TSTP Solution File: SET103+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET103+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n029.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 14:28:45 EDT 2023
% Result : Theorem 0.71s 0.82s
% Output : CNFRefutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET103+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.16/0.34 % Computer : n029.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Sat Aug 26 13:26:39 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.71/0.81 %-------------------------------------------
% 0.71/0.81 % File :CSE---1.6
% 0.71/0.81 % Problem :theBenchmark
% 0.71/0.81 % Transform :cnf
% 0.71/0.81 % Format :tptp:raw
% 0.71/0.81 % Command :java -jar mcs_scs.jar %d %s
% 0.71/0.81
% 0.71/0.81 % Result :Theorem 0.180000s
% 0.71/0.81 % Output :CNFRefutation 0.180000s
% 0.71/0.81 %-------------------------------------------
% 0.71/0.82 %--------------------------------------------------------------------------
% 0.71/0.82 % File : SET103+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.71/0.82 % Domain : Set Theory
% 0.71/0.82 % Problem : Special member 1 of an ordered pair
% 0.71/0.82 % Version : [Qua92] axioms : Reduced & Augmented > Complete.
% 0.71/0.82 % English :
% 0.71/0.82
% 0.71/0.82 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 0.71/0.82 % : [BL+86] Boyer et al. (1986), Set Theory in First-Order Logic:
% 0.71/0.82 % Source : [Qua92]
% 0.71/0.82 % Names :
% 0.71/0.82
% 0.71/0.82 % Status : Theorem
% 0.71/0.82 % Rating : 0.42 v8.1.0, 0.44 v7.5.0, 0.50 v7.4.0, 0.37 v7.3.0, 0.48 v7.2.0, 0.45 v7.1.0, 0.48 v7.0.0, 0.47 v6.4.0, 0.54 v6.3.0, 0.50 v6.2.0, 0.52 v6.1.0, 0.57 v6.0.0, 0.52 v5.5.0, 0.63 v5.4.0
% 0.71/0.82 % Syntax : Number of formulae : 44 ( 16 unt; 0 def)
% 0.71/0.82 % Number of atoms : 102 ( 20 equ)
% 0.71/0.82 % Maximal formula atoms : 4 ( 2 avg)
% 0.71/0.82 % Number of connectives : 63 ( 5 ~; 4 |; 26 &)
% 0.71/0.82 % ( 19 <=>; 9 =>; 0 <=; 0 <~>)
% 0.71/0.82 % Maximal formula depth : 7 ( 4 avg)
% 0.71/0.82 % Maximal term depth : 4 ( 1 avg)
% 0.71/0.82 % Number of predicates : 6 ( 5 usr; 0 prp; 1-2 aty)
% 0.71/0.82 % Number of functors : 26 ( 26 usr; 5 con; 0-3 aty)
% 0.71/0.82 % Number of variables : 88 ( 83 !; 5 ?)
% 0.71/0.82 % SPC : FOF_THM_RFO_SEQ
% 0.71/0.82
% 0.71/0.82 % Comments :
% 0.71/0.82 % Bugfixed : v5.4.0 - Bugfixes to SET005+0 axiom file.
% 0.71/0.82 %--------------------------------------------------------------------------
% 0.71/0.82 %----Include set theory axioms
% 0.71/0.82 include('Axioms/SET005+0.ax').
% 0.71/0.82 %--------------------------------------------------------------------------
% 0.71/0.82 %----OP3: Special Cases
% 0.71/0.82 fof(property_1_of_ordered_pair,conjecture,
% 0.71/0.82 ! [X,Y] :
% 0.71/0.82 ( unordered_pair(singleton(X),unordered_pair(X,null_class)) = ordered_pair(X,Y)
% 0.71/0.82 | member(Y,universal_class) ) ).
