%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM431+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 01:49:03 PM UTC 2026
% Result : Theorem 15.55s 2.71s
% Output : CNFRefutation 15.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 24
% Syntax : Number of formulae : 211 ( 100 unt; 0 def)
% Number of atoms : 484 ( 197 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 451 ( 178 ~; 172 |; 74 &)
% ( 4 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 160 ( 0 sgn 76 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__853,hypothesis,
( sdteqdtlpzmzozddtrp0(xb,xc,xq)
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& ? [X1] :
( sdtasdt0(xq,X1) = sdtpldt0(xb,smndt0(xc))
& aInteger0(X1) )
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& ? [X1] :
( sdtasdt0(xq,X1) = sdtpldt0(xa,smndt0(xb))
& aInteger0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__853) ).
fof(m__818,hypothesis,
( aInteger0(xc)
& xq != sz00
& aInteger0(xq)
& aInteger0(xb)
& aInteger0(xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__818) ).
fof(mMulAsso,axiom,
! [X1,X2,X3] :
( ( aInteger0(X3)
& aInteger0(X2)
& aInteger0(X1) )
=> sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(sdtasdt0(X1,X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(m__899,hypothesis,
( sdtasdt0(xq,xm) = sdtpldt0(xb,smndt0(xc))
& aInteger0(xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__899) ).
fof(mIntMult,axiom,
! [X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1) )
=> aInteger0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntMult) ).
fof(mMulMinOne,axiom,
! [X1] :
( aInteger0(X1)
=> ( smndt0(X1) = sdtasdt0(X1,smndt0(sz10))
& sdtasdt0(smndt0(sz10),X1) = smndt0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMinOne) ).
fof(mIntNeg,axiom,
! [X1] :
( aInteger0(X1)
=> aInteger0(smndt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntNeg) ).
fof(mEquModSym,axiom,
! [X1,X2,X3] :
( ( X3 != sz00
& aInteger0(X3)
& aInteger0(X2)
& aInteger0(X1) )
=> ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
=> sdteqdtlpzmzozddtrp0(X2,X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquModSym) ).
fof(mIntOne,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntOne) ).
fof(mEquMod,axiom,
! [X1,X2,X3] :
( ( X3 != sz00
& aInteger0(X3)
& aInteger0(X2)
& aInteger0(X1) )
=> ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
<=> aDivisorOf0(X3,sdtpldt0(X1,smndt0(X2))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquMod) ).
fof(mAddNeg,axiom,
! [X1] :
( aInteger0(X1)
=> ( sz00 = sdtpldt0(smndt0(X1),X1)
& sdtpldt0(X1,smndt0(X1)) = sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddNeg) ).
fof(mDivisor,axiom,
! [X1] :
( aInteger0(X1)
=> ! [X2] :
( aDivisorOf0(X2,X1)
<=> ( ? [X3] :
( sdtasdt0(X2,X3) = X1
& aInteger0(X3) )
& X2 != sz00
& aInteger0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivisor) ).
fof(mDistrib,axiom,
! [X1,X2,X3] :
( ( aInteger0(X3)
& aInteger0(X2)
& aInteger0(X1) )
=> ( sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3))
& sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistrib) ).
fof(mIntPlus,axiom,
! [X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1) )
=> aInteger0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntPlus) ).
fof(mZeroDiv,axiom,
! [X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X2 = sz00
| X1 = sz00 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroDiv) ).
fof(mMulZero,axiom,
! [X1] :
( aInteger0(X1)
=> ( sz00 = sdtasdt0(sz00,X1)
& sdtasdt0(X1,sz00) = sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
fof(mIntZero,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntZero) ).
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/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(mAddZero,axiom,
! [X1] :
( aInteger0(X1)
=> ( X1 = sdtpldt0(sz00,X1)
& sdtpldt0(X1,sz00) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
fof(mMulOne,axiom,
! [X1] :
( aInteger0(X1)
=> ( X1 = sdtasdt0(sz10,X1)
& sdtasdt0(X1,sz10) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulOne) ).
fof(m__876,hypothesis,
( sdtasdt0(xq,xn) = sdtpldt0(xa,smndt0(xb))
& aInteger0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__876) ).
fof(m__,conjecture,
sdtasdt0(xq,sdtpldt0(xn,xm)) = sdtpldt0(xa,smndt0(xc)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(c_0_24,hypothesis,
( sdteqdtlpzmzozddtrp0(xb,xc,xq)
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& sdtasdt0(xq,esk3_0) = sdtpldt0(xb,smndt0(xc))
& aInteger0(esk3_0)
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdtasdt0(xq,esk2_0) = sdtpldt0(xa,smndt0(xb))
& aInteger0(esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__853])]) ).
