%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM268_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:39:56 AM UTC 2026
% Result : Theorem 2.17s 1.08s
% Output : Refutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 44 ( 12 unt; 0 typ; 3 def)
% Number of atoms : 107 ( 20 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 112 ( 49 ~; 44 |; 12 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 27 ( 26 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 3 prp; 0-3 aty)
% Number of functors : 135 ( 135 usr; 39 con; 0-5 aty)
% Number of variables : 174 ( 0 sgn 136 !; 38 ?; 174 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
vEntry: $tType ).
tff(type_def_6,type,
vYN: $tType ).
tff(type_def_7,type,
vMapConf: $tType ).
tff(type_def_8,type,
vOptAType: $tType ).
tff(type_def_9,type,
vATMap: $tType ).
tff(type_def_10,type,
vQuestionnaire: $tType ).
tff(type_def_11,type,
vOptMapConf: $tType ).
tff(type_def_12,type,
vQConf: $tType ).
tff(type_def_13,type,
vstring: $tType ).
tff(type_def_14,type,
vchar: $tType ).
tff(type_def_15,type,
vAval: $tType ).
tff(type_def_16,type,
vOptQConf: $tType ).
tff(type_def_17,type,
vOptQuestion: $tType ).
tff(type_def_18,type,
vAnsMap: $tType ).
tff(type_def_19,type,
vExp: $tType ).
tff(type_def_20,type,
vQMap: $tType ).
tff(type_def_21,type,
vQID: $tType ).
tff(type_def_22,type,
vLabel: $tType ).
tff(type_def_23,type,
vOptAval: $tType ).
tff(type_def_24,type,
vnat: $tType ).
tff(type_def_25,type,
vOptExp: $tType ).
tff(type_def_26,type,
vGID: $tType ).
tff(type_def_27,type,
vATList: $tType ).
tff(type_def_28,type,
vBinOpT: $tType ).
tff(type_def_29,type,
vUnOpT: $tType ).
tff(type_def_30,type,
vAType: $tType ).
tff(func_def_0,type,
vconstant: vAval > vExp ).
tff(func_def_1,type,
vqmempty: vQMap ).
tff(func_def_2,type,
vquestion: ( vQID * vLabel * vAType ) > vEntry ).
tff(func_def_3,type,
vsomeMapConf: vMapConf > vOptMapConf ).
tff(func_def_4,type,
vsomeExp: vExp > vOptExp ).
tff(func_def_5,type,
vsubop: vBinOpT ).
tff(func_def_6,type,
vqcond: ( vExp * vQuestionnaire * vQuestionnaire ) > vQuestionnaire ).
tff(func_def_7,type,
vandop: vBinOpT ).
tff(func_def_8,type,
vnotop: vUnOpT ).
tff(func_def_9,type,
vNum: vnat > vAval ).
tff(func_def_10,type,
vnoAType: vOptAType ).
tff(func_def_11,type,
vyes: vYN ).
tff(func_def_12,type,
vT: vstring > vAval ).
tff(func_def_13,type,
vNumber: vAType ).
tff(func_def_14,type,
vdivop: vBinOpT ).
tff(func_def_15,type,
vzero: vnat ).
tff(func_def_16,type,
vsucc: vnat > vnat ).
tff(func_def_17,type,
vabind: ( vQID * vAval * vAnsMap ) > vAnsMap ).
tff(func_def_18,type,
vnoAval: vOptAval ).
tff(func_def_19,type,
vYesNo: vAType ).
tff(func_def_20,type,
vdefquestion: ( vQID * vLabel * vAType ) > vEntry ).
tff(func_def_21,type,
vunop: ( vUnOpT * vExp ) > vExp ).
tff(func_def_22,type,
vaempty: vAnsMap ).
tff(func_def_23,type,
vatempty: vATList ).
tff(func_def_24,type,
vscons: ( vchar * vstring ) > vstring ).
tff(func_def_25,type,
vqseq: ( vQuestionnaire * vQuestionnaire ) > vQuestionnaire ).
tff(func_def_26,type,
vmulop: vBinOpT ).
tff(func_def_27,type,
vqempty: vQuestionnaire ).
tff(func_def_28,type,
vsomeQConf: vQConf > vOptQConf ).
tff(func_def_29,type,
vnoQConf: vOptQConf ).
