TSTP Solution File: SYN331+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN331+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n009.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 23:54:46 EDT 2022
% Result : Theorem 0.19s 0.39s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN331+1 : TPTP v8.1.0. Released v2.0.0.
% 0.00/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Sep 5 02:34:35 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.19/0.35 Usage: tptp [options] [-file:]file
% 0.19/0.35 -h, -? prints this message.
% 0.19/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.19/0.35 -m, -model generate model.
% 0.19/0.35 -p, -proof generate proof.
% 0.19/0.35 -c, -core generate unsat core of named formulas.
% 0.19/0.35 -st, -statistics display statistics.
% 0.19/0.35 -t:timeout set timeout (in second).
% 0.19/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.19/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.19/0.35 -<param>:<value> configuration parameter and value.
% 0.19/0.35 -o:<output-file> file to place output in.
% 0.19/0.39 % SZS status Theorem
% 0.19/0.39 % SZS output start Proof
% 0.19/0.39 tff(big_f_type, type, (
% 0.19/0.39 big_f: ( $i * $i ) > $o)).
% 0.19/0.39 tff(tptp_fun_Z_0_type, type, (
% 0.19/0.39 tptp_fun_Z_0: ( $i * $i ) > $i)).
% 0.19/0.39 tff(elem_1_type, type, (
% 0.19/0.39 elem_1: $i)).
% 0.19/0.39 tff(1,plain,
% 0.19/0.39 (^[X: $i, Y: $i] : refl((~(big_f(tptp_fun_Z_0(Y, X), Y) | big_f(tptp_fun_Z_0(Y, X), X) | (~(big_f(Y, X) | big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X)))) | ((~big_f(X, Y)) <=> big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X))) | (~big_f(Y, tptp_fun_Z_0(Y, X))) | (~big_f(X, tptp_fun_Z_0(Y, X))))) <=> (~(big_f(tptp_fun_Z_0(Y, X), Y) | big_f(tptp_fun_Z_0(Y, X), X) | (~(big_f(Y, X) | big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X)))) | ((~big_f(X, Y)) <=> big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X))) | (~big_f(Y, tptp_fun_Z_0(Y, X))) | (~big_f(X, tptp_fun_Z_0(Y, X))))))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(2,plain,
% 0.19/0.39 (![X: $i, Y: $i] : (~(big_f(tptp_fun_Z_0(Y, X), Y) | big_f(tptp_fun_Z_0(Y, X), X) | (~(big_f(Y, X) | big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X)))) | ((~big_f(X, Y)) <=> big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X))) | (~big_f(Y, tptp_fun_Z_0(Y, X))) | (~big_f(X, tptp_fun_Z_0(Y, X))))) <=> ![X: $i, Y: $i] : (~(big_f(tptp_fun_Z_0(Y, X), Y) | big_f(tptp_fun_Z_0(Y, X), X) | (~(big_f(Y, X) | big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X)))) | ((~big_f(X, Y)) <=> big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X))) | (~big_f(Y, tptp_fun_Z_0(Y, X))) | (~big_f(X, tptp_fun_Z_0(Y, X)))))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[1])).
% 0.19/0.39 tff(3,plain,
% 0.19/0.39 ((~?[X: $i, Y: $i] : ![Z: $i] : (big_f(Z, Y) | big_f(Z, X) | (~(big_f(Y, X) | big_f(Z, Z))) | ((~big_f(X, Y)) <=> big_f(Z, Z)) | (~big_f(Y, Z)) | (~big_f(X, Z)))) <=> (~?[X: $i, Y: $i] : ![Z: $i] : (big_f(Z, Y) | big_f(Z, X) | (~(big_f(Y, X) | big_f(Z, Z))) | ((~big_f(X, Y)) <=> big_f(Z, Z)) | (~big_f(Y, Z)) | (~big_f(X, Z))))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(4,plain,
% 0.19/0.39 ((~?[X: $i, Y: $i] : ![Z: $i] : (big_f(X, Z) => (big_f(Y, Z) => ((big_f(X, Y) <=> big_f(Z, Z)) => ((big_f(Y, X) | big_f(Z, Z)) => (big_f(Z, X) | big_f(Z, Y))))))) <=> (~?[X: $i, Y: $i] : ![Z: $i] : (big_f(Z, Y) | big_f(Z, X) | (~(big_f(Y, X) | big_f(Z, Z))) | ((~big_f(X, Y)) <=> big_f(Z, Z)) | (~big_f(Y, Z)) | (~big_f(X, Z))))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(5,axiom,(~?[X: $i, Y: $i] : ![Z: $i] : (big_f(X, Z) => (big_f(Y, Z) => ((big_f(X, Y) <=> big_f(Z, Z)) => ((big_f(Y, X) | big_f(Z, Z)) => (big_f(Z, X) | big_f(Z, Y))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','church_46_14_3')).
