TSTP Solution File: SYN349+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN349+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n004.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 23:54:54 EDT 2022
% Result : Theorem 0.19s 0.40s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN349+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n004.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 02:43:49 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.
% 0.19/0.40 % SZS status Theorem
% 0.19/0.40 % SZS output start Proof
% 0.19/0.40 tff(big_f_type, type, (
% 0.19/0.40 big_f: ( $i * $i ) > $o)).
% 0.19/0.40 tff(tptp_fun_X4_1_type, type, (
% 0.19/0.40 tptp_fun_X4_1: ( $i * $i ) > $i)).
% 0.19/0.40 tff(elem_2_type, type, (
% 0.19/0.40 elem_2: $i)).
% 0.19/0.40 tff(tptp_fun_X2_0_type, type, (
% 0.19/0.40 tptp_fun_X2_0: $i > $i)).
% 0.19/0.40 tff(1,assumption,(~(big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2))))), introduced(assumption)).
% 0.19/0.40 tff(2,assumption,(~big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))), introduced(assumption)).
% 0.19/0.40 tff(3,plain,
% 0.19/0.40 (((big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))) | (big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))) | big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(4,plain,
% 0.19/0.40 ((big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[3, 2, 1])).
% 0.19/0.40 tff(5,plain,
% 0.19/0.40 (![X1: $i] : ![X3: $i] : (~(((~big_f(X1, tptp_fun_X4_1(X3, X1))) <=> big_f(tptp_fun_X2_0(X1), tptp_fun_X4_1(X3, X1))) | (((big_f(X1, tptp_fun_X4_1(X3, X1)) <=> big_f(tptp_fun_X4_1(X3, X1), X3)) <=> big_f(X3, tptp_fun_X4_1(X3, X1))) <=> big_f(tptp_fun_X4_1(X3, X1), tptp_fun_X2_0(X1))))) <=> ![X1: $i, X3: $i] : (~(((~big_f(X1, tptp_fun_X4_1(X3, X1))) <=> big_f(tptp_fun_X2_0(X1), tptp_fun_X4_1(X3, X1))) | (((big_f(X1, tptp_fun_X4_1(X3, X1)) <=> big_f(tptp_fun_X4_1(X3, X1), X3)) <=> big_f(X3, tptp_fun_X4_1(X3, X1))) <=> big_f(tptp_fun_X4_1(X3, X1), tptp_fun_X2_0(X1)))))),
% 0.19/0.40 inference(pull_quant,[status(thm)],[])).
% 0.19/0.40 tff(6,plain,
% 0.19/0.40 ((~?[X1: $i] : ![X2: $i] : ?[X3: $i] : ![X4: $i] : (((~big_f(X1, X4)) <=> big_f(X2, X4)) | (((big_f(X1, X4) <=> big_f(X4, X3)) <=> big_f(X3, X4)) <=> big_f(X4, X2)))) <=> (~?[X1: $i] : ![X2: $i] : ?[X3: $i] : ![X4: $i] : (((~big_f(X1, X4)) <=> big_f(X2, X4)) | (((big_f(X1, X4) <=> big_f(X4, X3)) <=> big_f(X3, X4)) <=> big_f(X4, X2))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(7,plain,
% 0.19/0.40 ((~?[X1: $i] : ![X2: $i] : ?[X3: $i] : ![X4: $i] : ((big_f(X1, X4) <=> big_f(X2, X4)) => (((big_f(X1, X4) <=> big_f(X4, X3)) <=> big_f(X3, X4)) <=> big_f(X4, X2)))) <=> (~?[X1: $i] : ![X2: $i] : ?[X3: $i] : ![X4: $i] : (((~big_f(X1, X4)) <=> big_f(X2, X4)) | (((big_f(X1, X4) <=> big_f(X4, X3)) <=> big_f(X3, X4)) <=> big_f(X4, X2))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(8,axiom,(~?[X1: $i] : ![X2: $i] : ?[X3: $i] : ![X4: $i] : ((big_f(X1, X4) <=> big_f(X2, X4)) => (((big_f(X1, X4) <=> big_f(X4, X3)) <=> big_f(X3, X4)) <=> big_f(X4, X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','church_46_17_5')).
