TSTP Solution File: SET102+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET102+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 14:28:44 EDT 2023
% Result : Theorem 0.79s 0.87s
% Output : CNFRefutation 0.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET102+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.17/0.33 % Computer : n022.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Sat Aug 26 08:55:25 EDT 2023
% 0.17/0.33 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 0.79/0.87 %-------------------------------------------
% 0.79/0.87 % File :CSE---1.6
% 0.79/0.87 % Problem :theBenchmark
% 0.79/0.87 % Transform :cnf
% 0.79/0.87 % Format :tptp:raw
% 0.79/0.87 % Command :java -jar mcs_scs.jar %d %s
% 0.79/0.87
% 0.79/0.87 % Result :Theorem 0.240000s
% 0.79/0.87 % Output :CNFRefutation 0.240000s
% 0.79/0.87 %-------------------------------------------
% 0.79/0.87 %--------------------------------------------------------------------------
% 0.79/0.87 % File : SET102+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.79/0.87 % Domain : Set Theory
% 0.79/0.87 % Problem : Ordered pair member of ordered pair
% 0.79/0.87 % Version : [Qua92] axioms : Reduced & Augmented > Complete.
% 0.79/0.87 % English :
% 0.79/0.87
% 0.79/0.87 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 0.79/0.87 % : [BL+86] Boyer et al. (1986), Set Theory in First-Order Logic:
% 0.79/0.87 % Source : [Qua92]
% 0.79/0.87 % Names :
% 0.79/0.87
% 0.79/0.87 % Status : Theorem
% 0.79/0.87 % Rating : 0.17 v8.1.0, 0.19 v7.4.0, 0.17 v7.3.0, 0.21 v7.1.0, 0.13 v7.0.0, 0.17 v6.4.0, 0.23 v6.3.0, 0.17 v6.2.0, 0.32 v6.1.0, 0.40 v6.0.0, 0.39 v5.5.0, 0.33 v5.4.0
% 0.79/0.87 % Syntax : Number of formulae : 44 ( 17 unt; 0 def)
% 0.79/0.87 % Number of atoms : 101 ( 19 equ)
% 0.79/0.87 % Maximal formula atoms : 4 ( 2 avg)
% 0.79/0.87 % Number of connectives : 62 ( 5 ~; 3 |; 26 &)
% 0.79/0.87 % ( 19 <=>; 9 =>; 0 <=; 0 <~>)
% 0.79/0.87 % Maximal formula depth : 7 ( 4 avg)
% 0.79/0.87 % Maximal term depth : 4 ( 1 avg)
% 0.79/0.87 % Number of predicates : 6 ( 5 usr; 0 prp; 1-2 aty)
% 0.79/0.87 % Number of functors : 26 ( 26 usr; 5 con; 0-3 aty)
% 0.79/0.87 % Number of variables : 88 ( 83 !; 5 ?)
% 0.79/0.87 % SPC : FOF_THM_RFO_SEQ
% 0.79/0.87
% 0.79/0.87 % Comments :
% 0.79/0.87 % Bugfixed : v5.4.0 - Bugfixes to SET005+0 axiom file.
% 0.79/0.87 %--------------------------------------------------------------------------
% 0.79/0.87 %----Include set theory axioms
% 0.79/0.87 include('Axioms/SET005+0.ax').
% 0.79/0.87 %--------------------------------------------------------------------------
% 0.79/0.87 %----OP2: Members of ordered pair.
% 0.79/0.87 fof(unordered_pair_member_of_ordered_pair,conjecture,
% 0.79/0.87 ! [X,Y] : member(unordered_pair(X,singleton(Y)),ordered_pair(X,Y)) ).
