% 0.19/0.43 tff(51,plain,
% 0.19/0.43 (~k04_buttercup10100(X62!31)),
% 0.19/0.43 inference(and_elim,[status(thm)],[50])).
% 0.19/0.43 tff(52,plain,
% 0.19/0.43 (b48_buttercup10098(X62!31)),
% 0.19/0.43 inference(and_elim,[status(thm)],[50])).
% 0.19/0.43 tff(53,plain,
% 0.19/0.43 (((~![X146: $i, X147: $i, X148: $i] : (k04_buttercup10100(X148) | (~b48_buttercup10098(X148)) | b48_buttercup10098(X147) | (~k04_buttercup10100(X146)) | (~b48_buttercup10098(X146)) | (~k04_buttercup10100(X147)))) | (k04_buttercup10100(X62!31) | b48_buttercup10098(X144!56) | (~k04_buttercup10100(X144!56)) | (~b48_buttercup10098(X62!31)) | (~b48_buttercup10098(X18!5)) | (~k04_buttercup10100(X18!5)))) <=> ((~![X146: $i, X147: $i, X148: $i] : (k04_buttercup10100(X148) | (~b48_buttercup10098(X148)) | b48_buttercup10098(X147) | (~k04_buttercup10100(X146)) | (~b48_buttercup10098(X146)) | (~k04_buttercup10100(X147)))) | k04_buttercup10100(X62!31) | b48_buttercup10098(X144!56) | (~k04_buttercup10100(X144!56)) | (~b48_buttercup10098(X62!31)) | (~b48_buttercup10098(X18!5)) | (~k04_buttercup10100(X18!5)))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(54,plain,
% 0.19/0.43 ((k04_buttercup10100(X62!31) | (~b48_buttercup10098(X62!31)) | b48_buttercup10098(X144!56) | (~k04_buttercup10100(X18!5)) | (~b48_buttercup10098(X18!5)) | (~k04_buttercup10100(X144!56))) <=> (k04_buttercup10100(X62!31) | b48_buttercup10098(X144!56) | (~k04_buttercup10100(X144!56)) | (~b48_buttercup10098(X62!31)) | (~b48_buttercup10098(X18!5)) | (~k04_buttercup10100(X18!5)))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(55,plain,
% 0.19/0.43 (((~![X146: $i, X147: $i, X148: $i] : (k04_buttercup10100(X148) | (~b48_buttercup10098(X148)) | b48_buttercup10098(X147) | (~k04_buttercup10100(X146)) | (~b48_buttercup10098(X146)) | (~k04_buttercup10100(X147)))) | (k04_buttercup10100(X62!31) | (~b48_buttercup10098(X62!31)) | b48_buttercup10098(X144!56) | (~k04_buttercup10100(X18!5)) | (~b48_buttercup10098(X18!5)) | (~k04_buttercup10100(X144!56)))) <=> ((~![X146: $i, X147: $i, X148: $i] : (k04_buttercup10100(X148) | (~b48_buttercup10098(X148)) | b48_buttercup10098(X147) | (~k04_buttercup10100(X146)) | (~b48_buttercup10098(X146)) | (~k04_buttercup10100(X147)))) | (k04_buttercup10100(X62!31) | b48_buttercup10098(X144!56) | (~k04_buttercup10100(X144!56)) | (~b48_buttercup10098(X62!31)) | (~b48_buttercup10098(X18!5)) | (~k04_buttercup10100(X18!5))))),
% 0.19/0.43 inference(monotonicity,[status(thm)],[54])).
% 0.19/0.44 tff(56,plain,
% 0.19/0.44 (((~![X146: $i, X147: $i, X148: $i] : (k04_buttercup10100(X148) | (~b48_buttercup10098(X148)) | b48_buttercup10098(X147) | (~k04_buttercup10100(X146)) | (~b48_buttercup10098(X146)) | (~k04_buttercup10100(X147)))) | (k04_buttercup10100(X62!31) | (~b48_buttercup10098(X62!31)) | b48_buttercup10098(X144!56) | (~k04_buttercup10100(X18!5)) | (~b48_buttercup10098(X18!5)) | (~k04_buttercup10100(X144!56)))) <=> ((~![X146: $i, X147: $i, X148: $i] : (k04_buttercup10100(X148) | (~b48_buttercup10098(X148)) | b48_buttercup10098(X147) | (~k04_buttercup10100(X146)) | (~b48_buttercup10098(X146)) | (~k04_buttercup10100(X147)))) | k04_buttercup10100(X62!31) | b48_buttercup10098(X144!56) | (~k04_buttercup10100(X144!56)) | (~b48_buttercup10098(X62!31)) | (~b48_buttercup10098(X18!5)) | (~k04_buttercup10100(X18!5)))),
% 0.19/0.44 inference(transitivity,[status(thm)],[55, 53])).