% 0.19/0.40 tff(9,plain,
% 0.19/0.40 (~?[X1: $i] : ![X2: $i] : ?[X3: $i] : ![X4: $i] : (((~big_f(X1, X4)) <=> big_f(X2, X4)) | (((big_f(X1, X4) <=> big_f(X4, X3)) <=> big_f(X3, X4)) <=> big_f(X4, X2)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[8, 7])).
% 0.19/0.40 tff(10,plain,
% 0.19/0.40 (~?[X1: $i] : ![X2: $i] : ?[X3: $i] : ![X4: $i] : (((~big_f(X1, X4)) <=> big_f(X2, X4)) | (((big_f(X1, X4) <=> big_f(X4, X3)) <=> big_f(X3, X4)) <=> big_f(X4, X2)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[9, 6])).
% 0.19/0.40 tff(11,plain,
% 0.19/0.40 (~?[X1: $i] : ![X2: $i] : ?[X3: $i] : ![X4: $i] : (((~big_f(X1, X4)) <=> big_f(X2, X4)) | (((big_f(X1, X4) <=> big_f(X4, X3)) <=> big_f(X3, X4)) <=> big_f(X4, X2)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[10, 6])).
% 0.19/0.40 tff(12,plain,
% 0.19/0.40 (~?[X1: $i] : ![X2: $i] : ?[X3: $i] : ![X4: $i] : (((~big_f(X1, X4)) <=> big_f(X2, X4)) | (((big_f(X1, X4) <=> big_f(X4, X3)) <=> big_f(X3, X4)) <=> big_f(X4, X2)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[11, 6])).
% 0.19/0.40 tff(13,plain,
% 0.19/0.40 (~?[X1: $i] : ![X2: $i] : ?[X3: $i] : ![X4: $i] : (((~big_f(X1, X4)) <=> big_f(X2, X4)) | (((big_f(X1, X4) <=> big_f(X4, X3)) <=> big_f(X3, X4)) <=> big_f(X4, X2)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[12, 6])).
% 0.19/0.40 tff(14,plain,
% 0.19/0.40 (~?[X1: $i] : ![X2: $i] : ?[X3: $i] : ![X4: $i] : (((~big_f(X1, X4)) <=> big_f(X2, X4)) | (((big_f(X1, X4) <=> big_f(X4, X3)) <=> big_f(X3, X4)) <=> big_f(X4, X2)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[13, 6])).
% 0.19/0.40 tff(15,plain,
% 0.19/0.40 (~?[X1: $i] : ![X2: $i] : ?[X3: $i] : ![X4: $i] : (((~big_f(X1, X4)) <=> big_f(X2, X4)) | (((big_f(X1, X4) <=> big_f(X4, X3)) <=> big_f(X3, X4)) <=> big_f(X4, X2)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[14, 6])).
% 0.19/0.40 tff(16,plain,
% 0.19/0.40 (^[X1: $i] : trans(sk($oeq((~![X2: $i] : ?[X3: $i] : ![X4: $i] : (((~big_f(X1, X4)) <=> big_f(X2, X4)) | (((big_f(X1, X4) <=> big_f(X4, X3)) <=> big_f(X3, X4)) <=> big_f(X4, X2)))), (~?[X3: $i] : ![X4: $i] : (((~big_f(X1, X4)) <=> big_f(tptp_fun_X2_0(X1), X4)) | (((big_f(X1, X4) <=> big_f(X4, X3)) <=> big_f(X3, X4)) <=> big_f(X4, tptp_fun_X2_0(X1))))))), nnf_neg(proof_bind(^[X3: $i] : sk($oeq((~![X4: $i] : (((~big_f(X1, X4)) <=> big_f(tptp_fun_X2_0(X1), X4)) | (((big_f(X1, X4) <=> big_f(X4, X3)) <=> big_f(X3, X4)) <=> big_f(X4, tptp_fun_X2_0(X1))))), (~(((~big_f(X1, tptp_fun_X4_1(X3, X1))) <=> big_f(tptp_fun_X2_0(X1), tptp_fun_X4_1(X3, X1))) | (((big_f(X1, tptp_fun_X4_1(X3, X1)) <=> big_f(tptp_fun_X4_1(X3, X1), X3)) <=> big_f(X3, tptp_fun_X4_1(X3, X1))) <=> big_f(tptp_fun_X4_1(X3, X1), tptp_fun_X2_0(X1)))))))), $oeq((~?