fof(c_0_25,hypothesis,
( aInteger0(xc)
& xq != sz00
& aInteger0(xq)
& aInteger0(xb)
& aInteger0(xa) ),
inference(fof_simplification,[status(thm)],[m__818]) ).
fof(c_0_26,plain,
! [X17,X18,X19] :
( sdtasdt0(X17,sdtasdt0(X18,X19)) = sdtasdt0(sdtasdt0(X17,X18),X19)
| ~ aInteger0(X19)
| ~ aInteger0(X18)
| ~ aInteger0(X17) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])])]) ).
cnf(c_0_27,hypothesis,
sdtasdt0(xq,esk3_0) = sdtpldt0(xb,smndt0(xc)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_28,hypothesis,
sdtasdt0(xq,xm) = sdtpldt0(xb,smndt0(xc)),
inference(split_conjunct,[status(thm)],[m__899]) ).
fof(c_0_29,hypothesis,
( aInteger0(xc)
& xq != sz00
& aInteger0(xq)
& aInteger0(xb)
& aInteger0(xa) ),
inference(fof_nnf,[status(thm)],[c_0_25]) ).
fof(c_0_30,plain,
! [X8,X9] :
( aInteger0(sdtasdt0(X8,X9))
| ~ aInteger0(X9)
| ~ aInteger0(X8) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntMult])])]) ).
fof(c_0_31,plain,
! [X27] :
( ( ~ aInteger0(X27)
| smndt0(X27) = sdtasdt0(X27,smndt0(sz10)) )
& ( ~ aInteger0(X27)
| sdtasdt0(smndt0(sz10),X27) = smndt0(X27) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulMinOne])])])]) ).
cnf(c_0_32,plain,
( ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(sdtasdt0(X1,X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,hypothesis,
sdtasdt0(xq,esk3_0) = sdtasdt0(xq,xm),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_34,hypothesis,
aInteger0(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_35,hypothesis,
aInteger0(xq),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,plain,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| aInteger0(sdtasdt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_37,plain,
( ~ aInteger0(X1)
| smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,hypothesis,
( ~ aInteger0(X1)
| sdtasdt0(sdtasdt0(xq,xm),X1) = sdtasdt0(xq,sdtasdt0(esk3_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_39,hypothesis,
aInteger0(sdtasdt0(xq,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_33]),c_0_34]),c_0_35])]) ).
fof(c_0_40,plain,
! [X5] :
( aInteger0(smndt0(X5))
| ~ aInteger0(X5) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntNeg])])]) ).
fof(c_0_41,plain,
! [X1,X2,X3] :
( ( X3 != sz00
& aInteger0(X3)
& aInteger0(X2)
& aInteger0(X1) )
=> ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
=> sdteqdtlpzmzozddtrp0(X2,X1,X3) ) ),
inference(fof_simplification,[status(thm)],[mEquModSym]) ).
cnf(c_0_42,hypothesis,
( ~ aInteger0(smndt0(sz10))
| sdtasdt0(xq,sdtasdt0(esk3_0,smndt0(sz10))) = smndt0(sdtasdt0(xq,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]) ).
cnf(c_0_43,plain,
( ~ aInteger0(X1)
| aInteger0(smndt0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_44,plain,
aInteger0(sz10),
inference(split_conjunct,[status(thm)],[mIntOne]) ).
fof(c_0_45,plain,
! [X1,X2,X3] :
( ( X3 != sz00
& aInteger0(X3)
& aInteger0(X2)
& aInteger0(X1) )
=> ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
<=> aDivisorOf0(X3,sdtpldt0(X1,smndt0(X2))) ) ),
inference(fof_simplification,[status(thm)],[mEquMod]) ).
fof(c_0_46,plain,
! [X40,X41,X42] :
( sdteqdtlpzmzozddtrp0(X41,X40,X42)
| ~ sdteqdtlpzmzozddtrp0(X40,X41,X42)
| X42 = sz00
| ~ aInteger0(X42)
| ~ aInteger0(X41)
| ~ aInteger0(X40) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])]) ).
fof(c_0_47,plain,
! [X16] :
( ( ~ aInteger0(X16)
| sz00 = sdtpldt0(smndt0(X16),X16) )
& ( ~ aInteger0(X16)
| sdtpldt0(X16,smndt0(X16)) = sz00 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddNeg])])])]) ).
