%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SET065+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n021.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 : Mon Jun 24 14:20:26 EDT 2024
% Result : Theorem 0.54s 0.73s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET065+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jun 23 16:24:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.53/0.57 start to proof:theBenchmark
% 0.54/0.73 %-------------------------------------------
% 0.54/0.73 % File :CSE---1.7
% 0.54/0.73 % Problem :theBenchmark
% 0.54/0.73 % Transform :cnf
% 0.54/0.73 % Format :tptp:raw
% 0.54/0.73 % Command :java -jar mcs_scs.jar %d %s
% 0.54/0.73
% 0.54/0.73 % Result :Theorem 0.110000s
% 0.54/0.73 % Output :CNFRefutation 0.110000s
% 0.54/0.73 %-------------------------------------------
% 0.54/0.73 %--------------------------------------------------------------------------
% 0.54/0.73 % File : SET065+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.54/0.73 % Domain : Set Theory
% 0.54/0.73 % Problem : Null class is a set (follows from axiom of infinity)
% 0.54/0.73 % Version : [Qua92] axioms : Reduced & Augmented > Complete.
% 0.54/0.73 % English :
% 0.54/0.73
% 0.54/0.73 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 0.54/0.73 % : [BL+86] Boyer et al. (1986), Set Theory in First-Order Logic:
% 0.54/0.73 % Source : [Qua92]
% 0.54/0.73 % Names :
% 0.54/0.73
% 0.54/0.73 % Status : Theorem
% 0.54/0.73 % Rating : 0.14 v8.2.0, 0.17 v8.1.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.13 v7.3.0, 0.14 v7.1.0, 0.13 v7.0.0, 0.07 v6.4.0, 0.08 v6.3.0, 0.17 v6.2.0, 0.24 v6.1.0, 0.17 v5.5.0, 0.11 v5.4.0
% 0.54/0.73 % Syntax : Number of formulae : 44 ( 17 unt; 0 def)
% 0.54/0.73 % Number of atoms : 101 ( 19 equ)
% 0.54/0.73 % Maximal formula atoms : 4 ( 2 avg)
% 0.54/0.73 % Number of connectives : 62 ( 5 ~; 3 |; 26 &)
% 0.54/0.73 % ( 19 <=>; 9 =>; 0 <=; 0 <~>)
% 0.54/0.73 % Maximal formula depth : 7 ( 4 avg)
% 0.54/0.73 % Maximal term depth : 4 ( 1 avg)
% 0.54/0.73 % Number of predicates : 6 ( 5 usr; 0 prp; 1-2 aty)
% 0.54/0.73 % Number of functors : 26 ( 26 usr; 5 con; 0-3 aty)
% 0.54/0.73 % Number of variables : 86 ( 81 !; 5 ?)
% 0.54/0.73 % SPC : FOF_THM_RFO_SEQ
% 0.54/0.73
% 0.54/0.73 % Comments :
% 0.54/0.73 % Bugfixed : v5.4.0 - Bugfixes to SET005+0 axiom file.
% 0.54/0.73 %--------------------------------------------------------------------------
% 0.54/0.73 %----Include set theory axioms
% 0.54/0.73 include('Axioms/SET005+0.ax').
% 0.54/0.73 %--------------------------------------------------------------------------
% 0.54/0.73 %----SP5: Null class is a set (follows from axiom of infinity)
% 0.54/0.73 fof(null_class_is_a_set,conjecture,
% 0.54/0.73 member(null_class,universal_class) ).