tff(func_def_30,type,
vnoExp: vOptExp ).
tff(func_def_31,type,
vbinop: ( vExp * vBinOpT * vExp ) > vExp ).
tff(func_def_32,type,
vB: vYN > vAval ).
tff(func_def_33,type,
vQC: ( vAnsMap * vQMap * vQuestionnaire ) > vQConf ).
tff(func_def_34,type,
vorop: vBinOpT ).
tff(func_def_35,type,
veqop: vBinOpT ).
tff(func_def_36,type,
vatcons: ( vAType * vATList ) > vATList ).
tff(func_def_37,type,
vText: vAType ).
tff(func_def_38,type,
vsomeAval: vAval > vOptAval ).
tff(func_def_39,type,
vqsingle: vEntry > vQuestionnaire ).
tff(func_def_40,type,
vMC: ( vATMap * vATMap ) > vMapConf ).
tff(func_def_41,type,
vaddop: vBinOpT ).
tff(func_def_42,type,
vsomeQuestion: ( vQID * vLabel * vAType ) > vOptQuestion ).
tff(func_def_43,type,
vltop: vBinOpT ).
tff(func_def_44,type,
vqvar: vQID > vExp ).
tff(func_def_45,type,
vnoMapConf: vOptMapConf ).
tff(func_def_46,type,
vatmbind: ( vQID * vAType * vATMap ) > vATMap ).
tff(func_def_47,type,
vgtop: vBinOpT ).
tff(func_def_48,type,
vsempty: vstring ).
tff(func_def_49,type,
vqmbind: ( vQID * vLabel * vAType * vQMap ) > vQMap ).
tff(func_def_50,type,
vask: vQID > vEntry ).
tff(func_def_51,type,
vsomeAType: vAType > vOptAType ).
tff(func_def_52,type,
vnoQuestion: vOptQuestion ).
tff(func_def_53,type,
vqgroup: ( vGID * vQuestionnaire ) > vQuestionnaire ).
tff(func_def_54,type,
vatmempty: vATMap ).
tff(func_def_55,type,
vno: vYN ).
tff(func_def_56,type,
vvalue: ( vQID * vAType * vExp ) > vEntry ).
tff(func_def_57,type,
vgetAnswer: ( vLabel * vAType ) > vAval ).
tff(func_def_58,type,
vecheck: ( vATMap * vExp ) > vOptAType ).
tff(func_def_59,type,
vgetAM: vQConf > vAnsMap ).
tff(func_def_60,type,
venumGID: vGID > vGID ).
tff(func_def_61,type,
vaskText: vLabel > vstring ).
tff(func_def_62,type,
vminus: ( vnat * vnat ) > vnat ).
tff(func_def_63,type,
vtypeOf: vAval > vAType ).
tff(func_def_64,type,
vevalBinOp: ( vBinOpT * vAval * vAval ) > vOptExp ).
tff(func_def_65,type,
vgetQM: vQConf > vQMap ).
tff(func_def_66,type,
vinitQID: vQID ).
tff(func_def_67,type,
vplus: ( vnat * vnat ) > vnat ).
tff(func_def_68,type,
vaskYesNo: vLabel > vYN ).
tff(func_def_69,type,
vtypeAM: vAnsMap > vATMap ).
tff(func_def_70,type,
vlookupQMap: ( vQID * vQMap ) > vOptQuestion ).
tff(func_def_71,type,
vaskNumber: vLabel > vnat ).
tff(func_def_72,type,
vinitLabel: vLabel ).
tff(func_def_73,type,
vdivide: ( vnat * vnat ) > vnat ).
tff(func_def_74,type,
vappendATMap: ( vATMap * vATMap ) > vATMap ).
tff(func_def_75,type,
vor: ( vYN * vYN ) > vYN ).
tff(func_def_76,type,
vpred: vnat > vnat ).
tff(func_def_77,type,
vlookupATMap: ( vQID * vATMap ) > vOptAType ).
tff(func_def_78,type,
vqcappend: ( vQConf * vQuestionnaire ) > vQConf ).
tff(func_def_79,type,
venumchar: vchar > vchar ).
tff(func_def_80,type,
vinitchar: vchar ).
tff(func_def_81,type,
vgetQuest: vQConf > vQuestionnaire ).
tff(func_def_82,type,
vevalUnOp: ( vUnOpT * vAval ) > vOptExp ).
