%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM271_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 : n026.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 09:39:57 AM UTC 2026
% Result : Theorem 1.75s 0.78s
% Output : Refutation 2.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 28 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 109 ( 66 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 134 ( 53 ~; 51 |; 26 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 27 ( 26 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 141 ( 141 usr; 38 con; 0-4 aty)
% Number of variables : 73 ( 65 !; 8 ?; 73 :)
% 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,
ve1: vExp ).
tff(func_def_13,type,
vT: vstring > vAval ).
tff(func_def_14,type,
vNumber: vAType ).
tff(func_def_15,type,
vdivop: vBinOpT ).
tff(func_def_16,type,
vzero: vnat ).
tff(func_def_17,type,
vsucc: vnat > vnat ).
tff(func_def_18,type,
vabind: ( vQID * vAval * vAnsMap ) > vAnsMap ).
tff(func_def_19,type,
vnoAval: vOptAval ).
tff(func_def_20,type,
vYesNo: vAType ).
tff(func_def_21,type,
vdefquestion: ( vQID * vLabel * vAType ) > vEntry ).
tff(func_def_22,type,
vunop: ( vUnOpT * vExp ) > vExp ).
tff(func_def_23,type,
vaempty: vAnsMap ).
tff(func_def_24,type,
vatempty: vATList ).
tff(func_def_25,type,
vscons: ( vchar * vstring ) > vstring ).
tff(func_def_26,type,
vqseq: ( vQuestionnaire * vQuestionnaire ) > vQuestionnaire ).
tff(func_def_27,type,
vmulop: vBinOpT ).
tff(func_def_28,type,
vqempty: vQuestionnaire ).
tff(func_def_29,type,
vsomeQConf: vQConf > vOptQConf ).
tff(func_def_30,type,
vnoQConf: vOptQConf ).
tff(func_def_31,type,
vnoExp: vOptExp ).
tff(func_def_32,type,
vbinop: ( vExp * vBinOpT * vExp ) > vExp ).
tff(func_def_33,type,
vB: vYN > vAval ).
tff(func_def_34,type,
vQC: ( vAnsMap * vQMap * vQuestionnaire ) > vQConf ).
tff(func_def_35,type,
vorop: vBinOpT ).
tff(func_def_36,type,
veqop: vBinOpT ).
tff(func_def_37,type,
vatcons: ( vAType * vATList ) > vATList ).
tff(func_def_38,type,
vText: vAType ).
tff(func_def_39,type,
vsomeAval: vAval > vOptAval ).
tff(func_def_40,type,
vqsingle: vEntry > vQuestionnaire ).
tff(func_def_41,type,
vMC: ( vATMap * vATMap ) > vMapConf ).
tff(func_def_42,type,
vaddop: vBinOpT ).
tff(func_def_43,type,
vsomeQuestion: ( vQID * vLabel * vAType ) > vOptQuestion ).
tff(func_def_44,type,
vltop: vBinOpT ).
tff(func_def_45,type,
vqvar: vQID > vExp ).
tff(func_def_46,type,
vnoMapConf: vOptMapConf ).
tff(func_def_47,type,
vatmbind: ( vQID * vAType * vATMap ) > vATMap ).
tff(func_def_48,type,
vgtop: vBinOpT ).
tff(func_def_49,type,
vsempty: vstring ).
tff(func_def_50,type,
vqmbind: ( vQID * vLabel * vAType * vQMap ) > vQMap ).
tff(func_def_51,type,
vask: vQID > vEntry ).
tff(func_def_52,type,
vsomeAType: vAType > vOptAType ).
tff(func_def_53,type,
ve2: vExp ).
tff(func_def_54,type,
vnoQuestion: vOptQuestion ).
tff(func_def_55,type,
vqgroup: ( vGID * vQuestionnaire ) > vQuestionnaire ).
tff(func_def_56,type,
vatmempty: vATMap ).
tff(func_def_57,type,
vno: vYN ).
tff(func_def_58,type,
vvalue: ( vQID * vAType * vExp ) > vEntry ).
