%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : LCL901+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 03:01:09 PM UTC 2026
% Result : Theorem 264.90s 265.22s
% Output : Proof 265.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL901+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.07/0.35 % Computer : n008.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 5 10:24:09 UTC 2026
% 0.07/0.35 % CPUTime :
% 264.90/265.22 % SZS status Theorem
% 264.90/265.22 % SZS output start Proof
% 264.90/265.22 tff(tptp_fun__0__type, type, (
% 264.90/265.22 tptp_fun__0_: $i)).
% 264.90/265.22 tff(tptp_fun_______type, type, (
% 264.90/265.22 tptp_fun______: ( $i * $i ) > $i)).
% 264.90/265.22 tff(tptp_fun_X17_0_type, type, (
% 264.90/265.22 tptp_fun_X17_0: $i)).
% 264.90/265.22 tff(tptp_fun__1__type, type, (
% 264.90/265.22 tptp_fun__1_: $i)).
% 264.90/265.22 tff(tptp_fun______type, type, (
% 264.90/265.22 tptp_fun_____: ( $i * $i ) > $o)).
% 264.90/265.22 tff(tptp_fun_____type, type, (
% 264.90/265.22 tptp_fun____: ( $i * $i ) > $i)).
% 264.90/265.22 tff(1,plain,
% 264.90/265.22 (^[A: $i, B: $i] : refl((tptp_fun______(tptp_fun______(A, B), B) = tptp_fun______(tptp_fun______(B, A), A)) <=> (tptp_fun______(tptp_fun______(A, B), B) = tptp_fun______(tptp_fun______(B, A), A)))),
% 264.90/265.22 inference(bind,[status(th)],[])).
% 264.90/265.22 tff(2,plain,
% 264.90/265.22 (![A: $i, B: $i] : (tptp_fun______(tptp_fun______(A, B), B) = tptp_fun______(tptp_fun______(B, A), A)) <=> ![A: $i, B: $i] : (tptp_fun______(tptp_fun______(A, B), B) = tptp_fun______(tptp_fun______(B, A), A))),
% 264.90/265.22 inference(quant_intro,[status(thm)],[1])).
% 264.90/265.22 tff(3,plain,
% 264.90/265.22 (![A: $i, B: $i] : (tptp_fun______(tptp_fun______(A, B), B) = tptp_fun______(tptp_fun______(B, A), A)) <=> ![A: $i, B: $i] : (tptp_fun______(tptp_fun______(A, B), B) = tptp_fun______(tptp_fun______(B, A), A))),
% 264.90/265.22 inference(rewrite,[status(thm)],[])).
% 264.90/265.22 tff(4,axiom,(![A: $i, B: $i] : (tptp_fun______(tptp_fun______(A, B), B) = tptp_fun______(tptp_fun______(B, A), A))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_13')).
% 264.90/265.22 tff(5,plain,
% 264.90/265.22 (![A: $i, B: $i] : (tptp_fun______(tptp_fun______(A, B), B) = tptp_fun______(tptp_fun______(B, A), A))),
% 264.90/265.22 inference(modus_ponens,[status(thm)],[4, 3])).
% 264.90/265.22 tff(6,plain,(
% 264.90/265.22 ![A: $i, B: $i] : (tptp_fun______(tptp_fun______(A, B), B) = tptp_fun______(tptp_fun______(B, A), A))),
% 264.90/265.22 inference(skolemize,[status(sab)],[5])).
% 264.90/265.22 tff(7,plain,
% 264.90/265.22 (![A: $i, B: $i] : (tptp_fun______(tptp_fun______(A, B), B) = tptp_fun______(tptp_fun______(B, A), A))),
% 264.90/265.22 inference(modus_ponens,[status(thm)],[6, 2])).
% 264.90/265.22 tff(8,plain,
% 264.90/265.22 ((~![A: $i, B: $i] : (tptp_fun______(tptp_fun______(A, B), B) = tptp_fun______(tptp_fun______(B, A), A))) | (tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))),
% 264.90/265.22 inference(quant_inst,[status(thm)],[])).
% 264.90/265.22 tff(9,plain,
% 264.90/265.22 (tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))),
% 264.90/265.22 inference(unit_resolution,[status(thm)],[8, 7])).
% 264.90/265.22 tff(10,plain,
% 264.90/265.22 (tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0)),
% 264.90/265.22 inference(symmetry,[status(thm)],[9])).
% 264.90/265.22 tff(11,plain,
% 264.90/265.22 (tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))) <=> tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0))),
% 264.90/265.22 inference(monotonicity,[status(thm)],[10])).
% 264.90/265.22 tff(12,plain,
% 264.90/265.22 (tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0)) <=> tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))),
% 264.90/265.22 inference(symmetry,[status(thm)],[11])).
% 264.90/265.22 tff(13,plain,
% 264.90/265.22 (^[X5: $i, X6: $i, X7: $i] : refl((tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7))) <=> (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7))))),
% 264.90/265.22 inference(bind,[status(th)],[])).
% 264.90/265.22 tff(14,plain,
% 264.90/265.22 (![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7))) <=> ![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7)))),
% 264.90/265.22 inference(quant_intro,[status(thm)],[13])).
% 264.90/265.22 tff(15,plain,
% 264.90/265.22 (![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7))) <=> ![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7)))),
% 264.90/265.22 inference(rewrite,[status(thm)],[])).
% 264.90/265.22 tff(16,axiom,(![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_07')).
% 264.90/265.22 tff(17,plain,
% 264.90/265.22 (![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7)))),
% 264.90/265.22 inference(modus_ponens,[status(thm)],[16, 15])).
% 264.90/265.22 tff(18,plain,(
% 264.90/265.22 ![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7)))),
% 264.90/265.22 inference(skolemize,[status(sab)],[17])).
% 264.90/265.22 tff(19,plain,
% 264.90/265.22 (![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7)))),
% 264.90/265.22 inference(modus_ponens,[status(thm)],[18, 14])).
% 264.90/265.22 tff(20,plain,
% 264.90/265.22 ((~![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7)))) | (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), X17!0) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0)))),
% 264.90/265.22 inference(quant_inst,[status(thm)],[])).
% 264.90/265.22 tff(21,plain,
% 264.90/265.22 (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), X17!0) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0))),
% 264.90/265.22 inference(unit_resolution,[status(thm)],[20, 19])).
% 264.90/265.22 tff(22,plain,
% 264.90/265.22 (tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0)) <=> tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0))),
% 264.90/265.22 inference(monotonicity,[status(thm)],[10])).
% 264.90/265.22 tff(23,plain,
% 264.90/265.22 (tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0)) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0))),
% 264.90/265.22 inference(symmetry,[status(thm)],[22])).
% 264.90/265.22 tff(24,assumption,(~tptp_fun_____(X17!0, X17!0)), introduced(assumption)).
% 264.90/265.22 tff(25,plain,
% 264.90/265.22 (^[A: $i] : refl(tptp_fun_____(A, A) <=> tptp_fun_____(A, A))),
% 264.90/265.22 inference(bind,[status(th)],[])).
% 264.90/265.22 tff(26,plain,
% 264.90/265.22 (![A: $i] : tptp_fun_____(A, A) <=> ![A: $i] : tptp_fun_____(A, A)),
% 264.90/265.22 inference(quant_intro,[status(thm)],[25])).
% 264.90/265.22 tff(27,plain,
% 264.90/265.22 (![A: $i] : tptp_fun_____(A, A) <=> ![A: $i] : tptp_fun_____(A, A)),
% 264.90/265.22 inference(rewrite,[status(thm)],[])).
% 264.90/265.22 tff(28,axiom,(![A: $i] : tptp_fun_____(A, A)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_04')).
% 264.90/265.22 tff(29,plain,
% 264.90/265.22 (![A: $i] : tptp_fun_____(A, A)),
% 264.90/265.22 inference(modus_ponens,[status(thm)],[28, 27])).
% 264.90/265.22 tff(30,plain,(
% 264.90/265.22 ![A: $i] : tptp_fun_____(A, A)),
% 264.90/265.22 inference(skolemize,[status(sab)],[29])).
% 264.90/265.22 tff(31,plain,
% 264.90/265.22 (![A: $i] : tptp_fun_____(A, A)),
% 264.90/265.22 inference(modus_ponens,[status(thm)],[30, 26])).
% 264.90/265.22 tff(32,plain,
% 264.90/265.22 ((~![A: $i] : tptp_fun_____(A, A)) | tptp_fun_____(X17!0, X17!0)),
% 264.90/265.22 inference(quant_inst,[status(thm)],[])).
% 264.90/265.22 tff(33,plain,
% 264.90/265.22 ($false),
% 264.90/265.22 inference(unit_resolution,[status(thm)],[32, 31, 24])).
% 264.90/265.22 tff(34,plain,(tptp_fun_____(X17!0, X17!0)), inference(lemma,lemma(discharge,[]))).
% 264.90/265.22 tff(35,plain,
% 264.90/265.22 (^[X14: $i, X15: $i, X16: $i] : refl(((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15))) <=> ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15))))),
% 264.90/265.22 inference(bind,[status(th)],[])).
% 264.90/265.22 tff(36,plain,
% 264.90/265.22 (![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15))) <=> ![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))),
% 264.90/265.22 inference(quant_intro,[status(thm)],[35])).
% 264.90/265.22 tff(37,plain,
% 264.90/265.22 (![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15))) <=> ![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))),
% 264.90/265.22 inference(rewrite,[status(thm)],[])).
% 264.90/265.22 tff(38,plain,
% 264.90/265.22 (^[X14: $i, X15: $i, X16: $i] : rewrite((tptp_fun_____(X14, X15) => tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15))) <=> ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15))))),
% 264.90/265.22 inference(bind,[status(th)],[])).
% 264.90/265.22 tff(39,plain,
% 264.90/265.22 (![X14: $i, X15: $i, X16: $i] : (tptp_fun_____(X14, X15) => tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15))) <=> ![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))),
% 264.90/265.22 inference(quant_intro,[status(thm)],[38])).
% 264.90/265.22 tff(40,axiom,(![X14: $i, X15: $i, X16: $i] : (tptp_fun_____(X14, X15) => tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_11')).
% 264.90/265.22 tff(41,plain,
% 264.90/265.22 (![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))),
% 264.90/265.22 inference(modus_ponens,[status(thm)],[40, 39])).
% 264.90/265.22 tff(42,plain,
% 264.90/265.22 (![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))),
% 264.90/265.22 inference(modus_ponens,[status(thm)],[41, 37])).
% 264.90/265.22 tff(43,plain,(
% 264.90/265.22 ![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))),
% 264.90/265.22 inference(skolemize,[status(sab)],[42])).
% 264.90/265.22 tff(44,plain,
% 264.90/265.22 (![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))),
% 264.90/265.22 inference(modus_ponens,[status(thm)],[43, 36])).
% 264.90/265.22 tff(45,plain,
% 264.90/265.22 (((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | ((~tptp_fun_____(X17!0, X17!0)) | tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0)))) <=> ((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | (~tptp_fun_____(X17!0, X17!0)) | tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0)))),
% 264.90/265.22 inference(rewrite,[status(thm)],[])).
% 264.90/265.22 tff(46,plain,
% 264.90/265.22 ((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | ((~tptp_fun_____(X17!0, X17!0)) | tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0)))),
% 264.90/265.22 inference(quant_inst,[status(thm)],[])).
% 264.90/265.22 tff(47,plain,
% 264.90/265.22 ((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | (~tptp_fun_____(X17!0, X17!0)) | tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0))),
% 264.90/265.22 inference(modus_ponens,[status(thm)],[46, 45])).
% 264.90/265.22 tff(48,plain,
% 264.90/265.22 ((~tptp_fun_____(X17!0, X17!0)) | tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0))),
% 264.90/265.22 inference(unit_resolution,[status(thm)],[47, 44])).
% 264.90/265.22 tff(49,plain,
% 264.90/265.22 (tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0))),
% 264.90/265.22 inference(unit_resolution,[status(thm)],[48, 34])).
% 264.90/265.22 tff(50,plain,
% 264.90/265.22 (tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0))),
% 264.90/265.22 inference(modus_ponens,[status(thm)],[49, 23])).
% 264.90/265.22 tff(51,plain,
% 264.90/265.22 ((~(tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), X17!0) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0)))) | tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), X17!0) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0)))),
% 264.90/265.22 inference(tautology,[status(thm)],[])).
% 264.90/265.22 tff(52,plain,
% 264.90/265.22 (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), X17!0)),
% 264.90/265.22 inference(unit_resolution,[status(thm)],[51, 50, 21])).
% 264.90/265.22 tff(53,plain,
% 264.90/265.22 (((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | ((~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), X17!0)) | tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0)))) <=> ((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), X17!0)) | tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0)))),
% 264.90/265.22 inference(rewrite,[status(thm)],[])).
% 264.90/265.22 tff(54,plain,
% 264.90/265.22 ((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | ((~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), X17!0)) | tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0)))),
% 264.90/265.23 inference(quant_inst,[status(thm)],[])).
% 264.90/265.23 tff(55,plain,
% 264.90/265.23 ((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), X17!0)) | tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0))),
% 264.90/265.23 inference(modus_ponens,[status(thm)],[54, 53])).
% 264.90/265.23 tff(56,plain,
% 264.90/265.23 (tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0))),
% 264.90/265.23 inference(unit_resolution,[status(thm)],[55, 44, 52])).
% 264.90/265.23 tff(57,plain,
% 264.90/265.23 (tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))),
% 264.90/265.23 inference(modus_ponens,[status(thm)],[56, 12])).
% 264.90/265.23 tff(58,plain,
% 264.90/265.23 ((~![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7)))) | (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))))),
% 264.90/265.23 inference(quant_inst,[status(thm)],[])).
% 264.90/265.23 tff(59,plain,
% 264.90/265.23 (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))),
% 264.90/265.23 inference(unit_resolution,[status(thm)],[58, 19])).
% 264.90/265.23 tff(60,plain,
% 264.90/265.23 (((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | ((~tptp_fun_____(X17!0, X17!0)) | tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) <=> ((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | (~tptp_fun_____(X17!0, X17!0)) | tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))),
% 264.90/265.23 inference(rewrite,[status(thm)],[])).
% 264.90/265.23 tff(61,plain,
% 264.90/265.23 ((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | ((~tptp_fun_____(X17!0, X17!0)) | tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))),
% 264.90/265.23 inference(quant_inst,[status(thm)],[])).
% 264.90/265.23 tff(62,plain,
% 264.90/265.23 ((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | (~tptp_fun_____(X17!0, X17!0)) | tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))),
% 264.90/265.23 inference(modus_ponens,[status(thm)],[61, 60])).
% 264.90/265.23 tff(63,plain,
% 264.90/265.23 ((~tptp_fun_____(X17!0, X17!0)) | tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))),
% 264.90/265.23 inference(unit_resolution,[status(thm)],[62, 44])).
% 264.90/265.23 tff(64,plain,
% 264.90/265.23 (tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))),
% 264.90/265.23 inference(unit_resolution,[status(thm)],[63, 34])).
% 264.90/265.23 tff(65,plain,
% 264.90/265.23 (^[X8: $i, X9: $i, X10: $i] : refl(((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10))) <=> ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10))))),
% 264.90/265.23 inference(bind,[status(th)],[])).
% 264.90/265.23 tff(66,plain,
% 264.90/265.23 (![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10))) <=> ![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))),
% 264.90/265.23 inference(quant_intro,[status(thm)],[65])).
% 264.90/265.23 tff(67,plain,
% 264.90/265.23 (![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10))) <=> ![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))),
% 264.90/265.23 inference(rewrite,[status(thm)],[])).
% 264.90/265.23 tff(68,plain,
% 264.90/265.23 (^[X8: $i, X9: $i, X10: $i] : rewrite((tptp_fun_____(X8, X9) => tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10))) <=> ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10))))),
% 264.90/265.23 inference(bind,[status(th)],[])).
% 264.90/265.23 tff(69,plain,
% 264.90/265.23 (![X8: $i, X9: $i, X10: $i] : (tptp_fun_____(X8, X9) => tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10))) <=> ![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))),
% 264.90/265.23 inference(quant_intro,[status(thm)],[68])).
% 264.90/265.23 tff(70,axiom,(![X8: $i, X9: $i, X10: $i] : (tptp_fun_____(X8, X9) => tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_09')).
% 264.90/265.23 tff(71,plain,
% 264.90/265.23 (![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))),
% 264.90/265.23 inference(modus_ponens,[status(thm)],[70, 69])).
% 264.90/265.23 tff(72,plain,
% 264.90/265.23 (![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))),
% 264.90/265.23 inference(modus_ponens,[status(thm)],[71, 67])).
% 264.90/265.23 tff(73,plain,(
% 264.90/265.23 ![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))),
% 264.90/265.23 inference(skolemize,[status(sab)],[72])).
% 264.90/265.23 tff(74,plain,
% 264.90/265.23 (![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))),
% 264.90/265.23 inference(modus_ponens,[status(thm)],[73, 66])).
% 264.90/265.23 tff(75,plain,
% 264.90/265.23 (((~![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))) | ((~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) | tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))) <=> ((~![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) | tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))),
% 264.90/265.23 inference(rewrite,[status(thm)],[])).
% 264.90/265.23 tff(76,plain,
% 264.90/265.23 ((~![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))) | ((~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) | tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))),
% 264.90/265.23 inference(quant_inst,[status(thm)],[])).
% 264.90/265.23 tff(77,plain,
% 264.90/265.23 ((~![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) | tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 264.90/265.23 inference(modus_ponens,[status(thm)],[76, 75])).
