%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : KRS151+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:13:29 AM UTC 2025
% Result : Theorem 0.20s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS151+1 : TPTP v9.0.0. Released v3.1.0.
% 0.00/0.12 % Command : run_E %s %d THM
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Jun 19 19:12:09 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.20/0.44 % SZS status Theorem
% 0.20/0.44 % SZS output start Proof
% 0.20/0.44 tff(xsd_string_type, type, (
% 0.20/0.44 xsd_string: $i > $o)).
% 0.20/0.44 tff(tptp_fun_X_23_type, type, (
% 0.20/0.44 tptp_fun_X_23: $i)).
% 0.20/0.44 tff(xsd_integer_type, type, (
% 0.20/0.44 xsd_integer: $i > $o)).
% 0.20/0.44 tff(cowlThing_type, type, (
% 0.20/0.44 cowlThing: $i > $o)).
% 0.20/0.44 tff(tptp_fun_X_22_type, type, (
% 0.20/0.44 tptp_fun_X_22: $i)).
% 0.20/0.44 tff(cowlNothing_type, type, (
% 0.20/0.44 cowlNothing: $i > $o)).
% 0.20/0.44 tff(cC72_type, type, (
% 0.20/0.44 cC72: $i > $o)).
% 0.20/0.44 tff(iV21030_type, type, (
% 0.20/0.44 iV21030: $i)).
% 0.20/0.44 tff(cC18_type, type, (
% 0.20/0.44 cC18: $i > $o)).
% 0.20/0.44 tff(cC74_type, type, (
% 0.20/0.44 cC74: $i > $o)).
% 0.20/0.44 tff(cC66_type, type, (
% 0.20/0.44 cC66: $i > $o)).
% 0.20/0.44 tff(cC68_type, type, (
% 0.20/0.44 cC68: $i > $o)).
% 0.20/0.44 tff(cC44_type, type, (
% 0.20/0.44 cC44: $i > $o)).
% 0.20/0.44 tff(iV21029_type, type, (
% 0.20/0.44 iV21029: $i)).
% 0.20/0.44 tff(cC12_type, type, (
% 0.20/0.44 cC12: $i > $o)).
% 0.20/0.44 tff(cC46_type, type, (
% 0.20/0.44 cC46: $i > $o)).
% 0.20/0.44 tff(cC50_type, type, (
% 0.20/0.44 cC50: $i > $o)).
% 0.20/0.44 tff(cC52_type, type, (
% 0.20/0.44 cC52: $i > $o)).
% 0.20/0.44 tff(cC24_type, type, (
% 0.20/0.44 cC24: $i > $o)).
% 0.20/0.44 tff(iV21027_type, type, (
% 0.20/0.44 iV21027: $i)).
% 0.20/0.44 tff(cC2_type, type, (
% 0.20/0.44 cC2: $i > $o)).
% 0.20/0.44 tff(cC26_type, type, (
% 0.20/0.44 cC26: $i > $o)).
% 0.20/0.44 tff(cC30_type, type, (
% 0.20/0.44 cC30: $i > $o)).
% 0.20/0.44 tff(cC32_type, type, (
% 0.20/0.44 cC32: $i > $o)).
% 0.20/0.44 tff(cC90_type, type, (
% 0.20/0.44 cC90: $i > $o)).
% 0.20/0.44 tff(iV21026_type, type, (
% 0.20/0.44 iV21026: $i)).
% 0.20/0.44 tff(cC86_type, type, (
% 0.20/0.44 cC86: $i > $o)).
% 0.20/0.44 tff(cC88_type, type, (
% 0.20/0.44 cC88: $i > $o)).
% 0.20/0.44 tff(cC84_type, type, (
% 0.20/0.44 cC84: $i > $o)).
% 0.20/0.44 tff(cC82_type, type, (
% 0.20/0.44 cC82: $i > $o)).
% 0.20/0.44 tff(cC64_type, type, (
% 0.20/0.44 cC64: $i > $o)).
% 0.20/0.44 tff(cC80_type, type, (
% 0.20/0.44 cC80: $i > $o)).
% 0.20/0.44 tff(cC62_type, type, (
% 0.20/0.44 cC62: $i > $o)).
% 0.20/0.44 tff(cC60_type, type, (
% 0.20/0.44 cC60: $i > $o)).
% 0.20/0.44 tff(cC58_type, type, (
% 0.20/0.44 cC58: $i > $o)).
% 0.20/0.44 tff(cC42_type, type, (
% 0.20/0.44 cC42: $i > $o)).
% 0.20/0.44 tff(cC40_type, type, (
% 0.20/0.44 cC40: $i > $o)).
% 0.20/0.44 tff(cC38_type, type, (
% 0.20/0.44 cC38: $i > $o)).
% 0.20/0.44 tff(cTOP_type, type, (
% 0.20/0.44 cTOP: $i > $o)).
% 0.20/0.44 tff(cC36_type, type, (
% 0.20/0.44 cC36: $i > $o)).
% 0.20/0.44 tff(cC34_type, type, (
% 0.20/0.44 cC34: $i > $o)).
% 0.20/0.44 tff(cC28_type, type, (
% 0.20/0.44 cC28: $i > $o)).
% 0.20/0.44 tff(cC56_type, type, (
% 0.20/0.44 cC56: $i > $o)).
% 0.20/0.44 tff(cC54_type, type, (
% 0.20/0.44 cC54: $i > $o)).
% 0.20/0.44 tff(cC48_type, type, (
% 0.20/0.44 cC48: $i > $o)).
% 0.20/0.44 tff(cC78_type, type, (
% 0.20/0.44 cC78: $i > $o)).
% 0.20/0.44 tff(cC76_type, type, (
% 0.20/0.44 cC76: $i > $o)).
% 0.20/0.44 tff(cC70_type, type, (
% 0.20/0.44 cC70: $i > $o)).
% 0.20/0.44 tff(cC14_type, type, (
% 0.20/0.44 cC14: $i > $o)).
% 0.20/0.44 tff(cC10_type, type, (
% 0.20/0.44 cC10: $i > $o)).
% 0.20/0.44 tff(cC16_type, type, (
% 0.20/0.44 cC16: $i > $o)).
% 0.20/0.44 tff(cC20_type, type, (
% 0.20/0.44 cC20: $i > $o)).
% 0.20/0.44 tff(cC22_type, type, (
% 0.20/0.44 cC22: $i > $o)).
% 0.20/0.44 tff(cC156_type, type, (
% 0.20/0.44 cC156: $i > $o)).
% 0.20/0.44 tff(cC158_type, type, (
% 0.20/0.44 cC158: $i > $o)).
% 0.20/0.44 tff(cC180_type, type, (
% 0.20/0.44 cC180: $i > $o)).
% 0.20/0.44 tff(cTEST_type, type, (
% 0.20/0.44 cTEST: $i > $o)).
% 0.20/0.44 tff(cC108_type, type, (
% 0.20/0.44 cC108: $i > $o)).
% 0.20/0.44 tff(cC98_type, type, (
% 0.20/0.44 cC98: $i > $o)).
% 0.20/0.44 tff(cC106_type, type, (
% 0.20/0.44 cC106: $i > $o)).
% 0.20/0.44 tff(cC4_type, type, (
% 0.20/0.44 cC4: $i > $o)).
% 0.20/0.44 tff(cC8_type, type, (
% 0.20/0.44 cC8: $i > $o)).
% 0.20/0.44 tff(cC138_type, type, (
% 0.20/0.44 cC138: $i > $o)).
% 0.20/0.44 tff(cC154_type, type, (
% 0.20/0.44 cC154: $i > $o)).
% 0.20/0.44 tff(cC116_type, type, (
% 0.20/0.44 cC116: $i > $o)).
% 0.20/0.44 tff(cC132_type, type, (
% 0.20/0.44 cC132: $i > $o)).
% 0.20/0.44 tff(cC134_type, type, (
% 0.20/0.44 cC134: $i > $o)).
% 0.20/0.44 tff(cC136_type, type, (
% 0.20/0.44 cC136: $i > $o)).
% 0.20/0.44 tff(cC110_type, type, (
% 0.20/0.44 cC110: $i > $o)).
% 0.20/0.44 tff(cC114_type, type, (
% 0.20/0.44 cC114: $i > $o)).
% 0.20/0.44 tff(cC112_type, type, (
% 0.20/0.44 cC112: $i > $o)).
% 0.20/0.44 tff(cC152_type, type, (
% 0.20/0.44 cC152: $i > $o)).
% 0.20/0.44 tff(cC150_type, type, (
% 0.20/0.44 cC150: $i > $o)).
% 0.20/0.44 tff(cC144_type, type, (
% 0.20/0.44 cC144: $i > $o)).
% 0.20/0.44 tff(cC130_type, type, (
% 0.20/0.44 cC130: $i > $o)).
% 0.20/0.44 tff(cC128_type, type, (
% 0.20/0.44 cC128: $i > $o)).
% 0.20/0.44 tff(cC122_type, type, (
% 0.20/0.44 cC122: $i > $o)).
% 0.20/0.44 tff(cC168_type, type, (
% 0.20/0.44 cC168: $i > $o)).
% 0.20/0.44 tff(cC166_type, type, (
% 0.20/0.44 cC166: $i > $o)).
% 0.20/0.44 tff(cC162_type, type, (
% 0.20/0.44 cC162: $i > $o)).
% 0.20/0.44 tff(cC174_type, type, (
% 0.20/0.44 cC174: $i > $o)).
% 0.20/0.44 tff(cC172_type, type, (
% 0.20/0.44 cC172: $i > $o)).
% 0.20/0.44 tff(1,assumption,(cowlNothing(X!22) | (~cowlThing(X!22))), introduced(assumption)).
% 0.20/0.44 tff(2,plain,
% 0.20/0.44 (^[X: $i] : refl((~(cowlNothing(X) | (~cowlThing(X)))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(3,plain,
% 0.20/0.44 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X)))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[2])).
% 0.20/0.44 tff(4,plain,
% 0.20/0.44 (^[X: $i] : rewrite((cowlThing(X) & (~cowlNothing(X))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(5,plain,
% 0.20/0.44 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[4])).
% 0.20/0.44 tff(6,plain,
% 0.20/0.44 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(7,axiom,(![X: $i] : (cowlThing(X) & (~cowlNothing(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_0')).
% 0.20/0.44 tff(8,plain,
% 0.20/0.44 (![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.20/0.44 tff(9,plain,(
% 0.20/0.44 ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.20/0.44 inference(skolemize,[status(sab)],[8])).
% 0.20/0.44 tff(10,plain,
% 0.20/0.44 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.20/0.44 tff(11,plain,
% 0.20/0.44 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.20/0.44 tff(12,plain,
% 0.20/0.44 ((~![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))) | (~(cowlNothing(X!22) | (~cowlThing(X!22))))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(13,plain,
% 0.20/0.44 ($false),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[12, 11, 1])).
% 0.20/0.44 tff(14,plain,(~(cowlNothing(X!22) | (~cowlThing(X!22)))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.44 tff(15,plain,
% 0.20/0.44 ((cowlNothing(X!22) | (~cowlThing(X!22))) | cowlThing(X!22)),
% 0.20/0.44 inference(tautology,[status(thm)],[])).
% 0.20/0.44 tff(16,plain,
% 0.20/0.44 (cowlThing(X!22)),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[15, 14])).
% 0.20/0.44 tff(17,plain,
% 0.20/0.44 ((cowlNothing(X!22) | (~cowlThing(X!22))) | (~cowlNothing(X!22))),
% 0.20/0.44 inference(tautology,[status(thm)],[])).
% 0.20/0.44 tff(18,plain,
% 0.20/0.44 (~cowlNothing(X!22)),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[17, 14])).
% 0.20/0.44 tff(19,plain,
% 0.20/0.44 (^[X: $i] : refl((~((cC18(X) | cC72(X)) <=> cC74(X))) <=> (~((cC18(X) | cC72(X)) <=> cC74(X))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(20,plain,
% 0.20/0.45 (![X: $i] : (~((cC18(X) | cC72(X)) <=> cC74(X))) <=> ![X: $i] : (~((cC18(X) | cC72(X)) <=> cC74(X)))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[19])).
% 0.20/0.45 tff(21,plain,
% 0.20/0.45 (^[X: $i] : trans(trans(monotonicity(rewrite(((~cC18(X)) & (~cC72(X))) <=> (~(cC18(X) | cC72(X)))), ((cC74(X) <=> ((~cC18(X)) & (~cC72(X)))) <=> (cC74(X) <=> (~(cC18(X) | cC72(X)))))), rewrite((cC74(X) <=> (~(cC18(X) | cC72(X)))) <=> (~((cC18(X) | cC72(X)) <=> cC74(X)))), ((cC74(X) <=> ((~cC18(X)) & (~cC72(X)))) <=> (~((cC18(X) | cC72(X)) <=> cC74(X))))), rewrite((~((cC18(X) | cC72(X)) <=> cC74(X))) <=> (~((cC18(X) | cC72(X)) <=> cC74(X)))), ((cC74(X) <=> ((~cC18(X)) & (~cC72(X)))) <=> (~((cC18(X) | cC72(X)) <=> cC74(X)))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(22,plain,
% 0.20/0.45 (![X: $i] : (cC74(X) <=> ((~cC18(X)) & (~cC72(X)))) <=> ![X: $i] : (~((cC18(X) | cC72(X)) <=> cC74(X)))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[21])).
% 0.20/0.45 tff(23,plain,
% 0.20/0.45 (![X: $i] : (cC74(X) <=> ((~cC18(X)) & (~cC72(X)))) <=> ![X: $i] : (cC74(X) <=> ((~cC18(X)) & (~cC72(X))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(24,axiom,(![X: $i] : (cC74(X) <=> ((~cC18(X)) & (~cC72(X))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_73')).
% 0.20/0.45 tff(25,plain,
% 0.20/0.45 (![X: $i] : (cC74(X) <=> ((~cC18(X)) & (~cC72(X))))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.20/0.45 tff(26,plain,(
% 0.20/0.45 ![X: $i] : (cC74(X) <=> ((~cC18(X)) & (~cC72(X))))),
% 0.20/0.45 inference(skolemize,[status(sab)],[25])).
% 0.20/0.45 tff(27,plain,
% 0.20/0.45 (![X: $i] : (~((cC18(X) | cC72(X)) <=> cC74(X)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[26, 22])).
% 0.20/0.45 tff(28,plain,
% 0.20/0.45 (![X: $i] : (~((cC18(X) | cC72(X)) <=> cC74(X)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[27, 20])).
% 0.20/0.45 tff(29,plain,
% 0.20/0.45 ((~![X: $i] : (~((cC18(X) | cC72(X)) <=> cC74(X)))) | (~((cC18(iV21030) | cC72(iV21030)) <=> cC74(iV21030)))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(30,plain,
% 0.20/0.45 (~((cC18(iV21030) | cC72(iV21030)) <=> cC74(iV21030))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[29, 28])).
% 0.20/0.45 tff(31,plain,
% 0.20/0.45 ((~cC74(iV21030)) <=> (~cC74(iV21030))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(32,axiom,(~cC74(iV21030)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_192')).
% 0.20/0.45 tff(33,plain,
% 0.20/0.45 (~cC74(iV21030)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.20/0.45 tff(34,plain,
% 0.20/0.45 (((cC18(iV21030) | cC72(iV21030)) <=> cC74(iV21030)) | (cC18(iV21030) | cC72(iV21030)) | cC74(iV21030)),
% 0.20/0.45 inference(tautology,[status(thm)],[])).
% 0.20/0.45 tff(35,plain,
% 0.20/0.45 (((cC18(iV21030) | cC72(iV21030)) <=> cC74(iV21030)) | (cC18(iV21030) | cC72(iV21030))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[34, 33])).
% 0.20/0.45 tff(36,plain,
% 0.20/0.45 (cC18(iV21030) | cC72(iV21030)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[35, 30])).
% 0.20/0.45 tff(37,plain,
% 0.20/0.45 ((~cC18(iV21030)) <=> (~cC18(iV21030))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(38,axiom,(~cC18(iV21030)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_202')).
% 0.20/0.45 tff(39,plain,
% 0.20/0.45 (~cC18(iV21030)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.20/0.45 tff(40,plain,
% 0.20/0.45 ((~(cC18(iV21030) | cC72(iV21030))) | cC18(iV21030) | cC72(iV21030)),
% 0.20/0.45 inference(tautology,[status(thm)],[])).
% 0.20/0.45 tff(41,plain,
% 0.20/0.45 ((~(cC18(iV21030) | cC72(iV21030))) | cC72(iV21030)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[40, 39])).
% 0.20/0.45 tff(42,plain,
% 0.20/0.45 (cC72(iV21030)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[41, 36])).
% 0.20/0.45 tff(43,plain,
% 0.20/0.45 (^[X: $i] : refl((~((cC18(X) | cC66(X)) <=> cC68(X))) <=> (~((cC18(X) | cC66(X)) <=> cC68(X))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(44,plain,
% 0.20/0.45 (![X: $i] : (~((cC18(X) | cC66(X)) <=> cC68(X))) <=> ![X: $i] : (~((cC18(X) | cC66(X)) <=> cC68(X)))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[43])).
% 0.20/0.45 tff(45,plain,
% 0.20/0.45 (^[X: $i] : trans(trans(monotonicity(rewrite(((~cC66(X)) & (~cC18(X))) <=> (~(cC18(X) | cC66(X)))), ((cC68(X) <=> ((~cC66(X)) & (~cC18(X)))) <=> (cC68(X) <=> (~(cC18(X) | cC66(X)))))), rewrite((cC68(X) <=> (~(cC18(X) | cC66(X)))) <=> (~((cC18(X) | cC66(X)) <=> cC68(X)))), ((cC68(X) <=> ((~cC66(X)) & (~cC18(X)))) <=> (~((cC18(X) | cC66(X)) <=> cC68(X))))), rewrite((~((cC18(X) | cC66(X)) <=> cC68(X))) <=> (~((cC18(X) | cC66(X)) <=> cC68(X)))), ((cC68(X) <=> ((~cC66(X)) & (~cC18(X)))) <=> (~((cC18(X) | cC66(X)) <=> cC68(X)))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(46,plain,
% 0.20/0.45 (![X: $i] : (cC68(X) <=> ((~cC66(X)) & (~cC18(X)))) <=> ![X: $i] : (~((cC18(X) | cC66(X)) <=> cC68(X)))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[45])).
% 0.20/0.45 tff(47,plain,
% 0.20/0.45 (![X: $i] : (cC68(X) <=> ((~cC66(X)) & (~cC18(X)))) <=> ![X: $i] : (cC68(X) <=> ((~cC66(X)) & (~cC18(X))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(48,axiom,(![X: $i] : (cC68(X) <=> ((~cC66(X)) & (~cC18(X))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_70')).
% 0.20/0.45 tff(49,plain,
% 0.20/0.45 (![X: $i] : (cC68(X) <=> ((~cC66(X)) & (~cC18(X))))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[48, 47])).
% 0.20/0.45 tff(50,plain,(
% 0.20/0.45 ![X: $i] : (cC68(X) <=> ((~cC66(X)) & (~cC18(X))))),
% 0.20/0.45 inference(skolemize,[status(sab)],[49])).
% 0.20/0.45 tff(51,plain,
% 0.20/0.45 (![X: $i] : (~((cC18(X) | cC66(X)) <=> cC68(X)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[50, 46])).
% 0.20/0.45 tff(52,plain,
% 0.20/0.45 (![X: $i] : (~((cC18(X) | cC66(X)) <=> cC68(X)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[51, 44])).
% 0.20/0.45 tff(53,plain,
% 0.20/0.45 ((~![X: $i] : (~((cC18(X) | cC66(X)) <=> cC68(X)))) | (~((cC18(iV21030) | cC66(iV21030)) <=> cC68(iV21030)))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(54,plain,
% 0.20/0.45 (~((cC18(iV21030) | cC66(iV21030)) <=> cC68(iV21030))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[53, 52])).
% 0.20/0.45 tff(55,plain,
% 0.20/0.45 ((~cC68(iV21030)) <=> (~cC68(iV21030))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(56,axiom,(~cC68(iV21030)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_191')).
% 0.20/0.45 tff(57,plain,
% 0.20/0.45 (~cC68(iV21030)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[56, 55])).
% 0.20/0.45 tff(58,plain,
% 0.20/0.45 (((cC18(iV21030) | cC66(iV21030)) <=> cC68(iV21030)) | (cC18(iV21030) | cC66(iV21030)) | cC68(iV21030)),
% 0.20/0.45 inference(tautology,[status(thm)],[])).
% 0.20/0.45 tff(59,plain,
% 0.20/0.45 (((cC18(iV21030) | cC66(iV21030)) <=> cC68(iV21030)) | (cC18(iV21030) | cC66(iV21030))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[58, 57])).
% 0.20/0.45 tff(60,plain,
% 0.20/0.45 (cC18(iV21030) | cC66(iV21030)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[59, 54])).
% 0.20/0.45 tff(61,plain,
% 0.20/0.45 ((~(cC18(iV21030) | cC66(iV21030))) | cC18(iV21030) | cC66(iV21030)),
% 0.20/0.45 inference(tautology,[status(thm)],[])).
% 0.20/0.45 tff(62,plain,
% 0.20/0.45 ((~(cC18(iV21030) | cC66(iV21030))) | cC66(iV21030)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[61, 39])).
% 0.20/0.45 tff(63,plain,
% 0.20/0.45 (cC66(iV21030)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[62, 60])).
% 0.20/0.45 tff(64,plain,
% 0.20/0.45 (^[X: $i] : refl((~((cC12(X) | cC44(X)) <=> cC46(X))) <=> (~((cC12(X) | cC44(X)) <=> cC46(X))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(65,plain,
% 0.20/0.45 (![X: $i] : (~((cC12(X) | cC44(X)) <=> cC46(X))) <=> ![X: $i] : (~((cC12(X) | cC44(X)) <=> cC46(X)))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[64])).
% 0.20/0.45 tff(66,plain,
% 0.20/0.45 (^[X: $i] : trans(trans(monotonicity(rewrite(((~cC12(X)) & (~cC44(X))) <=> (~(cC12(X) | cC44(X)))), ((cC46(X) <=> ((~cC12(X)) & (~cC44(X)))) <=> (cC46(X) <=> (~(cC12(X) | cC44(X)))))), rewrite((cC46(X) <=> (~(cC12(X) | cC44(X)))) <=> (~((cC12(X) | cC44(X)) <=> cC46(X)))), ((cC46(X) <=> ((~cC12(X)) & (~cC44(X)))) <=> (~((cC12(X) | cC44(X)) <=> cC46(X))))), rewrite((~((cC12(X) | cC44(X)) <=> cC46(X))) <=> (~((cC12(X) | cC44(X)) <=> cC46(X)))), ((cC46(X) <=> ((~cC12(X)) & (~cC44(X)))) <=> (~((cC12(X) | cC44(X)) <=> cC46(X)))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(67,plain,
% 0.20/0.45 (![X: $i] : (cC46(X) <=> ((~cC12(X)) & (~cC44(X)))) <=> ![X: $i] : (~((cC12(X) | cC44(X)) <=> cC46(X)))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[66])).
% 0.20/0.45 tff(68,plain,
% 0.20/0.45 (![X: $i] : (cC46(X) <=> ((~cC12(X)) & (~cC44(X)))) <=> ![X: $i] : (cC46(X) <=> ((~cC12(X)) & (~cC44(X))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(69,axiom,(![X: $i] : (cC46(X) <=> ((~cC12(X)) & (~cC44(X))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_59')).
% 0.20/0.45 tff(70,plain,
% 0.20/0.45 (![X: $i] : (cC46(X) <=> ((~cC12(X)) & (~cC44(X))))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[69, 68])).
% 0.20/0.45 tff(71,plain,(
% 0.20/0.45 ![X: $i] : (cC46(X) <=> ((~cC12(X)) & (~cC44(X))))),
% 0.20/0.45 inference(skolemize,[status(sab)],[70])).
% 0.20/0.45 tff(72,plain,
% 0.20/0.45 (![X: $i] : (~((cC12(X) | cC44(X)) <=> cC46(X)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[71, 67])).
% 0.20/0.45 tff(73,plain,
% 0.20/0.45 (![X: $i] : (~((cC12(X) | cC44(X)) <=> cC46(X)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[72, 65])).
% 0.20/0.45 tff(74,plain,
% 0.20/0.45 ((~![X: $i] : (~((cC12(X) | cC44(X)) <=> cC46(X)))) | (~((cC12(iV21029) | cC44(iV21029)) <=> cC46(iV21029)))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(75,plain,
% 0.20/0.45 (~((cC12(iV21029) | cC44(iV21029)) <=> cC46(iV21029))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[74, 73])).
% 0.20/0.45 tff(76,plain,
% 0.20/0.45 ((~cC46(iV21029)) <=> (~cC46(iV21029))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(77,axiom,(~cC46(iV21029)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_157')).
% 0.20/0.45 tff(78,plain,
% 0.20/0.45 (~cC46(iV21029)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[77, 76])).
% 0.20/0.45 tff(79,plain,
% 0.20/0.45 (((cC12(iV21029) | cC44(iV21029)) <=> cC46(iV21029)) | (cC12(iV21029) | cC44(iV21029)) | cC46(iV21029)),
% 0.20/0.45 inference(tautology,[status(thm)],[])).
% 0.20/0.45 tff(80,plain,
% 0.20/0.45 (((cC12(iV21029) | cC44(iV21029)) <=> cC46(iV21029)) | (cC12(iV21029) | cC44(iV21029))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[79, 78])).
% 0.20/0.45 tff(81,plain,
% 0.20/0.45 (cC12(iV21029) | cC44(iV21029)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[80, 75])).
% 0.20/0.45 tff(82,plain,
% 0.20/0.45 ((~cC12(iV21029)) <=> (~cC12(iV21029))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(83,axiom,(~cC12(iV21029)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_163')).
% 0.20/0.45 tff(84,plain,
% 0.20/0.45 (~cC12(iV21029)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[83, 82])).
% 0.20/0.45 tff(85,plain,
% 0.20/0.45 ((~(cC12(iV21029) | cC44(iV21029))) | cC12(iV21029) | cC44(iV21029)),
% 0.20/0.45 inference(tautology,[status(thm)],[])).