% 0.79/0.87
% 0.79/0.87 %--------------------------------------------------------------------------
% 0.79/0.87 %-------------------------------------------
% 0.79/0.87 % Proof found
% 0.79/0.87 % SZS status Theorem for theBenchmark
% 0.79/0.87 % SZS output start Proof
% 0.79/0.87 %ClaNum:119(EqnAxiom:37)
% 0.79/0.87 %VarNum:607(SingletonVarNum:169)
% 0.79/0.87 %MaxLitNum:4
% 0.79/0.87 %MaxfuncDepth:13
% 0.79/0.87 %SharedTerms:21
% 0.79/0.87 %goalClause: 49
% 0.79/0.87 %singleGoalClaCount:1
% 0.79/0.87 [38]P1(a1)
% 0.79/0.87 [39]P2(a8)
% 0.79/0.87 [40]P4(a1,a13)
% 0.79/0.87 [42]P5(a2,f3(a13,a13))
% 0.79/0.87 [43]P5(a14,f3(a13,a13))
% 0.79/0.87 [49]~P4(f27(a17,f27(a18,a18)),f27(f27(a17,a17),f27(a17,f27(a18,a18))))
% 0.79/0.87 [41]P5(x411,a13)
% 0.79/0.88 [48]~P4(x481,a20)
% 0.79/0.88 [46]P5(f15(x461),f3(f3(a13,a13),a13))
% 0.79/0.88 [47]P5(f16(x471),f3(f3(a13,a13),a13))
% 0.79/0.88 [44]P4(f27(x441,x442),a13)
% 0.79/0.88 [45]P5(f4(x451,x452),f3(a13,a13))
% 0.79/0.88 [52]~P1(x521)+P5(a1,x521)
% 0.79/0.88 [53]~P1(x531)+P4(a20,x531)
% 0.79/0.88 [54]E(x541,a20)+P4(f9(x541),a13)
% 0.79/0.88 [55]P4(f9(x551),x551)+E(x551,a20)
% 0.79/0.88 [56]P3(f9(x561),x561)+E(x561,a20)
% 0.79/0.88 [57]~P4(x571,a13)+P4(f25(x571),a13)
% 0.79/0.88 [58]~P4(x581,a13)+P4(f23(x581),a13)
% 0.79/0.88 [59]~P4(x591,a21)+P4(f10(x591),a13)
% 0.79/0.88 [60]~P2(x601)+P5(x601,f3(a13,a13))
% 0.79/0.88 [91]~P4(x911,a21)+E(f27(f27(f10(x911),f10(x911)),f27(f10(x911),f27(f10(x911),f10(x911)))),x911)
% 0.79/0.88 [92]~P2(x921)+P5(f4(x921,f6(f16(f3(x921,a13)))),a21)
% 0.79/0.88 [108]~P1(x1081)+P5(f6(f6(f16(f3(f22(a14,f3(x1081,a13)),a13)))),x1081)
% 0.79/0.88 [51]~E(x511,x512)+P5(x511,x512)
% 0.79/0.88 [61]P4(x611,a13)+~P4(x611,f5(x612))
% 0.79/0.88 [62]P4(x621,a13)+~P4(x621,f6(x622))
% 0.79/0.88 [63]P4(x631,a13)+~P4(x631,f23(x632))
% 0.79/0.88 [64]P5(x641,x642)+~P4(x641,f23(x642))
% 0.79/0.88 [66]P5(x661,x662)+P4(f7(x661,x662),x661)
% 0.79/0.88 [67]P3(x671,x672)+P4(f12(x671,x672),x672)
% 0.79/0.88 [68]P3(x681,x682)+P4(f12(x681,x682),x681)
% 0.79/0.88 [69]~P4(x691,x692)+~P4(x691,f5(x692))
% 0.79/0.88 [80]~P4(x801,f25(x802))+P4(x801,f11(x801,x802))
% 0.79/0.88 [81]~P4(x811,f25(x812))+P4(f11(x811,x812),x812)
% 0.79/0.88 [85]P5(x851,x852)+~P4(f7(x851,x852),x852)
% 0.79/0.88 [89]~P4(x892,f6(x891))+~E(f22(x891,f3(f27(x892,x892),a13)),a20)
% 0.79/0.88 [99]P4(x991,a13)+~P4(f27(f27(x992,x992),f27(x992,f27(x991,x991))),a2)
% 0.79/0.88 [100]P4(x1001,a13)+~P4(f27(f27(x1002,x1002),f27(x1002,f27(x1001,x1001))),a14)
% 0.79/0.88 [101]P4(x1011,a13)+~P4(f27(f27(x1011,x1011),f27(x1011,f27(x1012,x1012))),a14)
% 0.79/0.88 [102]P4(x1021,x1022)+~P4(f27(f27(x1021,x1021),f27(x1021,f27(x1022,x1022))),a2)
% 0.79/0.88 [103]E(f26(x1031,f27(x1031,x1031)),x1032)+~P4(f27(f27(x1031,x1031),f27(x1031,f27(x1032,x1032))),a14)
% 0.79/0.88 [72]~P4(x721,x723)+P4(x721,f26(x722,x723))
% 0.79/0.88 [73]~P4(x731,x732)+P4(x731,f26(x732,x733))
% 0.79/0.88 [82]P4(x821,a13)+~P4(x821,f27(x822,x823))
% 0.79/0.88 [83]P4(x831,x832)+~P4(x831,f22(x833,x832))
% 0.79/0.88 [84]P4(x841,x842)+~P4(x841,f22(x842,x843))
