%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : COM272_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 : Thu Sep 24 12:11:50 PM UTC 2026
% Result : Theorem 163.34s 24.27s
% Output : CNFRefutation 163.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 58 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 133 ( 77 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 124 ( 49 ~; 39 |; 25 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 8 ( 7 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-3 aty)
% Number of variables : 107 ( 0 sgn 105 !; 2 ?; 107 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
vAnsMap: $tType ).
tff(decl_sort2,type,
vExp: $tType ).
tff(decl_sort3,type,
vAType: $tType ).
tff(decl_sort4,type,
vOptExp: $tType ).
tff(decl_sort5,type,
vBinOpT: $tType ).
tff(decl_sort6,type,
vOptAType: $tType ).
tff(decl_sort7,type,
vATMap: $tType ).
tff(decl_27,type,
vsomeExp: vExp > vOptExp ).
tff(decl_33,type,
vnoAType: vOptAType ).
tff(decl_35,type,
ve1: vExp ).
tff(decl_55,type,
vbinop: ( vExp * ( vBinOpT * vExp ) ) > vExp ).
tff(decl_75,type,
vsomeAType: vAType > vOptAType ).
tff(decl_76,type,
ve2: vExp ).
tff(decl_83,type,
vecheck: ( vExp * vATMap ) > vOptAType ).
tff(decl_93,type,
vexpIsValue: vExp > $o ).
tff(decl_96,type,
vtypeAM: vAnsMap > vATMap ).
tff(decl_103,type,
visSomeAType: vOptAType > $o ).
tff(decl_113,type,
vcheckBinOp: ( vAType * ( vAType * vBinOpT ) ) > vOptAType ).
tff(decl_120,type,
visSomeExp: vOptExp > $o ).
tff(decl_128,type,
vreduceExp: ( vAnsMap * vExp ) > vOptExp ).
tff(decl_137,type,
vgetAType: vOptAType > vAType ).
tff(decl_142,type,
vgetExp: vOptExp > vExp ).
tff(decl_248,type,
esk84_1: vOptAType > vAType ).
tff(decl_299,type,
esk135_1: vOptExp > vExp ).
tff(decl_400,type,
esk236_0: vAnsMap ).
tff(decl_401,type,
esk237_0: vBinOpT ).
tff(decl_402,type,
esk238_0: vAType ).
tff(decl_403,type,
esk239_0: vExp ).
tff('reduceExpPreservation-binop-IH1',axiom,
! [X126: vAnsMap,X73: vAType,X500: vExp] :
( ( ( vreduceExp(ve2,X126) = vsomeExp(X500) )
& ( vecheck(vtypeAM(X126),ve2) = vsomeAType(X73) ) )
=> ( vecheck(vtypeAM(X126),X500) = vsomeAType(X73) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduceExpPreservation-binop-IH1') ).
tff('isSomeExp-true-INV',axiom,
! [X171: vOptExp] :
( visSomeExp(X171)
=> ? [X172: vExp] : ( X171 = vsomeExp(X172) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeExp-true-INV') ).
tff('reduceExpPreservation-binop-expIsValue-True-expIsValue-False-isSomeExp-True',conjecture,
! [X126: vAnsMap,X501: vBinOpT,X73: vAType,X500: vExp] :
( ( ( vreduceExp(vbinop(ve1,X501,ve2),X126) = vsomeExp(X500) )
& ( vecheck(vtypeAM(X126),vbinop(ve1,X501,ve2)) = vsomeAType(X73) )
& vexpIsValue(ve1)
& ~ vexpIsValue(ve2)
& visSomeExp(vreduceExp(ve2,X126)) )
=> ( vecheck(vtypeAM(X126),X500) = vsomeAType(X73) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduceExpPreservation-binop-expIsValue-True-expIsValue-False-isSomeExp-True') ).
tff('DIFF-noAType-someAType',axiom,
! [X4: vAType] : ( vnoAType != vsomeAType(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-noAType-someAType') ).
tff('isSomeAType-true-INV',axiom,
! [X103: vOptAType] :
( visSomeAType(X103)
=> ? [X104: vAType] : ( X103 = vsomeAType(X104) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeAType-true-INV') ).
tff('echeck-5',axiom,
! [X355: vATMap,X228: vExp,X229: vExp,X230: vBinOpT] :
( ~ ( visSomeAType(vecheck(X355,X229))
& visSomeAType(vecheck(X355,X228)) )
=> ( vecheck(X355,vbinop(X228,X230,X229)) = vnoAType ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','echeck-5') ).