% 0.19/0.39 tff(6,plain,
% 0.19/0.39 (~?[X: $i, Y: $i] : ![Z: $i] : (big_f(Z, Y) | big_f(Z, X) | (~(big_f(Y, X) | big_f(Z, Z))) | ((~big_f(X, Y)) <=> big_f(Z, Z)) | (~big_f(Y, Z)) | (~big_f(X, Z)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.19/0.39 tff(7,plain,
% 0.19/0.39 (~?[X: $i, Y: $i] : ![Z: $i] : (big_f(Z, Y) | big_f(Z, X) | (~(big_f(Y, X) | big_f(Z, Z))) | ((~big_f(X, Y)) <=> big_f(Z, Z)) | (~big_f(Y, Z)) | (~big_f(X, Z)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[6, 3])).
% 0.19/0.39 tff(8,plain,
% 0.19/0.39 (~?[X: $i, Y: $i] : ![Z: $i] : (big_f(Z, Y) | big_f(Z, X) | (~(big_f(Y, X) | big_f(Z, Z))) | ((~big_f(X, Y)) <=> big_f(Z, Z)) | (~big_f(Y, Z)) | (~big_f(X, Z)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.19/0.39 tff(9,plain,
% 0.19/0.39 (~?[X: $i, Y: $i] : ![Z: $i] : (big_f(Z, Y) | big_f(Z, X) | (~(big_f(Y, X) | big_f(Z, Z))) | ((~big_f(X, Y)) <=> big_f(Z, Z)) | (~big_f(Y, Z)) | (~big_f(X, Z)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[8, 3])).
% 0.19/0.39 tff(10,plain,
% 0.19/0.39 (~?[X: $i, Y: $i] : ![Z: $i] : (big_f(Z, Y) | big_f(Z, X) | (~(big_f(Y, X) | big_f(Z, Z))) | ((~big_f(X, Y)) <=> big_f(Z, Z)) | (~big_f(Y, Z)) | (~big_f(X, Z)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[9, 3])).
% 0.19/0.39 tff(11,plain,
% 0.19/0.39 (~?[X: $i, Y: $i] : ![Z: $i] : (big_f(Z, Y) | big_f(Z, X) | (~(big_f(Y, X) | big_f(Z, Z))) | ((~big_f(X, Y)) <=> big_f(Z, Z)) | (~big_f(Y, Z)) | (~big_f(X, Z)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.19/0.39 tff(12,plain,
% 0.19/0.39 (~?[X: $i, Y: $i] : ![Z: $i] : (big_f(Z, Y) | big_f(Z, X) | (~(big_f(Y, X) | big_f(Z, Z))) | ((~big_f(X, Y)) <=> big_f(Z, Z)) | (~big_f(Y, Z)) | (~big_f(X, Z)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[11, 3])).
% 0.19/0.39 tff(13,plain,
% 0.19/0.39 (^[X: $i, Y: $i] : sk($oeq((~![Z: $i] : (big_f(Z, Y) | big_f(Z, X) | (~(big_f(Y, X) | big_f(Z, Z))) | ((~big_f(X, Y)) <=> big_f(Z, Z)) | (~big_f(Y, Z)) | (~big_f(X, Z)))), (~(big_f(tptp_fun_Z_0(Y, X), Y) | big_f(tptp_fun_Z_0(Y, X), X) | (~(big_f(Y, X) | big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X)))) | ((~big_f(X, Y)) <=> big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X))) | (~big_f(Y, tptp_fun_Z_0(Y, X))) | (~big_f(X, tptp_fun_Z_0(Y, X)))))))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(14,plain,(
% 0.19/0.39 ![X: $i, Y: $i] : (~(big_f(tptp_fun_Z_0(Y, X), Y) | big_f(tptp_fun_Z_0(Y, X), X) | (~(big_f(Y, X) | big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X)))) | ((~big_f(X, Y)) <=> big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X))) | (~big_f(Y, tptp_fun_Z_0(Y, X))) | (~big_f(X, tptp_fun_Z_0(Y, X)))))),
% 0.19/0.39 inference(nnf-neg,[status(sab)],[12, 13])).
