TSTP Solution File: SYN327+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN327+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n001.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 23:54:44 EDT 2022
% Result : Theorem 0.21s 0.43s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYN327+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.35 % Computer : n001.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Sep 5 02:56:44 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 0.21/0.43 % SZS status Theorem
% 0.21/0.43 % SZS output start Proof
% 0.21/0.43 tff(big_f_type, type, (
% 0.21/0.43 big_f: ( $i * $i ) > $o)).
% 0.21/0.43 tff(tptp_fun_Z_1_type, type, (
% 0.21/0.43 tptp_fun_Z_1: $i > $i)).
% 0.21/0.43 tff(tptp_fun_X_0_type, type, (
% 0.21/0.43 tptp_fun_X_0: $i)).
% 0.21/0.43 tff(1,plain,
% 0.21/0.43 (^[Y: $i] : refl((~((~big_f(Y, X!0)) | (~((~((~big_f(X!0, tptp_fun_Z_1(Y))) | big_f(X!0, Y))) | (~((~big_f(X!0, Y)) | big_f(X!0, tptp_fun_Z_1(Y)) | (~((~big_f(Y, X!0)) | (~big_f(tptp_fun_Z_1(Y), Y)))))))))) <=> (~((~big_f(Y, X!0)) | (~((~((~big_f(X!0, tptp_fun_Z_1(Y))) | big_f(X!0, Y))) | (~((~big_f(X!0, Y)) | big_f(X!0, tptp_fun_Z_1(Y)) | (~((~big_f(Y, X!0)) | (~big_f(tptp_fun_Z_1(Y), Y)))))))))))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(2,plain,
% 0.21/0.43 (![Y: $i] : (~((~big_f(Y, X!0)) | (~((~((~big_f(X!0, tptp_fun_Z_1(Y))) | big_f(X!0, Y))) | (~((~big_f(X!0, Y)) | big_f(X!0, tptp_fun_Z_1(Y)) | (~((~big_f(Y, X!0)) | (~big_f(tptp_fun_Z_1(Y), Y)))))))))) <=> ![Y: $i] : (~((~big_f(Y, X!0)) | (~((~((~big_f(X!0, tptp_fun_Z_1(Y))) | big_f(X!0, Y))) | (~((~big_f(X!0, Y)) | big_f(X!0, tptp_fun_Z_1(Y)) | (~((~big_f(Y, X!0)) | (~big_f(tptp_fun_Z_1(Y), Y))))))))))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[1])).
% 0.21/0.43 tff(3,plain,
% 0.21/0.43 (^[Y: $i] : rewrite((~((~big_f(Y, X!0)) | (((~big_f(X!0, tptp_fun_Z_1(Y))) | big_f(X!0, Y)) & ((~big_f(X!0, Y)) | big_f(X!0, tptp_fun_Z_1(Y)) | (big_f(Y, X!0) & big_f(tptp_fun_Z_1(Y), Y)))))) <=> (~((~big_f(Y, X!0)) | (~((~((~big_f(X!0, tptp_fun_Z_1(Y))) | big_f(X!0, Y))) | (~((~big_f(X!0, Y)) | big_f(X!0, tptp_fun_Z_1(Y)) | (~((~big_f(Y, X!0)) | (~big_f(tptp_fun_Z_1(Y), Y)))))))))))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(4,plain,
% 0.21/0.43 (![Y: $i] : (~((~big_f(Y, X!0)) | (((~big_f(X!0, tptp_fun_Z_1(Y))) | big_f(X!0, Y)) & ((~big_f(X!0, Y)) | big_f(X!0, tptp_fun_Z_1(Y)) | (big_f(Y, X!0) & big_f(tptp_fun_Z_1(Y), Y)))))) <=> ![Y: $i] : (~((~big_f(Y, X!0)) | (~((~((~big_f(X!0, tptp_fun_Z_1(Y))) | big_f(X!0, Y))) | (~((~big_f(X!0, Y)) | big_f(X!0, tptp_fun_Z_1(Y)) | (~((~big_f(Y, X!0)) | (~big_f(tptp_fun_Z_1(Y), Y))))))))))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[3])).