% 0.20/0.45 tff(86,plain,
% 0.20/0.45 ((~(cC12(iV21029) | cC44(iV21029))) | cC44(iV21029)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[85, 84])).
% 0.20/0.45 tff(87,plain,
% 0.20/0.45 (cC44(iV21029)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[86, 81])).
% 0.20/0.45 tff(88,plain,
% 0.20/0.45 (^[X: $i] : refl((~((cC12(X) | cC50(X)) <=> cC52(X))) <=> (~((cC12(X) | cC50(X)) <=> cC52(X))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(89,plain,
% 0.20/0.45 (![X: $i] : (~((cC12(X) | cC50(X)) <=> cC52(X))) <=> ![X: $i] : (~((cC12(X) | cC50(X)) <=> cC52(X)))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[88])).
% 0.20/0.45 tff(90,plain,
% 0.20/0.45 (^[X: $i] : trans(trans(monotonicity(rewrite(((~cC12(X)) & (~cC50(X))) <=> (~(cC12(X) | cC50(X)))), ((cC52(X) <=> ((~cC12(X)) & (~cC50(X)))) <=> (cC52(X) <=> (~(cC12(X) | cC50(X)))))), rewrite((cC52(X) <=> (~(cC12(X) | cC50(X)))) <=> (~((cC12(X) | cC50(X)) <=> cC52(X)))), ((cC52(X) <=> ((~cC12(X)) & (~cC50(X)))) <=> (~((cC12(X) | cC50(X)) <=> cC52(X))))), rewrite((~((cC12(X) | cC50(X)) <=> cC52(X))) <=> (~((cC12(X) | cC50(X)) <=> cC52(X)))), ((cC52(X) <=> ((~cC12(X)) & (~cC50(X)))) <=> (~((cC12(X) | cC50(X)) <=> cC52(X)))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(91,plain,
% 0.20/0.45 (![X: $i] : (cC52(X) <=> ((~cC12(X)) & (~cC50(X)))) <=> ![X: $i] : (~((cC12(X) | cC50(X)) <=> cC52(X)))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[90])).
% 0.20/0.45 tff(92,plain,
% 0.20/0.45 (![X: $i] : (cC52(X) <=> ((~cC12(X)) & (~cC50(X)))) <=> ![X: $i] : (cC52(X) <=> ((~cC12(X)) & (~cC50(X))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(93,axiom,(![X: $i] : (cC52(X) <=> ((~cC12(X)) & (~cC50(X))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_62')).
% 0.20/0.45 tff(94,plain,
% 0.20/0.45 (![X: $i] : (cC52(X) <=> ((~cC12(X)) & (~cC50(X))))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[93, 92])).
% 0.20/0.45 tff(95,plain,(
% 0.20/0.45 ![X: $i] : (cC52(X) <=> ((~cC12(X)) & (~cC50(X))))),
% 0.20/0.45 inference(skolemize,[status(sab)],[94])).
% 0.20/0.45 tff(96,plain,
% 0.20/0.45 (![X: $i] : (~((cC12(X) | cC50(X)) <=> cC52(X)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[95, 91])).
% 0.20/0.45 tff(97,plain,
% 0.20/0.45 (![X: $i] : (~((cC12(X) | cC50(X)) <=> cC52(X)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[96, 89])).
% 0.20/0.45 tff(98,plain,
% 0.20/0.45 ((~![X: $i] : (~((cC12(X) | cC50(X)) <=> cC52(X)))) | (~((cC12(iV21029) | cC50(iV21029)) <=> cC52(iV21029)))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(99,plain,
% 0.20/0.45 (~((cC12(iV21029) | cC50(iV21029)) <=> cC52(iV21029))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[98, 97])).
% 0.20/0.45 tff(100,plain,
% 0.20/0.45 ((~cC52(iV21029)) <=> (~cC52(iV21029))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(101,axiom,(~cC52(iV21029)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_168')).
% 0.20/0.45 tff(102,plain,
% 0.20/0.45 (~cC52(iV21029)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[101, 100])).
% 0.20/0.45 tff(103,plain,
% 0.20/0.45 (((cC12(iV21029) | cC50(iV21029)) <=> cC52(iV21029)) | (cC12(iV21029) | cC50(iV21029)) | cC52(iV21029)),
% 0.20/0.45 inference(tautology,[status(thm)],[])).
% 0.20/0.45 tff(104,plain,
% 0.20/0.45 (((cC12(iV21029) | cC50(iV21029)) <=> cC52(iV21029)) | (cC12(iV21029) | cC50(iV21029))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[103, 102])).
% 0.20/0.45 tff(105,plain,
% 0.20/0.45 (cC12(iV21029) | cC50(iV21029)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[104, 99])).
% 0.20/0.45 tff(106,plain,
% 0.20/0.45 ((~(cC12(iV21029) | cC50(iV21029))) | cC12(iV21029) | cC50(iV21029)),
% 0.20/0.45 inference(tautology,[status(thm)],[])).
% 0.20/0.45 tff(107,plain,
% 0.20/0.45 ((~(cC12(iV21029) | cC50(iV21029))) | cC50(iV21029)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[106, 84])).
% 0.20/0.45 tff(108,plain,
% 0.20/0.45 (cC50(iV21029)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[107, 105])).
% 0.20/0.45 tff(109,plain,
% 0.20/0.45 (^[X: $i] : refl((~((cC24(X) | cC2(X)) <=> cC26(X))) <=> (~((cC24(X) | cC2(X)) <=> cC26(X))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(110,plain,
% 0.20/0.45 (![X: $i] : (~((cC24(X) | cC2(X)) <=> cC26(X))) <=> ![X: $i] : (~((cC24(X) | cC2(X)) <=> cC26(X)))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[109])).
% 0.20/0.45 tff(111,plain,
% 0.20/0.45 (^[X: $i] : trans(trans(monotonicity(rewrite(((~cC24(X)) & (~cC2(X))) <=> (~(cC24(X) | cC2(X)))), ((cC26(X) <=> ((~cC24(X)) & (~cC2(X)))) <=> (cC26(X) <=> (~(cC24(X) | cC2(X)))))), rewrite((cC26(X) <=> (~(cC24(X) | cC2(X)))) <=> (~((cC24(X) | cC2(X)) <=> cC26(X)))), ((cC26(X) <=> ((~cC24(X)) & (~cC2(X)))) <=> (~((cC24(X) | cC2(X)) <=> cC26(X))))), rewrite((~((cC24(X) | cC2(X)) <=> cC26(X))) <=> (~((cC24(X) | cC2(X)) <=> cC26(X)))), ((cC26(X) <=> ((~cC24(X)) & (~cC2(X)))) <=> (~((cC24(X) | cC2(X)) <=> cC26(X)))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(112,plain,
% 0.20/0.45 (![X: $i] : (cC26(X) <=> ((~cC24(X)) & (~cC2(X)))) <=> ![X: $i] : (~((cC24(X) | cC2(X)) <=> cC26(X)))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[111])).
% 0.20/0.45 tff(113,plain,
% 0.20/0.45 (![X: $i] : (cC26(X) <=> ((~cC24(X)) & (~cC2(X)))) <=> ![X: $i] : (cC26(X) <=> ((~cC24(X)) & (~cC2(X))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(114,axiom,(![X: $i] : (cC26(X) <=> ((~cC24(X)) & (~cC2(X))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_48')).
% 0.20/0.45 tff(115,plain,
% 0.20/0.45 (![X: $i] : (cC26(X) <=> ((~cC24(X)) & (~cC2(X))))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[114, 113])).
% 0.20/0.45 tff(116,plain,(
% 0.20/0.45 ![X: $i] : (cC26(X) <=> ((~cC24(X)) & (~cC2(X))))),
% 0.20/0.45 inference(skolemize,[status(sab)],[115])).
% 0.20/0.45 tff(117,plain,
% 0.20/0.45 (![X: $i] : (~((cC24(X) | cC2(X)) <=> cC26(X)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[116, 112])).
% 0.20/0.45 tff(118,plain,
% 0.20/0.45 (![X: $i] : (~((cC24(X) | cC2(X)) <=> cC26(X)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[117, 110])).
% 0.20/0.45 tff(119,plain,
% 0.20/0.45 (((~![X: $i] : (~((cC24(X) | cC2(X)) <=> cC26(X)))) | (~((cC2(iV21027) | cC24(iV21027)) <=> cC26(iV21027)))) <=> ((~![X: $i] : (~((cC24(X) | cC2(X)) <=> cC26(X)))) | (~((cC2(iV21027) | cC24(iV21027)) <=> cC26(iV21027))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(120,plain,
% 0.20/0.45 ((~((cC2(iV21027) | cC24(iV21027)) <=> cC26(iV21027))) <=> (~((cC2(iV21027) | cC24(iV21027)) <=> cC26(iV21027)))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(121,plain,
% 0.20/0.45 (((cC24(iV21027) | cC2(iV21027)) <=> cC26(iV21027)) <=> ((cC2(iV21027) | cC24(iV21027)) <=> cC26(iV21027))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(122,plain,
% 0.20/0.45 ((~((cC24(iV21027) | cC2(iV21027)) <=> cC26(iV21027))) <=> (~((cC2(iV21027) | cC24(iV21027)) <=> cC26(iV21027)))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[121])).
% 0.20/0.45 tff(123,plain,
% 0.20/0.45 ((~((cC24(iV21027) | cC2(iV21027)) <=> cC26(iV21027))) <=> (~((cC2(iV21027) | cC24(iV21027)) <=> cC26(iV21027)))),
% 0.20/0.45 inference(transitivity,[status(thm)],[122, 120])).
% 0.20/0.45 tff(124,plain,
% 0.20/0.45 (((~![X: $i] : (~((cC24(X) | cC2(X)) <=> cC26(X)))) | (~((cC24(iV21027) | cC2(iV21027)) <=> cC26(iV21027)))) <=> ((~![X: $i] : (~((cC24(X) | cC2(X)) <=> cC26(X)))) | (~((cC2(iV21027) | cC24(iV21027)) <=> cC26(iV21027))))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[123])).
% 0.20/0.45 tff(125,plain,
% 0.20/0.45 (((~![X: $i] : (~((cC24(X) | cC2(X)) <=> cC26(X)))) | (~((cC24(iV21027) | cC2(iV21027)) <=> cC26(iV21027)))) <=> ((~![X: $i] : (~((cC24(X) | cC2(X)) <=> cC26(X)))) | (~((cC2(iV21027) | cC24(iV21027)) <=> cC26(iV21027))))),
% 0.20/0.45 inference(transitivity,[status(thm)],[124, 119])).
% 0.20/0.45 tff(126,plain,
% 0.20/0.45 ((~![X: $i] : (~((cC24(X) | cC2(X)) <=> cC26(X)))) | (~((cC24(iV21027) | cC2(iV21027)) <=> cC26(iV21027)))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(127,plain,
% 0.20/0.45 ((~![X: $i] : (~((cC24(X) | cC2(X)) <=> cC26(X)))) | (~((cC2(iV21027) | cC24(iV21027)) <=> cC26(iV21027)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[126, 125])).
% 0.20/0.45 tff(128,plain,
% 0.20/0.45 (~((cC2(iV21027) | cC24(iV21027)) <=> cC26(iV21027))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[127, 118])).
% 0.20/0.45 tff(129,plain,
% 0.20/0.45 ((~cC26(iV21027)) <=> (~cC26(iV21027))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(130,axiom,(~cC26(iV21027)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_126')).
% 0.20/0.45 tff(131,plain,
% 0.20/0.45 (~cC26(iV21027)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[130, 129])).
% 0.20/0.45 tff(132,plain,
% 0.20/0.45 (((cC2(iV21027) | cC24(iV21027)) <=> cC26(iV21027)) | (cC2(iV21027) | cC24(iV21027)) | cC26(iV21027)),
% 0.20/0.45 inference(tautology,[status(thm)],[])).
% 0.20/0.45 tff(133,plain,
% 0.20/0.45 (((cC2(iV21027) | cC24(iV21027)) <=> cC26(iV21027)) | (cC2(iV21027) | cC24(iV21027))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[132, 131])).
% 0.20/0.45 tff(134,plain,
% 0.20/0.45 (cC2(iV21027) | cC24(iV21027)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[133, 128])).
% 0.20/0.45 tff(135,plain,
% 0.20/0.45 ((~cC2(iV21027)) <=> (~cC2(iV21027))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(136,axiom,(~cC2(iV21027)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_150')).
% 0.20/0.45 tff(137,plain,
% 0.20/0.45 (~cC2(iV21027)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[136, 135])).
% 0.20/0.45 tff(138,plain,
% 0.20/0.45 ((~(cC2(iV21027) | cC24(iV21027))) | cC2(iV21027) | cC24(iV21027)),
% 0.20/0.45 inference(tautology,[status(thm)],[])).
% 0.20/0.45 tff(139,plain,
% 0.20/0.45 ((~(cC2(iV21027) | cC24(iV21027))) | cC24(iV21027)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[138, 137])).
% 0.20/0.45 tff(140,plain,
% 0.20/0.45 (cC24(iV21027)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[139, 134])).
% 0.20/0.45 tff(141,plain,
% 0.20/0.45 (^[X: $i] : refl((~((cC2(X) | cC30(X)) <=> cC32(X))) <=> (~((cC2(X) | cC30(X)) <=> cC32(X))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(142,plain,
% 0.20/0.45 (![X: $i] : (~((cC2(X) | cC30(X)) <=> cC32(X))) <=> ![X: $i] : (~((cC2(X) | cC30(X)) <=> cC32(X)))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[141])).
% 0.20/0.45 tff(143,plain,
% 0.20/0.45 (^[X: $i] : trans(trans(monotonicity(rewrite(((~cC2(X)) & (~cC30(X))) <=> (~(cC2(X) | cC30(X)))), ((cC32(X) <=> ((~cC2(X)) & (~cC30(X)))) <=> (cC32(X) <=> (~(cC2(X) | cC30(X)))))), rewrite((cC32(X) <=> (~(cC2(X) | cC30(X)))) <=> (~((cC2(X) | cC30(X)) <=> cC32(X)))), ((cC32(X) <=> ((~cC2(X)) & (~cC30(X)))) <=> (~((cC2(X) | cC30(X)) <=> cC32(X))))), rewrite((~((cC2(X) | cC30(X)) <=> cC32(X))) <=> (~((cC2(X) | cC30(X)) <=> cC32(X)))), ((cC32(X) <=> ((~cC2(X)) & (~cC30(X)))) <=> (~((cC2(X) | cC30(X)) <=> cC32(X)))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(144,plain,
% 0.20/0.45 (![X: $i] : (cC32(X) <=> ((~cC2(X)) & (~cC30(X)))) <=> ![X: $i] : (~((cC2(X) | cC30(X)) <=> cC32(X)))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[143])).
% 0.20/0.45 tff(145,plain,
% 0.20/0.45 (![X: $i] : (cC32(X) <=> ((~cC2(X)) & (~cC30(X)))) <=> ![X: $i] : (cC32(X) <=> ((~cC2(X)) & (~cC30(X))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(146,axiom,(![X: $i] : (cC32(X) <=> ((~cC2(X)) & (~cC30(X))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_51')).
% 0.20/0.45 tff(147,plain,
% 0.20/0.45 (![X: $i] : (cC32(X) <=> ((~cC2(X)) & (~cC30(X))))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[146, 145])).
% 0.20/0.45 tff(148,plain,(
% 0.20/0.45 ![X: $i] : (cC32(X) <=> ((~cC2(X)) & (~cC30(X))))),
% 0.20/0.45 inference(skolemize,[status(sab)],[147])).
% 0.20/0.45 tff(149,plain,
% 0.20/0.45 (![X: $i] : (~((cC2(X) | cC30(X)) <=> cC32(X)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[148, 144])).
% 0.20/0.45 tff(150,plain,
% 0.20/0.45 (![X: $i] : (~((cC2(X) | cC30(X)) <=> cC32(X)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[149, 142])).
% 0.20/0.45 tff(151,plain,
% 0.20/0.45 ((~![X: $i] : (~((cC2(X) | cC30(X)) <=> cC32(X)))) | (~((cC2(iV21027) | cC30(iV21027)) <=> cC32(iV21027)))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(152,plain,
% 0.20/0.45 (~((cC2(iV21027) | cC30(iV21027)) <=> cC32(iV21027))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[151, 150])).
% 0.20/0.45 tff(153,plain,
% 0.20/0.45 ((~cC32(iV21027)) <=> (~cC32(iV21027))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(154,axiom,(~cC32(iV21027)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_136')).
% 0.20/0.45 tff(155,plain,
% 0.20/0.45 (~cC32(iV21027)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[154, 153])).
% 0.20/0.45 tff(156,plain,
% 0.20/0.45 (((cC2(iV21027) | cC30(iV21027)) <=> cC32(iV21027)) | (cC2(iV21027) | cC30(iV21027)) | cC32(iV21027)),
% 0.20/0.45 inference(tautology,[status(thm)],[])).
% 0.20/0.45 tff(157,plain,
% 0.20/0.45 (((cC2(iV21027) | cC30(iV21027)) <=> cC32(iV21027)) | (cC2(iV21027) | cC30(iV21027))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[156, 155])).
% 0.20/0.45 tff(158,plain,
% 0.20/0.45 (cC2(iV21027) | cC30(iV21027)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[157, 152])).
% 0.20/0.45 tff(159,plain,
% 0.20/0.45 ((~(cC2(iV21027) | cC30(iV21027))) | cC2(iV21027) | cC30(iV21027)),
% 0.20/0.45 inference(tautology,[status(thm)],[])).
% 0.20/0.45 tff(160,plain,
% 0.20/0.45 ((~(cC2(iV21027) | cC30(iV21027))) | cC30(iV21027)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[159, 137])).
% 0.20/0.45 tff(161,plain,
% 0.20/0.45 (cC30(iV21027)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[160, 158])).
% 0.20/0.45 tff(162,plain,
% 0.20/0.45 (^[X: $i] : refl((~(((~cC88(X)) | (~cC86(X))) <=> cC90(X))) <=> (~(((~cC88(X)) | (~cC86(X))) <=> cC90(X))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(163,plain,
% 0.20/0.45 (![X: $i] : (~(((~cC88(X)) | (~cC86(X))) <=> cC90(X))) <=> ![X: $i] : (~(((~cC88(X)) | (~cC86(X))) <=> cC90(X)))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[162])).
% 0.20/0.45 tff(164,plain,
% 0.20/0.45 (^[X: $i] : trans(trans(monotonicity(rewrite((cC88(X) & cC86(X)) <=> (~((~cC88(X)) | (~cC86(X))))), ((cC90(X) <=> (cC88(X) & cC86(X))) <=> (cC90(X) <=> (~((~cC88(X)) | (~cC86(X))))))), rewrite((cC90(X) <=> (~((~cC88(X)) | (~cC86(X))))) <=> (~(((~cC88(X)) | (~cC86(X))) <=> cC90(X)))), ((cC90(X) <=> (cC88(X) & cC86(X))) <=> (~(((~cC88(X)) | (~cC86(X))) <=> cC90(X))))), rewrite((~(((~cC88(X)) | (~cC86(X))) <=> cC90(X))) <=> (~(((~cC88(X)) | (~cC86(X))) <=> cC90(X)))), ((cC90(X) <=> (cC88(X) & cC86(X))) <=> (~(((~cC88(X)) | (~cC86(X))) <=> cC90(X)))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(165,plain,
% 0.20/0.46 (![X: $i] : (cC90(X) <=> (cC88(X) & cC86(X))) <=> ![X: $i] : (~(((~cC88(X)) | (~cC86(X))) <=> cC90(X)))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[164])).
% 0.20/0.46 tff(166,plain,
% 0.20/0.46 (![X: $i] : (cC90(X) <=> (cC88(X) & cC86(X))) <=> ![X: $i] : (cC90(X) <=> (cC88(X) & cC86(X)))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(167,axiom,(![X: $i] : (cC90(X) <=> (cC88(X) & cC86(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_82')).
% 0.20/0.46 tff(168,plain,
% 0.20/0.46 (![X: $i] : (cC90(X) <=> (cC88(X) & cC86(X)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[167, 166])).
% 0.20/0.46 tff(169,plain,(
% 0.20/0.46 ![X: $i] : (cC90(X) <=> (cC88(X) & cC86(X)))),
% 0.20/0.46 inference(skolemize,[status(sab)],[168])).
% 0.20/0.46 tff(170,plain,
% 0.20/0.46 (![X: $i] : (~(((~cC88(X)) | (~cC86(X))) <=> cC90(X)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[169, 165])).
% 0.20/0.46 tff(171,plain,
% 0.20/0.46 (![X: $i] : (~(((~cC88(X)) | (~cC86(X))) <=> cC90(X)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[170, 163])).
% 0.20/0.46 tff(172,plain,
% 0.20/0.46 ((~![X: $i] : (~(((~cC88(X)) | (~cC86(X))) <=> cC90(X)))) | (~(((~cC88(iV21026)) | (~cC86(iV21026))) <=> cC90(iV21026)))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(173,plain,
% 0.20/0.46 (~(((~cC88(iV21026)) | (~cC86(iV21026))) <=> cC90(iV21026))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[172, 171])).
% 0.20/0.46 tff(174,plain,
% 0.20/0.46 (^[X: $i] : refl((~(((~cC82(X)) | (~cC84(X))) <=> cC86(X))) <=> (~(((~cC82(X)) | (~cC84(X))) <=> cC86(X))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(175,plain,
% 0.20/0.46 (![X: $i] : (~(((~cC82(X)) | (~cC84(X))) <=> cC86(X))) <=> ![X: $i] : (~(((~cC82(X)) | (~cC84(X))) <=> cC86(X)))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[174])).
% 0.20/0.46 tff(176,plain,
% 0.20/0.46 (^[X: $i] : trans(trans(monotonicity(rewrite((cC82(X) & cC84(X)) <=> (~((~cC82(X)) | (~cC84(X))))), ((cC86(X) <=> (cC82(X) & cC84(X))) <=> (cC86(X) <=> (~((~cC82(X)) | (~cC84(X))))))), rewrite((cC86(X) <=> (~((~cC82(X)) | (~cC84(X))))) <=> (~(((~cC82(X)) | (~cC84(X))) <=> cC86(X)))), ((cC86(X) <=> (cC82(X) & cC84(X))) <=> (~(((~cC82(X)) | (~cC84(X))) <=> cC86(X))))), rewrite((~(((~cC82(X)) | (~cC84(X))) <=> cC86(X))) <=> (~(((~cC82(X)) | (~cC84(X))) <=> cC86(X)))), ((cC86(X) <=> (cC82(X) & cC84(X))) <=> (~(((~cC82(X)) | (~cC84(X))) <=> cC86(X)))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(177,plain,
% 0.20/0.46 (![X: $i] : (cC86(X) <=> (cC82(X) & cC84(X))) <=> ![X: $i] : (~(((~cC82(X)) | (~cC84(X))) <=> cC86(X)))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[176])).
% 0.20/0.46 tff(178,plain,
% 0.20/0.46 (![X: $i] : (cC86(X) <=> (cC82(X) & cC84(X))) <=> ![X: $i] : (cC86(X) <=> (cC82(X) & cC84(X)))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(179,axiom,(![X: $i] : (cC86(X) <=> (cC82(X) & cC84(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_80')).
% 0.20/0.46 tff(180,plain,
% 0.20/0.46 (![X: $i] : (cC86(X) <=> (cC82(X) & cC84(X)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[179, 178])).
% 0.20/0.46 tff(181,plain,(
% 0.20/0.46 ![X: $i] : (cC86(X) <=> (cC82(X) & cC84(X)))),
% 0.20/0.46 inference(skolemize,[status(sab)],[180])).
% 0.20/0.46 tff(182,plain,
% 0.20/0.46 (![X: $i] : (~(((~cC82(X)) | (~cC84(X))) <=> cC86(X)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[181, 177])).
% 0.20/0.46 tff(183,plain,
% 0.20/0.46 (![X: $i] : (~(((~cC82(X)) | (~cC84(X))) <=> cC86(X)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[182, 175])).
% 0.20/0.46 tff(184,plain,
% 0.20/0.46 ((~![X: $i] : (~(((~cC82(X)) | (~cC84(X))) <=> cC86(X)))) | (~(((~cC82(iV21026)) | (~cC84(iV21026))) <=> cC86(iV21026)))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(185,plain,
% 0.20/0.46 (~(((~cC82(iV21026)) | (~cC84(iV21026))) <=> cC86(iV21026))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[184, 183])).
% 0.20/0.46 tff(186,plain,
% 0.20/0.46 (^[X: $i] : refl((~(((~cC80(X)) | (~cC64(X))) <=> cC82(X))) <=> (~(((~cC80(X)) | (~cC64(X))) <=> cC82(X))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(187,plain,
% 0.20/0.46 (![X: $i] : (~(((~cC80(X)) | (~cC64(X))) <=> cC82(X))) <=> ![X: $i] : (~(((~cC80(X)) | (~cC64(X))) <=> cC82(X)))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[186])).
% 0.20/0.46 tff(188,plain,
% 0.20/0.46 (^[X: $i] : trans(trans(monotonicity(rewrite((cC80(X) & cC64(X)) <=> (~((~cC80(X)) | (~cC64(X))))), ((cC82(X) <=> (cC80(X) & cC64(X))) <=> (cC82(X) <=> (~((~cC80(X)) | (~cC64(X))))))), rewrite((cC82(X) <=> (~((~cC80(X)) | (~cC64(X))))) <=> (~(((~cC80(X)) | (~cC64(X))) <=> cC82(X)))), ((cC82(X) <=> (cC80(X) & cC64(X))) <=> (~(((~cC80(X)) | (~cC64(X))) <=> cC82(X))))), rewrite((~(((~cC80(X)) | (~cC64(X))) <=> cC82(X))) <=> (~(((~cC80(X)) | (~cC64(X))) <=> cC82(X)))), ((cC82(X) <=> (cC80(X) & cC64(X))) <=> (~(((~cC80(X)) | (~cC64(X))) <=> cC82(X)))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(189,plain,
% 0.20/0.46 (![X: $i] : (cC82(X) <=> (cC80(X) & cC64(X))) <=> ![X: $i] : (~(((~cC80(X)) | (~cC64(X))) <=> cC82(X)))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[188])).