% 0.79/0.88 [93]~P4(x931,f3(x932,x933))+E(f27(f27(f19(x931),f19(x931)),f27(f19(x931),f27(f24(x931),f24(x931)))),x931)
% 0.79/0.88 [104]P4(x1041,a13)+~P4(f27(f27(x1041,x1041),f27(x1041,f27(x1042,x1042))),f4(x1043,x1044))
% 0.79/0.88 [105]P4(x1051,x1052)+~P4(f27(f27(x1053,x1053),f27(x1053,f27(x1051,x1051))),f3(x1054,x1052))
% 0.79/0.88 [106]P4(x1061,x1062)+~P4(f27(f27(x1061,x1061),f27(x1061,f27(x1063,x1063))),f3(x1062,x1064))
% 0.79/0.88 [112]~P4(f27(f27(f27(f27(x1123,x1123),f27(x1123,f27(x1121,x1121))),f27(f27(x1123,x1123),f27(x1123,f27(x1121,x1121)))),f27(f27(f27(x1123,x1123),f27(x1123,f27(x1121,x1121))),f27(x1122,x1122))),f15(x1124))+P4(f27(f27(f27(f27(x1121,x1121),f27(x1121,f27(x1122,x1122))),f27(f27(x1121,x1121),f27(x1121,f27(x1122,x1122)))),f27(f27(f27(x1121,x1121),f27(x1121,f27(x1122,x1122))),f27(x1123,x1123))),x1124)
% 0.79/0.88 [113]~P4(f27(f27(f27(f27(x1132,x1132),f27(x1132,f27(x1131,x1131))),f27(f27(x1132,x1132),f27(x1132,f27(x1131,x1131)))),f27(f27(f27(x1132,x1132),f27(x1132,f27(x1131,x1131))),f27(x1133,x1133))),f16(x1134))+P4(f27(f27(f27(f27(x1131,x1131),f27(x1131,f27(x1132,x1132))),f27(f27(x1131,x1131),f27(x1131,f27(x1132,x1132)))),f27(f27(f27(x1131,x1131),f27(x1131,f27(x1132,x1132))),f27(x1133,x1133))),x1134)
% 0.79/0.88 [114]~P4(f27(f27(f27(f27(x1141,x1141),f27(x1141,f27(x1142,x1142))),f27(f27(x1141,x1141),f27(x1141,f27(x1142,x1142)))),f27(f27(f27(x1141,x1141),f27(x1141,f27(x1142,x1142))),f27(x1143,x1143))),f15(x1144))+P4(f27(f27(f27(f27(x1141,x1141),f27(x1141,f27(x1142,x1142))),f27(f27(x1141,x1141),f27(x1141,f27(x1142,x1142)))),f27(f27(f27(x1141,x1141),f27(x1141,f27(x1142,x1142))),f27(x1143,x1143))),f3(f3(a13,a13),a13))
% 0.79/0.88 [115]~P4(f27(f27(f27(f27(x1151,x1151),f27(x1151,f27(x1152,x1152))),f27(f27(x1151,x1151),f27(x1151,f27(x1152,x1152)))),f27(f27(f27(x1151,x1151),f27(x1151,f27(x1152,x1152))),f27(x1153,x1153))),f16(x1154))+P4(f27(f27(f27(f27(x1151,x1151),f27(x1151,f27(x1152,x1152))),f27(f27(x1151,x1151),f27(x1151,f27(x1152,x1152)))),f27(f27(f27(x1151,x1151),f27(x1151,f27(x1152,x1152))),f27(x1153,x1153))),f3(f3(a13,a13),a13))
% 0.79/0.88 [118]~P4(f27(f27(x1184,x1184),f27(x1184,f27(x1181,x1181))),f4(x1182,x1183))+P4(x1181,f6(f6(f16(f3(f22(x1182,f3(f6(f6(f16(f3(f22(x1183,f3(f27(x1184,x1184),a13)),a13)))),a13)),a13)))))
% 0.79/0.88 [107]P2(x1071)+~P5(x1071,f3(a13,a13))+~P5(f4(x1071,f6(f16(f3(x1071,a13)))),a21)
% 0.79/0.88 [110]P1(x1101)+~P4(a20,x1101)+~P5(f6(f6(f16(f3(f22(a14,f3(x1101,a13)),a13)))),x1101)
% 0.79/0.88 [111]~P4(x1111,a13)+E(x1111,a20)+P4(f25(f6(f6(f16(f3(f22(a8,f3(f27(x1111,x1111),a13)),a13))))),x1111)
% 0.79/0.88 [65]~P5(x652,x651)+~P5(x651,x652)+E(x651,x652)
% 0.79/0.88 [70]P4(x701,x702)+P4(x701,f5(x702))+~P4(x701,a13)
% 0.79/0.88 [74]~P5(x741,x742)+~P4(x741,a13)+P4(x741,f23(x742))
% 0.79/0.88 [88]P4(x882,f6(x881))+~P4(x882,a13)+E(f22(x881,f3(f27(x882,x882),a13)),a20)
% 0.79/0.88 [90]~P4(x902,a13)+P4(x901,a21)+~E(x901,f27(f27(x902,x902),f27(x902,f27(x902,x902))))
% 0.79/0.88 [96]~P4(x961,x962)+~P4(x962,a13)+P4(f27(f27(x961,x961),f27(x961,f27(x962,x962))),a2)
% 0.79/0.88 [94]~P4(x942,a13)+~P4(x941,a13)+E(f19(f27(f27(x941,x941),f27(x941,f27(x942,x942)))),x941)
