%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SET045+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 05:24:58 AM UTC 2025
% Result : Theorem 0.19s 0.38s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET045+1 : TPTP v9.0.0. Released v2.0.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 20 04:08:50 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.19/0.38 % SZS status Theorem
% 0.19/0.38 % SZS output start Proof
% 0.19/0.38 tff(element_type, type, (
% 0.19/0.38 element: ( $i * $i ) > $o)).
% 0.19/0.38 tff(tptp_fun_Y_0_type, type, (
% 0.19/0.38 tptp_fun_Y_0: $i > $i)).
% 0.19/0.38 tff(tptp_fun_Z_1_type, type, (
% 0.19/0.38 tptp_fun_Z_1: $i)).
% 0.19/0.38 tff(1,assumption,(((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), Z!1)) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(Z!1))), introduced(assumption)).
% 0.19/0.38 tff(2,plain,
% 0.19/0.38 (^[Z: $i, X: $i] : refl((~(((~element(X, Z)) | element(X, X)) <=> element(X, tptp_fun_Y_0(Z)))) <=> (~(((~element(X, Z)) | element(X, X)) <=> element(X, tptp_fun_Y_0(Z)))))),
% 0.19/0.38 inference(bind,[status(th)],[])).
% 0.19/0.38 tff(3,plain,
% 0.19/0.38 (![Z: $i, X: $i] : (~(((~element(X, Z)) | element(X, X)) <=> element(X, tptp_fun_Y_0(Z)))) <=> ![Z: $i, X: $i] : (~(((~element(X, Z)) | element(X, X)) <=> element(X, tptp_fun_Y_0(Z))))),
% 0.19/0.38 inference(quant_intro,[status(thm)],[2])).
% 0.19/0.38 tff(4,plain,
% 0.19/0.38 (^[Z: $i, X: $i] : trans(trans(monotonicity(rewrite((element(X, Z) & (~element(X, X))) <=> (~((~element(X, Z)) | element(X, X)))), ((element(X, tptp_fun_Y_0(Z)) <=> (element(X, Z) & (~element(X, X)))) <=> (element(X, tptp_fun_Y_0(Z)) <=> (~((~element(X, Z)) | element(X, X)))))), rewrite((element(X, tptp_fun_Y_0(Z)) <=> (~((~element(X, Z)) | element(X, X)))) <=> (~(((~element(X, Z)) | element(X, X)) <=> element(X, tptp_fun_Y_0(Z))))), ((element(X, tptp_fun_Y_0(Z)) <=> (element(X, Z) & (~element(X, X)))) <=> (~(((~element(X, Z)) | element(X, X)) <=> element(X, tptp_fun_Y_0(Z)))))), rewrite((~(((~element(X, Z)) | element(X, X)) <=> element(X, tptp_fun_Y_0(Z)))) <=> (~(((~element(X, Z)) | element(X, X)) <=> element(X, tptp_fun_Y_0(Z))))), ((element(X, tptp_fun_Y_0(Z)) <=> (element(X, Z) & (~element(X, X)))) <=> (~(((~element(X, Z)) | element(X, X)) <=> element(X, tptp_fun_Y_0(Z))))))),
% 0.19/0.38 inference(bind,[status(th)],[])).
% 0.19/0.38 tff(5,plain,
% 0.19/0.38 (![Z: $i, X: $i] : (element(X, tptp_fun_Y_0(Z)) <=> (element(X, Z) & (~element(X, X)))) <=> ![Z: $i, X: $i] : (~(((~element(X, Z)) | element(X, X)) <=> element(X, tptp_fun_Y_0(Z))))),
% 0.19/0.38 inference(quant_intro,[status(thm)],[4])).
% 0.19/0.38 tff(6,plain,
% 0.19/0.38 (![Z: $i] : ![X: $i] : (element(X, tptp_fun_Y_0(Z)) <=> (element(X, Z) & (~element(X, X)))) <=> ![Z: $i, X: $i] : (element(X, tptp_fun_Y_0(Z)) <=> (element(X, Z) & (~element(X, X))))),
% 0.19/0.38 inference(pull_quant,[status(thm)],[])).
% 0.19/0.38 tff(7,plain,
% 0.19/0.38 (![Z: $i] : ?[Y: $i] : ![X: $i] : (element(X, Y) <=> (element(X, Z) & (~element(X, X)))) <=> ![Z: $i] : ?[Y: $i] : ![X: $i] : (element(X, Y) <=> (element(X, Z) & (~element(X, X))))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(8,axiom,(![Z: $i] : ?[Y: $i] : ![X: $i] : (element(X, Y) <=> (element(X, Z) & (~element(X, X))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pel41_1')).
