%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM452+6 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /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 : Thu Sep 24 01:49:08 PM UTC 2026
% Result : Theorem 0.18s 0.58s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 16
% Syntax : Number of formulae : 90 ( 23 unt; 0 def)
% Number of atoms : 429 ( 108 equ)
% Maximal formula atoms : 44 ( 4 avg)
% Number of connectives : 527 ( 188 ~; 175 |; 132 &)
% ( 12 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-2 aty)
% Number of variables : 129 ( 0 sgn 71 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__2171,hypothesis,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& ! [X1] :
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> aElementOf0(X1,stldt0(sbsmnsldt0(xS))) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) ) )
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( ? [X2] :
( aElementOf0(X1,X2)
& aElementOf0(X2,xS) )
& aInteger0(X1) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X1] :
( ( ( ( sdteqdtlpzmzozddtrp0(X1,sz10,xp)
| aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
| ? [X2] :
( sdtasdt0(xp,X2) = sdtpldt0(X1,smndt0(sz10))
& aInteger0(X2) ) )
& aInteger0(X1) )
=> aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> ( sdteqdtlpzmzozddtrp0(X1,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
& ? [X2] :
( sdtasdt0(xp,X2) = sdtpldt0(X1,smndt0(sz10))
& aInteger0(X2) )
& aInteger0(X1) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& xp != sz00
& aInteger0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2171) ).
fof(mEquModRef,axiom,
! [X1,X2] :
( ( X2 != sz00
& aInteger0(X2)
& aInteger0(X1) )
=> sdteqdtlpzmzozddtrp0(X1,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEquModRef) ).
fof(mIntOne,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntOne) ).
fof(mDivisor,axiom,
! [X1] :
( aInteger0(X1)
=> ! [X2] :
( aDivisorOf0(X2,X1)
<=> ( ? [X3] :
( sdtasdt0(X2,X3) = X1
& aInteger0(X3) )
& X2 != sz00
& aInteger0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivisor) ).
fof(mAddNeg,axiom,
! [X1] :
( aInteger0(X1)
=> ( sz00 = sdtpldt0(smndt0(X1),X1)
& sdtpldt0(X1,smndt0(X1)) = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddNeg) ).
fof(mZeroDiv,axiom,
! [X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X2 = sz00
| X1 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroDiv) ).
fof(mIntZero,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntZero) ).
fof(m__2079,hypothesis,
( stldt0(sbsmnsldt0(xS)) = cS2076
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( X1 = smndt0(sz10)
| X1 = sz10 ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( ? [X2] :
( aElementOf0(X1,X2)
& aElementOf0(X2,xS) )
& aInteger0(X1) ) )
& aSet0(sbsmnsldt0(xS)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2079) ).
fof(m__,conjecture,
( ( aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp)
| aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)))
| ? [X1] :
( sdtasdt0(xp,X1) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))
& aInteger0(X1) ) )
& ( aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp)
| aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
| ? [X1] :
( sdtasdt0(xp,X1) = sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10))
& aInteger0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mAddAsso,axiom,
! [X1,X2,X3] :
( ( aInteger0(X3)
& aInteger0(X2)
& aInteger0(X1) )
=> sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(mIntMult,axiom,
! [X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1) )
=> aInteger0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntMult) ).
fof(mAddZero,axiom,
! [X1] :
( aInteger0(X1)
=> ( X1 = sdtpldt0(sz00,X1)
& sdtpldt0(X1,sz00) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
fof(mMulOne,axiom,
! [X1] :
( aInteger0(X1)
=> ( X1 = sdtasdt0(sz10,X1)
& sdtasdt0(X1,sz10) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulOne) ).
fof(mIntNeg,axiom,
! [X1] :
( aInteger0(X1)
=> aInteger0(smndt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntNeg) ).
fof(mMulMinOne,axiom,
! [X1] :
( aInteger0(X1)
=> ( smndt0(X1) = sdtasdt0(X1,smndt0(sz10))
& sdtasdt0(smndt0(sz10),X1) = smndt0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulMinOne) ).