% 0.79/0.88 [95]~P4(x952,a13)+~P4(x951,a13)+E(f24(f27(f27(x951,x951),f27(x951,f27(x952,x952)))),x952)
% 0.79/0.88 [109]~P2(x1091)+~P4(x1092,a13)+P4(f6(f6(f16(f3(f22(x1091,f3(x1092,a13)),a13)))),a13)
% 0.79/0.88 [71]~P4(x711,x713)+P4(x711,x712)+~P5(x713,x712)
% 0.79/0.88 [79]~P3(x793,x792)+~P4(x791,x792)+~P4(x791,x793)
% 0.79/0.88 [75]~E(x751,x753)+~P4(x751,a13)+P4(x751,f27(x752,x753))
% 0.79/0.88 [76]~E(x761,x762)+~P4(x761,a13)+P4(x761,f27(x762,x763))
% 0.79/0.88 [77]~P4(x771,x773)+~P4(x773,x772)+P4(x771,f25(x772))
% 0.79/0.88 [78]E(x781,x782)+E(x781,x783)+~P4(x781,f27(x783,x782))
% 0.79/0.88 [86]~P4(x861,x863)+~P4(x861,x862)+P4(x861,f22(x862,x863))
% 0.79/0.88 [87]P4(x871,x872)+P4(x871,x873)+~P4(x871,f26(x873,x872))
% 0.79/0.88 [97]~P4(x972,x974)+~P4(x971,x973)+P4(f27(f27(x971,x971),f27(x971,f27(x972,x972))),f3(x973,x974))
% 0.79/0.88 [116]~P4(f27(f27(f27(f27(x1162,x1162),f27(x1162,f27(x1163,x1163))),f27(f27(x1162,x1162),f27(x1162,f27(x1163,x1163)))),f27(f27(f27(x1162,x1162),f27(x1162,f27(x1163,x1163))),f27(x1161,x1161))),x1164)+P4(f27(f27(f27(f27(x1161,x1161),f27(x1161,f27(x1162,x1162))),f27(f27(x1161,x1161),f27(x1161,f27(x1162,x1162)))),f27(f27(f27(x1161,x1161),f27(x1161,f27(x1162,x1162))),f27(x1163,x1163))),f15(x1164))+~P4(f27(f27(f27(f27(x1161,x1161),f27(x1161,f27(x1162,x1162))),f27(f27(x1161,x1161),f27(x1161,f27(x1162,x1162)))),f27(f27(f27(x1161,x1161),f27(x1161,f27(x1162,x1162))),f27(x1163,x1163))),f3(f3(a13,a13),a13))
% 0.79/0.88 [117]~P4(f27(f27(f27(f27(x1172,x1172),f27(x1172,f27(x1171,x1171))),f27(f27(x1172,x1172),f27(x1172,f27(x1171,x1171)))),f27(f27(f27(x1172,x1172),f27(x1172,f27(x1171,x1171))),f27(x1173,x1173))),x1174)+P4(f27(f27(f27(f27(x1171,x1171),f27(x1171,f27(x1172,x1172))),f27(f27(x1171,x1171),f27(x1171,f27(x1172,x1172)))),f27(f27(f27(x1171,x1171),f27(x1171,f27(x1172,x1172))),f27(x1173,x1173))),f16(x1174))+~P4(f27(f27(f27(f27(x1171,x1171),f27(x1171,f27(x1172,x1172))),f27(f27(x1171,x1171),f27(x1171,f27(x1172,x1172)))),f27(f27(f27(x1171,x1171),f27(x1171,f27(x1172,x1172))),f27(x1173,x1173))),f3(f3(a13,a13),a13))
% 0.79/0.88 [119]~P4(x1191,a13)+P4(f27(f27(x1191,x1191),f27(x1191,f27(x1192,x1192))),f4(x1193,x1194))+~P4(x1192,f6(f6(f16(f3(f22(x1193,f3(f6(f6(f16(f3(f22(x1194,f3(f27(x1191,x1191),a13)),a13)))),a13)),a13)))))
% 0.79/0.88 [98]~P4(x982,a13)+~P4(x981,a13)+~E(f26(x981,f27(x981,x981)),x982)+P4(f27(f27(x981,x981),f27(x981,f27(x982,x982))),a14)
% 0.79/0.88 %EqnAxiom
% 0.79/0.88 [1]E(x11,x11)
% 0.79/0.88 [2]E(x22,x21)+~E(x21,x22)
% 0.79/0.88 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.79/0.88 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43))
% 0.79/0.88 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52))
% 0.79/0.88 [6]~E(x61,x62)+E(f6(x61),f6(x62))
% 0.79/0.88 [7]~E(x71,x72)+E(f27(x71,x73),f27(x72,x73))
% 0.79/0.88 [8]~E(x81,x82)+E(f27(x83,x81),f27(x83,x82))
% 0.79/0.88 [9]~E(x91,x92)+E(f4(x91,x93),f4(x92,x93))
% 0.79/0.88 [10]~E(x101,x102)+E(f4(x103,x101),f4(x103,x102))
% 0.79/0.88 [11]~E(x111,x112)+E(f16(x111),f16(x112))
% 0.79/0.88 [12]~E(x121,x122)+E(f15(x121),f15(x122))
% 0.79/0.88 [13]~E(x131,x132)+E(f24(x131),f24(x132))