% 0.19/0.38 tff(9,plain,
% 0.19/0.38 (![Z: $i] : ?[Y: $i] : ![X: $i] : (element(X, Y) <=> (element(X, Z) & (~element(X, X))))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[8, 7])).
% 0.19/0.38 tff(10,plain,(
% 0.19/0.38 ![Z: $i] : ![X: $i] : (element(X, tptp_fun_Y_0(Z)) <=> (element(X, Z) & (~element(X, X))))),
% 0.19/0.38 inference(skolemize,[status(sab)],[9])).
% 0.19/0.38 tff(11,plain,
% 0.19/0.38 (![Z: $i, X: $i] : (element(X, tptp_fun_Y_0(Z)) <=> (element(X, Z) & (~element(X, X))))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[10, 6])).
% 0.19/0.38 tff(12,plain,
% 0.19/0.38 (![Z: $i, X: $i] : (~(((~element(X, Z)) | element(X, X)) <=> element(X, tptp_fun_Y_0(Z))))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[11, 5])).
% 0.19/0.38 tff(13,plain,
% 0.19/0.38 (![Z: $i, X: $i] : (~(((~element(X, Z)) | element(X, X)) <=> element(X, tptp_fun_Y_0(Z))))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[12, 3])).
% 0.19/0.38 tff(14,plain,
% 0.19/0.38 ((~![Z: $i, X: $i] : (~(((~element(X, Z)) | element(X, X)) <=> element(X, tptp_fun_Y_0(Z))))) | (~(((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), Z!1)) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(Z!1))))),
% 0.19/0.38 inference(quant_inst,[status(thm)],[])).
% 0.19/0.38 tff(15,plain,
% 0.19/0.38 ($false),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[14, 13, 1])).
% 0.19/0.38 tff(16,plain,(~(((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), Z!1)) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(Z!1)))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.38 tff(17,assumption,(~((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))))), introduced(assumption)).
% 0.19/0.38 tff(18,plain,
% 0.19/0.38 (((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) | (~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))))),
% 0.19/0.38 inference(tautology,[status(thm)],[])).
% 0.19/0.38 tff(19,plain,
% 0.19/0.38 (~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[18, 17])).
% 0.19/0.38 tff(20,assumption,(((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))), introduced(assumption)).
% 0.19/0.38 tff(21,plain,
% 0.19/0.38 ((~![Z: $i, X: $i] : (~(((~element(X, Z)) | element(X, X)) <=> element(X, tptp_fun_Y_0(Z))))) | (~(((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))))),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(22,plain,
% 0.19/0.39 ($false),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[21, 13, 20])).
% 0.19/0.39 tff(23,plain,(~(((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.39 tff(24,plain,
% 0.19/0.39 ((((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))) | ((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(25,plain,
% 0.19/0.39 (((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[24, 23])).
% 0.19/0.39 tff(26,plain,
% 0.19/0.39 (element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[25, 17])).
% 0.19/0.39 tff(27,assumption,(((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))), introduced(assumption)).
% 0.19/0.39 tff(28,plain,
% 0.19/0.39 ((~![Z: $i, X: $i] : (~(((~element(X, Z)) | element(X, X)) <=> element(X, tptp_fun_Y_0(Z))))) | (~(((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))))),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(29,plain,
% 0.19/0.39 ($false),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[28, 13, 27])).
% 0.19/0.39 tff(30,plain,(~(((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.39 tff(31,plain,
% 0.19/0.39 ((((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) | ((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(32,plain,
% 0.19/0.39 (((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[31, 30])).
% 0.19/0.39 tff(33,plain,
% 0.19/0.39 ((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[32, 19])).
% 0.19/0.39 tff(34,plain,
% 0.19/0.39 ((~((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))))) | (~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(35,plain,
% 0.19/0.39 ($false),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[34, 33, 26, 19])).
% 0.19/0.39 tff(36,plain,((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.39 tff(37,plain,
% 0.19/0.39 ((((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))) | (~((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))))) | (~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(38,plain,
% 0.19/0.39 ((~((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))))) | (~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[37, 23])).
% 0.19/0.39 tff(39,plain,
% 0.19/0.39 (~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[38, 36])).
% 0.19/0.39 tff(40,plain,
% 0.19/0.39 (((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(41,plain,
% 0.19/0.39 ((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[40, 39])).