% 0.19/0.39 tff(15,plain,
% 0.19/0.39 (![X: $i, Y: $i] : (~(big_f(tptp_fun_Z_0(Y, X), Y) | big_f(tptp_fun_Z_0(Y, X), X) | (~(big_f(Y, X) | big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X)))) | ((~big_f(X, Y)) <=> big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X))) | (~big_f(Y, tptp_fun_Z_0(Y, X))) | (~big_f(X, tptp_fun_Z_0(Y, X)))))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[14, 2])).
% 0.19/0.39 tff(16,plain,
% 0.19/0.39 (((~![X: $i, Y: $i] : (~(big_f(tptp_fun_Z_0(Y, X), Y) | big_f(tptp_fun_Z_0(Y, X), X) | (~(big_f(Y, X) | big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X)))) | ((~big_f(X, Y)) <=> big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X))) | (~big_f(Y, tptp_fun_Z_0(Y, X))) | (~big_f(X, tptp_fun_Z_0(Y, X)))))) | (~(big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | (~(big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))) | ((~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))) <=> big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))) | (~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))))) <=> ((~![X: $i, Y: $i] : (~(big_f(tptp_fun_Z_0(Y, X), Y) | big_f(tptp_fun_Z_0(Y, X), X) | (~(big_f(Y, X) | big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X)))) | ((~big_f(X, Y)) <=> big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X))) | (~big_f(Y, tptp_fun_Z_0(Y, X))) | (~big_f(X, tptp_fun_Z_0(Y, X)))))) | (~(big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | (~(big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))) | ((~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))) <=> big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))) | (~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))))))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(17,plain,
% 0.19/0.40 ((~(big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | (~(big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))) | ((~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))) <=> big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))) | (~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))) | (~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))))) <=> (~(big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | (~(big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))) | ((~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))) <=> big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))) | (~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(18,plain,
% 0.19/0.40 (((~![X: $i, Y: $i] : (~(big_f(tptp_fun_Z_0(Y, X), Y) | big_f(tptp_fun_Z_0(Y, X), X) | (~(big_f(Y, X) | big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X)))) | ((~big_f(X, Y)) <=> big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X))) | (~big_f(Y, tptp_fun_Z_0(Y, X))) | (~big_f(X, tptp_fun_Z_0(Y, X)))))) | (~(big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | (~(big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))) | ((~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))) <=> big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))) | (~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))) | (~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))))) <=> ((~![X: $i, Y: $i] : (~(big_f(tptp_fun_Z_0(Y, X), Y) | big_f(tptp_fun_Z_0(Y, X), X) | (~(big_f(Y, X) | big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X)))) | ((~big_f(X, Y)) <=> big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X))) | (~big_f(Y, tptp_fun_Z_0(Y, X))) | (~big_f(X, tptp_fun_Z_0(Y, X)))))) | (~(big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | (~(big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))) | ((~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))) <=> big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))) | (~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))))))),
% 0.19/0.40 inference(monotonicity,[status(thm)],[17])).
% 0.19/0.40 tff(19,plain,
% 0.19/0.40 (((~![X: $i, Y: $i] : (~(big_f(tptp_fun_Z_0(Y, X), Y) | big_f(tptp_fun_Z_0(Y, X), X) | (~(big_f(Y, X) | big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X)))) | ((~big_f(X, Y)) <=> big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X))) | (~big_f(Y, tptp_fun_Z_0(Y, X))) | (~big_f(X, tptp_fun_Z_0(Y, X)))))) | (~(big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | (~(big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))) | ((~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))) <=> big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))) | (~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))) | (~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))))) <=> ((~![X: $i, Y: $i] : (~(big_f(tptp_fun_Z_0(Y, X), Y) | big_f(tptp_fun_Z_0(Y, X), X) | (~(big_f(Y, X) | big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X)))) | ((~big_f(X, Y)) <=> big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X))) | (~big_f(Y, tptp_fun_Z_0(Y, X))) | (~big_f(X, tptp_fun_Z_0(Y, X)))))) | (~(big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | (~(big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))) | ((~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))) <=> big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))) | (~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))))))),
% 0.19/0.40 inference(transitivity,[status(thm)],[18, 16])).