% 264.90/265.23 tff(78,plain,
% 264.90/265.23 (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 264.90/265.23 inference(unit_resolution,[status(thm)],[77, 74, 64])).
% 264.90/265.23 tff(79,plain,
% 264.90/265.23 ((~(tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) | tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))),
% 264.90/265.23 inference(tautology,[status(thm)],[])).
% 264.90/265.23 tff(80,plain,
% 264.90/265.23 ((~(tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))))) | tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))),
% 264.90/265.23 inference(unit_resolution,[status(thm)],[79, 78])).
% 264.90/265.23 tff(81,plain,
% 264.90/265.23 (tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))),
% 264.90/265.23 inference(unit_resolution,[status(thm)],[80, 59])).
% 264.90/265.23 tff(82,plain,
% 264.90/265.23 (![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3))) <=> ![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))),
% 264.90/265.23 inference(rewrite,[status(thm)],[])).
% 264.90/265.23 tff(83,plain,
% 264.90/265.23 (^[X3: $i, X4: $i] : trans(monotonicity(trans(monotonicity(rewrite((tptp_fun_____(X3, X4) & tptp_fun_____(X4, X3)) <=> (~((~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3))))), ((~(tptp_fun_____(X3, X4) & tptp_fun_____(X4, X3))) <=> (~(~((~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3))))))), rewrite((~(~((~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3))))) <=> ((~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))), ((~(tptp_fun_____(X3, X4) & tptp_fun_____(X4, X3))) <=> ((~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3))))), (((~(tptp_fun_____(X3, X4) & tptp_fun_____(X4, X3))) | (X3 = X4)) <=> (((~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3))) | (X3 = X4)))), rewrite((((~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3))) | (X3 = X4)) <=> ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))), (((~(tptp_fun_____(X3, X4) & tptp_fun_____(X4, X3))) | (X3 = X4)) <=> ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))))),
% 264.90/265.23 inference(bind,[status(th)],[])).
% 264.90/265.23 tff(84,plain,
% 264.90/265.23 (![X3: $i, X4: $i] : ((~(tptp_fun_____(X3, X4) & tptp_fun_____(X4, X3))) | (X3 = X4)) <=> ![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))),
% 264.90/265.23 inference(quant_intro,[status(thm)],[83])).
% 264.90/265.23 tff(85,plain,
% 264.90/265.23 (![X3: $i, X4: $i] : ((~(tptp_fun_____(X3, X4) & tptp_fun_____(X4, X3))) | (X3 = X4)) <=> ![X3: $i, X4: $i] : ((~(tptp_fun_____(X3, X4) & tptp_fun_____(X4, X3))) | (X3 = X4))),
% 264.90/265.23 inference(rewrite,[status(thm)],[])).
% 264.90/265.23 tff(86,plain,
% 264.90/265.23 (^[X3: $i, X4: $i] : rewrite(((tptp_fun_____(X3, X4) & tptp_fun_____(X4, X3)) => (X3 = X4)) <=> ((~(tptp_fun_____(X3, X4) & tptp_fun_____(X4, X3))) | (X3 = X4)))),
% 264.90/265.23 inference(bind,[status(th)],[])).
% 264.90/265.23 tff(87,plain,
% 264.90/265.23 (![X3: $i, X4: $i] : ((tptp_fun_____(X3, X4) & tptp_fun_____(X4, X3)) => (X3 = X4)) <=> ![X3: $i, X4: $i] : ((~(tptp_fun_____(X3, X4) & tptp_fun_____(X4, X3))) | (X3 = X4))),
% 264.90/265.23 inference(quant_intro,[status(thm)],[86])).
% 264.90/265.23 tff(88,axiom,(![X3: $i, X4: $i] : ((tptp_fun_____(X3, X4) & tptp_fun_____(X4, X3)) => (X3 = X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_06')).
% 264.90/265.23 tff(89,plain,
% 264.90/265.23 (![X3: $i, X4: $i] : ((~(tptp_fun_____(X3, X4) & tptp_fun_____(X4, X3))) | (X3 = X4))),
% 264.90/265.23 inference(modus_ponens,[status(thm)],[88, 87])).
% 264.90/265.23 tff(90,plain,
% 264.90/265.23 (![X3: $i, X4: $i] : ((~(tptp_fun_____(X3, X4) & tptp_fun_____(X4, X3))) | (X3 = X4))),
% 264.90/265.23 inference(modus_ponens,[status(thm)],[89, 85])).
% 264.90/265.23 tff(91,plain,(
% 264.90/265.23 ![X3: $i, X4: $i] : ((~(tptp_fun_____(X3, X4) & tptp_fun_____(X4, X3))) | (X3 = X4))),
% 264.90/265.23 inference(skolemize,[status(sab)],[90])).
% 264.90/265.23 tff(92,plain,
% 264.90/265.23 (![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))),
% 264.90/265.23 inference(modus_ponens,[status(thm)],[91, 84])).
% 264.90/265.23 tff(93,plain,
% 264.90/265.23 (![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))),
% 264.90/265.23 inference(modus_ponens,[status(thm)],[92, 82])).
% 264.90/265.23 tff(94,plain,
% 264.90/265.23 (((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | (tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))))) <=> ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | (tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))))),
% 264.90/265.23 inference(rewrite,[status(thm)],[])).
% 264.90/265.23 tff(95,plain,
% 264.90/265.23 (((tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) <=> ((~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | (tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))))),
% 264.90/265.24 inference(rewrite,[status(thm)],[])).
% 264.90/265.24 tff(96,plain,
% 264.90/265.24 (((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))) <=> ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | (tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))))),
% 264.90/265.24 inference(monotonicity,[status(thm)],[95])).
% 264.90/265.24 tff(97,plain,
% 264.90/265.24 (((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))) <=> ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | (tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))))),
% 264.90/265.24 inference(transitivity,[status(thm)],[96, 94])).
% 264.90/265.24 tff(98,plain,
% 264.90/265.24 ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))),
% 264.90/265.24 inference(quant_inst,[status(thm)],[])).
% 264.90/265.24 tff(99,plain,
% 264.90/265.24 ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | (tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))),
% 264.90/265.24 inference(modus_ponens,[status(thm)],[98, 97])).
% 264.90/265.24 tff(100,plain,
% 264.90/265.24 ((~tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | (tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))),
% 264.90/265.24 inference(unit_resolution,[status(thm)],[99, 93, 81])).
% 264.90/265.24 tff(101,plain,
% 264.90/265.24 (tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 264.90/265.24 inference(unit_resolution,[status(thm)],[100, 57])).
% 264.90/265.24 tff(102,plain,
% 264.90/265.24 (tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))),
% 264.90/265.24 inference(symmetry,[status(thm)],[101])).
% 264.90/265.24 tff(103,plain,
% 264.90/265.24 ((~![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7)))) | (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), X17!0) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))),
% 264.90/265.24 inference(quant_inst,[status(thm)],[])).
% 264.90/265.24 tff(104,plain,
% 264.90/265.24 (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), X17!0) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))),
% 264.90/265.24 inference(unit_resolution,[status(thm)],[103, 19])).
% 264.90/265.24 tff(105,plain,
% 264.90/265.24 ((~(tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), X17!0) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), X17!0) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))),
% 264.90/265.24 inference(tautology,[status(thm)],[])).
% 264.90/265.24 tff(106,plain,
% 264.90/265.24 ((~(tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), X17!0) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), X17!0)),
% 264.90/265.24 inference(unit_resolution,[status(thm)],[105, 64])).
% 264.90/265.24 tff(107,plain,
% 264.90/265.24 (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), X17!0)),
% 264.90/265.24 inference(unit_resolution,[status(thm)],[106, 104])).
% 264.90/265.24 tff(108,plain,
% 264.90/265.24 (((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | ((~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), X17!0)) | tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) <=> ((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), X17!0)) | tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))),
% 264.90/265.24 inference(rewrite,[status(thm)],[])).
% 264.90/265.24 tff(109,plain,
% 264.90/265.24 ((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | ((~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), X17!0)) | tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))),
% 264.90/265.24 inference(quant_inst,[status(thm)],[])).
% 264.90/265.24 tff(110,plain,
% 264.90/265.24 ((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), X17!0)) | tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))),
% 264.90/265.24 inference(modus_ponens,[status(thm)],[109, 108])).
% 264.90/265.24 tff(111,plain,
% 264.90/265.24 (tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))),
% 264.90/265.24 inference(unit_resolution,[status(thm)],[110, 44, 107])).
% 264.90/265.24 tff(112,plain,
% 264.90/265.24 ((~![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7)))) | (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))))),
% 264.90/265.24 inference(quant_inst,[status(thm)],[])).
% 264.90/265.24 tff(113,plain,
% 264.90/265.24 (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))),
% 264.90/265.24 inference(unit_resolution,[status(thm)],[112, 19])).
% 264.90/265.24 tff(114,plain,
% 264.90/265.24 (^[X11: $i, X12: $i, X13: $i] : refl(((~tptp_fun_____(X11, X12)) | tptp_fun_____(tptp_fun______(X12, X13), tptp_fun______(X11, X13))) <=> ((~tptp_fun_____(X11, X12)) | tptp_fun_____(tptp_fun______(X12, X13), tptp_fun______(X11, X13))))),
% 264.90/265.24 inference(bind,[status(th)],[])).
% 264.90/265.24 tff(115,plain,
% 264.90/265.24 (![X11: $i, X12: $i, X13: $i] : ((~tptp_fun_____(X11, X12)) | tptp_fun_____(tptp_fun______(X12, X13), tptp_fun______(X11, X13))) <=> ![X11: $i, X12: $i, X13: $i] : ((~tptp_fun_____(X11, X12)) | tptp_fun_____(tptp_fun______(X12, X13), tptp_fun______(X11, X13)))),
% 264.90/265.24 inference(quant_intro,[status(thm)],[114])).
% 264.90/265.24 tff(116,plain,
% 264.90/265.24 (![X11: $i, X12: $i, X13: $i] : ((~tptp_fun_____(X11, X12)) | tptp_fun_____(tptp_fun______(X12, X13), tptp_fun______(X11, X13))) <=> ![X11: $i, X12: $i, X13: $i] : ((~tptp_fun_____(X11, X12)) | tptp_fun_____(tptp_fun______(X12, X13), tptp_fun______(X11, X13)))),
% 264.90/265.24 inference(rewrite,[status(thm)],[])).
% 264.90/265.25 tff(117,plain,
% 264.90/265.25 (^[X11: $i, X12: $i, X13: $i] : rewrite((tptp_fun_____(X11, X12) => tptp_fun_____(tptp_fun______(X12, X13), tptp_fun______(X11, X13))) <=> ((~tptp_fun_____(X11, X12)) | tptp_fun_____(tptp_fun______(X12, X13), tptp_fun______(X11, X13))))),
% 264.90/265.25 inference(bind,[status(th)],[])).
% 264.90/265.25 tff(118,plain,
% 264.90/265.25 (![X11: $i, X12: $i, X13: $i] : (tptp_fun_____(X11, X12) => tptp_fun_____(tptp_fun______(X12, X13), tptp_fun______(X11, X13))) <=> ![X11: $i, X12: $i, X13: $i] : ((~tptp_fun_____(X11, X12)) | tptp_fun_____(tptp_fun______(X12, X13), tptp_fun______(X11, X13)))),
% 264.90/265.25 inference(quant_intro,[status(thm)],[117])).
% 264.90/265.25 tff(119,axiom,(![X11: $i, X12: $i, X13: $i] : (tptp_fun_____(X11, X12) => tptp_fun_____(tptp_fun______(X12, X13), tptp_fun______(X11, X13)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_10')).
% 264.90/265.25 tff(120,plain,
% 264.90/265.25 (![X11: $i, X12: $i, X13: $i] : ((~tptp_fun_____(X11, X12)) | tptp_fun_____(tptp_fun______(X12, X13), tptp_fun______(X11, X13)))),
% 264.90/265.25 inference(modus_ponens,[status(thm)],[119, 118])).
% 264.90/265.25 tff(121,plain,
% 264.90/265.25 (![X11: $i, X12: $i, X13: $i] : ((~tptp_fun_____(X11, X12)) | tptp_fun_____(tptp_fun______(X12, X13), tptp_fun______(X11, X13)))),
% 264.90/265.25 inference(modus_ponens,[status(thm)],[120, 116])).
% 264.90/265.25 tff(122,plain,(
% 264.90/265.25 ![X11: $i, X12: $i, X13: $i] : ((~tptp_fun_____(X11, X12)) | tptp_fun_____(tptp_fun______(X12, X13), tptp_fun______(X11, X13)))),
% 264.90/265.25 inference(skolemize,[status(sab)],[121])).
% 264.90/265.25 tff(123,plain,
% 264.90/265.25 (![X11: $i, X12: $i, X13: $i] : ((~tptp_fun_____(X11, X12)) | tptp_fun_____(tptp_fun______(X12, X13), tptp_fun______(X11, X13)))),
% 264.90/265.25 inference(modus_ponens,[status(thm)],[122, 115])).
% 264.90/265.25 tff(124,plain,
% 264.90/265.25 (((~![X11: $i, X12: $i, X13: $i] : ((~tptp_fun_____(X11, X12)) | tptp_fun_____(tptp_fun______(X12, X13), tptp_fun______(X11, X13)))) | ((~tptp_fun_____(X17!0, X17!0)) | tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, |'1'|)))) <=> ((~![X11: $i, X12: $i, X13: $i] : ((~tptp_fun_____(X11, X12)) | tptp_fun_____(tptp_fun______(X12, X13), tptp_fun______(X11, X13)))) | (~tptp_fun_____(X17!0, X17!0)) | tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, |'1'|)))),
% 264.90/265.25 inference(rewrite,[status(thm)],[])).
% 264.90/265.25 tff(125,plain,
% 264.90/265.25 ((~![X11: $i, X12: $i, X13: $i] : ((~tptp_fun_____(X11, X12)) | tptp_fun_____(tptp_fun______(X12, X13), tptp_fun______(X11, X13)))) | ((~tptp_fun_____(X17!0, X17!0)) | tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, |'1'|)))),
% 264.90/265.25 inference(quant_inst,[status(thm)],[])).
% 264.90/265.25 tff(126,plain,
% 264.90/265.25 ((~![X11: $i, X12: $i, X13: $i] : ((~tptp_fun_____(X11, X12)) | tptp_fun_____(tptp_fun______(X12, X13), tptp_fun______(X11, X13)))) | (~tptp_fun_____(X17!0, X17!0)) | tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, |'1'|))),
% 264.90/265.25 inference(modus_ponens,[status(thm)],[125, 124])).
% 264.90/265.25 tff(127,plain,
% 264.90/265.25 ((~tptp_fun_____(X17!0, X17!0)) | tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, |'1'|))),
% 264.90/265.25 inference(unit_resolution,[status(thm)],[126, 123])).
% 264.90/265.25 tff(128,plain,
% 264.90/265.25 (tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, |'1'|))),
% 264.90/265.25 inference(unit_resolution,[status(thm)],[127, 34])).
% 264.90/265.25 tff(129,plain,
% 264.90/265.25 (((~![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))) | ((~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, |'1'|))) | tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))) <=> ((~![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, |'1'|))) | tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))),
% 264.90/265.25 inference(rewrite,[status(thm)],[])).
% 264.90/265.25 tff(130,plain,
% 264.90/265.25 ((~![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))) | ((~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, |'1'|))) | tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))),
% 264.90/265.25 inference(quant_inst,[status(thm)],[])).
% 264.90/265.25 tff(131,plain,
% 264.90/265.25 ((~![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, |'1'|))) | tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))),
% 264.90/265.25 inference(modus_ponens,[status(thm)],[130, 129])).
% 264.90/265.25 tff(132,plain,
% 264.90/265.25 (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))),
% 264.90/265.25 inference(unit_resolution,[status(thm)],[131, 74, 128])).
% 264.90/265.25 tff(133,plain,
% 264.90/265.25 ((~(tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))),
% 264.90/265.25 inference(tautology,[status(thm)],[])).
% 264.90/265.25 tff(134,plain,
% 264.90/265.25 ((~(tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))))) | tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))),
% 264.90/265.25 inference(unit_resolution,[status(thm)],[133, 132])).
% 264.90/265.25 tff(135,plain,
% 264.90/265.25 (tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))),
% 264.90/265.25 inference(unit_resolution,[status(thm)],[134, 113])).
% 264.90/265.25 tff(136,plain,
% 264.90/265.25 (((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))) | (tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0) = tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))) <=> ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))) | (tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0) = tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))),
% 264.90/265.25 inference(rewrite,[status(thm)],[])).
% 264.90/265.25 tff(137,plain,
% 264.90/265.25 (((tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0) = tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) <=> ((~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))) | (tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0) = tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))),
% 264.90/265.25 inference(rewrite,[status(thm)],[])).
% 264.90/265.25 tff(138,plain,
% 264.90/265.25 (((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0) = tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))) <=> ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))) | (tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0) = tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))))),
% 264.90/265.25 inference(monotonicity,[status(thm)],[137])).
% 264.90/265.25 tff(139,plain,
% 264.90/265.25 (((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0) = tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))) <=> ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))) | (tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0) = tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))),
% 264.90/265.25 inference(transitivity,[status(thm)],[138, 136])).
% 264.90/265.25 tff(140,plain,
% 264.90/265.25 ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0) = tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))),
% 264.90/265.25 inference(quant_inst,[status(thm)],[])).