% 0.79/0.88 [14]~E(x141,x142)+E(f22(x141,x143),f22(x142,x143))
% 0.79/0.88 [15]~E(x151,x152)+E(f22(x153,x151),f22(x153,x152))
% 0.79/0.88 [16]~E(x161,x162)+E(f19(x161),f19(x162))
% 0.79/0.88 [17]~E(x171,x172)+E(f10(x171),f10(x172))
% 0.79/0.88 [18]~E(x181,x182)+E(f25(x181),f25(x182))
% 0.79/0.88 [19]~E(x191,x192)+E(f11(x191,x193),f11(x192,x193))
% 0.79/0.88 [20]~E(x201,x202)+E(f11(x203,x201),f11(x203,x202))
% 0.79/0.88 [21]~E(x211,x212)+E(f5(x211),f5(x212))
% 0.79/0.88 [22]~E(x221,x222)+E(f26(x221,x223),f26(x222,x223))
% 0.79/0.88 [23]~E(x231,x232)+E(f26(x233,x231),f26(x233,x232))
% 0.79/0.88 [24]~E(x241,x242)+E(f7(x241,x243),f7(x242,x243))
% 0.79/0.88 [25]~E(x251,x252)+E(f7(x253,x251),f7(x253,x252))
% 0.79/0.88 [26]~E(x261,x262)+E(f23(x261),f23(x262))
% 0.79/0.88 [27]~E(x271,x272)+E(f12(x271,x273),f12(x272,x273))
% 0.79/0.88 [28]~E(x281,x282)+E(f12(x283,x281),f12(x283,x282))
% 0.79/0.88 [29]~E(x291,x292)+E(f9(x291),f9(x292))
% 0.79/0.88 [30]~P1(x301)+P1(x302)+~E(x301,x302)
% 0.79/0.88 [31]~P2(x311)+P2(x312)+~E(x311,x312)
% 0.79/0.88 [32]P4(x322,x323)+~E(x321,x322)+~P4(x321,x323)
% 0.79/0.88 [33]P4(x333,x332)+~E(x331,x332)+~P4(x333,x331)
% 0.79/0.88 [34]P5(x342,x343)+~E(x341,x342)+~P5(x341,x343)
% 0.79/0.88 [35]P5(x353,x352)+~E(x351,x352)+~P5(x353,x351)
% 0.79/0.88 [36]P3(x362,x363)+~E(x361,x362)+~P3(x361,x363)
% 0.79/0.88 [37]P3(x373,x372)+~E(x371,x372)+~P3(x373,x371)
% 0.79/0.88
% 0.79/0.88 %-------------------------------------------
% 0.79/0.88 cnf(120,plain,
% 0.79/0.88 (~P1(a20)),
% 0.79/0.88 inference(scs_inference,[],[48,53])).
% 0.79/0.88 cnf(121,plain,
% 0.79/0.88 (~P4(x1211,a20)),
% 0.79/0.88 inference(rename_variables,[],[48])).
% 0.79/0.88 cnf(123,plain,
% 0.79/0.88 (~P4(x1231,a20)),
% 0.79/0.88 inference(rename_variables,[],[48])).
% 0.79/0.88 cnf(126,plain,
% 0.79/0.88 (~P4(x1261,a20)),
% 0.79/0.88 inference(rename_variables,[],[48])).
% 0.79/0.88 cnf(129,plain,
% 0.79/0.88 (~P4(x1291,a20)),
% 0.79/0.88 inference(rename_variables,[],[48])).
% 0.79/0.88 cnf(131,plain,
% 0.79/0.88 (~P4(x1311,f25(a20))),
% 0.79/0.88 inference(scs_inference,[],[48,121,123,126,129,53,68,67,66,81])).
% 0.79/0.88 cnf(132,plain,
% 0.79/0.88 (~P4(x1321,a20)),
% 0.79/0.88 inference(rename_variables,[],[48])).
% 0.79/0.88 cnf(135,plain,
% 0.79/0.88 (~P4(x1351,a20)),
% 0.79/0.88 inference(rename_variables,[],[48])).
% 0.79/0.88 cnf(138,plain,
% 0.79/0.88 (~P4(x1381,a20)),
% 0.79/0.88 inference(rename_variables,[],[48])).
% 0.79/0.88 cnf(141,plain,
% 0.79/0.88 (~P4(x1411,a20)),
% 0.79/0.88 inference(rename_variables,[],[48])).
% 0.79/0.88 cnf(142,plain,
% 0.79/0.88 (~E(f27(a17,f27(a18,a18)),f27(a17,a17))),
% 0.79/0.88 inference(scs_inference,[],[49,48,121,123,126,129,132,135,138,40,44,53,68,67,66,81,113,112,33,76])).
% 0.79/0.88 cnf(143,plain,
% 0.79/0.88 (P4(f27(x1431,x1432),a13)),
% 0.79/0.88 inference(rename_variables,[],[44])).
% 0.79/0.88 cnf(171,plain,
% 0.79/0.88 (E(f25(a20),a20)),
% 0.79/0.88 inference(scs_inference,[],[49,41,48,121,123,126,129,132,135,138,38,39,40,44,143,53,68,67,66,81,113,112,33,76,75,74,2,52,60,108,84,83,73,72,69,58,57,55])).