% 0.20/0.46 tff(190,plain,
% 0.20/0.46 (![X: $i] : (cC82(X) <=> (cC80(X) & cC64(X))) <=> ![X: $i] : (cC82(X) <=> (cC80(X) & cC64(X)))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(191,axiom,(![X: $i] : (cC82(X) <=> (cC80(X) & cC64(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_78')).
% 0.20/0.46 tff(192,plain,
% 0.20/0.46 (![X: $i] : (cC82(X) <=> (cC80(X) & cC64(X)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[191, 190])).
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% 0.20/0.46 inference(modus_ponens,[status(thm)],[193, 189])).
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% 0.20/0.46 inference(modus_ponens,[status(thm)],[194, 187])).
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% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
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% 0.20/0.46 (~(((~cC80(iV21026)) | (~cC64(iV21026))) <=> cC82(iV21026))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[196, 195])).
% 0.20/0.46 tff(198,plain,
% 0.20/0.46 (^[X: $i] : refl((~(((~cC62(X)) | (~cC60(X))) <=> cC64(X))) <=> (~(((~cC62(X)) | (~cC60(X))) <=> cC64(X))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(199,plain,
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% 0.20/0.46 inference(quant_intro,[status(thm)],[198])).
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% 0.20/0.46 inference(bind,[status(th)],[])).
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% 0.20/0.46 inference(quant_intro,[status(thm)],[200])).
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% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(203,axiom,(![X: $i] : (cC64(X) <=> (cC62(X) & cC60(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_68')).
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% 0.20/0.46 inference(modus_ponens,[status(thm)],[203, 202])).
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% 0.20/0.46 ![X: $i] : (cC64(X) <=> (cC62(X) & cC60(X)))),
% 0.20/0.46 inference(skolemize,[status(sab)],[204])).
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% 0.20/0.46 inference(modus_ponens,[status(thm)],[205, 201])).
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% 0.20/0.46 inference(modus_ponens,[status(thm)],[206, 199])).
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% 0.20/0.46 inference(rewrite,[status(thm)],[])).
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% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(210,plain,
% 0.20/0.46 ((((~cC62(iV21026)) | (~cC60(iV21026))) <=> cC64(iV21026)) <=> (((~cC60(iV21026)) | (~cC62(iV21026))) <=> cC64(iV21026))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(211,plain,
% 0.20/0.46 ((~(((~cC62(iV21026)) | (~cC60(iV21026))) <=> cC64(iV21026))) <=> (~(((~cC60(iV21026)) | (~cC62(iV21026))) <=> cC64(iV21026)))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[210])).
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% 0.20/0.46 ((~(((~cC62(iV21026)) | (~cC60(iV21026))) <=> cC64(iV21026))) <=> (~(((~cC60(iV21026)) | (~cC62(iV21026))) <=> cC64(iV21026)))),
% 0.20/0.46 inference(transitivity,[status(thm)],[211, 209])).
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% 0.20/0.46 inference(monotonicity,[status(thm)],[212])).
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% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
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% 0.20/0.46 inference(modus_ponens,[status(thm)],[215, 214])).
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% 0.20/0.46 inference(unit_resolution,[status(thm)],[216, 207])).
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% 0.20/0.46 inference(bind,[status(th)],[])).
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% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(221,plain,
% 0.20/0.46 (![X: $i] : (cC60(X) <=> (cC58(X) & cC42(X))) <=> ![X: $i] : (~(((~cC58(X)) | (~cC42(X))) <=> cC60(X)))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[220])).
% 0.20/0.46 tff(222,plain,
% 0.20/0.46 (![X: $i] : (cC60(X) <=> (cC58(X) & cC42(X))) <=> ![X: $i] : (cC60(X) <=> (cC58(X) & cC42(X)))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(223,axiom,(![X: $i] : (cC60(X) <=> (cC58(X) & cC42(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_66')).
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% 0.20/0.46 (![X: $i] : (cC60(X) <=> (cC58(X) & cC42(X)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[223, 222])).
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% 0.20/0.46 ![X: $i] : (cC60(X) <=> (cC58(X) & cC42(X)))),
% 0.20/0.46 inference(skolemize,[status(sab)],[224])).
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% 0.20/0.46 inference(modus_ponens,[status(thm)],[225, 221])).
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% 0.20/0.46 inference(modus_ponens,[status(thm)],[226, 219])).
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% 0.20/0.46 inference(rewrite,[status(thm)],[])).
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% 0.20/0.46 ((~(((~cC42(iV21026)) | (~cC58(iV21026))) <=> cC60(iV21026))) <=> (~(((~cC42(iV21026)) | (~cC58(iV21026))) <=> cC60(iV21026)))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(230,plain,
% 0.20/0.46 ((((~cC58(iV21026)) | (~cC42(iV21026))) <=> cC60(iV21026)) <=> (((~cC42(iV21026)) | (~cC58(iV21026))) <=> cC60(iV21026))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
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% 0.20/0.46 ((~(((~cC58(iV21026)) | (~cC42(iV21026))) <=> cC60(iV21026))) <=> (~(((~cC42(iV21026)) | (~cC58(iV21026))) <=> cC60(iV21026)))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[230])).
% 0.20/0.46 tff(232,plain,
% 0.20/0.46 ((~(((~cC58(iV21026)) | (~cC42(iV21026))) <=> cC60(iV21026))) <=> (~(((~cC42(iV21026)) | (~cC58(iV21026))) <=> cC60(iV21026)))),
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% 0.20/0.46 inference(monotonicity,[status(thm)],[232])).
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% 0.20/0.46 (![X: $i] : (cC42(X) <=> (cC40(X) & cC38(X))) <=> ![X: $i] : (~(((~cC40(X)) | (~cC38(X))) <=> cC42(X)))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[240])).
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% 0.20/0.46 (![X: $i] : (cC42(X) <=> (cC40(X) & cC38(X))) <=> ![X: $i] : (cC42(X) <=> (cC40(X) & cC38(X)))),
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% 0.20/0.46 tff(243,axiom,(![X: $i] : (cC42(X) <=> (cC40(X) & cC38(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_57')).
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% 0.20/0.46 inference(modus_ponens,[status(thm)],[245, 241])).
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% 0.20/0.46 inference(modus_ponens,[status(thm)],[246, 239])).
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% 0.20/0.46 ((((~cC40(iV21026)) | (~cC38(iV21026))) <=> cC42(iV21026)) <=> (((~cC38(iV21026)) | (~cC40(iV21026))) <=> cC42(iV21026))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
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% 0.20/0.46 ((~(((~cC40(iV21026)) | (~cC38(iV21026))) <=> cC42(iV21026))) <=> (~(((~cC38(iV21026)) | (~cC40(iV21026))) <=> cC42(iV21026)))),
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% 0.20/0.46 inference(transitivity,[status(thm)],[251, 249])).
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% 0.20/0.46 (((~![X: $i] : (~(((~cC40(X)) | (~cC38(X))) <=> cC42(X)))) | (~(((~cC40(iV21026)) | (~cC38(iV21026))) <=> cC42(iV21026)))) <=> ((~![X: $i] : (~(((~cC40(X)) | (~cC38(X))) <=> cC42(X)))) | (~(((~cC38(iV21026)) | (~cC40(iV21026))) <=> cC42(iV21026))))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[252])).
% 0.20/0.46 tff(254,plain,
% 0.20/0.46 (((~![X: $i] : (~(((~cC40(X)) | (~cC38(X))) <=> cC42(X)))) | (~(((~cC40(iV21026)) | (~cC38(iV21026))) <=> cC42(iV21026)))) <=> ((~![X: $i] : (~(((~cC40(X)) | (~cC38(X))) <=> cC42(X)))) | (~(((~cC38(iV21026)) | (~cC40(iV21026))) <=> cC42(iV21026))))),
% 0.20/0.46 inference(transitivity,[status(thm)],[253, 248])).
% 0.20/0.46 tff(255,plain,
% 0.20/0.46 ((~![X: $i] : (~(((~cC40(X)) | (~cC38(X))) <=> cC42(X)))) | (~(((~cC40(iV21026)) | (~cC38(iV21026))) <=> cC42(iV21026)))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(256,plain,
% 0.20/0.46 ((~![X: $i] : (~(((~cC40(X)) | (~cC38(X))) <=> cC42(X)))) | (~(((~cC38(iV21026)) | (~cC40(iV21026))) <=> cC42(iV21026)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[255, 254])).
% 0.20/0.46 tff(257,plain,
% 0.20/0.46 (~(((~cC38(iV21026)) | (~cC40(iV21026))) <=> cC42(iV21026))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[256, 247])).
% 0.20/0.46 tff(258,plain,
% 0.20/0.46 (^[X: $i] : refl((cC40(X) <=> cTOP(X)) <=> (cC40(X) <=> cTOP(X)))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(259,plain,
% 0.20/0.46 (![X: $i] : (cC40(X) <=> cTOP(X)) <=> ![X: $i] : (cC40(X) <=> cTOP(X))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[258])).
% 0.20/0.46 tff(260,plain,
% 0.20/0.46 (![X: $i] : (cC40(X) <=> cTOP(X)) <=> ![X: $i] : (cC40(X) <=> cTOP(X))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(261,axiom,(![X: $i] : (cC40(X) <=> cTOP(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_56')).
% 0.20/0.46 tff(262,plain,
% 0.20/0.46 (![X: $i] : (cC40(X) <=> cTOP(X))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[261, 260])).
% 0.20/0.46 tff(263,plain,(
% 0.20/0.46 ![X: $i] : (cC40(X) <=> cTOP(X))),
% 0.20/0.46 inference(skolemize,[status(sab)],[262])).
% 0.20/0.46 tff(264,plain,
% 0.20/0.46 (![X: $i] : (cC40(X) <=> cTOP(X))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[263, 259])).
% 0.20/0.46 tff(265,plain,
% 0.20/0.46 ((~![X: $i] : (cC40(X) <=> cTOP(X))) | (cC40(iV21026) <=> cTOP(iV21026))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(266,plain,
% 0.20/0.46 (cC40(iV21026) <=> cTOP(iV21026)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[265, 264])).
% 0.20/0.46 tff(267,plain,
% 0.20/0.46 (cTOP(iV21026) <=> cTOP(iV21026)),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(268,axiom,(cTOP(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_88')).
% 0.20/0.46 tff(269,plain,
% 0.20/0.46 (cTOP(iV21026)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[268, 267])).
% 0.20/0.46 tff(270,plain,
% 0.20/0.46 ((~(cC40(iV21026) <=> cTOP(iV21026))) | cC40(iV21026) | (~cTOP(iV21026))),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(271,plain,
% 0.20/0.46 ((~(cC40(iV21026) <=> cTOP(iV21026))) | cC40(iV21026)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[270, 269])).
% 0.20/0.47 tff(272,plain,
% 0.20/0.47 (cC40(iV21026)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[271, 266])).
% 0.20/0.47 tff(273,plain,
% 0.20/0.47 (^[X: $i] : refl((~(((~cC36(X)) | (~cTOP(X))) <=> cC38(X))) <=> (~(((~cC36(X)) | (~cTOP(X))) <=> cC38(X))))),
% 0.20/0.47 inference(bind,[status(th)],[])).
% 0.20/0.47 tff(274,plain,
% 0.20/0.47 (![X: $i] : (~(((~cC36(X)) | (~cTOP(X))) <=> cC38(X))) <=> ![X: $i] : (~(((~cC36(X)) | (~cTOP(X))) <=> cC38(X)))),
% 0.20/0.47 inference(quant_intro,[status(thm)],[273])).
% 0.20/0.47 tff(275,plain,
% 0.20/0.47 (^[X: $i] : trans(trans(monotonicity(rewrite((cC36(X) & cTOP(X)) <=> (~((~cC36(X)) | (~cTOP(X))))), ((cC38(X) <=> (cC36(X) & cTOP(X))) <=> (cC38(X) <=> (~((~cC36(X)) | (~cTOP(X))))))), rewrite((cC38(X) <=> (~((~cC36(X)) | (~cTOP(X))))) <=> (~(((~cC36(X)) | (~cTOP(X))) <=> cC38(X)))), ((cC38(X) <=> (cC36(X) & cTOP(X))) <=> (~(((~cC36(X)) | (~cTOP(X))) <=> cC38(X))))), rewrite((~(((~cC36(X)) | (~cTOP(X))) <=> cC38(X))) <=> (~(((~cC36(X)) | (~cTOP(X))) <=> cC38(X)))), ((cC38(X) <=> (cC36(X) & cTOP(X))) <=> (~(((~cC36(X)) | (~cTOP(X))) <=> cC38(X)))))),
% 0.20/0.47 inference(bind,[status(th)],[])).
% 0.20/0.47 tff(276,plain,
% 0.20/0.47 (![X: $i] : (cC38(X) <=> (cC36(X) & cTOP(X))) <=> ![X: $i] : (~(((~cC36(X)) | (~cTOP(X))) <=> cC38(X)))),
% 0.20/0.47 inference(quant_intro,[status(thm)],[275])).
% 0.20/0.47 tff(277,plain,
% 0.20/0.47 (![X: $i] : (cC38(X) <=> (cC36(X) & cTOP(X))) <=> ![X: $i] : (cC38(X) <=> (cC36(X) & cTOP(X)))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(278,axiom,(![X: $i] : (cC38(X) <=> (cC36(X) & cTOP(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_54')).
% 0.20/0.47 tff(279,plain,
% 0.20/0.47 (![X: $i] : (cC38(X) <=> (cC36(X) & cTOP(X)))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[278, 277])).
% 0.20/0.47 tff(280,plain,(
% 0.20/0.47 ![X: $i] : (cC38(X) <=> (cC36(X) & cTOP(X)))),
% 0.20/0.47 inference(skolemize,[status(sab)],[279])).
% 0.20/0.47 tff(281,plain,
% 0.20/0.47 (![X: $i] : (~(((~cC36(X)) | (~cTOP(X))) <=> cC38(X)))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[280, 276])).
% 0.20/0.47 tff(282,plain,
% 0.20/0.47 (![X: $i] : (~(((~cC36(X)) | (~cTOP(X))) <=> cC38(X)))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[281, 274])).
% 0.20/0.47 tff(283,plain,
% 0.20/0.47 ((~![X: $i] : (~(((~cC36(X)) | (~cTOP(X))) <=> cC38(X)))) | (~(((~cC36(iV21026)) | (~cTOP(iV21026))) <=> cC38(iV21026)))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(284,plain,
% 0.20/0.47 (~(((~cC36(iV21026)) | (~cTOP(iV21026))) <=> cC38(iV21026))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[283, 282])).
% 0.20/0.47 tff(285,plain,
% 0.20/0.47 (^[X: $i] : refl((~((cC28(X) | cC34(X)) <=> cC36(X))) <=> (~((cC28(X) | cC34(X)) <=> cC36(X))))),
% 0.20/0.47 inference(bind,[status(th)],[])).
% 0.20/0.47 tff(286,plain,
% 0.20/0.47 (![X: $i] : (~((cC28(X) | cC34(X)) <=> cC36(X))) <=> ![X: $i] : (~((cC28(X) | cC34(X)) <=> cC36(X)))),
% 0.20/0.47 inference(quant_intro,[status(thm)],[285])).
% 0.20/0.47 tff(287,plain,
% 0.20/0.47 (^[X: $i] : trans(trans(monotonicity(rewrite(((~cC28(X)) & (~cC34(X))) <=> (~(cC28(X) | cC34(X)))), ((cC36(X) <=> ((~cC28(X)) & (~cC34(X)))) <=> (cC36(X) <=> (~(cC28(X) | cC34(X)))))), rewrite((cC36(X) <=> (~(cC28(X) | cC34(X)))) <=> (~((cC28(X) | cC34(X)) <=> cC36(X)))), ((cC36(X) <=> ((~cC28(X)) & (~cC34(X)))) <=> (~((cC28(X) | cC34(X)) <=> cC36(X))))), rewrite((~((cC28(X) | cC34(X)) <=> cC36(X))) <=> (~((cC28(X) | cC34(X)) <=> cC36(X)))), ((cC36(X) <=> ((~cC28(X)) & (~cC34(X)))) <=> (~((cC28(X) | cC34(X)) <=> cC36(X)))))),
% 0.20/0.47 inference(bind,[status(th)],[])).
% 0.20/0.47 tff(288,plain,
% 0.20/0.47 (![X: $i] : (cC36(X) <=> ((~cC28(X)) & (~cC34(X)))) <=> ![X: $i] : (~((cC28(X) | cC34(X)) <=> cC36(X)))),
% 0.20/0.47 inference(quant_intro,[status(thm)],[287])).
% 0.20/0.47 tff(289,plain,
% 0.20/0.47 (![X: $i] : (cC36(X) <=> ((~cC28(X)) & (~cC34(X)))) <=> ![X: $i] : (cC36(X) <=> ((~cC28(X)) & (~cC34(X))))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(290,axiom,(![X: $i] : (cC36(X) <=> ((~cC28(X)) & (~cC34(X))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_53')).
% 0.20/0.47 tff(291,plain,
% 0.20/0.47 (![X: $i] : (cC36(X) <=> ((~cC28(X)) & (~cC34(X))))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[290, 289])).
% 0.20/0.47 tff(292,plain,(
% 0.20/0.47 ![X: $i] : (cC36(X) <=> ((~cC28(X)) & (~cC34(X))))),
% 0.20/0.47 inference(skolemize,[status(sab)],[291])).
% 0.20/0.47 tff(293,plain,
% 0.20/0.47 (![X: $i] : (~((cC28(X) | cC34(X)) <=> cC36(X)))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[292, 288])).
% 0.20/0.47 tff(294,plain,
% 0.20/0.47 (![X: $i] : (~((cC28(X) | cC34(X)) <=> cC36(X)))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[293, 286])).
% 0.20/0.47 tff(295,plain,
% 0.20/0.47 ((~![X: $i] : (~((cC28(X) | cC34(X)) <=> cC36(X)))) | (~((cC28(iV21026) | cC34(iV21026)) <=> cC36(iV21026)))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(296,plain,
% 0.20/0.47 (~((cC28(iV21026) | cC34(iV21026)) <=> cC36(iV21026))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[295, 294])).
% 0.20/0.47 tff(297,plain,
% 0.20/0.47 ((~cC28(iV21026)) <=> (~cC28(iV21026))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(298,axiom,(~cC28(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_96')).
% 0.20/0.47 tff(299,plain,
% 0.20/0.47 (~cC28(iV21026)),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[298, 297])).
% 0.20/0.47 tff(300,plain,
% 0.20/0.47 ((~cC34(iV21026)) <=> (~cC34(iV21026))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(301,axiom,(~cC34(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_95')).
% 0.20/0.47 tff(302,plain,
% 0.20/0.47 (~cC34(iV21026)),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[301, 300])).
% 0.20/0.47 tff(303,plain,
% 0.20/0.47 ((~(cC28(iV21026) | cC34(iV21026))) | cC28(iV21026) | cC34(iV21026)),
% 0.20/0.47 inference(tautology,[status(thm)],[])).
% 0.20/0.47 tff(304,plain,
% 0.20/0.47 (~(cC28(iV21026) | cC34(iV21026))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[303, 302, 299])).
% 0.20/0.47 tff(305,plain,
% 0.20/0.47 (((cC28(iV21026) | cC34(iV21026)) <=> cC36(iV21026)) | (cC28(iV21026) | cC34(iV21026)) | cC36(iV21026)),
% 0.20/0.47 inference(tautology,[status(thm)],[])).
% 0.20/0.47 tff(306,plain,
% 0.20/0.47 (((cC28(iV21026) | cC34(iV21026)) <=> cC36(iV21026)) | cC36(iV21026)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[305, 304])).
% 0.20/0.47 tff(307,plain,
% 0.20/0.47 (cC36(iV21026)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[306, 296])).
% 0.20/0.47 tff(308,plain,
% 0.20/0.47 ((~((~cC36(iV21026)) | (~cTOP(iV21026)))) | (~cC36(iV21026)) | (~cTOP(iV21026))),
% 0.20/0.47 inference(tautology,[status(thm)],[])).
% 0.20/0.47 tff(309,plain,
% 0.20/0.47 ((~((~cC36(iV21026)) | (~cTOP(iV21026)))) | (~cC36(iV21026))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[308, 269])).
% 0.20/0.47 tff(310,plain,
% 0.20/0.47 (~((~cC36(iV21026)) | (~cTOP(iV21026)))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[309, 307])).
% 0.20/0.47 tff(311,plain,
% 0.20/0.47 ((((~cC36(iV21026)) | (~cTOP(iV21026))) <=> cC38(iV21026)) | ((~cC36(iV21026)) | (~cTOP(iV21026))) | cC38(iV21026)),
% 0.20/0.47 inference(tautology,[status(thm)],[])).
% 0.20/0.47 tff(312,plain,
% 0.20/0.47 (cC38(iV21026)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[311, 310, 284])).
% 0.20/0.47 tff(313,plain,
% 0.20/0.47 ((~((~cC38(iV21026)) | (~cC40(iV21026)))) | (~cC38(iV21026)) | (~cC40(iV21026))),
% 0.20/0.47 inference(tautology,[status(thm)],[])).
% 0.20/0.47 tff(314,plain,
% 0.20/0.47 (~((~cC38(iV21026)) | (~cC40(iV21026)))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[313, 312, 272])).
% 0.20/0.47 tff(315,plain,
% 0.20/0.47 ((((~cC38(iV21026)) | (~cC40(iV21026))) <=> cC42(iV21026)) | ((~cC38(iV21026)) | (~cC40(iV21026))) | cC42(iV21026)),
% 0.20/0.47 inference(tautology,[status(thm)],[])).
% 0.20/0.47 tff(316,plain,
% 0.20/0.47 ((((~cC38(iV21026)) | (~cC40(iV21026))) <=> cC42(iV21026)) | cC42(iV21026)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[315, 314])).
% 0.20/0.47 tff(317,plain,
% 0.20/0.47 (cC42(iV21026)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[316, 257])).
% 0.20/0.47 tff(318,plain,
% 0.20/0.47 (^[X: $i] : refl((~(((~cC56(X)) | (~cTOP(X))) <=> cC58(X))) <=> (~(((~cC56(X)) | (~cTOP(X))) <=> cC58(X))))),
% 0.20/0.47 inference(bind,[status(th)],[])).
% 0.20/0.47 tff(319,plain,
% 0.20/0.47 (![X: $i] : (~(((~cC56(X)) | (~cTOP(X))) <=> cC58(X))) <=> ![X: $i] : (~(((~cC56(X)) | (~cTOP(X))) <=> cC58(X)))),
% 0.20/0.47 inference(quant_intro,[status(thm)],[318])).
% 0.20/0.47 tff(320,plain,
% 0.20/0.47 (^[X: $i] : trans(trans(monotonicity(rewrite((cC56(X) & cTOP(X)) <=> (~((~cC56(X)) | (~cTOP(X))))), ((cC58(X) <=> (cC56(X) & cTOP(X))) <=> (cC58(X) <=> (~((~cC56(X)) | (~cTOP(X))))))), rewrite((cC58(X) <=> (~((~cC56(X)) | (~cTOP(X))))) <=> (~(((~cC56(X)) | (~cTOP(X))) <=> cC58(X)))), ((cC58(X) <=> (cC56(X) & cTOP(X))) <=> (~(((~cC56(X)) | (~cTOP(X))) <=> cC58(X))))), rewrite((~(((~cC56(X)) | (~cTOP(X))) <=> cC58(X))) <=> (~(((~cC56(X)) | (~cTOP(X))) <=> cC58(X)))), ((cC58(X) <=> (cC56(X) & cTOP(X))) <=> (~(((~cC56(X)) | (~cTOP(X))) <=> cC58(X)))))),
% 0.20/0.47 inference(bind,[status(th)],[])).
% 0.20/0.47 tff(321,plain,
% 0.20/0.47 (![X: $i] : (cC58(X) <=> (cC56(X) & cTOP(X))) <=> ![X: $i] : (~(((~cC56(X)) | (~cTOP(X))) <=> cC58(X)))),
% 0.20/0.47 inference(quant_intro,[status(thm)],[320])).
% 0.20/0.47 tff(322,plain,
% 0.20/0.47 (![X: $i] : (cC58(X) <=> (cC56(X) & cTOP(X))) <=> ![X: $i] : (cC58(X) <=> (cC56(X) & cTOP(X)))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(323,axiom,(![X: $i] : (cC58(X) <=> (cC56(X) & cTOP(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_65')).
% 0.20/0.47 tff(324,plain,
% 0.20/0.47 (![X: $i] : (cC58(X) <=> (cC56(X) & cTOP(X)))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[323, 322])).
% 0.20/0.47 tff(325,plain,(
% 0.20/0.47 ![X: $i] : (cC58(X) <=> (cC56(X) & cTOP(X)))),
% 0.20/0.47 inference(skolemize,[status(sab)],[324])).
% 0.20/0.47 tff(326,plain,
% 0.20/0.47 (![X: $i] : (~(((~cC56(X)) | (~cTOP(X))) <=> cC58(X)))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[325, 321])).
% 0.20/0.47 tff(327,plain,
% 0.20/0.47 (![X: $i] : (~(((~cC56(X)) | (~cTOP(X))) <=> cC58(X)))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[326, 319])).
% 0.20/0.47 tff(328,plain,
% 0.20/0.47 ((~![X: $i] : (~(((~cC56(X)) | (~cTOP(X))) <=> cC58(X)))) | (~(((~cC56(iV21026)) | (~cTOP(iV21026))) <=> cC58(iV21026)))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(329,plain,
% 0.20/0.47 (~(((~cC56(iV21026)) | (~cTOP(iV21026))) <=> cC58(iV21026))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[328, 327])).
% 0.20/0.47 tff(330,plain,
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% 0.20/0.47 inference(bind,[status(th)],[])).
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% 0.20/0.47 inference(quant_intro,[status(thm)],[330])).
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% 0.20/0.47 inference(bind,[status(th)],[])).
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% 0.20/0.47 inference(quant_intro,[status(thm)],[332])).
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% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(335,axiom,(![X: $i] : (cC56(X) <=> ((~cC48(X)) & (~cC54(X))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_64')).