tff('reduceExp-4',axiom,
! [X228: vExp,X229: vExp,X126: vAnsMap,X230: vBinOpT] :
( ( visSomeExp(vreduceExp(X229,X126))
& ~ vexpIsValue(X229)
& vexpIsValue(X228) )
=> ( vreduceExp(vbinop(X228,X230,X229),X126) = vsomeExp(vbinop(X228,X230,vgetExp(vreduceExp(X229,X126)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduceExp-4') ).
tff('echeck-4',axiom,
! [X355: vATMap,X228: vExp,X229: vExp,X230: vBinOpT] :
( ( visSomeAType(vecheck(X355,X229))
& visSomeAType(vecheck(X355,X228)) )
=> ( vecheck(X355,vbinop(X228,X230,X229)) = vcheckBinOp(X230,vgetAType(vecheck(X355,X228)),vgetAType(vecheck(X355,X229))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','echeck-4') ).
tff('EQ-someExp',axiom,
! [X5: vExp,X9: vExp] :
( ( vsomeExp(X5) = vsomeExp(X9) )
=> ( X5 = X9 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-someExp') ).
tff('getExp-0',axiom,
! [X75: vExp] : ( vgetExp(vsomeExp(X75)) = X75 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','getExp-0') ).
tff(c_0_10,plain,
! [X1619: vAnsMap,X1620: vAType,X1621: vExp] :
( ( vecheck(vtypeAM(X1619),X1621) = vsomeAType(X1620) )
| ( vreduceExp(ve2,X1619) != vsomeExp(X1621) )
| ( vecheck(vtypeAM(X1619),ve2) != vsomeAType(X1620) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['reduceExpPreservation-binop-IH1'])])]) ).
tff(c_0_11,plain,
! [X1028: vOptExp] :
( ( X1028 = vsomeExp(esk135_1(X1028)) )
| ~ visSomeExp(X1028) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['isSomeExp-true-INV'])])])]) ).
tff(c_0_12,negated_conjecture,
~ ! [X126: vAnsMap,X501: vBinOpT,X73: vAType,X500: vExp] :
( ( ( vreduceExp(vbinop(ve1,X501,ve2),X126) = vsomeExp(X500) )
& ( vecheck(vtypeAM(X126),vbinop(ve1,X501,ve2)) = vsomeAType(X73) )
& vexpIsValue(ve1)
& ~ vexpIsValue(ve2)
& visSomeExp(vreduceExp(ve2,X126)) )
=> ( vecheck(vtypeAM(X126),X500) = vsomeAType(X73) ) ),
inference(assume_negation,[status(cth)],['reduceExpPreservation-binop-expIsValue-True-expIsValue-False-isSomeExp-True']) ).
tcf(c_0_13,plain,
! [X4: vAType,X55: vAnsMap,X5: vExp] :
( ( vreduceExp(ve2,X55) != vsomeExp(X5) )
| ( vecheck(vtypeAM(X55),ve2) != vsomeAType(X4) )
| ( vecheck(vtypeAM(X55),X5) = vsomeAType(X4) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
tcf(c_0_14,plain,
! [X53: vOptExp] :
( ~ visSomeExp(X53)
| ( X53 = vsomeExp(esk135_1(X53)) ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
tff(c_0_15,negated_conjecture,
~ ! [X126: vAnsMap,X501: vBinOpT,X73: vAType,X500: vExp] :
( ( ( vreduceExp(vbinop(ve1,X501,ve2),X126) = vsomeExp(X500) )
& ( vecheck(vtypeAM(X126),vbinop(ve1,X501,ve2)) = vsomeAType(X73) )
& vexpIsValue(ve1)
& ~ vexpIsValue(ve2)
& visSomeExp(vreduceExp(ve2,X126)) )
=> ( vecheck(vtypeAM(X126),X500) = vsomeAType(X73) ) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
tcf(c_0_16,plain,
! [X4: vAType,X55: vAnsMap,X53: vOptExp] :
( ~ visSomeExp(X53)
| ( vreduceExp(ve2,X55) != X53 )
| ( vecheck(vtypeAM(X55),ve2) != vsomeAType(X4) )
| ( vecheck(vtypeAM(X55),esk135_1(X53)) = vsomeAType(X4) ) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
tff(c_0_17,negated_conjecture,
( ( vecheck(vtypeAM(esk236_0),esk239_0) != vsomeAType(esk238_0) )
& ( vreduceExp(vbinop(ve1,esk237_0,ve2),esk236_0) = vsomeExp(esk239_0) )
& ( vecheck(vtypeAM(esk236_0),vbinop(ve1,esk237_0,ve2)) = vsomeAType(esk238_0) )
& vexpIsValue(ve1)
& ~ vexpIsValue(ve2)
& visSomeExp(vreduceExp(ve2,esk236_0)) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])]) ).