cnf(c_0_48,hypothesis,
sdtasdt0(xq,sdtasdt0(esk3_0,smndt0(sz10))) = smndt0(sdtasdt0(xq,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]) ).
fof(c_0_49,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]) ).
fof(c_0_50,plain,
! [X35,X36,X37] :
( ( X37 = sz00
| ~ aInteger0(X37)
| ~ aInteger0(X36)
| ~ aInteger0(X35)
| sdteqdtlpzmzozddtrp0(X35,X36,X37)
| ~ aDivisorOf0(X37,sdtpldt0(X35,smndt0(X36))) )
& ( X37 = sz00
| ~ aInteger0(X37)
| ~ aInteger0(X36)
| ~ aInteger0(X35)
| aDivisorOf0(X37,sdtpldt0(X35,smndt0(X36)))
| ~ sdteqdtlpzmzozddtrp0(X35,X36,X37) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])]) ).
cnf(c_0_51,plain,
( ~ sdteqdtlpzmzozddtrp0(X1,X2,X3)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(X2,X1,X3)
| X3 = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_52,hypothesis,
sdteqdtlpzmzozddtrp0(xb,xc,xq),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_53,hypothesis,
aInteger0(xc),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_54,hypothesis,
aInteger0(xb),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_55,hypothesis,
xq != sz00,
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_56,plain,
! [X23,X24,X25] :
( ( ~ aInteger0(X25)
| ~ aInteger0(X24)
| ~ aInteger0(X23)
| sdtasdt0(sdtpldt0(X23,X24),X25) = sdtpldt0(sdtasdt0(X23,X25),sdtasdt0(X24,X25)) )
& ( ~ aInteger0(X25)
| ~ aInteger0(X24)
| ~ aInteger0(X23)
| sdtasdt0(X23,sdtpldt0(X24,X25)) = sdtpldt0(sdtasdt0(X23,X24),sdtasdt0(X23,X25)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDistrib])])])]) ).
cnf(c_0_57,plain,
( ~ aInteger0(X1)
| sz00 = sdtpldt0(smndt0(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_58,hypothesis,
smndt0(sdtasdt0(xq,xm)) = sdtasdt0(xq,smndt0(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_37]),c_0_34])]) ).
fof(c_0_59,plain,
! [X30,X31,X33,X34] :
( ( ~ aInteger0(X30)
| aDivisorOf0(X33,X30)
| sdtasdt0(X33,X34) != X30
| ~ aInteger0(X34)
| X33 = sz00
| ~ aInteger0(X33) )
& ( ~ aInteger0(X30)
| ~ aDivisorOf0(X31,X30)
| sdtasdt0(X31,esk1_2(X30,X31)) = X30 )
& ( ~ aInteger0(X30)
| ~ aDivisorOf0(X31,X30)
| aInteger0(esk1_2(X30,X31)) )
& ( ~ aInteger0(X30)
| ~ aDivisorOf0(X31,X30)
| X31 != sz00 )
& ( ~ aInteger0(X30)
| ~ aDivisorOf0(X31,X30)
| aInteger0(X31) ) ),
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_49])])])])])])]) ).
cnf(c_0_60,plain,
( ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ sdteqdtlpzmzozddtrp0(X1,X2,X3)
| X3 = sz00
| aDivisorOf0(X3,sdtpldt0(X1,smndt0(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_61,hypothesis,
sdteqdtlpzmzozddtrp0(xc,xb,xq),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_35]),c_0_53]),c_0_54])]),c_0_55]) ).
cnf(c_0_62,plain,
( ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_63,hypothesis,
sdtpldt0(sdtasdt0(xq,smndt0(esk3_0)),sdtasdt0(xq,xm)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_39])]) ).
cnf(c_0_64,hypothesis,
aInteger0(xm),
inference(split_conjunct,[status(thm)],[m__899]) ).
cnf(c_0_65,plain,
( ~ aInteger0(X2)
| ~ aDivisorOf0(X1,X2)
| sdtasdt0(X1,esk1_2(X2,X1)) = X2 ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_66,hypothesis,
aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_35]),c_0_54]),c_0_53])]),c_0_55]) ).
fof(c_0_67,plain,
! [X6,X7] :
( aInteger0(sdtpldt0(X6,X7))
| ~ aInteger0(X7)
| ~ aInteger0(X6) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntPlus])])]) ).