% 0.19/0.40 tff(20,plain,
% 0.19/0.40 ((~![X: $i, Y: $i] : (~(big_f(tptp_fun_Z_0(Y, X), Y) | big_f(tptp_fun_Z_0(Y, X), X) | (~(big_f(Y, X) | big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X)))) | ((~big_f(X, Y)) <=> big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X))) | (~big_f(Y, tptp_fun_Z_0(Y, X))) | (~big_f(X, tptp_fun_Z_0(Y, X)))))) | (~(big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | (~(big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))) | ((~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))) <=> big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))) | (~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))) | (~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))))),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(21,plain,
% 0.19/0.40 ((~![X: $i, Y: $i] : (~(big_f(tptp_fun_Z_0(Y, X), Y) | big_f(tptp_fun_Z_0(Y, X), X) | (~(big_f(Y, X) | big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X)))) | ((~big_f(X, Y)) <=> big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X))) | (~big_f(Y, tptp_fun_Z_0(Y, X))) | (~big_f(X, tptp_fun_Z_0(Y, X)))))) | (~(big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | (~(big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))) | ((~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))) <=> big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))) | (~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[20, 19])).
% 0.19/0.40 tff(22,plain,
% 0.19/0.40 (~(big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | (~(big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))) | ((~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))) <=> big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))) | (~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[21, 15])).
% 0.19/0.41 tff(23,plain,
% 0.19/0.41 ((big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | (~(big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))) | ((~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))) <=> big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))) | (~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))) | (~((~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))) <=> big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))))),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(24,plain,
% 0.19/0.41 (~((~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))) <=> big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[23, 22])).
% 0.19/0.41 tff(25,plain,
% 0.19/0.41 ((big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | (~(big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))) | ((~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))) <=> big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))) | (~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))) | (big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(26,plain,
% 0.19/0.41 (big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[25, 22])).
% 0.19/0.41 tff(27,plain,
% 0.19/0.41 ((~![X: $i, Y: $i] : (~(big_f(tptp_fun_Z_0(Y, X), Y) | big_f(tptp_fun_Z_0(Y, X), X) | (~(big_f(Y, X) | big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X)))) | ((~big_f(X, Y)) <=> big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X))) | (~big_f(Y, tptp_fun_Z_0(Y, X))) | (~big_f(X, tptp_fun_Z_0(Y, X)))))) | (~(big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), elem!1) | big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, elem!1)) | (~(big_f(elem!1, tptp_fun_Z_0(elem!1, elem!1)) | big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))) | ((~big_f(tptp_fun_Z_0(elem!1, elem!1), elem!1)) <=> big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))) | (~big_f(elem!1, tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))) | (~big_f(tptp_fun_Z_0(elem!1, elem!1), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))))),
% 0.19/0.41 inference(quant_inst,[status(thm)],[])).
% 0.19/0.41 tff(28,plain,
% 0.19/0.41 (~(big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), elem!1) | big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, elem!1)) | (~(big_f(elem!1, tptp_fun_Z_0(elem!1, elem!1)) | big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))) | ((~big_f(tptp_fun_Z_0(elem!1, elem!1), elem!1)) <=> big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))) | (~big_f(elem!1, tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))) | (~big_f(tptp_fun_Z_0(elem!1, elem!1), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[27, 15])).
% 0.19/0.41 tff(29,plain,
% 0.19/0.41 ((big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), elem!1) | big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, elem!1)) | (~(big_f(elem!1, tptp_fun_Z_0(elem!1, elem!1)) | big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))) | ((~big_f(tptp_fun_Z_0(elem!1, elem!1), elem!1)) <=> big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))) | (~big_f(elem!1, tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))) | (~big_f(tptp_fun_Z_0(elem!1, elem!1), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))) | (~((~big_f(tptp_fun_Z_0(elem!1, elem!1), elem!1)) <=> big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(30,plain,
% 0.19/0.41 (~((~big_f(tptp_fun_Z_0(elem!1, elem!1), elem!1)) <=> big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[29, 28])).