% 0.71/0.82
% 0.71/0.82 %--------------------------------------------------------------------------
% 0.71/0.82 %-------------------------------------------
% 0.71/0.82 % Proof found
% 0.71/0.82 % SZS status Theorem for theBenchmark
% 0.71/0.82 % SZS output start Proof
% 0.71/0.82 %ClaNum:120(EqnAxiom:37)
% 0.71/0.82 %VarNum:607(SingletonVarNum:169)
% 0.71/0.82 %MaxLitNum:4
% 0.71/0.82 %MaxfuncDepth:13
% 0.71/0.82 %SharedTerms:24
% 0.71/0.82 %goalClause: 48 50
% 0.71/0.82 %singleGoalClaCount:2
% 0.71/0.82 [38]P1(a1)
% 0.71/0.82 [39]P2(a8)
% 0.71/0.82 [40]P4(a1,a13)
% 0.71/0.82 [48]~P4(a17,a13)
% 0.71/0.82 [42]P5(a2,f3(a13,a13))
% 0.71/0.82 [43]P5(a14,f3(a13,a13))
% 0.71/0.82 [50]~E(f27(f27(a18,a18),f27(a18,f27(a17,a17))),f27(f27(a18,a18),f27(a18,a20)))
% 0.71/0.82 [41]P5(x411,a13)
% 0.71/0.82 [49]~P4(x491,a20)
% 0.71/0.82 [46]P5(f15(x461),f3(f3(a13,a13),a13))
% 0.71/0.82 [47]P5(f16(x471),f3(f3(a13,a13),a13))
% 0.71/0.82 [44]P4(f27(x441,x442),a13)
% 0.71/0.82 [45]P5(f4(x451,x452),f3(a13,a13))
% 0.71/0.82 [53]~P1(x531)+P5(a1,x531)
% 0.71/0.82 [54]~P1(x541)+P4(a20,x541)
% 0.71/0.82 [55]E(x551,a20)+P4(f9(x551),a13)
% 0.71/0.82 [56]P4(f9(x561),x561)+E(x561,a20)
% 0.71/0.82 [57]P3(f9(x571),x571)+E(x571,a20)
% 0.71/0.82 [58]~P4(x581,a13)+P4(f25(x581),a13)
% 0.71/0.82 [59]~P4(x591,a13)+P4(f23(x591),a13)
% 0.71/0.82 [60]~P4(x601,a21)+P4(f10(x601),a13)
% 0.71/0.82 [61]~P2(x611)+P5(x611,f3(a13,a13))
% 0.71/0.82 [92]~P4(x921,a21)+E(f27(f27(f10(x921),f10(x921)),f27(f10(x921),f27(f10(x921),f10(x921)))),x921)
% 0.71/0.82 [93]~P2(x931)+P5(f4(x931,f6(f16(f3(x931,a13)))),a21)
% 0.71/0.82 [109]~P1(x1091)+P5(f6(f6(f16(f3(f22(a14,f3(x1091,a13)),a13)))),x1091)
% 0.71/0.82 [52]~E(x521,x522)+P5(x521,x522)
% 0.71/0.82 [62]P4(x621,a13)+~P4(x621,f5(x622))
% 0.71/0.82 [63]P4(x631,a13)+~P4(x631,f6(x632))
% 0.71/0.82 [64]P4(x641,a13)+~P4(x641,f23(x642))
% 0.71/0.82 [65]P5(x651,x652)+~P4(x651,f23(x652))
% 0.71/0.82 [67]P5(x671,x672)+P4(f7(x671,x672),x671)
% 0.71/0.82 [68]P3(x681,x682)+P4(f12(x681,x682),x682)
% 0.71/0.82 [69]P3(x691,x692)+P4(f12(x691,x692),x691)
% 0.71/0.82 [70]~P4(x701,x702)+~P4(x701,f5(x702))
% 0.71/0.82 [81]~P4(x811,f25(x812))+P4(x811,f11(x811,x812))
% 0.71/0.82 [82]~P4(x821,f25(x822))+P4(f11(x821,x822),x822)
% 0.71/0.82 [86]P5(x861,x862)+~P4(f7(x861,x862),x862)
% 0.71/0.82 [90]~P4(x902,f6(x901))+~E(f22(x901,f3(f27(x902,x902),a13)),a20)
% 0.71/0.82 [100]P4(x1001,a13)+~P4(f27(f27(x1002,x1002),f27(x1002,f27(x1001,x1001))),a2)
% 0.71/0.82 [101]P4(x1011,a13)+~P4(f27(f27(x1012,x1012),f27(x1012,f27(x1011,x1011))),a14)
% 0.71/0.82 [102]P4(x1021,a13)+~P4(f27(f27(x1021,x1021),f27(x1021,f27(x1022,x1022))),a14)
% 0.71/0.82 [103]P4(x1031,x1032)+~P4(f27(f27(x1031,x1031),f27(x1031,f27(x1032,x1032))),a2)
% 0.71/0.82 [104]E(f26(x1041,f27(x1041,x1041)),x1042)+~P4(f27(f27(x1041,x1041),f27(x1041,f27(x1042,x1042))),a14)
% 0.71/0.82 [73]~P4(x731,x733)+P4(x731,f26(x732,x733))
% 0.71/0.82 [74]~P4(x741,x742)+P4(x741,f26(x742,x743))
% 0.71/0.82 [83]P4(x831,a13)+~P4(x831,f27(x832,x833))
% 0.71/0.82 [84]P4(x841,x842)+~P4(x841,f22(x843,x842))
% 0.71/0.82 [85]P4(x851,x852)+~P4(x851,f22(x852,x853))
% 0.71/0.82 [94]~P4(x941,f3(x942,x943))+E(f27(f27(f19(x941),f19(x941)),f27(f19(x941),f27(f24(x941),f24(x941)))),x941)
% 0.71/0.82 [105]P4(x1051,a13)+~P4(f27(f27(x1051,x1051),f27(x1051,f27(x1052,x1052))),f4(x1053,x1054))
