%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM264_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 4.27s 1.56s
% Output : Refutation 5.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 42 ( 10 unt; 0 typ; 3 def)
% Number of atoms : 103 ( 30 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 108 ( 47 ~; 44 |; 11 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 27 ( 26 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 27 ( 25 usr; 3 prp; 0-5 aty)
% Number of functors : 139 ( 139 usr; 39 con; 0-4 aty)
% Number of variables : 143 ( 0 sgn 103 !; 40 ?; 143 :)
% 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,
vq1: vQuestionnaire ).
tff(func_def_54,type,
vqgroup: ( vGID * vQuestionnaire ) > vQuestionnaire ).
tff(func_def_55,type,
vatmempty: vATMap ).
tff(func_def_56,type,
vno: vYN ).
tff(func_def_57,type,
vvalue: ( vQID * vAType * vExp ) > vEntry ).
tff(func_def_58,type,
vq2: vQuestionnaire ).
tff(func_def_59,type,
vgetAnswer: ( vLabel * vAType ) > vAval ).
tff(func_def_60,type,
vecheck: ( vATMap * vExp ) > vOptAType ).
tff(func_def_61,type,
vgetAM: vQConf > vAnsMap ).
tff(func_def_62,type,
venumGID: vGID > vGID ).
tff(func_def_63,type,
vaskText: vLabel > vstring ).
tff(func_def_64,type,
vminus: ( vnat * vnat ) > vnat ).
tff(func_def_65,type,
vtypeOf: vAval > vAType ).
tff(func_def_66,type,
vevalBinOp: ( vBinOpT * vAval * vAval ) > vOptExp ).
tff(func_def_67,type,
vgetQM: vQConf > vQMap ).
tff(func_def_68,type,
vinitQID: vQID ).
tff(func_def_69,type,
vplus: ( vnat * vnat ) > vnat ).
tff(func_def_70,type,
vaskYesNo: vLabel > vYN ).
tff(func_def_71,type,
vtypeAM: vAnsMap > vATMap ).
tff(func_def_72,type,
vlookupQMap: ( vQID * vQMap ) > vOptQuestion ).
tff(func_def_73,type,
vaskNumber: vLabel > vnat ).
tff(func_def_74,type,
vinitLabel: vLabel ).
tff(func_def_75,type,
vdivide: ( vnat * vnat ) > vnat ).
tff(func_def_76,type,
vappendATMap: ( vATMap * vATMap ) > vATMap ).
tff(func_def_77,type,
vor: ( vYN * vYN ) > vYN ).
tff(func_def_78,type,
vpred: vnat > vnat ).
tff(func_def_79,type,
vlookupATMap: ( vQID * vATMap ) > vOptAType ).
tff(func_def_80,type,
vqcappend: ( vQConf * vQuestionnaire ) > vQConf ).
tff(func_def_81,type,
venumchar: vchar > vchar ).
tff(func_def_82,type,
vinitchar: vchar ).
tff(func_def_83,type,
vgetQuest: vQConf > vQuestionnaire ).
tff(func_def_84,type,
vevalUnOp: ( vUnOpT * vAval ) > vOptExp ).
tff(func_def_85,type,
vcheckBinOp: ( vBinOpT * vAType * vAType ) > vOptAType ).
tff(func_def_86,type,
vnot: vYN > vYN ).
tff(func_def_87,type,
vreduce: ( vQuestionnaire * vAnsMap * vQMap ) > vOptQConf ).
tff(func_def_88,type,
vmultiply: ( vnat * vnat ) > vnat ).
tff(func_def_89,type,
vappendAnsMap: ( vAnsMap * vAnsMap ) > vAnsMap ).
tff(func_def_90,type,
vcheckUnOp: ( vUnOpT * vAType ) > vOptAType ).
tff(func_def_91,type,
vtypeQM: vQMap > vATMap ).
tff(func_def_92,type,
vintersectATM: ( vATMap * vATMap ) > vATMap ).
tff(func_def_93,type,
venumLabel: vLabel > vLabel ).
tff(func_def_94,type,
vinitGID: vGID ).
tff(func_def_95,type,
vlt: ( vnat * vnat ) > vYN ).
tff(func_def_96,type,
vgt: ( vnat * vnat ) > vYN ).