tff(func_def_83,type,
vcheckBinOp: ( vBinOpT * vAType * vAType ) > vOptAType ).
tff(func_def_84,type,
vnot: vYN > vYN ).
tff(func_def_85,type,
vreduce: ( vQuestionnaire * vAnsMap * vQMap ) > vOptQConf ).
tff(func_def_86,type,
vmultiply: ( vnat * vnat ) > vnat ).
tff(func_def_87,type,
vappendAnsMap: ( vAnsMap * vAnsMap ) > vAnsMap ).
tff(func_def_88,type,
vcheckUnOp: ( vUnOpT * vAType ) > vOptAType ).
tff(func_def_89,type,
vtypeQM: vQMap > vATMap ).
tff(func_def_90,type,
vintersectATM: ( vATMap * vATMap ) > vATMap ).
tff(func_def_91,type,
venumLabel: vLabel > vLabel ).
tff(func_def_92,type,
vinitGID: vGID ).
tff(func_def_93,type,
vlt: ( vnat * vnat ) > vYN ).
tff(func_def_94,type,
vgt: ( vnat * vnat ) > vYN ).
tff(func_def_95,type,
vlookupAnsMap: ( vQID * vAnsMap ) > vOptAval ).
tff(func_def_96,type,
vreduceExp: ( vExp * vAnsMap ) > vOptExp ).
tff(func_def_97,type,
venumQID: vQID > vQID ).
tff(func_def_98,type,
vand: ( vYN * vYN ) > vYN ).
tff(func_def_99,type,
vappend: ( vATList * vATList ) > vATList ).
tff(func_def_100,type,
vgetQuestionQID: vOptQuestion > vQID ).
tff(func_def_101,type,
vgetMapConf: vOptMapConf > vMapConf ).
tff(func_def_102,type,
vgetQuestionLabel: vOptQuestion > vLabel ).
tff(func_def_103,type,
vgetAType: vOptAType > vAType ).
tff(func_def_104,type,
vgetQuestionAType: vOptQuestion > vAType ).
tff(func_def_105,type,
vgetQC: vOptQConf > vQConf ).
tff(func_def_106,type,
vgetExpValue: vExp > vAval ).
tff(func_def_107,type,
vgetAval: vOptAval > vAval ).
tff(func_def_108,type,
vgetExp: vOptExp > vExp ).
tff(func_def_109,type,
sK0: vQMap ).
tff(func_def_110,type,
sK1: vAType ).
tff(func_def_111,type,
sK2: vATMap ).
tff(func_def_112,type,
sK3: vATMap ).
tff(func_def_113,type,
sK4: vAnsMap ).
tff(func_def_114,type,
sK5: vQID ).
tff(func_def_115,type,
sK6: vExp ).
tff(func_def_116,type,
sK7: vQuestionnaire > vQuestionnaire ).
tff(func_def_117,type,
sK8: vQConf > vAnsMap ).
tff(func_def_118,type,
sK9: vQConf > vQMap ).
tff(func_def_119,type,
sK10: vQConf > vQuestionnaire ).
tff(func_def_120,type,
sK11: vMapConf > vATMap ).
tff(func_def_121,type,
sK12: vMapConf > vATMap ).
tff(func_def_122,type,
sK13: ( vQMap * vAType * vAnsMap * vQID * vExp ) > vAnsMap ).
tff(func_def_123,type,
sK14: ( vQMap * vAType * vAnsMap * vQID * vExp ) > vQMap ).
tff(func_def_124,type,
sK15: ( vQMap * vAType * vAnsMap * vQID * vExp ) > vQuestionnaire ).
tff(func_def_125,type,
sK16: ( vQMap * vAType * vAnsMap * vQID * vExp ) > vAnsMap ).
tff(func_def_126,type,
sK17: ( vQMap * vAType * vAnsMap * vQID * vExp ) > vQMap ).
tff(func_def_127,type,
sK18: ( vQMap * vAType * vAnsMap * vQID * vExp ) > vQuestionnaire ).
tff(func_def_128,type,
sK19: vAnsMap > vQID ).
tff(func_def_129,type,
sK20: vAnsMap > vAval ).
tff(func_def_130,type,
sK21: vAnsMap > vAnsMap ).
tff(func_def_131,type,
sK22: vQMap > vQID ).