% 0.71/0.82 [106]P4(x1061,x1062)+~P4(f27(f27(x1063,x1063),f27(x1063,f27(x1061,x1061))),f3(x1064,x1062))
% 0.71/0.82 [107]P4(x1071,x1072)+~P4(f27(f27(x1071,x1071),f27(x1071,f27(x1073,x1073))),f3(x1072,x1074))
% 0.71/0.82 [113]~P4(f27(f27(f27(f27(x1133,x1133),f27(x1133,f27(x1131,x1131))),f27(f27(x1133,x1133),f27(x1133,f27(x1131,x1131)))),f27(f27(f27(x1133,x1133),f27(x1133,f27(x1131,x1131))),f27(x1132,x1132))),f15(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)
% 0.71/0.82 [114]~P4(f27(f27(f27(f27(x1142,x1142),f27(x1142,f27(x1141,x1141))),f27(f27(x1142,x1142),f27(x1142,f27(x1141,x1141)))),f27(f27(f27(x1142,x1142),f27(x1142,f27(x1141,x1141))),f27(x1143,x1143))),f16(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))),x1144)
% 0.71/0.82 [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))),f15(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))
% 0.71/0.82 [116]~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))),f16(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))
% 0.71/0.82 [119]~P4(f27(f27(x1194,x1194),f27(x1194,f27(x1191,x1191))),f4(x1192,x1193))+P4(x1191,f6(f6(f16(f3(f22(x1192,f3(f6(f6(f16(f3(f22(x1193,f3(f27(x1194,x1194),a13)),a13)))),a13)),a13)))))
% 0.71/0.82 [108]P2(x1081)+~P5(x1081,f3(a13,a13))+~P5(f4(x1081,f6(f16(f3(x1081,a13)))),a21)
% 0.71/0.82 [111]P1(x1111)+~P4(a20,x1111)+~P5(f6(f6(f16(f3(f22(a14,f3(x1111,a13)),a13)))),x1111)
% 0.71/0.82 [112]~P4(x1121,a13)+E(x1121,a20)+P4(f25(f6(f6(f16(f3(f22(a8,f3(f27(x1121,x1121),a13)),a13))))),x1121)
% 0.71/0.82 [66]~P5(x662,x661)+~P5(x661,x662)+E(x661,x662)
% 0.71/0.82 [71]P4(x711,x712)+P4(x711,f5(x712))+~P4(x711,a13)
% 0.71/0.82 [75]~P5(x751,x752)+~P4(x751,a13)+P4(x751,f23(x752))
% 0.71/0.82 [89]P4(x892,f6(x891))+~P4(x892,a13)+E(f22(x891,f3(f27(x892,x892),a13)),a20)
% 0.71/0.82 [91]~P4(x912,a13)+P4(x911,a21)+~E(x911,f27(f27(x912,x912),f27(x912,f27(x912,x912))))
% 0.71/0.82 [97]~P4(x971,x972)+~P4(x972,a13)+P4(f27(f27(x971,x971),f27(x971,f27(x972,x972))),a2)
% 0.71/0.82 [95]~P4(x952,a13)+~P4(x951,a13)+E(f19(f27(f27(x951,x951),f27(x951,f27(x952,x952)))),x951)
% 0.71/0.82 [96]~P4(x962,a13)+~P4(x961,a13)+E(f24(f27(f27(x961,x961),f27(x961,f27(x962,x962)))),x962)
% 0.71/0.82 [110]~P2(x1101)+~P4(x1102,a13)+P4(f6(f6(f16(f3(f22(x1101,f3(x1102,a13)),a13)))),a13)
% 0.71/0.82 [72]~P4(x721,x723)+P4(x721,x722)+~P5(x723,x722)
% 0.71/0.82 [80]~P3(x803,x802)+~P4(x801,x802)+~P4(x801,x803)
% 0.71/0.82 [76]~E(x761,x763)+~P4(x761,a13)+P4(x761,f27(x762,x763))
% 0.71/0.82 [77]~E(x771,x772)+~P4(x771,a13)+P4(x771,f27(x772,x773))
% 0.71/0.82 [78]~P4(x781,x783)+~P4(x783,x782)+P4(x781,f25(x782))
% 0.71/0.82 [79]E(x791,x792)+E(x791,x793)+~P4(x791,f27(x793,x792))
% 0.71/0.82 [87]~P4(x871,x873)+~P4(x871,x872)+P4(x871,f22(x872,x873))
% 0.71/0.82 [88]P4(x881,x882)+P4(x881,x883)+~P4(x881,f26(x883,x882))
% 0.71/0.82 [98]~P4(x982,x984)+~P4(x981,x983)+P4(f27(f27(x981,x981),f27(x981,f27(x982,x982))),f3(x983,x984))
% 0.71/0.82 [117]~P4(f27(f27(f27(f27(x1172,x1172),f27(x1172,f27(x1173,x1173))),f27(f27(x1172,x1172),f27(x1172,f27(x1173,x1173)))),f27(f27(f27(x1172,x1172),f27(x1172,f27(x1173,x1173))),f27(x1171,x1171))),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))),f15(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))