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% 0.20/0.47 inference(modus_ponens,[status(thm)],[335, 334])).
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% 0.20/0.47 ![X: $i] : (cC56(X) <=> ((~cC48(X)) & (~cC54(X))))),
% 0.20/0.47 inference(skolemize,[status(sab)],[336])).
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% 0.20/0.47 inference(modus_ponens,[status(thm)],[337, 333])).
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% 0.20/0.47 inference(modus_ponens,[status(thm)],[338, 331])).
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% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
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% 0.20/0.47 inference(unit_resolution,[status(thm)],[340, 339])).
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% 0.20/0.47 tff(343,axiom,(~cC48(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_112')).
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% 0.20/0.47 inference(modus_ponens,[status(thm)],[343, 342])).
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% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(346,axiom,(~cC54(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_109')).
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% 0.20/0.47 inference(modus_ponens,[status(thm)],[346, 345])).
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% 0.20/0.47 inference(tautology,[status(thm)],[])).
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% 0.20/0.47 inference(unit_resolution,[status(thm)],[348, 347, 344])).
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% 0.20/0.47 inference(tautology,[status(thm)],[])).
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% 0.20/0.47 inference(unit_resolution,[status(thm)],[350, 349])).
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% 0.20/0.47 inference(unit_resolution,[status(thm)],[351, 341])).
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% 0.20/0.47 inference(tautology,[status(thm)],[])).
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% 0.20/0.47 inference(unit_resolution,[status(thm)],[353, 269])).
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% 0.20/0.47 inference(unit_resolution,[status(thm)],[354, 352])).
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% 0.20/0.47 inference(tautology,[status(thm)],[])).
% 0.20/0.47 tff(357,plain,
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% 0.20/0.47 inference(unit_resolution,[status(thm)],[356, 355, 329])).
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% 0.20/0.47 inference(tautology,[status(thm)],[])).
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% 0.20/0.47 inference(unit_resolution,[status(thm)],[359, 317])).
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% 0.20/0.47 inference(unit_resolution,[status(thm)],[361, 360, 237])).
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% 0.20/0.47 inference(bind,[status(th)],[])).
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% 0.20/0.47 inference(quant_intro,[status(thm)],[363])).
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% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(366,axiom,(![X: $i] : (cC62(X) <=> cTOP(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_67')).
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% 0.20/0.47 inference(modus_ponens,[status(thm)],[366, 365])).
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% 0.20/0.47 inference(skolemize,[status(sab)],[367])).
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% 0.20/0.47 inference(modus_ponens,[status(thm)],[368, 364])).
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% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
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% 0.20/0.47 inference(unit_resolution,[status(thm)],[370, 369])).
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% 0.20/0.47 inference(tautology,[status(thm)],[])).
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% 0.20/0.47 inference(unit_resolution,[status(thm)],[372, 269])).
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% 0.20/0.47 inference(unit_resolution,[status(thm)],[373, 371])).
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% 0.20/0.47 tff(385,axiom,(![X: $i] : (cC80(X) <=> (cTOP(X) & cC78(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_77')).
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% 0.20/0.47 inference(bind,[status(th)],[])).
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% 0.20/0.47 (![X: $i] : (cC78(X) <=> ((~cC70(X)) & (~cC76(X)))) <=> ![X: $i] : (~((cC70(X) | cC76(X)) <=> cC78(X)))),
% 0.20/0.47 inference(quant_intro,[status(thm)],[402])).
% 0.20/0.47 tff(404,plain,
% 0.20/0.47 (![X: $i] : (cC78(X) <=> ((~cC70(X)) & (~cC76(X)))) <=> ![X: $i] : (cC78(X) <=> ((~cC70(X)) & (~cC76(X))))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(405,axiom,(![X: $i] : (cC78(X) <=> ((~cC70(X)) & (~cC76(X))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_75')).
% 0.20/0.47 tff(406,plain,
% 0.20/0.47 (![X: $i] : (cC78(X) <=> ((~cC70(X)) & (~cC76(X))))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[405, 404])).
% 0.20/0.47 tff(407,plain,(
% 0.20/0.47 ![X: $i] : (cC78(X) <=> ((~cC70(X)) & (~cC76(X))))),
% 0.20/0.47 inference(skolemize,[status(sab)],[406])).
% 0.20/0.47 tff(408,plain,
% 0.20/0.47 (![X: $i] : (~((cC70(X) | cC76(X)) <=> cC78(X)))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[407, 403])).
% 0.20/0.47 tff(409,plain,
% 0.20/0.47 (![X: $i] : (~((cC70(X) | cC76(X)) <=> cC78(X)))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[408, 401])).
% 0.20/0.47 tff(410,plain,
% 0.20/0.47 ((~![X: $i] : (~((cC70(X) | cC76(X)) <=> cC78(X)))) | (~((cC70(iV21026) | cC76(iV21026)) <=> cC78(iV21026)))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(411,plain,
% 0.20/0.47 (~((cC70(iV21026) | cC76(iV21026)) <=> cC78(iV21026))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[410, 409])).
% 0.20/0.47 tff(412,plain,
% 0.20/0.47 ((~cC76(iV21026)) <=> (~cC76(iV21026))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(413,axiom,(~cC76(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_113')).
% 0.20/0.47 tff(414,plain,
% 0.20/0.47 (~cC76(iV21026)),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[413, 412])).
% 0.20/0.47 tff(415,plain,
% 0.20/0.47 ((~cC70(iV21026)) <=> (~cC70(iV21026))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(416,axiom,(~cC70(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_98')).
% 0.20/0.47 tff(417,plain,
% 0.20/0.47 (~cC70(iV21026)),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[416, 415])).
% 0.20/0.47 tff(418,plain,
% 0.20/0.47 ((~(cC70(iV21026) | cC76(iV21026))) | cC70(iV21026) | cC76(iV21026)),
% 0.20/0.47 inference(tautology,[status(thm)],[])).
% 0.20/0.47 tff(419,plain,
% 0.20/0.47 (~(cC70(iV21026) | cC76(iV21026))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[418, 417, 414])).
% 0.20/0.47 tff(420,plain,
% 0.20/0.47 (((cC70(iV21026) | cC76(iV21026)) <=> cC78(iV21026)) | (cC70(iV21026) | cC76(iV21026)) | cC78(iV21026)),
% 0.20/0.47 inference(tautology,[status(thm)],[])).
% 0.20/0.47 tff(421,plain,
% 0.20/0.47 (((cC70(iV21026) | cC76(iV21026)) <=> cC78(iV21026)) | cC78(iV21026)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[420, 419])).
% 0.20/0.47 tff(422,plain,
% 0.20/0.47 (cC78(iV21026)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[421, 411])).
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% 0.20/0.47 ((~((~cC78(iV21026)) | (~cTOP(iV21026)))) | (~cC78(iV21026)) | (~cTOP(iV21026))),
% 0.20/0.47 inference(tautology,[status(thm)],[])).
% 0.20/0.47 tff(424,plain,
% 0.20/0.47 ((~((~cC78(iV21026)) | (~cTOP(iV21026)))) | (~cC78(iV21026))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[423, 269])).
% 0.20/0.47 tff(425,plain,
% 0.20/0.47 (~((~cC78(iV21026)) | (~cTOP(iV21026)))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[424, 422])).
% 0.20/0.47 tff(426,plain,
% 0.20/0.47 ((((~cC78(iV21026)) | (~cTOP(iV21026))) <=> cC80(iV21026)) | ((~cC78(iV21026)) | (~cTOP(iV21026))) | cC80(iV21026)),
% 0.20/0.48 inference(tautology,[status(thm)],[])).
% 0.20/0.48 tff(427,plain,
% 0.20/0.48 (cC80(iV21026)),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[426, 425, 399])).
% 0.20/0.48 tff(428,plain,
% 0.20/0.48 ((~((~cC80(iV21026)) | (~cC64(iV21026)))) | (~cC80(iV21026)) | (~cC64(iV21026))),
% 0.20/0.48 inference(tautology,[status(thm)],[])).
% 0.20/0.48 tff(429,plain,
% 0.20/0.48 ((~((~cC80(iV21026)) | (~cC64(iV21026)))) | (~cC64(iV21026))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[428, 427])).
% 0.20/0.48 tff(430,plain,
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% 0.20/0.48 inference(unit_resolution,[status(thm)],[429, 379])).
% 0.20/0.48 tff(431,plain,
% 0.20/0.48 ((((~cC80(iV21026)) | (~cC64(iV21026))) <=> cC82(iV21026)) | ((~cC80(iV21026)) | (~cC64(iV21026))) | cC82(iV21026)),
% 0.20/0.48 inference(tautology,[status(thm)],[])).
% 0.20/0.48 tff(432,plain,
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% 0.20/0.48 inference(unit_resolution,[status(thm)],[431, 430, 197])).
% 0.20/0.48 tff(433,plain,
% 0.20/0.48 (^[X: $i] : refl((cC84(X) <=> cTOP(X)) <=> (cC84(X) <=> cTOP(X)))),
% 0.20/0.48 inference(bind,[status(th)],[])).
% 0.20/0.48 tff(434,plain,
% 0.20/0.48 (![X: $i] : (cC84(X) <=> cTOP(X)) <=> ![X: $i] : (cC84(X) <=> cTOP(X))),
% 0.20/0.48 inference(quant_intro,[status(thm)],[433])).
% 0.20/0.48 tff(435,plain,
% 0.20/0.48 (![X: $i] : (cC84(X) <=> cTOP(X)) <=> ![X: $i] : (cC84(X) <=> cTOP(X))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(436,axiom,(![X: $i] : (cC84(X) <=> cTOP(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_79')).
% 0.20/0.48 tff(437,plain,
% 0.20/0.48 (![X: $i] : (cC84(X) <=> cTOP(X))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[436, 435])).
% 0.20/0.48 tff(438,plain,(
% 0.20/0.48 ![X: $i] : (cC84(X) <=> cTOP(X))),
% 0.20/0.48 inference(skolemize,[status(sab)],[437])).
% 0.20/0.48 tff(439,plain,
% 0.20/0.48 (![X: $i] : (cC84(X) <=> cTOP(X))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[438, 434])).
% 0.20/0.48 tff(440,plain,
% 0.20/0.48 ((~![X: $i] : (cC84(X) <=> cTOP(X))) | (cC84(iV21026) <=> cTOP(iV21026))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(441,plain,
% 0.20/0.48 (cC84(iV21026) <=> cTOP(iV21026)),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[440, 439])).
% 0.20/0.48 tff(442,plain,
% 0.20/0.48 ((~(cC84(iV21026) <=> cTOP(iV21026))) | cC84(iV21026) | (~cTOP(iV21026))),
% 0.20/0.48 inference(tautology,[status(thm)],[])).
% 0.20/0.48 tff(443,plain,
% 0.20/0.48 ((~(cC84(iV21026) <=> cTOP(iV21026))) | cC84(iV21026)),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[442, 269])).
% 0.20/0.48 tff(444,plain,
% 0.20/0.48 (cC84(iV21026)),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[443, 441])).
% 0.20/0.48 tff(445,plain,
% 0.20/0.48 ((~((~cC82(iV21026)) | (~cC84(iV21026)))) | (~cC82(iV21026)) | (~cC84(iV21026))),
% 0.20/0.48 inference(tautology,[status(thm)],[])).
% 0.20/0.48 tff(446,plain,
% 0.20/0.48 ((~((~cC82(iV21026)) | (~cC84(iV21026)))) | (~cC82(iV21026))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[445, 444])).
% 0.20/0.48 tff(447,plain,
% 0.20/0.48 (~((~cC82(iV21026)) | (~cC84(iV21026)))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[446, 432])).
% 0.20/0.48 tff(448,plain,
% 0.20/0.48 ((((~cC82(iV21026)) | (~cC84(iV21026))) <=> cC86(iV21026)) | ((~cC82(iV21026)) | (~cC84(iV21026))) | cC86(iV21026)),
% 0.20/0.48 inference(tautology,[status(thm)],[])).
% 0.20/0.48 tff(449,plain,
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% 0.20/0.48 inference(unit_resolution,[status(thm)],[448, 447, 185])).
% 0.20/0.48 tff(450,plain,
% 0.20/0.48 (^[X: $i] : refl((cC88(X) <=> cTOP(X)) <=> (cC88(X) <=> cTOP(X)))),
% 0.20/0.48 inference(bind,[status(th)],[])).
% 0.20/0.48 tff(451,plain,
% 0.20/0.48 (![X: $i] : (cC88(X) <=> cTOP(X)) <=> ![X: $i] : (cC88(X) <=> cTOP(X))),
% 0.20/0.48 inference(quant_intro,[status(thm)],[450])).
% 0.20/0.48 tff(452,plain,
% 0.20/0.48 (![X: $i] : (cC88(X) <=> cTOP(X)) <=> ![X: $i] : (cC88(X) <=> cTOP(X))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(453,axiom,(![X: $i] : (cC88(X) <=> cTOP(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_81')).
% 0.20/0.48 tff(454,plain,
% 0.20/0.48 (![X: $i] : (cC88(X) <=> cTOP(X))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[453, 452])).
% 0.20/0.48 tff(455,plain,(
% 0.20/0.48 ![X: $i] : (cC88(X) <=> cTOP(X))),
% 0.20/0.48 inference(skolemize,[status(sab)],[454])).
% 0.20/0.48 tff(456,plain,
% 0.20/0.48 (![X: $i] : (cC88(X) <=> cTOP(X))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[455, 451])).
% 0.20/0.48 tff(457,plain,
% 0.20/0.48 ((~![X: $i] : (cC88(X) <=> cTOP(X))) | (cC88(iV21026) <=> cTOP(iV21026))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(458,plain,
% 0.20/0.48 (cC88(iV21026) <=> cTOP(iV21026)),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[457, 456])).
% 0.20/0.48 tff(459,plain,
% 0.20/0.48 ((~(cC88(iV21026) <=> cTOP(iV21026))) | cC88(iV21026) | (~cTOP(iV21026))),
% 0.20/0.48 inference(tautology,[status(thm)],[])).
% 0.20/0.48 tff(460,plain,
% 0.20/0.48 ((~(cC88(iV21026) <=> cTOP(iV21026))) | cC88(iV21026)),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[459, 269])).
% 0.20/0.48 tff(461,plain,
% 0.20/0.48 (cC88(iV21026)),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[460, 458])).
% 0.20/0.48 tff(462,plain,
% 0.20/0.48 ((~((~cC88(iV21026)) | (~cC86(iV21026)))) | (~cC88(iV21026)) | (~cC86(iV21026))),
% 0.20/0.48 inference(tautology,[status(thm)],[])).
% 0.20/0.48 tff(463,plain,
% 0.20/0.48 ((~((~cC88(iV21026)) | (~cC86(iV21026)))) | (~cC86(iV21026))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[462, 461])).
% 0.20/0.48 tff(464,plain,
% 0.20/0.48 (~((~cC88(iV21026)) | (~cC86(iV21026)))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[463, 449])).
% 0.20/0.48 tff(465,plain,
% 0.20/0.48 ((((~cC88(iV21026)) | (~cC86(iV21026))) <=> cC90(iV21026)) | ((~cC88(iV21026)) | (~cC86(iV21026))) | cC90(iV21026)),
% 0.20/0.48 inference(tautology,[status(thm)],[])).
% 0.20/0.48 tff(466,plain,
% 0.20/0.48 (cC90(iV21026)),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[465, 464, 173])).
% 0.20/0.48 tff(467,plain,
% 0.20/0.48 (^[X: $i] : refl((~(((~cC14(X)) | (~cC10(X))) <=> cC16(X))) <=> (~(((~cC14(X)) | (~cC10(X))) <=> cC16(X))))),
% 0.20/0.48 inference(bind,[status(th)],[])).
% 0.20/0.48 tff(468,plain,
% 0.20/0.48 (![X: $i] : (~(((~cC14(X)) | (~cC10(X))) <=> cC16(X))) <=> ![X: $i] : (~(((~cC14(X)) | (~cC10(X))) <=> cC16(X)))),
% 0.20/0.48 inference(quant_intro,[status(thm)],[467])).
% 0.20/0.48 tff(469,plain,
% 0.20/0.48 (^[X: $i] : trans(trans(monotonicity(rewrite((cC14(X) & cC10(X)) <=> (~((~cC14(X)) | (~cC10(X))))), ((cC16(X) <=> (cC14(X) & cC10(X))) <=> (cC16(X) <=> (~((~cC14(X)) | (~cC10(X))))))), rewrite((cC16(X) <=> (~((~cC14(X)) | (~cC10(X))))) <=> (~(((~cC14(X)) | (~cC10(X))) <=> cC16(X)))), ((cC16(X) <=> (cC14(X) & cC10(X))) <=> (~(((~cC14(X)) | (~cC10(X))) <=> cC16(X))))), rewrite((~(((~cC14(X)) | (~cC10(X))) <=> cC16(X))) <=> (~(((~cC14(X)) | (~cC10(X))) <=> cC16(X)))), ((cC16(X) <=> (cC14(X) & cC10(X))) <=> (~(((~cC14(X)) | (~cC10(X))) <=> cC16(X)))))),
% 0.20/0.48 inference(bind,[status(th)],[])).
% 0.20/0.48 tff(470,plain,
% 0.20/0.48 (![X: $i] : (cC16(X) <=> (cC14(X) & cC10(X))) <=> ![X: $i] : (~(((~cC14(X)) | (~cC10(X))) <=> cC16(X)))),
% 0.20/0.48 inference(quant_intro,[status(thm)],[469])).
% 0.20/0.48 tff(471,plain,
% 0.20/0.48 (![X: $i] : (cC16(X) <=> (cC14(X) & cC10(X))) <=> ![X: $i] : (cC16(X) <=> (cC14(X) & cC10(X)))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(472,axiom,(![X: $i] : (cC16(X) <=> (cC14(X) & cC10(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_33')).
% 0.20/0.48 tff(473,plain,
% 0.20/0.48 (![X: $i] : (cC16(X) <=> (cC14(X) & cC10(X)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[472, 471])).
% 0.20/0.48 tff(474,plain,(
% 0.20/0.48 ![X: $i] : (cC16(X) <=> (cC14(X) & cC10(X)))),
% 0.20/0.48 inference(skolemize,[status(sab)],[473])).
% 0.20/0.48 tff(475,plain,
% 0.20/0.48 (![X: $i] : (~(((~cC14(X)) | (~cC10(X))) <=> cC16(X)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[474, 470])).
% 0.20/0.48 tff(476,plain,
% 0.20/0.48 (![X: $i] : (~(((~cC14(X)) | (~cC10(X))) <=> cC16(X)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[475, 468])).
% 0.20/0.48 tff(477,plain,
% 0.20/0.48 (((~![X: $i] : (~(((~cC14(X)) | (~cC10(X))) <=> cC16(X)))) | (~(((~cC10(iV21026)) | (~cC14(iV21026))) <=> cC16(iV21026)))) <=> ((~![X: $i] : (~(((~cC14(X)) | (~cC10(X))) <=> cC16(X)))) | (~(((~cC10(iV21026)) | (~cC14(iV21026))) <=> cC16(iV21026))))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(478,plain,
% 0.20/0.48 ((~(((~cC10(iV21026)) | (~cC14(iV21026))) <=> cC16(iV21026))) <=> (~(((~cC10(iV21026)) | (~cC14(iV21026))) <=> cC16(iV21026)))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(479,plain,
% 0.20/0.48 ((((~cC14(iV21026)) | (~cC10(iV21026))) <=> cC16(iV21026)) <=> (((~cC10(iV21026)) | (~cC14(iV21026))) <=> cC16(iV21026))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(480,plain,
% 0.20/0.48 ((~(((~cC14(iV21026)) | (~cC10(iV21026))) <=> cC16(iV21026))) <=> (~(((~cC10(iV21026)) | (~cC14(iV21026))) <=> cC16(iV21026)))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[479])).
% 0.20/0.48 tff(481,plain,
% 0.20/0.48 ((~(((~cC14(iV21026)) | (~cC10(iV21026))) <=> cC16(iV21026))) <=> (~(((~cC10(iV21026)) | (~cC14(iV21026))) <=> cC16(iV21026)))),
% 0.20/0.48 inference(transitivity,[status(thm)],[480, 478])).
% 0.20/0.48 tff(482,plain,
% 0.20/0.48 (((~![X: $i] : (~(((~cC14(X)) | (~cC10(X))) <=> cC16(X)))) | (~(((~cC14(iV21026)) | (~cC10(iV21026))) <=> cC16(iV21026)))) <=> ((~![X: $i] : (~(((~cC14(X)) | (~cC10(X))) <=> cC16(X)))) | (~(((~cC10(iV21026)) | (~cC14(iV21026))) <=> cC16(iV21026))))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[481])).
% 0.20/0.48 tff(483,plain,
% 0.20/0.48 (((~![X: $i] : (~(((~cC14(X)) | (~cC10(X))) <=> cC16(X)))) | (~(((~cC14(iV21026)) | (~cC10(iV21026))) <=> cC16(iV21026)))) <=> ((~![X: $i] : (~(((~cC14(X)) | (~cC10(X))) <=> cC16(X)))) | (~(((~cC10(iV21026)) | (~cC14(iV21026))) <=> cC16(iV21026))))),
% 0.20/0.48 inference(transitivity,[status(thm)],[482, 477])).
% 0.20/0.48 tff(484,plain,
% 0.20/0.48 ((~![X: $i] : (~(((~cC14(X)) | (~cC10(X))) <=> cC16(X)))) | (~(((~cC14(iV21026)) | (~cC10(iV21026))) <=> cC16(iV21026)))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(485,plain,
% 0.20/0.48 ((~![X: $i] : (~(((~cC14(X)) | (~cC10(X))) <=> cC16(X)))) | (~(((~cC10(iV21026)) | (~cC14(iV21026))) <=> cC16(iV21026)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[484, 483])).
% 0.20/0.48 tff(486,plain,
% 0.20/0.48 (~(((~cC10(iV21026)) | (~cC14(iV21026))) <=> cC16(iV21026))),
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% 0.20/0.48 inference(bind,[status(th)],[])).
% 0.20/0.48 tff(557,plain,
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% 0.20/0.48 inference(quant_intro,[status(thm)],[556])).
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% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(559,axiom,(![X: $i] : (cC108(X) <=> ((~cC106(X)) & (~cC98(X))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_6')).
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% 0.20/0.48 inference(modus_ponens,[status(thm)],[559, 558])).
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% 0.20/0.48 inference(skolemize,[status(sab)],[560])).
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% 0.20/0.48 inference(modus_ponens,[status(thm)],[561, 557])).
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% 0.20/0.48 inference(modus_ponens,[status(thm)],[562, 555])).
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% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
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% 0.20/0.48 inference(unit_resolution,[status(thm)],[564, 563])).
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% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(567,axiom,(~cC106(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_110')).
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% 0.20/0.48 inference(modus_ponens,[status(thm)],[567, 566])).
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% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(570,axiom,(~cC98(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_91')).
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% 0.20/0.48 inference(unit_resolution,[status(thm)],[575, 565])).
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% 0.20/0.48 inference(bind,[status(th)],[])).
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% 0.20/0.48 inference(bind,[status(th)],[])).
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% 0.20/0.48 inference(quant_intro,[status(thm)],[579])).
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% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(582,axiom,(![X: $i] : (cC10(X) <=> (cC8(X) & cC4(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_2')).
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% 0.20/0.48 inference(skolemize,[status(sab)],[583])).
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% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
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% 0.20/0.48 inference(unit_resolution,[status(thm)],[587, 586])).
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% 0.20/0.48 inference(unit_resolution,[status(thm)],[589, 551])).
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% 0.20/0.49 tff(601,axiom,(![X: $i] : (cC156(X) <=> (cC154(X) & cC138(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_31')).
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% 0.20/0.49 tff(619,axiom,(![X: $i] : (cC134(X) <=> (cC132(X) & cC116(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_19')).
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% 0.20/0.49 inference(quant_intro,[status(thm)],[626])).
% 0.20/0.49 tff(628,plain,
% 0.20/0.49 (^[X: $i] : trans(trans(monotonicity(rewrite((cC136(X) & cC134(X)) <=> (~((~cC136(X)) | (~cC134(X))))), ((cC138(X) <=> (cC136(X) & cC134(X))) <=> (cC138(X) <=> (~((~cC136(X)) | (~cC134(X))))))), rewrite((cC138(X) <=> (~((~cC136(X)) | (~cC134(X))))) <=> (~(((~cC136(X)) | (~cC134(X))) <=> cC138(X)))), ((cC138(X) <=> (cC136(X) & cC134(X))) <=> (~(((~cC136(X)) | (~cC134(X))) <=> cC138(X))))), rewrite((~(((~cC136(X)) | (~cC134(X))) <=> cC138(X))) <=> (~(((~cC136(X)) | (~cC134(X))) <=> cC138(X)))), ((cC138(X) <=> (cC136(X) & cC134(X))) <=> (~(((~cC136(X)) | (~cC134(X))) <=> cC138(X)))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(629,plain,
% 0.20/0.49 (![X: $i] : (cC138(X) <=> (cC136(X) & cC134(X))) <=> ![X: $i] : (~(((~cC136(X)) | (~cC134(X))) <=> cC138(X)))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[628])).
% 0.20/0.49 tff(630,plain,
% 0.20/0.49 (![X: $i] : (cC138(X) <=> (cC136(X) & cC134(X))) <=> ![X: $i] : (cC138(X) <=> (cC136(X) & cC134(X)))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(631,axiom,(![X: $i] : (cC138(X) <=> (cC136(X) & cC134(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_21')).
% 0.20/0.49 tff(632,plain,
% 0.20/0.49 (![X: $i] : (cC138(X) <=> (cC136(X) & cC134(X)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[631, 630])).
% 0.20/0.49 tff(633,plain,(
% 0.20/0.49 ![X: $i] : (cC138(X) <=> (cC136(X) & cC134(X)))),
% 0.20/0.49 inference(skolemize,[status(sab)],[632])).
% 0.20/0.49 tff(634,plain,
% 0.20/0.49 (![X: $i] : (~(((~cC136(X)) | (~cC134(X))) <=> cC138(X)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[633, 629])).
