%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN331+1 : TPTP v9.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n005.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 : Sat Jun 21 05:38:47 AM UTC 2025
% Result : Theorem 0.11s 0.36s
% Output : Proof 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN331+1 : TPTP v9.0.0. Released v2.0.0.
% 0.10/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n005.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Jun 20 12:30:50 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.36 % SZS status Theorem
% 0.11/0.36 % SZS output start Proof
% 0.11/0.36 tff(big_f_type, type, (
% 0.11/0.36 big_f: ( $i * $i ) > $o)).
% 0.11/0.36 tff(tptp_fun_Z_0_type, type, (
% 0.11/0.36 tptp_fun_Z_0: ( $i * $i ) > $i)).
% 0.11/0.36 tff(elem_1_type, type, (
% 0.11/0.36 elem_1: $i)).
% 0.11/0.36 tff(1,plain,
% 0.11/0.36 (^[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))))))),
% 0.11/0.36 inference(bind,[status(th)],[])).
% 0.11/0.36 tff(2,plain,
% 0.11/0.36 (![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)))))),
% 0.11/0.36 inference(quant_intro,[status(thm)],[1])).
% 0.11/0.36 tff(3,plain,
% 0.11/0.36 ((~?[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))))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(4,plain,
% 0.11/0.36 ((~?[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))))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 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/sandbox/benchmark/theBenchmark.p','church_46_14_3')).
% 0.11/0.36 tff(6,plain,
% 0.11/0.36 (~?[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)))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.11/0.36 tff(7,plain,
% 0.11/0.36 (~?[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)))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[6, 3])).
% 0.11/0.36 tff(8,plain,
% 0.11/0.36 (~?[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)))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.11/0.36 tff(9,plain,
% 0.11/0.36 (~?[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)))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[8, 3])).
% 0.11/0.36 tff(10,plain,
% 0.11/0.36 (^[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)))))))),
% 0.11/0.36 inference(bind,[status(th)],[])).
% 0.11/0.36 tff(11,plain,(
% 0.11/0.36 ![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)))))),
% 0.11/0.36 inference(nnf-neg,[status(sab)],[9, 10])).
% 0.11/0.36 tff(12,plain,
% 0.11/0.36 (![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)))))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[11, 2])).
% 0.11/0.36 tff(13,plain,
% 0.11/0.36 (((~![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))))))))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(14,plain,
% 0.11/0.36 ((~(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)))))))),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(15,plain,
% 0.11/0.37 (((~![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))))))))),
% 0.11/0.37 inference(monotonicity,[status(thm)],[14])).
% 0.11/0.37 tff(16,plain,
% 0.11/0.37 (((~![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))))))))),
% 0.11/0.37 inference(transitivity,[status(thm)],[15, 13])).
% 0.11/0.37 tff(17,plain,
% 0.11/0.37 ((~![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)))))))),
% 0.11/0.37 inference(quant_inst,[status(thm)],[])).
% 0.11/0.37 tff(18,plain,
% 0.11/0.37 ((~![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)))))))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[17, 16])).
% 0.11/0.37 tff(19,plain,
% 0.11/0.37 (~(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))))))),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[18, 12])).
% 0.11/0.38 tff(20,plain,
% 0.11/0.38 ((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)))))),
% 0.11/0.38 inference(tautology,[status(thm)],[])).
% 0.11/0.38 tff(21,plain,
% 0.11/0.38 (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))))),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[20, 19])).
% 0.11/0.38 tff(22,plain,
% 0.11/0.38 ((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)))))),
% 0.11/0.38 inference(tautology,[status(thm)],[])).
% 0.11/0.38 tff(23,plain,
% 0.11/0.38 (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))))),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[22, 19])).
% 0.11/0.38 tff(24,plain,
% 0.11/0.38 ((~![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))))))),
% 0.11/0.38 inference(quant_inst,[status(thm)],[])).
% 0.11/0.38 tff(25,plain,
% 0.11/0.38 (~(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)))))),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[24, 12])).
% 0.11/0.38 tff(26,plain,
% 0.11/0.38 ((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))))),
% 0.11/0.38 inference(tautology,[status(thm)],[])).
% 0.11/0.38 tff(27,plain,
% 0.11/0.38 (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)))),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[26, 25])).
% 0.11/0.38 tff(28,plain,
% 0.11/0.38 (((~![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))))))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(29,plain,
% 0.11/0.38 ((~(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)))))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(30,plain,
% 0.11/0.38 (((~![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))))))),
% 0.11/0.38 inference(monotonicity,[status(thm)],[29])).
% 0.11/0.38 tff(31,plain,
% 0.11/0.38 (((~![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))))))),
% 0.11/0.38 inference(transitivity,[status(thm)],[30, 28])).
% 0.11/0.38 tff(32,plain,
% 0.11/0.38 ((~![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)))))),
% 0.11/0.39 inference(quant_inst,[status(thm)],[])).
% 0.11/0.39 tff(33,plain,
% 0.11/0.39 ((~![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(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)))))),
% 0.11/0.39 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.11/0.39 tff(34,plain,
% 0.11/0.39 (~(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))))),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[33, 12])).
% 0.11/0.39 tff(35,plain,
% 0.11/0.39 ((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))),
% 0.11/0.39 inference(tautology,[status(thm)],[])).
% 0.11/0.39 tff(36,plain,
% 0.11/0.39 (~big_f(tptp_fun_Z_0(elem!1, elem!1), elem!1)),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[35, 34])).
% 0.11/0.39 tff(37,plain,
% 0.11/0.39 ((~(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))))),
% 0.11/0.39 inference(tautology,[status(thm)],[])).
% 0.11/0.39 tff(38,plain,
% 0.11/0.39 ((~(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))))),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[37, 36])).
% 0.11/0.39 tff(39,plain,
% 0.11/0.39 (~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)))),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[38, 27])).
% 0.11/0.39 tff(40,plain,
% 0.11/0.39 ((~(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))))),
% 0.11/0.39 inference(tautology,[status(thm)],[])).
% 0.11/0.39 tff(41,plain,
% 0.11/0.39 ((~(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))))),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[40, 39])).
% 0.11/0.39 tff(42,plain,
% 0.11/0.39 (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))))),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[41, 23])).
% 0.11/0.39 tff(43,plain,
% 0.11/0.39 ((~(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)))))),
% 0.11/0.39 inference(tautology,[status(thm)],[])).
% 0.11/0.39 tff(44,plain,
% 0.11/0.39 ((~(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)))))),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[43, 39])).
% 0.11/0.39 tff(45,plain,
% 0.11/0.39 ($false),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[44, 42, 21])).
% 0.11/0.39 % SZS output end Proof
% 0.11/0.39 % E exiting
%------------------------------------------------------------------------------