% 0.71/0.82 [118]~P4(f27(f27(f27(f27(x1182,x1182),f27(x1182,f27(x1181,x1181))),f27(f27(x1182,x1182),f27(x1182,f27(x1181,x1181)))),f27(f27(f27(x1182,x1182),f27(x1182,f27(x1181,x1181))),f27(x1183,x1183))),x1184)+P4(f27(f27(f27(f27(x1181,x1181),f27(x1181,f27(x1182,x1182))),f27(f27(x1181,x1181),f27(x1181,f27(x1182,x1182)))),f27(f27(f27(x1181,x1181),f27(x1181,f27(x1182,x1182))),f27(x1183,x1183))),f16(x1184))+~P4(f27(f27(f27(f27(x1181,x1181),f27(x1181,f27(x1182,x1182))),f27(f27(x1181,x1181),f27(x1181,f27(x1182,x1182)))),f27(f27(f27(x1181,x1181),f27(x1181,f27(x1182,x1182))),f27(x1183,x1183))),f3(f3(a13,a13),a13))
% 0.71/0.82 [120]~P4(x1201,a13)+P4(f27(f27(x1201,x1201),f27(x1201,f27(x1202,x1202))),f4(x1203,x1204))+~P4(x1202,f6(f6(f16(f3(f22(x1203,f3(f6(f6(f16(f3(f22(x1204,f3(f27(x1201,x1201),a13)),a13)))),a13)),a13)))))
% 0.71/0.82 [99]~P4(x992,a13)+~P4(x991,a13)+~E(f26(x991,f27(x991,x991)),x992)+P4(f27(f27(x991,x991),f27(x991,f27(x992,x992))),a14)
% 0.71/0.82 %EqnAxiom
% 0.71/0.82 [1]E(x11,x11)
% 0.71/0.83 [2]E(x22,x21)+~E(x21,x22)
% 0.71/0.83 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.71/0.83 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43))
% 0.71/0.83 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52))
% 0.71/0.83 [6]~E(x61,x62)+E(f6(x61),f6(x62))
% 0.71/0.83 [7]~E(x71,x72)+E(f27(x71,x73),f27(x72,x73))
% 0.71/0.83 [8]~E(x81,x82)+E(f27(x83,x81),f27(x83,x82))
% 0.71/0.83 [9]~E(x91,x92)+E(f4(x91,x93),f4(x92,x93))
% 0.71/0.83 [10]~E(x101,x102)+E(f4(x103,x101),f4(x103,x102))
% 0.71/0.83 [11]~E(x111,x112)+E(f16(x111),f16(x112))
% 0.71/0.83 [12]~E(x121,x122)+E(f15(x121),f15(x122))
% 0.71/0.83 [13]~E(x131,x132)+E(f24(x131),f24(x132))
% 0.71/0.83 [14]~E(x141,x142)+E(f22(x141,x143),f22(x142,x143))
% 0.71/0.83 [15]~E(x151,x152)+E(f22(x153,x151),f22(x153,x152))
% 0.71/0.83 [16]~E(x161,x162)+E(f26(x161,x163),f26(x162,x163))
% 0.71/0.83 [17]~E(x171,x172)+E(f26(x173,x171),f26(x173,x172))
% 0.71/0.83 [18]~E(x181,x182)+E(f19(x181),f19(x182))
% 0.71/0.83 [19]~E(x191,x192)+E(f25(x191),f25(x192))
% 0.71/0.83 [20]~E(x201,x202)+E(f10(x201),f10(x202))
% 0.71/0.83 [21]~E(x211,x212)+E(f5(x211),f5(x212))
% 0.71/0.83 [22]~E(x221,x222)+E(f11(x221,x223),f11(x222,x223))
% 0.71/0.83 [23]~E(x231,x232)+E(f11(x233,x231),f11(x233,x232))
% 0.71/0.83 [24]~E(x241,x242)+E(f12(x241,x243),f12(x242,x243))
% 0.71/0.83 [25]~E(x251,x252)+E(f12(x253,x251),f12(x253,x252))
% 0.71/0.83 [26]~E(x261,x262)+E(f23(x261),f23(x262))
% 0.71/0.83 [27]~E(x271,x272)+E(f7(x271,x273),f7(x272,x273))
% 0.71/0.83 [28]~E(x281,x282)+E(f7(x283,x281),f7(x283,x282))
% 0.71/0.83 [29]~E(x291,x292)+E(f9(x291),f9(x292))
% 0.71/0.83 [30]~P1(x301)+P1(x302)+~E(x301,x302)
% 0.71/0.83 [31]~P2(x311)+P2(x312)+~E(x311,x312)
% 0.71/0.83 [32]P4(x322,x323)+~E(x321,x322)+~P4(x321,x323)
% 0.71/0.83 [33]P4(x333,x332)+~E(x331,x332)+~P4(x333,x331)
% 0.71/0.83 [34]P5(x342,x343)+~E(x341,x342)+~P5(x341,x343)
% 0.71/0.83 [35]P5(x353,x352)+~E(x351,x352)+~P5(x353,x351)
% 0.71/0.83 [36]P3(x362,x363)+~E(x361,x362)+~P3(x361,x363)
% 0.71/0.83 [37]P3(x373,x372)+~E(x371,x372)+~P3(x373,x371)
% 0.71/0.83
% 0.71/0.83 %-------------------------------------------
% 0.71/0.83 cnf(121,plain,
% 0.71/0.83 (~P1(a20)),
% 0.71/0.83 inference(scs_inference,[],[49,54])).
% 0.71/0.83 cnf(122,plain,
% 0.71/0.83 (~P4(x1221,a20)),
% 0.71/0.83 inference(rename_variables,[],[49])).