% 0.79/0.88 cnf(176,plain,
% 0.79/0.88 (E(f12(x1761,f25(a20)),f12(x1761,a20))),
% 0.79/0.88 inference(scs_inference,[],[49,41,48,121,123,126,129,132,135,138,38,39,40,44,143,53,68,67,66,81,113,112,33,76,75,74,2,52,60,108,84,83,73,72,69,58,57,55,54,29,28])).
% 0.79/0.88 cnf(177,plain,
% 0.79/0.88 (E(f12(f25(a20),x1771),f12(a20,x1771))),
% 0.79/0.88 inference(scs_inference,[],[49,41,48,121,123,126,129,132,135,138,38,39,40,44,143,53,68,67,66,81,113,112,33,76,75,74,2,52,60,108,84,83,73,72,69,58,57,55,54,29,28,27])).
% 0.79/0.88 cnf(179,plain,
% 0.79/0.88 (E(f7(x1791,f25(a20)),f7(x1791,a20))),
% 0.79/0.88 inference(scs_inference,[],[49,41,48,121,123,126,129,132,135,138,38,39,40,44,143,53,68,67,66,81,113,112,33,76,75,74,2,52,60,108,84,83,73,72,69,58,57,55,54,29,28,27,26,25])).
% 0.79/0.88 cnf(186,plain,
% 0.79/0.88 (E(f25(f25(a20)),f25(a20))),
% 0.79/0.88 inference(scs_inference,[],[49,41,48,121,123,126,129,132,135,138,38,39,40,44,143,53,68,67,66,81,113,112,33,76,75,74,2,52,60,108,84,83,73,72,69,58,57,55,54,29,28,27,26,25,24,23,22,21,20,19,18])).
% 0.79/0.88 cnf(196,plain,
% 0.79/0.88 (E(f27(x1961,f25(a20)),f27(x1961,a20))),
% 0.79/0.88 inference(scs_inference,[],[49,41,48,121,123,126,129,132,135,138,38,39,40,44,143,53,68,67,66,81,113,112,33,76,75,74,2,52,60,108,84,83,73,72,69,58,57,55,54,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8])).
% 0.79/0.88 cnf(209,plain,
% 0.79/0.88 (~P4(x2091,f27(f27(a17,a17),f27(a17,f27(a18,a18))))+~E(x2091,f27(a17,f27(a18,a18)))),
% 0.79/0.88 inference(scs_inference,[],[49,41,48,121,123,126,129,132,135,138,38,39,40,44,143,53,68,67,66,81,113,112,33,76,75,74,2,52,60,108,84,83,73,72,69,58,57,55,54,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,92,105,106,102,32])).
% 0.79/0.88 cnf(210,plain,
% 0.79/0.88 (~E(a1,a20)),
% 0.79/0.88 inference(scs_inference,[],[49,41,48,121,123,126,129,132,135,138,38,39,40,44,143,53,68,67,66,81,113,112,33,76,75,74,2,52,60,108,84,83,73,72,69,58,57,55,54,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,92,105,106,102,32,30])).
% 0.79/0.88 cnf(211,plain,
% 0.79/0.88 (~E(a13,f25(a20))),
% 0.79/0.88 inference(scs_inference,[],[49,41,48,121,123,126,129,132,135,138,38,39,40,44,143,53,68,67,66,81,113,112,33,76,75,74,2,52,60,108,84,83,73,72,69,58,57,55,54,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,92,105,106,102,32,30,3])).
% 0.79/0.88 cnf(212,plain,
% 0.79/0.88 (~P5(a13,a20)),
% 0.79/0.88 inference(scs_inference,[],[49,41,48,121,123,126,129,132,135,138,141,38,39,40,44,143,53,68,67,66,81,113,112,33,76,75,74,2,52,60,108,84,83,73,72,69,58,57,55,54,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,92,105,106,102,32,30,3,71])).
% 0.79/0.88 cnf(261,plain,
% 0.79/0.88 (E(f12(f25(a20),x2611),f12(a20,x2611))),
% 0.79/0.88 inference(rename_variables,[],[177])).
% 0.79/0.88 cnf(262,plain,
% 0.79/0.88 (P5(f12(f25(a20),a20),f12(f25(a20),a20))),
% 0.79/0.88 inference(scs_inference,[],[176,177,212,51,64,35,34])).
% 0.79/0.88 cnf(263,plain,
% 0.79/0.88 (E(f12(x2631,f25(a20)),f12(x2631,a20))),
% 0.79/0.88 inference(rename_variables,[],[176])).
% 0.79/0.88 cnf(267,plain,
% 0.79/0.88 (P4(f27(x2671,x2672),a13)),
% 0.79/0.88 inference(rename_variables,[],[44])).
% 0.79/0.88 cnf(276,plain,
% 0.79/0.88 (~P1(f25(a20))),
% 0.79/0.88 inference(scs_inference,[],[49,44,267,39,40,176,177,212,171,120,210,51,64,35,34,66,75,109,86,111,55,30])).