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,
sK2: vAnsMap ).
tff(func_def_112,type,
sK3: vBinOpT ).
tff(func_def_113,type,
sK4: vAType ).
tff(func_def_114,type,
sK5: vExp ).
tff(func_def_115,type,
sK6: vExp > vExp ).
tff(func_def_116,type,
sK7: vExp > vAval ).
tff(func_def_117,type,
sK8: vExp > vAval ).
tff(func_def_118,type,
sK9: vOptExp > vExp ).
tff(func_def_119,type,
sK10: ( vATMap * vATMap * vQuestionnaire ) > vATMap ).
tff(func_def_120,type,
sK11: ( vATMap * vATMap * vQuestionnaire ) > vATMap ).
tff(func_def_121,type,
sK12: ( vATMap * vQuestionnaire * vATMap ) > vATMap ).
tff(func_def_122,type,
sK13: ( vATMap * vQuestionnaire * vATMap ) > vATMap ).
tff(func_def_123,type,
sK14: vMapConf > vATMap ).
tff(func_def_124,type,
sK15: vMapConf > vATMap ).
tff(func_def_125,type,
sK16: vAnsMap > vQID ).
tff(func_def_126,type,
sK17: vAnsMap > vAval ).
tff(func_def_127,type,
sK18: vAnsMap > vAnsMap ).
tff(func_def_128,type,
sK19: ( vQID * vATMap ) > vQID ).
tff(func_def_129,type,
sK20: ( vQID * vATMap ) > vAType ).
tff(func_def_130,type,
sK21: ( vQID * vATMap ) > vATMap ).
tff(func_def_131,type,
sK22: ( vQID * vATMap ) > vQID ).
tff(func_def_132,type,
sK23: ( vQID * vATMap ) > vQID ).
tff(func_def_133,type,
sK24: ( vQID * vATMap ) > vAType ).
tff(func_def_134,type,
sK25: ( vQID * vATMap ) > vATMap ).
tff(func_def_135,type,
sK26: ( vQID * vATMap ) > vQID ).
tff(func_def_136,type,
sK27: ( vQID * vATMap ) > vQID ).
tff(func_def_137,type,
sK28: vATMap > vQID ).
tff(func_def_138,type,
sK29: vATMap > vAType ).
tff(func_def_139,type,
sK30: vATMap > vATMap ).
tff(func_def_140,type,
sK31: vOptAType > vAType ).
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,
sP0: ( vQID * vATMap ) > $o ).
tff(pred_def_11,type,
sP1: ( vQID * vATMap ) > $o ).
tff(f362,axiom,
! [X0: vAnsMap,X1: vBinOpT,X2: vAType,X3: vExp] :
( ( visSomeExp(vreduceExp(ve2,X0))
& ~ vexpIsValue(ve2)
& vexpIsValue(ve1)
& ( vecheck(vtypeAM(X0),vbinop(ve1,X1,ve2)) = vsomeAType(X2) )
& ( vreduceExp(vbinop(ve1,X1,ve2),X0) = vsomeExp(X3) ) )
=> ( vecheck(vtypeAM(X0),X3) = vsomeAType(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduceExpPreservation-binop-expIsValue-True-expIsValue-False-isSomeExp-True') ).
tff(f363,axiom,
! [X0: vAnsMap,X1: vBinOpT,X2: vAType,X3: vExp] :
( ( ~ visSomeExp(vreduceExp(ve2,X0))
& ~ vexpIsValue(ve2)
& vexpIsValue(ve1)
& ( vecheck(vtypeAM(X0),vbinop(ve1,X1,ve2)) = vsomeAType(X2) )
& ( vreduceExp(vbinop(ve1,X1,ve2),X0) = vsomeExp(X3) ) )
=> ( vecheck(vtypeAM(X0),X3) = vsomeAType(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduceExpPreservation-binop-expIsValue-True-expIsValue-False-isSomeExp-False') ).
tff(f364,conjecture,
! [X0: vAnsMap,X1: vBinOpT,X2: vAType,X3: vExp] :
( ( ~ vexpIsValue(ve2)
& vexpIsValue(ve1)
& ( vecheck(vtypeAM(X0),vbinop(ve1,X1,ve2)) = vsomeAType(X2) )
& ( vreduceExp(vbinop(ve1,X1,ve2),X0) = vsomeExp(X3) ) )
=> ( vecheck(vtypeAM(X0),X3) = vsomeAType(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduceExpPreservation-binop-expIsValue-True-expIsValue-False') ).