[X3: $i] : ![X4: $i] : (((~big_f(X1, X4)) <=> big_f(tptp_fun_X2_0(X1), X4)) | (((big_f(X1, X4) <=> big_f(X4, X3)) <=> big_f(X3, X4)) <=> big_f(X4, tptp_fun_X2_0(X1))))), ![X3: $i] : (~(((~big_f(X1, tptp_fun_X4_1(X3, X1))) <=> big_f(tptp_fun_X2_0(X1), tptp_fun_X4_1(X3, X1))) | (((big_f(X1, tptp_fun_X4_1(X3, X1)) <=> big_f(tptp_fun_X4_1(X3, X1), X3)) <=> big_f(X3, tptp_fun_X4_1(X3, X1))) <=> big_f(tptp_fun_X4_1(X3, X1), tptp_fun_X2_0(X1))))))), $oeq((~![X2: $i] : ?[X3: $i] : ![X4: $i] : (((~big_f(X1, X4)) <=> big_f(X2, X4)) | (((big_f(X1, X4) <=> big_f(X4, X3)) <=> big_f(X3, X4)) <=> big_f(X4, X2)))), ![X3: $i] : (~(((~big_f(X1, tptp_fun_X4_1(X3, X1))) <=> big_f(tptp_fun_X2_0(X1), tptp_fun_X4_1(X3, X1))) | (((big_f(X1, tptp_fun_X4_1(X3, X1)) <=> big_f(tptp_fun_X4_1(X3, X1), X3)) <=> big_f(X3, tptp_fun_X4_1(X3, X1))) <=> big_f(tptp_fun_X4_1(X3, X1), tptp_fun_X2_0(X1)))))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(17,plain,(
% 0.19/0.40 ![X1: $i] : ![X3: $i] : (~(((~big_f(X1, tptp_fun_X4_1(X3, X1))) <=> big_f(tptp_fun_X2_0(X1), tptp_fun_X4_1(X3, X1))) | (((big_f(X1, tptp_fun_X4_1(X3, X1)) <=> big_f(tptp_fun_X4_1(X3, X1), X3)) <=> big_f(X3, tptp_fun_X4_1(X3, X1))) <=> big_f(tptp_fun_X4_1(X3, X1), tptp_fun_X2_0(X1)))))),
% 0.19/0.40 inference(nnf-neg,[status(sab)],[15, 16])).
% 0.19/0.40 tff(18,plain,
% 0.19/0.40 (![X1: $i, X3: $i] : (~(((~big_f(X1, tptp_fun_X4_1(X3, X1))) <=> big_f(tptp_fun_X2_0(X1), tptp_fun_X4_1(X3, X1))) | (((big_f(X1, tptp_fun_X4_1(X3, X1)) <=> big_f(tptp_fun_X4_1(X3, X1), X3)) <=> big_f(X3, tptp_fun_X4_1(X3, X1))) <=> big_f(tptp_fun_X4_1(X3, X1), tptp_fun_X2_0(X1)))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[17, 5])).
% 0.19/0.40 tff(19,plain,
% 0.19/0.40 ((~![X1: $i, X3: $i] : (~(((~big_f(X1, tptp_fun_X4_1(X3, X1))) <=> big_f(tptp_fun_X2_0(X1), tptp_fun_X4_1(X3, X1))) | (((big_f(X1, tptp_fun_X4_1(X3, X1)) <=> big_f(tptp_fun_X4_1(X3, X1), X3)) <=> big_f(X3, tptp_fun_X4_1(X3, X1))) <=> big_f(tptp_fun_X4_1(X3, X1), tptp_fun_X2_0(X1)))))) | (~(((~big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))) | (((big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2))))))),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(20,plain,
% 0.19/0.40 (~(((~big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))) | (((big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[19, 18])).