% 0.19/0.44 tff(57,plain,
% 0.19/0.44 ((~![X146: $i, X147: $i, X148: $i] : (k04_buttercup10100(X148) | (~b48_buttercup10098(X148)) | b48_buttercup10098(X147) | (~k04_buttercup10100(X146)) | (~b48_buttercup10098(X146)) | (~k04_buttercup10100(X147)))) | (k04_buttercup10100(X62!31) | (~b48_buttercup10098(X62!31)) | b48_buttercup10098(X144!56) | (~k04_buttercup10100(X18!5)) | (~b48_buttercup10098(X18!5)) | (~k04_buttercup10100(X144!56)))),
% 0.19/0.44 inference(quant_inst,[status(thm)],[])).
% 0.19/0.44 tff(58,plain,
% 0.19/0.44 ((~![X146: $i, X147: $i, X148: $i] : (k04_buttercup10100(X148) | (~b48_buttercup10098(X148)) | b48_buttercup10098(X147) | (~k04_buttercup10100(X146)) | (~b48_buttercup10098(X146)) | (~k04_buttercup10100(X147)))) | k04_buttercup10100(X62!31) | b48_buttercup10098(X144!56) | (~k04_buttercup10100(X144!56)) | (~b48_buttercup10098(X62!31)) | (~b48_buttercup10098(X18!5)) | (~k04_buttercup10100(X18!5))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[57, 56])).
% 0.19/0.44 tff(59,plain,
% 0.19/0.44 ($false),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[58, 17, 52, 51, 46, 44, 41, 21])).
% 0.19/0.44 tff(60,plain,(b48_buttercup10098(X144!56) | (~k04_buttercup10100(X144!56))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.44 tff(61,plain,
% 0.19/0.44 (((~(b48_buttercup10098(X144!56) | (~k04_buttercup10100(X144!56)))) | ![X145: $i] : (k04_buttercup10100(X145) | (~b48_buttercup10098(X145)))) <=> ((~(b48_buttercup10098(X144!56) | (~k04_buttercup10100(X144!56)))) | ![X145: $i] : (k04_buttercup10100(X145) | (~b48_buttercup10098(X145))))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(62,plain,
% 0.19/0.44 (((~(b48_buttercup10098(X144!56) | (~k04_buttercup10100(X144!56)))) | ![X145: $i] : (~(b48_buttercup10098(X145) & (~k04_buttercup10100(X145))))) <=> ((~(b48_buttercup10098(X144!56) | (~k04_buttercup10100(X144!56)))) | ![X145: $i] : (k04_buttercup10100(X145) | (~b48_buttercup10098(X145))))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(63,plain,
% 0.19/0.44 (((~(b48_buttercup10098(X144!56) | (~k04_buttercup10100(X144!56)))) | ![X145: $i] : (~(b48_buttercup10098(X145) & (~k04_buttercup10100(X145))))) <=> ((~(b48_buttercup10098(X144!56) | (~k04_buttercup10100(X144!56)))) | ![X145: $i] : (~(b48_buttercup10098(X145) & (~k04_buttercup10100(X145)))))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(64,plain,
% 0.19/0.44 ((![X144: $i] : (b48_buttercup10098(X144) | (~k04_buttercup10100(X144))) & ?[X145: $i] : (b48_buttercup10098(X145) & (~k04_buttercup10100(X145)))) <=> (![X144: $i] : (b48_buttercup10098(X144) | (~k04_buttercup10100(X144))) & ?[X145: $i] : (b48_buttercup10098(X145) & (~k04_buttercup10100(X145))))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(65,plain,
% 0.19/0.44 ((~(![X144: $i] : (b48_buttercup10098(X144) | (~k04_buttercup10100(X144))) & ?[X145: $i] : (b48_buttercup10098(X145) & (~k04_buttercup10100(X145))))) <=> (~(![X144: $i] : (b48_buttercup10098(X144) | (~k04_buttercup10100(X144))) & ?[X145: $i] : (b48_buttercup10098(X145) & (~k04_buttercup10100(X145)))))),
% 0.19/0.44 inference(monotonicity,[status(thm)],[64])).