fof(c_0_16,hypothesis,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& ! [X1] :
( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> aElementOf0(X1,stldt0(sbsmnsldt0(xS))) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) ) )
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( ? [X2] :
( aElementOf0(X1,X2)
& aElementOf0(X2,xS) )
& aInteger0(X1) ) )
& aSet0(sbsmnsldt0(xS))
& ! [X1] :
( ( ( ( sdteqdtlpzmzozddtrp0(X1,sz10,xp)
| aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
| ? [X2] :
( sdtasdt0(xp,X2) = sdtpldt0(X1,smndt0(sz10))
& aInteger0(X2) ) )
& aInteger0(X1) )
=> aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> ( sdteqdtlpzmzozddtrp0(X1,sz10,xp)
& aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
& ? [X2] :
( sdtasdt0(xp,X2) = sdtpldt0(X1,smndt0(sz10))
& aInteger0(X2) )
& aInteger0(X1) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& xp != sz00
& aInteger0(xp) ),
inference(fof_simplification,[status(thm)],[m__2171]) ).
fof(c_0_17,plain,
! [X1,X2] :
( ( X2 != sz00
& aInteger0(X2)
& aInteger0(X1) )
=> sdteqdtlpzmzozddtrp0(X1,X1,X2) ),
inference(fof_simplification,[status(thm)],[mEquModRef]) ).
fof(c_0_18,hypothesis,
! [X161,X163,X164,X165,X167,X168,X169,X170] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& ( aElementOf0(X170,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X170,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( aElementOf0(X169,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X169,sbsmnsldt0(xS))
| ~ aInteger0(X169) )
& ( ~ aElementOf0(X169,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X169,sbsmnsldt0(xS)) )
& ( ~ aElementOf0(X169,stldt0(sbsmnsldt0(xS)))
| aInteger0(X169) )
& ( aElementOf0(X167,sbsmnsldt0(xS))
| ~ aElementOf0(X167,X168)
| ~ aElementOf0(X168,xS)
| ~ aInteger0(X167) )
& ( ~ aElementOf0(X165,sbsmnsldt0(xS))
| aElementOf0(X165,esk27_1(X165)) )
& ( ~ aElementOf0(X165,sbsmnsldt0(xS))
| aElementOf0(esk27_1(X165),xS) )
& ( ~ aElementOf0(X165,sbsmnsldt0(xS))
| aInteger0(X165) )
& aSet0(sbsmnsldt0(xS))
& ( aElementOf0(X163,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aInteger0(X163)
| ~ sdteqdtlpzmzozddtrp0(X163,sz10,xp) )
& ( aElementOf0(X163,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aInteger0(X163)
| ~ aDivisorOf0(xp,sdtpldt0(X163,smndt0(sz10))) )
& ( aElementOf0(X163,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aInteger0(X163)
| sdtasdt0(xp,X164) != sdtpldt0(X163,smndt0(sz10))
| ~ aInteger0(X164) )
& ( ~ aElementOf0(X161,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| sdteqdtlpzmzozddtrp0(X161,sz10,xp) )
& ( ~ aElementOf0(X161,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| aDivisorOf0(xp,sdtpldt0(X161,smndt0(sz10))) )
& ( ~ aElementOf0(X161,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| sdtasdt0(xp,esk26_1(X161)) = sdtpldt0(X161,smndt0(sz10)) )
& ( ~ aElementOf0(X161,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| aInteger0(esk26_1(X161)) )
& ( ~ aElementOf0(X161,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| aInteger0(X161) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& xp != sz00
& aInteger0(xp) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])])])])]) ).
fof(c_0_19,plain,
! [X39,X40] :
( sdteqdtlpzmzozddtrp0(X39,X39,X40)
| X40 = sz00
| ~ aInteger0(X40)
| ~ aInteger0(X39) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
cnf(c_0_20,hypothesis,
( ~ aInteger0(X1)
| ~ sdteqdtlpzmzozddtrp0(X1,sz10,xp)
| aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_21,plain,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(X1,X1,X2)
| X2 = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_22,plain,
aInteger0(sz10),
inference(split_conjunct,[status(thm)],[mIntOne]) ).