% 0.54/0.73
% 0.54/0.73 %--------------------------------------------------------------------------
% 0.54/0.73 %-------------------------------------------
% 0.54/0.73 % Proof found
% 0.54/0.73 % SZS status Theorem for theBenchmark
% 0.54/0.73 % SZS output start Proof
% 0.55/0.73 %ClaNum:119(EqnAxiom:37)
% 0.55/0.73 %VarNum:607(SingletonVarNum:169)
% 0.55/0.73 %MaxLitNum:4
% 0.55/0.73 %MaxfuncDepth:13
% 0.55/0.73 %SharedTerms:15
% 0.55/0.73 %goalClause: 48
% 0.55/0.73 %singleGoalClaCount:1
% 0.55/0.73 [38]P1(a1)
% 0.55/0.73 [39]P2(a8)
% 0.55/0.73 [40]P4(a1,a13)
% 0.55/0.73 [48]~P4(a18,a13)
% 0.55/0.73 [42]P5(a2,f3(a13,a13))
% 0.55/0.73 [43]P5(a14,f3(a13,a13))
% 0.55/0.73 [41]P5(x411,a13)
% 0.55/0.73 [49]~P4(x491,a18)
% 0.55/0.73 [46]P5(f15(x461),f3(f3(a13,a13),a13))
% 0.55/0.73 [47]P5(f16(x471),f3(f3(a13,a13),a13))
% 0.55/0.73 [44]P4(f25(x441,x442),a13)
% 0.55/0.73 [45]P5(f4(x451,x452),f3(a13,a13))
% 0.55/0.73 [52]~P1(x521)+P5(a1,x521)
% 0.55/0.73 [53]~P1(x531)+P4(a18,x531)
% 0.55/0.73 [54]E(x541,a18)+P4(f9(x541),a13)
% 0.55/0.73 [55]P4(f9(x551),x551)+E(x551,a18)
% 0.55/0.73 [56]P3(f9(x561),x561)+E(x561,a18)
% 0.55/0.73 [57]~P4(x571,a13)+P4(f23(x571),a13)
% 0.55/0.73 [58]~P4(x581,a13)+P4(f21(x581),a13)
% 0.55/0.73 [59]~P4(x591,a19)+P4(f10(x591),a13)
% 0.55/0.73 [60]~P2(x601)+P5(x601,f3(a13,a13))
% 0.55/0.73 [91]~P4(x911,a19)+E(f25(f25(f10(x911),f10(x911)),f25(f10(x911),f25(f10(x911),f10(x911)))),x911)
% 0.55/0.73 [92]~P2(x921)+P5(f4(x921,f6(f16(f3(x921,a13)))),a19)
% 0.55/0.73 [108]~P1(x1081)+P5(f6(f6(f16(f3(f20(a14,f3(x1081,a13)),a13)))),x1081)
% 0.55/0.73 [51]~E(x511,x512)+P5(x511,x512)
% 0.55/0.73 [61]P4(x611,a13)+~P4(x611,f5(x612))
% 0.55/0.73 [62]P4(x621,a13)+~P4(x621,f6(x622))
% 0.55/0.73 [63]P4(x631,a13)+~P4(x631,f21(x632))
% 0.55/0.73 [64]P5(x641,x642)+~P4(x641,f21(x642))
% 0.55/0.73 [66]P5(x661,x662)+P4(f7(x661,x662),x661)
% 0.55/0.73 [67]P3(x671,x672)+P4(f12(x671,x672),x672)
% 0.55/0.73 [68]P3(x681,x682)+P4(f12(x681,x682),x681)
% 0.55/0.73 [69]~P4(x691,x692)+~P4(x691,f5(x692))
% 0.55/0.73 [80]~P4(x801,f23(x802))+P4(x801,f11(x801,x802))
% 0.55/0.73 [81]~P4(x811,f23(x812))+P4(f11(x811,x812),x812)
% 0.55/0.73 [85]P5(x851,x852)+~P4(f7(x851,x852),x852)
% 0.55/0.73 [89]~P4(x892,f6(x891))+~E(f20(x891,f3(f25(x892,x892),a13)),a18)
% 0.55/0.73 [99]P4(x991,a13)+~P4(f25(f25(x992,x992),f25(x992,f25(x991,x991))),a2)
% 0.55/0.73 [100]P4(x1001,a13)+~P4(f25(f25(x1002,x1002),f25(x1002,f25(x1001,x1001))),a14)
% 0.55/0.73 [101]P4(x1011,a13)+~P4(f25(f25(x1011,x1011),f25(x1011,f25(x1012,x1012))),a14)
% 0.55/0.73 [102]P4(x1021,x1022)+~P4(f25(f25(x1021,x1021),f25(x1021,f25(x1022,x1022))),a2)
% 0.55/0.73 [103]E(f24(x1031,f25(x1031,x1031)),x1032)+~P4(f25(f25(x1031,x1031),f25(x1031,f25(x1032,x1032))),a14)
% 0.55/0.73 [72]~P4(x721,x723)+P4(x721,f24(x722,x723))