% 0.79/0.88 cnf(278,plain,
% 0.79/0.88 (E(f12(x2781,f25(a20)),f12(x2781,a20))),
% 0.79/0.88 inference(rename_variables,[],[176])).
% 0.79/0.88 cnf(282,plain,
% 0.79/0.88 (~P4(f27(a17,f27(a18,a18)),f27(f27(a17,a17),f27(a17,a17)))),
% 0.79/0.88 inference(scs_inference,[],[49,44,267,39,40,176,263,177,261,212,142,171,120,210,51,64,35,34,66,75,109,86,111,55,30,3,87,78])).
% 0.79/0.88 cnf(284,plain,
% 0.79/0.88 (E(f24(f27(f27(f27(x2841,x2842),f27(x2841,x2842)),f27(f27(x2841,x2842),f27(f27(x2841,x2842),f27(x2841,x2842))))),f27(x2841,x2842))),
% 0.79/0.88 inference(scs_inference,[],[49,44,267,39,40,176,263,177,261,212,142,171,120,210,51,64,35,34,66,75,109,86,111,55,30,3,87,78,95])).
% 0.79/0.88 cnf(291,plain,
% 0.79/0.88 (P4(f27(x2911,x2912),a13)),
% 0.79/0.88 inference(rename_variables,[],[44])).
% 0.79/0.88 cnf(293,plain,
% 0.79/0.88 (E(f12(x2931,a20),f12(x2931,f25(a20)))),
% 0.79/0.88 inference(scs_inference,[],[49,44,267,38,39,40,176,263,278,177,261,212,142,171,120,210,51,64,35,34,66,75,109,86,111,55,30,3,87,78,95,94,53,70,2])).
% 0.79/0.88 cnf(294,plain,
% 0.79/0.88 (~E(a13,f27(f27(a17,a17),f27(a17,f27(a18,a18))))),
% 0.79/0.88 inference(scs_inference,[],[49,44,267,291,38,39,40,176,263,278,177,261,212,142,171,120,210,51,64,35,34,66,75,109,86,111,55,30,3,87,78,95,94,53,70,2,33])).
% 0.79/0.88 cnf(295,plain,
% 0.79/0.88 (P4(f27(x2951,x2952),a13)),
% 0.79/0.88 inference(rename_variables,[],[44])).
% 0.79/0.88 cnf(297,plain,
% 0.79/0.88 (~P4(f24(f27(f27(f27(a17,f27(a18,a18)),f27(a17,f27(a18,a18))),f27(f27(a17,f27(a18,a18)),f27(f27(a17,f27(a18,a18)),f27(a17,f27(a18,a18)))))),f27(f27(a17,a17),f27(a17,f27(a18,a18))))),
% 0.79/0.88 inference(scs_inference,[],[49,44,267,291,38,39,40,176,263,278,177,261,212,142,171,120,210,51,64,35,34,66,75,109,86,111,55,30,3,87,78,95,94,53,70,2,33,8,209])).
% 0.79/0.88 cnf(305,plain,
% 0.79/0.88 (~P4(f19(f27(f27(f27(a17,f27(a18,a18)),f27(a17,f27(a18,a18))),f27(f27(a17,f27(a18,a18)),f27(f27(a17,f27(a18,a18)),f27(a17,f27(a18,a18)))))),f27(f27(a17,a17),f27(a17,f27(a18,a18))))),
% 0.79/0.88 inference(scs_inference,[],[49,41,44,267,291,295,38,39,40,176,263,278,177,261,196,212,142,171,120,210,51,64,35,34,66,75,109,86,111,55,30,3,87,78,95,94,53,70,2,33,8,209,31,74,76,32])).
% 0.79/0.88 cnf(312,plain,
% 0.79/0.88 (P4(f24(f27(f27(f27(f27(f27(x3121,x3122),f27(x3121,x3122)),f27(f27(x3121,x3122),f27(f27(x3121,x3122),f27(x3121,x3122)))),f27(f27(f27(x3121,x3122),f27(x3121,x3122)),f27(f27(x3121,x3122),f27(f27(x3121,x3122),f27(x3121,x3122))))),f27(f27(f27(f27(x3121,x3122),f27(x3121,x3122)),f27(f27(x3121,x3122),f27(f27(x3121,x3122),f27(x3121,x3122)))),f27(f27(f27(f27(x3121,x3122),f27(x3121,x3122)),f27(f27(x3121,x3122),f27(f27(x3121,x3122),f27(x3121,x3122)))),f27(f27(f27(x3121,x3122),f27(x3121,x3122)),f27(f27(x3121,x3122),f27(f27(x3121,x3122),f27(x3121,x3122)))))))),a21)),
% 0.79/0.88 inference(scs_inference,[],[44,284,90])).
% 0.79/0.88 cnf(313,plain,
% 0.79/0.88 (E(f24(f27(f27(f27(x3131,x3132),f27(x3131,x3132)),f27(f27(x3131,x3132),f27(f27(x3131,x3132),f27(x3131,x3132))))),f27(x3131,x3132))),
% 0.79/0.88 inference(rename_variables,[],[284])).