cnf(c_0_23,hypothesis,
aInteger0(xp),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,hypothesis,
xp != sz00,
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_25,plain,
! [X1] :
( aInteger0(X1)
=> ! [X2] :
( aDivisorOf0(X2,X1)
<=> ( ? [X3] :
( sdtasdt0(X2,X3) = X1
& aInteger0(X3) )
& X2 != sz00
& aInteger0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[mDivisor]) ).
cnf(c_0_26,hypothesis,
( ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10))) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,hypothesis,
aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23])]),c_0_24]) ).
fof(c_0_28,plain,
! [X17] :
( ( ~ aInteger0(X17)
| sz00 = sdtpldt0(smndt0(X17),X17) )
& ( ~ aInteger0(X17)
| sdtpldt0(X17,smndt0(X17)) = sz00 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddNeg])])])]) ).
fof(c_0_29,plain,
! [X31,X32,X34,X35] :
( ( ~ aInteger0(X31)
| aDivisorOf0(X34,X31)
| sdtasdt0(X34,X35) != X31
| ~ aInteger0(X35)
| X34 = sz00
| ~ aInteger0(X34) )
& ( ~ aInteger0(X31)
| ~ aDivisorOf0(X32,X31)
| sdtasdt0(X32,esk1_2(X31,X32)) = X31 )
& ( ~ aInteger0(X31)
| ~ aDivisorOf0(X32,X31)
| aInteger0(esk1_2(X31,X32)) )
& ( ~ aInteger0(X31)
| ~ aDivisorOf0(X32,X31)
| X32 != sz00 )
& ( ~ aInteger0(X31)
| ~ aDivisorOf0(X32,X31)
| aInteger0(X32) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])])])])]) ).
cnf(c_0_30,hypothesis,
aDivisorOf0(xp,sdtpldt0(sz10,smndt0(sz10))),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,plain,
( ~ aInteger0(X1)
| sdtpldt0(X1,smndt0(X1)) = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_32,plain,
! [X29,X30] :
( X30 = sz00
| X29 = sz00
| sdtasdt0(X29,X30) != sz00
| ~ aInteger0(X30)
| ~ aInteger0(X29) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroDiv])])]) ).
cnf(c_0_33,hypothesis,
( ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| sdtasdt0(xp,esk26_1(X1)) = sdtpldt0(X1,smndt0(sz10)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_34,hypothesis,
( ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| aInteger0(esk26_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_35,plain,
( ~ aInteger0(X2)
| ~ aDivisorOf0(X1,X2)
| sdtasdt0(X1,esk1_2(X2,X1)) = X2 ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,hypothesis,
aDivisorOf0(xp,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_22])]) ).
cnf(c_0_37,plain,
aInteger0(sz00),
inference(split_conjunct,[status(thm)],[mIntZero]) ).
cnf(c_0_38,plain,
( ~ aInteger0(X1)
| ~ aDivisorOf0(X2,X1)
| aInteger0(esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_39,hypothesis,
( stldt0(sbsmnsldt0(xS)) = cS2076
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( X1 = smndt0(sz10)
| X1 = sz10 ) )
& ! [X1] :
( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
<=> ( ~ aElementOf0(X1,sbsmnsldt0(xS))
& aInteger0(X1) ) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ! [X1] :
( aElementOf0(X1,sbsmnsldt0(xS))
<=> ( ? [X2] :
( aElementOf0(X1,X2)
& aElementOf0(X2,xS) )
& aInteger0(X1) ) )
& aSet0(sbsmnsldt0(xS)) ),
inference(fof_simplification,[status(thm)],[m__2079]) ).
cnf(c_0_40,plain,
( sdtasdt0(X1,X2) != sz00
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| X2 = sz00
| X1 = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_41,hypothesis,
sdtasdt0(xp,esk26_1(sz10)) = sdtpldt0(sz10,smndt0(sz10)),
inference(spm,[status(thm)],[c_0_33,c_0_27]) ).