% 0.55/0.73 [73]~P4(x731,x732)+P4(x731,f24(x732,x733))
% 0.55/0.73 [82]P4(x821,a13)+~P4(x821,f25(x822,x823))
% 0.55/0.73 [83]P4(x831,x832)+~P4(x831,f20(x833,x832))
% 0.55/0.73 [84]P4(x841,x842)+~P4(x841,f20(x842,x843))
% 0.55/0.73 [93]~P4(x931,f3(x932,x933))+E(f25(f25(f17(x931),f17(x931)),f25(f17(x931),f25(f22(x931),f22(x931)))),x931)
% 0.55/0.73 [104]P4(x1041,a13)+~P4(f25(f25(x1041,x1041),f25(x1041,f25(x1042,x1042))),f4(x1043,x1044))
% 0.55/0.73 [105]P4(x1051,x1052)+~P4(f25(f25(x1053,x1053),f25(x1053,f25(x1051,x1051))),f3(x1054,x1052))
% 0.55/0.73 [106]P4(x1061,x1062)+~P4(f25(f25(x1061,x1061),f25(x1061,f25(x1063,x1063))),f3(x1062,x1064))
% 0.55/0.73 [112]~P4(f25(f25(f25(f25(x1123,x1123),f25(x1123,f25(x1121,x1121))),f25(f25(x1123,x1123),f25(x1123,f25(x1121,x1121)))),f25(f25(f25(x1123,x1123),f25(x1123,f25(x1121,x1121))),f25(x1122,x1122))),f15(x1124))+P4(f25(f25(f25(f25(x1121,x1121),f25(x1121,f25(x1122,x1122))),f25(f25(x1121,x1121),f25(x1121,f25(x1122,x1122)))),f25(f25(f25(x1121,x1121),f25(x1121,f25(x1122,x1122))),f25(x1123,x1123))),x1124)
% 0.55/0.73 [113]~P4(f25(f25(f25(f25(x1132,x1132),f25(x1132,f25(x1131,x1131))),f25(f25(x1132,x1132),f25(x1132,f25(x1131,x1131)))),f25(f25(f25(x1132,x1132),f25(x1132,f25(x1131,x1131))),f25(x1133,x1133))),f16(x1134))+P4(f25(f25(f25(f25(x1131,x1131),f25(x1131,f25(x1132,x1132))),f25(f25(x1131,x1131),f25(x1131,f25(x1132,x1132)))),f25(f25(f25(x1131,x1131),f25(x1131,f25(x1132,x1132))),f25(x1133,x1133))),x1134)
% 0.55/0.73 [114]~P4(f25(f25(f25(f25(x1141,x1141),f25(x1141,f25(x1142,x1142))),f25(f25(x1141,x1141),f25(x1141,f25(x1142,x1142)))),f25(f25(f25(x1141,x1141),f25(x1141,f25(x1142,x1142))),f25(x1143,x1143))),f15(x1144))+P4(f25(f25(f25(f25(x1141,x1141),f25(x1141,f25(x1142,x1142))),f25(f25(x1141,x1141),f25(x1141,f25(x1142,x1142)))),f25(f25(f25(x1141,x1141),f25(x1141,f25(x1142,x1142))),f25(x1143,x1143))),f3(f3(a13,a13),a13))
% 0.55/0.74 [115]~P4(f25(f25(f25(f25(x1151,x1151),f25(x1151,f25(x1152,x1152))),f25(f25(x1151,x1151),f25(x1151,f25(x1152,x1152)))),f25(f25(f25(x1151,x1151),f25(x1151,f25(x1152,x1152))),f25(x1153,x1153))),f16(x1154))+P4(f25(f25(f25(f25(x1151,x1151),f25(x1151,f25(x1152,x1152))),f25(f25(x1151,x1151),f25(x1151,f25(x1152,x1152)))),f25(f25(f25(x1151,x1151),f25(x1151,f25(x1152,x1152))),f25(x1153,x1153))),f3(f3(a13,a13),a13))
% 0.55/0.74 [118]~P4(f25(f25(x1184,x1184),f25(x1184,f25(x1181,x1181))),f4(x1182,x1183))+P4(x1181,f6(f6(f16(f3(f20(x1182,f3(f6(f6(f16(f3(f20(x1183,f3(f25(x1184,x1184),a13)),a13)))),a13)),a13)))))
% 0.55/0.74 [107]P2(x1071)+~P5(x1071,f3(a13,a13))+~P5(f4(x1071,f6(f16(f3(x1071,a13)))),a19)
% 0.55/0.74 [110]P1(x1101)+~P4(a18,x1101)+~P5(f6(f6(f16(f3(f20(a14,f3(x1101,a13)),a13)))),x1101)
% 0.55/0.74 [111]~P4(x1111,a13)+E(x1111,a18)+P4(f23(f6(f6(f16(f3(f20(a8,f3(f25(x1111,x1111),a13)),a13))))),x1111)