% 0.71/0.83 cnf(131,plain,
% 0.71/0.83 (~E(f27(a18,f27(a17,a17)),f27(a18,a20))),
% 0.71/0.83 inference(scs_inference,[],[48,49,50,54,83,64,63,62,8])).
% 0.71/0.83 cnf(133,plain,
% 0.71/0.83 (~P4(x1331,a20)),
% 0.71/0.83 inference(rename_variables,[],[49])).
% 0.71/0.83 cnf(135,plain,
% 0.71/0.83 (P3(x1351,a20)),
% 0.71/0.83 inference(scs_inference,[],[48,49,122,133,50,54,83,64,63,62,8,69,68])).
% 0.71/0.83 cnf(136,plain,
% 0.71/0.83 (~P4(x1361,a20)),
% 0.71/0.83 inference(rename_variables,[],[49])).
% 0.71/0.83 cnf(138,plain,
% 0.71/0.83 (P5(a20,x1381)),
% 0.71/0.83 inference(scs_inference,[],[48,49,122,133,136,50,54,83,64,63,62,8,69,68,67])).
% 0.71/0.83 cnf(139,plain,
% 0.71/0.83 (~P4(x1391,a20)),
% 0.71/0.83 inference(rename_variables,[],[49])).
% 0.71/0.83 cnf(141,plain,
% 0.71/0.83 (~P4(x1411,f25(a20))),
% 0.71/0.83 inference(scs_inference,[],[48,49,122,133,136,139,50,54,83,64,63,62,8,69,68,67,82])).
% 0.71/0.83 cnf(142,plain,
% 0.71/0.83 (~P4(x1421,a20)),
% 0.71/0.83 inference(rename_variables,[],[49])).
% 0.71/0.83 cnf(147,plain,
% 0.71/0.83 (~P4(x1471,a20)),
% 0.71/0.83 inference(rename_variables,[],[49])).
% 0.71/0.83 cnf(150,plain,
% 0.71/0.83 (~P4(x1501,a20)),
% 0.71/0.83 inference(rename_variables,[],[49])).
% 0.71/0.83 cnf(153,plain,
% 0.71/0.83 (~P4(x1531,a20)),
% 0.71/0.83 inference(rename_variables,[],[49])).
% 0.71/0.83 cnf(158,plain,
% 0.71/0.83 (~E(f27(f27(a18,a18),f27(a18,a20)),f27(f27(a18,a18),f27(a18,f27(a17,a17))))),
% 0.71/0.83 inference(scs_inference,[],[48,41,49,122,133,136,139,142,147,150,40,50,54,83,64,63,62,8,69,68,67,82,119,114,113,33,32,75,2])).
% 0.71/0.83 cnf(159,plain,
% 0.71/0.83 (P5(a1,a1)),
% 0.71/0.83 inference(scs_inference,[],[48,41,49,122,133,136,139,142,147,150,38,40,50,54,83,64,63,62,8,69,68,67,82,119,114,113,33,32,75,2,53])).
% 0.71/0.83 cnf(173,plain,
% 0.71/0.83 (~P4(a1,f5(a13))),
% 0.71/0.83 inference(scs_inference,[],[48,41,49,122,133,136,139,142,147,150,38,39,40,50,54,83,64,63,62,8,69,68,67,82,119,114,113,33,32,75,2,53,61,109,85,84,74,73,70])).
% 0.71/0.83 cnf(175,plain,
% 0.71/0.83 (P4(f23(a1),a13)),
% 0.71/0.83 inference(scs_inference,[],[48,41,49,122,133,136,139,142,147,150,38,39,40,50,54,83,64,63,62,8,69,68,67,82,119,114,113,33,32,75,2,53,61,109,85,84,74,73,70,59])).
% 0.71/0.83 cnf(179,plain,
% 0.71/0.83 (E(f25(a20),a20)),
% 0.71/0.83 inference(scs_inference,[],[48,41,49,122,133,136,139,142,147,150,38,39,40,50,54,83,64,63,62,8,69,68,67,82,119,114,113,33,32,75,2,53,61,109,85,84,74,73,70,59,58,56])).
% 0.71/0.83 cnf(184,plain,
% 0.71/0.83 (E(f7(x1841,f25(a20)),f7(x1841,a20))),
% 0.71/0.83 inference(scs_inference,[],[48,41,49,122,133,136,139,142,147,150,38,39,40,50,54,83,64,63,62,8,69,68,67,82,119,114,113,33,32,75,2,53,61,109,85,84,74,73,70,59,58,56,55,29,28])).
% 0.71/0.83 cnf(185,plain,
% 0.71/0.83 (E(f7(f25(a20),x1851),f7(a20,x1851))),
% 0.71/0.83 inference(scs_inference,[],[48,41,49,122,133,136,139,142,147,150,38,39,40,50,54,83,64,63,62,8,69,68,67,82,119,114,113,33,32,75,2,53,61,109,85,84,74,73,70,59,58,56,55,29,28,27])).