% 0.79/0.88 cnf(318,plain,
% 0.79/0.88 (~P5(a13,f25(a20))),
% 0.79/0.88 inference(scs_inference,[],[44,284,131,171,212,90,66,35])).
% 0.79/0.88 cnf(320,plain,
% 0.79/0.88 (E(f24(f27(f27(f27(x3201,x3202),f27(x3201,x3202)),f27(f27(x3201,x3202),f27(f27(x3201,x3202),f27(x3201,x3202))))),f27(x3201,x3202))),
% 0.79/0.88 inference(rename_variables,[],[284])).
% 0.79/0.88 cnf(324,plain,
% 0.79/0.88 (E(f24(f27(f27(f27(x3241,x3242),f27(x3241,x3242)),f27(f27(x3241,x3242),f27(f27(x3241,x3242),f27(x3241,x3242))))),f27(x3241,x3242))),
% 0.79/0.88 inference(rename_variables,[],[284])).
% 0.79/0.88 cnf(325,plain,
% 0.79/0.88 (~E(f27(f27(a17,a17),f27(a17,f27(a18,a18))),a13)),
% 0.79/0.89 inference(scs_inference,[],[44,284,313,320,297,276,294,131,186,171,212,90,66,35,75,30,3,2])).
% 0.79/0.89 cnf(326,plain,
% 0.79/0.89 (E(f27(x3261,f24(f27(f27(f27(x3262,x3263),f27(x3262,x3263)),f27(f27(x3262,x3263),f27(f27(x3262,x3263),f27(x3262,x3263)))))),f27(x3261,f27(x3262,x3263)))),
% 0.79/0.89 inference(scs_inference,[],[44,284,313,320,324,297,276,294,131,186,171,212,90,66,35,75,30,3,2,8])).
% 0.79/0.89 cnf(327,plain,
% 0.79/0.89 (~E(f27(x3271,x3272),f24(f27(f27(f27(a17,f27(a18,a18)),f27(a17,f27(a18,a18))),f27(f27(a17,f27(a18,a18)),f27(f27(a17,f27(a18,a18)),f27(a17,f27(a18,a18)))))))),
% 0.79/0.89 inference(scs_inference,[],[44,284,313,320,324,297,276,294,131,186,171,212,90,66,35,75,30,3,2,8,32])).
% 0.79/0.89 cnf(350,plain,
% 0.79/0.89 (~P4(f24(f27(f27(f27(a17,f27(a18,a18)),f27(a17,f27(a18,a18))),f27(f27(a17,f27(a18,a18)),f27(f27(a17,f27(a18,a18)),f27(a17,f27(a18,a18)))))),x3501)),
% 0.79/0.89 inference(scs_inference,[],[41,44,284,313,320,324,305,297,276,294,131,186,171,212,90,66,35,75,30,3,2,8,32,33,82,62,61,59,100,99,104,101,88,63,71])).
% 0.79/0.89 cnf(372,plain,
% 0.79/0.89 (P5(f27(x3721,f24(f27(f27(f27(x3722,x3723),f27(x3722,x3723)),f27(f27(x3722,x3723),f27(f27(x3722,x3723),f27(x3722,x3723)))))),f27(x3721,f27(x3722,x3723)))),
% 0.79/0.89 inference(scs_inference,[],[44,326,350,318,179,90,66,75,51])).
% 0.79/0.89 cnf(385,plain,
% 0.79/0.89 (E(f27(x3851,f27(x3852,x3853)),f27(x3851,f24(f27(f27(f27(x3852,x3853),f27(x3852,x3853)),f27(f27(x3852,x3853),f27(f27(x3852,x3853),f27(x3852,x3853)))))))),
% 0.79/0.89 inference(scs_inference,[],[48,41,44,326,350,262,211,312,325,318,293,179,186,90,66,75,51,35,65,76,33,3,2])).
% 0.79/0.89 cnf(386,plain,
% 0.79/0.89 (~P4(f27(a17,f24(f27(f27(f27(a18,a18),f27(a18,a18)),f27(f27(a18,a18),f27(f27(a18,a18),f27(a18,a18)))))),f27(f27(a17,a17),f27(a17,a17)))),
% 0.79/0.89 inference(scs_inference,[],[48,41,44,326,350,262,211,312,325,318,282,293,179,186,90,66,75,51,35,65,76,33,3,2,32])).
% 0.79/0.89 cnf(400,plain,
% 0.79/0.89 (P4(f27(x4001,x4002),a13)),
% 0.79/0.89 inference(rename_variables,[],[44])).
% 0.79/0.89 cnf(409,plain,
% 0.79/0.89 ($false),
% 0.79/0.89 inference(scs_inference,[],[44,400,372,385,327,386,284,75,35,76,8,2]),
% 0.79/0.89 ['proof']).
% 0.79/0.89 % SZS output end Proof
% 0.79/0.89 % Total time :0.240000s
%------------------------------------------------------------------------------