tff(func_def_97,type,
vlookupAnsMap: ( vQID * vAnsMap ) > vOptAval ).
tff(func_def_98,type,
vreduceExp: ( vExp * vAnsMap ) > vOptExp ).
tff(func_def_99,type,
venumQID: vQID > vQID ).
tff(func_def_100,type,
vand: ( vYN * vYN ) > vYN ).
tff(func_def_101,type,
vappend: ( vATList * vATList ) > vATList ).
tff(func_def_102,type,
vgetQuestionQID: vOptQuestion > vQID ).
tff(func_def_103,type,
vgetMapConf: vOptMapConf > vMapConf ).
tff(func_def_104,type,
vgetQuestionLabel: vOptQuestion > vLabel ).
tff(func_def_105,type,
vgetAType: vOptAType > vAType ).
tff(func_def_106,type,
vgetQuestionAType: vOptQuestion > vAType ).
tff(func_def_107,type,
vgetQC: vOptQConf > vQConf ).
tff(func_def_108,type,
vgetExpValue: vExp > vAval ).
tff(func_def_109,type,
vgetAval: vOptAval > vAval ).
tff(func_def_110,type,
vgetExp: vOptExp > vExp ).
tff(func_def_111,type,
sK0: vQMap ).
tff(func_def_112,type,
sK1: vATMap ).
tff(func_def_113,type,
sK2: vATMap ).
tff(func_def_114,type,
sK3: vExp ).
tff(func_def_115,type,
sK4: vAnsMap ).
tff(func_def_116,type,
sK5: vQuestionnaire > vQuestionnaire ).
tff(func_def_117,type,
sK6: ( vATMap * vATMap * vQuestionnaire ) > vATMap ).
tff(func_def_118,type,
sK7: ( vATMap * vATMap * vQuestionnaire ) > vATMap ).
tff(func_def_119,type,
sK8: ( vATMap * vQuestionnaire * vATMap ) > vATMap ).
tff(func_def_120,type,
sK9: ( vATMap * vQuestionnaire * vATMap ) > vATMap ).
tff(func_def_121,type,
sK10: vQConf > vAnsMap ).
tff(func_def_122,type,
sK11: vQConf > vQMap ).
tff(func_def_123,type,
sK12: vQConf > vQuestionnaire ).
tff(func_def_124,type,
sK13: vMapConf > vATMap ).
tff(func_def_125,type,
sK14: vMapConf > vATMap ).
tff(func_def_126,type,
sK15: ( vQMap * vExp * vAnsMap ) > vAnsMap ).
tff(func_def_127,type,
sK16: ( vQMap * vExp * vAnsMap ) > vQMap ).
tff(func_def_128,type,
sK17: ( vQMap * vExp * vAnsMap ) > vQuestionnaire ).
tff(func_def_129,type,
sK18: vExp > vAval ).
tff(func_def_130,type,
sK19: ( vQMap * vAval * vAnsMap ) > vAnsMap ).
tff(func_def_131,type,
sK20: ( vQMap * vAval * vAnsMap ) > vQMap ).
tff(func_def_132,type,
sK21: ( vQMap * vAval * vAnsMap ) > vQuestionnaire ).
tff(func_def_133,type,
sK22: ( vAnsMap * vQMap ) > vAnsMap ).
tff(func_def_134,type,
sK23: ( vAnsMap * vQMap ) > vQMap ).
tff(func_def_135,type,
sK24: ( vAnsMap * vQMap ) > vQuestionnaire ).
tff(func_def_136,type,
sK25: ( vAnsMap * vQMap ) > vAnsMap ).
tff(func_def_137,type,
sK26: ( vAnsMap * vQMap ) > vQMap ).
tff(func_def_138,type,
sK27: ( vAnsMap * vQMap ) > vQuestionnaire ).