% 264.90/265.25 tff(141,plain,
% 264.90/265.25 ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))) | (tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0) = tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))),
% 264.90/265.25 inference(modus_ponens,[status(thm)],[140, 139])).
% 264.90/265.25 tff(142,plain,
% 264.90/265.25 (tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0) = tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))),
% 264.90/265.25 inference(unit_resolution,[status(thm)],[141, 93, 135, 111])).
% 264.90/265.25 tff(143,plain,
% 264.90/265.25 (tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) = tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)),
% 264.90/265.25 inference(symmetry,[status(thm)],[142])).
% 264.90/265.25 tff(144,plain,
% 264.90/265.25 (tptp_fun______(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), X17!0) = tptp_fun______(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0), X17!0)),
% 264.90/265.25 inference(monotonicity,[status(thm)],[10])).
% 264.90/265.25 tff(145,plain,
% 264.90/265.25 (tptp_fun______(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0), X17!0) = tptp_fun______(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), X17!0)),
% 264.90/265.25 inference(symmetry,[status(thm)],[144])).
% 264.90/265.25 tff(146,plain,
% 264.90/265.25 ((~![A: $i, B: $i] : (tptp_fun______(tptp_fun______(A, B), B) = tptp_fun______(tptp_fun______(B, A), A))) | (tptp_fun______(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0), X17!0) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))),
% 264.90/265.25 inference(quant_inst,[status(thm)],[])).
% 264.90/265.25 tff(147,plain,
% 264.90/265.25 (tptp_fun______(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0), X17!0) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))),
% 264.90/265.26 inference(unit_resolution,[status(thm)],[146, 7])).
% 264.90/265.26 tff(148,plain,
% 264.90/265.26 (tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)) = tptp_fun______(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0), X17!0)),
% 264.90/265.26 inference(symmetry,[status(thm)],[147])).
% 264.90/265.26 tff(149,plain,
% 264.90/265.26 (tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)) = tptp_fun______(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), X17!0)),
% 264.90/265.26 inference(transitivity,[status(thm)],[148, 145])).
% 264.90/265.26 tff(150,plain,
% 264.90/265.26 (tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) <=> tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))),
% 264.90/265.26 inference(monotonicity,[status(thm)],[149, 143])).
% 264.90/265.26 tff(151,plain,
% 264.90/265.26 (tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))),
% 264.90/265.26 inference(symmetry,[status(thm)],[150])).
% 264.90/265.26 tff(152,plain,
% 264.90/265.26 (tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0)) <=> tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))),
% 264.90/265.26 inference(monotonicity,[status(thm)],[9])).
% 264.90/265.26 tff(153,plain,
% 264.90/265.26 ((~![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7)))) | (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(X17!0, |'1'|)), X17!0) <=> tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0)))),
% 264.90/265.26 inference(quant_inst,[status(thm)],[])).
% 264.90/265.26 tff(154,plain,
% 264.90/265.26 (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(X17!0, |'1'|)), X17!0) <=> tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0))),
% 264.90/265.26 inference(unit_resolution,[status(thm)],[153, 19])).
% 264.90/265.26 tff(155,plain,
% 264.90/265.26 (^[A: $i, B: $i] : refl((tptp_fun____(A, B) = tptp_fun____(B, A)) <=> (tptp_fun____(A, B) = tptp_fun____(B, A)))),
% 264.90/265.26 inference(bind,[status(th)],[])).
% 264.90/265.26 tff(156,plain,
% 264.90/265.26 (![A: $i, B: $i] : (tptp_fun____(A, B) = tptp_fun____(B, A)) <=> ![A: $i, B: $i] : (tptp_fun____(A, B) = tptp_fun____(B, A))),
% 264.90/265.26 inference(quant_intro,[status(thm)],[155])).
% 264.90/265.26 tff(157,plain,
% 264.90/265.26 (![A: $i, B: $i] : (tptp_fun____(A, B) = tptp_fun____(B, A)) <=> ![A: $i, B: $i] : (tptp_fun____(A, B) = tptp_fun____(B, A))),
% 264.90/265.26 inference(rewrite,[status(thm)],[])).
% 264.90/265.26 tff(158,axiom,(![A: $i, B: $i] : (tptp_fun____(A, B) = tptp_fun____(B, A))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_02')).
% 264.90/265.26 tff(159,plain,
% 264.90/265.26 (![A: $i, B: $i] : (tptp_fun____(A, B) = tptp_fun____(B, A))),
% 264.90/265.26 inference(modus_ponens,[status(thm)],[158, 157])).
% 264.90/265.26 tff(160,plain,(
% 264.90/265.26 ![A: $i, B: $i] : (tptp_fun____(A, B) = tptp_fun____(B, A))),
% 264.90/265.26 inference(skolemize,[status(sab)],[159])).
% 264.90/265.26 tff(161,plain,
% 264.90/265.26 (![A: $i, B: $i] : (tptp_fun____(A, B) = tptp_fun____(B, A))),
% 264.90/265.26 inference(modus_ponens,[status(thm)],[160, 156])).
% 264.90/265.26 tff(162,plain,
% 264.90/265.26 ((~![A: $i, B: $i] : (tptp_fun____(A, B) = tptp_fun____(B, A))) | (tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(X17!0, |'1'|)) = tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))),
% 264.90/265.26 inference(quant_inst,[status(thm)],[])).
% 264.90/265.26 tff(163,plain,
% 264.90/265.26 (tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(X17!0, |'1'|)) = tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))),
% 264.90/265.26 inference(unit_resolution,[status(thm)],[162, 161])).
% 264.90/265.26 tff(164,plain,
% 264.90/265.26 (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(X17!0, |'1'|)), X17!0) <=> tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), X17!0)),
% 264.90/265.26 inference(monotonicity,[status(thm)],[163])).
% 264.90/265.26 tff(165,plain,
% 264.90/265.26 (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), X17!0) <=> tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(X17!0, |'1'|)), X17!0)),
% 264.90/265.26 inference(symmetry,[status(thm)],[164])).
% 264.90/265.26 tff(166,plain,
% 264.90/265.26 (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(X17!0, |'1'|)), X17!0)),
% 264.90/265.26 inference(modus_ponens,[status(thm)],[107, 165])).
% 264.90/265.26 tff(167,plain,
% 264.90/265.26 ((~(tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(X17!0, |'1'|)), X17!0) <=> tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0)))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(X17!0, |'1'|)), X17!0)) | tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0))),
% 264.90/265.26 inference(tautology,[status(thm)],[])).
% 264.90/265.26 tff(168,plain,
% 264.90/265.26 (tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0))),
% 264.90/265.26 inference(unit_resolution,[status(thm)],[167, 166, 154])).
% 264.90/265.26 tff(169,plain,
% 264.90/265.26 (tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))),
% 264.90/265.26 inference(modus_ponens,[status(thm)],[168, 152])).
% 264.90/265.26 tff(170,plain,
% 264.90/265.26 (((~![X11: $i, X12: $i, X13: $i] : ((~tptp_fun_____(X11, X12)) | tptp_fun_____(tptp_fun______(X12, X13), tptp_fun______(X11, X13)))) | ((~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) <=> ((~![X11: $i, X12: $i, X13: $i] : ((~tptp_fun_____(X11, X12)) | tptp_fun_____(tptp_fun______(X12, X13), tptp_fun______(X11, X13)))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))),
% 264.90/265.26 inference(rewrite,[status(thm)],[])).
% 264.90/265.26 tff(171,plain,
% 264.90/265.26 ((~![X11: $i, X12: $i, X13: $i] : ((~tptp_fun_____(X11, X12)) | tptp_fun_____(tptp_fun______(X12, X13), tptp_fun______(X11, X13)))) | ((~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))),
% 264.90/265.26 inference(quant_inst,[status(thm)],[])).
% 264.90/265.26 tff(172,plain,
% 264.90/265.26 ((~![X11: $i, X12: $i, X13: $i] : ((~tptp_fun_____(X11, X12)) | tptp_fun_____(tptp_fun______(X12, X13), tptp_fun______(X11, X13)))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))),
% 264.90/265.26 inference(modus_ponens,[status(thm)],[171, 170])).
% 264.90/265.26 tff(173,plain,
% 264.90/265.26 ((~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))),
% 264.90/265.26 inference(unit_resolution,[status(thm)],[172, 123])).
% 264.90/265.26 tff(174,plain,
% 264.90/265.26 (tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), X17!0), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))),
% 264.90/265.26 inference(unit_resolution,[status(thm)],[173, 169])).
% 264.90/265.26 tff(175,plain,
% 264.90/265.26 (tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))),
% 264.90/265.26 inference(modus_ponens,[status(thm)],[174, 151])).
% 264.90/265.26 tff(176,plain,
% 264.90/265.26 (tptp_fun______(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), X17!0) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))),
% 264.90/265.26 inference(transitivity,[status(thm)],[144, 147])).
% 264.90/265.26 tff(177,plain,
% 264.90/265.26 (tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), X17!0)) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))),
% 264.90/265.26 inference(monotonicity,[status(thm)],[142, 176])).
% 264.90/265.26 tff(178,plain,
% 264.90/265.26 ((~![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7)))) | (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), X17!0) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), X17!0)))),
% 264.90/265.26 inference(quant_inst,[status(thm)],[])).
% 264.90/265.26 tff(179,plain,
% 264.90/265.26 (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), X17!0) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), X17!0))),
% 264.90/265.26 inference(unit_resolution,[status(thm)],[178, 19])).
% 264.90/265.26 tff(180,plain,
% 264.90/265.26 ((~![A: $i, B: $i] : (tptp_fun____(A, B) = tptp_fun____(B, A))) | (tptp_fun____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)) = tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 264.90/265.26 inference(quant_inst,[status(thm)],[])).
% 264.90/265.26 tff(181,plain,
% 264.90/265.26 (tptp_fun____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)) = tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))),
% 264.90/265.26 inference(unit_resolution,[status(thm)],[180, 161])).
% 264.90/265.26 tff(182,plain,
% 264.90/265.26 (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), X17!0) <=> tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), X17!0)),
% 264.90/265.26 inference(monotonicity,[status(thm)],[181])).
% 264.90/265.26 tff(183,plain,
% 264.90/265.26 (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), X17!0) <=> tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), X17!0)),
% 264.90/265.26 inference(symmetry,[status(thm)],[182])).
% 264.90/265.26 tff(184,plain,
% 264.90/265.26 (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), X17!0)),
% 264.90/265.26 inference(modus_ponens,[status(thm)],[52, 183])).
% 264.90/265.26 tff(185,plain,
% 264.90/265.26 ((~(tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), X17!0) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), X17!0)))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), X17!0)) | tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), X17!0))),
% 264.90/265.26 inference(tautology,[status(thm)],[])).
% 264.90/265.26 tff(186,plain,
% 264.90/265.26 (tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), X17!0))),
% 264.90/265.26 inference(unit_resolution,[status(thm)],[185, 184, 179])).
% 264.90/265.26 tff(187,plain,
% 264.90/265.26 (tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))),
% 264.90/265.26 inference(modus_ponens,[status(thm)],[186, 177])).
% 264.90/265.26 tff(188,plain,
% 264.90/265.26 (((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))) <=> ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))),
% 264.90/265.27 inference(rewrite,[status(thm)],[])).
% 264.90/265.27 tff(189,plain,
% 264.90/265.27 (((tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))))) <=> ((~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))),
% 264.90/265.27 inference(rewrite,[status(thm)],[])).
% 264.90/265.27 tff(190,plain,
% 264.90/265.27 (((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))))) <=> ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))))),
% 264.90/265.27 inference(monotonicity,[status(thm)],[189])).
% 264.90/265.27 tff(191,plain,
% 264.90/265.27 (((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))))) <=> ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))),
% 264.90/265.27 inference(transitivity,[status(thm)],[190, 188])).
% 264.90/265.27 tff(192,plain,
% 264.90/265.27 ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))))),
% 264.90/265.27 inference(quant_inst,[status(thm)],[])).
% 264.90/265.27 tff(193,plain,
% 264.90/265.27 ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))),
% 264.90/265.27 inference(modus_ponens,[status(thm)],[192, 191])).
% 264.90/265.27 tff(194,plain,
% 264.90/265.27 ((~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))) | (tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))),
% 264.90/265.27 inference(unit_resolution,[status(thm)],[193, 93, 187])).
% 264.90/265.27 tff(195,plain,
% 264.90/265.27 (tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))),
% 264.90/265.27 inference(unit_resolution,[status(thm)],[194, 175])).
% 264.90/265.27 tff(196,plain,
% 264.90/265.27 (tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)) = tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))),
% 264.90/265.27 inference(symmetry,[status(thm)],[195])).
% 264.90/265.27 tff(197,plain,
% 264.90/265.27 (tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 264.90/265.27 inference(monotonicity,[status(thm)],[196])).
% 264.90/265.27 tff(198,plain,
% 264.90/265.27 (tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 264.90/265.27 inference(symmetry,[status(thm)],[197])).
% 264.90/265.27 tff(199,plain,
% 264.90/265.27 (^[A: $i] : refl((tptp_fun____(A, A) = A) <=> (tptp_fun____(A, A) = A))),
% 264.90/265.27 inference(bind,[status(th)],[])).
% 264.90/265.27 tff(200,plain,
% 264.90/265.27 (![A: $i] : (tptp_fun____(A, A) = A) <=> ![A: $i] : (tptp_fun____(A, A) = A)),
% 264.90/265.27 inference(quant_intro,[status(thm)],[199])).
% 264.90/265.27 tff(201,plain,
% 264.90/265.27 (![A: $i] : (tptp_fun____(A, A) = A) <=> ![A: $i] : (tptp_fun____(A, A) = A)),
% 264.90/265.27 inference(rewrite,[status(thm)],[])).
% 264.90/265.27 tff(202,axiom,(![A: $i] : (tptp_fun____(A, A) = A)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_14')).
% 264.90/265.27 tff(203,plain,
% 264.90/265.27 (![A: $i] : (tptp_fun____(A, A) = A)),
% 264.90/265.27 inference(modus_ponens,[status(thm)],[202, 201])).
% 264.90/265.27 tff(204,plain,(
% 264.90/265.27 ![A: $i] : (tptp_fun____(A, A) = A)),
% 264.90/265.27 inference(skolemize,[status(sab)],[203])).
% 264.90/265.27 tff(205,plain,
% 264.90/265.27 (![A: $i] : (tptp_fun____(A, A) = A)),
% 264.90/265.27 inference(modus_ponens,[status(thm)],[204, 200])).
% 264.90/265.27 tff(206,plain,
% 264.90/265.27 ((~![A: $i] : (tptp_fun____(A, A) = A)) | (tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) = tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))),
% 264.90/265.27 inference(quant_inst,[status(thm)],[])).
% 264.90/265.27 tff(207,plain,
% 264.90/265.27 (tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) = tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))),
% 264.90/265.27 inference(unit_resolution,[status(thm)],[206, 205])).
% 264.90/265.27 tff(208,plain,
% 264.90/265.27 (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 264.90/265.27 inference(monotonicity,[status(thm)],[207])).
% 264.90/265.27 tff(209,plain,
% 264.90/265.27 (tptp_fun____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) = tptp_fun____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))),
% 264.90/265.27 inference(monotonicity,[status(thm)],[143])).
% 264.90/265.27 tff(210,plain,
% 264.90/265.27 (tptp_fun____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) = tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))),
% 264.90/265.27 inference(transitivity,[status(thm)],[209, 181])).
% 264.90/265.27 tff(211,plain,
% 264.90/265.27 (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))) <=> tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 264.90/265.28 inference(monotonicity,[status(thm)],[210])).
% 264.90/265.28 tff(212,plain,
% 264.90/265.28 (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 264.90/265.28 inference(transitivity,[status(thm)],[211, 208, 198])).
% 264.90/265.28 tff(213,plain,
% 264.90/265.28 (tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0))),
% 264.90/265.28 inference(monotonicity,[status(thm)],[143, 10])).
% 264.90/265.28 tff(214,plain,
% 264.90/265.28 (tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0)) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))),
% 264.90/265.28 inference(symmetry,[status(thm)],[213])).
% 264.90/265.28 tff(215,plain,
% 264.90/265.28 (tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0) = tptp_fun______(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), X17!0)),
% 264.90/265.28 inference(transitivity,[status(thm)],[142, 195, 148, 145])).
% 264.90/265.28 tff(216,plain,
% 264.90/265.28 (tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0)) <=> tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), X17!0), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0))),
% 264.90/265.28 inference(monotonicity,[status(thm)],[215])).
% 264.90/265.28 tff(217,plain,
% 264.90/265.28 (tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), X17!0), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0)) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0))),
% 264.90/265.28 inference(symmetry,[status(thm)],[216])).
% 264.90/265.28 tff(218,plain,
% 264.90/265.28 ((~![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7)))) | (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|)) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 264.90/265.28 inference(quant_inst,[status(thm)],[])).
% 264.90/265.28 tff(219,plain,
% 264.90/265.28 (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|)) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))),
% 264.90/265.28 inference(unit_resolution,[status(thm)],[218, 19])).
% 264.90/265.28 tff(220,plain,
% 264.90/265.28 (((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | ((~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, |'1'|))) | tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) <=> ((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, |'1'|))) | tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 264.90/265.28 inference(rewrite,[status(thm)],[])).
% 264.90/265.28 tff(221,plain,
% 264.90/265.28 ((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | ((~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, |'1'|))) | tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 264.90/265.28 inference(quant_inst,[status(thm)],[])).