tff(func_def_132,type,
sK23: vQMap > vLabel ).
tff(func_def_133,type,
sK24: vQMap > vAType ).
tff(func_def_134,type,
sK25: vQMap > vQMap ).
tff(pred_def_1,type,
vexpIsValue: vExp > $o ).
tff(pred_def_2,type,
visValue: vQuestionnaire > $o ).
tff(pred_def_3,type,
visSomeAType: vOptAType > $o ).
tff(pred_def_4,type,
visSomeQC: vOptQConf > $o ).
tff(pred_def_5,type,
visSomeAval: vOptAval > $o ).
tff(pred_def_6,type,
visSomeExp: vOptExp > $o ).
tff(pred_def_7,type,
visSomeMapConf: vOptMapConf > $o ).
tff(pred_def_8,type,
visSomeQuestion: vOptQuestion > $o ).
tff(pred_def_9,type,
vptcheck: ( vMapConf * vQuestionnaire * vMapConf ) > $o ).
tff(pred_def_10,type,
sP26: vOptQConf > $o ).
tff(pred_def_11,type,
sP27: vQuestionnaire > $o ).
tff(f340,axiom,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vAType,X4: vATMap,X5: vQID,X6: vExp] :
( vptcheck(vMC(X1,X0),vqsingle(vvalue(X5,X3,X6)),vMC(X4,X2))
=> ( X2 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Tvalue_inv4') ).
tff(f360,axiom,
! [X0: vQMap,X1: vAType,X2: vATMap,X3: vATMap,X4: vAnsMap,X5: vQID,X6: vExp] :
( ( vexpIsValue(X6)
& ~ visValue(vqsingle(vvalue(X5,X1,X6)))
& vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqsingle(vvalue(X5,X1,X6)),vMC(X2,X3)) )
=> ? [X7: vAnsMap,X8: vQMap,X9: vQuestionnaire] : ( vreduce(vqsingle(vvalue(X5,X1,X6)),X4,X0) = vsomeQConf(vQC(X7,X8,X9)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Progress-qsingle-value-expIsValue-True') ).
tff(f361,axiom,
! [X0: vQMap,X1: vAType,X2: vATMap,X3: vATMap,X4: vAnsMap,X5: vQID,X6: vExp] :
( ( ~ vexpIsValue(X6)
& ~ visValue(vqsingle(vvalue(X5,X1,X6)))
& vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqsingle(vvalue(X5,X1,X6)),vMC(X2,X3)) )
=> ? [X7: vAnsMap,X8: vQMap,X9: vQuestionnaire] : ( vreduce(vqsingle(vvalue(X5,X1,X6)),X4,X0) = vsomeQConf(vQC(X7,X8,X9)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Progress-qsingle-value-expIsValue-False') ).
tff(f362,conjecture,
! [X0: vQMap,X1: vAType,X2: vATMap,X3: vATMap,X4: vAnsMap,X5: vQID,X6: vExp] :
( ( ~ visValue(vqsingle(vvalue(X5,X1,X6)))
& vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqsingle(vvalue(X5,X1,X6)),vMC(X2,X3)) )
=> ? [X7: vAnsMap,X8: vQMap,X9: vQuestionnaire] : ( vreduce(vqsingle(vvalue(X5,X1,X6)),X4,X0) = vsomeQConf(vQC(X7,X8,X9)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Progress-qsingle-value') ).
tff(f363,negated_conjecture,
~ ! [X0: vQMap,X1: vAType,X2: vATMap,X3: vATMap,X4: vAnsMap,X5: vQID,X6: vExp] :
( ( ~ visValue(vqsingle(vvalue(X5,X1,X6)))
& vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqsingle(vvalue(X5,X1,X6)),vMC(X2,X3)) )
=> ? [X7: vAnsMap,X8: vQMap,X9: vQuestionnaire] : ( vreduce(vqsingle(vvalue(X5,X1,X6)),X4,X0) = vsomeQConf(vQC(X7,X8,X9)) ) ),
inference(negated_conjecture,[status(cth)],[f362]) ).