% 0.55/0.74 [65]~P5(x652,x651)+~P5(x651,x652)+E(x651,x652)
% 0.55/0.74 [70]P4(x701,x702)+P4(x701,f5(x702))+~P4(x701,a13)
% 0.55/0.74 [74]~P5(x741,x742)+~P4(x741,a13)+P4(x741,f21(x742))
% 0.55/0.74 [88]P4(x882,f6(x881))+~P4(x882,a13)+E(f20(x881,f3(f25(x882,x882),a13)),a18)
% 0.55/0.74 [90]~P4(x902,a13)+P4(x901,a19)+~E(x901,f25(f25(x902,x902),f25(x902,f25(x902,x902))))
% 0.55/0.74 [96]~P4(x961,x962)+~P4(x962,a13)+P4(f25(f25(x961,x961),f25(x961,f25(x962,x962))),a2)
% 0.55/0.74 [94]~P4(x942,a13)+~P4(x941,a13)+E(f17(f25(f25(x941,x941),f25(x941,f25(x942,x942)))),x941)
% 0.55/0.74 [95]~P4(x952,a13)+~P4(x951,a13)+E(f22(f25(f25(x951,x951),f25(x951,f25(x952,x952)))),x952)
% 0.55/0.74 [109]~P2(x1091)+~P4(x1092,a13)+P4(f6(f6(f16(f3(f20(x1091,f3(x1092,a13)),a13)))),a13)
% 0.55/0.74 [71]~P4(x711,x713)+P4(x711,x712)+~P5(x713,x712)
% 0.55/0.74 [79]~P3(x793,x792)+~P4(x791,x792)+~P4(x791,x793)
% 0.55/0.74 [75]~E(x751,x753)+~P4(x751,a13)+P4(x751,f25(x752,x753))
% 0.55/0.74 [76]~E(x761,x762)+~P4(x761,a13)+P4(x761,f25(x762,x763))
% 0.55/0.74 [77]~P4(x771,x773)+~P4(x773,x772)+P4(x771,f23(x772))
% 0.55/0.74 [78]E(x781,x782)+E(x781,x783)+~P4(x781,f25(x783,x782))
% 0.55/0.74 [86]~P4(x861,x863)+~P4(x861,x862)+P4(x861,f20(x862,x863))
% 0.55/0.74 [87]P4(x871,x872)+P4(x871,x873)+~P4(x871,f24(x873,x872))
% 0.55/0.74 [97]~P4(x972,x974)+~P4(x971,x973)+P4(f25(f25(x971,x971),f25(x971,f25(x972,x972))),f3(x973,x974))
% 0.55/0.74 [116]~P4(f25(f25(f25(f25(x1162,x1162),f25(x1162,f25(x1163,x1163))),f25(f25(x1162,x1162),f25(x1162,f25(x1163,x1163)))),f25(f25(f25(x1162,x1162),f25(x1162,f25(x1163,x1163))),f25(x1161,x1161))),x1164)+P4(f25(f25(f25(f25(x1161,x1161),f25(x1161,f25(x1162,x1162))),f25(f25(x1161,x1161),f25(x1161,f25(x1162,x1162)))),f25(f25(f25(x1161,x1161),f25(x1161,f25(x1162,x1162))),f25(x1163,x1163))),f15(x1164))+~P4(f25(f25(f25(f25(x1161,x1161),f25(x1161,f25(x1162,x1162))),f25(f25(x1161,x1161),f25(x1161,f25(x1162,x1162)))),f25(f25(f25(x1161,x1161),f25(x1161,f25(x1162,x1162))),f25(x1163,x1163))),f3(f3(a13,a13),a13))
% 0.55/0.74 [117]~P4(f25(f25(f25(f25(x1172,x1172),f25(x1172,f25(x1171,x1171))),f25(f25(x1172,x1172),f25(x1172,f25(x1171,x1171)))),f25(f25(f25(x1172,x1172),f25(x1172,f25(x1171,x1171))),f25(x1173,x1173))),x1174)+P4(f25(f25(f25(f25(x1171,x1171),f25(x1171,f25(x1172,x1172))),f25(f25(x1171,x1171),f25(x1171,f25(x1172,x1172)))),f25(f25(f25(x1171,x1171),f25(x1171,f25(x1172,x1172))),f25(x1173,x1173))),f16(x1174))+~P4(f25(f25(f25(f25(x1171,x1171),f25(x1171,f25(x1172,x1172))),f25(f25(x1171,x1171),f25(x1171,f25(x1172,x1172)))),f25(f25(f25(x1171,x1171),f25(x1171,f25(x1172,x1172))),f25(x1173,x1173))),f3(f3(a13,a13),a13))
% 0.55/0.74 [119]~P4(x1191,a13)+P4(f25(f25(x1191,x1191),f25(x1191,f25(x1192,x1192))),f4(x1193,x1194))+~P4(x1192,f6(f6(f16(f3(f20(x1193,f3(f6(f6(f16(f3(f20(x1194,f3(f25(x1191,x1191),a13)),a13)))),a13)),a13)))))