% 0.71/0.83 cnf(193,plain,
% 0.71/0.83 (E(f25(f25(a20)),f25(a20))),
% 0.71/0.83 inference(scs_inference,[],[48,41,49,122,133,136,139,142,147,150,38,39,40,50,54,83,64,63,62,8,69,68,67,82,119,114,113,33,32,75,2,53,61,109,85,84,74,73,70,59,58,56,55,29,28,27,26,25,24,23,22,21,20,19])).
% 0.71/0.83 cnf(225,plain,
% 0.71/0.83 (~E(a1,a20)),
% 0.71/0.83 inference(scs_inference,[],[48,41,49,122,133,136,139,142,147,150,38,39,40,50,54,83,64,63,62,8,69,68,67,82,119,114,113,33,32,75,2,53,61,109,85,84,74,73,70,59,58,56,55,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,101,100,93,106,105,102,107,103,31,30])).
% 0.71/0.83 cnf(227,plain,
% 0.71/0.83 (~P5(a13,a20)),
% 0.71/0.83 inference(scs_inference,[],[48,41,49,122,133,136,139,142,147,150,153,38,39,40,50,54,83,64,63,62,8,69,68,67,82,119,114,113,33,32,75,2,53,61,109,85,84,74,73,70,59,58,56,55,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,101,100,93,106,105,102,107,103,31,30,3,72])).
% 0.71/0.83 cnf(228,plain,
% 0.71/0.83 (~P4(x2281,a20)),
% 0.71/0.83 inference(rename_variables,[],[49])).
% 0.71/0.83 cnf(230,plain,
% 0.71/0.83 (~P5(a1,a20)),
% 0.71/0.83 inference(scs_inference,[],[48,41,49,122,133,136,139,142,147,150,153,38,39,40,50,54,83,64,63,62,8,69,68,67,82,119,114,113,33,32,75,2,53,61,109,85,84,74,73,70,59,58,56,55,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,101,100,93,106,105,102,107,103,31,30,3,72,66])).
% 0.71/0.83 cnf(241,plain,
% 0.71/0.83 (~P4(f27(f27(a18,a18),f27(a18,f27(a17,a17))),f27(f27(f27(a18,a18),f27(a18,a20)),f27(f27(a18,a18),f27(a18,a20))))),
% 0.71/0.83 inference(scs_inference,[],[48,41,49,122,133,136,139,142,147,150,153,228,38,39,40,50,54,83,64,63,62,8,69,68,67,82,119,114,113,33,32,75,2,53,61,109,85,84,74,73,70,59,58,56,55,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,101,100,93,106,105,102,107,103,31,30,3,72,66,71,110,88,87,79])).
% 0.71/0.83 cnf(247,plain,
% 0.71/0.83 (E(f19(f27(f27(a1,a1),f27(a1,f27(a1,a1)))),a1)),
% 0.71/0.83 inference(scs_inference,[],[48,41,49,122,133,136,139,142,147,150,153,228,38,39,40,50,54,83,64,63,62,8,69,68,67,82,119,114,113,33,32,75,2,53,61,109,85,84,74,73,70,59,58,56,55,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,101,100,93,106,105,102,107,103,31,30,3,72,66,71,110,88,87,79,112,96,95])).
% 0.71/0.83 cnf(249,plain,
% 0.71/0.83 (P4(f27(f27(a1,a1),f27(a1,f27(a1,a1))),f3(a13,a13))),
% 0.71/0.83 inference(scs_inference,[],[48,41,49,122,133,136,139,142,147,150,153,228,38,39,40,50,54,83,64,63,62,8,69,68,67,82,119,114,113,33,32,75,2,53,61,109,85,84,74,73,70,59,58,56,55,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,101,100,93,106,105,102,107,103,31,30,3,72,66,71,110,88,87,79,112,96,95,98])).
% 0.71/0.83 cnf(251,plain,
% 0.71/0.83 (P3(f9(a13),a13)),
% 0.71/0.83 inference(scs_inference,[],[48,41,49,122,133,136,139,142,147,150,153,228,38,39,40,50,54,83,64,63,62,8,69,68,67,82,119,114,113,33,32,75,2,53,61,109,85,84,74,73,70,59,58,56,55,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,101,100,93,106,105,102,107,103,31,30,3,72,66,71,110,88,87,79,112,96,95,98,57])).
% 0.71/0.83 cnf(255,plain,
% 0.71/0.83 (~P4(f27(f27(f27(f27(x2551,x2551),f27(x2551,f27(x2552,x2552))),f27(f27(x2551,x2551),f27(x2551,f27(x2552,x2552)))),f27(f27(f27(x2551,x2551),f27(x2551,f27(x2552,x2552))),f27(a17,a17))),f15(x2553))),
% 0.71/0.83 inference(scs_inference,[],[48,41,49,122,133,136,139,142,147,150,153,228,38,39,40,50,54,83,64,63,62,8,69,68,67,82,119,114,113,33,32,75,2,53,61,109,85,84,74,73,70,59,58,56,55,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,101,100,93,106,105,102,107,103,31,30,3,72,66,71,110,88,87,79,112,96,95,98,57,116,115])).