% 0.19/0.40 tff(21,plain,
% 0.19/0.40 ((((~big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))) | (((big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2))))) | (~((~big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(22,plain,
% 0.19/0.40 (~((~big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[21, 20])).
% 0.19/0.40 tff(23,plain,
% 0.19/0.40 (((~big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))) | (~big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))) | big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(24,plain,
% 0.19/0.40 ((~big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))) | big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[23, 22])).
% 0.19/0.40 tff(25,plain,
% 0.19/0.40 (~big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[24, 2])).
% 0.19/0.40 tff(26,plain,
% 0.19/0.40 ((big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))) | big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) | big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(27,plain,
% 0.19/0.40 (big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[26, 25, 1])).
% 0.19/0.40 tff(28,plain,
% 0.19/0.40 ((((~big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))) | (((big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2))))) | (~(((big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(29,plain,
% 0.19/0.40 (~(((big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[28, 20])).
% 0.19/0.40 tff(30,plain,
% 0.19/0.40 ((((big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))) | (~((big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))))) | (~big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2))))),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(31,plain,
% 0.19/0.41 ((~((big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))))) | (~big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2))))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[30, 29])).
% 0.19/0.41 tff(32,plain,
% 0.19/0.41 ($false),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[31, 27, 4])).
% 0.19/0.41 tff(33,plain,(big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) | (big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2))))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.41 tff(34,plain,
% 0.19/0.41 (big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[33, 1])).
% 0.19/0.41 tff(35,plain,
% 0.19/0.41 ((~((big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))))) | (big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))) | (~big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))))),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(36,plain,
% 0.19/0.41 (~((big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[35, 34, 1])).
% 0.19/0.41 tff(37,plain,
% 0.19/0.41 (((~big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))) | big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) | (~big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))))),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(38,plain,
% 0.19/0.41 (big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) | (~big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[37, 22])).
% 0.19/0.41 tff(39,plain,
% 0.19/0.41 (big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[38, 34])).
% 0.19/0.41 tff(40,plain,
% 0.19/0.41 ((big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))) | (~big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))) | (~big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2))))),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(41,plain,
% 0.19/0.41 (~big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[40, 39, 1])).
% 0.19/0.41 tff(42,plain,
% 0.19/0.41 ((((big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))) | ((big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))) | big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(43,plain,
% 0.19/0.41 (((big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))) | big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[42, 29])).
% 0.19/0.41 tff(44,plain,
% 0.19/0.41 ($false),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[43, 41, 36])).
% 0.19/0.41 tff(45,plain,(big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.41 tff(46,plain,
% 0.19/0.41 ((~((big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))))) | (~(big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2))))) | big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(47,plain,
% 0.19/0.41 (~((big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[46, 2, 45])).
% 0.19/0.41 tff(48,plain,
% 0.19/0.41 ((~(big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2))))) | big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) | (~big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2))))),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(49,plain,
% 0.19/0.41 (~big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[48, 25, 45])).
% 0.19/0.41 tff(50,plain,
% 0.19/0.41 ($false),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[43, 49, 47])).
% 0.19/0.41 tff(51,plain,(big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.41 tff(52,plain,
% 0.19/0.41 (((big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))) | (~(big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2))))) | (~big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))))),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(53,plain,
% 0.19/0.41 ((big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))) <=> big_f(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[52, 51, 45])).
% 0.19/0.41 tff(54,plain,
% 0.19/0.41 (big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[38, 51])).
% 0.19/0.41 tff(55,plain,
% 0.19/0.41 ((~(big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2))) <=> big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2))))) | (~big_f(tptp_fun_X4_1(elem!2, elem!2), tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)))) | big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))),
% 0.19/0.42 inference(tautology,[status(thm)],[])).
% 0.19/0.42 tff(56,plain,
% 0.19/0.42 (big_f(tptp_fun_X4_1(tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X4_1(elem!2, elem!2)), tptp_fun_X2_0(tptp_fun_X4_1(elem!2, elem!2)))),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[55, 54, 45])).
% 0.19/0.42 tff(57,plain,
% 0.19/0.42 ($false),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[31, 56, 53])).
% 0.19/0.42 % SZS output end Proof
%------------------------------------------------------------------------------