cnf(c_0_42,hypothesis,
aInteger0(esk26_1(sz10)),
inference(spm,[status(thm)],[c_0_34,c_0_27]) ).
cnf(c_0_43,hypothesis,
sdtasdt0(xp,esk1_2(sz00,xp)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).
cnf(c_0_44,hypothesis,
aInteger0(esk1_2(sz00,xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_36]),c_0_37])]) ).
fof(c_0_45,hypothesis,
! [X131,X133,X134,X135,X136] :
( stldt0(sbsmnsldt0(xS)) = cS2076
& ( aElementOf0(X136,stldt0(sbsmnsldt0(xS)))
| X136 != smndt0(sz10) )
& ( aElementOf0(X136,stldt0(sbsmnsldt0(xS)))
| X136 != sz10 )
& ( X136 = smndt0(sz10)
| X136 = sz10
| ~ aElementOf0(X136,stldt0(sbsmnsldt0(xS))) )
& ( aElementOf0(X135,stldt0(sbsmnsldt0(xS)))
| aElementOf0(X135,sbsmnsldt0(xS))
| ~ aInteger0(X135) )
& ( ~ aElementOf0(X135,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(X135,sbsmnsldt0(xS)) )
& ( ~ aElementOf0(X135,stldt0(sbsmnsldt0(xS)))
| aInteger0(X135) )
& aSet0(stldt0(sbsmnsldt0(xS)))
& ( aElementOf0(X133,sbsmnsldt0(xS))
| ~ aElementOf0(X133,X134)
| ~ aElementOf0(X134,xS)
| ~ aInteger0(X133) )
& ( ~ aElementOf0(X131,sbsmnsldt0(xS))
| aElementOf0(X131,esk19_1(X131)) )
& ( ~ aElementOf0(X131,sbsmnsldt0(xS))
| aElementOf0(esk19_1(X131),xS) )
& ( ~ aElementOf0(X131,sbsmnsldt0(xS))
| aInteger0(X131) )
& aSet0(sbsmnsldt0(xS)) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])])])])]) ).
cnf(c_0_46,hypothesis,
( sdtpldt0(sz10,smndt0(sz10)) != sz00
| esk26_1(sz10) = sz00 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_23])]),c_0_24]) ).
cnf(c_0_47,hypothesis,
esk1_2(sz00,xp) = sz00,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_43]),c_0_44]),c_0_23])]),c_0_24]) ).
cnf(c_0_48,hypothesis,
( ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
| aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_49,hypothesis,
stldt0(sbsmnsldt0(xS)) = cS2076,
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_50,hypothesis,
( X1 != smndt0(sz10)
| aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_51,negated_conjecture,
~ ( ( aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp)
| aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)))
| ? [X1] :
( sdtasdt0(xp,X1) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))
& aInteger0(X1) ) )
& ( aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp)
| aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
| ? [X1] :
( sdtasdt0(xp,X1) = sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10))
& aInteger0(X1) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_52,plain,
! [X11,X12,X13] :
( sdtpldt0(X11,sdtpldt0(X12,X13)) = sdtpldt0(sdtpldt0(X11,X12),X13)
| ~ aInteger0(X13)
| ~ aInteger0(X12)
| ~ aInteger0(X11) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])])]) ).
cnf(c_0_53,hypothesis,
esk26_1(sz10) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_31]),c_0_22])]) ).
cnf(c_0_54,hypothesis,
sdtasdt0(xp,sz00) = sz00,
inference(rw,[status(thm)],[c_0_43,c_0_47]) ).
cnf(c_0_55,hypothesis,
( ~ aElementOf0(X1,cS2076)
| aInteger0(X1) ),
inference(rw,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_56,hypothesis,
aElementOf0(smndt0(sz10),cS2076),
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_49])]) ).