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,
sP28: vOptQConf > $o ).
tff(pred_def_11,type,
sP29: vQuestionnaire > $o ).
tff(pred_def_12,type,
sP30: ( vATMap * vATMap * vATMap * vQuestionnaire * vQuestionnaire ) > $o ).
tff(pred_def_13,type,
sP31: ( vATMap * vQuestionnaire * vATMap * vATMap * vQuestionnaire ) > $o ).
tff(pred_def_14,type,
sP32: ( vATMap * vATMap * vQuestionnaire * vQuestionnaire * vATMap ) > $o ).
tff(pred_def_15,type,
sP33: ( vATMap * vATMap * vQuestionnaire * vATMap * vQuestionnaire ) > $o ).
tff(pred_def_16,type,
sP34: ( vATMap * vQuestionnaire * vATMap * vATMap ) > $o ).
tff(pred_def_17,type,
sP35: ( vQuestionnaire * vATMap * vATMap * vATMap ) > $o ).
tff(pred_def_18,type,
sP36: ( vQuestionnaire * vATMap * vATMap * vATMap ) > $o ).
tff(pred_def_19,type,
sP37: ( vQuestionnaire * vATMap * vATMap * vQuestionnaire ) > $o ).
tff(pred_def_20,type,
sP38: ( vQuestionnaire * vATMap * vATMap * vATMap ) > $o ).
tff(pred_def_21,type,
sP39: ( vQuestionnaire * vATMap * vATMap * vATMap ) > $o ).
tff(pred_def_22,type,
sP40: ( vQuestionnaire * vATMap * vATMap * vATMap ) > $o ).
tff(pred_def_23,type,
sP41: ( vQuestionnaire * vATMap * vATMap * vQuestionnaire ) > $o ).
tff(f362,axiom,
! [X0: vQMap,X1: vATMap,X2: vATMap,X3: vAval,X4: vAnsMap] :
( ( ~ visValue(vqcond(vconstant(X3),vq1,vq2))
& vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqcond(vconstant(X3),vq1,vq2),vMC(X1,X2)) )
=> ? [X5: vAnsMap,X6: vQMap,X7: vQuestionnaire] : ( vreduce(vqcond(vconstant(X3),vq1,vq2),X4,X0) = vsomeQConf(vQC(X5,X6,X7)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Progress-qcond-constant') ).
tff(f363,axiom,
! [X0: vQMap,X1: vATMap,X2: vATMap,X3: vExp,X4: vAnsMap] :
( ( ! [X5: vAval] : ( X3 != vconstant(X5) )
& ~ visValue(vqcond(X3,vq1,vq2))
& vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqcond(X3,vq1,vq2),vMC(X1,X2)) )
=> ? [X6: vAnsMap,X7: vQMap,X8: vQuestionnaire] : ( vreduce(vqcond(X3,vq1,vq2),X4,X0) = vsomeQConf(vQC(X6,X7,X8)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Progress-qcond-e') ).
tff(f364,conjecture,
! [X0: vQMap,X1: vATMap,X2: vATMap,X3: vExp,X4: vAnsMap] :
( ( ~ visValue(vqcond(X3,vq1,vq2))
& vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqcond(X3,vq1,vq2),vMC(X1,X2)) )
=> ? [X5: vAnsMap,X6: vQMap,X7: vQuestionnaire] : ( vreduce(vqcond(X3,vq1,vq2),X4,X0) = vsomeQConf(vQC(X5,X6,X7)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Progress-qcond') ).
tff(f365,negated_conjecture,
~ ! [X0: vQMap,X1: vATMap,X2: vATMap,X3: vExp,X4: vAnsMap] :
( ( ~ visValue(vqcond(X3,vq1,vq2))
& vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqcond(X3,vq1,vq2),vMC(X1,X2)) )
=> ? [X5: vAnsMap,X6: vQMap,X7: vQuestionnaire] : ( vreduce(vqcond(X3,vq1,vq2),X4,X0) = vsomeQConf(vQC(X5,X6,X7)) ) ),
inference(negated_conjecture,[status(cth)],[f364]) ).
tff(f366,plain,
? [X0: vQMap,X1: vATMap,X2: vATMap,X3: vExp,X4: vAnsMap] :
( ! [X5: vAnsMap,X6: vQMap,X7: vQuestionnaire] : ( vsomeQConf(vQC(X5,X6,X7)) != vreduce(vqcond(X3,vq1,vq2),X4,X0) )
& ~ visValue(vqcond(X3,vq1,vq2))
& vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqcond(X3,vq1,vq2),vMC(X1,X2)) ),
inference(ennf_transformation,[],[f365]) ).