tff(f364,plain,
? [X0: vQMap,X1: vAType,X2: vATMap,X3: vATMap,X4: vAnsMap,X5: vQID,X6: vExp] :
( ! [X7: vAnsMap,X8: vQMap,X9: vQuestionnaire] : ( vreduce(vqsingle(vvalue(X5,X1,X6)),X4,X0) != vsomeQConf(vQC(X7,X8,X9)) )
& ~ visValue(vqsingle(vvalue(X5,X1,X6)))
& vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqsingle(vvalue(X5,X1,X6)),vMC(X2,X3)) ),
inference(ennf_transformation,[],[f363]) ).
tff(f365,plain,
? [X0: vQMap,X1: vAType,X2: vATMap,X3: vATMap,X4: vAnsMap,X5: vQID,X6: vExp] :
( ! [X7: vAnsMap,X8: vQMap,X9: vQuestionnaire] : ( vreduce(vqsingle(vvalue(X5,X1,X6)),X4,X0) != vsomeQConf(vQC(X7,X8,X9)) )
& ~ visValue(vqsingle(vvalue(X5,X1,X6)))
& vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqsingle(vvalue(X5,X1,X6)),vMC(X2,X3)) ),
inference(flattening,[],[f364]) ).
tff(f373,plain,
! [X0: vATMap,X1: vATMap,X2: vATMap,X3: vAType,X4: vATMap,X5: vQID,X6: vExp] :
( ( X2 = X0 )
| ~ vptcheck(vMC(X1,X0),vqsingle(vvalue(X5,X3,X6)),vMC(X4,X2)) ),
inference(ennf_transformation,[],[f340]) ).
tff(f377,plain,
! [X0: vQMap,X1: vAType,X2: vATMap,X3: vATMap,X4: vAnsMap,X5: vQID,X6: vExp] :
( ? [X7: vAnsMap,X8: vQMap,X9: vQuestionnaire] : ( vreduce(vqsingle(vvalue(X5,X1,X6)),X4,X0) = vsomeQConf(vQC(X7,X8,X9)) )
| vexpIsValue(X6)
| visValue(vqsingle(vvalue(X5,X1,X6)))
| ~ vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqsingle(vvalue(X5,X1,X6)),vMC(X2,X3)) ),
inference(ennf_transformation,[],[f361]) ).
tff(f378,plain,
! [X0: vQMap,X1: vAType,X2: vATMap,X3: vATMap,X4: vAnsMap,X5: vQID,X6: vExp] :
( ? [X7: vAnsMap,X8: vQMap,X9: vQuestionnaire] : ( vreduce(vqsingle(vvalue(X5,X1,X6)),X4,X0) = vsomeQConf(vQC(X7,X8,X9)) )
| vexpIsValue(X6)
| visValue(vqsingle(vvalue(X5,X1,X6)))
| ~ vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqsingle(vvalue(X5,X1,X6)),vMC(X2,X3)) ),
inference(flattening,[],[f377]) ).
tff(f379,plain,
! [X0: vQMap,X1: vAType,X2: vATMap,X3: vATMap,X4: vAnsMap,X5: vQID,X6: vExp] :
( ? [X7: vAnsMap,X8: vQMap,X9: vQuestionnaire] : ( vreduce(vqsingle(vvalue(X5,X1,X6)),X4,X0) = vsomeQConf(vQC(X7,X8,X9)) )
| ~ vexpIsValue(X6)
| visValue(vqsingle(vvalue(X5,X1,X6)))
| ~ vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqsingle(vvalue(X5,X1,X6)),vMC(X2,X3)) ),
inference(ennf_transformation,[],[f360]) ).
tff(f380,plain,
! [X0: vQMap,X1: vAType,X2: vATMap,X3: vATMap,X4: vAnsMap,X5: vQID,X6: vExp] :
( ? [X7: vAnsMap,X8: vQMap,X9: vQuestionnaire] : ( vreduce(vqsingle(vvalue(X5,X1,X6)),X4,X0) = vsomeQConf(vQC(X7,X8,X9)) )
| ~ vexpIsValue(X6)
| visValue(vqsingle(vvalue(X5,X1,X6)))
| ~ vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqsingle(vvalue(X5,X1,X6)),vMC(X2,X3)) ),
inference(flattening,[],[f379]) ).
tff(f381,plain,
( ! [X7: vAnsMap,X8: vQMap,X9: vQuestionnaire] : ( vsomeQConf(vQC(X7,X8,X9)) != vreduce(vqsingle(vvalue(sK5,sK1,sK6)),sK4,sK0) )
& ~ visValue(vqsingle(vvalue(sK5,sK1,sK6)))
& vptcheck(vMC(vtypeAM(sK4),vtypeQM(sK0)),vqsingle(vvalue(sK5,sK1,sK6)),vMC(sK2,sK3)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6)],[f365]) ).