% 0.19/0.41 tff(31,plain,
% 0.19/0.41 (((~![X: $i, Y: $i] : (~(big_f(tptp_fun_Z_0(Y, X), Y) | big_f(tptp_fun_Z_0(Y, X), X) | (~(big_f(Y, X) | big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X)))) | ((~big_f(X, Y)) <=> big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X))) | (~big_f(Y, tptp_fun_Z_0(Y, X))) | (~big_f(X, tptp_fun_Z_0(Y, X)))))) | (~(big_f(tptp_fun_Z_0(elem!1, elem!1), elem!1) | (~(big_f(elem!1, elem!1) | big_f(tptp_fun_Z_0(elem!1, elem!1), tptp_fun_Z_0(elem!1, elem!1)))) | ((~big_f(elem!1, elem!1)) <=> big_f(tptp_fun_Z_0(elem!1, elem!1), tptp_fun_Z_0(elem!1, elem!1))) | (~big_f(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))) <=> ((~![X: $i, Y: $i] : (~(big_f(tptp_fun_Z_0(Y, X), Y) | big_f(tptp_fun_Z_0(Y, X), X) | (~(big_f(Y, X) | big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X)))) | ((~big_f(X, Y)) <=> big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X))) | (~big_f(Y, tptp_fun_Z_0(Y, X))) | (~big_f(X, tptp_fun_Z_0(Y, X)))))) | (~(big_f(tptp_fun_Z_0(elem!1, elem!1), elem!1) | (~(big_f(elem!1, elem!1) | big_f(tptp_fun_Z_0(elem!1, elem!1), tptp_fun_Z_0(elem!1, elem!1)))) | ((~big_f(elem!1, elem!1)) <=> big_f(tptp_fun_Z_0(elem!1, elem!1), tptp_fun_Z_0(elem!1, elem!1))) | (~big_f(elem!1, tptp_fun_Z_0(elem!1, elem!1))))))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(32,plain,
% 0.19/0.42 ((~(big_f(tptp_fun_Z_0(elem!1, elem!1), elem!1) | big_f(tptp_fun_Z_0(elem!1, elem!1), elem!1) | (~(big_f(elem!1, elem!1) | big_f(tptp_fun_Z_0(elem!1, elem!1), tptp_fun_Z_0(elem!1, elem!1)))) | ((~big_f(elem!1, elem!1)) <=> big_f(tptp_fun_Z_0(elem!1, elem!1), tptp_fun_Z_0(elem!1, elem!1))) | (~big_f(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | (~big_f(elem!1, tptp_fun_Z_0(elem!1, elem!1))))) <=> (~(big_f(tptp_fun_Z_0(elem!1, elem!1), elem!1) | (~(big_f(elem!1, elem!1) | big_f(tptp_fun_Z_0(elem!1, elem!1), tptp_fun_Z_0(elem!1, elem!1)))) | ((~big_f(elem!1, elem!1)) <=> big_f(tptp_fun_Z_0(elem!1, elem!1), tptp_fun_Z_0(elem!1, elem!1))) | (~big_f(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(33,plain,
% 0.19/0.42 (((~![X: $i, Y: $i] : (~(big_f(tptp_fun_Z_0(Y, X), Y) | big_f(tptp_fun_Z_0(Y, X), X) | (~(big_f(Y, X) | big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X)))) | ((~big_f(X, Y)) <=> big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X))) | (~big_f(Y, tptp_fun_Z_0(Y, X))) | (~big_f(X, tptp_fun_Z_0(Y, X)))))) | (~(big_f(tptp_fun_Z_0(elem!1, elem!1), elem!1) | big_f(tptp_fun_Z_0(elem!1, elem!1), elem!1) | (~(big_f(elem!1, elem!1) | big_f(tptp_fun_Z_0(elem!1, elem!1), tptp_fun_Z_0(elem!1, elem!1)))) | ((~big_f(elem!1, elem!1)) <=> big_f(tptp_fun_Z_0(elem!1, elem!1), tptp_fun_Z_0(elem!1, elem!1))) | (~big_f(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | (~big_f(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))) <=> ((~![X: $i, Y: $i] : (~(big_f(tptp_fun_Z_0(Y, X), Y) | big_f(tptp_fun_Z_0(Y, X), X) | (~(big_f(Y, X) | big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X)))) | ((~big_f(X, Y)) <=> big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X))) | (~big_f(Y, tptp_fun_Z_0(Y, X))) | (~big_f(X, tptp_fun_Z_0(Y, X)))))) | (~(big_f(tptp_fun_Z_0(elem!1, elem!1), elem!1) | (~(big_f(elem!1, elem!1) | big_f(tptp_fun_Z_0(elem!1, elem!1), tptp_fun_Z_0(elem!1, elem!1)))) | ((~big_f(elem!1, elem!1)) <=> big_f(tptp_fun_Z_0(elem!1, elem!1), tptp_fun_Z_0(elem!1, elem!1))) | (~big_f(elem!1, tptp_fun_Z_0(elem!1, elem!1))))))),
% 0.19/0.42 inference(monotonicity,[status(thm)],[32])).