tff(f365,negated_conjecture,
~ ! [X0: vAnsMap,X1: vBinOpT,X2: vAType,X3: vExp] :
( ( ~ vexpIsValue(ve2)
& vexpIsValue(ve1)
& ( vecheck(vtypeAM(X0),vbinop(ve1,X1,ve2)) = vsomeAType(X2) )
& ( vreduceExp(vbinop(ve1,X1,ve2),X0) = vsomeExp(X3) ) )
=> ( vecheck(vtypeAM(X0),X3) = vsomeAType(X2) ) ),
inference(negated_conjecture,[status(cth)],[f364]) ).
tff(f366,plain,
? [X0: vAnsMap,X1: vBinOpT,X2: vAType,X3: vExp] :
( ( vsomeAType(X2) != vecheck(vtypeAM(X0),X3) )
& ~ vexpIsValue(ve2)
& vexpIsValue(ve1)
& ( vecheck(vtypeAM(X0),vbinop(ve1,X1,ve2)) = vsomeAType(X2) )
& ( vreduceExp(vbinop(ve1,X1,ve2),X0) = vsomeExp(X3) ) ),
inference(ennf_transformation,[],[f365]) ).
tff(f367,plain,
? [X0: vAnsMap,X1: vBinOpT,X2: vAType,X3: vExp] :
( ( vsomeAType(X2) != vecheck(vtypeAM(X0),X3) )
& ~ vexpIsValue(ve2)
& vexpIsValue(ve1)
& ( vecheck(vtypeAM(X0),vbinop(ve1,X1,ve2)) = vsomeAType(X2) )
& ( vreduceExp(vbinop(ve1,X1,ve2),X0) = vsomeExp(X3) ) ),
inference(flattening,[],[f366]) ).
tff(f372,plain,
! [X0: vAnsMap,X1: vBinOpT,X2: vAType,X3: vExp] :
( ( vecheck(vtypeAM(X0),X3) = vsomeAType(X2) )
| visSomeExp(vreduceExp(ve2,X0))
| vexpIsValue(ve2)
| ~ vexpIsValue(ve1)
| ( vsomeAType(X2) != vecheck(vtypeAM(X0),vbinop(ve1,X1,ve2)) )
| ( vreduceExp(vbinop(ve1,X1,ve2),X0) != vsomeExp(X3) ) ),
inference(ennf_transformation,[],[f363]) ).
tff(f373,plain,
! [X0: vAnsMap,X1: vBinOpT,X2: vAType,X3: vExp] :
( ( vecheck(vtypeAM(X0),X3) = vsomeAType(X2) )
| visSomeExp(vreduceExp(ve2,X0))
| vexpIsValue(ve2)
| ~ vexpIsValue(ve1)
| ( vsomeAType(X2) != vecheck(vtypeAM(X0),vbinop(ve1,X1,ve2)) )
| ( vreduceExp(vbinop(ve1,X1,ve2),X0) != vsomeExp(X3) ) ),
inference(flattening,[],[f372]) ).
tff(f374,plain,
! [X0: vAnsMap,X1: vBinOpT,X2: vAType,X3: vExp] :
( ( vecheck(vtypeAM(X0),X3) = vsomeAType(X2) )
| ~ visSomeExp(vreduceExp(ve2,X0))
| vexpIsValue(ve2)
| ~ vexpIsValue(ve1)
| ( vsomeAType(X2) != vecheck(vtypeAM(X0),vbinop(ve1,X1,ve2)) )
| ( vreduceExp(vbinop(ve1,X1,ve2),X0) != vsomeExp(X3) ) ),
inference(ennf_transformation,[],[f362]) ).
tff(f375,plain,
! [X0: vAnsMap,X1: vBinOpT,X2: vAType,X3: vExp] :
( ( vecheck(vtypeAM(X0),X3) = vsomeAType(X2) )
| ~ visSomeExp(vreduceExp(ve2,X0))
| vexpIsValue(ve2)
| ~ vexpIsValue(ve1)
| ( vsomeAType(X2) != vecheck(vtypeAM(X0),vbinop(ve1,X1,ve2)) )
| ( vreduceExp(vbinop(ve1,X1,ve2),X0) != vsomeExp(X3) ) ),
inference(flattening,[],[f374]) ).