tff(f385,plain,
! [X0: vQMap,X1: vAType,X2: vATMap,X3: vATMap,X4: vAnsMap,X5: vQID,X6: vExp] :
( ( vreduce(vqsingle(vvalue(X5,X1,X6)),X4,X0) = vsomeQConf(vQC(sK13(X0,X1,X4,X5,X6),sK14(X0,X1,X4,X5,X6),sK15(X0,X1,X4,X5,X6))) )
| vexpIsValue(X6)
| visValue(vqsingle(vvalue(X5,X1,X6)))
| ~ vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqsingle(vvalue(X5,X1,X6)),vMC(X2,X3)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15]),skolemize(X7,sK13(X0,X1,X4,X5,X6)),skolemize(X8,sK14(X0,X1,X4,X5,X6)),skolemize(X9,sK15(X0,X1,X4,X5,X6))],[f378]) ).
tff(f386,plain,
! [X0: vQMap,X1: vAType,X2: vATMap,X3: vATMap,X4: vAnsMap,X5: vQID,X6: vExp] :
( ( vreduce(vqsingle(vvalue(X5,X1,X6)),X4,X0) = vsomeQConf(vQC(sK16(X0,X1,X4,X5,X6),sK17(X0,X1,X4,X5,X6),sK18(X0,X1,X4,X5,X6))) )
| ~ vexpIsValue(X6)
| visValue(vqsingle(vvalue(X5,X1,X6)))
| ~ vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqsingle(vvalue(X5,X1,X6)),vMC(X2,X3)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17,sK18]),skolemize(X7,sK16(X0,X1,X4,X5,X6)),skolemize(X8,sK17(X0,X1,X4,X5,X6)),skolemize(X9,sK18(X0,X1,X4,X5,X6))],[f380]) ).
tff(f389,plain,
vptcheck(vMC(vtypeAM(sK4),vtypeQM(sK0)),vqsingle(vvalue(sK5,sK1,sK6)),vMC(sK2,sK3)),
inference(cnf_transformation,[],[f381]) ).
tff(f390,plain,
~ visValue(vqsingle(vvalue(sK5,sK1,sK6))),
inference(cnf_transformation,[],[f381]) ).
tff(f391,plain,
! [X8: vQMap,X9: vQuestionnaire,X7: vAnsMap] : ( vsomeQConf(vQC(X7,X8,X9)) != vreduce(vqsingle(vvalue(sK5,sK1,sK6)),sK4,sK0) ),
inference(cnf_transformation,[],[f381]) ).
tff(f406,plain,
! [X2: vATMap,X3: vAType,X0: vATMap,X1: vATMap,X6: vExp,X4: vATMap,X5: vQID] :
( ~ vptcheck(vMC(X1,X0),vqsingle(vvalue(X5,X3,X6)),vMC(X4,X2))
| ( X0 = X2 ) ),
inference(cnf_transformation,[],[f373]) ).
tff(f412,plain,
! [X2: vATMap,X3: vATMap,X0: vQMap,X1: vAType,X6: vExp,X4: vAnsMap,X5: vQID] :
( ( vreduce(vqsingle(vvalue(X5,X1,X6)),X4,X0) = vsomeQConf(vQC(sK13(X0,X1,X4,X5,X6),sK14(X0,X1,X4,X5,X6),sK15(X0,X1,X4,X5,X6))) )
| vexpIsValue(X6)
| visValue(vqsingle(vvalue(X5,X1,X6)))
| ~ vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqsingle(vvalue(X5,X1,X6)),vMC(X2,X3)) ),
inference(cnf_transformation,[],[f385]) ).
tff(f413,plain,
! [X2: vATMap,X3: vATMap,X0: vQMap,X1: vAType,X6: vExp,X4: vAnsMap,X5: vQID] :
( ( vreduce(vqsingle(vvalue(X5,X1,X6)),X4,X0) = vsomeQConf(vQC(sK16(X0,X1,X4,X5,X6),sK17(X0,X1,X4,X5,X6),sK18(X0,X1,X4,X5,X6))) )
| ~ vexpIsValue(X6)
| visValue(vqsingle(vvalue(X5,X1,X6)))
| ~ vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqsingle(vvalue(X5,X1,X6)),vMC(X2,X3)) ),
inference(cnf_transformation,[],[f386]) ).