% 0.71/0.83 cnf(257,plain,
% 0.71/0.83 (~P5(a13,f25(a20))),
% 0.71/0.83 inference(scs_inference,[],[48,41,49,122,133,136,139,142,147,150,153,228,38,39,40,50,54,83,64,63,62,8,69,68,67,82,119,114,113,33,32,75,2,53,61,109,85,84,74,73,70,59,58,56,55,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,101,100,93,106,105,102,107,103,31,30,3,72,66,71,110,88,87,79,112,96,95,98,57,116,115,35])).
% 0.71/0.83 cnf(258,plain,
% 0.71/0.83 (~P3(a13,a13)),
% 0.71/0.83 inference(scs_inference,[],[48,41,49,122,133,136,139,142,147,150,153,228,38,39,40,50,54,83,64,63,62,8,69,68,67,82,119,114,113,33,32,75,2,53,61,109,85,84,74,73,70,59,58,56,55,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,101,100,93,106,105,102,107,103,31,30,3,72,66,71,110,88,87,79,112,96,95,98,57,116,115,35,80])).
% 0.71/0.83 cnf(260,plain,
% 0.71/0.83 (P4(f25(f6(f6(f16(f3(f22(a8,f3(f27(a1,a1),a13)),a13))))),f25(a13))),
% 0.71/0.83 inference(scs_inference,[],[48,41,49,122,133,136,139,142,147,150,153,228,38,39,40,50,54,83,64,63,62,8,69,68,67,82,119,114,113,33,32,75,2,53,61,109,85,84,74,73,70,59,58,56,55,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,101,100,93,106,105,102,107,103,31,30,3,72,66,71,110,88,87,79,112,96,95,98,57,116,115,35,80,78])).
% 0.71/0.83 cnf(271,plain,
% 0.71/0.83 (P5(f7(x2711,f25(a20)),f7(x2711,a20))),
% 0.71/0.83 inference(scs_inference,[],[184,52])).
% 0.71/0.83 cnf(286,plain,
% 0.71/0.83 (P4(f7(a13,a20),a13)),
% 0.71/0.83 inference(scs_inference,[],[40,249,184,260,135,225,227,251,258,52,65,81,94,37,36,34,91,56,67])).
% 0.71/0.83 cnf(296,plain,
% 0.71/0.83 (~P3(f3(a13,a13),f3(a13,a13))),
% 0.71/0.83 inference(scs_inference,[],[44,38,39,40,249,184,260,135,225,227,251,258,52,65,81,94,37,36,34,91,56,67,82,110,87,54,80])).
% 0.71/0.83 cnf(298,plain,
% 0.71/0.83 (~P4(a17,x2981)),
% 0.71/0.83 inference(scs_inference,[],[48,44,41,38,39,40,249,184,260,135,225,227,251,258,52,65,81,94,37,36,34,91,56,67,82,110,87,54,80,72])).
% 0.71/0.83 cnf(301,plain,
% 0.71/0.83 (~P1(f25(a20))),
% 0.71/0.83 inference(scs_inference,[],[48,44,41,38,39,40,249,184,260,135,225,227,179,251,121,258,52,65,81,94,37,36,34,91,56,67,82,110,87,54,80,72,32,30])).
% 0.71/0.83 cnf(303,plain,
% 0.71/0.83 (E(f7(x3031,f25(a20)),f7(x3031,a20))),
% 0.71/0.83 inference(rename_variables,[],[184])).
% 0.71/0.83 cnf(304,plain,
% 0.71/0.83 (E(f7(f25(a20),x3041),f7(a20,x3041))),
% 0.71/0.83 inference(rename_variables,[],[185])).
% 0.71/0.83 cnf(307,plain,
% 0.71/0.83 (~P4(f27(f27(a18,a18),f27(a18,a20)),f27(f27(f27(a18,a18),f27(a18,f27(a17,a17))),f27(f27(a18,a18),f27(a18,f27(a17,a17)))))),
% 0.71/0.83 inference(scs_inference,[],[48,44,41,38,39,40,255,249,184,185,158,260,135,225,227,179,251,121,258,52,65,81,94,37,36,34,91,56,67,82,110,87,54,80,72,32,30,3,88,79])).
% 0.71/0.83 cnf(309,plain,
% 0.71/0.83 (E(f24(f27(f27(f27(x3091,x3092),f27(x3091,x3092)),f27(f27(x3091,x3092),f27(f27(x3091,x3092),f27(x3091,x3092))))),f27(x3091,x3092))),
% 0.71/0.83 inference(scs_inference,[],[48,44,41,38,39,40,255,249,184,185,158,260,135,225,227,179,251,121,258,52,65,81,94,37,36,34,91,56,67,82,110,87,54,80,72,32,30,3,88,79,96])).
% 0.71/0.83 cnf(311,plain,
% 0.71/0.83 (E(f19(f27(f27(f27(x3111,x3112),f27(x3111,x3112)),f27(f27(x3111,x3112),f27(f27(x3111,x3112),f27(x3111,x3112))))),f27(x3111,x3112))),
% 0.71/0.83 inference(scs_inference,[],[48,44,41,38,39,40,255,249,184,185,158,260,135,225,227,179,251,121,258,52,65,81,94,37,36,34,91,56,67,82,110,87,54,80,72,32,30,3,88,79,96,95])).