cnf(c_0_68,plain,
( ~ aInteger0(X1)
| ~ aDivisorOf0(X2,X1)
| aInteger0(esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
fof(c_0_69,plain,
! [X28,X29] :
( X29 = sz00
| X28 = sz00
| sdtasdt0(X28,X29) != sz00
| ~ aInteger0(X29)
| ~ aInteger0(X28) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroDiv])])]) ).
cnf(c_0_70,hypothesis,
( ~ aInteger0(smndt0(esk3_0))
| sdtasdt0(xq,sdtpldt0(smndt0(esk3_0),xm)) = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]),c_0_35])]) ).
cnf(c_0_71,hypothesis,
( ~ aInteger0(sdtpldt0(xc,smndt0(xb)))
| sdtasdt0(xq,esk1_2(sdtpldt0(xc,smndt0(xb)),xq)) = sdtpldt0(xc,smndt0(xb)) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_72,plain,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| aInteger0(sdtpldt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_73,hypothesis,
( ~ aInteger0(sdtpldt0(xc,smndt0(xb)))
| aInteger0(esk1_2(sdtpldt0(xc,smndt0(xb)),xq)) ),
inference(spm,[status(thm)],[c_0_68,c_0_66]) ).
cnf(c_0_74,plain,
( sdtasdt0(X1,X2) != sz00
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| X2 = sz00
| X1 = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_75,hypothesis,
sdtasdt0(xq,sdtpldt0(smndt0(esk3_0),xm)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_43]),c_0_34])]) ).
cnf(c_0_76,hypothesis,
( ~ aInteger0(smndt0(xb))
| sdtasdt0(xq,esk1_2(sdtpldt0(xc,smndt0(xb)),xq)) = sdtpldt0(xc,smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_53])]) ).
cnf(c_0_77,hypothesis,
( ~ aInteger0(smndt0(xb))
| aInteger0(esk1_2(sdtpldt0(xc,smndt0(xb)),xq)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_72]),c_0_53])]) ).
cnf(c_0_78,hypothesis,
( ~ aInteger0(sdtpldt0(smndt0(esk3_0),xm))
| sdtpldt0(smndt0(esk3_0),xm) = sz00 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_35])]),c_0_55]) ).
cnf(c_0_79,hypothesis,
sdtasdt0(xq,esk1_2(sdtpldt0(xc,smndt0(xb)),xq)) = sdtpldt0(xc,smndt0(xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_43]),c_0_54])]) ).
cnf(c_0_80,hypothesis,
aInteger0(esk1_2(sdtpldt0(xc,smndt0(xb)),xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_43]),c_0_54])]) ).
fof(c_0_81,plain,
! [X26] :
( ( ~ aInteger0(X26)
| sz00 = sdtasdt0(sz00,X26) )
& ( ~ aInteger0(X26)
| sdtasdt0(X26,sz00) = sz00 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulZero])])])]) ).
fof(c_0_82,plain,
! [X13,X14] :
( sdtpldt0(X13,X14) = sdtpldt0(X14,X13)
| ~ aInteger0(X14)
| ~ aInteger0(X13) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])])]) ).
cnf(c_0_83,hypothesis,
( ~ aInteger0(smndt0(esk3_0))
| sdtpldt0(smndt0(esk3_0),xm) = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_72]),c_0_64])]) ).
cnf(c_0_84,hypothesis,
( ~ aInteger0(X1)
| sdtasdt0(xq,sdtasdt0(esk1_2(sdtpldt0(xc,smndt0(xb)),xq),X1)) = sdtasdt0(sdtpldt0(xc,smndt0(xb)),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_79]),c_0_80]),c_0_35])]) ).
cnf(c_0_85,plain,
( ~ aInteger0(X1)
| sdtasdt0(X1,sz00) = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_86,plain,
aInteger0(sz00),
inference(split_conjunct,[status(thm)],[mIntZero]) ).
fof(c_0_87,plain,
! [X10,X11,X12] :
( sdtpldt0(X10,sdtpldt0(X11,X12)) = sdtpldt0(sdtpldt0(X10,X11),X12)
| ~ aInteger0(X12)
| ~ aInteger0(X11)
| ~ aInteger0(X10) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])])]) ).
cnf(c_0_88,plain,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_89,hypothesis,
sdtpldt0(smndt0(esk3_0),xm) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_43]),c_0_34])]) ).
cnf(c_0_90,hypothesis,
sdtasdt0(sdtpldt0(xc,smndt0(xb)),sz00) = sdtasdt0(xq,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]),c_0_80])]) ).