tff(f426,definition,
~ sP26(vreduce(vqsingle(vvalue(sK5,sK1,sK6)),sK4,sK0)),
introduced(definition,[new_symbols(definition,[sP26])],[inequality_splitting_name_introduction]) ).
tff(f427,plain,
! [X8: vQMap,X9: vQuestionnaire,X7: vAnsMap] : sP26(vsomeQConf(vQC(X7,X8,X9))),
inference(inequality_splitting,[],[f391,f426]) ).
tff(f431,plain,
! [X0: vATMap,X1: vATMap] :
( ~ sP26(vsomeQConf(vQC(sK16(sK0,sK1,sK4,sK5,sK6),sK17(sK0,sK1,sK4,sK5,sK6),sK18(sK0,sK1,sK4,sK5,sK6))))
| ~ vexpIsValue(sK6)
| visValue(vqsingle(vvalue(sK5,sK1,sK6)))
| ~ vptcheck(vMC(vtypeAM(sK4),vtypeQM(sK0)),vqsingle(vvalue(sK5,sK1,sK6)),vMC(X0,X1)) ),
inference(superposition,[],[f426,f413]) ).
tff(f432,plain,
! [X0: vATMap,X1: vATMap] :
( ~ sP26(vsomeQConf(vQC(sK13(sK0,sK1,sK4,sK5,sK6),sK14(sK0,sK1,sK4,sK5,sK6),sK15(sK0,sK1,sK4,sK5,sK6))))
| vexpIsValue(sK6)
| visValue(vqsingle(vvalue(sK5,sK1,sK6)))
| ~ vptcheck(vMC(vtypeAM(sK4),vtypeQM(sK0)),vqsingle(vvalue(sK5,sK1,sK6)),vMC(X0,X1)) ),
inference(superposition,[],[f426,f412]) ).
tff(f433,plain,
! [X0: vATMap,X1: vATMap] :
( vexpIsValue(sK6)
| visValue(vqsingle(vvalue(sK5,sK1,sK6)))
| ~ vptcheck(vMC(vtypeAM(sK4),vtypeQM(sK0)),vqsingle(vvalue(sK5,sK1,sK6)),vMC(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f432,f427]) ).
tff(f434,plain,
! [X0: vATMap,X1: vATMap] :
( ~ vexpIsValue(sK6)
| visValue(vqsingle(vvalue(sK5,sK1,sK6)))
| ~ vptcheck(vMC(vtypeAM(sK4),vtypeQM(sK0)),vqsingle(vvalue(sK5,sK1,sK6)),vMC(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f431,f427]) ).
tff(f435,plain,
! [X0: vATMap,X1: vATMap] :
( vexpIsValue(sK6)
| ~ vptcheck(vMC(vtypeAM(sK4),vtypeQM(sK0)),vqsingle(vvalue(sK5,sK1,sK6)),vMC(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f433,f390]) ).
tff(f436,plain,
! [X0: vATMap,X1: vATMap] :
( ~ vexpIsValue(sK6)
| ~ vptcheck(vMC(vtypeAM(sK4),vtypeQM(sK0)),vqsingle(vvalue(sK5,sK1,sK6)),vMC(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f434,f390]) ).
tff(f438,definition,
( spl28_1
<=> ! [X0: vATMap,X1: vATMap] : ~ vptcheck(vMC(vtypeAM(sK4),vtypeQM(sK0)),vqsingle(vvalue(sK5,sK1,sK6)),vMC(X0,X1)) ),
introduced(definition,[new_symbols(definition,[spl28_1])],[avatar_definition]) ).
tff(f439,plain,
( ! [X0: vATMap,X1: vATMap] : ~ vptcheck(vMC(vtypeAM(sK4),vtypeQM(sK0)),vqsingle(vvalue(sK5,sK1,sK6)),vMC(X0,X1))
| ~ spl28_1 ),
inference(avatar_component_clause,[],[f438]) ).
tff(f441,definition,
( spl28_2
<=> vexpIsValue(sK6) ),
introduced(definition,[new_symbols(definition,[spl28_2])],[avatar_definition]) ).