tff(f409,plain,
( ( vsomeAType(sK4) != vecheck(vtypeAM(sK2),sK5) )
& ~ vexpIsValue(ve2)
& vexpIsValue(ve1)
& ( vsomeAType(sK4) = vecheck(vtypeAM(sK2),vbinop(ve1,sK3,ve2)) )
& ( vreduceExp(vbinop(ve1,sK3,ve2),sK2) = vsomeExp(sK5) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5)],[f367]) ).
tff(f427,plain,
vreduceExp(vbinop(ve1,sK3,ve2),sK2) = vsomeExp(sK5),
inference(cnf_transformation,[],[f409]) ).
tff(f428,plain,
vsomeAType(sK4) = vecheck(vtypeAM(sK2),vbinop(ve1,sK3,ve2)),
inference(cnf_transformation,[],[f409]) ).
tff(f429,plain,
vexpIsValue(ve1),
inference(cnf_transformation,[],[f409]) ).
tff(f430,plain,
~ vexpIsValue(ve2),
inference(cnf_transformation,[],[f409]) ).
tff(f431,plain,
vsomeAType(sK4) != vecheck(vtypeAM(sK2),sK5),
inference(cnf_transformation,[],[f409]) ).
tff(f438,plain,
! [X2: vAType,X3: vExp,X0: vAnsMap,X1: vBinOpT] :
( ( vsomeAType(X2) = vecheck(vtypeAM(X0),X3) )
| visSomeExp(vreduceExp(ve2,X0))
| vexpIsValue(ve2)
| ~ vexpIsValue(ve1)
| ( vsomeAType(X2) != vecheck(vtypeAM(X0),vbinop(ve1,X1,ve2)) )
| ( vreduceExp(vbinop(ve1,X1,ve2),X0) != vsomeExp(X3) ) ),
inference(cnf_transformation,[],[f373]) ).
tff(f439,plain,
! [X2: vAType,X3: vExp,X0: vAnsMap,X1: vBinOpT] :
( ( vsomeAType(X2) = vecheck(vtypeAM(X0),X3) )
| ~ visSomeExp(vreduceExp(ve2,X0))
| vexpIsValue(ve2)
| ~ vexpIsValue(ve1)
| ( vsomeAType(X2) != vecheck(vtypeAM(X0),vbinop(ve1,X1,ve2)) )
| ( vreduceExp(vbinop(ve1,X1,ve2),X0) != vsomeExp(X3) ) ),
inference(cnf_transformation,[],[f375]) ).
tff(f864,plain,
! [X2: vAType,X3: vExp,X0: vAnsMap,X1: vBinOpT] :
( ( vsomeAType(X2) = vecheck(vtypeAM(X0),X3) )
| visSomeExp(vreduceExp(ve2,X0))
| ~ vexpIsValue(ve1)
| ( vsomeAType(X2) != vecheck(vtypeAM(X0),vbinop(ve1,X1,ve2)) )
| ( vreduceExp(vbinop(ve1,X1,ve2),X0) != vsomeExp(X3) ) ),
inference(forward_subsumption_resolution,[],[f438,f430]) ).
tff(f865,plain,
! [X2: vAType,X3: vExp,X0: vAnsMap,X1: vBinOpT] :
( ( vsomeAType(X2) != vecheck(vtypeAM(X0),vbinop(ve1,X1,ve2)) )
| visSomeExp(vreduceExp(ve2,X0))
| ( vsomeAType(X2) = vecheck(vtypeAM(X0),X3) )
| ( vreduceExp(vbinop(ve1,X1,ve2),X0) != vsomeExp(X3) ) ),
inference(forward_subsumption_resolution,[],[f864,f429]) ).
tff(f874,plain,
! [X2: vAType,X3: vExp,X0: vAnsMap,X1: vBinOpT] :
( ( vsomeAType(X2) = vecheck(vtypeAM(X0),X3) )
| vexpIsValue(ve2)
| ~ vexpIsValue(ve1)
| ( vsomeAType(X2) != vecheck(vtypeAM(X0),vbinop(ve1,X1,ve2)) )
| ( vreduceExp(vbinop(ve1,X1,ve2),X0) != vsomeExp(X3) ) ),
inference(forward_subsumption_resolution,[],[f439,f865]) ).