% 0.19/0.42 tff(34,plain,
% 0.19/0.42 (((~![X: $i, Y: $i] : (~(big_f(tptp_fun_Z_0(Y, X), Y) | big_f(tptp_fun_Z_0(Y, X), X) | (~(big_f(Y, X) | big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X)))) | ((~big_f(X, Y)) <=> big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X))) | (~big_f(Y, tptp_fun_Z_0(Y, X))) | (~big_f(X, tptp_fun_Z_0(Y, X)))))) | (~(big_f(tptp_fun_Z_0(elem!1, elem!1), elem!1) | big_f(tptp_fun_Z_0(elem!1, elem!1), elem!1) | (~(big_f(elem!1, elem!1) | big_f(tptp_fun_Z_0(elem!1, elem!1), tptp_fun_Z_0(elem!1, elem!1)))) | ((~big_f(elem!1, elem!1)) <=> big_f(tptp_fun_Z_0(elem!1, elem!1), tptp_fun_Z_0(elem!1, elem!1))) | (~big_f(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | (~big_f(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))) <=> ((~![X: $i, Y: $i] : (~(big_f(tptp_fun_Z_0(Y, X), Y) | big_f(tptp_fun_Z_0(Y, X), X) | (~(big_f(Y, X) | big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X)))) | ((~big_f(X, Y)) <=> big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X))) | (~big_f(Y, tptp_fun_Z_0(Y, X))) | (~big_f(X, tptp_fun_Z_0(Y, X)))))) | (~(big_f(tptp_fun_Z_0(elem!1, elem!1), elem!1) | (~(big_f(elem!1, elem!1) | big_f(tptp_fun_Z_0(elem!1, elem!1), tptp_fun_Z_0(elem!1, elem!1)))) | ((~big_f(elem!1, elem!1)) <=> big_f(tptp_fun_Z_0(elem!1, elem!1), tptp_fun_Z_0(elem!1, elem!1))) | (~big_f(elem!1, tptp_fun_Z_0(elem!1, elem!1))))))),
% 0.19/0.42 inference(transitivity,[status(thm)],[33, 31])).
% 0.19/0.42 tff(35,plain,
% 0.19/0.42 ((~![X: $i, Y: $i] : (~(big_f(tptp_fun_Z_0(Y, X), Y) | big_f(tptp_fun_Z_0(Y, X), X) | (~(big_f(Y, X) | big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X)))) | ((~big_f(X, Y)) <=> big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X))) | (~big_f(Y, tptp_fun_Z_0(Y, X))) | (~big_f(X, tptp_fun_Z_0(Y, X)))))) | (~(big_f(tptp_fun_Z_0(elem!1, elem!1), elem!1) | big_f(tptp_fun_Z_0(elem!1, elem!1), elem!1) | (~(big_f(elem!1, elem!1) | big_f(tptp_fun_Z_0(elem!1, elem!1), tptp_fun_Z_0(elem!1, elem!1)))) | ((~big_f(elem!1, elem!1)) <=> big_f(tptp_fun_Z_0(elem!1, elem!1), tptp_fun_Z_0(elem!1, elem!1))) | (~big_f(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | (~big_f(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))),
% 0.19/0.42 inference(quant_inst,[status(thm)],[])).