cnf(c_0_91,hypothesis,
aInteger0(sdtpldt0(xc,smndt0(xb))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_79]),c_0_80]),c_0_35])]) ).
cnf(c_0_92,plain,
( ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_93,hypothesis,
( ~ aInteger0(smndt0(esk3_0))
| sdtpldt0(xm,smndt0(esk3_0)) = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_64])]) ).
fof(c_0_94,plain,
! [X20,X21] :
( sdtasdt0(X20,X21) = sdtasdt0(X21,X20)
| ~ aInteger0(X21)
| ~ aInteger0(X20) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])])]) ).
cnf(c_0_95,hypothesis,
sdtasdt0(xq,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_90]),c_0_91])]) ).
cnf(c_0_96,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_57]),c_0_43]) ).
cnf(c_0_97,hypothesis,
sdtpldt0(xm,smndt0(esk3_0)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_43]),c_0_34])]) ).
cnf(c_0_98,plain,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_99,hypothesis,
sdtasdt0(sdtpldt0(xc,smndt0(xb)),sz00) = sz00,
inference(rw,[status(thm)],[c_0_90,c_0_95]) ).
cnf(c_0_100,plain,
( ~ aInteger0(X1)
| sz00 = sdtasdt0(sz00,X1) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
fof(c_0_101,plain,
! [X15] :
( ( ~ aInteger0(X15)
| X15 = sdtpldt0(sz00,X15) )
& ( ~ aInteger0(X15)
| sdtpldt0(X15,sz00) = X15 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddZero])])])]) ).
cnf(c_0_102,hypothesis,
( ~ aInteger0(smndt0(esk3_0))
| sdtpldt0(smndt0(xm),sz00) = sdtpldt0(sz00,smndt0(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_64])]) ).
cnf(c_0_103,hypothesis,
sdtasdt0(sz00,sdtpldt0(xc,smndt0(xb))) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_86]),c_0_91])]) ).
cnf(c_0_104,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtpldt0(sdtasdt0(sz00,X1),sz00) = sdtasdt0(sz00,sdtpldt0(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_100]),c_0_86])]) ).
cnf(c_0_105,plain,
( ~ aInteger0(X1)
| sdtpldt0(X1,sz00) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_106,hypothesis,
sdtpldt0(smndt0(xm),sz00) = sdtpldt0(sz00,smndt0(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_43]),c_0_34])]) ).
cnf(c_0_107,hypothesis,
( ~ aInteger0(smndt0(xb))
| sdtpldt0(sdtasdt0(sz00,xc),sz00) = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_53])]) ).
cnf(c_0_108,hypothesis,
( ~ aInteger0(smndt0(xm))
| sdtpldt0(sz00,smndt0(esk3_0)) = smndt0(xm) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
fof(c_0_109,plain,
! [X22] :
( ( ~ aInteger0(X22)
| X22 = sdtasdt0(sz10,X22) )
& ( ~ aInteger0(X22)
| sdtasdt0(X22,sz10) = X22 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulOne])])])]) ).
cnf(c_0_110,hypothesis,
sdtpldt0(sdtasdt0(sz00,xc),sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_43]),c_0_54])]) ).
cnf(c_0_111,plain,
( ~ aInteger0(X1)
| X1 = sdtpldt0(sz00,X1) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_112,hypothesis,
sdtpldt0(sz00,smndt0(esk3_0)) = smndt0(xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_43]),c_0_64])]) ).
cnf(c_0_113,plain,
( ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_114,plain,
( ~ aInteger0(X1)
| X1 = sdtasdt0(sz10,X1) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_115,hypothesis,
( ~ aInteger0(sdtasdt0(sz00,xc))
| sdtasdt0(sz00,xc) = sz00 ),
inference(spm,[status(thm)],[c_0_105,c_0_110]) ).
cnf(c_0_116,hypothesis,
( ~ aInteger0(smndt0(esk3_0))
| smndt0(esk3_0) = smndt0(xm) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_117,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtpldt0(sdtasdt0(X1,X2),X2) = sdtasdt0(sdtpldt0(X1,sz10),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_44])]) ).
cnf(c_0_118,hypothesis,
sdtasdt0(sz00,xc) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_36]),c_0_53]),c_0_86])]) ).
cnf(c_0_119,plain,
( ~ aInteger0(X1)
| sdtpldt0(X1,smndt0(X1)) = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_120,hypothesis,
smndt0(esk3_0) = smndt0(xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_43]),c_0_34])]) ).