tff(f367,plain,
? [X0: vQMap,X1: vATMap,X2: vATMap,X3: vExp,X4: vAnsMap] :
( ! [X5: vAnsMap,X6: vQMap,X7: vQuestionnaire] : ( vsomeQConf(vQC(X5,X6,X7)) != vreduce(vqcond(X3,vq1,vq2),X4,X0) )
& ~ visValue(vqcond(X3,vq1,vq2))
& vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqcond(X3,vq1,vq2),vMC(X1,X2)) ),
inference(flattening,[],[f366]) ).
tff(f385,plain,
! [X0: vQMap,X1: vATMap,X2: vATMap,X3: vExp,X4: vAnsMap] :
( ? [X6: vAnsMap,X7: vQMap,X8: vQuestionnaire] : ( vreduce(vqcond(X3,vq1,vq2),X4,X0) = vsomeQConf(vQC(X6,X7,X8)) )
| ? [X5: vAval] : ( vconstant(X5) = X3 )
| visValue(vqcond(X3,vq1,vq2))
| ~ vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqcond(X3,vq1,vq2),vMC(X1,X2)) ),
inference(ennf_transformation,[],[f363]) ).
tff(f386,plain,
! [X0: vQMap,X1: vATMap,X2: vATMap,X3: vExp,X4: vAnsMap] :
( ? [X6: vAnsMap,X7: vQMap,X8: vQuestionnaire] : ( vreduce(vqcond(X3,vq1,vq2),X4,X0) = vsomeQConf(vQC(X6,X7,X8)) )
| ? [X5: vAval] : ( vconstant(X5) = X3 )
| visValue(vqcond(X3,vq1,vq2))
| ~ vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqcond(X3,vq1,vq2),vMC(X1,X2)) ),
inference(flattening,[],[f385]) ).
tff(f387,plain,
! [X0: vQMap,X1: vATMap,X2: vATMap,X3: vAval,X4: vAnsMap] :
( ? [X5: vAnsMap,X6: vQMap,X7: vQuestionnaire] : ( vreduce(vqcond(vconstant(X3),vq1,vq2),X4,X0) = vsomeQConf(vQC(X5,X6,X7)) )
| visValue(vqcond(vconstant(X3),vq1,vq2))
| ~ vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqcond(vconstant(X3),vq1,vq2),vMC(X1,X2)) ),
inference(ennf_transformation,[],[f362]) ).
tff(f388,plain,
! [X0: vQMap,X1: vATMap,X2: vATMap,X3: vAval,X4: vAnsMap] :
( ? [X5: vAnsMap,X6: vQMap,X7: vQuestionnaire] : ( vreduce(vqcond(vconstant(X3),vq1,vq2),X4,X0) = vsomeQConf(vQC(X5,X6,X7)) )
| visValue(vqcond(vconstant(X3),vq1,vq2))
| ~ vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqcond(vconstant(X3),vq1,vq2),vMC(X1,X2)) ),
inference(flattening,[],[f387]) ).
tff(f393,plain,
( ! [X5: vAnsMap,X6: vQMap,X7: vQuestionnaire] : ( vsomeQConf(vQC(X5,X6,X7)) != vreduce(vqcond(sK3,vq1,vq2),sK4,sK0) )
& ~ visValue(vqcond(sK3,vq1,vq2))
& vptcheck(vMC(vtypeAM(sK4),vtypeQM(sK0)),vqcond(sK3,vq1,vq2),vMC(sK1,sK2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f367]) ).
tff(f399,plain,
! [X0: vQMap,X1: vATMap,X2: vATMap,X3: vExp,X4: vAnsMap] :
( ? [X5: vAnsMap,X6: vQMap,X7: vQuestionnaire] : ( vsomeQConf(vQC(X5,X6,X7)) = vreduce(vqcond(X3,vq1,vq2),X4,X0) )
| ? [X8: vAval] : ( vconstant(X8) = X3 )
| visValue(vqcond(X3,vq1,vq2))
| ~ vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqcond(X3,vq1,vq2),vMC(X1,X2)) ),
inference(rectify,[],[f386]) ).