% 264.90/265.28 tff(222,plain,
% 264.90/265.28 ((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, |'1'|))) | tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))),
% 264.90/265.28 inference(modus_ponens,[status(thm)],[221, 220])).
% 264.90/265.28 tff(223,plain,
% 264.90/265.28 ((~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, |'1'|))) | tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))),
% 264.90/265.28 inference(unit_resolution,[status(thm)],[222, 44])).
% 264.90/265.28 tff(224,plain,
% 264.90/265.28 (tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))),
% 264.90/265.28 inference(unit_resolution,[status(thm)],[223, 128])).
% 264.90/265.28 tff(225,plain,
% 264.90/265.28 ((~(tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|)) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) | tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|)) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 264.90/265.28 inference(tautology,[status(thm)],[])).
% 264.90/265.28 tff(226,plain,
% 264.90/265.28 ((~(tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|)) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) | tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|))),
% 264.90/265.28 inference(unit_resolution,[status(thm)],[225, 224])).
% 264.90/265.28 tff(227,plain,
% 264.90/265.28 (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|))),
% 264.90/265.28 inference(unit_resolution,[status(thm)],[226, 219])).
% 264.90/265.28 tff(228,plain,
% 264.90/265.28 (((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | ((~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|))) | tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) <=> ((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|))) | tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 264.90/265.28 inference(rewrite,[status(thm)],[])).
% 264.90/265.28 tff(229,plain,
% 264.90/265.28 ((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | ((~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|))) | tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 264.90/265.28 inference(quant_inst,[status(thm)],[])).
% 264.90/265.28 tff(230,plain,
% 264.90/265.28 ((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|))) | tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))),
% 264.90/265.28 inference(modus_ponens,[status(thm)],[229, 228])).
% 264.90/265.28 tff(231,plain,
% 264.90/265.28 (tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))),
% 264.90/265.28 inference(unit_resolution,[status(thm)],[230, 44, 227])).
% 264.90/265.28 tff(232,plain,
% 264.90/265.28 ((~![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7)))) | (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))))),
% 264.90/265.28 inference(quant_inst,[status(thm)],[])).
% 264.90/265.28 tff(233,plain,
% 264.90/265.28 (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))),
% 264.90/265.28 inference(unit_resolution,[status(thm)],[232, 19])).
% 264.90/265.28 tff(234,plain,
% 264.90/265.28 (((~![X11: $i, X12: $i, X13: $i] : ((~tptp_fun_____(X11, X12)) | tptp_fun_____(tptp_fun______(X12, X13), tptp_fun______(X11, X13)))) | ((~tptp_fun_____(X17!0, X17!0)) | tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) <=> ((~![X11: $i, X12: $i, X13: $i] : ((~tptp_fun_____(X11, X12)) | tptp_fun_____(tptp_fun______(X12, X13), tptp_fun______(X11, X13)))) | (~tptp_fun_____(X17!0, X17!0)) | tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))),
% 264.90/265.28 inference(rewrite,[status(thm)],[])).
% 264.90/265.28 tff(235,plain,
% 264.90/265.28 ((~![X11: $i, X12: $i, X13: $i] : ((~tptp_fun_____(X11, X12)) | tptp_fun_____(tptp_fun______(X12, X13), tptp_fun______(X11, X13)))) | ((~tptp_fun_____(X17!0, X17!0)) | tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))),
% 264.90/265.28 inference(quant_inst,[status(thm)],[])).
% 264.90/265.28 tff(236,plain,
% 264.90/265.28 ((~![X11: $i, X12: $i, X13: $i] : ((~tptp_fun_____(X11, X12)) | tptp_fun_____(tptp_fun______(X12, X13), tptp_fun______(X11, X13)))) | (~tptp_fun_____(X17!0, X17!0)) | tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))),
% 264.90/265.28 inference(modus_ponens,[status(thm)],[235, 234])).
% 264.90/265.28 tff(237,plain,
% 264.90/265.28 ((~tptp_fun_____(X17!0, X17!0)) | tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))),
% 264.90/265.28 inference(unit_resolution,[status(thm)],[236, 123])).
% 264.90/265.28 tff(238,plain,
% 264.90/265.28 (tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))),
% 264.90/265.28 inference(unit_resolution,[status(thm)],[237, 34])).
% 264.90/265.28 tff(239,plain,
% 264.90/265.28 (((~![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))) | ((~tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))) | tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))) <=> ((~![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))) | tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))),
% 264.90/265.29 inference(rewrite,[status(thm)],[])).
% 264.90/265.29 tff(240,plain,
% 264.90/265.29 ((~![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))) | ((~tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))) | tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))),
% 264.90/265.29 inference(quant_inst,[status(thm)],[])).
% 264.90/265.29 tff(241,plain,
% 264.90/265.29 ((~![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))) | tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 264.90/265.29 inference(modus_ponens,[status(thm)],[240, 239])).
% 264.90/265.29 tff(242,plain,
% 264.90/265.29 (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 264.90/265.29 inference(unit_resolution,[status(thm)],[241, 74, 238])).
% 264.90/265.29 tff(243,plain,
% 264.90/265.29 ((~(tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) | tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))),
% 264.90/265.29 inference(tautology,[status(thm)],[])).
% 264.90/265.29 tff(244,plain,
% 264.90/265.29 ((~(tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))))) | tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))),
% 264.90/265.29 inference(unit_resolution,[status(thm)],[243, 242])).
% 264.90/265.29 tff(245,plain,
% 264.90/265.29 (tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))),
% 264.90/265.29 inference(unit_resolution,[status(thm)],[244, 233])).
% 264.90/265.29 tff(246,plain,
% 264.90/265.29 (((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | (tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))))) <=> ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | (tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))))),
% 264.90/265.29 inference(rewrite,[status(thm)],[])).
% 264.90/265.29 tff(247,plain,
% 264.90/265.29 (((tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) <=> ((~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | (tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))))),
% 264.90/265.29 inference(rewrite,[status(thm)],[])).
% 264.90/265.29 tff(248,plain,
% 264.90/265.29 (((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))) <=> ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | (tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))))),
% 264.90/265.29 inference(monotonicity,[status(thm)],[247])).
% 264.90/265.29 tff(249,plain,
% 264.90/265.29 (((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))) <=> ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | (tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))))),
% 264.90/265.29 inference(transitivity,[status(thm)],[248, 246])).
% 264.90/265.29 tff(250,plain,
% 264.90/265.29 ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))),
% 264.90/265.29 inference(quant_inst,[status(thm)],[])).
% 264.90/265.29 tff(251,plain,
% 264.90/265.29 ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | (tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.30 inference(modus_ponens,[status(thm)],[250, 249])).
% 265.00/265.30 tff(252,plain,
% 265.00/265.30 (tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.30 inference(unit_resolution,[status(thm)],[251, 93, 245, 231])).
% 265.00/265.30 tff(253,plain,
% 265.00/265.30 (tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))),
% 265.00/265.30 inference(symmetry,[status(thm)],[252])).
% 265.00/265.30 tff(254,plain,
% 265.00/265.30 ((~![A: $i] : (tptp_fun____(A, A) = A)) | (tptp_fun____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) = tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.30 inference(quant_inst,[status(thm)],[])).
% 265.00/265.30 tff(255,plain,
% 265.00/265.30 (tptp_fun____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) = tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.30 inference(unit_resolution,[status(thm)],[254, 205])).
% 265.00/265.30 tff(256,plain,
% 265.00/265.30 ((~![A: $i] : (tptp_fun____(A, A) = A)) | (tptp_fun____(X17!0, X17!0) = X17!0)),
% 265.00/265.30 inference(quant_inst,[status(thm)],[])).
% 265.00/265.30 tff(257,plain,
% 265.00/265.30 (tptp_fun____(X17!0, X17!0) = X17!0),
% 265.00/265.30 inference(unit_resolution,[status(thm)],[256, 205])).
% 265.00/265.30 tff(258,plain,
% 265.00/265.30 (tptp_fun______(tptp_fun____(X17!0, X17!0), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.30 inference(monotonicity,[status(thm)],[257])).
% 265.00/265.30 tff(259,plain,
% 265.00/265.30 (tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun______(tptp_fun____(X17!0, X17!0), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.30 inference(symmetry,[status(thm)],[258])).
% 265.00/265.30 tff(260,plain,
% 265.00/265.30 (tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) <=> tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun____(X17!0, X17!0), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.30 inference(monotonicity,[status(thm)],[259])).
% 265.00/265.30 tff(261,plain,
% 265.00/265.30 (tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun____(X17!0, X17!0), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) <=> tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.30 inference(symmetry,[status(thm)],[260])).
% 265.00/265.30 tff(262,plain,
% 265.00/265.30 (^[A: $i, B: $i, C: $i] : refl((tptp_fun____(tptp_fun____(A, B), C) = tptp_fun____(A, tptp_fun____(B, C))) <=> (tptp_fun____(tptp_fun____(A, B), C) = tptp_fun____(A, tptp_fun____(B, C))))),
% 265.00/265.30 inference(bind,[status(th)],[])).
% 265.00/265.30 tff(263,plain,
% 265.00/265.30 (![A: $i, B: $i, C: $i] : (tptp_fun____(tptp_fun____(A, B), C) = tptp_fun____(A, tptp_fun____(B, C))) <=> ![A: $i, B: $i, C: $i] : (tptp_fun____(tptp_fun____(A, B), C) = tptp_fun____(A, tptp_fun____(B, C)))),
% 265.00/265.30 inference(quant_intro,[status(thm)],[262])).
% 265.00/265.30 tff(264,plain,
% 265.00/265.30 (![A: $i, B: $i, C: $i] : (tptp_fun____(tptp_fun____(A, B), C) = tptp_fun____(A, tptp_fun____(B, C))) <=> ![A: $i, B: $i, C: $i] : (tptp_fun____(tptp_fun____(A, B), C) = tptp_fun____(A, tptp_fun____(B, C)))),
% 265.00/265.30 inference(rewrite,[status(thm)],[])).
% 265.00/265.30 tff(265,axiom,(![A: $i, B: $i, C: $i] : (tptp_fun____(tptp_fun____(A, B), C) = tptp_fun____(A, tptp_fun____(B, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_01')).
% 265.00/265.30 tff(266,plain,
% 265.00/265.30 (![A: $i, B: $i, C: $i] : (tptp_fun____(tptp_fun____(A, B), C) = tptp_fun____(A, tptp_fun____(B, C)))),
% 265.00/265.30 inference(modus_ponens,[status(thm)],[265, 264])).
% 265.00/265.30 tff(267,plain,(
% 265.00/265.30 ![A: $i, B: $i, C: $i] : (tptp_fun____(tptp_fun____(A, B), C) = tptp_fun____(A, tptp_fun____(B, C)))),
% 265.00/265.30 inference(skolemize,[status(sab)],[266])).
% 265.00/265.30 tff(268,plain,
% 265.00/265.30 (![A: $i, B: $i, C: $i] : (tptp_fun____(tptp_fun____(A, B), C) = tptp_fun____(A, tptp_fun____(B, C)))),
% 265.00/265.30 inference(modus_ponens,[status(thm)],[267, 263])).
% 265.00/265.30 tff(269,plain,
% 265.00/265.30 ((~![A: $i, B: $i, C: $i] : (tptp_fun____(tptp_fun____(A, B), C) = tptp_fun____(A, tptp_fun____(B, C)))) | (tptp_fun____(tptp_fun____(X17!0, X17!0), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))) = tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.30 inference(quant_inst,[status(thm)],[])).
% 265.00/265.30 tff(270,plain,
% 265.00/265.30 (tptp_fun____(tptp_fun____(X17!0, X17!0), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))) = tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.30 inference(unit_resolution,[status(thm)],[269, 268])).
% 265.00/265.30 tff(271,plain,
% 265.00/265.30 (X17!0 = tptp_fun____(X17!0, X17!0)),
% 265.00/265.30 inference(symmetry,[status(thm)],[257])).
% 265.00/265.30 tff(272,plain,
% 265.00/265.30 (tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))) = tptp_fun____(tptp_fun____(X17!0, X17!0), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.30 inference(monotonicity,[status(thm)],[271])).
% 265.00/265.30 tff(273,plain,
% 265.00/265.30 (tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))) = tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.30 inference(transitivity,[status(thm)],[272, 270])).
% 265.00/265.30 tff(274,plain,
% 265.00/265.30 (tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))) = tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.30 inference(monotonicity,[status(thm)],[273])).
% 265.00/265.30 tff(275,plain,
% 265.00/265.30 (tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))) = tptp_fun______(tptp_fun____(X17!0, X17!0), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.30 inference(transitivity,[status(thm)],[274, 259])).
% 265.00/265.30 tff(276,plain,
% 265.00/265.30 (tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) <=> tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun____(X17!0, X17!0), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.30 inference(monotonicity,[status(thm)],[275])).
% 265.00/265.30 tff(277,plain,
% 265.00/265.30 ((~![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7)))) | (tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))) <=> tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.30 inference(quant_inst,[status(thm)],[])).
% 265.00/265.30 tff(278,plain,
% 265.00/265.30 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))) <=> tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.30 inference(unit_resolution,[status(thm)],[277, 19])).
% 265.00/265.30 tff(279,plain,
% 265.00/265.30 (((~![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))) | ((~tptp_fun_____(X17!0, X17!0)) | tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) <=> ((~![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))) | (~tptp_fun_____(X17!0, X17!0)) | tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.30 inference(rewrite,[status(thm)],[])).
% 265.00/265.30 tff(280,plain,
% 265.00/265.30 ((~![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))) | ((~tptp_fun_____(X17!0, X17!0)) | tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.30 inference(quant_inst,[status(thm)],[])).
% 265.00/265.30 tff(281,plain,
% 265.00/265.30 ((~![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))) | (~tptp_fun_____(X17!0, X17!0)) | tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.30 inference(modus_ponens,[status(thm)],[280, 279])).
% 265.00/265.30 tff(282,plain,
% 265.00/265.30 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.30 inference(unit_resolution,[status(thm)],[281, 74, 34])).
% 265.00/265.30 tff(283,plain,
% 265.00/265.30 ((~(tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))) <=> tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))) | (~tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) | tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.30 inference(tautology,[status(thm)],[])).
% 265.00/265.30 tff(284,plain,
% 265.00/265.30 ((~(tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))) <=> tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))) | tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.30 inference(unit_resolution,[status(thm)],[283, 282])).
% 265.00/265.30 tff(285,plain,
% 265.00/265.30 (tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.30 inference(unit_resolution,[status(thm)],[284, 278])).
% 265.00/265.30 tff(286,plain,
% 265.00/265.30 (tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun____(X17!0, X17!0), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.30 inference(modus_ponens,[status(thm)],[285, 276])).
% 265.00/265.30 tff(287,plain,
% 265.00/265.30 (tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.30 inference(modus_ponens,[status(thm)],[286, 261])).
% 265.00/265.30 tff(288,plain,
% 265.00/265.30 (tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.30 inference(symmetry,[status(thm)],[274])).
% 265.00/265.30 tff(289,plain,
% 265.00/265.30 (tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))) <=> tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.30 inference(monotonicity,[status(thm)],[288])).
% 265.00/265.30 tff(290,plain,
% 265.00/265.30 (tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))) <=> tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.30 inference(symmetry,[status(thm)],[289])).
% 265.00/265.30 tff(291,plain,
% 265.00/265.30 ((~![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7)))) | (tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|)) <=> tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.30 inference(quant_inst,[status(thm)],[])).
% 265.00/265.30 tff(292,plain,
% 265.00/265.30 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|)) <=> tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.30 inference(unit_resolution,[status(thm)],[291, 19])).
% 265.00/265.30 tff(293,plain,
% 265.00/265.30 ((~(tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|)) <=> tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) | tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|)) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.30 inference(tautology,[status(thm)],[])).
% 265.00/265.30 tff(294,plain,
% 265.00/265.30 ((~(tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|)) <=> tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) | tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|))),
% 265.00/265.30 inference(unit_resolution,[status(thm)],[293, 238])).
% 265.00/265.30 tff(295,plain,
% 265.00/265.30 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|))),
% 265.00/265.30 inference(unit_resolution,[status(thm)],[294, 292])).
% 265.00/265.30 tff(296,plain,
% 265.00/265.30 (((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | ((~tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|))) | tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) <=> ((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | (~tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|))) | tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.31 inference(rewrite,[status(thm)],[])).
% 265.00/265.31 tff(297,plain,
% 265.00/265.31 ((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | ((~tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|))) | tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.31 inference(quant_inst,[status(thm)],[])).
% 265.00/265.31 tff(298,plain,
% 265.00/265.31 ((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | (~tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|))) | tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.31 inference(modus_ponens,[status(thm)],[297, 296])).
% 265.00/265.31 tff(299,plain,
% 265.00/265.31 (tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.31 inference(unit_resolution,[status(thm)],[298, 44, 295])).
% 265.00/265.31 tff(300,plain,
% 265.00/265.31 (tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.31 inference(modus_ponens,[status(thm)],[299, 290])).
% 265.00/265.31 tff(301,plain,
% 265.00/265.31 (((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))) | (tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))))) <=> ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))) | (tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))))),
% 265.00/265.31 inference(rewrite,[status(thm)],[])).
% 265.00/265.31 tff(302,plain,
% 265.00/265.31 (((tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))))) <=> ((~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))) | (tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))))),
% 265.00/265.31 inference(rewrite,[status(thm)],[])).
% 265.00/265.31 tff(303,plain,
% 265.00/265.31 (((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))))) <=> ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))) | (tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))))))),
% 265.00/265.31 inference(monotonicity,[status(thm)],[302])).