% 0.21/0.43 tff(5,plain,
% 0.21/0.43 (^[Y: $i] : rewrite((~((~big_f(Y, X!0)) | (((~big_f(X!0, tptp_fun_Z_1(Y))) | big_f(X!0, Y)) & (big_f(X!0, tptp_fun_Z_1(Y)) | (big_f(Y, X!0) & big_f(tptp_fun_Z_1(Y), Y)) | (~big_f(X!0, Y)))))) <=> (~((~big_f(Y, X!0)) | (((~big_f(X!0, tptp_fun_Z_1(Y))) | big_f(X!0, Y)) & ((~big_f(X!0, Y)) | big_f(X!0, tptp_fun_Z_1(Y)) | (big_f(Y, X!0) & big_f(tptp_fun_Z_1(Y), Y)))))))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(6,plain,
% 0.21/0.43 (![Y: $i] : (~((~big_f(Y, X!0)) | (((~big_f(X!0, tptp_fun_Z_1(Y))) | big_f(X!0, Y)) & (big_f(X!0, tptp_fun_Z_1(Y)) | (big_f(Y, X!0) & big_f(tptp_fun_Z_1(Y), Y)) | (~big_f(X!0, Y)))))) <=> ![Y: $i] : (~((~big_f(Y, X!0)) | (((~big_f(X!0, tptp_fun_Z_1(Y))) | big_f(X!0, Y)) & ((~big_f(X!0, Y)) | big_f(X!0, tptp_fun_Z_1(Y)) | (big_f(Y, X!0) & big_f(tptp_fun_Z_1(Y), Y))))))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[5])).
% 0.21/0.43 tff(7,plain,
% 0.21/0.43 ((~![X: $i] : ?[Y: $i] : ![Z: $i] : ((~big_f(Y, X)) | (((~big_f(X, Z)) | big_f(X, Y)) & (big_f(X, Z) | (big_f(Y, X) & big_f(Z, Y)) | (~big_f(X, Y)))))) <=> (~![X: $i] : ?[Y: $i] : ![Z: $i] : ((~big_f(Y, X)) | (((~big_f(X, Z)) | big_f(X, Y)) & (big_f(X, Z) | (big_f(Y, X) & big_f(Z, Y)) | (~big_f(X, Y))))))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(8,plain,
% 0.21/0.43 ((~![X: $i] : ?[Y: $i] : ![Z: $i] : (big_f(Y, X) => ((big_f(X, Z) => big_f(X, Y)) & (big_f(X, Y) => ((~big_f(X, Z)) => (big_f(Y, X) & big_f(Z, Y))))))) <=> (~![X: $i] : ?[Y: $i] : ![Z: $i] : ((~big_f(Y, X)) | (((~big_f(X, Z)) | big_f(X, Y)) & (big_f(X, Z) | (big_f(Y, X) & big_f(Z, Y)) | (~big_f(X, Y))))))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(9,axiom,(~![X: $i] : ?[Y: $i] : ![Z: $i] : (big_f(Y, X) => ((big_f(X, Z) => big_f(X, Y)) & (big_f(X, Y) => ((~big_f(X, Z)) => (big_f(Y, X) & big_f(Z, Y))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','church_46_12_2')).
% 0.21/0.43 tff(10,plain,
% 0.21/0.43 (~![X: $i] : ?[Y: $i] : ![Z: $i] : ((~big_f(Y, X)) | (((~big_f(X, Z)) | big_f(X, Y)) & (big_f(X, Z) | (big_f(Y, X) & big_f(Z, Y)) | (~big_f(X, Y)))))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[9, 8])).
% 0.21/0.44 tff(11,plain,
% 0.21/0.44 (~![X: $i] : ?[Y: $i] : ![Z: $i] : ((~big_f(Y, X)) | (((~big_f(X, Z)) | big_f(X, Y)) & (big_f(X, Z) | (big_f(Y, X) & big_f(Z, Y)) | (~big_f(X, Y)))))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[10, 7])).