tff(c_0_18,plain,
! [X4: vAType] : ( vnoAType != vsomeAType(X4) ),
inference(fof_simplification,[status(thm)],['DIFF-noAType-someAType']) ).
tcf(c_0_19,plain,
! [X4: vAType,X55: vAnsMap] :
( ~ visSomeExp(vreduceExp(ve2,X55))
| ( vecheck(vtypeAM(X55),ve2) != vsomeAType(X4) )
| ( vecheck(vtypeAM(X55),esk135_1(vreduceExp(ve2,X55))) = vsomeAType(X4) ) ),
inference(er,[status(thm)],[c_0_16]) ).
tcf(c_0_20,negated_conjecture,
visSomeExp(vreduceExp(ve2,esk236_0)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
tff(c_0_21,plain,
! [X906: vOptAType] :
( ( X906 = vsomeAType(esk84_1(X906)) )
| ~ visSomeAType(X906) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['isSomeAType-true-INV'])])])]) ).
tff(c_0_22,plain,
! [X1345: vATMap,X1346: vExp,X1347: vExp,X1348: vBinOpT] :
( ( ( vecheck(X1345,vbinop(X1346,X1348,X1347)) = vnoAType )
| visSomeAType(vecheck(X1345,X1347)) )
& ( ( vecheck(X1345,vbinop(X1346,X1348,X1347)) = vnoAType )
| visSomeAType(vecheck(X1345,X1346)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['echeck-5'])])]) ).
tff(c_0_23,plain,
! [X709: vAType] : ( vnoAType != vsomeAType(X709) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_18])]) ).
tff(c_0_24,plain,
! [X228: vExp,X229: vExp,X126: vAnsMap,X230: vBinOpT] :
( ( visSomeExp(vreduceExp(X229,X126))
& ~ vexpIsValue(X229)
& vexpIsValue(X228) )
=> ( vreduceExp(vbinop(X228,X230,X229),X126) = vsomeExp(vbinop(X228,X230,vgetExp(vreduceExp(X229,X126)))) ) ),
inference(fof_simplification,[status(thm)],['reduceExp-4']) ).
tcf(c_0_25,negated_conjecture,
! [X4: vAType] :
( ( vecheck(vtypeAM(esk236_0),ve2) != vsomeAType(X4) )
| ( vecheck(vtypeAM(esk236_0),esk135_1(vreduceExp(ve2,esk236_0))) = vsomeAType(X4) ) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
tcf(c_0_26,plain,
! [X46: vOptAType] :
( ~ visSomeAType(X46)
| ( X46 = vsomeAType(esk84_1(X46)) ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
tcf(c_0_27,negated_conjecture,
vecheck(vtypeAM(esk236_0),vbinop(ve1,esk237_0,ve2)) = vsomeAType(esk238_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
tcf(c_0_28,plain,
! [X9: vExp,X22: vBinOpT,X15: vATMap,X5: vExp] :
( ( vecheck(X15,vbinop(X9,X22,X5)) = vnoAType )
| visSomeAType(vecheck(X15,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
tcf(c_0_29,plain,
! [X4: vAType] : vnoAType != vsomeAType(X4),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
tff(c_0_30,plain,
! [X1341: vATMap,X1342: vExp,X1343: vExp,X1344: vBinOpT] :
( ( vecheck(X1341,vbinop(X1342,X1344,X1343)) = vcheckBinOp(X1344,vgetAType(vecheck(X1341,X1342)),vgetAType(vecheck(X1341,X1343))) )
| ~ visSomeAType(vecheck(X1341,X1343))
| ~ visSomeAType(vecheck(X1341,X1342)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['echeck-4'])])]) ).