% 0.55/0.74 [98]~P4(x982,a13)+~P4(x981,a13)+~E(f24(x981,f25(x981,x981)),x982)+P4(f25(f25(x981,x981),f25(x981,f25(x982,x982))),a14)
% 0.55/0.74 %EqnAxiom
% 0.55/0.74 [1]E(x11,x11)
% 0.55/0.74 [2]E(x22,x21)+~E(x21,x22)
% 0.55/0.74 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.55/0.74 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43))
% 0.55/0.74 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52))
% 0.55/0.74 [6]~E(x61,x62)+E(f6(x61),f6(x62))
% 0.55/0.74 [7]~E(x71,x72)+E(f25(x71,x73),f25(x72,x73))
% 0.55/0.74 [8]~E(x81,x82)+E(f25(x83,x81),f25(x83,x82))
% 0.55/0.74 [9]~E(x91,x92)+E(f4(x91,x93),f4(x92,x93))
% 0.55/0.74 [10]~E(x101,x102)+E(f4(x103,x101),f4(x103,x102))
% 0.55/0.74 [11]~E(x111,x112)+E(f16(x111),f16(x112))
% 0.55/0.74 [12]~E(x121,x122)+E(f15(x121),f15(x122))
% 0.55/0.74 [13]~E(x131,x132)+E(f22(x131),f22(x132))
% 0.55/0.74 [14]~E(x141,x142)+E(f20(x141,x143),f20(x142,x143))
% 0.55/0.74 [15]~E(x151,x152)+E(f20(x153,x151),f20(x153,x152))
% 0.55/0.74 [16]~E(x161,x162)+E(f17(x161),f17(x162))
% 0.55/0.74 [17]~E(x171,x172)+E(f10(x171),f10(x172))
% 0.55/0.74 [18]~E(x181,x182)+E(f24(x181,x183),f24(x182,x183))
% 0.55/0.74 [19]~E(x191,x192)+E(f24(x193,x191),f24(x193,x192))
% 0.55/0.74 [20]~E(x201,x202)+E(f9(x201),f9(x202))
% 0.55/0.74 [21]~E(x211,x212)+E(f7(x211,x213),f7(x212,x213))
% 0.55/0.74 [22]~E(x221,x222)+E(f7(x223,x221),f7(x223,x222))
% 0.55/0.74 [23]~E(x231,x232)+E(f11(x231,x233),f11(x232,x233))
% 0.55/0.74 [24]~E(x241,x242)+E(f11(x243,x241),f11(x243,x242))
% 0.55/0.74 [25]~E(x251,x252)+E(f23(x251),f23(x252))
% 0.55/0.74 [26]~E(x261,x262)+E(f21(x261),f21(x262))
% 0.55/0.74 [27]~E(x271,x272)+E(f5(x271),f5(x272))
% 0.55/0.74 [28]~E(x281,x282)+E(f12(x281,x283),f12(x282,x283))
% 0.55/0.74 [29]~E(x291,x292)+E(f12(x293,x291),f12(x293,x292))
% 0.55/0.74 [30]~P1(x301)+P1(x302)+~E(x301,x302)
% 0.55/0.74 [31]~P2(x311)+P2(x312)+~E(x311,x312)
% 0.55/0.74 [32]P4(x322,x323)+~E(x321,x322)+~P4(x321,x323)
% 0.55/0.74 [33]P4(x333,x332)+~E(x331,x332)+~P4(x333,x331)
% 0.55/0.74 [34]P5(x342,x343)+~E(x341,x342)+~P5(x341,x343)
% 0.55/0.74 [35]P5(x353,x352)+~E(x351,x352)+~P5(x353,x351)
% 0.55/0.74 [36]P3(x362,x363)+~E(x361,x362)+~P3(x361,x363)
% 0.55/0.74 [37]P3(x373,x372)+~E(x371,x372)+~P3(x373,x371)
% 0.55/0.74
% 0.55/0.74 %-------------------------------------------
% 0.55/0.74 cnf(120,plain,
% 0.55/0.74 (P5(x1201,x1201)),
% 0.55/0.74 inference(equality_inference,[],[51])).
% 0.55/0.74 cnf(121,plain,
% 0.55/0.74 (~P4(x1211,a13)+P4(x1211,f25(x1212,x1211))),
% 0.55/0.74 inference(equality_inference,[],[75])).
% 0.55/0.74 cnf(122,plain,
% 0.55/0.74 (~P4(x1221,a13)+P4(x1221,f25(x1221,x1222))),
% 0.55/0.74 inference(equality_inference,[],[76])).
% 0.55/0.74 cnf(127,plain,
% 0.55/0.74 (~P4(a18,f5(x1271))),
% 0.55/0.74 inference(scs_inference,[],[48,53,61])).