tff(f400,plain,
! [X0: vQMap,X1: vATMap,X2: vATMap,X3: vExp,X4: vAnsMap] :
( ( vreduce(vqcond(X3,vq1,vq2),X4,X0) = vsomeQConf(vQC(sK15(X0,X3,X4),sK16(X0,X3,X4),sK17(X0,X3,X4))) )
| ( vconstant(sK18(X3)) = X3 )
| visValue(vqcond(X3,vq1,vq2))
| ~ vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqcond(X3,vq1,vq2),vMC(X1,X2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18]),skolemize(X5,sK15(X0,X3,X4)),skolemize(X6,sK16(X0,X3,X4)),skolemize(X7,sK17(X0,X3,X4)),skolemize(X8,sK18(X3))],[f399]) ).
tff(f401,plain,
! [X0: vQMap,X1: vATMap,X2: vATMap,X3: vAval,X4: vAnsMap] :
( ( vreduce(vqcond(vconstant(X3),vq1,vq2),X4,X0) = vsomeQConf(vQC(sK19(X0,X3,X4),sK20(X0,X3,X4),sK21(X0,X3,X4))) )
| visValue(vqcond(vconstant(X3),vq1,vq2))
| ~ vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqcond(vconstant(X3),vq1,vq2),vMC(X1,X2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20,sK21]),skolemize(X5,sK19(X0,X3,X4)),skolemize(X6,sK20(X0,X3,X4)),skolemize(X7,sK21(X0,X3,X4))],[f388]) ).
tff(f404,plain,
vptcheck(vMC(vtypeAM(sK4),vtypeQM(sK0)),vqcond(sK3,vq1,vq2),vMC(sK1,sK2)),
inference(cnf_transformation,[],[f393]) ).
tff(f405,plain,
~ visValue(vqcond(sK3,vq1,vq2)),
inference(cnf_transformation,[],[f393]) ).
tff(f406,plain,
! [X6: vQMap,X7: vQuestionnaire,X5: vAnsMap] : ( vsomeQConf(vQC(X5,X6,X7)) != vreduce(vqcond(sK3,vq1,vq2),sK4,sK0) ),
inference(cnf_transformation,[],[f393]) ).
tff(f431,plain,
! [X2: vATMap,X3: vExp,X0: vQMap,X1: vATMap,X4: vAnsMap] :
( ( vreduce(vqcond(X3,vq1,vq2),X4,X0) = vsomeQConf(vQC(sK15(X0,X3,X4),sK16(X0,X3,X4),sK17(X0,X3,X4))) )
| ( vconstant(sK18(X3)) = X3 )
| visValue(vqcond(X3,vq1,vq2))
| ~ vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqcond(X3,vq1,vq2),vMC(X1,X2)) ),
inference(cnf_transformation,[],[f400]) ).
tff(f432,plain,
! [X2: vATMap,X3: vAval,X0: vQMap,X1: vATMap,X4: vAnsMap] :
( ( vreduce(vqcond(vconstant(X3),vq1,vq2),X4,X0) = vsomeQConf(vQC(sK19(X0,X3,X4),sK20(X0,X3,X4),sK21(X0,X3,X4))) )
| visValue(vqcond(vconstant(X3),vq1,vq2))
| ~ vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqcond(vconstant(X3),vq1,vq2),vMC(X1,X2)) ),
inference(cnf_transformation,[],[f401]) ).
tff(f437,definition,
~ sP28(vreduce(vqcond(sK3,vq1,vq2),sK4,sK0)),
introduced(definition,[new_symbols(definition,[sP28])],[inequality_splitting_name_introduction]) ).
tff(f438,plain,
! [X6: vQMap,X7: vQuestionnaire,X5: vAnsMap] : sP28(vsomeQConf(vQC(X5,X6,X7))),
inference(inequality_splitting,[],[f406,f437]) ).
tff(f466,plain,
! [X0: vATMap,X1: vATMap] :
( ~ sP28(vsomeQConf(vQC(sK15(sK0,sK3,sK4),sK16(sK0,sK3,sK4),sK17(sK0,sK3,sK4))))
| ( sK3 = vconstant(sK18(sK3)) )
| visValue(vqcond(sK3,vq1,vq2))
| ~ vptcheck(vMC(vtypeAM(sK4),vtypeQM(sK0)),vqcond(sK3,vq1,vq2),vMC(X0,X1)) ),
inference(superposition,[],[f437,f431]) ).