% 265.00/265.31 tff(304,plain,
% 265.00/265.31 (((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))))) <=> ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))) | (tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))))),
% 265.00/265.31 inference(transitivity,[status(thm)],[303, 301])).
% 265.00/265.31 tff(305,plain,
% 265.00/265.31 ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))))),
% 265.00/265.31 inference(quant_inst,[status(thm)],[])).
% 265.00/265.31 tff(306,plain,
% 265.00/265.31 ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))) | (tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))))),
% 265.00/265.31 inference(modus_ponens,[status(thm)],[305, 304])).
% 265.00/265.31 tff(307,plain,
% 265.00/265.31 ((~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))) | (tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))))),
% 265.00/265.31 inference(unit_resolution,[status(thm)],[306, 93])).
% 265.00/265.31 tff(308,plain,
% 265.00/265.31 (tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))),
% 265.00/265.31 inference(unit_resolution,[status(thm)],[307, 300, 287])).
% 265.00/265.31 tff(309,plain,
% 265.00/265.31 (tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)) = tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.31 inference(symmetry,[status(thm)],[308])).
% 265.00/265.31 tff(310,plain,
% 265.00/265.31 (tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))) = tptp_fun____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.31 inference(monotonicity,[status(thm)],[309, 309])).
% 265.00/265.31 tff(311,plain,
% 265.00/265.31 (tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))) = tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.31 inference(transitivity,[status(thm)],[310, 255])).
% 265.00/265.31 tff(312,plain,
% 265.00/265.31 (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) <=> tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.31 inference(monotonicity,[status(thm)],[311])).
% 265.00/265.31 tff(313,plain,
% 265.00/265.31 ((~![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7)))) | (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) <=> tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.31 inference(quant_inst,[status(thm)],[])).
% 265.00/265.31 tff(314,plain,
% 265.00/265.31 (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) <=> tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.31 inference(unit_resolution,[status(thm)],[313, 19])).
% 265.00/265.31 tff(315,plain,
% 265.00/265.31 (tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) <=> tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.31 inference(monotonicity,[status(thm)],[253])).
% 265.00/265.31 tff(316,plain,
% 265.00/265.31 (tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))) <=> tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.31 inference(symmetry,[status(thm)],[315])).
% 265.00/265.31 tff(317,plain,
% 265.00/265.31 ((~![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7)))) | (tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), |'1'|) <=> tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.31 inference(quant_inst,[status(thm)],[])).
% 265.00/265.31 tff(318,plain,
% 265.00/265.31 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), |'1'|) <=> tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))),
% 265.00/265.31 inference(unit_resolution,[status(thm)],[317, 19])).
% 265.00/265.31 tff(319,plain,
% 265.00/265.31 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), |'1'|) <=> tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), |'1'|)),
% 265.00/265.31 inference(monotonicity,[status(thm)],[273])).
% 265.00/265.31 tff(320,plain,
% 265.00/265.31 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), |'1'|) <=> tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), |'1'|)),
% 265.00/265.31 inference(symmetry,[status(thm)],[319])).
% 265.00/265.31 tff(321,plain,
% 265.00/265.31 ((~![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7)))) | (tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), |'1'|) <=> tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.31 inference(quant_inst,[status(thm)],[])).
% 265.00/265.31 tff(322,plain,
% 265.00/265.31 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), |'1'|) <=> tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|))),
% 265.00/265.31 inference(unit_resolution,[status(thm)],[321, 19])).
% 265.00/265.31 tff(323,plain,
% 265.00/265.31 ((~(tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), |'1'|) <=> tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|)))) | tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), |'1'|) | (~tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.32 inference(tautology,[status(thm)],[])).
% 265.00/265.32 tff(324,plain,
% 265.00/265.32 ((~(tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), |'1'|) <=> tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|)))) | tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), |'1'|)),
% 265.00/265.32 inference(unit_resolution,[status(thm)],[323, 295])).
% 265.00/265.32 tff(325,plain,
% 265.00/265.32 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), |'1'|)),
% 265.00/265.32 inference(unit_resolution,[status(thm)],[324, 322])).
% 265.00/265.32 tff(326,plain,
% 265.00/265.32 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), |'1'|)),
% 265.00/265.32 inference(modus_ponens,[status(thm)],[325, 320])).
% 265.00/265.32 tff(327,plain,
% 265.00/265.32 ((~(tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), |'1'|) <=> tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | (~tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), |'1'|)) | tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))),
% 265.00/265.32 inference(tautology,[status(thm)],[])).
% 265.00/265.32 tff(328,plain,
% 265.00/265.32 ((~(tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), |'1'|) <=> tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))),
% 265.00/265.32 inference(unit_resolution,[status(thm)],[327, 326])).
% 265.00/265.32 tff(329,plain,
% 265.00/265.32 (tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))),
% 265.00/265.32 inference(unit_resolution,[status(thm)],[328, 318])).
% 265.00/265.32 tff(330,plain,
% 265.00/265.32 (![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2))) <=> ![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))),
% 265.00/265.32 inference(rewrite,[status(thm)],[])).
% 265.00/265.32 tff(331,plain,
% 265.00/265.32 (^[X0: $i, X1: $i, X2: $i] : trans(monotonicity(trans(monotonicity(rewrite((tptp_fun_____(X0, X1) & tptp_fun_____(X1, X2)) <=> (~((~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2))))), ((~(tptp_fun_____(X0, X1) & tptp_fun_____(X1, X2))) <=> (~(~((~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2))))))), rewrite((~(~((~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2))))) <=> ((~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))), ((~(tptp_fun_____(X0, X1) & tptp_fun_____(X1, X2))) <=> ((~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2))))), (((~(tptp_fun_____(X0, X1) & tptp_fun_____(X1, X2))) | tptp_fun_____(X0, X2)) <=> (((~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2))) | tptp_fun_____(X0, X2)))), rewrite((((~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2))) | tptp_fun_____(X0, X2)) <=> (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))), (((~(tptp_fun_____(X0, X1) & tptp_fun_____(X1, X2))) | tptp_fun_____(X0, X2)) <=> (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))))),
% 265.00/265.32 inference(bind,[status(th)],[])).
% 265.00/265.32 tff(332,plain,
% 265.00/265.32 (![X0: $i, X1: $i, X2: $i] : ((~(tptp_fun_____(X0, X1) & tptp_fun_____(X1, X2))) | tptp_fun_____(X0, X2)) <=> ![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))),
% 265.00/265.32 inference(quant_intro,[status(thm)],[331])).
% 265.00/265.32 tff(333,plain,
% 265.00/265.32 (![X0: $i, X1: $i, X2: $i] : ((~(tptp_fun_____(X0, X1) & tptp_fun_____(X1, X2))) | tptp_fun_____(X0, X2)) <=> ![X0: $i, X1: $i, X2: $i] : ((~(tptp_fun_____(X0, X1) & tptp_fun_____(X1, X2))) | tptp_fun_____(X0, X2))),
% 265.00/265.32 inference(rewrite,[status(thm)],[])).
% 265.00/265.32 tff(334,plain,
% 265.00/265.32 (^[X0: $i, X1: $i, X2: $i] : rewrite(((tptp_fun_____(X0, X1) & tptp_fun_____(X1, X2)) => tptp_fun_____(X0, X2)) <=> ((~(tptp_fun_____(X0, X1) & tptp_fun_____(X1, X2))) | tptp_fun_____(X0, X2)))),
% 265.00/265.32 inference(bind,[status(th)],[])).
% 265.00/265.32 tff(335,plain,
% 265.00/265.32 (![X0: $i, X1: $i, X2: $i] : ((tptp_fun_____(X0, X1) & tptp_fun_____(X1, X2)) => tptp_fun_____(X0, X2)) <=> ![X0: $i, X1: $i, X2: $i] : ((~(tptp_fun_____(X0, X1) & tptp_fun_____(X1, X2))) | tptp_fun_____(X0, X2))),
% 265.00/265.32 inference(quant_intro,[status(thm)],[334])).
% 265.00/265.32 tff(336,axiom,(![X0: $i, X1: $i, X2: $i] : ((tptp_fun_____(X0, X1) & tptp_fun_____(X1, X2)) => tptp_fun_____(X0, X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_05')).
% 265.00/265.32 tff(337,plain,
% 265.00/265.32 (![X0: $i, X1: $i, X2: $i] : ((~(tptp_fun_____(X0, X1) & tptp_fun_____(X1, X2))) | tptp_fun_____(X0, X2))),
% 265.00/265.32 inference(modus_ponens,[status(thm)],[336, 335])).
% 265.00/265.32 tff(338,plain,
% 265.00/265.32 (![X0: $i, X1: $i, X2: $i] : ((~(tptp_fun_____(X0, X1) & tptp_fun_____(X1, X2))) | tptp_fun_____(X0, X2))),
% 265.00/265.32 inference(modus_ponens,[status(thm)],[337, 333])).
% 265.00/265.32 tff(339,plain,(
% 265.00/265.32 ![X0: $i, X1: $i, X2: $i] : ((~(tptp_fun_____(X0, X1) & tptp_fun_____(X1, X2))) | tptp_fun_____(X0, X2))),
% 265.00/265.32 inference(skolemize,[status(sab)],[338])).
% 265.00/265.32 tff(340,plain,
% 265.00/265.32 (![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))),
% 265.00/265.32 inference(modus_ponens,[status(thm)],[339, 332])).
% 265.00/265.32 tff(341,plain,
% 265.00/265.32 (![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))),
% 265.00/265.32 inference(modus_ponens,[status(thm)],[340, 330])).
% 265.00/265.32 tff(342,plain,
% 265.00/265.32 (((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | (tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))) <=> ((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.32 inference(rewrite,[status(thm)],[])).
% 265.00/265.32 tff(343,plain,
% 265.00/265.32 ((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | (tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.32 inference(quant_inst,[status(thm)],[])).
% 265.00/265.32 tff(344,plain,
% 265.00/265.32 ((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.32 inference(modus_ponens,[status(thm)],[343, 342])).
% 265.00/265.32 tff(345,plain,
% 265.00/265.32 (tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.32 inference(unit_resolution,[status(thm)],[344, 341, 169])).
% 265.00/265.32 tff(346,plain,
% 265.00/265.32 (tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.32 inference(unit_resolution,[status(thm)],[345, 329])).
% 265.00/265.32 tff(347,plain,
% 265.00/265.32 (tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.32 inference(modus_ponens,[status(thm)],[346, 316])).
% 265.00/265.32 tff(348,plain,
% 265.00/265.32 ((~(tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) <=> tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))))) | tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.32 inference(tautology,[status(thm)],[])).
% 265.00/265.32 tff(349,plain,
% 265.00/265.32 (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.32 inference(unit_resolution,[status(thm)],[348, 347, 314])).
% 265.00/265.32 tff(350,plain,
% 265.00/265.32 (tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.32 inference(modus_ponens,[status(thm)],[349, 312])).
% 265.00/265.32 tff(351,plain,
% 265.00/265.32 (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))) <=> tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.32 inference(monotonicity,[status(thm)],[309])).
% 265.00/265.32 tff(352,plain,
% 265.00/265.32 ((~![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7)))) | (tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, |'1'|)) <=> tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.32 inference(quant_inst,[status(thm)],[])).
% 265.00/265.32 tff(353,plain,
% 265.00/265.32 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, |'1'|)) <=> tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.32 inference(unit_resolution,[status(thm)],[352, 19])).
% 265.00/265.32 tff(354,plain,
% 265.00/265.32 ((~![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7)))) | (tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))), |'1'|) <=> tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.32 inference(quant_inst,[status(thm)],[])).
% 265.00/265.32 tff(355,plain,
% 265.00/265.32 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))), |'1'|) <=> tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, |'1'|))),
% 265.00/265.32 inference(unit_resolution,[status(thm)],[354, 19])).
% 265.00/265.32 tff(356,plain,
% 265.00/265.32 (tptp_fun____(tptp_fun____(X17!0, X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) = tptp_fun____(X17!0, tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.32 inference(monotonicity,[status(thm)],[257])).
% 265.00/265.32 tff(357,plain,
% 265.00/265.32 ((~![A: $i, B: $i, C: $i] : (tptp_fun____(tptp_fun____(A, B), C) = tptp_fun____(A, tptp_fun____(B, C)))) | (tptp_fun____(tptp_fun____(X17!0, X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) = tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.32 inference(quant_inst,[status(thm)],[])).
% 265.00/265.32 tff(358,plain,
% 265.00/265.32 (tptp_fun____(tptp_fun____(X17!0, X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) = tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.32 inference(unit_resolution,[status(thm)],[357, 268])).
% 265.00/265.32 tff(359,plain,
% 265.00/265.32 (tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) = tptp_fun____(tptp_fun____(X17!0, X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.32 inference(symmetry,[status(thm)],[358])).
% 265.00/265.32 tff(360,plain,
% 265.00/265.32 (tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) = tptp_fun____(X17!0, tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.33 inference(transitivity,[status(thm)],[359, 356])).
% 265.00/265.33 tff(361,plain,
% 265.00/265.33 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))), |'1'|) <=> tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), |'1'|)),
% 265.00/265.33 inference(monotonicity,[status(thm)],[360])).
% 265.00/265.33 tff(362,plain,
% 265.00/265.33 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), |'1'|) <=> tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))), |'1'|)),
% 265.00/265.33 inference(symmetry,[status(thm)],[361])).
% 265.00/265.33 tff(363,plain,
% 265.00/265.33 ((~![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7)))) | (tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), |'1'|) <=> tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.33 inference(quant_inst,[status(thm)],[])).
% 265.00/265.33 tff(364,plain,
% 265.00/265.33 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), |'1'|) <=> tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|))),
% 265.00/265.33 inference(unit_resolution,[status(thm)],[363, 19])).
% 265.00/265.33 tff(365,plain,
% 265.00/265.33 ((~(tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), |'1'|) <=> tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|)))) | tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), |'1'|) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.33 inference(tautology,[status(thm)],[])).
% 265.00/265.33 tff(366,plain,
% 265.00/265.33 ((~(tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), |'1'|) <=> tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|)))) | tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), |'1'|)),
% 265.00/265.33 inference(unit_resolution,[status(thm)],[365, 227])).
% 265.00/265.33 tff(367,plain,
% 265.00/265.33 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), |'1'|)),
% 265.00/265.33 inference(unit_resolution,[status(thm)],[366, 364])).
% 265.00/265.33 tff(368,plain,
% 265.00/265.33 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))), |'1'|)),
% 265.00/265.33 inference(modus_ponens,[status(thm)],[367, 362])).
% 265.00/265.33 tff(369,plain,
% 265.00/265.33 ((~(tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))), |'1'|) <=> tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, |'1'|)))) | (~tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))), |'1'|)) | tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, |'1'|))),
% 265.00/265.33 inference(tautology,[status(thm)],[])).
% 265.00/265.33 tff(370,plain,
% 265.00/265.33 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, |'1'|))),
% 265.00/265.33 inference(unit_resolution,[status(thm)],[369, 368, 355])).
% 265.00/265.33 tff(371,plain,
% 265.00/265.33 ((~(tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, |'1'|)) <=> tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) | (~tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, |'1'|))) | tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.33 inference(tautology,[status(thm)],[])).
% 265.00/265.33 tff(372,plain,
% 265.00/265.33 (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.33 inference(unit_resolution,[status(thm)],[371, 370, 353])).
% 265.00/265.33 tff(373,plain,
% 265.00/265.33 (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.33 inference(modus_ponens,[status(thm)],[372, 351])).
% 265.00/265.33 tff(374,plain,
% 265.00/265.33 (((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) | (tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))) <=> ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) | (tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.33 inference(rewrite,[status(thm)],[])).
% 265.00/265.33 tff(375,plain,
% 265.00/265.33 (((tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))))) <=> ((~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) | (tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.33 inference(rewrite,[status(thm)],[])).
% 265.00/265.33 tff(376,plain,
% 265.00/265.33 (((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))))) <=> ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) | (tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.33 inference(monotonicity,[status(thm)],[375])).
% 265.00/265.33 tff(377,plain,
% 265.00/265.33 (((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))))) <=> ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) | (tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.33 inference(transitivity,[status(thm)],[376, 374])).
% 265.00/265.33 tff(378,plain,
% 265.00/265.33 ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))))),
% 265.00/265.34 inference(quant_inst,[status(thm)],[])).
% 265.00/265.34 tff(379,plain,
% 265.00/265.34 ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) | (tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.34 inference(modus_ponens,[status(thm)],[378, 377])).
% 265.00/265.34 tff(380,plain,
% 265.00/265.34 (tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.34 inference(unit_resolution,[status(thm)],[379, 93, 373, 350])).
% 265.00/265.34 tff(381,plain,
% 265.00/265.34 (tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.34 inference(monotonicity,[status(thm)],[380])).
% 265.00/265.34 tff(382,plain,
% 265.00/265.34 (tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))) = tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.34 inference(symmetry,[status(thm)],[380])).
% 265.00/265.34 tff(383,plain,
% 265.00/265.34 (tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))) = tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))),
% 265.00/265.34 inference(transitivity,[status(thm)],[382, 308])).
% 265.00/265.34 tff(384,plain,
% 265.00/265.34 (tptp_fun______(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.34 inference(monotonicity,[status(thm)],[383, 309])).
% 265.00/265.34 tff(385,plain,
% 265.00/265.34 (tptp_fun______(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) = tptp_fun______(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.34 inference(monotonicity,[status(thm)],[308])).