fof(c_0_57,negated_conjecture,
! [X171,X172] :
( ( ~ aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( ~ aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp) )
& ( ~ aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))) )
& ( ~ aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| sdtasdt0(xp,X172) != sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))
| ~ aInteger0(X172) )
& ( ~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp)
| ~ aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( ~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp)
| ~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp) )
& ( ~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp)
| ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))) )
& ( ~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp)
| sdtasdt0(xp,X172) != sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))
| ~ aInteger0(X172) )
& ( ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
| ~ aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
| ~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp) )
& ( ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
| ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))) )
& ( ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
| sdtasdt0(xp,X172) != sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))
| ~ aInteger0(X172) )
& ( sdtasdt0(xp,X171) != sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10))
| ~ aInteger0(X171)
| ~ aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ( sdtasdt0(xp,X171) != sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10))
| ~ aInteger0(X171)
| ~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp) )
& ( sdtasdt0(xp,X171) != sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10))
| ~ aInteger0(X171)
| ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))) )
& ( sdtasdt0(xp,X171) != sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10))
| ~ aInteger0(X171)
| sdtasdt0(xp,X172) != sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))
| ~ aInteger0(X172) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])])])]) ).
cnf(c_0_58,plain,
( ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_59,hypothesis,
sdtpldt0(sz10,smndt0(sz10)) = sz00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_53]),c_0_54]) ).
cnf(c_0_60,hypothesis,
aInteger0(smndt0(sz10)),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
fof(c_0_61,plain,
! [X14,X15] :
( sdtpldt0(X14,X15) = sdtpldt0(X15,X14)
| ~ aInteger0(X15)
| ~ aInteger0(X14) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])])]) ).
cnf(c_0_62,negated_conjecture,
( ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
| sdtasdt0(xp,X1) != sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_63,hypothesis,
( ~ aInteger0(X1)
| sdtpldt0(sz10,sdtpldt0(smndt0(sz10),X1)) = sdtpldt0(sz00,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]),c_0_22])]) ).
cnf(c_0_64,plain,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
fof(c_0_65,plain,
! [X9,X10] :
( aInteger0(sdtasdt0(X9,X10))
| ~ aInteger0(X10)
| ~ aInteger0(X9) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntMult])])]) ).
cnf(c_0_66,negated_conjecture,
( ~ aInteger0(X1)
| ~ aDivisorOf0(xp,sdtpldt0(sz10,sdtpldt0(xp,smndt0(sz10))))
| sdtasdt0(xp,X1) != sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_58]),c_0_23]),c_0_22])]),c_0_60])]) ).
cnf(c_0_67,hypothesis,
( ~ aInteger0(X1)
| sdtpldt0(sz10,sdtpldt0(X1,smndt0(sz10))) = sdtpldt0(sz00,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_60])]) ).
fof(c_0_68,plain,
! [X16] :
( ( ~ aInteger0(X16)
| X16 = sdtpldt0(sz00,X16) )
& ( ~ aInteger0(X16)
| sdtpldt0(X16,sz00) = X16 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddZero])])])]) ).
cnf(c_0_69,plain,
( ~ aInteger0(X3)
| sdtasdt0(X1,X2) != X3
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| aDivisorOf0(X1,X3)
| X1 = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_70,plain,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| aInteger0(sdtasdt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
fof(c_0_71,plain,
! [X23] :
( ( ~ aInteger0(X23)
| X23 = sdtasdt0(sz10,X23) )
& ( ~ aInteger0(X23)
| sdtasdt0(X23,sz10) = X23 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulOne])])])]) ).
cnf(c_0_72,negated_conjecture,
( ~ aInteger0(X1)
| ~ aDivisorOf0(xp,sdtpldt0(sz00,xp))
| sdtasdt0(xp,X1) != sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_23])]) ).
cnf(c_0_73,plain,
( ~ aInteger0(X1)
| X1 = sdtpldt0(sz00,X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_74,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| aDivisorOf0(X1,sdtasdt0(X1,X2))
| X1 = sz00 ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_69]),c_0_70]) ).
cnf(c_0_75,plain,
( ~ aInteger0(X1)
| sdtasdt0(X1,sz10) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_76,negated_conjecture,
( ~ aInteger0(X1)
| ~ aDivisorOf0(xp,xp)
| sdtasdt0(xp,X1) != sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_23])]) ).