tff(f467,plain,
! [X0: vATMap,X1: vATMap] :
( ( sK3 = vconstant(sK18(sK3)) )
| visValue(vqcond(sK3,vq1,vq2))
| ~ vptcheck(vMC(vtypeAM(sK4),vtypeQM(sK0)),vqcond(sK3,vq1,vq2),vMC(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f466,f438]) ).
tff(f468,plain,
! [X0: vATMap,X1: vATMap] :
( ( sK3 = vconstant(sK18(sK3)) )
| ~ vptcheck(vMC(vtypeAM(sK4),vtypeQM(sK0)),vqcond(sK3,vq1,vq2),vMC(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f467,f405]) ).
tff(f470,definition,
( spl42_1
<=> ! [X0: vATMap,X1: vATMap] : ~ vptcheck(vMC(vtypeAM(sK4),vtypeQM(sK0)),vqcond(sK3,vq1,vq2),vMC(X0,X1)) ),
introduced(definition,[new_symbols(definition,[spl42_1])],[avatar_definition]) ).
tff(f471,plain,
( ! [X0: vATMap,X1: vATMap] : ~ vptcheck(vMC(vtypeAM(sK4),vtypeQM(sK0)),vqcond(sK3,vq1,vq2),vMC(X0,X1))
| ~ spl42_1 ),
inference(avatar_component_clause,[],[f470]) ).
tff(f473,definition,
( spl42_2
<=> ( sK3 = vconstant(sK18(sK3)) ) ),
introduced(definition,[new_symbols(definition,[spl42_2])],[avatar_definition]) ).
tff(f475,plain,
( ( sK3 = vconstant(sK18(sK3)) )
| ~ spl42_2 ),
inference(avatar_component_clause,[],[f473]) ).
tff(f476,plain,
( spl42_1
| spl42_2 ),
inference(avatar_split_clause,[],[f468,f473,f470]) ).
tff(f477,plain,
( ! [X2: vATMap,X3: vATMap,X0: vAnsMap,X1: vQMap] :
( ( vsomeQConf(vQC(sK19(X1,sK18(sK3),X0),sK20(X1,sK18(sK3),X0),sK21(X1,sK18(sK3),X0))) = vreduce(vqcond(sK3,vq1,vq2),X0,X1) )
| visValue(vqcond(sK3,vq1,vq2))
| ~ vptcheck(vMC(vtypeAM(X0),vtypeQM(X1)),vqcond(sK3,vq1,vq2),vMC(X2,X3)) )
| ~ spl42_2 ),
inference(superposition,[],[f432,f475]) ).
tff(f478,plain,
( ! [X2: vATMap,X3: vATMap,X0: vAnsMap,X1: vQMap] :
( ( vsomeQConf(vQC(sK19(X1,sK18(sK3),X0),sK20(X1,sK18(sK3),X0),sK21(X1,sK18(sK3),X0))) = vreduce(vqcond(sK3,vq1,vq2),X0,X1) )
| ~ vptcheck(vMC(vtypeAM(X0),vtypeQM(X1)),vqcond(sK3,vq1,vq2),vMC(X2,X3)) )
| ~ spl42_2 ),
inference(forward_subsumption_resolution,[],[f477,f405]) ).
tff(f496,plain,
( ! [X0: vATMap,X1: vATMap] :
( ~ sP28(vsomeQConf(vQC(sK19(sK0,sK18(sK3),sK4),sK20(sK0,sK18(sK3),sK4),sK21(sK0,sK18(sK3),sK4))))
| ~ vptcheck(vMC(vtypeAM(sK4),vtypeQM(sK0)),vqcond(sK3,vq1,vq2),vMC(X0,X1)) )
| ~ spl42_2 ),
inference(superposition,[],[f437,f478]) ).
tff(f498,plain,
( ! [X0: vATMap,X1: vATMap] : ~ vptcheck(vMC(vtypeAM(sK4),vtypeQM(sK0)),vqcond(sK3,vq1,vq2),vMC(X0,X1))
| ~ spl42_2 ),
inference(forward_subsumption_resolution,[],[f496,f438]) ).
tff(f499,plain,
( spl42_1
| ~ spl42_2 ),
inference(avatar_split_clause,[],[f498,f473,f470]) ).
tff(f500,plain,
( $false
| ~ spl42_1 ),
inference(resolution,[],[f471,f404]) ).