% 0.55/0.74 cnf(129,plain,
% 0.55/0.74 (~P4(a18,f6(x1291))),
% 0.55/0.74 inference(scs_inference,[],[48,53,61,62])).
% 0.55/0.74 cnf(131,plain,
% 0.55/0.74 (~P4(a18,f21(x1311))),
% 0.55/0.74 inference(scs_inference,[],[48,53,61,62,63])).
% 0.55/0.74 cnf(133,plain,
% 0.55/0.74 (~P4(a18,f25(x1331,x1332))),
% 0.55/0.74 inference(scs_inference,[],[48,53,61,62,63,82])).
% 0.55/0.74 cnf(135,plain,
% 0.55/0.74 (~P4(x1351,f23(a18))),
% 0.55/0.74 inference(scs_inference,[],[48,49,53,61,62,63,82,81])).
% 0.55/0.74 cnf(136,plain,
% 0.55/0.74 (~P4(x1361,a18)),
% 0.55/0.74 inference(rename_variables,[],[49])).
% 0.55/0.74 cnf(138,plain,
% 0.55/0.74 (P5(a18,x1381)),
% 0.55/0.74 inference(scs_inference,[],[48,49,136,53,61,62,63,82,81,66])).
% 0.55/0.74 cnf(139,plain,
% 0.55/0.74 (~P4(x1391,a18)),
% 0.55/0.74 inference(rename_variables,[],[49])).
% 0.55/0.74 cnf(142,plain,
% 0.55/0.74 (~P4(x1421,a18)),
% 0.55/0.74 inference(rename_variables,[],[49])).
% 0.55/0.74 cnf(145,plain,
% 0.55/0.74 (~P4(x1451,a18)),
% 0.55/0.74 inference(rename_variables,[],[49])).
% 0.55/0.74 cnf(148,plain,
% 0.55/0.74 (~P4(x1481,a18)),
% 0.55/0.74 inference(rename_variables,[],[49])).
% 0.55/0.74 cnf(151,plain,
% 0.55/0.74 (~P4(x1511,a18)),
% 0.55/0.74 inference(rename_variables,[],[49])).
% 0.55/0.74 cnf(160,plain,
% 0.55/0.74 (~E(a13,a18)),
% 0.55/0.74 inference(scs_inference,[],[48,49,136,139,142,145,148,151,40,53,61,62,63,82,81,66,67,68,112,113,118,121,122,32,33])).
% 0.55/0.74 cnf(162,plain,
% 0.55/0.74 (P4(a1,f21(a1))),
% 0.55/0.74 inference(scs_inference,[],[48,49,136,139,142,145,148,151,120,40,53,61,62,63,82,81,66,67,68,112,113,118,121,122,32,33,74])).
% 0.55/0.74 cnf(169,plain,
% 0.55/0.74 (~P4(x1691,f4(x1692,x1693))+P4(x1691,f3(a13,a13))),
% 0.55/0.74 inference(scs_inference,[],[48,49,136,139,142,145,148,151,120,45,40,53,61,62,63,82,81,66,67,68,112,113,118,121,122,32,33,74,55,56,71])).
% 0.55/0.74 cnf(176,plain,
% 0.55/0.74 (~P4(x1761,f23(a18))),
% 0.55/0.74 inference(rename_variables,[],[135])).
% 0.55/0.74 cnf(183,plain,
% 0.55/0.74 (~P4(x1831,f23(a18))),
% 0.55/0.74 inference(rename_variables,[],[135])).
% 0.55/0.74 cnf(188,plain,
% 0.55/0.74 (~P4(x1881,f23(a18))),
% 0.55/0.74 inference(rename_variables,[],[135])).
% 0.55/0.74 cnf(192,plain,
% 0.55/0.74 (P4(f9(a13),a13)),
% 0.55/0.74 inference(scs_inference,[],[127,160,135,176,183,44,68,122,53,113,121,112,56,55])).
% 0.55/0.74 cnf(194,plain,
% 0.55/0.74 (P5(f23(a18),x1941)),
% 0.55/0.74 inference(scs_inference,[],[127,160,135,176,183,188,44,68,122,53,113,121,112,56,55,66])).
% 0.55/0.74 cnf(195,plain,
% 0.55/0.74 (~P4(x1951,f23(a18))),
% 0.55/0.74 inference(rename_variables,[],[135])).
% 0.55/0.74 cnf(198,plain,
% 0.55/0.74 (~P4(x1981,f23(a18))),
% 0.55/0.74 inference(rename_variables,[],[135])).
% 0.55/0.74 cnf(200,plain,
% 0.55/0.74 (~P4(x2001,f23(f23(a18)))),
% 0.55/0.74 inference(scs_inference,[],[127,160,135,176,183,188,195,198,44,68,122,53,113,121,112,56,55,66,67,81])).