% 0.21/0.44 tff(12,plain,
% 0.21/0.44 (~![X: $i] : ?[Y: $i] : ![Z: $i] : ((~big_f(Y, X)) | (((~big_f(X, Z)) | big_f(X, Y)) & (big_f(X, Z) | (big_f(Y, X) & big_f(Z, Y)) | (~big_f(X, Y)))))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[11, 7])).
% 0.21/0.44 tff(13,plain,
% 0.21/0.44 (~![X: $i] : ?[Y: $i] : ![Z: $i] : ((~big_f(Y, X)) | (((~big_f(X, Z)) | big_f(X, Y)) & (big_f(X, Z) | (big_f(Y, X) & big_f(Z, Y)) | (~big_f(X, Y)))))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[12, 7])).
% 0.21/0.44 tff(14,plain,
% 0.21/0.44 (~![X: $i] : ?[Y: $i] : ![Z: $i] : ((~big_f(Y, X)) | (((~big_f(X, Z)) | big_f(X, Y)) & (big_f(X, Z) | (big_f(Y, X) & big_f(Z, Y)) | (~big_f(X, Y)))))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[13, 7])).
% 0.21/0.44 tff(15,plain,
% 0.21/0.44 (~![X: $i] : ?[Y: $i] : ![Z: $i] : ((~big_f(Y, X)) | (((~big_f(X, Z)) | big_f(X, Y)) & (big_f(X, Z) | (big_f(Y, X) & big_f(Z, Y)) | (~big_f(X, Y)))))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[14, 7])).
% 0.21/0.44 tff(16,plain,
% 0.21/0.44 (~![X: $i] : ?[Y: $i] : ![Z: $i] : ((~big_f(Y, X)) | (((~big_f(X, Z)) | big_f(X, Y)) & (big_f(X, Z) | (big_f(Y, X) & big_f(Z, Y)) | (~big_f(X, Y)))))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[15, 7])).
% 0.21/0.44 tff(17,plain,(
% 0.21/0.44 $oeq((~?[Y: $i] : ![Z: $i] : ((~big_f(Y, X!0)) | (((~big_f(X!0, Z)) | big_f(X!0, Y)) & (big_f(X!0, Z) | (big_f(Y, X!0) & big_f(Z, Y)) | (~big_f(X!0, Y)))))), ![Y: $i] : (~((~big_f(Y, X!0)) | (((~big_f(X!0, tptp_fun_Z_1(Y))) | big_f(X!0, Y)) & (big_f(X!0, tptp_fun_Z_1(Y)) | (big_f(Y, X!0) & big_f(tptp_fun_Z_1(Y), Y)) | (~big_f(X!0, Y)))))))),
% 0.21/0.44 inference(transitivity,[status(sab)],[16])).
% 0.21/0.44 tff(18,plain,
% 0.21/0.44 (![Y: $i] : (~((~big_f(Y, X!0)) | (((~big_f(X!0, tptp_fun_Z_1(Y))) | big_f(X!0, Y)) & ((~big_f(X!0, Y)) | big_f(X!0, tptp_fun_Z_1(Y)) | (big_f(Y, X!0) & big_f(tptp_fun_Z_1(Y), Y))))))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[17, 6])).
% 0.21/0.44 tff(19,plain,
% 0.21/0.44 (![Y: $i] : (~((~big_f(Y, X!0)) | (~((~((~big_f(X!0, tptp_fun_Z_1(Y))) | big_f(X!0, Y))) | (~((~big_f(X!0, Y)) | big_f(X!0, tptp_fun_Z_1(Y)) | (~((~big_f(Y, X!0)) | (~big_f(tptp_fun_Z_1(Y), Y))))))))))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[18, 4])).
% 0.21/0.44 tff(20,plain,
% 0.21/0.44 (![Y: $i] : (~((~big_f(Y, X!0)) | (~((~((~big_f(X!0, tptp_fun_Z_1(Y))) | big_f(X!0, Y))) | (~((~big_f(X!0, Y)) | big_f(X!0, tptp_fun_Z_1(Y)) | (~((~big_f(Y, X!0)) | (~big_f(tptp_fun_Z_1(Y), Y))))))))))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[19, 2])).