% 0.19/0.42 tff(36,plain,
% 0.19/0.42 ((~![X: $i, Y: $i] : (~(big_f(tptp_fun_Z_0(Y, X), Y) | big_f(tptp_fun_Z_0(Y, X), X) | (~(big_f(Y, X) | big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X)))) | ((~big_f(X, Y)) <=> big_f(tptp_fun_Z_0(Y, X), tptp_fun_Z_0(Y, X))) | (~big_f(Y, tptp_fun_Z_0(Y, X))) | (~big_f(X, tptp_fun_Z_0(Y, X)))))) | (~(big_f(tptp_fun_Z_0(elem!1, elem!1), elem!1) | (~(big_f(elem!1, elem!1) | big_f(tptp_fun_Z_0(elem!1, elem!1), tptp_fun_Z_0(elem!1, elem!1)))) | ((~big_f(elem!1, elem!1)) <=> big_f(tptp_fun_Z_0(elem!1, elem!1), tptp_fun_Z_0(elem!1, elem!1))) | (~big_f(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.19/0.42 tff(37,plain,
% 0.19/0.42 (~(big_f(tptp_fun_Z_0(elem!1, elem!1), elem!1) | (~(big_f(elem!1, elem!1) | big_f(tptp_fun_Z_0(elem!1, elem!1), tptp_fun_Z_0(elem!1, elem!1)))) | ((~big_f(elem!1, elem!1)) <=> big_f(tptp_fun_Z_0(elem!1, elem!1), tptp_fun_Z_0(elem!1, elem!1))) | (~big_f(elem!1, tptp_fun_Z_0(elem!1, elem!1))))),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[36, 15])).
% 0.19/0.42 tff(38,plain,
% 0.19/0.42 ((big_f(tptp_fun_Z_0(elem!1, elem!1), elem!1) | (~(big_f(elem!1, elem!1) | big_f(tptp_fun_Z_0(elem!1, elem!1), tptp_fun_Z_0(elem!1, elem!1)))) | ((~big_f(elem!1, elem!1)) <=> big_f(tptp_fun_Z_0(elem!1, elem!1), tptp_fun_Z_0(elem!1, elem!1))) | (~big_f(elem!1, tptp_fun_Z_0(elem!1, elem!1)))) | (~big_f(tptp_fun_Z_0(elem!1, elem!1), elem!1))),
% 0.19/0.42 inference(tautology,[status(thm)],[])).
% 0.19/0.42 tff(39,plain,
% 0.19/0.42 (~big_f(tptp_fun_Z_0(elem!1, elem!1), elem!1)),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[38, 37])).
% 0.19/0.42 tff(40,plain,
% 0.19/0.42 (((~big_f(tptp_fun_Z_0(elem!1, elem!1), elem!1)) <=> big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))) | big_f(tptp_fun_Z_0(elem!1, elem!1), elem!1) | (~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))),
% 0.19/0.42 inference(tautology,[status(thm)],[])).
% 0.19/0.42 tff(41,plain,
% 0.19/0.42 (((~big_f(tptp_fun_Z_0(elem!1, elem!1), elem!1)) <=> big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))) | (~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[40, 39])).
% 0.19/0.42 tff(42,plain,
% 0.19/0.42 (~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[41, 30])).
% 0.19/0.42 tff(43,plain,
% 0.19/0.42 ((~(big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))) | big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))),
% 0.19/0.42 inference(tautology,[status(thm)],[])).
% 0.19/0.42 tff(44,plain,
% 0.19/0.42 ((~(big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))) | big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[43, 42])).
% 0.19/0.42 tff(45,plain,
% 0.19/0.42 (big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[44, 26])).
% 0.19/0.42 tff(46,plain,
% 0.19/0.42 (((~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))) <=> big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))) | big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))) | (~big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))),
% 0.19/0.42 inference(tautology,[status(thm)],[])).
% 0.19/0.42 tff(47,plain,
% 0.19/0.42 (((~big_f(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))) <=> big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))))) | (~big_f(tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1))), tptp_fun_Z_0(tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)), tptp_fun_Z_0(elem!1, tptp_fun_Z_0(elem!1, elem!1)))))),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[46, 42])).
% 0.19/0.42 tff(48,plain,
% 0.19/0.42 ($false),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[47, 45, 24])).
% 0.19/0.42 % SZS output end Proof
%------------------------------------------------------------------------------