% 0.19/0.44 tff(66,plain,
% 0.19/0.44 ((~(![X144: $i] : (b48_buttercup10098(X144) | (~k04_buttercup10100(X144))) & ?[X145: $i] : (b48_buttercup10098(X145) & (~k04_buttercup10100(X145))))) <=> (~(![X144: $i] : (b48_buttercup10098(X144) | (~k04_buttercup10100(X144))) & ?[X145: $i] : (b48_buttercup10098(X145) & (~k04_buttercup10100(X145)))))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(67,plain,
% 0.19/0.44 ((~(![X144: $i] : (k04_buttercup10100(X144) => b48_buttercup10098(X144)) & ?[X145: $i] : (b48_buttercup10098(X145) & (~k04_buttercup10100(X145))))) <=> (~(![X144: $i] : (b48_buttercup10098(X144) | (~k04_buttercup10100(X144))) & ?[X145: $i] : (b48_buttercup10098(X145) & (~k04_buttercup10100(X145)))))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(68,plain,
% 0.19/0.44 (~((![X142: $i] : (b48_buttercup10098(X142) => k04_buttercup10100(X142)) & ?[X143: $i] : (k04_buttercup10100(X143) & (~b48_buttercup10098(X143)))) | (![X144: $i] : (k04_buttercup10100(X144) => b48_buttercup10098(X144)) & ?[X145: $i] : (b48_buttercup10098(X145) & (~k04_buttercup10100(X145)))))),
% 0.19/0.44 inference(or_elim,[status(thm)],[29])).
% 0.19/0.44 tff(69,plain,
% 0.19/0.44 (~(![X144: $i] : (k04_buttercup10100(X144) => b48_buttercup10098(X144)) & ?[X145: $i] : (b48_buttercup10098(X145) & (~k04_buttercup10100(X145))))),
% 0.19/0.44 inference(or_elim,[status(thm)],[68])).
% 0.19/0.44 tff(70,plain,
% 0.19/0.44 (~(![X144: $i] : (b48_buttercup10098(X144) | (~k04_buttercup10100(X144))) & ?[X145: $i] : (b48_buttercup10098(X145) & (~k04_buttercup10100(X145))))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[69, 67])).
% 0.19/0.44 tff(71,plain,
% 0.19/0.44 (~(![X144: $i] : (b48_buttercup10098(X144) | (~k04_buttercup10100(X144))) & ?[X145: $i] : (b48_buttercup10098(X145) & (~k04_buttercup10100(X145))))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[70, 65])).
% 0.19/0.44 tff(72,plain,
% 0.19/0.44 (~(![X144: $i] : (b48_buttercup10098(X144) | (~k04_buttercup10100(X144))) & ?[X145: $i] : (b48_buttercup10098(X145) & (~k04_buttercup10100(X145))))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[71, 66])).
% 0.19/0.44 tff(73,plain,
% 0.19/0.44 (~(![X144: $i] : (b48_buttercup10098(X144) | (~k04_buttercup10100(X144))) & ?[X145: $i] : (b48_buttercup10098(X145) & (~k04_buttercup10100(X145))))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[72, 65])).
% 0.19/0.44 tff(74,plain,
% 0.19/0.44 (~(![X144: $i] : (b48_buttercup10098(X144) | (~k04_buttercup10100(X144))) & ?[X145: $i] : (b48_buttercup10098(X145) & (~k04_buttercup10100(X145))))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[73, 65])).
% 0.19/0.44 tff(75,plain,
% 0.19/0.44 (~(![X144: $i] : (b48_buttercup10098(X144) | (~k04_buttercup10100(X144))) & ?[X145: $i] : (b48_buttercup10098(X145) & (~k04_buttercup10100(X145))))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[74, 65])).
% 0.19/0.44 tff(76,plain,
% 0.19/0.44 (~(![X144: $i] : (b48_buttercup10098(X144) | (~k04_buttercup10100(X144))) & ?[X145: $i] : (b48_buttercup10098(X145) & (~k04_buttercup10100(X145))))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[75, 65])).
% 0.19/0.44 unexpected number of arguments: (let ((a!1 (forall ((X144 $i))
% 0.19/0.44 (or (b48_buttercup10098 X144) (not (k04_buttercup10100 X144)))))
% 0.19/0.44 (a!2 (not (or (b48_buttercup10098 X144!56)
% 0.19/0.44 (not (k04_buttercup10100 X144!56)))))
% 0.19/0.44 (a!3 (proof-bind (lambda ((X145 $i))
% 0.19/0.44 (let ((a!1 (not (and (b48_buttercup10098 X145)
% 0.19/0.44 (not (k04_buttercup10100 X145))))))
% 0.19/0.44 (refl (~ a!1 a!1))))))
% 0.19/0.44 (a!4 (exists ((X145 $i))
% 0.19/0.44 (and (b48_buttercup10098 X145) (not (k04_buttercup10100 X145)))))
% 0.19/0.44 (a!5 (forall ((X145 $i))
% 0.19/0.44 (not (and (b48_buttercup10098 X145)
% 0.19/0.44 (not (k04_buttercup10100 X145)))))))
% 0.19/0.44 (nnf-neg (sk (~ (not a!1) a!2))
% 0.19/0.44 (nnf-neg a!3 (~ (not a!4) a!5))
% 0.19/0.44 (~ (not (and a!1 a!4)) (or a!2 a!5))))
% 0.19/0.44 Proof display could not be completed: unexpected number of arguments
%------------------------------------------------------------------------------