% 0.21/0.44 tff(21,plain,
% 0.21/0.44 ((~![Y: $i] : (~((~big_f(Y, X!0)) | (~((~((~big_f(X!0, tptp_fun_Z_1(Y))) | big_f(X!0, Y))) | (~((~big_f(X!0, Y)) | big_f(X!0, tptp_fun_Z_1(Y)) | (~((~big_f(Y, X!0)) | (~big_f(tptp_fun_Z_1(Y), Y))))))))))) | (~((~big_f(X!0, X!0)) | (~((~((~big_f(X!0, tptp_fun_Z_1(X!0))) | big_f(X!0, X!0))) | (~((~big_f(X!0, X!0)) | big_f(X!0, tptp_fun_Z_1(X!0)) | (~((~big_f(X!0, X!0)) | (~big_f(tptp_fun_Z_1(X!0), X!0))))))))))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(22,plain,
% 0.21/0.44 (~((~big_f(X!0, X!0)) | (~((~((~big_f(X!0, tptp_fun_Z_1(X!0))) | big_f(X!0, X!0))) | (~((~big_f(X!0, X!0)) | big_f(X!0, tptp_fun_Z_1(X!0)) | (~((~big_f(X!0, X!0)) | (~big_f(tptp_fun_Z_1(X!0), X!0)))))))))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[21, 20])).
% 0.21/0.44 tff(23,plain,
% 0.21/0.44 (((~big_f(X!0, X!0)) | (~((~((~big_f(X!0, tptp_fun_Z_1(X!0))) | big_f(X!0, X!0))) | (~((~big_f(X!0, X!0)) | big_f(X!0, tptp_fun_Z_1(X!0)) | (~((~big_f(X!0, X!0)) | (~big_f(tptp_fun_Z_1(X!0), X!0))))))))) | big_f(X!0, X!0)),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(24,plain,
% 0.21/0.44 (big_f(X!0, X!0)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[23, 22])).
% 0.21/0.44 tff(25,plain,
% 0.21/0.44 (((~big_f(X!0, X!0)) | (~((~((~big_f(X!0, tptp_fun_Z_1(X!0))) | big_f(X!0, X!0))) | (~((~big_f(X!0, X!0)) | big_f(X!0, tptp_fun_Z_1(X!0)) | (~((~big_f(X!0, X!0)) | (~big_f(tptp_fun_Z_1(X!0), X!0))))))))) | ((~((~big_f(X!0, tptp_fun_Z_1(X!0))) | big_f(X!0, X!0))) | (~((~big_f(X!0, X!0)) | big_f(X!0, tptp_fun_Z_1(X!0)) | (~((~big_f(X!0, X!0)) | (~big_f(tptp_fun_Z_1(X!0), X!0)))))))),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(26,plain,
% 0.21/0.44 ((~((~big_f(X!0, tptp_fun_Z_1(X!0))) | big_f(X!0, X!0))) | (~((~big_f(X!0, X!0)) | big_f(X!0, tptp_fun_Z_1(X!0)) | (~((~big_f(X!0, X!0)) | (~big_f(tptp_fun_Z_1(X!0), X!0))))))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[25, 22])).
% 0.21/0.44 tff(27,plain,
% 0.21/0.44 (((~big_f(X!0, tptp_fun_Z_1(X!0))) | big_f(X!0, X!0)) | (~big_f(X!0, X!0))),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(28,plain,
% 0.21/0.44 ((~big_f(X!0, tptp_fun_Z_1(X!0))) | big_f(X!0, X!0)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[27, 24])).
% 0.21/0.44 tff(29,plain,
% 0.21/0.44 ((~((~((~big_f(X!0, tptp_fun_Z_1(X!0))) | big_f(X!0, X!0))) | (~((~big_f(X!0, X!0)) | big_f(X!0, tptp_fun_Z_1(X!0)) | (~((~big_f(X!0, X!0)) | (~big_f(tptp_fun_Z_1(X!0), X!0)))))))) | (~((~big_f(X!0, tptp_fun_Z_1(X!0))) | big_f(X!0, X!0))) | (~((~big_f(X!0, X!0)) | big_f(X!0, tptp_fun_Z_1(X!0)) | (~((~big_f(X!0, X!0)) | (~big_f(tptp_fun_Z_1(X!0), X!0))))))),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(30,plain,
% 0.21/0.44 (~((~big_f(X!0, X!0)) | big_f(X!0, tptp_fun_Z_1(X!0)) | (~((~big_f(X!0, X!0)) | (~big_f(tptp_fun_Z_1(X!0), X!0)))))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[29, 28, 26])).