cnf(c_0_77,plain,
( ~ aInteger0(X1)
| aDivisorOf0(X1,X1)
| X1 = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_22])]) ).
cnf(c_0_78,negated_conjecture,
( ~ aInteger0(X1)
| sdtasdt0(xp,X1) != sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_23])]),c_0_24]) ).
fof(c_0_79,plain,
! [X6] :
( aInteger0(smndt0(X6))
| ~ aInteger0(X6) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntNeg])])]) ).
cnf(c_0_80,negated_conjecture,
( ~ aInteger0(X1)
| ~ aInteger0(smndt0(xp))
| sdtasdt0(xp,X1) != sdtpldt0(sz10,sdtpldt0(smndt0(xp),smndt0(sz10))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_58]),c_0_60]),c_0_22])]) ).
cnf(c_0_81,plain,
( ~ aInteger0(X1)
| aInteger0(smndt0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_82,negated_conjecture,
( ~ aInteger0(X1)
| sdtasdt0(xp,X1) != sdtpldt0(sz10,sdtpldt0(smndt0(xp),smndt0(sz10))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_23])]) ).
cnf(c_0_83,hypothesis,
( ~ aInteger0(X1)
| ~ aInteger0(smndt0(xp))
| sdtasdt0(xp,X1) != sdtpldt0(sz00,smndt0(xp)) ),
inference(spm,[status(thm)],[c_0_82,c_0_67]) ).
fof(c_0_84,plain,
! [X28] :
( ( ~ aInteger0(X28)
| smndt0(X28) = sdtasdt0(X28,smndt0(sz10)) )
& ( ~ aInteger0(X28)
| sdtasdt0(smndt0(sz10),X28) = smndt0(X28) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulMinOne])])])]) ).
cnf(c_0_85,hypothesis,
( ~ aInteger0(X1)
| sdtasdt0(xp,X1) != sdtpldt0(sz00,smndt0(xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_81]),c_0_23])]) ).
cnf(c_0_86,plain,
( ~ aInteger0(X1)
| smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_87,hypothesis,
sdtpldt0(sz00,smndt0(xp)) != smndt0(xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_60]),c_0_23])]) ).
cnf(c_0_88,hypothesis,
~ aInteger0(smndt0(xp)),
inference(spm,[status(thm)],[c_0_87,c_0_73]) ).
cnf(c_0_89,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_81]),c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM452+6 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n026.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 02:34:07 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 0.18/0.58 % Version: 3.5.1
% 0.18/0.58 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.58 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.58 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.58 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.58 % Starting sh5l with 300s (1) cores
% 0.18/0.58 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1174600 completed with status 0
% 0.18/0.58 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.18/0.58 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.58 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.58 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.18/0.58 % No SInE strategy applied
% 0.18/0.58 % Search class: FGHSF-FSLM31-MFFFFFNN
% 0.18/0.58 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.58 % Starting SubtermCWHack with 136s (1) cores
% 0.18/0.58 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.18/0.58 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.18/0.58 % Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.18/0.58 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 136s (1) cores
% 0.18/0.58 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1174609 completed with status 0
% 0.18/0.58 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.18/0.58 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.58 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.58 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.18/0.58 % No SInE strategy applied
% 0.18/0.58 % Search class: FGHSF-FSLM31-MFFFFFNN
% 0.18/0.58 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.58 % Starting SubtermCWHack with 136s (1) cores
% 0.18/0.58 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.18/0.58 % Preprocessing time : 0.003 s
% 0.18/0.58 % Presaturation interreduction done
% 0.18/0.58
% 0.18/0.58 % Proof found!