tff(f444,plain,
( spl28_1
| spl28_2 ),
inference(avatar_split_clause,[],[f435,f441,f438]) ).
tff(f445,plain,
( spl28_1
| ~ spl28_2 ),
inference(avatar_split_clause,[],[f436,f441,f438]) ).
tff(f448,plain,
sK3 = vtypeQM(sK0),
inference(resolution,[],[f389,f406]) ).
tff(f449,plain,
vptcheck(vMC(vtypeAM(sK4),vtypeQM(sK0)),vqsingle(vvalue(sK5,sK1,sK6)),vMC(sK2,vtypeQM(sK0))),
inference(superposition,[],[f389,f448]) ).
tff(f450,plain,
( $false
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f449,f439]) ).
tff(f451,plain,
~ spl28_1,
inference(avatar_contradiction_clause,[],[f450]) ).
cnf(s1,plain,
( spl28_1
| spl28_2 ),
inference(sat_conversion,[],[f444]) ).
cnf(s2,plain,
( spl28_1
| ~ spl28_2 ),
inference(sat_conversion,[],[f445]) ).
cnf(s3,plain,
~ spl28_1,
inference(sat_conversion,[],[f451]) ).
cnf(s4,plain,
~ spl28_2,
inference(rat,[],[s2,s3]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s3]) ).
tff(f452,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM268_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n018.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 22:05:50 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.26 Running first-order theorem proving
% 0.08/0.26 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.17/1.08 % (3841293)Detected formulas, will run a generic FOF schedule.
% 2.17/1.08 % (3841362)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2303412:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.17/1.08 % (3841362)First to succeed.
% 2.17/1.08 % (3841362)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3841293"
% 2.17/1.08 % (3841358)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=74267385:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.17/1.08 % (3841366)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2294433020:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.17/1.08 % (3841359)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3827106370:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.17/1.08 % (3841368)dis-21_1_sil=8000:lcm=predicate:random_seed=1243805370:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.17/1.08 % (3841364)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=769826348:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.17/1.08 % (3841361)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1088472570:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.17/1.08 % (3841368)Also succeeded, but the first one will report.
% 2.17/1.08 % (3841364)Instruction limit reached!
% 2.17/1.08 % (3841364)------------------------------
% 2.17/1.08 % (3841364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.17/1.08 % (3841364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.17/1.08 % (3841364)CaDiCaL version: 2.1.3
% 2.17/1.08 % (3841364)Termination reason: Instruction limit
% 2.17/1.08 % (3841364)Termination phase: Saturation
% 2.17/1.08 % (3841364)Time elapsed: 0.076 s
% 2.17/1.08 % (3841364)Peak memory usage: 89 MB
% 2.17/1.08 % (3841364)Instructions burned: 119 (million)
% 2.17/1.08 % (3841366)Instruction limit reached!
% 2.17/1.08 % (3841366)------------------------------
% 2.17/1.08 % (3841366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.17/1.08 % (3841366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.17/1.08 % (3841366)CaDiCaL version: 2.1.3
% 2.17/1.08 % (3841366)Termination reason: Instruction limit
% 2.17/1.08 % (3841366)Termination phase: Saturation
% 2.17/1.08 % (3841366)Time elapsed: 0.094 s
% 2.17/1.08 % (3841366)Peak memory usage: 90 MB
% 2.17/1.08 % (3841366)Instructions burned: 139 (million)
% 2.17/1.08 % (3841362)Refutation found. Thanks to Tanya!
% 2.17/1.08 % SZS status Theorem for theBenchmark
% 2.17/1.08 % SZS output start Proof for theBenchmark
% See solution above
% 2.66/1.26 % (3841362)------------------------------
% 2.66/1.26 % (3841362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.26 % (3841362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.26 % (3841362)CaDiCaL version: 2.1.3
% 2.66/1.26 % (3841362)Termination reason: Refutation
% 2.66/1.26 % (3841362)Time elapsed: 0.004 s
% 2.66/1.26 % (3841362)Peak memory usage: 90 MB
% 2.66/1.26 % (3841362)Instructions burned: 8 (million)
% 2.66/1.26 % (3841362)------------------------------
% 2.66/1.26 % (3841362)------------------------------
% 2.66/1.26 % (3841293)Success in time 0.278 s
% 2.66/1.26 % Vampire exiting
%------------------------------------------------------------------------------