% 0.55/0.74 cnf(201,plain,
% 0.55/0.74 (~P4(x2011,f23(a18))),
% 0.55/0.74 inference(rename_variables,[],[135])).
% 0.55/0.74 cnf(203,plain,
% 0.55/0.74 (E(f23(a18),a18)),
% 0.55/0.74 inference(scs_inference,[],[127,160,135,176,183,188,195,198,44,138,68,122,53,113,121,112,56,55,66,67,81,65])).
% 0.55/0.74 cnf(206,plain,
% 0.55/0.74 (~E(f21(a1),f23(a18))),
% 0.55/0.74 inference(scs_inference,[],[127,160,135,176,183,188,195,198,201,162,44,138,68,122,53,113,121,112,56,55,66,67,81,65,33])).
% 0.55/0.74 cnf(208,plain,
% 0.55/0.74 (P4(f25(x2081,x2082),f21(a13))),
% 0.55/0.74 inference(scs_inference,[],[127,160,135,176,183,188,195,198,201,162,41,44,138,68,122,53,113,121,112,56,55,66,67,81,65,33,74])).
% 0.55/0.74 cnf(211,plain,
% 0.55/0.74 (~E(f25(x2111,x2112),a18)),
% 0.55/0.74 inference(scs_inference,[],[48,127,160,135,176,183,188,195,198,201,162,41,44,138,68,122,53,113,121,112,56,55,66,67,81,65,33,74,32])).
% 0.55/0.74 cnf(214,plain,
% 0.55/0.74 (E(a18,f23(a18))),
% 0.55/0.74 inference(scs_inference,[],[48,127,160,135,176,183,188,195,198,201,162,41,44,138,68,122,53,113,121,112,56,55,66,67,81,65,33,74,32,91,2])).
% 0.55/0.74 cnf(224,plain,
% 0.55/0.74 (~P4(a18,f3(x2241,x2242))),
% 0.55/0.74 inference(scs_inference,[],[211,93])).
% 0.55/0.74 cnf(225,plain,
% 0.55/0.74 (~E(f25(x2251,x2252),a18)),
% 0.55/0.74 inference(rename_variables,[],[211])).
% 0.55/0.74 cnf(228,plain,
% 0.55/0.74 (~P4(x2281,f23(f23(a18)))),
% 0.55/0.74 inference(rename_variables,[],[200])).
% 0.55/0.74 cnf(234,plain,
% 0.55/0.74 (P5(f23(f23(a18)),x2341)),
% 0.55/0.74 inference(scs_inference,[],[129,211,200,228,192,93,68,53,122,66])).
% 0.55/0.74 cnf(235,plain,
% 0.55/0.74 (~P4(x2351,f23(f23(a18)))),
% 0.55/0.74 inference(rename_variables,[],[200])).
% 0.55/0.74 cnf(238,plain,
% 0.55/0.74 (~P4(x2381,f23(f23(a18)))),
% 0.55/0.74 inference(rename_variables,[],[200])).
% 0.55/0.74 cnf(240,plain,
% 0.55/0.74 (~P4(x2401,f23(f23(f23(a18))))),
% 0.55/0.74 inference(scs_inference,[],[129,211,200,228,235,238,192,93,68,53,122,66,113,81])).
% 0.55/0.74 cnf(241,plain,
% 0.55/0.74 (~P4(x2411,f23(f23(a18)))),
% 0.55/0.74 inference(rename_variables,[],[200])).
% 0.55/0.74 cnf(246,plain,
% 0.55/0.74 (~P4(x2461,f23(f23(a18)))),
% 0.55/0.74 inference(rename_variables,[],[200])).
% 0.55/0.74 cnf(249,plain,
% 0.55/0.74 (~P4(x2491,f23(f23(a18)))),
% 0.55/0.74 inference(rename_variables,[],[200])).
% 0.55/0.74 cnf(253,plain,
% 0.55/0.74 (P4(f9(f25(x2531,x2532)),f25(x2531,x2532))),
% 0.55/0.74 inference(scs_inference,[],[129,211,225,200,228,235,238,241,246,192,93,68,53,122,66,113,81,121,67,112,56,55])).
% 0.55/0.74 cnf(258,plain,
% 0.55/0.74 (~E(f25(x2581,x2582),f23(a18))),
% 0.55/0.74 inference(scs_inference,[],[129,211,225,200,228,235,238,241,246,120,44,203,192,93,68,53,122,66,113,81,121,67,112,56,55,74,3])).