% 0.18/0.58 % SZS status Theorem
% 0.18/0.58 % SZS output start CNFRefutation
% See solution above
% 0.18/0.58 % Parsed axioms : 47
% 0.18/0.58 % Removed by relevancy pruning/SinE : 0
% 0.18/0.58 % Initial clauses : 232
% 0.18/0.58 % Removed in clause preprocessing : 5
% 0.18/0.58 % Initial clauses in saturation : 227
% 0.18/0.58 % Processed clauses : 1177
% 0.18/0.58 % ...of these trivial : 26
% 0.18/0.58 % ...subsumed : 348
% 0.18/0.58 % ...remaining for further processing : 803
% 0.18/0.58 % Other redundant clauses eliminated : 42
% 0.18/0.58 % Clauses deleted for lack of memory : 0
% 0.18/0.58 % Backward-subsumed : 60
% 0.18/0.58 % Backward-rewritten : 76
% 0.18/0.58 % Generated clauses : 2714
% 0.18/0.58 % ...of the previous two non-redundant : 2163
% 0.18/0.58 % ...aggressively subsumed : 0
% 0.18/0.58 % Contextual simplify-reflections : 9
% 0.18/0.58 % Paramodulations : 2669
% 0.18/0.58 % Factorizations : 3
% 0.18/0.58 % NegExts : 0
% 0.18/0.58 % Equation resolutions : 42
% 0.18/0.58 % Disequality decompositions : 0
% 0.18/0.58 % Total rewrite steps : 3097
% 0.18/0.58 % ...of those cached : 3034
% 0.18/0.58 % Propositional unsat checks : 0
% 0.18/0.58 % Propositional check models : 0
% 0.18/0.58 % Propositional check unsatisfiable : 0
% 0.18/0.58 % Propositional clauses : 0
% 0.18/0.58 % Propositional clauses after purity: 0
% 0.18/0.58 % Propositional unsat core size : 0
% 0.18/0.58 % Propositional preprocessing time : 0.000
% 0.18/0.58 % Propositional encoding time : 0.000
% 0.18/0.58 % Propositional solver time : 0.000
% 0.18/0.58 % Success case prop preproc time : 0.000
% 0.18/0.58 % Success case prop encoding time : 0.000
% 0.18/0.58 % Success case prop solver time : 0.000
% 0.18/0.58 % Current number of processed clauses : 423
% 0.18/0.58 % Positive orientable unit clauses : 61
% 0.18/0.58 % Positive unorientable unit clauses: 0
% 0.18/0.58 % Negative unit clauses : 14
% 0.18/0.58 % Non-unit-clauses : 348
% 0.18/0.58 % Current number of unprocessed clauses: 1335
% 0.18/0.58 % ...number of literals in the above : 6621
% 0.18/0.58 % Current number of archived formulas : 0
% 0.18/0.58 % Current number of archived clauses : 345
% 0.18/0.58 % Clause-clause subsumption calls (NU) : 19071
% 0.18/0.58 % Rec. Clause-clause subsumption calls : 7850
% 0.18/0.58 % Non-unit clause-clause subsumptions : 379
% 0.18/0.58 % Unit Clause-clause subsumption calls : 3473
% 0.18/0.58 % Rewrite failures with RHS unbound : 0
% 0.18/0.58 % BW rewrite match attempts : 44
% 0.18/0.58 % BW rewrite match successes : 17
% 0.18/0.58 % Condensation attempts : 0
% 0.18/0.58 % Condensation successes : 0
% 0.18/0.58 % Termbank termtop insertions : 67923
% 0.18/0.58 % Search garbage collected termcells : 3872
% 0.18/0.58
% 0.18/0.58 % -------------------------------------------------
% 0.18/0.58 % User time : 0.114 s
% 0.18/0.58 % System time : 0.008 s
% 0.18/0.58 % Total time : 0.122 s
% 0.18/0.58 % Maximum resident set size: 3972 pages
% 0.18/0.58
% 0.18/0.58 % -------------------------------------------------
% 0.18/0.58 % User time : 0.418 s
% 0.18/0.58 % System time : 0.043 s
% 0.18/0.58 % Total time : 0.462 s
% 0.18/0.58 % Maximum resident set size: 4608 pages
% 0.18/0.58 % E exiting
%------------------------------------------------------------------------------