% 0.20/0.49 tff(635,plain,
% 0.20/0.49 (![X: $i] : (~(((~cC136(X)) | (~cC134(X))) <=> cC138(X)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[634, 627])).
% 0.20/0.49 tff(636,plain,
% 0.20/0.49 (((~![X: $i] : (~(((~cC136(X)) | (~cC134(X))) <=> cC138(X)))) | (~(((~cC134(iV21026)) | (~cC136(iV21026))) <=> cC138(iV21026)))) <=> ((~![X: $i] : (~(((~cC136(X)) | (~cC134(X))) <=> cC138(X)))) | (~(((~cC134(iV21026)) | (~cC136(iV21026))) <=> cC138(iV21026))))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(637,plain,
% 0.20/0.49 ((~(((~cC134(iV21026)) | (~cC136(iV21026))) <=> cC138(iV21026))) <=> (~(((~cC134(iV21026)) | (~cC136(iV21026))) <=> cC138(iV21026)))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(638,plain,
% 0.20/0.49 ((((~cC136(iV21026)) | (~cC134(iV21026))) <=> cC138(iV21026)) <=> (((~cC134(iV21026)) | (~cC136(iV21026))) <=> cC138(iV21026))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(639,plain,
% 0.20/0.49 ((~(((~cC136(iV21026)) | (~cC134(iV21026))) <=> cC138(iV21026))) <=> (~(((~cC134(iV21026)) | (~cC136(iV21026))) <=> cC138(iV21026)))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[638])).
% 0.20/0.49 tff(640,plain,
% 0.20/0.49 ((~(((~cC136(iV21026)) | (~cC134(iV21026))) <=> cC138(iV21026))) <=> (~(((~cC134(iV21026)) | (~cC136(iV21026))) <=> cC138(iV21026)))),
% 0.20/0.49 inference(transitivity,[status(thm)],[639, 637])).
% 0.20/0.49 tff(641,plain,
% 0.20/0.49 (((~![X: $i] : (~(((~cC136(X)) | (~cC134(X))) <=> cC138(X)))) | (~(((~cC136(iV21026)) | (~cC134(iV21026))) <=> cC138(iV21026)))) <=> ((~![X: $i] : (~(((~cC136(X)) | (~cC134(X))) <=> cC138(X)))) | (~(((~cC134(iV21026)) | (~cC136(iV21026))) <=> cC138(iV21026))))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[640])).
% 0.20/0.49 tff(642,plain,
% 0.20/0.49 (((~![X: $i] : (~(((~cC136(X)) | (~cC134(X))) <=> cC138(X)))) | (~(((~cC136(iV21026)) | (~cC134(iV21026))) <=> cC138(iV21026)))) <=> ((~![X: $i] : (~(((~cC136(X)) | (~cC134(X))) <=> cC138(X)))) | (~(((~cC134(iV21026)) | (~cC136(iV21026))) <=> cC138(iV21026))))),
% 0.20/0.49 inference(transitivity,[status(thm)],[641, 636])).
% 0.20/0.49 tff(643,plain,
% 0.20/0.49 ((~![X: $i] : (~(((~cC136(X)) | (~cC134(X))) <=> cC138(X)))) | (~(((~cC136(iV21026)) | (~cC134(iV21026))) <=> cC138(iV21026)))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(644,plain,
% 0.20/0.49 ((~![X: $i] : (~(((~cC136(X)) | (~cC134(X))) <=> cC138(X)))) | (~(((~cC134(iV21026)) | (~cC136(iV21026))) <=> cC138(iV21026)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[643, 642])).
% 0.20/0.49 tff(645,plain,
% 0.20/0.49 (~(((~cC134(iV21026)) | (~cC136(iV21026))) <=> cC138(iV21026))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[644, 635])).
% 0.20/0.49 tff(646,plain,
% 0.20/0.49 ((((~cC134(iV21026)) | (~cC136(iV21026))) <=> cC138(iV21026)) | (~((~cC134(iV21026)) | (~cC136(iV21026)))) | (~cC138(iV21026))),
% 0.20/0.49 inference(tautology,[status(thm)],[])).
% 0.20/0.49 tff(647,plain,
% 0.20/0.49 (~((~cC134(iV21026)) | (~cC136(iV21026)))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[646, 613, 645])).
% 0.20/0.49 tff(648,plain,
% 0.20/0.49 (((~cC134(iV21026)) | (~cC136(iV21026))) | cC134(iV21026)),
% 0.20/0.49 inference(tautology,[status(thm)],[])).
% 0.20/0.49 tff(649,plain,
% 0.20/0.49 (cC134(iV21026)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[648, 647])).
% 0.20/0.49 tff(650,plain,
% 0.20/0.49 ((((~cC132(iV21026)) | (~cC116(iV21026))) <=> cC134(iV21026)) | (~((~cC132(iV21026)) | (~cC116(iV21026)))) | (~cC134(iV21026))),
% 0.20/0.49 inference(tautology,[status(thm)],[])).
% 0.20/0.49 tff(651,plain,
% 0.20/0.49 (~((~cC132(iV21026)) | (~cC116(iV21026)))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[650, 649, 625])).
% 0.20/0.49 tff(652,plain,
% 0.20/0.49 (((~cC132(iV21026)) | (~cC116(iV21026))) | cC116(iV21026)),
% 0.20/0.49 inference(tautology,[status(thm)],[])).
% 0.20/0.49 tff(653,plain,
% 0.20/0.49 (cC116(iV21026)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[652, 651])).
% 0.20/0.49 tff(654,plain,
% 0.20/0.49 (^[X: $i] : refl((~(((~cC108(X)) | (~cTOP(X))) <=> cC110(X))) <=> (~(((~cC108(X)) | (~cTOP(X))) <=> cC110(X))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(655,plain,
% 0.20/0.49 (![X: $i] : (~(((~cC108(X)) | (~cTOP(X))) <=> cC110(X))) <=> ![X: $i] : (~(((~cC108(X)) | (~cTOP(X))) <=> cC110(X)))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[654])).
% 0.20/0.49 tff(656,plain,
% 0.20/0.49 (^[X: $i] : trans(trans(monotonicity(rewrite((cC108(X) & cTOP(X)) <=> (~((~cC108(X)) | (~cTOP(X))))), ((cC110(X) <=> (cC108(X) & cTOP(X))) <=> (cC110(X) <=> (~((~cC108(X)) | (~cTOP(X))))))), rewrite((cC110(X) <=> (~((~cC108(X)) | (~cTOP(X))))) <=> (~(((~cC108(X)) | (~cTOP(X))) <=> cC110(X)))), ((cC110(X) <=> (cC108(X) & cTOP(X))) <=> (~(((~cC108(X)) | (~cTOP(X))) <=> cC110(X))))), rewrite((~(((~cC108(X)) | (~cTOP(X))) <=> cC110(X))) <=> (~(((~cC108(X)) | (~cTOP(X))) <=> cC110(X)))), ((cC110(X) <=> (cC108(X) & cTOP(X))) <=> (~(((~cC108(X)) | (~cTOP(X))) <=> cC110(X)))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(657,plain,
% 0.20/0.49 (![X: $i] : (cC110(X) <=> (cC108(X) & cTOP(X))) <=> ![X: $i] : (~(((~cC108(X)) | (~cTOP(X))) <=> cC110(X)))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[656])).
% 0.20/0.49 tff(658,plain,
% 0.20/0.49 (![X: $i] : (cC110(X) <=> (cC108(X) & cTOP(X))) <=> ![X: $i] : (cC110(X) <=> (cC108(X) & cTOP(X)))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(659,axiom,(![X: $i] : (cC110(X) <=> (cC108(X) & cTOP(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_7')).
% 0.20/0.49 tff(660,plain,
% 0.20/0.49 (![X: $i] : (cC110(X) <=> (cC108(X) & cTOP(X)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[659, 658])).
% 0.20/0.49 tff(661,plain,(
% 0.20/0.49 ![X: $i] : (cC110(X) <=> (cC108(X) & cTOP(X)))),
% 0.20/0.49 inference(skolemize,[status(sab)],[660])).
% 0.20/0.49 tff(662,plain,
% 0.20/0.49 (![X: $i] : (~(((~cC108(X)) | (~cTOP(X))) <=> cC110(X)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[661, 657])).
% 0.20/0.49 tff(663,plain,
% 0.20/0.49 (![X: $i] : (~(((~cC108(X)) | (~cTOP(X))) <=> cC110(X)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[662, 655])).
% 0.20/0.49 tff(664,plain,
% 0.20/0.49 ((~![X: $i] : (~(((~cC108(X)) | (~cTOP(X))) <=> cC110(X)))) | (~(((~cC108(iV21026)) | (~cTOP(iV21026))) <=> cC110(iV21026)))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(665,plain,
% 0.20/0.49 (~(((~cC108(iV21026)) | (~cTOP(iV21026))) <=> cC110(iV21026))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[664, 663])).
% 0.20/0.49 tff(666,plain,
% 0.20/0.49 ((~((~cC108(iV21026)) | (~cTOP(iV21026)))) | (~cC108(iV21026)) | (~cTOP(iV21026))),
% 0.20/0.49 inference(tautology,[status(thm)],[])).
% 0.20/0.49 tff(667,plain,
% 0.20/0.49 ((~((~cC108(iV21026)) | (~cTOP(iV21026)))) | (~cC108(iV21026))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[666, 269])).
% 0.20/0.49 tff(668,plain,
% 0.20/0.49 (~((~cC108(iV21026)) | (~cTOP(iV21026)))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[667, 576])).
% 0.20/0.49 tff(669,plain,
% 0.20/0.49 ((((~cC108(iV21026)) | (~cTOP(iV21026))) <=> cC110(iV21026)) | ((~cC108(iV21026)) | (~cTOP(iV21026))) | cC110(iV21026)),
% 0.20/0.49 inference(tautology,[status(thm)],[])).
% 0.20/0.49 tff(670,plain,
% 0.20/0.49 (cC110(iV21026)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[669, 668, 665])).
% 0.20/0.49 tff(671,plain,
% 0.20/0.49 (^[X: $i] : refl((cC114(X) <=> cTOP(X)) <=> (cC114(X) <=> cTOP(X)))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(672,plain,
% 0.20/0.49 (![X: $i] : (cC114(X) <=> cTOP(X)) <=> ![X: $i] : (cC114(X) <=> cTOP(X))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[671])).
% 0.20/0.49 tff(673,plain,
% 0.20/0.49 (![X: $i] : (cC114(X) <=> cTOP(X)) <=> ![X: $i] : (cC114(X) <=> cTOP(X))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(674,axiom,(![X: $i] : (cC114(X) <=> cTOP(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_9')).
% 0.20/0.49 tff(675,plain,
% 0.20/0.49 (![X: $i] : (cC114(X) <=> cTOP(X))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[674, 673])).
% 0.20/0.49 tff(676,plain,(
% 0.20/0.49 ![X: $i] : (cC114(X) <=> cTOP(X))),
% 0.20/0.49 inference(skolemize,[status(sab)],[675])).
% 0.20/0.49 tff(677,plain,
% 0.20/0.49 (![X: $i] : (cC114(X) <=> cTOP(X))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[676, 672])).
% 0.20/0.49 tff(678,plain,
% 0.20/0.49 ((~![X: $i] : (cC114(X) <=> cTOP(X))) | (cC114(iV21026) <=> cTOP(iV21026))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(679,plain,
% 0.20/0.49 (cC114(iV21026) <=> cTOP(iV21026)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[678, 677])).
% 0.20/0.49 tff(680,plain,
% 0.20/0.49 ((~(cC114(iV21026) <=> cTOP(iV21026))) | cC114(iV21026) | (~cTOP(iV21026))),
% 0.20/0.49 inference(tautology,[status(thm)],[])).
% 0.20/0.49 tff(681,plain,
% 0.20/0.49 ((~(cC114(iV21026) <=> cTOP(iV21026))) | cC114(iV21026)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[680, 269])).
% 0.20/0.49 tff(682,plain,
% 0.20/0.49 (cC114(iV21026)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[681, 679])).
% 0.20/0.49 tff(683,plain,
% 0.20/0.49 (((~cC158(iV21026)) | (~cC180(iV21026))) | cC180(iV21026)),
% 0.20/0.49 inference(tautology,[status(thm)],[])).
% 0.20/0.49 tff(684,plain,
% 0.20/0.49 (cC180(iV21026)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[683, 536])).
% 0.20/0.49 tff(685,plain,
% 0.20/0.49 (^[X: $i] : refl((~(((~cC114(X)) | (~cC112(X))) <=> cC116(X))) <=> (~(((~cC114(X)) | (~cC112(X))) <=> cC116(X))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(686,plain,
% 0.20/0.49 (![X: $i] : (~(((~cC114(X)) | (~cC112(X))) <=> cC116(X))) <=> ![X: $i] : (~(((~cC114(X)) | (~cC112(X))) <=> cC116(X)))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[685])).
% 0.20/0.49 tff(687,plain,
% 0.20/0.49 (^[X: $i] : trans(trans(monotonicity(rewrite((cC114(X) & cC112(X)) <=> (~((~cC114(X)) | (~cC112(X))))), ((cC116(X) <=> (cC114(X) & cC112(X))) <=> (cC116(X) <=> (~((~cC114(X)) | (~cC112(X))))))), rewrite((cC116(X) <=> (~((~cC114(X)) | (~cC112(X))))) <=> (~(((~cC114(X)) | (~cC112(X))) <=> cC116(X)))), ((cC116(X) <=> (cC114(X) & cC112(X))) <=> (~(((~cC114(X)) | (~cC112(X))) <=> cC116(X))))), rewrite((~(((~cC114(X)) | (~cC112(X))) <=> cC116(X))) <=> (~(((~cC114(X)) | (~cC112(X))) <=> cC116(X)))), ((cC116(X) <=> (cC114(X) & cC112(X))) <=> (~(((~cC114(X)) | (~cC112(X))) <=> cC116(X)))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(688,plain,
% 0.20/0.49 (![X: $i] : (cC116(X) <=> (cC114(X) & cC112(X))) <=> ![X: $i] : (~(((~cC114(X)) | (~cC112(X))) <=> cC116(X)))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[687])).
% 0.20/0.49 tff(689,plain,
% 0.20/0.49 (![X: $i] : (cC116(X) <=> (cC114(X) & cC112(X))) <=> ![X: $i] : (cC116(X) <=> (cC114(X) & cC112(X)))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(690,axiom,(![X: $i] : (cC116(X) <=> (cC114(X) & cC112(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_10')).
% 0.20/0.49 tff(691,plain,
% 0.20/0.49 (![X: $i] : (cC116(X) <=> (cC114(X) & cC112(X)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[690, 689])).
% 0.20/0.49 tff(692,plain,(
% 0.20/0.49 ![X: $i] : (cC116(X) <=> (cC114(X) & cC112(X)))),
% 0.20/0.49 inference(skolemize,[status(sab)],[691])).
% 0.20/0.49 tff(693,plain,
% 0.20/0.49 (![X: $i] : (~(((~cC114(X)) | (~cC112(X))) <=> cC116(X)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[692, 688])).
% 0.20/0.49 tff(694,plain,
% 0.20/0.49 (![X: $i] : (~(((~cC114(X)) | (~cC112(X))) <=> cC116(X)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[693, 686])).
% 0.20/0.49 tff(695,plain,
% 0.20/0.49 (((~![X: $i] : (~(((~cC114(X)) | (~cC112(X))) <=> cC116(X)))) | (~(((~cC112(iV21026)) | (~cC114(iV21026))) <=> cC116(iV21026)))) <=> ((~![X: $i] : (~(((~cC114(X)) | (~cC112(X))) <=> cC116(X)))) | (~(((~cC112(iV21026)) | (~cC114(iV21026))) <=> cC116(iV21026))))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(696,plain,
% 0.20/0.49 ((~(((~cC112(iV21026)) | (~cC114(iV21026))) <=> cC116(iV21026))) <=> (~(((~cC112(iV21026)) | (~cC114(iV21026))) <=> cC116(iV21026)))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(697,plain,
% 0.20/0.49 ((((~cC114(iV21026)) | (~cC112(iV21026))) <=> cC116(iV21026)) <=> (((~cC112(iV21026)) | (~cC114(iV21026))) <=> cC116(iV21026))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(698,plain,
% 0.20/0.49 ((~(((~cC114(iV21026)) | (~cC112(iV21026))) <=> cC116(iV21026))) <=> (~(((~cC112(iV21026)) | (~cC114(iV21026))) <=> cC116(iV21026)))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[697])).
% 0.20/0.49 tff(699,plain,
% 0.20/0.49 ((~(((~cC114(iV21026)) | (~cC112(iV21026))) <=> cC116(iV21026))) <=> (~(((~cC112(iV21026)) | (~cC114(iV21026))) <=> cC116(iV21026)))),
% 0.20/0.49 inference(transitivity,[status(thm)],[698, 696])).
% 0.20/0.49 tff(700,plain,
% 0.20/0.49 (((~![X: $i] : (~(((~cC114(X)) | (~cC112(X))) <=> cC116(X)))) | (~(((~cC114(iV21026)) | (~cC112(iV21026))) <=> cC116(iV21026)))) <=> ((~![X: $i] : (~(((~cC114(X)) | (~cC112(X))) <=> cC116(X)))) | (~(((~cC112(iV21026)) | (~cC114(iV21026))) <=> cC116(iV21026))))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[699])).
% 0.20/0.49 tff(701,plain,
% 0.20/0.49 (((~![X: $i] : (~(((~cC114(X)) | (~cC112(X))) <=> cC116(X)))) | (~(((~cC114(iV21026)) | (~cC112(iV21026))) <=> cC116(iV21026)))) <=> ((~![X: $i] : (~(((~cC114(X)) | (~cC112(X))) <=> cC116(X)))) | (~(((~cC112(iV21026)) | (~cC114(iV21026))) <=> cC116(iV21026))))),
% 0.20/0.49 inference(transitivity,[status(thm)],[700, 695])).
% 0.20/0.49 tff(702,plain,
% 0.20/0.49 ((~![X: $i] : (~(((~cC114(X)) | (~cC112(X))) <=> cC116(X)))) | (~(((~cC114(iV21026)) | (~cC112(iV21026))) <=> cC116(iV21026)))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(703,plain,
% 0.20/0.49 ((~![X: $i] : (~(((~cC114(X)) | (~cC112(X))) <=> cC116(X)))) | (~(((~cC112(iV21026)) | (~cC114(iV21026))) <=> cC116(iV21026)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[702, 701])).
% 0.20/0.49 tff(704,plain,
% 0.20/0.49 (~(((~cC112(iV21026)) | (~cC114(iV21026))) <=> cC116(iV21026))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[703, 694])).
% 0.20/0.49 tff(705,plain,
% 0.20/0.49 ((((~cC112(iV21026)) | (~cC114(iV21026))) <=> cC116(iV21026)) | (~((~cC112(iV21026)) | (~cC114(iV21026)))) | (~cC116(iV21026))),
% 0.20/0.49 inference(tautology,[status(thm)],[])).
% 0.20/0.49 tff(706,plain,
% 0.20/0.49 (~((~cC112(iV21026)) | (~cC114(iV21026)))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[705, 653, 704])).
% 0.20/0.49 tff(707,plain,
% 0.20/0.49 (((~cC112(iV21026)) | (~cC114(iV21026))) | cC112(iV21026)),
% 0.20/0.49 inference(tautology,[status(thm)],[])).
% 0.20/0.49 tff(708,plain,
% 0.20/0.49 (cC112(iV21026)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[707, 706])).
% 0.20/0.49 tff(709,plain,
% 0.20/0.49 (^[X: $i] : refl((cC136(X) <=> cTOP(X)) <=> (cC136(X) <=> cTOP(X)))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(710,plain,
% 0.20/0.49 (![X: $i] : (cC136(X) <=> cTOP(X)) <=> ![X: $i] : (cC136(X) <=> cTOP(X))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[709])).
% 0.20/0.49 tff(711,plain,
% 0.20/0.49 (![X: $i] : (cC136(X) <=> cTOP(X)) <=> ![X: $i] : (cC136(X) <=> cTOP(X))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(712,axiom,(![X: $i] : (cC136(X) <=> cTOP(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_20')).
% 0.20/0.49 tff(713,plain,
% 0.20/0.49 (![X: $i] : (cC136(X) <=> cTOP(X))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[712, 711])).
% 0.20/0.49 tff(714,plain,(
% 0.20/0.49 ![X: $i] : (cC136(X) <=> cTOP(X))),
% 0.20/0.49 inference(skolemize,[status(sab)],[713])).
% 0.20/0.49 tff(715,plain,
% 0.20/0.49 (![X: $i] : (cC136(X) <=> cTOP(X))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[714, 710])).
% 0.20/0.49 tff(716,plain,
% 0.20/0.49 ((~![X: $i] : (cC136(X) <=> cTOP(X))) | (cC136(iV21026) <=> cTOP(iV21026))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(717,plain,
% 0.20/0.49 (cC136(iV21026) <=> cTOP(iV21026)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[716, 715])).
% 0.20/0.49 tff(718,plain,
% 0.20/0.49 ((~(cC136(iV21026) <=> cTOP(iV21026))) | cC136(iV21026) | (~cTOP(iV21026))),
% 0.20/0.49 inference(tautology,[status(thm)],[])).
% 0.20/0.49 tff(719,plain,
% 0.20/0.49 ((~(cC136(iV21026) <=> cTOP(iV21026))) | cC136(iV21026)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[718, 269])).
% 0.20/0.49 tff(720,plain,
% 0.20/0.49 (cC136(iV21026)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[719, 717])).
% 0.20/0.49 tff(721,plain,
% 0.20/0.49 (((~cC4(iV21026)) | (~cC8(iV21026))) | cC8(iV21026)),
% 0.20/0.49 inference(tautology,[status(thm)],[])).
% 0.20/0.49 tff(722,plain,
% 0.20/0.49 (cC8(iV21026)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[721, 593])).
% 0.20/0.49 tff(723,plain,
% 0.20/0.49 (^[X: $i] : refl((~(((~cTOP(X)) | (~cC152(X))) <=> cC154(X))) <=> (~(((~cTOP(X)) | (~cC152(X))) <=> cC154(X))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(724,plain,
% 0.20/0.49 (![X: $i] : (~(((~cTOP(X)) | (~cC152(X))) <=> cC154(X))) <=> ![X: $i] : (~(((~cTOP(X)) | (~cC152(X))) <=> cC154(X)))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[723])).
% 0.20/0.49 tff(725,plain,
% 0.20/0.49 (^[X: $i] : trans(trans(monotonicity(rewrite((cTOP(X) & cC152(X)) <=> (~((~cTOP(X)) | (~cC152(X))))), ((cC154(X) <=> (cTOP(X) & cC152(X))) <=> (cC154(X) <=> (~((~cTOP(X)) | (~cC152(X))))))), rewrite((cC154(X) <=> (~((~cTOP(X)) | (~cC152(X))))) <=> (~(((~cTOP(X)) | (~cC152(X))) <=> cC154(X)))), ((cC154(X) <=> (cTOP(X) & cC152(X))) <=> (~(((~cTOP(X)) | (~cC152(X))) <=> cC154(X))))), rewrite((~(((~cTOP(X)) | (~cC152(X))) <=> cC154(X))) <=> (~(((~cTOP(X)) | (~cC152(X))) <=> cC154(X)))), ((cC154(X) <=> (cTOP(X) & cC152(X))) <=> (~(((~cTOP(X)) | (~cC152(X))) <=> cC154(X)))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(726,plain,
% 0.20/0.49 (![X: $i] : (cC154(X) <=> (cTOP(X) & cC152(X))) <=> ![X: $i] : (~(((~cTOP(X)) | (~cC152(X))) <=> cC154(X)))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[725])).
% 0.20/0.49 tff(727,plain,
% 0.20/0.49 (![X: $i] : (cC154(X) <=> (cTOP(X) & cC152(X))) <=> ![X: $i] : (cC154(X) <=> (cTOP(X) & cC152(X)))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(728,axiom,(![X: $i] : (cC154(X) <=> (cTOP(X) & cC152(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_30')).
% 0.20/0.49 tff(729,plain,
% 0.20/0.49 (![X: $i] : (cC154(X) <=> (cTOP(X) & cC152(X)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[728, 727])).
% 0.20/0.49 tff(730,plain,(
% 0.20/0.49 ![X: $i] : (cC154(X) <=> (cTOP(X) & cC152(X)))),
% 0.20/0.49 inference(skolemize,[status(sab)],[729])).
% 0.20/0.49 tff(731,plain,
% 0.20/0.49 (![X: $i] : (~(((~cTOP(X)) | (~cC152(X))) <=> cC154(X)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[730, 726])).
% 0.20/0.49 tff(732,plain,
% 0.20/0.49 (![X: $i] : (~(((~cTOP(X)) | (~cC152(X))) <=> cC154(X)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[731, 724])).
% 0.20/0.49 tff(733,plain,
% 0.20/0.49 (((~![X: $i] : (~(((~cTOP(X)) | (~cC152(X))) <=> cC154(X)))) | (~(((~cC152(iV21026)) | (~cTOP(iV21026))) <=> cC154(iV21026)))) <=> ((~![X: $i] : (~(((~cTOP(X)) | (~cC152(X))) <=> cC154(X)))) | (~(((~cC152(iV21026)) | (~cTOP(iV21026))) <=> cC154(iV21026))))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(734,plain,
% 0.20/0.49 ((~(((~cC152(iV21026)) | (~cTOP(iV21026))) <=> cC154(iV21026))) <=> (~(((~cC152(iV21026)) | (~cTOP(iV21026))) <=> cC154(iV21026)))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(735,plain,
% 0.20/0.49 ((((~cTOP(iV21026)) | (~cC152(iV21026))) <=> cC154(iV21026)) <=> (((~cC152(iV21026)) | (~cTOP(iV21026))) <=> cC154(iV21026))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(736,plain,
% 0.20/0.49 ((~(((~cTOP(iV21026)) | (~cC152(iV21026))) <=> cC154(iV21026))) <=> (~(((~cC152(iV21026)) | (~cTOP(iV21026))) <=> cC154(iV21026)))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[735])).