tff(f875,plain,
! [X2: vAType,X3: vExp,X0: vAnsMap,X1: vBinOpT] :
( ( vsomeAType(X2) = vecheck(vtypeAM(X0),X3) )
| ~ vexpIsValue(ve1)
| ( vsomeAType(X2) != vecheck(vtypeAM(X0),vbinop(ve1,X1,ve2)) )
| ( vreduceExp(vbinop(ve1,X1,ve2),X0) != vsomeExp(X3) ) ),
inference(forward_subsumption_resolution,[],[f874,f430]) ).
tff(f876,plain,
! [X2: vAType,X3: vExp,X0: vAnsMap,X1: vBinOpT] :
( ( vsomeAType(X2) != vecheck(vtypeAM(X0),vbinop(ve1,X1,ve2)) )
| ( vsomeAType(X2) = vecheck(vtypeAM(X0),X3) )
| ( vreduceExp(vbinop(ve1,X1,ve2),X0) != vsomeExp(X3) ) ),
inference(forward_subsumption_resolution,[],[f875,f429]) ).
tff(f883,plain,
! [X0: vAType,X1: vExp] :
( ( vsomeAType(X0) != vsomeAType(sK4) )
| ( vsomeAType(X0) = vecheck(vtypeAM(sK2),X1) )
| ( vsomeExp(X1) != vreduceExp(vbinop(ve1,sK3,ve2),sK2) ) ),
inference(superposition,[],[f876,f428]) ).
tff(f884,plain,
! [X0: vAType,X1: vExp] :
( ( vsomeAType(X0) != vsomeAType(sK4) )
| ( vsomeExp(X1) != vsomeExp(sK5) )
| ( vsomeAType(X0) = vecheck(vtypeAM(sK2),X1) ) ),
inference(forward_demodulation,[],[f883,f427]) ).
tff(f887,plain,
! [X0: vExp] :
( ( vsomeExp(X0) != vsomeExp(sK5) )
| ( vsomeAType(sK4) = vecheck(vtypeAM(sK2),X0) ) ),
inference(equality_resolution,[],[f884]) ).
tff(f891,plain,
vsomeAType(sK4) = vecheck(vtypeAM(sK2),sK5),
inference(equality_resolution,[],[f887]) ).
tff(f892,plain,
$false,
inference(forward_subsumption_resolution,[],[f891,f431]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM271_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 % Computer : n026.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Mon Sep 28 22:06:27 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.25 Running first-order theorem proving
% 0.08/0.25 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
% 1.75/0.78 % (134963)Detected formulas, will run a generic FOF schedule.
% 1.75/0.78 % (135032)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2496653746:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.75/0.78 % (135032)First to succeed.
% 1.75/0.78 % (135032)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-134963"
% 1.75/0.78 % (135030)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=3588965287:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.75/0.78 % (135034)dis-21_1_sil=8000:lcm=predicate:random_seed=1431511852: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)
% 1.75/0.78 % (135033)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1711964394:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.75/0.78 % (135028)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=2699306048:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.75/0.78 % (135027)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=1628447652:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.75/0.78 % (135034)Also succeeded, but the first one will report.
% 1.75/0.78 % (135031)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2586375236:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.75/0.78 % (135031)Also succeeded, but the first one will report.
% 1.75/0.78 % (135033)Also succeeded, but the first one will report.
% 1.75/0.78 % (135032)Refutation found. Thanks to Tanya!
% 1.75/0.78 % SZS status Theorem for theBenchmark
% 1.75/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 2.35/0.88 % (135032)------------------------------
% 2.35/0.88 % (135032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.35/0.88 % (135032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.88 % (135032)CaDiCaL version: 2.1.3
% 2.35/0.88 % (135032)Termination reason: Refutation
% 2.35/0.88 % (135032)Time elapsed: 0.011 s
% 2.35/0.88 % (135032)Peak memory usage: 89 MB
% 2.35/0.88 % (135032)Instructions burned: 27 (million)
% 2.35/0.88 % (135032)------------------------------
% 2.35/0.88 % (135032)------------------------------
% 2.35/0.88 % (134963)Success in time 0.303 s
% 2.35/0.88 % Vampire exiting
%------------------------------------------------------------------------------