tff(f504,plain,
~ spl42_1,
inference(avatar_contradiction_clause,[],[f500]) ).
cnf(s1,plain,
( spl42_1
| spl42_2 ),
inference(sat_conversion,[],[f476]) ).
cnf(s2,plain,
( spl42_1
| ~ spl42_2 ),
inference(sat_conversion,[],[f499]) ).
cnf(s3,plain,
~ spl42_1,
inference(sat_conversion,[],[f504]) ).
cnf(s4,plain,
~ spl42_2,
inference(rat,[],[s2,s3]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s3]) ).
tff(f505,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM264_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.19 % Computer : n015.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Mon Sep 28 22:06:57 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.23 Running first-order theorem proving
% 0.11/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.27/1.56 % (3080552)Detected formulas, will run a generic FOF schedule.
% 4.27/1.56 % (3080595)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=269060787:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.27/1.56 % (3080598)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1369456188:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.27/1.56 % (3080598)First to succeed.
% 4.27/1.56 % (3080598)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3080552"
% 4.27/1.56 % (3080600)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3937256018:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.27/1.56 % (3080599)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2957158669:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.27/1.56 % (3080596)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=402488696:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.27/1.56 % (3080601)dis-21_1_sil=8000:lcm=predicate:random_seed=1992135674: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)
% 4.27/1.56 % (3080597)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=3904272843:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.27/1.56 % (3080599)Instruction limit reached!
% 4.27/1.56 % (3080599)------------------------------
% 4.27/1.56 % (3080599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.56 % (3080599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.56 % (3080599)CaDiCaL version: 2.1.3
% 4.27/1.56 % (3080599)Termination reason: Instruction limit
% 4.27/1.56 % (3080599)Termination phase: Saturation
% 4.27/1.56 % (3080599)Time elapsed: 0.125 s
% 4.27/1.56 % (3080599)Peak memory usage: 89 MB
% 4.27/1.56 % (3080599)Instructions burned: 119 (million)
% 4.27/1.56 % (3080601)Instruction limit reached!
% 4.27/1.56 % (3080601)------------------------------
% 4.27/1.56 % (3080601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.56 % (3080601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.56 % (3080601)CaDiCaL version: 2.1.3
% 4.27/1.56 % (3080601)Termination reason: Instruction limit
% 4.27/1.56 % (3080601)Termination phase: Saturation
% 4.27/1.56 % (3080601)Time elapsed: 0.122 s
% 4.27/1.56 % (3080601)Peak memory usage: 91 MB
% 4.27/1.56 % (3080601)Instructions burned: 129 (million)
% 4.27/1.56 % (3080600)Instruction limit reached!
% 4.27/1.56 % (3080600)------------------------------
% 4.27/1.56 % (3080600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.56 % (3080600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.56 % (3080600)CaDiCaL version: 2.1.3
% 4.27/1.56 % (3080600)Termination reason: Instruction limit
% 4.27/1.56 % (3080600)Termination phase: Saturation
% 4.27/1.56 % (3080600)Time elapsed: 0.148 s
% 4.27/1.56 % (3080600)Peak memory usage: 90 MB
% 4.27/1.56 % (3080600)Instructions burned: 139 (million)
% 4.27/1.56 % (3080614)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4172263418:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 4.27/1.56 % (3080598)Refutation found. Thanks to Tanya!
% 4.27/1.56 % SZS status Theorem for theBenchmark
% 4.27/1.56 % SZS output start Proof for theBenchmark
% See solution above
% 5.49/1.86 % (3080598)------------------------------
% 5.49/1.86 % (3080598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.49/1.86 % (3080598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.86 % (3080598)CaDiCaL version: 2.1.3
% 5.49/1.86 % (3080598)Termination reason: Refutation
% 5.49/1.86 % (3080598)Time elapsed: 0.011 s
% 5.49/1.86 % (3080598)Peak memory usage: 90 MB
% 5.49/1.86 % (3080598)Instructions burned: 12 (million)
% 5.49/1.86 % (3080598)------------------------------
% 5.49/1.86 % (3080598)------------------------------
% 5.49/1.86 % (3080552)Success in time 0.661 s
% 5.49/1.86 % Vampire exiting
%------------------------------------------------------------------------------