% 0.20/0.49 tff(737,plain,
% 0.20/0.49 ((~(((~cTOP(iV21026)) | (~cC152(iV21026))) <=> cC154(iV21026))) <=> (~(((~cC152(iV21026)) | (~cTOP(iV21026))) <=> cC154(iV21026)))),
% 0.20/0.49 inference(transitivity,[status(thm)],[736, 734])).
% 0.20/0.49 tff(738,plain,
% 0.20/0.49 (((~![X: $i] : (~(((~cTOP(X)) | (~cC152(X))) <=> cC154(X)))) | (~(((~cTOP(iV21026)) | (~cC152(iV21026))) <=> cC154(iV21026)))) <=> ((~![X: $i] : (~(((~cTOP(X)) | (~cC152(X))) <=> cC154(X)))) | (~(((~cC152(iV21026)) | (~cTOP(iV21026))) <=> cC154(iV21026))))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[737])).
% 0.20/0.49 tff(739,plain,
% 0.20/0.49 (((~![X: $i] : (~(((~cTOP(X)) | (~cC152(X))) <=> cC154(X)))) | (~(((~cTOP(iV21026)) | (~cC152(iV21026))) <=> cC154(iV21026)))) <=> ((~![X: $i] : (~(((~cTOP(X)) | (~cC152(X))) <=> cC154(X)))) | (~(((~cC152(iV21026)) | (~cTOP(iV21026))) <=> cC154(iV21026))))),
% 0.20/0.49 inference(transitivity,[status(thm)],[738, 733])).
% 0.20/0.49 tff(740,plain,
% 0.20/0.49 ((~![X: $i] : (~(((~cTOP(X)) | (~cC152(X))) <=> cC154(X)))) | (~(((~cTOP(iV21026)) | (~cC152(iV21026))) <=> cC154(iV21026)))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(741,plain,
% 0.20/0.49 ((~![X: $i] : (~(((~cTOP(X)) | (~cC152(X))) <=> cC154(X)))) | (~(((~cC152(iV21026)) | (~cTOP(iV21026))) <=> cC154(iV21026)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[740, 739])).
% 0.20/0.49 tff(742,plain,
% 0.20/0.49 (~(((~cC152(iV21026)) | (~cTOP(iV21026))) <=> cC154(iV21026))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[741, 732])).
% 0.20/0.49 tff(743,plain,
% 0.20/0.49 (^[X: $i] : refl((~((cC144(X) | cC150(X)) <=> cC152(X))) <=> (~((cC144(X) | cC150(X)) <=> cC152(X))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(744,plain,
% 0.20/0.49 (![X: $i] : (~((cC144(X) | cC150(X)) <=> cC152(X))) <=> ![X: $i] : (~((cC144(X) | cC150(X)) <=> cC152(X)))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[743])).
% 0.20/0.49 tff(745,plain,
% 0.20/0.49 (^[X: $i] : trans(trans(monotonicity(rewrite(((~cC150(X)) & (~cC144(X))) <=> (~(cC144(X) | cC150(X)))), ((cC152(X) <=> ((~cC150(X)) & (~cC144(X)))) <=> (cC152(X) <=> (~(cC144(X) | cC150(X)))))), rewrite((cC152(X) <=> (~(cC144(X) | cC150(X)))) <=> (~((cC144(X) | cC150(X)) <=> cC152(X)))), ((cC152(X) <=> ((~cC150(X)) & (~cC144(X)))) <=> (~((cC144(X) | cC150(X)) <=> cC152(X))))), rewrite((~((cC144(X) | cC150(X)) <=> cC152(X))) <=> (~((cC144(X) | cC150(X)) <=> cC152(X)))), ((cC152(X) <=> ((~cC150(X)) & (~cC144(X)))) <=> (~((cC144(X) | cC150(X)) <=> cC152(X)))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(746,plain,
% 0.20/0.49 (![X: $i] : (cC152(X) <=> ((~cC150(X)) & (~cC144(X)))) <=> ![X: $i] : (~((cC144(X) | cC150(X)) <=> cC152(X)))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[745])).
% 0.20/0.49 tff(747,plain,
% 0.20/0.49 (![X: $i] : (cC152(X) <=> ((~cC150(X)) & (~cC144(X)))) <=> ![X: $i] : (cC152(X) <=> ((~cC150(X)) & (~cC144(X))))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(748,axiom,(![X: $i] : (cC152(X) <=> ((~cC150(X)) & (~cC144(X))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_29')).
% 0.20/0.49 tff(749,plain,
% 0.20/0.49 (![X: $i] : (cC152(X) <=> ((~cC150(X)) & (~cC144(X))))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[748, 747])).
% 0.20/0.49 tff(750,plain,(
% 0.20/0.49 ![X: $i] : (cC152(X) <=> ((~cC150(X)) & (~cC144(X))))),
% 0.20/0.49 inference(skolemize,[status(sab)],[749])).
% 0.20/0.49 tff(751,plain,
% 0.20/0.49 (![X: $i] : (~((cC144(X) | cC150(X)) <=> cC152(X)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[750, 746])).
% 0.20/0.49 tff(752,plain,
% 0.20/0.49 (![X: $i] : (~((cC144(X) | cC150(X)) <=> cC152(X)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[751, 744])).
% 0.20/0.49 tff(753,plain,
% 0.20/0.49 ((~![X: $i] : (~((cC144(X) | cC150(X)) <=> cC152(X)))) | (~((cC144(iV21026) | cC150(iV21026)) <=> cC152(iV21026)))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(754,plain,
% 0.20/0.49 (~((cC144(iV21026) | cC150(iV21026)) <=> cC152(iV21026))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[753, 752])).
% 0.20/0.49 tff(755,plain,
% 0.20/0.49 ((~cC144(iV21026)) <=> (~cC144(iV21026))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(756,axiom,(~cC144(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_111')).
% 0.20/0.49 tff(757,plain,
% 0.20/0.49 (~cC144(iV21026)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[756, 755])).
% 0.20/0.49 tff(758,plain,
% 0.20/0.49 ((~cC150(iV21026)) <=> (~cC150(iV21026))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(759,axiom,(~cC150(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_108')).
% 0.20/0.49 tff(760,plain,
% 0.20/0.49 (~cC150(iV21026)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[759, 758])).
% 0.20/0.49 tff(761,plain,
% 0.20/0.49 ((~(cC144(iV21026) | cC150(iV21026))) | cC144(iV21026) | cC150(iV21026)),
% 0.20/0.49 inference(tautology,[status(thm)],[])).
% 0.20/0.49 tff(762,plain,
% 0.20/0.49 (~(cC144(iV21026) | cC150(iV21026))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[761, 760, 757])).
% 0.20/0.49 tff(763,plain,
% 0.20/0.49 (((cC144(iV21026) | cC150(iV21026)) <=> cC152(iV21026)) | (cC144(iV21026) | cC150(iV21026)) | cC152(iV21026)),
% 0.20/0.49 inference(tautology,[status(thm)],[])).
% 0.20/0.49 tff(764,plain,
% 0.20/0.49 (((cC144(iV21026) | cC150(iV21026)) <=> cC152(iV21026)) | cC152(iV21026)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[763, 762])).
% 0.20/0.49 tff(765,plain,
% 0.20/0.49 (cC152(iV21026)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[764, 754])).
% 0.20/0.49 tff(766,plain,
% 0.20/0.49 ((~((~cC152(iV21026)) | (~cTOP(iV21026)))) | (~cC152(iV21026)) | (~cTOP(iV21026))),
% 0.20/0.49 inference(tautology,[status(thm)],[])).
% 0.20/0.49 tff(767,plain,
% 0.20/0.49 ((~((~cC152(iV21026)) | (~cTOP(iV21026)))) | (~cC152(iV21026))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[766, 269])).
% 0.20/0.49 tff(768,plain,
% 0.20/0.49 (~((~cC152(iV21026)) | (~cTOP(iV21026)))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[767, 765])).
% 0.20/0.49 tff(769,plain,
% 0.20/0.49 ((((~cC152(iV21026)) | (~cTOP(iV21026))) <=> cC154(iV21026)) | ((~cC152(iV21026)) | (~cTOP(iV21026))) | cC154(iV21026)),
% 0.20/0.49 inference(tautology,[status(thm)],[])).
% 0.20/0.49 tff(770,plain,
% 0.20/0.49 (cC154(iV21026)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[769, 768, 742])).
% 0.20/0.49 tff(771,plain,
% 0.20/0.49 (^[X: $i] : refl((~((cC122(X) | cC128(X)) <=> cC130(X))) <=> (~((cC122(X) | cC128(X)) <=> cC130(X))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(772,plain,
% 0.20/0.49 (![X: $i] : (~((cC122(X) | cC128(X)) <=> cC130(X))) <=> ![X: $i] : (~((cC122(X) | cC128(X)) <=> cC130(X)))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[771])).
% 0.20/0.49 tff(773,plain,
% 0.20/0.49 (^[X: $i] : trans(trans(monotonicity(rewrite(((~cC122(X)) & (~cC128(X))) <=> (~(cC122(X) | cC128(X)))), ((cC130(X) <=> ((~cC122(X)) & (~cC128(X)))) <=> (cC130(X) <=> (~(cC122(X) | cC128(X)))))), rewrite((cC130(X) <=> (~(cC122(X) | cC128(X)))) <=> (~((cC122(X) | cC128(X)) <=> cC130(X)))), ((cC130(X) <=> ((~cC122(X)) & (~cC128(X)))) <=> (~((cC122(X) | cC128(X)) <=> cC130(X))))), rewrite((~((cC122(X) | cC128(X)) <=> cC130(X))) <=> (~((cC122(X) | cC128(X)) <=> cC130(X)))), ((cC130(X) <=> ((~cC122(X)) & (~cC128(X)))) <=> (~((cC122(X) | cC128(X)) <=> cC130(X)))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(774,plain,
% 0.20/0.49 (![X: $i] : (cC130(X) <=> ((~cC122(X)) & (~cC128(X)))) <=> ![X: $i] : (~((cC122(X) | cC128(X)) <=> cC130(X)))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[773])).
% 0.20/0.49 tff(775,plain,
% 0.20/0.49 (![X: $i] : (cC130(X) <=> ((~cC122(X)) & (~cC128(X)))) <=> ![X: $i] : (cC130(X) <=> ((~cC122(X)) & (~cC128(X))))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(776,axiom,(![X: $i] : (cC130(X) <=> ((~cC122(X)) & (~cC128(X))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_17')).
% 0.20/0.49 tff(777,plain,
% 0.20/0.49 (![X: $i] : (cC130(X) <=> ((~cC122(X)) & (~cC128(X))))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[776, 775])).
% 0.20/0.49 tff(778,plain,(
% 0.20/0.49 ![X: $i] : (cC130(X) <=> ((~cC122(X)) & (~cC128(X))))),
% 0.20/0.49 inference(skolemize,[status(sab)],[777])).
% 0.20/0.49 tff(779,plain,
% 0.20/0.49 (![X: $i] : (~((cC122(X) | cC128(X)) <=> cC130(X)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[778, 774])).
% 0.20/0.49 tff(780,plain,
% 0.20/0.49 (![X: $i] : (~((cC122(X) | cC128(X)) <=> cC130(X)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[779, 772])).
% 0.20/0.49 tff(781,plain,
% 0.20/0.49 ((~![X: $i] : (~((cC122(X) | cC128(X)) <=> cC130(X)))) | (~((cC122(iV21026) | cC128(iV21026)) <=> cC130(iV21026)))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(782,plain,
% 0.20/0.49 (~((cC122(iV21026) | cC128(iV21026)) <=> cC130(iV21026))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[781, 780])).
% 0.20/0.49 tff(783,plain,
% 0.20/0.49 ((~cC128(iV21026)) <=> (~cC128(iV21026))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(784,axiom,(~cC128(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_115')).
% 0.20/0.49 tff(785,plain,
% 0.20/0.49 (~cC128(iV21026)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[784, 783])).
% 0.20/0.49 tff(786,plain,
% 0.20/0.49 ((~cC122(iV21026)) <=> (~cC122(iV21026))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(787,axiom,(~cC122(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_92')).
% 0.20/0.49 tff(788,plain,
% 0.20/0.49 (~cC122(iV21026)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[787, 786])).
% 0.20/0.49 tff(789,plain,
% 0.20/0.49 ((~(cC122(iV21026) | cC128(iV21026))) | cC122(iV21026) | cC128(iV21026)),
% 0.20/0.49 inference(tautology,[status(thm)],[])).
% 0.20/0.49 tff(790,plain,
% 0.20/0.49 (~(cC122(iV21026) | cC128(iV21026))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[789, 788, 785])).
% 0.20/0.49 tff(791,plain,
% 0.20/0.49 (((cC122(iV21026) | cC128(iV21026)) <=> cC130(iV21026)) | (cC122(iV21026) | cC128(iV21026)) | cC130(iV21026)),
% 0.20/0.49 inference(tautology,[status(thm)],[])).
% 0.20/0.49 tff(792,plain,
% 0.20/0.49 (((cC122(iV21026) | cC128(iV21026)) <=> cC130(iV21026)) | cC130(iV21026)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[791, 790])).
% 0.20/0.49 tff(793,plain,
% 0.20/0.49 (cC130(iV21026)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[792, 782])).
% 0.20/0.49 tff(794,plain,
% 0.20/0.49 (^[X: $i] : refl((~(((~cTOP(X)) | (~cC130(X))) <=> cC132(X))) <=> (~(((~cTOP(X)) | (~cC130(X))) <=> cC132(X))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(795,plain,
% 0.20/0.49 (![X: $i] : (~(((~cTOP(X)) | (~cC130(X))) <=> cC132(X))) <=> ![X: $i] : (~(((~cTOP(X)) | (~cC130(X))) <=> cC132(X)))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[794])).
% 0.20/0.49 tff(796,plain,
% 0.20/0.49 (^[X: $i] : trans(trans(monotonicity(rewrite((cTOP(X) & cC130(X)) <=> (~((~cTOP(X)) | (~cC130(X))))), ((cC132(X) <=> (cTOP(X) & cC130(X))) <=> (cC132(X) <=> (~((~cTOP(X)) | (~cC130(X))))))), rewrite((cC132(X) <=> (~((~cTOP(X)) | (~cC130(X))))) <=> (~(((~cTOP(X)) | (~cC130(X))) <=> cC132(X)))), ((cC132(X) <=> (cTOP(X) & cC130(X))) <=> (~(((~cTOP(X)) | (~cC130(X))) <=> cC132(X))))), rewrite((~(((~cTOP(X)) | (~cC130(X))) <=> cC132(X))) <=> (~(((~cTOP(X)) | (~cC130(X))) <=> cC132(X)))), ((cC132(X) <=> (cTOP(X) & cC130(X))) <=> (~(((~cTOP(X)) | (~cC130(X))) <=> cC132(X)))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(797,plain,
% 0.20/0.49 (![X: $i] : (cC132(X) <=> (cTOP(X) & cC130(X))) <=> ![X: $i] : (~(((~cTOP(X)) | (~cC130(X))) <=> cC132(X)))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[796])).
% 0.20/0.49 tff(798,plain,
% 0.20/0.49 (![X: $i] : (cC132(X) <=> (cTOP(X) & cC130(X))) <=> ![X: $i] : (cC132(X) <=> (cTOP(X) & cC130(X)))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(799,axiom,(![X: $i] : (cC132(X) <=> (cTOP(X) & cC130(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_18')).
% 0.20/0.49 tff(800,plain,
% 0.20/0.49 (![X: $i] : (cC132(X) <=> (cTOP(X) & cC130(X)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[799, 798])).
% 0.20/0.49 tff(801,plain,(
% 0.20/0.49 ![X: $i] : (cC132(X) <=> (cTOP(X) & cC130(X)))),
% 0.20/0.49 inference(skolemize,[status(sab)],[800])).
% 0.20/0.49 tff(802,plain,
% 0.20/0.49 (![X: $i] : (~(((~cTOP(X)) | (~cC130(X))) <=> cC132(X)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[801, 797])).
% 0.20/0.49 tff(803,plain,
% 0.20/0.49 (![X: $i] : (~(((~cTOP(X)) | (~cC130(X))) <=> cC132(X)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[802, 795])).
% 0.20/0.49 tff(804,plain,
% 0.20/0.49 (((~![X: $i] : (~(((~cTOP(X)) | (~cC130(X))) <=> cC132(X)))) | (~(((~cC130(iV21026)) | (~cTOP(iV21026))) <=> cC132(iV21026)))) <=> ((~![X: $i] : (~(((~cTOP(X)) | (~cC130(X))) <=> cC132(X)))) | (~(((~cC130(iV21026)) | (~cTOP(iV21026))) <=> cC132(iV21026))))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(805,plain,
% 0.20/0.49 ((~(((~cC130(iV21026)) | (~cTOP(iV21026))) <=> cC132(iV21026))) <=> (~(((~cC130(iV21026)) | (~cTOP(iV21026))) <=> cC132(iV21026)))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(806,plain,
% 0.20/0.49 ((((~cTOP(iV21026)) | (~cC130(iV21026))) <=> cC132(iV21026)) <=> (((~cC130(iV21026)) | (~cTOP(iV21026))) <=> cC132(iV21026))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(807,plain,
% 0.20/0.49 ((~(((~cTOP(iV21026)) | (~cC130(iV21026))) <=> cC132(iV21026))) <=> (~(((~cC130(iV21026)) | (~cTOP(iV21026))) <=> cC132(iV21026)))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[806])).
% 0.20/0.49 tff(808,plain,
% 0.20/0.49 ((~(((~cTOP(iV21026)) | (~cC130(iV21026))) <=> cC132(iV21026))) <=> (~(((~cC130(iV21026)) | (~cTOP(iV21026))) <=> cC132(iV21026)))),
% 0.20/0.49 inference(transitivity,[status(thm)],[807, 805])).
% 0.20/0.49 tff(809,plain,
% 0.20/0.49 (((~![X: $i] : (~(((~cTOP(X)) | (~cC130(X))) <=> cC132(X)))) | (~(((~cTOP(iV21026)) | (~cC130(iV21026))) <=> cC132(iV21026)))) <=> ((~![X: $i] : (~(((~cTOP(X)) | (~cC130(X))) <=> cC132(X)))) | (~(((~cC130(iV21026)) | (~cTOP(iV21026))) <=> cC132(iV21026))))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[808])).
% 0.20/0.50 tff(810,plain,
% 0.20/0.50 (((~![X: $i] : (~(((~cTOP(X)) | (~cC130(X))) <=> cC132(X)))) | (~(((~cTOP(iV21026)) | (~cC130(iV21026))) <=> cC132(iV21026)))) <=> ((~![X: $i] : (~(((~cTOP(X)) | (~cC130(X))) <=> cC132(X)))) | (~(((~cC130(iV21026)) | (~cTOP(iV21026))) <=> cC132(iV21026))))),
% 0.20/0.50 inference(transitivity,[status(thm)],[809, 804])).
% 0.20/0.50 tff(811,plain,
% 0.20/0.50 ((~![X: $i] : (~(((~cTOP(X)) | (~cC130(X))) <=> cC132(X)))) | (~(((~cTOP(iV21026)) | (~cC130(iV21026))) <=> cC132(iV21026)))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(812,plain,
% 0.20/0.50 ((~![X: $i] : (~(((~cTOP(X)) | (~cC130(X))) <=> cC132(X)))) | (~(((~cC130(iV21026)) | (~cTOP(iV21026))) <=> cC132(iV21026)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[811, 810])).
% 0.20/0.50 tff(813,plain,
% 0.20/0.50 (~(((~cC130(iV21026)) | (~cTOP(iV21026))) <=> cC132(iV21026))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[812, 803])).
% 0.20/0.50 tff(814,plain,
% 0.20/0.50 ((~((~cC130(iV21026)) | (~cTOP(iV21026)))) | (~cC130(iV21026)) | (~cTOP(iV21026))),
% 0.20/0.50 inference(tautology,[status(thm)],[])).
% 0.20/0.50 tff(815,plain,
% 0.20/0.50 ((~((~cC130(iV21026)) | (~cTOP(iV21026)))) | (~cC130(iV21026))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[814, 269])).
% 0.20/0.50 tff(816,plain,
% 0.20/0.50 (~((~cC130(iV21026)) | (~cTOP(iV21026)))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[815, 793])).
% 0.20/0.50 tff(817,plain,
% 0.20/0.50 ((((~cC130(iV21026)) | (~cTOP(iV21026))) <=> cC132(iV21026)) | ((~cC130(iV21026)) | (~cTOP(iV21026))) | cC132(iV21026)),
% 0.20/0.50 inference(tautology,[status(thm)],[])).
% 0.20/0.50 tff(818,plain,
% 0.20/0.50 (cC132(iV21026)),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[817, 816, 813])).
% 0.20/0.50 tff(819,plain,
% 0.20/0.50 (^[X: $i] : refl((~((cC162(X) | cC166(X)) <=> cC168(X))) <=> (~((cC162(X) | cC166(X)) <=> cC168(X))))),
% 0.20/0.50 inference(bind,[status(th)],[])).
% 0.20/0.50 tff(820,plain,
% 0.20/0.50 (![X: $i] : (~((cC162(X) | cC166(X)) <=> cC168(X))) <=> ![X: $i] : (~((cC162(X) | cC166(X)) <=> cC168(X)))),
% 0.20/0.50 inference(quant_intro,[status(thm)],[819])).
% 0.20/0.50 tff(821,plain,
% 0.20/0.50 (^[X: $i] : trans(trans(monotonicity(rewrite(((~cC166(X)) & (~cC162(X))) <=> (~(cC162(X) | cC166(X)))), ((cC168(X) <=> ((~cC166(X)) & (~cC162(X)))) <=> (cC168(X) <=> (~(cC162(X) | cC166(X)))))), rewrite((cC168(X) <=> (~(cC162(X) | cC166(X)))) <=> (~((cC162(X) | cC166(X)) <=> cC168(X)))), ((cC168(X) <=> ((~cC166(X)) & (~cC162(X)))) <=> (~((cC162(X) | cC166(X)) <=> cC168(X))))), rewrite((~((cC162(X) | cC166(X)) <=> cC168(X))) <=> (~((cC162(X) | cC166(X)) <=> cC168(X)))), ((cC168(X) <=> ((~cC166(X)) & (~cC162(X)))) <=> (~((cC162(X) | cC166(X)) <=> cC168(X)))))),
% 0.20/0.50 inference(bind,[status(th)],[])).
% 0.20/0.50 tff(822,plain,
% 0.20/0.50 (![X: $i] : (cC168(X) <=> ((~cC166(X)) & (~cC162(X)))) <=> ![X: $i] : (~((cC162(X) | cC166(X)) <=> cC168(X)))),
% 0.20/0.50 inference(quant_intro,[status(thm)],[821])).
% 0.20/0.50 tff(823,plain,
% 0.20/0.50 (![X: $i] : (cC168(X) <=> ((~cC166(X)) & (~cC162(X)))) <=> ![X: $i] : (cC168(X) <=> ((~cC166(X)) & (~cC162(X))))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(824,axiom,(![X: $i] : (cC168(X) <=> ((~cC166(X)) & (~cC162(X))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_38')).
% 0.20/0.50 tff(825,plain,
% 0.20/0.50 (![X: $i] : (cC168(X) <=> ((~cC166(X)) & (~cC162(X))))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[824, 823])).
% 0.20/0.50 tff(826,plain,(
% 0.20/0.50 ![X: $i] : (cC168(X) <=> ((~cC166(X)) & (~cC162(X))))),
% 0.20/0.50 inference(skolemize,[status(sab)],[825])).
% 0.20/0.50 tff(827,plain,
% 0.20/0.50 (![X: $i] : (~((cC162(X) | cC166(X)) <=> cC168(X)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[826, 822])).
% 0.20/0.50 tff(828,plain,
% 0.20/0.50 (![X: $i] : (~((cC162(X) | cC166(X)) <=> cC168(X)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[827, 820])).
% 0.20/0.50 tff(829,plain,
% 0.20/0.50 ((~![X: $i] : (~((cC162(X) | cC166(X)) <=> cC168(X)))) | (~((cC162(iV21026) | cC166(iV21026)) <=> cC168(iV21026)))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(830,plain,
% 0.20/0.50 (~((cC162(iV21026) | cC166(iV21026)) <=> cC168(iV21026))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[829, 828])).
% 0.20/0.50 tff(831,plain,
% 0.20/0.50 ((~cC166(iV21026)) <=> (~cC166(iV21026))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(832,axiom,(~cC166(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_101')).
% 0.20/0.50 tff(833,plain,
% 0.20/0.50 (~cC166(iV21026)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[832, 831])).
% 0.20/0.50 tff(834,plain,
% 0.20/0.50 ((~cC162(iV21026)) <=> (~cC162(iV21026))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(835,axiom,(~cC162(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_100')).
% 0.20/0.50 tff(836,plain,
% 0.20/0.50 (~cC162(iV21026)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[835, 834])).
% 0.20/0.50 tff(837,plain,
% 0.20/0.50 ((~(cC162(iV21026) | cC166(iV21026))) | cC162(iV21026) | cC166(iV21026)),
% 0.20/0.50 inference(tautology,[status(thm)],[])).
% 0.20/0.50 tff(838,plain,
% 0.20/0.50 (~(cC162(iV21026) | cC166(iV21026))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[837, 836, 833])).
% 0.20/0.50 tff(839,plain,
% 0.20/0.50 (((cC162(iV21026) | cC166(iV21026)) <=> cC168(iV21026)) | (cC162(iV21026) | cC166(iV21026)) | cC168(iV21026)),
% 0.20/0.50 inference(tautology,[status(thm)],[])).
% 0.20/0.50 tff(840,plain,
% 0.20/0.50 (((cC162(iV21026) | cC166(iV21026)) <=> cC168(iV21026)) | cC168(iV21026)),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[839, 838])).
% 0.20/0.50 tff(841,plain,
% 0.20/0.50 (cC168(iV21026)),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[840, 830])).
% 0.20/0.50 tff(842,plain,
% 0.20/0.50 (((~cC16(iV21026)) | (~cC20(iV21026))) | cC20(iV21026)),
% 0.20/0.50 inference(tautology,[status(thm)],[])).
% 0.20/0.50 tff(843,plain,
% 0.20/0.50 (cC20(iV21026)),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[842, 546])).