% 0.21/0.44 tff(31,plain,
% 0.21/0.44 (((~big_f(X!0, X!0)) | big_f(X!0, tptp_fun_Z_1(X!0)) | (~((~big_f(X!0, X!0)) | (~big_f(tptp_fun_Z_1(X!0), X!0))))) | ((~big_f(X!0, X!0)) | (~big_f(tptp_fun_Z_1(X!0), X!0)))),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(32,plain,
% 0.21/0.44 ((~big_f(X!0, X!0)) | (~big_f(tptp_fun_Z_1(X!0), X!0))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[31, 30])).
% 0.21/0.44 tff(33,plain,
% 0.21/0.44 ((~((~big_f(X!0, X!0)) | (~big_f(tptp_fun_Z_1(X!0), X!0)))) | (~big_f(X!0, X!0)) | (~big_f(tptp_fun_Z_1(X!0), X!0))),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(34,plain,
% 0.21/0.44 (~big_f(tptp_fun_Z_1(X!0), X!0)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[33, 32, 24])).
% 0.21/0.44 tff(35,plain,
% 0.21/0.44 (((~big_f(tptp_fun_Z_1(X!0), X!0)) | (~((~((~big_f(X!0, tptp_fun_Z_1(tptp_fun_Z_1(X!0)))) | big_f(X!0, tptp_fun_Z_1(X!0)))) | (~((~big_f(X!0, tptp_fun_Z_1(X!0))) | big_f(X!0, tptp_fun_Z_1(tptp_fun_Z_1(X!0))) | (~((~big_f(tptp_fun_Z_1(X!0), X!0)) | (~big_f(tptp_fun_Z_1(tptp_fun_Z_1(X!0)), tptp_fun_Z_1(X!0)))))))))) | big_f(tptp_fun_Z_1(X!0), X!0)),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(36,plain,
% 0.21/0.44 ((~big_f(tptp_fun_Z_1(X!0), X!0)) | (~((~((~big_f(X!0, tptp_fun_Z_1(tptp_fun_Z_1(X!0)))) | big_f(X!0, tptp_fun_Z_1(X!0)))) | (~((~big_f(X!0, tptp_fun_Z_1(X!0))) | big_f(X!0, tptp_fun_Z_1(tptp_fun_Z_1(X!0))) | (~((~big_f(tptp_fun_Z_1(X!0), X!0)) | (~big_f(tptp_fun_Z_1(tptp_fun_Z_1(X!0)), tptp_fun_Z_1(X!0)))))))))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[35, 34])).
% 0.21/0.44 tff(37,plain,
% 0.21/0.44 ((~![Y: $i] : (~((~big_f(Y, X!0)) | (~((~((~big_f(X!0, tptp_fun_Z_1(Y))) | big_f(X!0, Y))) | (~((~big_f(X!0, Y)) | big_f(X!0, tptp_fun_Z_1(Y)) | (~((~big_f(Y, X!0)) | (~big_f(tptp_fun_Z_1(Y), Y))))))))))) | (~((~big_f(tptp_fun_Z_1(X!0), X!0)) | (~((~((~big_f(X!0, tptp_fun_Z_1(tptp_fun_Z_1(X!0)))) | big_f(X!0, tptp_fun_Z_1(X!0)))) | (~((~big_f(X!0, tptp_fun_Z_1(X!0))) | big_f(X!0, tptp_fun_Z_1(tptp_fun_Z_1(X!0))) | (~((~big_f(tptp_fun_Z_1(X!0), X!0)) | (~big_f(tptp_fun_Z_1(tptp_fun_Z_1(X!0)), tptp_fun_Z_1(X!0)))))))))))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(38,plain,
% 0.21/0.44 ($false),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[37, 20, 36])).
% 0.21/0.44 % SZS output end Proof
%------------------------------------------------------------------------------