% 0.19/0.39 tff(42,plain,
% 0.19/0.39 ((((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) | (~((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))))) | (~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))))),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(43,plain,
% 0.19/0.39 ((~((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))))) | (~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[42, 30])).
% 0.19/0.39 tff(44,plain,
% 0.19/0.39 (~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[43, 41])).
% 0.19/0.39 tff(45,plain,
% 0.19/0.39 (^[X: $i] : refl(element(X, Z!1) <=> element(X, Z!1))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(46,plain,
% 0.19/0.39 (![X: $i] : element(X, Z!1) <=> ![X: $i] : element(X, Z!1)),
% 0.19/0.39 inference(quant_intro,[status(thm)],[45])).
% 0.19/0.39 tff(47,plain,
% 0.19/0.39 (?[Z: $i] : ![X: $i] : element(X, Z) <=> ?[Z: $i] : ![X: $i] : element(X, Z)),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(48,plain,
% 0.19/0.39 ((~(~?[Z: $i] : ![X: $i] : element(X, Z))) <=> ?[Z: $i] : ![X: $i] : element(X, Z)),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(49,plain,
% 0.19/0.39 ((~?[Z: $i] : ![X: $i] : element(X, Z)) <=> (~?[Z: $i] : ![X: $i] : element(X, Z))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(50,plain,
% 0.19/0.39 ((~(~?[Z: $i] : ![X: $i] : element(X, Z))) <=> (~(~?[Z: $i] : ![X: $i] : element(X, Z)))),
% 0.19/0.39 inference(monotonicity,[status(thm)],[49])).
% 0.19/0.39 tff(51,plain,
% 0.19/0.39 ((~(~?[Z: $i] : ![X: $i] : element(X, Z))) <=> ?[Z: $i] : ![X: $i] : element(X, Z)),
% 0.19/0.39 inference(transitivity,[status(thm)],[50, 48])).
% 0.19/0.39 tff(52,axiom,(~(~?[Z: $i] : ![X: $i] : element(X, Z))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pel41')).
% 0.19/0.39 tff(53,plain,
% 0.19/0.39 (?[Z: $i] : ![X: $i] : element(X, Z)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.19/0.39 tff(54,plain,
% 0.19/0.39 (?[Z: $i] : ![X: $i] : element(X, Z)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[53, 47])).
% 0.19/0.39 tff(55,plain,(
% 0.19/0.39 $oeq(![X: $i] : element(X, Z!1), ![X: $i] : element(X, Z!1))),
% 0.19/0.39 inference(transitivity,[status(sab)],[54])).
% 0.19/0.39 tff(56,plain,
% 0.19/0.39 (![X: $i] : element(X, Z!1)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[55, 46])).
% 0.19/0.39 tff(57,plain,
% 0.19/0.39 ((~![X: $i] : element(X, Z!1)) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), Z!1)),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(58,plain,
% 0.19/0.39 (element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), Z!1)),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[57, 56])).
% 0.19/0.39 tff(59,plain,
% 0.19/0.39 ((~((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), Z!1)) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))))) | (~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), Z!1)) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(60,plain,
% 0.19/0.39 (~((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), Z!1)) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[59, 58, 44])).
% 0.19/0.39 tff(61,assumption,(((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(Z!1))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))), introduced(assumption)).
% 0.19/0.39 tff(62,plain,
% 0.19/0.39 ((~![Z: $i, X: $i] : (~(((~element(X, Z)) | element(X, X)) <=> element(X, tptp_fun_Y_0(Z))))) | (~(((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(Z!1))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(63,plain,
% 0.19/0.39 ($false),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[62, 13, 61])).
% 0.19/0.39 tff(64,plain,(~(((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(Z!1))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.39 tff(65,assumption,(((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))), introduced(assumption)).
% 0.19/0.39 tff(66,plain,
% 0.19/0.39 ((~![Z: $i, X: $i] : (~(((~element(X, Z)) | element(X, X)) <=> element(X, tptp_fun_Y_0(Z))))) | (~(((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(67,plain,
% 0.19/0.39 ($false),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[66, 13, 65])).
% 0.19/0.39 tff(68,plain,(~(((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.39 tff(69,assumption,(((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))), introduced(assumption)).
% 0.19/0.39 tff(70,plain,
% 0.19/0.39 ((~![Z: $i, X: $i] : (~(((~element(X, Z)) | element(X, X)) <=> element(X, tptp_fun_Y_0(Z))))) | (~(((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(71,plain,
% 0.19/0.39 ($false),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[70, 13, 69])).
% 0.19/0.39 tff(72,plain,(~(((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.39 tff(73,assumption,(((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))), introduced(assumption)).