% 265.00/265.34 tff(386,plain,
% 265.00/265.34 (tptp_fun______(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) = tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0)),
% 265.00/265.34 inference(transitivity,[status(thm)],[385, 384, 381, 253, 10])).
% 265.00/265.34 tff(387,plain,
% 265.00/265.34 (tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) = tptp_fun______(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), X17!0)),
% 265.00/265.34 inference(transitivity,[status(thm)],[195, 148, 145])).
% 265.00/265.34 tff(388,plain,
% 265.00/265.34 (tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))) <=> tptp_fun_____(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), X17!0), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0))),
% 265.00/265.34 inference(monotonicity,[status(thm)],[387, 386])).
% 265.00/265.34 tff(389,plain,
% 265.00/265.34 (tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.34 inference(transitivity,[status(thm)],[388, 217, 214])).
% 265.00/265.34 tff(390,plain,
% 265.00/265.34 ((~![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7)))) | (tptp_fun_____(tptp_fun____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))))),
% 265.00/265.34 inference(quant_inst,[status(thm)],[])).
% 265.00/265.34 tff(391,plain,
% 265.00/265.34 (tptp_fun_____(tptp_fun____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))))),
% 265.00/265.34 inference(unit_resolution,[status(thm)],[390, 19])).
% 265.00/265.34 tff(392,plain,
% 265.00/265.34 ((~![A: $i, B: $i] : (tptp_fun____(A, B) = tptp_fun____(B, A))) | (tptp_fun____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))) = tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.34 inference(quant_inst,[status(thm)],[])).
% 265.00/265.34 tff(393,plain,
% 265.00/265.34 (tptp_fun____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))) = tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.34 inference(unit_resolution,[status(thm)],[392, 161])).
% 265.00/265.34 tff(394,plain,
% 265.00/265.34 (tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))) = tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.34 inference(monotonicity,[status(thm)],[143])).
% 265.00/265.34 tff(395,plain,
% 265.00/265.34 (tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))) = tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.34 inference(symmetry,[status(thm)],[394])).
% 265.00/265.34 tff(396,plain,
% 265.00/265.34 (tptp_fun____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))) = tptp_fun____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.34 inference(monotonicity,[status(thm)],[395])).
% 265.00/265.34 tff(397,plain,
% 265.00/265.34 (tptp_fun____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))) = tptp_fun____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.34 inference(symmetry,[status(thm)],[396])).
% 265.00/265.34 tff(398,plain,
% 265.00/265.34 ((~![A: $i, B: $i, C: $i] : (tptp_fun____(tptp_fun____(A, B), C) = tptp_fun____(A, tptp_fun____(B, C)))) | (tptp_fun____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))) = tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.34 inference(quant_inst,[status(thm)],[])).
% 265.00/265.34 tff(399,plain,
% 265.00/265.34 (tptp_fun____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))) = tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.34 inference(unit_resolution,[status(thm)],[398, 268])).
% 265.00/265.34 tff(400,plain,
% 265.00/265.34 (tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))) = tptp_fun____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.34 inference(symmetry,[status(thm)],[399])).
% 265.00/265.34 tff(401,plain,
% 265.00/265.34 ((~![A: $i, B: $i] : (tptp_fun____(A, B) = tptp_fun____(B, A))) | (tptp_fun____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))) = tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.34 inference(quant_inst,[status(thm)],[])).
% 265.00/265.34 tff(402,plain,
% 265.00/265.34 (tptp_fun____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))) = tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.34 inference(unit_resolution,[status(thm)],[401, 161])).
% 265.00/265.34 tff(403,plain,
% 265.00/265.34 (tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))) = tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.34 inference(monotonicity,[status(thm)],[143, 402])).
% 265.00/265.34 tff(404,plain,
% 265.00/265.34 (tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) = tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.34 inference(symmetry,[status(thm)],[403])).
% 265.00/265.34 tff(405,plain,
% 265.00/265.34 (tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) = tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.35 inference(monotonicity,[status(thm)],[143])).
% 265.00/265.35 tff(406,plain,
% 265.00/265.35 ((~![A: $i, B: $i] : (tptp_fun____(A, B) = tptp_fun____(B, A))) | (tptp_fun____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) = tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.35 inference(quant_inst,[status(thm)],[])).
% 265.00/265.35 tff(407,plain,
% 265.00/265.35 (tptp_fun____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) = tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.35 inference(unit_resolution,[status(thm)],[406, 161])).
% 265.00/265.35 tff(408,plain,
% 265.00/265.35 (tptp_fun____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) = tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.35 inference(transitivity,[status(thm)],[407, 405, 404, 400, 397, 393])).
% 265.00/265.35 tff(409,plain,
% 265.00/265.35 (tptp_fun_____(tptp_fun____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) <=> tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.35 inference(monotonicity,[status(thm)],[408])).
% 265.00/265.35 tff(410,plain,
% 265.00/265.35 (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) <=> tptp_fun_____(tptp_fun____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.35 inference(symmetry,[status(thm)],[409])).
% 265.00/265.35 tff(411,plain,
% 265.00/265.35 ((~![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7)))) | (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) <=> tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))))),
% 265.00/265.35 inference(quant_inst,[status(thm)],[])).
% 265.00/265.35 tff(412,plain,
% 265.00/265.35 (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) <=> tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.35 inference(unit_resolution,[status(thm)],[411, 19])).
% 265.00/265.35 tff(413,plain,
% 265.00/265.35 (tptp_fun____(tptp_fun____(X17!0, X17!0), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))) = tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.35 inference(symmetry,[status(thm)],[272])).
% 265.00/265.35 tff(414,plain,
% 265.00/265.35 (tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))) = tptp_fun____(tptp_fun____(X17!0, X17!0), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.35 inference(symmetry,[status(thm)],[270])).
% 265.00/265.35 tff(415,plain,
% 265.00/265.35 (tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))) = tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.35 inference(transitivity,[status(thm)],[414, 413])).
% 265.00/265.35 tff(416,plain,
% 265.00/265.35 (tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.35 inference(monotonicity,[status(thm)],[415])).
% 265.00/265.35 tff(417,plain,
% 265.00/265.35 (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) <=> tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.35 inference(monotonicity,[status(thm)],[416])).
% 265.00/265.35 tff(418,plain,
% 265.00/265.35 (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) <=> tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.35 inference(symmetry,[status(thm)],[417])).
% 265.00/265.35 tff(419,plain,
% 265.00/265.35 ((~![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7)))) | (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), X17!0), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))) <=> tptp_fun_____(X17!0, tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.35 inference(quant_inst,[status(thm)],[])).
% 265.00/265.35 tff(420,plain,
% 265.00/265.35 (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), X17!0), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))) <=> tptp_fun_____(X17!0, tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.35 inference(unit_resolution,[status(thm)],[419, 19])).
% 265.00/265.35 tff(421,plain,
% 265.00/265.35 ((~![A: $i, B: $i] : (tptp_fun____(A, B) = tptp_fun____(B, A))) | (tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), X17!0) = tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.35 inference(quant_inst,[status(thm)],[])).
% 265.00/265.35 tff(422,plain,
% 265.00/265.35 (tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), X17!0) = tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.35 inference(unit_resolution,[status(thm)],[421, 161])).
% 265.00/265.35 tff(423,plain,
% 265.00/265.35 (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), X17!0), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))) <=> tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.35 inference(monotonicity,[status(thm)],[422])).
% 265.00/265.35 tff(424,plain,
% 265.00/265.35 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))) <=> tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), X17!0), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.35 inference(symmetry,[status(thm)],[423])).
% 265.00/265.35 tff(425,plain,
% 265.00/265.35 (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), X17!0), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.35 inference(modus_ponens,[status(thm)],[282, 424])).
% 265.00/265.35 tff(426,plain,
% 265.00/265.35 ((~(tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), X17!0), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))) <=> tptp_fun_____(X17!0, tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), X17!0), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) | tptp_fun_____(X17!0, tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.35 inference(tautology,[status(thm)],[])).
% 265.00/265.35 tff(427,plain,
% 265.00/265.35 (tptp_fun_____(X17!0, tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.35 inference(unit_resolution,[status(thm)],[426, 425, 420])).
% 265.00/265.35 tff(428,plain,
% 265.00/265.35 (((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | ((~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), X17!0)) | (~tptp_fun_____(X17!0, tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) | tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), X17!0)) | (~tptp_fun_____(X17!0, tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) | tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.35 inference(rewrite,[status(thm)],[])).
% 265.00/265.35 tff(429,plain,
% 265.00/265.35 ((tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), X17!0)) | (~tptp_fun_____(X17!0, tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))) <=> ((~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), X17!0)) | (~tptp_fun_____(X17!0, tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) | tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.35 inference(rewrite,[status(thm)],[])).
% 265.00/265.35 tff(430,plain,
% 265.00/265.35 (((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), X17!0)) | (~tptp_fun_____(X17!0, tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | ((~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), X17!0)) | (~tptp_fun_____(X17!0, tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) | tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))))),
% 265.00/265.36 inference(monotonicity,[status(thm)],[429])).
% 265.00/265.36 tff(431,plain,
% 265.00/265.36 (((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), X17!0)) | (~tptp_fun_____(X17!0, tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), X17!0)) | (~tptp_fun_____(X17!0, tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) | tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.36 inference(transitivity,[status(thm)],[430, 428])).
% 265.00/265.36 tff(432,plain,
% 265.00/265.36 ((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), X17!0)) | (~tptp_fun_____(X17!0, tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))))),
% 265.00/265.36 inference(quant_inst,[status(thm)],[])).
% 265.00/265.36 tff(433,plain,
% 265.00/265.36 ((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), X17!0)) | (~tptp_fun_____(X17!0, tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) | tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.36 inference(modus_ponens,[status(thm)],[432, 431])).
% 265.00/265.36 tff(434,plain,
% 265.00/265.36 ((~tptp_fun_____(X17!0, tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) | tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.36 inference(unit_resolution,[status(thm)],[433, 341, 52])).
% 265.00/265.36 tff(435,plain,
% 265.00/265.36 (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.36 inference(unit_resolution,[status(thm)],[434, 427])).
% 265.00/265.36 tff(436,plain,
% 265.00/265.36 (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.36 inference(modus_ponens,[status(thm)],[435, 418])).
% 265.00/265.36 tff(437,plain,
% 265.00/265.36 ((~(tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) <=> tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))))) | tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))))),
% 265.00/265.36 inference(tautology,[status(thm)],[])).
% 265.00/265.36 tff(438,plain,
% 265.00/265.36 (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.36 inference(unit_resolution,[status(thm)],[437, 436, 412])).
% 265.00/265.36 tff(439,plain,
% 265.00/265.36 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) <=> tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.36 inference(monotonicity,[status(thm)],[415])).
% 265.00/265.36 tff(440,plain,
% 265.00/265.36 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) <=> tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.36 inference(symmetry,[status(thm)],[439])).
% 265.00/265.36 tff(441,plain,
% 265.00/265.36 ((~![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7)))) | (tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) <=> tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))))),
% 265.00/265.36 inference(quant_inst,[status(thm)],[])).
% 265.00/265.36 tff(442,plain,
% 265.00/265.36 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) <=> tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.36 inference(unit_resolution,[status(thm)],[441, 19])).
% 265.00/265.36 tff(443,plain,
% 265.00/265.36 (((~![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))) | ((~tptp_fun_____(X17!0, X17!0)) | tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))) <=> ((~![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))) | (~tptp_fun_____(X17!0, X17!0)) | tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.36 inference(rewrite,[status(thm)],[])).
% 265.00/265.36 tff(444,plain,
% 265.00/265.36 ((~![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))) | ((~tptp_fun_____(X17!0, X17!0)) | tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.36 inference(quant_inst,[status(thm)],[])).
% 265.00/265.36 tff(445,plain,
% 265.00/265.36 ((~![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))) | (~tptp_fun_____(X17!0, X17!0)) | tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.36 inference(modus_ponens,[status(thm)],[444, 443])).
% 265.00/265.36 tff(446,plain,
% 265.00/265.36 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.36 inference(unit_resolution,[status(thm)],[445, 74, 34])).
% 265.00/265.36 tff(447,plain,
% 265.00/265.36 ((~(tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) <=> tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))))) | (~tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) | tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.36 inference(tautology,[status(thm)],[])).
% 265.00/265.36 tff(448,plain,
% 265.00/265.36 ((~(tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) <=> tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))))) | tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.36 inference(unit_resolution,[status(thm)],[447, 446])).
% 265.00/265.36 tff(449,plain,
% 265.00/265.36 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.36 inference(unit_resolution,[status(thm)],[448, 442])).
% 265.00/265.36 tff(450,plain,
% 265.00/265.36 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.36 inference(modus_ponens,[status(thm)],[449, 440])).
% 265.00/265.36 tff(451,plain,
% 265.00/265.36 (((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | ((~tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) | tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | (~tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) | tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))))),
% 265.00/265.36 inference(rewrite,[status(thm)],[])).
% 265.00/265.36 tff(452,plain,
% 265.00/265.36 ((tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) | (~tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))))) <=> ((~tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) | tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))))),
% 265.00/265.37 inference(rewrite,[status(thm)],[])).
% 265.00/265.37 tff(453,plain,
% 265.00/265.37 (((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) | (~tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | ((~tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) | tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))))),
% 265.00/265.37 inference(monotonicity,[status(thm)],[452])).
% 265.00/265.37 tff(454,plain,
% 265.00/265.37 (((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) | (~tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | (~tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) | tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))))),
% 265.00/265.37 inference(transitivity,[status(thm)],[453, 451])).
% 265.00/265.37 tff(455,plain,
% 265.00/265.37 ((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) | (~tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))))),
% 265.00/265.37 inference(quant_inst,[status(thm)],[])).
% 265.00/265.37 tff(456,plain,
% 265.00/265.37 ((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | (~tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) | tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.37 inference(modus_ponens,[status(thm)],[455, 454])).
% 265.00/265.37 tff(457,plain,
% 265.00/265.37 ((~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) | tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.37 inference(unit_resolution,[status(thm)],[456, 341, 450])).
% 265.00/265.37 tff(458,plain,
% 265.00/265.37 (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.37 inference(unit_resolution,[status(thm)],[457, 438])).
% 265.00/265.37 tff(459,plain,
% 265.00/265.37 (tptp_fun_____(tptp_fun____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.37 inference(modus_ponens,[status(thm)],[458, 410])).
% 265.00/265.37 tff(460,plain,
% 265.00/265.37 ((~(tptp_fun_____(tptp_fun____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) <=> tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))))) | (~tptp_fun_____(tptp_fun____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))) | tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))))),
% 265.00/265.37 inference(tautology,[status(thm)],[])).
% 265.00/265.37 tff(461,plain,
% 265.00/265.37 (tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))))),
% 265.00/265.37 inference(unit_resolution,[status(thm)],[460, 459, 391])).
% 265.00/265.37 tff(462,plain,
% 265.00/265.37 (tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.37 inference(modus_ponens,[status(thm)],[461, 389])).
% 265.00/265.37 tff(463,plain,
% 265.00/265.37 (((~![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))) | ((~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))))) <=> ((~![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))))),
% 265.00/265.37 inference(rewrite,[status(thm)],[])).
% 265.00/265.37 tff(464,plain,
% 265.00/265.37 ((~![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))) | ((~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))))),
% 265.00/265.37 inference(quant_inst,[status(thm)],[])).
% 265.00/265.37 tff(465,plain,
% 265.00/265.37 ((~![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))))),
% 265.00/265.37 inference(modus_ponens,[status(thm)],[464, 463])).
% 265.00/265.37 tff(466,plain,
% 265.00/265.37 ((~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))))),
% 265.00/265.38 inference(unit_resolution,[status(thm)],[465, 74])).
% 265.00/265.38 tff(467,plain,
% 265.00/265.38 (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))))),
% 265.00/265.38 inference(unit_resolution,[status(thm)],[466, 462])).
% 265.00/265.38 tff(468,plain,
% 265.00/265.38 (tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.38 inference(modus_ponens,[status(thm)],[467, 212])).
% 265.00/265.38 tff(469,plain,
% 265.00/265.38 (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) <=> tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))),
% 265.00/265.38 inference(monotonicity,[status(thm)],[196])).
% 265.00/265.38 tff(470,plain,
% 265.00/265.38 (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) <=> tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))),
% 265.00/265.38 inference(symmetry,[status(thm)],[469])).
% 265.00/265.38 tff(471,plain,
% 265.00/265.38 (tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))) <=> tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.38 inference(monotonicity,[status(thm)],[288])).
% 265.00/265.38 tff(472,plain,
% 265.00/265.38 (tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) <=> tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.38 inference(symmetry,[status(thm)],[471])).
% 265.00/265.38 tff(473,plain,
% 265.00/265.38 (tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)) = tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.38 inference(transitivity,[status(thm)],[309, 288])).
% 265.00/265.38 tff(474,plain,
% 265.00/265.38 (tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))) <=> tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.38 inference(monotonicity,[status(thm)],[473])).
% 265.00/265.38 tff(475,plain,
% 265.00/265.38 ((~![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7)))) | (tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)), |'1'|) <=> tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.38 inference(quant_inst,[status(thm)],[])).
% 265.00/265.38 tff(476,plain,
% 265.00/265.38 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)), |'1'|) <=> tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, |'1'|))),
% 265.00/265.38 inference(unit_resolution,[status(thm)],[475, 19])).
% 265.00/265.38 tff(477,plain,
% 265.00/265.38 ((~(tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)), |'1'|) <=> tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, |'1'|)))) | tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)), |'1'|) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.38 inference(tautology,[status(thm)],[])).