tff(c_0_31,plain,
! [X1117: vExp,X1118: vExp,X1119: vAnsMap,X1120: vBinOpT] :
( ( vreduceExp(vbinop(X1117,X1120,X1118),X1119) = vsomeExp(vbinop(X1117,X1120,vgetExp(vreduceExp(X1118,X1119)))) )
| ~ visSomeExp(vreduceExp(X1118,X1119))
| vexpIsValue(X1118)
| ~ vexpIsValue(X1117) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
tcf(c_0_32,negated_conjecture,
! [X46: vOptAType] :
( ~ visSomeAType(X46)
| ( vecheck(vtypeAM(esk236_0),ve2) != X46 )
| ( vecheck(vtypeAM(esk236_0),esk135_1(vreduceExp(ve2,esk236_0))) = X46 ) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
tcf(c_0_33,negated_conjecture,
visSomeAType(vecheck(vtypeAM(esk236_0),ve2)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
tcf(c_0_34,plain,
! [X5: vExp,X22: vBinOpT,X15: vATMap,X9: vExp] :
( ~ visSomeAType(vecheck(X15,X9))
| ~ visSomeAType(vecheck(X15,X5))
| ( vecheck(X15,vbinop(X5,X22,X9)) = vcheckBinOp(X22,vgetAType(vecheck(X15,X5)),vgetAType(vecheck(X15,X9))) ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
tcf(c_0_35,plain,
! [X5: vExp,X22: vBinOpT,X15: vATMap,X9: vExp] :
( ( vecheck(X15,vbinop(X5,X22,X9)) = vnoAType )
| visSomeAType(vecheck(X15,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
tff(c_0_36,plain,
! [X729: vExp,X730: vExp] :
( ( X729 = X730 )
| ( vsomeExp(X729) != vsomeExp(X730) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-someExp'])])]) ).
tcf(c_0_37,plain,
! [X5: vExp,X9: vExp,X22: vBinOpT,X55: vAnsMap] :
( ~ visSomeExp(vreduceExp(X9,X55))
| ~ vexpIsValue(X5)
| ( vreduceExp(vbinop(X5,X22,X9),X55) = vsomeExp(vbinop(X5,X22,vgetExp(vreduceExp(X9,X55)))) )
| vexpIsValue(X9) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
tcf(c_0_38,negated_conjecture,
~ vexpIsValue(ve2),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
tcf(c_0_39,negated_conjecture,
vecheck(vtypeAM(esk236_0),esk135_1(vreduceExp(ve2,esk236_0))) = vecheck(vtypeAM(esk236_0),ve2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_32]),c_0_33])]) ).
tcf(c_0_40,negated_conjecture,
! [X22: vBinOpT,X5: vExp] :
( ~ visSomeAType(vecheck(vtypeAM(esk236_0),X5))
| ( vcheckBinOp(X22,vgetAType(vecheck(vtypeAM(esk236_0),X5)),vgetAType(vecheck(vtypeAM(esk236_0),ve2))) = vecheck(vtypeAM(esk236_0),vbinop(X5,X22,ve2)) ) ),
inference(spm,[status(thm)],[c_0_34,c_0_33]) ).
tcf(c_0_41,negated_conjecture,
visSomeAType(vecheck(vtypeAM(esk236_0),ve1)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_35]),c_0_29]) ).
tff(c_0_42,plain,
! [X828: vExp] : ( vgetExp(vsomeExp(X828)) = X828 ),
inference(variable_rename,[status(thm)],['getExp-0']) ).
tcf(c_0_43,plain,
! [X5: vExp,X9: vExp] :
( ( vsomeExp(X5) != vsomeExp(X9) )
| ( X5 = X9 ) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
tcf(c_0_44,negated_conjecture,
! [X22: vBinOpT,X5: vExp] :
( ~ vexpIsValue(X5)
| ( vsomeExp(vbinop(X5,X22,vgetExp(vreduceExp(ve2,esk236_0)))) = vreduceExp(vbinop(X5,X22,ve2),esk236_0) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_20]),c_0_38]) ).
tcf(c_0_45,negated_conjecture,
! [X22: vBinOpT,X5: vExp] :
( ~ visSomeAType(vecheck(vtypeAM(esk236_0),X5))
| ( vcheckBinOp(X22,vgetAType(vecheck(vtypeAM(esk236_0),X5)),vgetAType(vecheck(vtypeAM(esk236_0),ve2))) = vecheck(vtypeAM(esk236_0),vbinop(X5,X22,esk135_1(vreduceExp(ve2,esk236_0)))) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_39]),c_0_33])]) ).