% 0.71/0.83 cnf(315,plain,
% 0.71/0.83 (P4(f12(f3(a13,a13),f3(a13,a13)),f3(a13,a13))),
% 0.71/0.83 inference(scs_inference,[],[48,44,41,38,39,40,255,249,184,185,158,260,135,225,227,179,251,121,258,52,65,81,94,37,36,34,91,56,67,82,110,87,54,80,72,32,30,3,88,79,96,95,69,68])).
% 0.71/0.83 cnf(320,plain,
% 0.71/0.83 (E(f7(x3201,a20),f7(x3201,f25(a20)))),
% 0.71/0.83 inference(scs_inference,[],[48,44,41,38,39,40,255,249,241,184,303,185,158,260,135,225,227,173,179,251,121,258,52,65,81,94,37,36,34,91,56,67,82,110,87,54,80,72,32,30,3,88,79,96,95,69,68,33,71,2])).
% 0.71/0.83 cnf(327,plain,
% 0.71/0.83 (P4(f27(f27(a1,a1),f27(a1,f27(f23(a1),f23(a1)))),a2)),
% 0.71/0.83 inference(scs_inference,[],[48,43,44,41,38,39,40,255,249,241,184,303,185,304,158,260,135,225,227,173,175,179,251,121,159,258,52,65,81,94,37,36,34,91,56,67,82,110,87,54,80,72,32,30,3,88,79,96,95,69,68,33,71,2,8,35,108,75,97])).
% 0.71/0.83 cnf(347,plain,
% 0.71/0.83 (~P4(x3471,f25(a20))),
% 0.71/0.83 inference(rename_variables,[],[141])).
% 0.71/0.83 cnf(356,plain,
% 0.71/0.83 (~P4(x3561,f25(f25(a20)))),
% 0.71/0.83 inference(scs_inference,[],[42,44,141,347,298,327,251,67,91,80,72,82])).
% 0.71/0.83 cnf(357,plain,
% 0.71/0.83 (~P4(x3571,f25(a20))),
% 0.71/0.83 inference(rename_variables,[],[141])).
% 0.71/0.83 cnf(359,plain,
% 0.71/0.83 (~E(a20,f3(a13,a13))),
% 0.71/0.83 inference(scs_inference,[],[42,44,296,141,347,298,327,135,251,67,91,80,72,82,37])).
% 0.71/0.83 cnf(361,plain,
% 0.71/0.83 (~P5(f19(f27(f27(a1,a1),f27(a1,f27(a1,a1)))),a20)),
% 0.71/0.83 inference(scs_inference,[],[42,44,296,141,347,298,247,327,230,135,251,67,91,80,72,82,37,34])).
% 0.71/0.83 cnf(363,plain,
% 0.71/0.83 (E(f24(f27(f27(f27(x3631,x3632),f27(x3631,x3632)),f27(f27(x3631,x3632),f27(f27(x3631,x3632),f27(x3631,x3632))))),f27(x3631,x3632))),
% 0.71/0.83 inference(rename_variables,[],[309])).
% 0.71/0.83 cnf(365,plain,
% 0.71/0.83 (~P4(x3651,f25(a20))),
% 0.71/0.83 inference(rename_variables,[],[141])).
% 0.71/0.83 cnf(374,plain,
% 0.71/0.83 (~E(f27(a17,a17),a20)),
% 0.71/0.83 inference(scs_inference,[],[131,42,44,309,363,296,307,141,347,357,365,193,298,301,247,327,230,135,251,67,91,80,72,82,37,34,3,69,30,68,33,2,8])).
% 0.71/0.83 cnf(382,plain,
% 0.71/0.83 (P4(f9(f27(a17,a17)),f27(a17,a17))),
% 0.71/0.83 inference(scs_inference,[],[131,42,44,309,363,296,307,320,141,347,357,365,193,298,301,247,327,286,257,230,135,251,67,91,80,72,82,37,34,3,69,30,68,33,2,8,32,35,89,52,56])).
% 0.71/0.83 cnf(384,plain,
% 0.71/0.83 (E(f9(f27(a17,a17)),a17)),
% 0.71/0.83 inference(scs_inference,[],[131,42,44,309,363,296,307,320,141,347,357,365,193,298,301,247,327,286,257,230,135,251,67,91,80,72,82,37,34,3,69,30,68,33,2,8,32,35,89,52,56,79])).
% 0.71/0.83 cnf(403,plain,
% 0.71/0.83 (~P4(x4031,a20)),
% 0.71/0.83 inference(rename_variables,[],[49])).
% 0.71/0.83 cnf(425,plain,
% 0.71/0.83 ($false),
% 0.71/0.83 inference(scs_inference,[],[49,403,131,44,382,315,356,359,271,384,374,361,311,138,320,298,52,56,67,72,80,79,112,69,66,33,2,8,3,35,32]),
% 0.71/0.83 ['proof']).
% 0.71/0.83 % SZS output end Proof
% 0.71/0.83 % Total time :0.180000s
%------------------------------------------------------------------------------