% 265.00/265.38 tff(478,plain,
% 265.00/265.38 ((~(tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)), |'1'|) <=> tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, |'1'|)))) | tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)), |'1'|)),
% 265.00/265.38 inference(unit_resolution,[status(thm)],[477, 128])).
% 265.00/265.38 tff(479,plain,
% 265.00/265.38 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)), |'1'|)),
% 265.00/265.38 inference(unit_resolution,[status(thm)],[478, 476])).
% 265.00/265.38 tff(480,plain,
% 265.00/265.38 (((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | ((~tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)), |'1'|)) | tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|)))) <=> ((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | (~tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)), |'1'|)) | tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.38 inference(rewrite,[status(thm)],[])).
% 265.00/265.38 tff(481,plain,
% 265.00/265.38 ((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | ((~tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)), |'1'|)) | tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.38 inference(quant_inst,[status(thm)],[])).
% 265.00/265.38 tff(482,plain,
% 265.00/265.38 ((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | (~tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)), |'1'|)) | tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|))),
% 265.00/265.38 inference(modus_ponens,[status(thm)],[481, 480])).
% 265.00/265.38 tff(483,plain,
% 265.00/265.38 (tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|))),
% 265.00/265.38 inference(unit_resolution,[status(thm)],[482, 44, 479])).
% 265.00/265.38 tff(484,plain,
% 265.00/265.38 ((~![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7)))) | (tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))) <=> tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.38 inference(quant_inst,[status(thm)],[])).
% 265.00/265.38 tff(485,plain,
% 265.00/265.38 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))) <=> tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.38 inference(unit_resolution,[status(thm)],[484, 19])).
% 265.00/265.38 tff(486,plain,
% 265.00/265.38 (((~![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))) | ((~tptp_fun_____(X17!0, X17!0)) | tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))))) <=> ((~![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))) | (~tptp_fun_____(X17!0, X17!0)) | tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.38 inference(rewrite,[status(thm)],[])).
% 265.00/265.38 tff(487,plain,
% 265.00/265.38 ((~![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))) | ((~tptp_fun_____(X17!0, X17!0)) | tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.38 inference(quant_inst,[status(thm)],[])).
% 265.00/265.38 tff(488,plain,
% 265.00/265.38 ((~![X8: $i, X9: $i, X10: $i] : ((~tptp_fun_____(X8, X9)) | tptp_fun_____(tptp_fun____(X8, X10), tptp_fun____(X9, X10)))) | (~tptp_fun_____(X17!0, X17!0)) | tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.38 inference(modus_ponens,[status(thm)],[487, 486])).
% 265.00/265.38 tff(489,plain,
% 265.00/265.38 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.38 inference(unit_resolution,[status(thm)],[488, 74, 34])).
% 265.00/265.38 tff(490,plain,
% 265.00/265.38 ((~(tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))) <=> tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)))))) | (~tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)))) | tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.38 inference(tautology,[status(thm)],[])).
% 265.00/265.38 tff(491,plain,
% 265.00/265.38 ((~(tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))) <=> tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)))))) | tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.38 inference(unit_resolution,[status(thm)],[490, 489])).
% 265.00/265.38 tff(492,plain,
% 265.00/265.38 (tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.38 inference(unit_resolution,[status(thm)],[491, 485])).
% 265.00/265.38 tff(493,plain,
% 265.00/265.38 (((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))))) | (tptp_fun______(X17!0, |'1'|) = tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|))))) <=> ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))))) | (tptp_fun______(X17!0, |'1'|) = tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.38 inference(rewrite,[status(thm)],[])).
% 265.00/265.38 tff(494,plain,
% 265.00/265.38 (((tptp_fun______(X17!0, |'1'|) = tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|)))) <=> ((~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))))) | (tptp_fun______(X17!0, |'1'|) = tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.38 inference(rewrite,[status(thm)],[])).
% 265.00/265.38 tff(495,plain,
% 265.00/265.38 (((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((tptp_fun______(X17!0, |'1'|) = tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|))))) <=> ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))))) | (tptp_fun______(X17!0, |'1'|) = tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|)))))),
% 265.00/265.38 inference(monotonicity,[status(thm)],[494])).
% 265.00/265.38 tff(496,plain,
% 265.00/265.38 (((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((tptp_fun______(X17!0, |'1'|) = tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|))))) <=> ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))))) | (tptp_fun______(X17!0, |'1'|) = tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.38 inference(transitivity,[status(thm)],[495, 493])).
% 265.00/265.38 tff(497,plain,
% 265.00/265.38 ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((tptp_fun______(X17!0, |'1'|) = tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.38 inference(quant_inst,[status(thm)],[])).
% 265.00/265.38 tff(498,plain,
% 265.00/265.38 ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))))) | (tptp_fun______(X17!0, |'1'|) = tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.38 inference(modus_ponens,[status(thm)],[497, 496])).
% 265.00/265.38 tff(499,plain,
% 265.00/265.38 (tptp_fun______(X17!0, |'1'|) = tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.38 inference(unit_resolution,[status(thm)],[498, 93, 492, 483])).
% 265.00/265.38 tff(500,plain,
% 265.00/265.38 (tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))) = tptp_fun______(X17!0, |'1'|)),
% 265.00/265.38 inference(symmetry,[status(thm)],[499])).
% 265.00/265.38 tff(501,plain,
% 265.00/265.38 (tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))) <=> tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.39 inference(monotonicity,[status(thm)],[500])).
% 265.00/265.39 tff(502,plain,
% 265.00/265.39 (tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))) <=> tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.39 inference(transitivity,[status(thm)],[501, 474, 472])).
% 265.00/265.39 tff(503,plain,
% 265.00/265.39 ((~![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7)))) | (tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))), |'1'|) <=> tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.39 inference(quant_inst,[status(thm)],[])).
% 265.00/265.39 tff(504,plain,
% 265.00/265.39 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))), |'1'|) <=> tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))),
% 265.00/265.39 inference(unit_resolution,[status(thm)],[503, 19])).
% 265.00/265.39 tff(505,plain,
% 265.00/265.39 (tptp_fun____(tptp_fun____(X17!0, X17!0), tptp_fun______(X17!0, |'1'|)) = tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))),
% 265.00/265.39 inference(monotonicity,[status(thm)],[257])).
% 265.00/265.39 tff(506,plain,
% 265.00/265.39 ((~![A: $i, B: $i, C: $i] : (tptp_fun____(tptp_fun____(A, B), C) = tptp_fun____(A, tptp_fun____(B, C)))) | (tptp_fun____(tptp_fun____(X17!0, X17!0), tptp_fun______(X17!0, |'1'|)) = tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.39 inference(quant_inst,[status(thm)],[])).
% 265.00/265.39 tff(507,plain,
% 265.00/265.39 (tptp_fun____(tptp_fun____(X17!0, X17!0), tptp_fun______(X17!0, |'1'|)) = tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.39 inference(unit_resolution,[status(thm)],[506, 268])).
% 265.00/265.39 tff(508,plain,
% 265.00/265.39 (tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))) = tptp_fun____(tptp_fun____(X17!0, X17!0), tptp_fun______(X17!0, |'1'|))),
% 265.00/265.39 inference(symmetry,[status(thm)],[507])).
% 265.00/265.39 tff(509,plain,
% 265.00/265.39 (tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))) = tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))),
% 265.00/265.39 inference(transitivity,[status(thm)],[508, 505])).
% 265.00/265.39 tff(510,plain,
% 265.00/265.39 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))), |'1'|) <=> tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)), |'1'|)),
% 265.00/265.39 inference(monotonicity,[status(thm)],[509])).
% 265.00/265.39 tff(511,plain,
% 265.00/265.39 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)), |'1'|) <=> tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))), |'1'|)),
% 265.00/265.39 inference(symmetry,[status(thm)],[510])).
% 265.00/265.39 tff(512,plain,
% 265.00/265.39 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))), |'1'|)),
% 265.00/265.39 inference(modus_ponens,[status(thm)],[479, 511])).
% 265.00/265.39 tff(513,plain,
% 265.00/265.39 ((~(tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))), |'1'|) <=> tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | (~tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))), |'1'|)) | tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))),
% 265.00/265.39 inference(tautology,[status(thm)],[])).
% 265.00/265.39 tff(514,plain,
% 265.00/265.39 (tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))),
% 265.00/265.39 inference(unit_resolution,[status(thm)],[513, 512, 504])).
% 265.00/265.39 tff(515,plain,
% 265.00/265.39 (((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | ((~tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))) | tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) <=> ((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | (~tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))) | tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.39 inference(rewrite,[status(thm)],[])).
% 265.00/265.39 tff(516,plain,
% 265.00/265.39 ((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | ((~tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))) | tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.39 inference(quant_inst,[status(thm)],[])).
% 265.00/265.39 tff(517,plain,
% 265.00/265.39 ((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | (~tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))) | tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.39 inference(modus_ponens,[status(thm)],[516, 515])).
% 265.00/265.39 tff(518,plain,
% 265.00/265.39 ((~tptp_fun_____(tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))) | tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.39 inference(unit_resolution,[status(thm)],[517, 44])).
% 265.00/265.39 tff(519,plain,
% 265.00/265.39 (tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.39 inference(unit_resolution,[status(thm)],[518, 514])).
% 265.00/265.39 tff(520,plain,
% 265.00/265.39 (tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))),
% 265.00/265.39 inference(modus_ponens,[status(thm)],[519, 502])).
% 265.00/265.39 tff(521,plain,
% 265.00/265.39 (((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | ((~tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), |'1'|)) | tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun______(X17!0, |'1'|)))) <=> ((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | (~tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), |'1'|)) | tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.39 inference(rewrite,[status(thm)],[])).
% 265.00/265.39 tff(522,plain,
% 265.00/265.39 ((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | ((~tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), |'1'|)) | tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.39 inference(quant_inst,[status(thm)],[])).
% 265.00/265.39 tff(523,plain,
% 265.00/265.39 ((~![X14: $i, X15: $i, X16: $i] : ((~tptp_fun_____(X14, X15)) | tptp_fun_____(tptp_fun______(X16, X14), tptp_fun______(X16, X15)))) | (~tptp_fun_____(tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))), |'1'|)) | tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun______(X17!0, |'1'|))),
% 265.00/265.39 inference(modus_ponens,[status(thm)],[522, 521])).
% 265.00/265.39 tff(524,plain,
% 265.00/265.39 (tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun______(X17!0, |'1'|))),
% 265.00/265.39 inference(unit_resolution,[status(thm)],[523, 44, 325])).
% 265.00/265.39 tff(525,plain,
% 265.00/265.39 (((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))) | (tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun______(X17!0, |'1'|)))) <=> ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))) | (tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.39 inference(rewrite,[status(thm)],[])).
% 265.00/265.39 tff(526,plain,
% 265.00/265.39 (((tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun______(X17!0, |'1'|)) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))))))) <=> ((~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))) | (tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.39 inference(rewrite,[status(thm)],[])).
% 265.00/265.39 tff(527,plain,
% 265.00/265.39 (((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun______(X17!0, |'1'|)) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))))) <=> ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))) | (tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun______(X17!0, |'1'|))))),
% 265.00/265.39 inference(monotonicity,[status(thm)],[526])).
% 265.00/265.39 tff(528,plain,
% 265.00/265.39 (((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun______(X17!0, |'1'|)) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))))) <=> ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))) | (tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun______(X17!0, |'1'|)))),
% 265.00/265.39 inference(transitivity,[status(thm)],[527, 525])).
% 265.00/265.39 tff(529,plain,
% 265.00/265.39 ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun______(X17!0, |'1'|)) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))))),
% 265.00/265.39 inference(quant_inst,[status(thm)],[])).
% 265.00/265.39 tff(530,plain,
% 265.00/265.39 ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | (~tptp_fun_____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))))) | (tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun______(X17!0, |'1'|))),
% 265.00/265.39 inference(modus_ponens,[status(thm)],[529, 528])).
% 265.00/265.39 tff(531,plain,
% 265.00/265.39 (tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))) = tptp_fun______(X17!0, |'1'|)),
% 265.00/265.39 inference(unit_resolution,[status(thm)],[530, 93, 524, 520])).
% 265.00/265.39 tff(532,plain,
% 265.00/265.39 (tptp_fun______(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), X17!0) = tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)),
% 265.00/265.39 inference(monotonicity,[status(thm)],[531])).
% 265.00/265.39 tff(533,plain,
% 265.00/265.39 (tptp_fun______(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), X17!0) = tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))),
% 265.00/265.39 inference(transitivity,[status(thm)],[532, 142])).
% 265.00/265.39 tff(534,plain,
% 265.00/265.39 (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), X17!0)) <=> tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, |'1'|), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))),
% 265.00/265.39 inference(monotonicity,[status(thm)],[533])).
% 265.00/265.39 tff(535,plain,
% 265.00/265.39 (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), X17!0)) <=> tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))),
% 265.10/265.40 inference(transitivity,[status(thm)],[534, 470])).
% 265.10/265.40 tff(536,plain,
% 265.10/265.40 ((~![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7)))) | (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), X17!0) <=> tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), X17!0)))),
% 265.10/265.40 inference(quant_inst,[status(thm)],[])).
% 265.10/265.40 tff(537,plain,
% 265.10/265.40 (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), X17!0) <=> tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), X17!0))),
% 265.10/265.40 inference(unit_resolution,[status(thm)],[536, 19])).
% 265.10/265.40 tff(538,plain,
% 265.10/265.40 (tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) = tptp_fun____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)))),
% 265.10/265.40 inference(symmetry,[status(thm)],[393])).
% 265.10/265.40 tff(539,plain,
% 265.10/265.40 (tptp_fun____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) = tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 265.10/265.40 inference(monotonicity,[status(thm)],[308])).
% 265.10/265.40 tff(540,plain,
% 265.10/265.40 (tptp_fun____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) = tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 265.10/265.40 inference(transitivity,[status(thm)],[539, 538, 396, 399, 403])).
% 265.10/265.40 tff(541,plain,
% 265.10/265.40 (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), X17!0) <=> tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), X17!0)),
% 265.10/265.40 inference(monotonicity,[status(thm)],[540])).
% 265.10/265.40 tff(542,plain,
% 265.10/265.40 (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), X17!0) <=> tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), X17!0)),
% 265.10/265.40 inference(symmetry,[status(thm)],[541])).
% 265.10/265.40 tff(543,plain,
% 265.10/265.40 ((~![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7)))) | (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) <=> tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))))),
% 265.10/265.40 inference(quant_inst,[status(thm)],[])).
% 265.10/265.40 tff(544,plain,
% 265.10/265.40 (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) <=> tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))),
% 265.10/265.40 inference(unit_resolution,[status(thm)],[543, 19])).
% 265.10/265.40 tff(545,plain,
% 265.10/265.40 ((~![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7)))) | (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) <=> tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))))),
% 265.10/265.40 inference(quant_inst,[status(thm)],[])).
% 265.10/265.40 tff(546,plain,
% 265.10/265.40 (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) <=> tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))),
% 265.10/265.40 inference(unit_resolution,[status(thm)],[545, 19])).
% 265.10/265.40 tff(547,plain,
% 265.10/265.40 (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) <=> tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))),
% 265.10/265.40 inference(monotonicity,[status(thm)],[163])).
% 265.10/265.40 tff(548,plain,
% 265.10/265.40 (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) <=> tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))),
% 265.10/265.40 inference(symmetry,[status(thm)],[547])).
% 265.10/265.40 tff(549,plain,
% 265.10/265.40 (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))),
% 265.10/265.40 inference(modus_ponens,[status(thm)],[132, 548])).
% 265.10/265.40 tff(550,plain,
% 265.10/265.40 ((~(tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) <=> tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(X17!0, |'1'|)), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))),
% 265.10/265.40 inference(tautology,[status(thm)],[])).
% 265.10/265.40 tff(551,plain,
% 265.10/265.40 (tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))),
% 265.10/265.40 inference(unit_resolution,[status(thm)],[550, 549, 546])).
% 265.10/265.40 tff(552,plain,
% 265.10/265.40 (((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | ((~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))) | tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))))) <=> ((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))) | tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))))),
% 265.10/265.40 inference(rewrite,[status(thm)],[])).
% 265.10/265.40 tff(553,plain,
% 265.10/265.40 ((tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))))) <=> ((~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))) | tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))))),
% 265.10/265.41 inference(rewrite,[status(thm)],[])).
% 265.10/265.41 tff(554,plain,
% 265.10/265.41 (((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | ((~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))) | tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))))),
% 265.10/265.41 inference(monotonicity,[status(thm)],[553])).
% 265.10/265.41 tff(555,plain,
% 265.10/265.41 (((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))) | tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))))),
% 265.10/265.41 inference(transitivity,[status(thm)],[554, 552])).
% 265.10/265.41 tff(556,plain,
% 265.10/265.41 ((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))))),
% 265.10/265.41 inference(quant_inst,[status(thm)],[])).
% 265.10/265.41 tff(557,plain,
% 265.10/265.41 ((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(X17!0, |'1'|))) | (~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))) | tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))),
% 265.10/265.41 inference(modus_ponens,[status(thm)],[556, 555])).
% 265.10/265.41 tff(558,plain,
% 265.10/265.41 ((~tptp_fun_____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))) | tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))),
% 265.10/265.41 inference(unit_resolution,[status(thm)],[557, 341, 227])).
% 265.10/265.41 tff(559,plain,
% 265.10/265.41 (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))),
% 265.10/265.41 inference(unit_resolution,[status(thm)],[558, 551])).