% 0.55/0.74 cnf(261,plain,
% 0.55/0.74 (~P4(a18,f15(x2611))),
% 0.55/0.74 inference(scs_inference,[],[129,211,225,200,228,235,238,241,246,249,208,120,44,203,192,46,93,68,53,122,66,113,81,121,67,112,56,55,74,3,33,71])).
% 0.55/0.74 cnf(263,plain,
% 0.55/0.74 (~E(f9(a13),a18)),
% 0.55/0.74 inference(scs_inference,[],[48,129,211,225,200,228,235,238,241,246,249,208,120,44,203,192,46,93,68,53,122,66,113,81,121,67,112,56,55,74,3,33,71,32])).
% 0.55/0.74 cnf(274,plain,
% 0.55/0.74 (~P4(a18,f3(x2741,x2742))),
% 0.55/0.74 inference(rename_variables,[],[224])).
% 0.55/0.74 cnf(276,plain,
% 0.55/0.74 (~P4(f23(a18),f3(x2761,x2762))),
% 0.55/0.74 inference(scs_inference,[],[224,258,169,93])).
% 0.55/0.74 cnf(280,plain,
% 0.55/0.74 (~P4(x2801,f23(f23(f23(a18))))),
% 0.55/0.74 inference(rename_variables,[],[240])).
% 0.55/0.74 cnf(285,plain,
% 0.55/0.74 (~P4(x2851,f23(f23(f23(a18))))),
% 0.55/0.74 inference(rename_variables,[],[240])).
% 0.55/0.74 cnf(289,plain,
% 0.55/0.74 (P5(f23(f23(f23(a18))),x2891)),
% 0.55/0.74 inference(scs_inference,[],[131,263,240,280,285,224,258,169,93,68,53,67,55,66])).
% 0.55/0.74 cnf(290,plain,
% 0.55/0.74 (~P4(x2901,f23(f23(f23(a18))))),
% 0.55/0.74 inference(rename_variables,[],[240])).
% 0.55/0.74 cnf(295,plain,
% 0.55/0.74 (~P4(x2951,f23(f23(f23(a18))))),
% 0.55/0.74 inference(rename_variables,[],[240])).
% 0.55/0.74 cnf(297,plain,
% 0.55/0.74 (~P4(x2971,f23(f23(f23(f23(a18)))))),
% 0.55/0.74 inference(scs_inference,[],[131,263,240,280,285,290,295,224,258,169,93,68,53,67,55,66,56,112,81])).
% 0.55/0.74 cnf(298,plain,
% 0.55/0.74 (~P4(x2981,f23(f23(f23(a18))))),
% 0.55/0.74 inference(rename_variables,[],[240])).
% 0.55/0.74 cnf(301,plain,
% 0.55/0.74 (~P4(x3011,f23(f23(f23(a18))))),
% 0.55/0.74 inference(rename_variables,[],[240])).
% 0.55/0.74 cnf(316,plain,
% 0.55/0.74 (~E(f9(f25(x3161,x3162)),a18)),
% 0.55/0.74 inference(scs_inference,[],[131,133,206,263,208,240,280,285,290,295,298,301,224,274,41,194,214,253,234,258,42,192,169,93,68,53,67,55,66,56,112,81,113,65,74,3,71,33,32])).
% 0.55/0.74 cnf(339,plain,
% 0.55/0.74 (~P4(x3391,f23(f23(f23(f23(a18)))))),
% 0.55/0.74 inference(rename_variables,[],[297])).
% 0.55/0.74 cnf(342,plain,
% 0.55/0.74 (~P4(x3421,f23(f23(f23(f23(a18)))))),
% 0.55/0.74 inference(rename_variables,[],[297])).
% 0.55/0.74 cnf(347,plain,
% 0.55/0.74 (~P4(x3471,f23(f23(f23(f23(a18)))))),
% 0.55/0.75 inference(rename_variables,[],[297])).
% 0.55/0.75 cnf(350,plain,
% 0.55/0.75 (~P4(x3501,f23(f23(f23(f23(a18)))))),
% 0.55/0.75 inference(rename_variables,[],[297])).
% 0.55/0.75 cnf(353,plain,
% 0.55/0.75 (~P4(x3531,f23(f23(f23(f23(a18)))))),
% 0.55/0.75 inference(rename_variables,[],[297])).
% 0.55/0.75 cnf(366,plain,
% 0.55/0.75 ($false),
% 0.55/0.75 inference(scs_inference,[],[261,316,297,339,342,347,350,353,276,138,289,253,169,68,112,53,67,113,66,55,81,56,65,78]),
% 0.55/0.75 ['proof']).
% 0.55/0.75 % SZS output end Proof
% 0.55/0.75 % Total time :0.110000s
%------------------------------------------------------------------------------