% 0.20/0.50 tff(844,plain,
% 0.20/0.50 (^[X: $i] : refl((~((cC172(X) | (~cC168(X))) <=> cC174(X))) <=> (~((cC172(X) | (~cC168(X))) <=> cC174(X))))),
% 0.20/0.50 inference(bind,[status(th)],[])).
% 0.20/0.50 tff(845,plain,
% 0.20/0.50 (![X: $i] : (~((cC172(X) | (~cC168(X))) <=> cC174(X))) <=> ![X: $i] : (~((cC172(X) | (~cC168(X))) <=> cC174(X)))),
% 0.20/0.50 inference(quant_intro,[status(thm)],[844])).
% 0.20/0.50 tff(846,plain,
% 0.20/0.50 (^[X: $i] : trans(trans(monotonicity(rewrite((cC168(X) & (~cC172(X))) <=> (~(cC172(X) | (~cC168(X))))), ((cC174(X) <=> (cC168(X) & (~cC172(X)))) <=> (cC174(X) <=> (~(cC172(X) | (~cC168(X))))))), rewrite((cC174(X) <=> (~(cC172(X) | (~cC168(X))))) <=> (~((cC172(X) | (~cC168(X))) <=> cC174(X)))), ((cC174(X) <=> (cC168(X) & (~cC172(X)))) <=> (~((cC172(X) | (~cC168(X))) <=> cC174(X))))), rewrite((~((cC172(X) | (~cC168(X))) <=> cC174(X))) <=> (~((cC172(X) | (~cC168(X))) <=> cC174(X)))), ((cC174(X) <=> (cC168(X) & (~cC172(X)))) <=> (~((cC172(X) | (~cC168(X))) <=> cC174(X)))))),
% 0.20/0.50 inference(bind,[status(th)],[])).
% 0.20/0.50 tff(847,plain,
% 0.20/0.50 (![X: $i] : (cC174(X) <=> (cC168(X) & (~cC172(X)))) <=> ![X: $i] : (~((cC172(X) | (~cC168(X))) <=> cC174(X)))),
% 0.20/0.50 inference(quant_intro,[status(thm)],[846])).
% 0.20/0.50 tff(848,plain,
% 0.20/0.50 (![X: $i] : (cC174(X) <=> (cC168(X) & (~cC172(X)))) <=> ![X: $i] : (cC174(X) <=> (cC168(X) & (~cC172(X))))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(849,axiom,(![X: $i] : (cC174(X) <=> (cC168(X) & (~cC172(X))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_41')).
% 0.20/0.50 tff(850,plain,
% 0.20/0.50 (![X: $i] : (cC174(X) <=> (cC168(X) & (~cC172(X))))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[849, 848])).
% 0.20/0.50 tff(851,plain,(
% 0.20/0.50 ![X: $i] : (cC174(X) <=> (cC168(X) & (~cC172(X))))),
% 0.20/0.50 inference(skolemize,[status(sab)],[850])).
% 0.20/0.50 tff(852,plain,
% 0.20/0.50 (![X: $i] : (~((cC172(X) | (~cC168(X))) <=> cC174(X)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[851, 847])).
% 0.20/0.50 tff(853,plain,
% 0.20/0.50 (![X: $i] : (~((cC172(X) | (~cC168(X))) <=> cC174(X)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[852, 845])).
% 0.20/0.50 tff(854,plain,
% 0.20/0.50 ((~![X: $i] : (~((cC172(X) | (~cC168(X))) <=> cC174(X)))) | (~((cC172(iV21026) | (~cC168(iV21026))) <=> cC174(iV21026)))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(855,plain,
% 0.20/0.50 (~((cC172(iV21026) | (~cC168(iV21026))) <=> cC174(iV21026))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[854, 853])).
% 0.20/0.50 tff(856,plain,
% 0.20/0.50 ((~cC172(iV21026)) <=> (~cC172(iV21026))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(857,axiom,(~cC172(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_116')).
% 0.20/0.50 tff(858,plain,
% 0.20/0.50 (~cC172(iV21026)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[857, 856])).
% 0.20/0.50 tff(859,plain,
% 0.20/0.50 ((~(cC172(iV21026) | (~cC168(iV21026)))) | cC172(iV21026) | (~cC168(iV21026))),
% 0.20/0.50 inference(tautology,[status(thm)],[])).
% 0.20/0.50 tff(860,plain,
% 0.20/0.50 ((~(cC172(iV21026) | (~cC168(iV21026)))) | (~cC168(iV21026))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[859, 858])).
% 0.20/0.50 tff(861,plain,
% 0.20/0.50 (~(cC172(iV21026) | (~cC168(iV21026)))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[860, 841])).
% 0.20/0.50 tff(862,plain,
% 0.20/0.50 (((cC172(iV21026) | (~cC168(iV21026))) <=> cC174(iV21026)) | (cC172(iV21026) | (~cC168(iV21026))) | cC174(iV21026)),
% 0.20/0.50 inference(tautology,[status(thm)],[])).
% 0.20/0.50 tff(863,plain,
% 0.20/0.50 (cC174(iV21026)),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[862, 861, 855])).
% 0.20/0.50 tff(864,plain,
% 0.20/0.50 (cowlThing(iV21030) <=> cowlThing(iV21030)),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(865,axiom,(cowlThing(iV21030)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_207')).
% 0.20/0.50 tff(866,plain,
% 0.20/0.50 (cowlThing(iV21030)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[865, 864])).
% 0.20/0.50 tff(867,plain,
% 0.20/0.50 (cowlThing(iV21029) <=> cowlThing(iV21029)),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(868,axiom,(cowlThing(iV21029)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_180')).
% 0.20/0.50 tff(869,plain,
% 0.20/0.50 (cowlThing(iV21029)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[868, 867])).
% 0.20/0.50 tff(870,plain,
% 0.20/0.50 (cowlThing(iV21027) <=> cowlThing(iV21027)),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(871,axiom,(cowlThing(iV21027)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_151')).
% 0.20/0.50 tff(872,plain,
% 0.20/0.50 (cowlThing(iV21027)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[871, 870])).
% 0.20/0.50 tff(873,plain,
% 0.20/0.50 (cowlThing(iV21026) <=> cowlThing(iV21026)),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(874,axiom,(cowlThing(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_120')).
% 0.20/0.50 tff(875,plain,
% 0.20/0.50 (cowlThing(iV21026)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[874, 873])).
% 0.20/0.50 tff(876,plain,
% 0.20/0.50 (((cowlNothing(X!22) | (~cowlThing(X!22))) | (xsd_integer(X!23) <=> xsd_string(X!23)) | (~cowlThing(iV21026)) | (~cC84(iV21026)) | (~cC16(iV21026)) | (~cC36(iV21026)) | (~cC42(iV21026)) | (~cC88(iV21026)) | (~cC86(iV21026)) | (~cC174(iV21026)) | (~cC20(iV21026)) | (~cC156(iV21026)) | (~cC60(iV21026)) | (~cC38(iV21026)) | (~cC158(iV21026)) | (~cC10(iV21026)) | (~cC134(iV21026)) | (~cC22(iV21026)) | (~cC168(iV21026)) | (~cC56(iV21026)) | (~cC78(iV21026)) | (~cC58(iV21026)) | (~cC152(iV21026)) | (~cC40(iV21026)) | (~cC132(iV21026)) | (~cC130(iV21026)) | (~cC62(iV21026)) | (~cC154(iV21026)) | (~cC80(iV21026)) | (~cC8(iV21026)) | (~cC136(iV21026)) | (~cC112(iV21026)) | (~cC180(iV21026)) | (~cC114(iV21026)) | (~cC64(iV21026)) | (~cC110(iV21026)) | (~cC116(iV21026)) | (~cC82(iV21026)) | (~cC138(iV21026)) | (~cC4(iV21026)) | (~cC108(iV21026)) | (~cC14(iV21026)) | (~cC90(iV21026)) | (~cowlThing(iV21027)) | (~cC30(iV21027)) | (~cC24(iV21027)) | (~cowlThing(iV21029)) | (~cC50(iV21029)) | (~cC44(iV21029)) | (~cowlThing(iV21030)) | (~cC66(iV21030)) | (~cC72(iV21030))) <=> (cowlNothing(X!22) | (xsd_integer(X!23) <=> xsd_string(X!23)) | (~cowlThing(iV21026)) | (~cC84(iV21026)) | (~cC16(iV21026)) | (~cC36(iV21026)) | (~cC42(iV21026)) | (~cC88(iV21026)) | (~cC86(iV21026)) | (~cC174(iV21026)) | (~cC20(iV21026)) | (~cC156(iV21026)) | (~cC60(iV21026)) | (~cC38(iV21026)) | (~cC158(iV21026)) | (~cC10(iV21026)) | (~cC134(iV21026)) | (~cC22(iV21026)) | (~cC168(iV21026)) | (~cC56(iV21026)) | (~cC78(iV21026)) | (~cC58(iV21026)) | (~cC152(iV21026)) | (~cC40(iV21026)) | (~cC132(iV21026)) | (~cC130(iV21026)) | (~cC62(iV21026)) | (~cC154(iV21026)) | (~cC80(iV21026)) | (~cC8(iV21026)) | (~cC136(iV21026)) | (~cC112(iV21026)) | (~cC180(iV21026)) | (~cC114(iV21026)) | (~cC64(iV21026)) | (~cC110(iV21026)) | (~cC116(iV21026)) | (~cC82(iV21026)) | (~cC138(iV21026)) | (~cC4(iV21026)) | (~cC108(iV21026)) | (~cC14(iV21026)) | (~cC90(iV21026)) | (~cowlThing(iV21027)) | (~cC30(iV21027)) | (~cC24(iV21027)) | (~cowlThing(iV21029)) | (~cC50(iV21029)) | (~cC44(iV21029)) | (~cowlThing(iV21030)) | (~cC66(iV21030)) | (~cC72(iV21030)) | (~cowlThing(X!22)))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(877,plain,
% 0.20/0.50 ((~(~(cowlNothing(X!22) | (~cowlThing(X!22))))) <=> (cowlNothing(X!22) | (~cowlThing(X!22)))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(878,plain,
% 0.20/0.50 ((cowlThing(X!22) & (~cowlNothing(X!22))) <=> (~(cowlNothing(X!22) | (~cowlThing(X!22))))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(879,plain,
% 0.20/0.50 ((~(cowlThing(X!22) & (~cowlNothing(X!22)))) <=> (~(~(cowlNothing(X!22) | (~cowlThing(X!22)))))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[878])).
% 0.20/0.50 tff(880,plain,
% 0.20/0.50 ((~(cowlThing(X!22) & (~cowlNothing(X!22)))) <=> (cowlNothing(X!22) | (~cowlThing(X!22)))),
% 0.20/0.50 inference(transitivity,[status(thm)],[879, 877])).
% 0.20/0.50 tff(881,plain,
% 0.20/0.50 (((~(cowlThing(X!22) & (~cowlNothing(X!22)))) | (xsd_integer(X!23) <=> xsd_string(X!23)) | (~cowlThing(iV21026)) | (~cC84(iV21026)) | (~cC16(iV21026)) | (~cC36(iV21026)) | (~cC42(iV21026)) | (~cC88(iV21026)) | (~cC86(iV21026)) | (~cC174(iV21026)) | (~cC20(iV21026)) | (~cC156(iV21026)) | (~cC60(iV21026)) | (~cC38(iV21026)) | (~cC158(iV21026)) | (~cC10(iV21026)) | (~cC134(iV21026)) | (~cC22(iV21026)) | (~cC168(iV21026)) | (~cC56(iV21026)) | (~cC78(iV21026)) | (~cC58(iV21026)) | (~cC152(iV21026)) | (~cC40(iV21026)) | (~cC132(iV21026)) | (~cC130(iV21026)) | (~cC62(iV21026)) | (~cC154(iV21026)) | (~cC80(iV21026)) | (~cC8(iV21026)) | (~cC136(iV21026)) | (~cC112(iV21026)) | (~cC180(iV21026)) | (~cC114(iV21026)) | (~cC64(iV21026)) | (~cC110(iV21026)) | (~cC116(iV21026)) | (~cC82(iV21026)) | (~cC138(iV21026)) | (~cC4(iV21026)) | (~cC108(iV21026)) | (~cC14(iV21026)) | (~cC90(iV21026)) | (~cowlThing(iV21027)) | (~cC30(iV21027)) | (~cC24(iV21027)) | (~cowlThing(iV21029)) | (~cC50(iV21029)) | (~cC44(iV21029)) | (~cowlThing(iV21030)) | (~cC66(iV21030)) | (~cC72(iV21030))) <=> ((cowlNothing(X!22) | (~cowlThing(X!22))) | (xsd_integer(X!23) <=> xsd_string(X!23)) | (~cowlThing(iV21026)) | (~cC84(iV21026)) | (~cC16(iV21026)) | (~cC36(iV21026)) | (~cC42(iV21026)) | (~cC88(iV21026)) | (~cC86(iV21026)) | (~cC174(iV21026)) | (~cC20(iV21026)) | (~cC156(iV21026)) | (~cC60(iV21026)) | (~cC38(iV21026)) | (~cC158(iV21026)) | (~cC10(iV21026)) | (~cC134(iV21026)) | (~cC22(iV21026)) | (~cC168(iV21026)) | (~cC56(iV21026)) | (~cC78(iV21026)) | (~cC58(iV21026)) | (~cC152(iV21026)) | (~cC40(iV21026)) | (~cC132(iV21026)) | (~cC130(iV21026)) | (~cC62(iV21026)) | (~cC154(iV21026)) | (~cC80(iV21026)) | (~cC8(iV21026)) | (~cC136(iV21026)) | (~cC112(iV21026)) | (~cC180(iV21026)) | (~cC114(iV21026)) | (~cC64(iV21026)) | (~cC110(iV21026)) | (~cC116(iV21026)) | (~cC82(iV21026)) | (~cC138(iV21026)) | (~cC4(iV21026)) | (~cC108(iV21026)) | (~cC14(iV21026)) | (~cC90(iV21026)) | (~cowlThing(iV21027)) | (~cC30(iV21027)) | (~cC24(iV21027)) | (~cowlThing(iV21029)) | (~cC50(iV21029)) | (~cC44(iV21029)) | (~cowlThing(iV21030)) | (~cC66(iV21030)) | (~cC72(iV21030)))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[880])).
% 0.20/0.50 tff(882,plain,
% 0.20/0.50 (((~(cowlThing(X!22) & (~cowlNothing(X!22)))) | (xsd_integer(X!23) <=> xsd_string(X!23)) | (~cowlThing(iV21026)) | (~cC84(iV21026)) | (~cC16(iV21026)) | (~cC36(iV21026)) | (~cC42(iV21026)) | (~cC88(iV21026)) | (~cC86(iV21026)) | (~cC174(iV21026)) | (~cC20(iV21026)) | (~cC156(iV21026)) | (~cC60(iV21026)) | (~cC38(iV21026)) | (~cC158(iV21026)) | (~cC10(iV21026)) | (~cC134(iV21026)) | (~cC22(iV21026)) | (~cC168(iV21026)) | (~cC56(iV21026)) | (~cC78(iV21026)) | (~cC58(iV21026)) | (~cC152(iV21026)) | (~cC40(iV21026)) | (~cC132(iV21026)) | (~cC130(iV21026)) | (~cC62(iV21026)) | (~cC154(iV21026)) | (~cC80(iV21026)) | (~cC8(iV21026)) | (~cC136(iV21026)) | (~cC112(iV21026)) | (~cC180(iV21026)) | (~cC114(iV21026)) | (~cC64(iV21026)) | (~cC110(iV21026)) | (~cC116(iV21026)) | (~cC82(iV21026)) | (~cC138(iV21026)) | (~cC4(iV21026)) | (~cC108(iV21026)) | (~cC14(iV21026)) | (~cC90(iV21026)) | (~cowlThing(iV21027)) | (~cC30(iV21027)) | (~cC24(iV21027)) | (~cowlThing(iV21029)) | (~cC50(iV21029)) | (~cC44(iV21029)) | (~cowlThing(iV21030)) | (~cC66(iV21030)) | (~cC72(iV21030))) <=> (cowlNothing(X!22) | (xsd_integer(X!23) <=> xsd_string(X!23)) | (~cowlThing(iV21026)) | (~cC84(iV21026)) | (~cC16(iV21026)) | (~cC36(iV21026)) | (~cC42(iV21026)) | (~cC88(iV21026)) | (~cC86(iV21026)) | (~cC174(iV21026)) | (~cC20(iV21026)) | (~cC156(iV21026)) | (~cC60(iV21026)) | (~cC38(iV21026)) | (~cC158(iV21026)) | (~cC10(iV21026)) | (~cC134(iV21026)) | (~cC22(iV21026)) | (~cC168(iV21026)) | (~cC56(iV21026)) | (~cC78(iV21026)) | (~cC58(iV21026)) | (~cC152(iV21026)) | (~cC40(iV21026)) | (~cC132(iV21026)) | (~cC130(iV21026)) | (~cC62(iV21026)) | (~cC154(iV21026)) | (~cC80(iV21026)) | (~cC8(iV21026)) | (~cC136(iV21026)) | (~cC112(iV21026)) | (~cC180(iV21026)) | (~cC114(iV21026)) | (~cC64(iV21026)) | (~cC110(iV21026)) | (~cC116(iV21026)) | (~cC82(iV21026)) | (~cC138(iV21026)) | (~cC4(iV21026)) | (~cC108(iV21026)) | (~cC14(iV21026)) | (~cC90(iV21026)) | (~cowlThing(iV21027)) | (~cC30(iV21027)) | (~cC24(iV21027)) | (~cowlThing(iV21029)) | (~cC50(iV21029)) | (~cC44(iV21029)) | (~cowlThing(iV21030)) | (~cC66(iV21030)) | (~cC72(iV21030)) | (~cowlThing(X!22)))),
% 0.20/0.50 inference(transitivity,[status(thm)],[881, 876])).
% 0.20/0.50 tff(883,plain,
% 0.20/0.50 (((~(cowlThing(X!22) & (~cowlNothing(X!22)))) | (xsd_integer(X!23) <=> xsd_string(X!23)) | (~cowlThing(iV21026)) | (~cC84(iV21026)) | (~cC16(iV21026)) | (~cC36(iV21026)) | (~cC42(iV21026)) | (~cC88(iV21026)) | (~cC86(iV21026)) | (~cC174(iV21026)) | (~cC20(iV21026)) | (~cC156(iV21026)) | (~cC60(iV21026)) | (~cC38(iV21026)) | (~cC158(iV21026)) | (~cC10(iV21026)) | (~cC134(iV21026)) | (~cC22(iV21026)) | (~cC168(iV21026)) | (~cC56(iV21026)) | (~cC78(iV21026)) | (~cC58(iV21026)) | (~cC152(iV21026)) | (~cC40(iV21026)) | (~cC132(iV21026)) | (~cC130(iV21026)) | (~cC62(iV21026)) | (~cC154(iV21026)) | (~cC80(iV21026)) | (~cC8(iV21026)) | (~cC136(iV21026)) | (~cC112(iV21026)) | (~cC180(iV21026)) | (~cC114(iV21026)) | (~cC64(iV21026)) | (~cC110(iV21026)) | (~cC116(iV21026)) | (~cC82(iV21026)) | (~cC138(iV21026)) | (~cC4(iV21026)) | (~cC108(iV21026)) | (~cC14(iV21026)) | (~cC90(iV21026)) | (~cowlThing(iV21027)) | (~cC30(iV21027)) | (~cC24(iV21027)) | (~cowlThing(iV21029)) | (~cC50(iV21029)) | (~cC44(iV21029)) | (~cowlThing(iV21030)) | (~cC66(iV21030)) | (~cC72(iV21030))) <=> ((~(cowlThing(X!22) & (~cowlNothing(X!22)))) | (xsd_integer(X!23) <=> xsd_string(X!23)) | (~cowlThing(iV21026)) | (~cC84(iV21026)) | (~cC16(iV21026)) | (~cC36(iV21026)) | (~cC42(iV21026)) | (~cC88(iV21026)) | (~cC86(iV21026)) | (~cC174(iV21026)) | (~cC20(iV21026)) | (~cC156(iV21026)) | (~cC60(iV21026)) | (~cC38(iV21026)) | (~cC158(iV21026)) | (~cC10(iV21026)) | (~cC134(iV21026)) | (~cC22(iV21026)) | (~cC168(iV21026)) | (~cC56(iV21026)) | (~cC78(iV21026)) | (~cC58(iV21026)) | (~cC152(iV21026)) | (~cC40(iV21026)) | (~cC132(iV21026)) | (~cC130(iV21026)) | (~cC62(iV21026)) | (~cC154(iV21026)) | (~cC80(iV21026)) | (~cC8(iV21026)) | (~cC136(iV21026)) | (~cC112(iV21026)) | (~cC180(iV21026)) | (~cC114(iV21026)) | (~cC64(iV21026)) | (~cC110(iV21026)) | (~cC116(iV21026)) | (~cC82(iV21026)) | (~cC138(iV21026)) | (~cC4(iV21026)) | (~cC108(iV21026)) | (~cC14(iV21026)) | (~cC90(iV21026)) | (~cowlThing(iV21027)) | (~cC30(iV21027)) | (~cC24(iV21027)) | (~cowlThing(iV21029)) | (~cC50(iV21029)) | (~cC44(iV21029)) | (~cowlThing(iV21030)) | (~cC66(iV21030)) | (~cC72(iV21030)))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(884,plain,
% 0.20/0.50 ((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(iV21026) & cC84(iV21026) & cC16(iV21026) & cC36(iV21026) & cC42(iV21026) & cC88(iV21026) & cC86(iV21026) & cC174(iV21026) & cC20(iV21026) & cC156(iV21026) & cC60(iV21026) & cC38(iV21026) & cC158(iV21026) & cC10(iV21026) & cC134(iV21026) & cC22(iV21026) & cC168(iV21026) & cC56(iV21026) & cC78(iV21026) & cC58(iV21026) & cC152(iV21026) & cC40(iV21026) & cC132(iV21026) & cC130(iV21026) & cC62(iV21026) & cC154(iV21026) & cC80(iV21026) & cC8(iV21026) & cC136(iV21026) & cC112(iV21026) & cC180(iV21026) & cC114(iV21026) & cC64(iV21026) & cC110(iV21026) & cC116(iV21026) & cC82(iV21026) & cC138(iV21026) & cC4(iV21026) & cC108(iV21026) & cC14(iV21026) & cC90(iV21026) & cowlThing(iV21027) & cC30(iV21027) & cC24(iV21027) & cowlThing(iV21029) & cC50(iV21029) & cC44(iV21029) & cowlThing(iV21030) & cC66(iV21030) & cC72(iV21030)) <=> (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(iV21026) & cC84(iV21026) & cC16(iV21026) & cC36(iV21026) & cC42(iV21026) & cC88(iV21026) & cC86(iV21026) & cC174(iV21026) & cC20(iV21026) & cC156(iV21026) & cC60(iV21026) & cC38(iV21026) & cC158(iV21026) & cC10(iV21026) & cC134(iV21026) & cC22(iV21026) & cC168(iV21026) & cC56(iV21026) & cC78(iV21026) & cC58(iV21026) & cC152(iV21026) & cC40(iV21026) & cC132(iV21026) & cC130(iV21026) & cC62(iV21026) & cC154(iV21026) & cC80(iV21026) & cC8(iV21026) & cC136(iV21026) & cC112(iV21026) & cC180(iV21026) & cC114(iV21026) & cC64(iV21026) & cC110(iV21026) & cC116(iV21026) & cC82(iV21026) & cC138(iV21026) & cC4(iV21026) & cC108(iV21026) & cC14(iV21026) & cC90(iV21026) & cowlThing(iV21027) & cC30(iV21027) & cC24(iV21027) & cowlThing(iV21029) & cC50(iV21029) & cC44(iV21029) & cowlThing(iV21030) & cC66(iV21030) & cC72(iV21030))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(885,plain,
% 0.20/0.50 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(iV21026) & cC84(iV21026) & cC16(iV21026) & cC36(iV21026) & cC42(iV21026) & cC88(iV21026) & cC86(iV21026) & cC174(iV21026) & cC20(iV21026) & cC156(iV21026) & cC60(iV21026) & cC38(iV21026) & cC158(iV21026) & cC10(iV21026) & cC134(iV21026) & cC22(iV21026) & cC168(iV21026) & cC56(iV21026) & cC78(iV21026) & cC58(iV21026) & cC152(iV21026) & cC40(iV21026) & cC132(iV21026) & cC130(iV21026) & cC62(iV21026) & cC154(iV21026) & cC80(iV21026) & cC8(iV21026) & cC136(iV21026) & cC112(iV21026) & cC180(iV21026) & cC114(iV21026) & cC64(iV21026) & cC110(iV21026) & cC116(iV21026) & cC82(iV21026) & cC138(iV21026) & cC4(iV21026) & cC108(iV21026) & cC14(iV21026) & cC90(iV21026) & cowlThing(iV21027) & cC30(iV21027) & cC24(iV21027) & cowlThing(iV21029) & cC50(iV21029) & cC44(iV21029) & cowlThing(iV21030) & cC66(iV21030) & cC72(iV21030))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(iV21026) & cC84(iV21026) & cC16(iV21026) & cC36(iV21026) & cC42(iV21026) & cC88(iV21026) & cC86(iV21026) & cC174(iV21026) & cC20(iV21026) & cC156(iV21026) & cC60(iV21026) & cC38(iV21026) & cC158(iV21026) & cC10(iV21026) & cC134(iV21026) & cC22(iV21026) & cC168(iV21026) & cC56(iV21026) & cC78(iV21026) & cC58(iV21026) & cC152(iV21026) & cC40(iV21026) & cC132(iV21026) & cC130(iV21026) & cC62(iV21026) & cC154(iV21026) & cC80(iV21026) & cC8(iV21026) & cC136(iV21026) & cC112(iV21026) & cC180(iV21026) & cC114(iV21026) & cC64(iV21026) & cC110(iV21026) & cC116(iV21026) & cC82(iV21026) & cC138(iV21026) & cC4(iV21026) & cC108(iV21026) & cC14(iV21026) & cC90(iV21026) & cowlThing(iV21027) & cC30(iV21027) & cC24(iV21027) & cowlThing(iV21029) & cC50(iV21029) & cC44(iV21029) & cowlThing(iV21030) & cC66(iV21030) & cC72(iV21030)))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[884])).