% 0.19/0.39 tff(74,plain,
% 0.19/0.39 ((~![Z: $i, X: $i] : (~(((~element(X, Z)) | element(X, X)) <=> element(X, tptp_fun_Y_0(Z))))) | (~(((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(75,plain,
% 0.19/0.39 ($false),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[74, 13, 73])).
% 0.19/0.39 tff(76,plain,(~(((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.40 tff(77,assumption,(((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), introduced(assumption)).
% 0.19/0.40 tff(78,plain,
% 0.19/0.40 ((~![Z: $i, X: $i] : (~(((~element(X, Z)) | element(X, X)) <=> element(X, tptp_fun_Y_0(Z))))) | (~(((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(79,plain,
% 0.19/0.40 ($false),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[78, 13, 77])).
% 0.19/0.40 tff(80,plain,(~(((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.40 tff(81,plain,
% 0.19/0.40 ((~((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))))) | (~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(82,plain,
% 0.19/0.40 (~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[81, 44, 36])).
% 0.19/0.40 tff(83,plain,
% 0.19/0.40 ((((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))) | ((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(84,plain,
% 0.19/0.40 ((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[83, 82, 80])).
% 0.19/0.40 tff(85,plain,
% 0.19/0.40 ((~((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))))) | (~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(86,plain,
% 0.19/0.40 (~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[85, 84, 44])).
% 0.19/0.40 tff(87,plain,
% 0.19/0.40 ((((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))) | ((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(88,plain,
% 0.19/0.40 ((((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))) | ((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[87, 86])).
% 0.19/0.40 tff(89,plain,
% 0.19/0.40 ((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[88, 76])).
% 0.19/0.40 tff(90,plain,
% 0.19/0.40 ((~((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))))) | (~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(91,plain,
% 0.19/0.40 ((~((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))))) | (~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[90, 44])).
% 0.19/0.40 tff(92,plain,
% 0.19/0.40 (~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[91, 89])).
% 0.19/0.40 tff(93,plain,
% 0.19/0.40 ((((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))) | ((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(94,plain,
% 0.19/0.40 ((((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))) | ((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[93, 92])).
% 0.19/0.40 tff(95,plain,
% 0.19/0.40 ((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[94, 72])).
% 0.19/0.40 tff(96,plain,
% 0.19/0.40 ((~((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))))) | (~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(97,plain,
% 0.19/0.40 ((~((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))))) | (~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[96, 44])).
% 0.19/0.40 tff(98,plain,
% 0.19/0.40 (~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[97, 95])).
% 0.19/0.40 tff(99,plain,
% 0.19/0.40 ((((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))) | ((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(100,plain,
% 0.19/0.40 ((((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))) | ((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[99, 98])).
% 0.19/0.40 tff(101,plain,
% 0.19/0.40 ((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[100, 68])).
% 0.19/0.40 tff(102,plain,
% 0.19/0.40 ((~((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))))) | (~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(103,plain,
% 0.19/0.40 ((~((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))))) | (~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[102, 44])).
% 0.19/0.40 tff(104,plain,
% 0.19/0.40 (~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[103, 101])).
% 0.19/0.40 tff(105,plain,
% 0.19/0.40 ((((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(Z!1))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))) | ((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(Z!1))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(106,plain,
% 0.19/0.40 ((((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(Z!1))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))) | ((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(Z!1))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[105, 104])).
% 0.19/0.40 tff(107,plain,
% 0.19/0.40 ((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(Z!1))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[106, 64])).
% 0.19/0.40 tff(108,plain,
% 0.19/0.40 ((~((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(Z!1))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))))) | (~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(Z!1))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(109,plain,
% 0.19/0.41 ((~((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(Z!1))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1))))))))))) | (~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(Z!1)))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[108, 44])).
% 0.19/0.41 tff(110,plain,
% 0.19/0.41 (~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(Z!1))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[109, 107])).
% 0.19/0.41 tff(111,plain,
% 0.19/0.41 ((((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), Z!1)) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(Z!1))) | ((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), Z!1)) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(Z!1))),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(112,plain,
% 0.19/0.41 (((~element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), Z!1)) | element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))))) <=> element(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(Z!1)))))))), tptp_fun_Y_0(Z!1))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[111, 110, 60])).
% 0.19/0.41 tff(113,plain,
% 0.19/0.41 ($false),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[112, 16])).
% 0.19/0.41 % SZS output end Proof
% 0.19/0.41 % E exiting
%------------------------------------------------------------------------------