tcf(c_0_46,negated_conjecture,
! [X22: vBinOpT] : vcheckBinOp(X22,vgetAType(vecheck(vtypeAM(esk236_0),ve1)),vgetAType(vecheck(vtypeAM(esk236_0),ve2))) = vecheck(vtypeAM(esk236_0),vbinop(ve1,X22,ve2)),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
tcf(c_0_47,plain,
! [X5: vExp] : vgetExp(vsomeExp(X5)) = X5,
inference(split_conjunct,[status(thm)],[c_0_42]) ).
tcf(c_0_48,negated_conjecture,
! [X22: vBinOpT,X9: vExp,X5: vExp] :
( ~ vexpIsValue(X5)
| ( vreduceExp(vbinop(X5,X22,ve2),esk236_0) != vsomeExp(X9) )
| ( vbinop(X5,X22,vgetExp(vreduceExp(ve2,esk236_0))) = X9 ) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
tcf(c_0_49,negated_conjecture,
vreduceExp(vbinop(ve1,esk237_0,ve2),esk236_0) = vsomeExp(esk239_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
tcf(c_0_50,negated_conjecture,
vexpIsValue(ve1),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
tcf(c_0_51,negated_conjecture,
! [X22: vBinOpT] : vecheck(vtypeAM(esk236_0),vbinop(ve1,X22,esk135_1(vreduceExp(ve2,esk236_0)))) = vecheck(vtypeAM(esk236_0),vbinop(ve1,X22,ve2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_41]),c_0_46]) ).
tcf(c_0_52,plain,
! [X53: vOptExp] :
( ~ visSomeExp(X53)
| ( esk135_1(X53) = vgetExp(X53) ) ),
inference(spm,[status(thm)],[c_0_47,c_0_14]) ).
tcf(c_0_53,negated_conjecture,
! [X5: vExp] :
( ( vsomeExp(esk239_0) != vsomeExp(X5) )
| ( vbinop(ve1,esk237_0,vgetExp(vreduceExp(ve2,esk236_0))) = X5 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50])]) ).
tcf(c_0_54,negated_conjecture,
! [X22: vBinOpT] : vecheck(vtypeAM(esk236_0),vbinop(ve1,X22,vgetExp(vreduceExp(ve2,esk236_0)))) = vecheck(vtypeAM(esk236_0),vbinop(ve1,X22,ve2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_20])]) ).
tcf(c_0_55,negated_conjecture,
vbinop(ve1,esk237_0,vgetExp(vreduceExp(ve2,esk236_0))) = esk239_0,
inference(er,[status(thm)],[c_0_53]) ).
tcf(c_0_56,negated_conjecture,
vecheck(vtypeAM(esk236_0),esk239_0) != vsomeAType(esk238_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_57,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_27]),c_0_56]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM272_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n019.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 21 14:22:51 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 163.34/24.27 % Version: 3.5.1
% 163.34/24.27 % Preprocessing class: FSLMSMSMSSSNFFN.
% 163.34/24.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 163.34/24.27 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 163.34/24.27 % Starting new_bool_3 with 600s (2) cores
% 163.34/24.27 % Starting new_bool_1 with 300s (1) cores
% 163.34/24.27 % Starting sh5l with 300s (1) cores
% 163.34/24.27 % G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with pid 2806960 completed with status 0
% 163.34/24.27 % Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S
% 163.34/24.27 % Preprocessing class: FSLMSMSMSSSNFFN.
% 163.34/24.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 163.34/24.27 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 163.34/24.27 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 163.34/24.27 % No SInE strategy applied
% 163.34/24.27 % Search class: FGUSM-SMLM32-DFFFFFNN
% 163.34/24.27 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 163.34/24.27 % Starting SubtermCWHack with 109s (1) cores
% 163.34/24.27 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 163.34/24.27 % Starting sh3 with 217s (1) cores
% 163.34/24.27 % Starting ho_unfolding_3 with 217s (1) cores
% 163.34/24.27 % G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with pid 2807007 completed with status 0
% 163.34/24.27 % Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S
% 163.34/24.27 % Preprocessing class: FSLMSMSMSSSNFFN.
% 163.34/24.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 163.34/24.27 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 163.34/24.27 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 163.34/24.27 % No SInE strategy applied
% 163.34/24.27 % Search class: FGUSM-SMLM32-DFFFFFNN
% 163.34/24.27 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 163.34/24.27 % Starting SubtermCWHack with 109s (1) cores
% 163.34/24.27 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 163.34/24.27 % Preprocessing time : 0.033 s
% 163.34/24.27 % Presaturation interreduction done
% 163.34/24.27
% 163.34/24.27 % Proof found!