% 0.20/0.50 tff(886,plain,
% 0.20/0.50 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(iV21026) & cC84(iV21026) & cC16(iV21026) & cC36(iV21026) & cC42(iV21026) & cC88(iV21026) & cC86(iV21026) & cC174(iV21026) & cC20(iV21026) & cC156(iV21026) & cC60(iV21026) & cC38(iV21026) & cC158(iV21026) & cC10(iV21026) & cC134(iV21026) & cC22(iV21026) & cC168(iV21026) & cC56(iV21026) & cC78(iV21026) & cC58(iV21026) & cC152(iV21026) & cC40(iV21026) & cC132(iV21026) & cC130(iV21026) & cC62(iV21026) & cC154(iV21026) & cC80(iV21026) & cC8(iV21026) & cC136(iV21026) & cC112(iV21026) & cC180(iV21026) & cC114(iV21026) & cC64(iV21026) & cC110(iV21026) & cC116(iV21026) & cC82(iV21026) & cC138(iV21026) & cC4(iV21026) & cC108(iV21026) & cC14(iV21026) & cC90(iV21026) & cowlThing(iV21027) & cC30(iV21027) & cC24(iV21027) & cowlThing(iV21029) & cC50(iV21029) & cC44(iV21029) & cowlThing(iV21030) & cC66(iV21030) & cC72(iV21030))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(iV21026) & cC84(iV21026) & cC16(iV21026) & cC36(iV21026) & cC42(iV21026) & cC88(iV21026) & cC86(iV21026) & cC174(iV21026) & cC20(iV21026) & cC156(iV21026) & cC60(iV21026) & cC38(iV21026) & cC158(iV21026) & cC10(iV21026) & cC134(iV21026) & cC22(iV21026) & cC168(iV21026) & cC56(iV21026) & cC78(iV21026) & cC58(iV21026) & cC152(iV21026) & cC40(iV21026) & cC132(iV21026) & cC130(iV21026) & cC62(iV21026) & cC154(iV21026) & cC80(iV21026) & cC8(iV21026) & cC136(iV21026) & cC112(iV21026) & cC180(iV21026) & cC114(iV21026) & cC64(iV21026) & cC110(iV21026) & cC116(iV21026) & cC82(iV21026) & cC138(iV21026) & cC4(iV21026) & cC108(iV21026) & cC14(iV21026) & cC90(iV21026) & cowlThing(iV21027) & cC30(iV21027) & cC24(iV21027) & cowlThing(iV21029) & cC50(iV21029) & cC44(iV21029) & cowlThing(iV21030) & cC66(iV21030) & cC72(iV21030)))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(887,plain,
% 0.20/0.51 ((~(((((((((((((((((((((((((((((((((((((((((((((((((((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & cowlThing(iV21026)) & cC84(iV21026)) & cC16(iV21026)) & cC36(iV21026)) & cC42(iV21026)) & cC88(iV21026)) & cC86(iV21026)) & cC174(iV21026)) & cC20(iV21026)) & cC156(iV21026)) & cC60(iV21026)) & cC38(iV21026)) & cC158(iV21026)) & cC10(iV21026)) & cC134(iV21026)) & cC22(iV21026)) & cC168(iV21026)) & cC56(iV21026)) & cC78(iV21026)) & cC58(iV21026)) & cC152(iV21026)) & cC40(iV21026)) & cC132(iV21026)) & cC130(iV21026)) & cC62(iV21026)) & cC154(iV21026)) & cC80(iV21026)) & cC8(iV21026)) & cC136(iV21026)) & cC112(iV21026)) & cC180(iV21026)) & cC114(iV21026)) & cC64(iV21026)) & cC110(iV21026)) & cC116(iV21026)) & cC82(iV21026)) & cC138(iV21026)) & cC4(iV21026)) & cC108(iV21026)) & cC14(iV21026)) & cC90(iV21026)) & cowlThing(iV21027)) & cC30(iV21027)) & cC24(iV21027)) & cowlThing(iV21029)) & cC50(iV21029)) & cC44(iV21029)) & cowlThing(iV21030)) & cC66(iV21030)) & cC72(iV21030))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(iV21026) & cC84(iV21026) & cC16(iV21026) & cC36(iV21026) & cC42(iV21026) & cC88(iV21026) & cC86(iV21026) & cC174(iV21026) & cC20(iV21026) & cC156(iV21026) & cC60(iV21026) & cC38(iV21026) & cC158(iV21026) & cC10(iV21026) & cC134(iV21026) & cC22(iV21026) & cC168(iV21026) & cC56(iV21026) & cC78(iV21026) & cC58(iV21026) & cC152(iV21026) & cC40(iV21026) & cC132(iV21026) & cC130(iV21026) & cC62(iV21026) & cC154(iV21026) & cC80(iV21026) & cC8(iV21026) & cC136(iV21026) & cC112(iV21026) & cC180(iV21026) & cC114(iV21026) & cC64(iV21026) & cC110(iV21026) & cC116(iV21026) & cC82(iV21026) & cC138(iV21026) & cC4(iV21026) & cC108(iV21026) & cC14(iV21026) & cC90(iV21026) & cowlThing(iV21027) & cC30(iV21027) & cC24(iV21027) & cowlThing(iV21029) & cC50(iV21029) & cC44(iV21029) & cowlThing(iV21030) & cC66(iV21030) & cC72(iV21030)))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(888,axiom,(~(((((((((((((((((((((((((((((((((((((((((((((((((((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & cowlThing(iV21026)) & cC84(iV21026)) & cC16(iV21026)) & cC36(iV21026)) & cC42(iV21026)) & cC88(iV21026)) & cC86(iV21026)) & cC174(iV21026)) & cC20(iV21026)) & cC156(iV21026)) & cC60(iV21026)) & cC38(iV21026)) & cC158(iV21026)) & cC10(iV21026)) & cC134(iV21026)) & cC22(iV21026)) & cC168(iV21026)) & cC56(iV21026)) & cC78(iV21026)) & cC58(iV21026)) & cC152(iV21026)) & cC40(iV21026)) & cC132(iV21026)) & cC130(iV21026)) & cC62(iV21026)) & cC154(iV21026)) & cC80(iV21026)) & cC8(iV21026)) & cC136(iV21026)) & cC112(iV21026)) & cC180(iV21026)) & cC114(iV21026)) & cC64(iV21026)) & cC110(iV21026)) & cC116(iV21026)) & cC82(iV21026)) & cC138(iV21026)) & cC4(iV21026)) & cC108(iV21026)) & cC14(iV21026)) & cC90(iV21026)) & cowlThing(iV21027)) & cC30(iV21027)) & cC24(iV21027)) & cowlThing(iV21029)) & cC50(iV21029)) & cC44(iV21029)) & cowlThing(iV21030)) & cC66(iV21030)) & cC72(iV21030))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','the_axiom')).
% 0.20/0.51 tff(889,plain,
% 0.20/0.51 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(iV21026) & cC84(iV21026) & cC16(iV21026) & cC36(iV21026) & cC42(iV21026) & cC88(iV21026) & cC86(iV21026) & cC174(iV21026) & cC20(iV21026) & cC156(iV21026) & cC60(iV21026) & cC38(iV21026) & cC158(iV21026) & cC10(iV21026) & cC134(iV21026) & cC22(iV21026) & cC168(iV21026) & cC56(iV21026) & cC78(iV21026) & cC58(iV21026) & cC152(iV21026) & cC40(iV21026) & cC132(iV21026) & cC130(iV21026) & cC62(iV21026) & cC154(iV21026) & cC80(iV21026) & cC8(iV21026) & cC136(iV21026) & cC112(iV21026) & cC180(iV21026) & cC114(iV21026) & cC64(iV21026) & cC110(iV21026) & cC116(iV21026) & cC82(iV21026) & cC138(iV21026) & cC4(iV21026) & cC108(iV21026) & cC14(iV21026) & cC90(iV21026) & cowlThing(iV21027) & cC30(iV21027) & cC24(iV21027) & cowlThing(iV21029) & cC50(iV21029) & cC44(iV21029) & cowlThing(iV21030) & cC66(iV21030) & cC72(iV21030))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[888, 887])).
% 0.20/0.52 tff(890,plain,
% 0.20/0.52 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(iV21026) & cC84(iV21026) & cC16(iV21026) & cC36(iV21026) & cC42(iV21026) & cC88(iV21026) & cC86(iV21026) & cC174(iV21026) & cC20(iV21026) & cC156(iV21026) & cC60(iV21026) & cC38(iV21026) & cC158(iV21026) & cC10(iV21026) & cC134(iV21026) & cC22(iV21026) & cC168(iV21026) & cC56(iV21026) & cC78(iV21026) & cC58(iV21026) & cC152(iV21026) & cC40(iV21026) & cC132(iV21026) & cC130(iV21026) & cC62(iV21026) & cC154(iV21026) & cC80(iV21026) & cC8(iV21026) & cC136(iV21026) & cC112(iV21026) & cC180(iV21026) & cC114(iV21026) & cC64(iV21026) & cC110(iV21026) & cC116(iV21026) & cC82(iV21026) & cC138(iV21026) & cC4(iV21026) & cC108(iV21026) & cC14(iV21026) & cC90(iV21026) & cowlThing(iV21027) & cC30(iV21027) & cC24(iV21027) & cowlThing(iV21029) & cC50(iV21029) & cC44(iV21029) & cowlThing(iV21030) & cC66(iV21030) & cC72(iV21030))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[889, 885])).
% 0.20/0.52 tff(891,plain,
% 0.20/0.52 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(iV21026) & cC84(iV21026) & cC16(iV21026) & cC36(iV21026) & cC42(iV21026) & cC88(iV21026) & cC86(iV21026) & cC174(iV21026) & cC20(iV21026) & cC156(iV21026) & cC60(iV21026) & cC38(iV21026) & cC158(iV21026) & cC10(iV21026) & cC134(iV21026) & cC22(iV21026) & cC168(iV21026) & cC56(iV21026) & cC78(iV21026) & cC58(iV21026) & cC152(iV21026) & cC40(iV21026) & cC132(iV21026) & cC130(iV21026) & cC62(iV21026) & cC154(iV21026) & cC80(iV21026) & cC8(iV21026) & cC136(iV21026) & cC112(iV21026) & cC180(iV21026) & cC114(iV21026) & cC64(iV21026) & cC110(iV21026) & cC116(iV21026) & cC82(iV21026) & cC138(iV21026) & cC4(iV21026) & cC108(iV21026) & cC14(iV21026) & cC90(iV21026) & cowlThing(iV21027) & cC30(iV21027) & cC24(iV21027) & cowlThing(iV21029) & cC50(iV21029) & cC44(iV21029) & cowlThing(iV21030) & cC66(iV21030) & cC72(iV21030))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[890, 886])).
% 0.20/0.52 tff(892,plain,
% 0.20/0.52 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(iV21026) & cC84(iV21026) & cC16(iV21026) & cC36(iV21026) & cC42(iV21026) & cC88(iV21026) & cC86(iV21026) & cC174(iV21026) & cC20(iV21026) & cC156(iV21026) & cC60(iV21026) & cC38(iV21026) & cC158(iV21026) & cC10(iV21026) & cC134(iV21026) & cC22(iV21026) & cC168(iV21026) & cC56(iV21026) & cC78(iV21026) & cC58(iV21026) & cC152(iV21026) & cC40(iV21026) & cC132(iV21026) & cC130(iV21026) & cC62(iV21026) & cC154(iV21026) & cC80(iV21026) & cC8(iV21026) & cC136(iV21026) & cC112(iV21026) & cC180(iV21026) & cC114(iV21026) & cC64(iV21026) & cC110(iV21026) & cC116(iV21026) & cC82(iV21026) & cC138(iV21026) & cC4(iV21026) & cC108(iV21026) & cC14(iV21026) & cC90(iV21026) & cowlThing(iV21027) & cC30(iV21027) & cC24(iV21027) & cowlThing(iV21029) & cC50(iV21029) & cC44(iV21029) & cowlThing(iV21030) & cC66(iV21030) & cC72(iV21030))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[891, 885])).
% 0.20/0.52 unexpected number of arguments: (let ((a!1 (forall ((X $i)) (and (cowlThing X) (not (cowlNothing X)))))
% 0.20/0.52 (a!2 (not (and (cowlThing X!22) (not (cowlNothing X!22)))))
% 0.20/0.52 (a!3 (forall ((X $i)) (not (= (xsd_integer X) (xsd_string X)))))
% 0.20/0.52 (a!5 (refl (~ (not (cowlThing iV21026)) (not (cowlThing iV21026)))))
% 0.20/0.52 (a!6 (refl (~ (not (cC84 iV21026)) (not (cC84 iV21026)))))
% 0.20/0.52 (a!7 (refl (~ (not (cC16 iV21026)) (not (cC16 iV21026)))))
% 0.20/0.52 (a!8 (refl (~ (not (cC36 iV21026)) (not (cC36 iV21026)))))
% 0.20/0.52 (a!9 (refl (~ (not (cC42 iV21026)) (not (cC42 iV21026)))))
% 0.20/0.52 (a!10 (refl (~ (not (cC88 iV21026)) (not (cC88 iV21026)))))
% 0.20/0.52 (a!11 (refl (~ (not (cC86 iV21026)) (not (cC86 iV21026)))))
% 0.20/0.52 (a!12 (refl (~ (not (cC174 iV21026)) (not (cC174 iV21026)))))
% 0.20/0.52 (a!13 (refl (~ (not (cC20 iV21026)) (not (cC20 iV21026)))))
% 0.20/0.52 (a!14 (refl (~ (not (cC156 iV21026)) (not (cC156 iV21026)))))
% 0.20/0.52 (a!15 (refl (~ (not (cC60 iV21026)) (not (cC60 iV21026)))))
% 0.20/0.52 (a!16 (refl (~ (not (cC38 iV21026)) (not (cC38 iV21026)))))
% 0.20/0.52 (a!17 (refl (~ (not (cC158 iV21026)) (not (cC158 iV21026)))))
% 0.20/0.52 (a!18 (refl (~ (not (cC10 iV21026)) (not (cC10 iV21026)))))
% 0.20/0.52 (a!19 (refl (~ (not (cC134 iV21026)) (not (cC134 iV21026)))))
% 0.20/0.52 (a!20 (refl (~ (not (cC22 iV21026)) (not (cC22 iV21026)))))
% 0.20/0.52 (a!21 (refl (~ (not (cC168 iV21026)) (not (cC168 iV21026)))))
% 0.20/0.52 (a!22 (refl (~ (not (cC56 iV21026)) (not (cC56 iV21026)))))
% 0.20/0.52 (a!23 (refl (~ (not (cC78 iV21026)) (not (cC78 iV21026)))))
% 0.20/0.52 (a!24 (refl (~ (not (cC58 iV21026)) (not (cC58 iV21026)))))
% 0.20/0.52 (a!25 (refl (~ (not (cC152 iV21026)) (not (cC152 iV21026)))))
% 0.20/0.52 (a!26 (refl (~ (not (cC40 iV21026)) (not (cC40 iV21026)))))
% 0.20/0.52 (a!27 (refl (~ (not (cC132 iV21026)) (not (cC132 iV21026)))))
% 0.20/0.52 (a!28 (refl (~ (not (cC130 iV21026)) (not (cC130 iV21026)))))
% 0.20/0.52 (a!29 (refl (~ (not (cC62 iV21026)) (not (cC62 iV21026)))))
% 0.20/0.52 (a!30 (refl (~ (not (cC154 iV21026)) (not (cC154 iV21026)))))
% 0.20/0.52 (a!31 (refl (~ (not (cC80 iV21026)) (not (cC80 iV21026)))))
% 0.20/0.52 (a!32 (refl (~ (not (cC8 iV21026)) (not (cC8 iV21026)))))
% 0.20/0.52 (a!33 (refl (~ (not (cC136 iV21026)) (not (cC136 iV21026)))))
% 0.20/0.52 (a!34 (refl (~ (not (cC112 iV21026)) (not (cC112 iV21026)))))
% 0.20/0.52 (a!35 (refl (~ (not (cC180 iV21026)) (not (cC180 iV21026)))))
% 0.20/0.52 (a!36 (refl (~ (not (cC114 iV21026)) (not (cC114 iV21026)))))
% 0.20/0.52 (a!37 (refl (~ (not (cC64 iV21026)) (not (cC64 iV21026)))))
% 0.20/0.52 (a!38 (refl (~ (not (cC110 iV21026)) (not (cC110 iV21026)))))
% 0.20/0.52 (a!39 (refl (~ (not (cC116 iV21026)) (not (cC116 iV21026)))))
% 0.20/0.52 (a!40 (refl (~ (not (cC82 iV21026)) (not (cC82 iV21026)))))
% 0.20/0.52 (a!41 (refl (~ (not (cC138 iV21026)) (not (cC138 iV21026)))))
% 0.20/0.52 (a!42 (refl (~ (not (cC4 iV21026)) (not (cC4 iV21026)))))
% 0.20/0.52 (a!43 (refl (~ (not (cC108 iV21026)) (not (cC108 iV21026)))))
% 0.20/0.52 (a!44 (refl (~ (not (cC14 iV21026)) (not (cC14 iV21026)))))
% 0.20/0.52 (a!45 (refl (~ (not (cC90 iV21026)) (not (cC90 iV21026)))))
% 0.20/0.52 (a!46 (refl (~ (not (cowlThing iV21027)) (not (cowlThing iV21027)))))
% 0.20/0.52 (a!47 (refl (~ (not (cC30 iV21027)) (not (cC30 iV21027)))))
% 0.20/0.52 (a!48 (refl (~ (not (cC24 iV21027)) (not (cC24 iV21027)))))
% 0.20/0.52 (a!49 (refl (~ (not (cowlThing iV21029)) (not (cowlThing iV21029)))))
% 0.20/0.52 (a!50 (refl (~ (not (cC50 iV21029)) (not (cC50 iV21029)))))
% 0.20/0.52 (a!51 (refl (~ (not (cC44 iV21029)) (not (cC44 iV21029)))))
% 0.20/0.52 (a!52 (refl (~ (not (cowlThing iV21030)) (not (cowlThing iV21030)))))
% 0.20/0.52 (a!53 (refl (~ (not (cC66 iV21030)) (not (cC66 iV21030)))))
% 0.20/0.52 (a!54 (refl (~ (not (cC72 iV21030)) (not (cC72 iV21030))))))
% 0.20/0.52 (let ((a!4 (sk (~ (not a!3) (= (xsd_integer X!23) (xsd_string X!23)))))
% 0.20/0.52 (a!55 (~ (not (and a!1
% 0.20/0.52 a!3
% 0.20/0.52 (cowlThing iV21026)
% 0.20/0.52 (cC84 iV21026)
% 0.20/0.52 (cC16 iV21026)
% 0.20/0.52 (cC36 iV21026)
% 0.20/0.52 (cC42 iV21026)
% 0.20/0.52 (cC88 iV21026)
% 0.20/0.52 (cC86 iV21026)
% 0.20/0.52 (cC174 iV21026)
% 0.20/0.52 (cC20 iV21026)
% 0.20/0.52 (cC156 iV21026)
% 0.20/0.52 (cC60 iV21026)
% 0.20/0.52 (cC38 iV21026)
% 0.20/0.52 (cC158 iV21026)
% 0.20/0.52 (cC10 iV21026)
% 0.20/0.52 (cC134 iV21026)
% 0.20/0.52 (cC22 iV21026)
% 0.20/0.52 (cC168 iV21026)
% 0.20/0.52 (cC56 iV21026)
% 0.20/0.52 (cC78 iV21026)
% 0.20/0.52 (cC58 iV21026)
% 0.20/0.52 (cC152 iV21026)
% 0.20/0.52 (cC40 iV21026)
% 0.20/0.52 (cC132 iV21026)
% 0.20/0.52 (cC130 iV21026)
% 0.20/0.52 (cC62 iV21026)
% 0.20/0.52 (cC154 iV21026)
% 0.20/0.52 (cC80 iV21026)
% 0.20/0.52 (cC8 iV21026)
% 0.20/0.52 (cC136 iV21026)
% 0.20/0.52 (cC112 iV21026)
% 0.20/0.52 (cC180 iV21026)
% 0.20/0.52 (cC114 iV21026)
% 0.20/0.52 (cC64 iV21026)
% 0.20/0.52 (cC110 iV21026)
% 0.20/0.52 (cC116 iV21026)
% 0.20/0.52 (cC82 iV21026)
% 0.20/0.52 (cC138 iV21026)
% 0.20/0.52 (cC4 iV21026)
% 0.20/0.52 (cC108 iV21026)
% 0.20/0.52 (cC14 iV21026)
% 0.20/0.52 (cC90 iV21026)
% 0.20/0.52 (cowlThing iV21027)
% 0.20/0.52 (cC30 iV21027)
% 0.20/0.52 (cC24 iV21027)
% 0.20/0.52 (cowlThing iV21029)
% 0.20/0.52 (cC50 iV21029)
% 0.20/0.52 (cC44 iV21029)
% 0.20/0.52 (cowlThing iV21030)
% 0.20/0.52 (cC66 iV21030)
% 0.20/0.52 (cC72 iV21030)))
% 0.20/0.52 (or a!2
% 0.20/0.52 (= (xsd_integer X!23) (xsd_string X!23))
% 0.20/0.52 (not (cowlThing iV21026))
% 0.20/0.52 (not (cC84 iV21026))
% 0.20/0.52 (not (cC16 iV21026))
% 0.20/0.52 (not (cC36 iV21026))
% 0.20/0.52 (not (cC42 iV21026))
% 0.20/0.52 (not (cC88 iV21026))
% 0.20/0.52 (not (cC86 iV21026))
% 0.20/0.52 (not (cC174 iV21026))
% 0.20/0.52 (not (cC20 iV21026))
% 0.20/0.52 (not (cC156 iV21026))
% 0.20/0.52 (not (cC60 iV21026))
% 0.20/0.52 (not (cC38 iV21026))
% 0.20/0.52 (not (cC158 iV21026))
% 0.20/0.52 (not (cC10 iV21026))
% 0.20/0.52 (not (cC134 iV21026))
% 0.20/0.52 (not (cC22 iV21026))
% 0.20/0.52 (not (cC168 iV21026))
% 0.20/0.52 (not (cC56 iV21026))
% 0.20/0.52 (not (cC78 iV21026))
% 0.20/0.52 (not (cC58 iV21026))
% 0.20/0.52 (not (cC152 iV21026))
% 0.20/0.52 (not (cC40 iV21026))
% 0.20/0.52 (not (cC132 iV21026))
% 0.20/0.52 (not (cC130 iV21026))
% 0.20/0.52 (not (cC62 iV21026))
% 0.20/0.52 (not (cC154 iV21026))
% 0.20/0.52 (not (cC80 iV21026))
% 0.20/0.52 (not (cC8 iV21026))
% 0.20/0.52 (not (cC136 iV21026))
% 0.20/0.52 (not (cC112 iV21026))
% 0.20/0.52 (not (cC180 iV21026))
% 0.20/0.52 (not (cC114 iV21026))
% 0.20/0.52 (not (cC64 iV21026))
% 0.20/0.52 (not (cC110 iV21026))
% 0.20/0.52 (not (cC116 iV21026))
% 0.20/0.52 (not (cC82 iV21026))
% 0.20/0.52 (not (cC138 iV21026))
% 0.20/0.52 (not (cC4 iV21026))
% 0.20/0.52 (not (cC108 iV21026))
% 0.20/0.52 (not (cC14 iV21026))
% 0.20/0.52 (not (cC90 iV21026))
% 0.20/0.52 (not (cowlThing iV21027))
% 0.20/0.52 (not (cC30 iV21027))
% 0.20/0.52 (not (cC24 iV21027))
% 0.20/0.52 (not (cowlThing iV21029))
% 0.20/0.52 (not (cC50 iV21029))
% 0.20/0.52 (not (cC44 iV21029))
% 0.20/0.52 (not (cowlThing iV21030))
% 0.20/0.52 (not (cC66 iV21030))
% 0.20/0.52 (not (cC72 iV21030))))))
% 0.20/0.52 (nnf-neg (sk (~ (not a!1) a!2))
% 0.20/0.52 a!4
% 0.20/0.52 a!5
% 0.20/0.52 a!6
% 0.20/0.52 a!7
% 0.20/0.52 a!8
% 0.20/0.52 a!9
% 0.20/0.52 a!10
% 0.20/0.52 a!11
% 0.20/0.52 a!12
% 0.20/0.52 a!13
% 0.20/0.52 a!14
% 0.20/0.52 a!15
% 0.20/0.52 a!16
% 0.20/0.52 a!17
% 0.20/0.52 a!18
% 0.20/0.52 a!19
% 0.20/0.52 a!20
% 0.20/0.52 a!21
% 0.20/0.52 a!22
% 0.20/0.52 a!23
% 0.20/0.52 a!24
% 0.20/0.52 a!25
% 0.20/0.52 a!26
% 0.20/0.52 a!27
% 0.20/0.52 a!28
% 0.20/0.52 a!29
% 0.20/0.52 a!30
% 0.20/0.52 a!31
% 0.20/0.52 a!32
% 0.20/0.52 a!33
% 0.20/0.52 a!34
% 0.20/0.52 a!35
% 0.20/0.52 a!36
% 0.20/0.52 a!37
% 0.20/0.52 a!38
% 0.20/0.52 a!39
% 0.20/0.52 a!40
% 0.20/0.52 a!41
% 0.20/0.52 a!42
% 0.20/0.52 a!43
% 0.20/0.52 a!44
% 0.20/0.52 a!45
% 0.20/0.52 a!46
% 0.20/0.52 a!47
% 0.20/0.52 a!48
% 0.20/0.52 a!49
% 0.20/0.52 a!50
% 0.20/0.52 a!51
% 0.20/0.52 a!52
% 0.20/0.52 a!53
% 0.20/0.52 a!54
% 0.20/0.52 a!55)))
% 0.20/0.52 Proof display could not be completed: unexpected number of arguments
% 0.20/0.52 % E exiting
%------------------------------------------------------------------------------