% 265.10/265.41 tff(560,plain,
% 265.10/265.41 ((~(tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) <=> tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))))) | tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))))),
% 265.10/265.41 inference(tautology,[status(thm)],[])).
% 265.10/265.41 tff(561,plain,
% 265.10/265.41 ((~(tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) <=> tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))))) | tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))),
% 265.10/265.41 inference(unit_resolution,[status(thm)],[560, 559])).
% 265.10/265.41 tff(562,plain,
% 265.10/265.41 (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))),
% 265.10/265.41 inference(unit_resolution,[status(thm)],[561, 544])).
% 265.10/265.41 tff(563,plain,
% 265.10/265.41 (((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | ((~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), X17!0)) | (~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), X17!0))) <=> ((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), X17!0)) | (~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), X17!0))),
% 265.10/265.41 inference(rewrite,[status(thm)],[])).
% 265.10/265.41 tff(564,plain,
% 265.10/265.41 ((tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), X17!0) | (~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), X17!0))) <=> ((~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), X17!0)) | (~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), X17!0))),
% 265.10/265.41 inference(rewrite,[status(thm)],[])).
% 265.10/265.41 tff(565,plain,
% 265.10/265.41 (((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), X17!0) | (~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), X17!0)))) <=> ((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | ((~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), X17!0)) | (~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), X17!0)))),
% 265.10/265.41 inference(monotonicity,[status(thm)],[564])).
% 265.10/265.41 tff(566,plain,
% 265.10/265.41 (((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), X17!0) | (~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), X17!0)))) <=> ((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), X17!0)) | (~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), X17!0))),
% 265.10/265.42 inference(transitivity,[status(thm)],[565, 563])).
% 265.10/265.42 tff(567,plain,
% 265.10/265.42 ((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), X17!0) | (~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), X17!0)))),
% 265.10/265.42 inference(quant_inst,[status(thm)],[])).
% 265.10/265.42 tff(568,plain,
% 265.10/265.42 ((~![X0: $i, X1: $i, X2: $i] : (tptp_fun_____(X0, X2) | (~tptp_fun_____(X0, X1)) | (~tptp_fun_____(X1, X2)))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), X17!0)) | (~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), tptp_fun____(tptp_fun______(X17!0, |'1'|), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), X17!0)),
% 265.10/265.42 inference(modus_ponens,[status(thm)],[567, 566])).
% 265.10/265.42 tff(569,plain,
% 265.10/265.42 (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), X17!0)),
% 265.10/265.42 inference(unit_resolution,[status(thm)],[568, 341, 107, 562])).
% 265.10/265.42 tff(570,plain,
% 265.10/265.42 (tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), X17!0)),
% 265.10/265.42 inference(modus_ponens,[status(thm)],[569, 542])).
% 265.10/265.42 tff(571,plain,
% 265.10/265.42 ((~(tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), X17!0) <=> tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), X17!0)))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))), X17!0)) | tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), X17!0))),
% 265.10/265.42 inference(tautology,[status(thm)],[])).
% 265.10/265.42 tff(572,plain,
% 265.10/265.42 (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun____(X17!0, tptp_fun____(X17!0, tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|))))), X17!0))),
% 265.10/265.42 inference(unit_resolution,[status(thm)],[571, 570, 537])).
% 265.10/265.42 tff(573,plain,
% 265.10/265.42 (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))),
% 265.10/265.42 inference(modus_ponens,[status(thm)],[572, 535])).
% 265.10/265.42 tff(574,plain,
% 265.10/265.42 (((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) | (tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))) <=> ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) | (tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))),
% 265.10/265.42 inference(rewrite,[status(thm)],[])).
% 265.10/265.42 tff(575,plain,
% 265.10/265.42 (((tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))) <=> ((~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) | (tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))),
% 265.10/265.42 inference(rewrite,[status(thm)],[])).
% 265.10/265.42 tff(576,plain,
% 265.10/265.42 (((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))))) <=> ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) | (tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))))),
% 265.10/265.42 inference(monotonicity,[status(thm)],[575])).
% 265.10/265.42 tff(577,plain,
% 265.10/265.42 (((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))))) <=> ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) | (tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))))),
% 265.10/265.42 inference(transitivity,[status(thm)],[576, 574])).
% 265.10/265.42 tff(578,plain,
% 265.10/265.42 ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))))),
% 265.10/265.42 inference(quant_inst,[status(thm)],[])).
% 265.10/265.42 tff(579,plain,
% 265.10/265.42 ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | (~tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) | (tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)))),
% 265.10/265.43 inference(modus_ponens,[status(thm)],[578, 577])).
% 265.10/265.43 tff(580,plain,
% 265.10/265.43 (tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)), tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0))),
% 265.10/265.43 inference(unit_resolution,[status(thm)],[579, 93, 573, 468])).
% 265.10/265.43 tff(581,plain,
% 265.10/265.43 (tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))) = tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0)),
% 265.10/265.43 inference(transitivity,[status(thm)],[580, 196, 143])).
% 265.10/265.43 tff(582,plain,
% 265.10/265.43 (tptp_fun______(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) = tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 265.10/265.43 inference(monotonicity,[status(thm)],[581])).
% 265.10/265.43 tff(583,plain,
% 265.10/265.43 (tptp_fun______(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) = tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))),
% 265.10/265.43 inference(transitivity,[status(thm)],[582, 102])).
% 265.10/265.43 tff(584,plain,
% 265.10/265.43 (tptp_fun_____(|'0'|, tptp_fun______(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) <=> tptp_fun_____(|'0'|, tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))),
% 265.10/265.43 inference(monotonicity,[status(thm)],[583])).
% 265.10/265.43 tff(585,plain,
% 265.10/265.43 ((~![X5: $i, X6: $i, X7: $i] : (tptp_fun_____(tptp_fun____(X5, X6), X7) <=> tptp_fun_____(X6, tptp_fun______(X5, X7)))) | (tptp_fun_____(tptp_fun____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), |'0'|), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) <=> tptp_fun_____(|'0'|, tptp_fun______(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))))),
% 265.10/265.43 inference(quant_inst,[status(thm)],[])).
% 265.10/265.43 tff(586,plain,
% 265.10/265.43 (tptp_fun_____(tptp_fun____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), |'0'|), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) <=> tptp_fun_____(|'0'|, tptp_fun______(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))),
% 265.10/265.43 inference(unit_resolution,[status(thm)],[585, 19])).
% 265.10/265.43 tff(587,plain,
% 265.10/265.43 (^[A: $i] : refl((tptp_fun____(A, |'0'|) = A) <=> (tptp_fun____(A, |'0'|) = A))),
% 265.10/265.43 inference(bind,[status(th)],[])).
% 265.10/265.43 tff(588,plain,
% 265.10/265.43 (![A: $i] : (tptp_fun____(A, |'0'|) = A) <=> ![A: $i] : (tptp_fun____(A, |'0'|) = A)),
% 265.10/265.43 inference(quant_intro,[status(thm)],[587])).
% 265.10/265.43 tff(589,plain,
% 265.10/265.43 (![A: $i] : (tptp_fun____(A, |'0'|) = A) <=> ![A: $i] : (tptp_fun____(A, |'0'|) = A)),
% 265.10/265.43 inference(rewrite,[status(thm)],[])).
% 265.10/265.43 tff(590,axiom,(![A: $i] : (tptp_fun____(A, |'0'|) = A)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_03')).
% 265.10/265.43 tff(591,plain,
% 265.10/265.43 (![A: $i] : (tptp_fun____(A, |'0'|) = A)),
% 265.10/265.43 inference(modus_ponens,[status(thm)],[590, 589])).
% 265.10/265.43 tff(592,plain,(
% 265.10/265.43 ![A: $i] : (tptp_fun____(A, |'0'|) = A)),
% 265.10/265.43 inference(skolemize,[status(sab)],[591])).
% 265.10/265.43 tff(593,plain,
% 265.10/265.43 (![A: $i] : (tptp_fun____(A, |'0'|) = A)),
% 265.10/265.43 inference(modus_ponens,[status(thm)],[592, 588])).
% 265.10/265.43 tff(594,plain,
% 265.10/265.43 ((~![A: $i] : (tptp_fun____(A, |'0'|) = A)) | (tptp_fun____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), |'0'|) = tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 265.10/265.43 inference(quant_inst,[status(thm)],[])).
% 265.10/265.43 tff(595,plain,
% 265.10/265.43 (tptp_fun____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), |'0'|) = tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))),
% 265.10/265.43 inference(unit_resolution,[status(thm)],[594, 593])).
% 265.10/265.43 tff(596,plain,
% 265.10/265.43 (tptp_fun_____(tptp_fun____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), |'0'|), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) <=> tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 265.10/265.43 inference(monotonicity,[status(thm)],[595])).
% 265.10/265.43 tff(597,plain,
% 265.10/265.43 (tptp_fun_____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) <=> tptp_fun_____(tptp_fun____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), |'0'|), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 265.10/265.43 inference(symmetry,[status(thm)],[596])).
% 265.10/265.43 tff(598,plain,
% 265.10/265.43 (tptp_fun_____(tptp_fun____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), |'0'|), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))),
% 265.10/265.43 inference(modus_ponens,[status(thm)],[78, 597])).
% 265.10/265.43 tff(599,plain,
% 265.10/265.43 ((~(tptp_fun_____(tptp_fun____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), |'0'|), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) <=> tptp_fun_____(|'0'|, tptp_fun______(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))))) | (~tptp_fun_____(tptp_fun____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), |'0'|), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) | tptp_fun_____(|'0'|, tptp_fun______(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))),
% 265.10/265.43 inference(tautology,[status(thm)],[])).
% 265.10/265.43 tff(600,plain,
% 265.10/265.43 ((~(tptp_fun_____(tptp_fun____(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), |'0'|), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) <=> tptp_fun_____(|'0'|, tptp_fun______(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))))) | tptp_fun_____(|'0'|, tptp_fun______(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))),
% 265.10/265.43 inference(unit_resolution,[status(thm)],[599, 598])).
% 265.10/265.43 tff(601,plain,
% 265.10/265.43 (tptp_fun_____(|'0'|, tptp_fun______(tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))), tptp_fun____(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))),
% 265.10/265.43 inference(unit_resolution,[status(thm)],[600, 586])).
% 265.10/265.43 tff(602,plain,
% 265.10/265.43 (tptp_fun_____(|'0'|, tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))),
% 265.10/265.43 inference(modus_ponens,[status(thm)],[601, 584])).
% 265.10/265.43 tff(603,plain,
% 265.10/265.43 (^[A: $i] : refl(tptp_fun_____(A, |'0'|) <=> tptp_fun_____(A, |'0'|))),
% 265.10/265.43 inference(bind,[status(th)],[])).
% 265.10/265.43 tff(604,plain,
% 265.10/265.43 (![A: $i] : tptp_fun_____(A, |'0'|) <=> ![A: $i] : tptp_fun_____(A, |'0'|)),
% 265.10/265.43 inference(quant_intro,[status(thm)],[603])).
% 265.10/265.43 tff(605,plain,
% 265.10/265.43 (![A: $i] : tptp_fun_____(A, |'0'|) <=> ![A: $i] : tptp_fun_____(A, |'0'|)),
% 265.10/265.43 inference(rewrite,[status(thm)],[])).
% 265.10/265.43 tff(606,axiom,(![A: $i] : tptp_fun_____(A, |'0'|)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','sos_08')).
% 265.10/265.43 tff(607,plain,
% 265.10/265.43 (![A: $i] : tptp_fun_____(A, |'0'|)),
% 265.10/265.43 inference(modus_ponens,[status(thm)],[606, 605])).
% 265.10/265.43 tff(608,plain,(
% 265.10/265.43 ![A: $i] : tptp_fun_____(A, |'0'|)),
% 265.10/265.43 inference(skolemize,[status(sab)],[607])).
% 265.10/265.43 tff(609,plain,
% 265.10/265.43 (![A: $i] : tptp_fun_____(A, |'0'|)),
% 265.10/265.43 inference(modus_ponens,[status(thm)],[608, 604])).
% 265.10/265.43 tff(610,plain,
% 265.10/265.43 ((~![A: $i] : tptp_fun_____(A, |'0'|)) | tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), |'0'|)),
% 265.10/265.43 inference(quant_inst,[status(thm)],[])).
% 265.10/265.43 tff(611,plain,
% 265.10/265.43 (tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), |'0'|)),
% 265.10/265.43 inference(unit_resolution,[status(thm)],[610, 609])).
% 265.10/265.43 tff(612,plain,
% 265.10/265.43 (((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((~tptp_fun_____(|'0'|, tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), |'0'|)) | (tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = |'0'|))) <=> ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | (~tptp_fun_____(|'0'|, tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), |'0'|)) | (tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = |'0'|))),
% 265.10/265.43 inference(rewrite,[status(thm)],[])).
% 265.10/265.43 tff(613,plain,
% 265.10/265.43 (((tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = |'0'|) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), |'0'|)) | (~tptp_fun_____(|'0'|, tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|))))) <=> ((~tptp_fun_____(|'0'|, tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), |'0'|)) | (tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = |'0'|))),
% 265.10/265.43 inference(rewrite,[status(thm)],[])).
% 265.10/265.43 tff(614,plain,
% 265.10/265.43 (((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = |'0'|) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), |'0'|)) | (~tptp_fun_____(|'0'|, tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))) <=> ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((~tptp_fun_____(|'0'|, tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), |'0'|)) | (tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = |'0'|)))),
% 265.10/265.43 inference(monotonicity,[status(thm)],[613])).
% 265.10/265.43 tff(615,plain,
% 265.10/265.43 (((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = |'0'|) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), |'0'|)) | (~tptp_fun_____(|'0'|, tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))) <=> ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | (~tptp_fun_____(|'0'|, tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), |'0'|)) | (tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = |'0'|))),
% 265.73/266.04 inference(transitivity,[status(thm)],[614, 612])).
% 265.73/266.04 tff(616,plain,
% 265.73/266.04 ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | ((tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = |'0'|) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), |'0'|)) | (~tptp_fun_____(|'0'|, tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))))),
% 265.73/266.04 inference(quant_inst,[status(thm)],[])).
% 265.73/266.04 tff(617,plain,
% 265.73/266.04 ((~![X3: $i, X4: $i] : ((X3 = X4) | (~tptp_fun_____(X3, X4)) | (~tptp_fun_____(X4, X3)))) | (~tptp_fun_____(|'0'|, tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)))) | (~tptp_fun_____(tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)), |'0'|)) | (tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = |'0'|)),
% 265.73/266.04 inference(modus_ponens,[status(thm)],[616, 615])).
% 265.73/266.04 tff(618,plain,
% 265.73/266.04 (tptp_fun______(tptp_fun______(X17!0, tptp_fun______(X17!0, |'1'|)), tptp_fun______(X17!0, |'1'|)) = |'0'|),
% 265.73/266.04 inference(unit_resolution,[status(thm)],[617, 93, 611, 602])).
% 265.73/266.04 tff(619,plain,
% 265.73/266.04 (tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0) = |'0'|),
% 265.73/266.04 inference(transitivity,[status(thm)],[9, 618])).
% 265.73/266.04 tff(620,plain,
% 265.73/266.04 ((~![X17: $i] : (tptp_fun______(tptp_fun______(tptp_fun______(X17, |'1'|), X17), X17) = |'0'|)) <=> (~![X17: $i] : (tptp_fun______(tptp_fun______(tptp_fun______(X17, |'1'|), X17), X17) = |'0'|))),
% 265.73/266.04 inference(rewrite,[status(thm)],[])).
% 265.73/266.04 tff(621,axiom,(~![X17: $i] : (tptp_fun______(tptp_fun______(tptp_fun______(X17, |'1'|), X17), X17) = |'0'|)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','goals_15')).
% 265.73/266.04 tff(622,plain,
% 265.73/266.04 (~![X17: $i] : (tptp_fun______(tptp_fun______(tptp_fun______(X17, |'1'|), X17), X17) = |'0'|)),
% 265.73/266.04 inference(modus_ponens,[status(thm)],[621, 620])).
% 265.73/266.04 tff(623,plain,
% 265.73/266.04 (~![X17: $i] : (tptp_fun______(tptp_fun______(tptp_fun______(X17, |'1'|), X17), X17) = |'0'|)),
% 265.73/266.04 inference(modus_ponens,[status(thm)],[622, 620])).
% 265.73/266.04 tff(624,plain,
% 265.73/266.04 (~![X17: $i] : (tptp_fun______(tptp_fun______(tptp_fun______(X17, |'1'|), X17), X17) = |'0'|)),
% 265.73/266.04 inference(modus_ponens,[status(thm)],[623, 620])).
% 265.73/266.04 tff(625,plain,
% 265.73/266.04 (~![X17: $i] : (tptp_fun______(tptp_fun______(tptp_fun______(X17, |'1'|), X17), X17) = |'0'|)),
% 265.73/266.04 inference(modus_ponens,[status(thm)],[624, 620])).
% 265.73/266.04 tff(626,plain,(
% 265.73/266.04 ~(tptp_fun______(tptp_fun______(tptp_fun______(X17!0, |'1'|), X17!0), X17!0) = |'0'|)),
% 265.73/266.04 inference(skolemize,[status(sab)],[625])).
% 265.73/266.04 tff(627,plain,
% 265.73/266.04 ($false),
% 265.73/266.04 inference(unit_resolution,[status(thm)],[626, 619])).
% 265.73/266.04 % SZS output end Proof
% 0.15/266.43 % E exiting
%------------------------------------------------------------------------------