% 163.34/24.27 % SZS status Theorem
% 163.34/24.27 % SZS output start CNFRefutation
% See solution above
% 163.34/24.27 % Parsed axioms : 508
% 163.34/24.27 % Removed by relevancy pruning/SinE : 0
% 163.34/24.27 % Initial clauses : 2531
% 163.34/24.27 % Removed in clause preprocessing : 152
% 163.34/24.27 % Initial clauses in saturation : 2379
% 163.34/24.27 % Processed clauses : 44357
% 163.34/24.27 % ...of these trivial : 387
% 163.34/24.27 % ...subsumed : 31376
% 163.34/24.27 % ...remaining for further processing : 12594
% 163.34/24.27 % Other redundant clauses eliminated : 40691
% 163.34/24.27 % Clauses deleted for lack of memory : 0
% 163.34/24.27 % Backward-subsumed : 458
% 163.34/24.27 % Backward-rewritten : 177
% 163.34/24.27 % Generated clauses : 684828
% 163.34/24.27 % ...of the previous two non-redundant : 616293
% 163.34/24.27 % ...aggressively subsumed : 0
% 163.34/24.27 % Contextual simplify-reflections : 189
% 163.34/24.27 % Paramodulations : 641854
% 163.34/24.27 % Factorizations : 906
% 163.34/24.27 % NegExts : 0
% 163.34/24.27 % Equation resolutions : 42068
% 163.34/24.27 % Disequality decompositions : 0
% 163.34/24.27 % Total rewrite steps : 85782
% 163.34/24.27 % ...of those cached : 83683
% 163.34/24.27 % Propositional unsat checks : 0
% 163.34/24.27 % Propositional check models : 0
% 163.34/24.27 % Propositional check unsatisfiable : 0
% 163.34/24.27 % Propositional clauses : 0
% 163.34/24.27 % Propositional clauses after purity: 0
% 163.34/24.27 % Propositional unsat core size : 0
% 163.34/24.27 % Propositional preprocessing time : 0.000
% 163.34/24.27 % Propositional encoding time : 0.000
% 163.34/24.27 % Propositional solver time : 0.000
% 163.34/24.27 % Success case prop preproc time : 0.000
% 163.34/24.27 % Success case prop encoding time : 0.000
% 163.34/24.27 % Success case prop solver time : 0.000
% 163.34/24.27 % Current number of processed clauses : 9868
% 163.34/24.27 % Positive orientable unit clauses : 612
% 163.34/24.27 % Positive unorientable unit clauses: 26
% 163.34/24.27 % Negative unit clauses : 557
% 163.34/24.27 % Non-unit-clauses : 8673
% 163.34/24.27 % Current number of unprocessed clauses: 573025
% 163.34/24.27 % ...number of literals in the above : 2829715
% 163.34/24.27 % Current number of archived formulas : 0
% 163.34/24.27 % Current number of archived clauses : 2732
% 163.34/24.27 % Clause-clause subsumption calls (NU) : 15888661
% 163.34/24.27 % Rec. Clause-clause subsumption calls : 5158317
% 163.34/24.27 % Non-unit clause-clause subsumptions : 23028
% 163.34/24.27 % Unit Clause-clause subsumption calls : 1300911
% 163.34/24.27 % Rewrite failures with RHS unbound : 1029
% 163.34/24.27 % BW rewrite match attempts : 9907
% 163.34/24.27 % BW rewrite match successes : 214
% 163.34/24.27 % Condensation attempts : 0
% 163.34/24.27 % Condensation successes : 0
% 163.34/24.27 % Termbank termtop insertions : 8230023
% 163.34/24.27 % Search garbage collected termcells : 16386
% 163.34/24.27
% 163.34/24.27 % -------------------------------------------------
% 163.34/24.27 % User time : 22.714 s
% 163.34/24.27 % System time : 0.420 s
% 163.34/24.27 % Total time : 23.134 s
% 163.34/24.27 % Maximum resident set size: 8888 pages
% 163.34/24.27
% 163.34/24.27 % -------------------------------------------------
% 163.34/24.27 % User time : 89.721 s
% 163.34/24.27 % System time : 2.575 s
% 163.34/24.27 % Total time : 92.296 s
% 163.34/24.27 % Maximum resident set size: 5632 pages
% 163.34/24.27 % E exiting
%------------------------------------------------------------------------------