cnf(c_0_121,hypothesis,
sdtasdt0(sdtpldt0(sz00,sz10),xc) = sdtpldt0(sz00,xc),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_53]),c_0_86])]) ).
cnf(c_0_122,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtpldt0(X1,sdtpldt0(smndt0(X1),X2)) = sdtpldt0(sz00,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_119]),c_0_43]) ).
cnf(c_0_123,hypothesis,
sdtpldt0(smndt0(xm),xm) = sz00,
inference(rw,[status(thm)],[c_0_89,c_0_120]) ).
cnf(c_0_124,hypothesis,
sdtpldt0(sz00,xc) = sdtasdt0(sz10,xc),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_111]),c_0_44])]) ).
cnf(c_0_125,hypothesis,
sdtpldt0(xm,sz00) = sdtpldt0(sz00,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_64])]) ).
cnf(c_0_126,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| aInteger0(sdtasdt0(X1,sdtasdt0(X2,X3))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_32]),c_0_36]) ).
cnf(c_0_127,hypothesis,
sdtasdt0(sz10,xc) = xc,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_124]),c_0_53])]) ).
cnf(c_0_128,hypothesis,
sdtasdt0(xq,sdtasdt0(esk3_0,sz00)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_38]),c_0_39]),c_0_86])]) ).
cnf(c_0_129,hypothesis,
sdtpldt0(smndt0(xm),esk3_0) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_120]),c_0_34])]) ).
cnf(c_0_130,hypothesis,
sdtpldt0(sz00,xm) = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_125]),c_0_64])]) ).
cnf(c_0_131,hypothesis,
( ~ aInteger0(X1)
| aInteger0(sdtasdt0(X1,xc)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_53]),c_0_44])]) ).
cnf(c_0_132,plain,
( ~ aInteger0(X1)
| sdtasdt0(smndt0(sz10),X1) = smndt0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_133,hypothesis,
( ~ aInteger0(sdtasdt0(esk3_0,sz00))
| sdtasdt0(esk3_0,sz00) = sz00 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_128]),c_0_35])]),c_0_55]) ).
cnf(c_0_134,hypothesis,
sdtpldt0(sz00,esk3_0) = xm,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_129]),c_0_34]),c_0_64])]),c_0_125]),c_0_130]) ).
cnf(c_0_135,hypothesis,
( ~ aInteger0(smndt0(sz10))
| aInteger0(smndt0(xc)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_53])]) ).
cnf(c_0_136,plain,
( ~ aInteger0(X1)
| sdtasdt0(X1,sz10) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_137,hypothesis,
sdtasdt0(esk3_0,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_36]),c_0_86]),c_0_34])]) ).
cnf(c_0_138,hypothesis,
esk3_0 = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_134]),c_0_34])]) ).
cnf(c_0_139,hypothesis,
( ~ aInteger0(X1)
| ~ aInteger0(smndt0(xc))
| sdtpldt0(xb,sdtpldt0(smndt0(xc),X1)) = sdtpldt0(sdtasdt0(xq,xm),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_28]),c_0_54])]) ).
cnf(c_0_140,hypothesis,
aInteger0(smndt0(xc)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_43]),c_0_44])]) ).
cnf(c_0_141,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtpldt0(sdtasdt0(X1,X2),X1) = sdtasdt0(X1,sdtpldt0(X2,sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_136]),c_0_44])]) ).
cnf(c_0_142,hypothesis,
sdtasdt0(xm,sz00) = sz00,
inference(rw,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_143,hypothesis,
( ~ aInteger0(X1)
| sdtpldt0(xb,sdtpldt0(smndt0(xc),X1)) = sdtpldt0(sdtasdt0(xq,xm),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_140])]) ).
cnf(c_0_144,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtpldt0(sdtasdt0(X1,sz00),sz00) = sdtasdt0(sdtpldt0(X1,X2),sz00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_85]),c_0_86])]) ).
cnf(c_0_145,plain,
( ~ aInteger0(smndt0(sz00))
| smndt0(sz00) = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_57]),c_0_86])]) ).
cnf(c_0_146,hypothesis,
sdtasdt0(xm,sdtpldt0(sz00,sz10)) = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_130]),c_0_86]),c_0_64])]) ).
cnf(c_0_147,hypothesis,
sdtpldt0(sdtasdt0(xq,xm),xc) = sdtpldt0(xb,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_57]),c_0_53])]) ).
cnf(c_0_148,hypothesis,
( ~ aInteger0(smndt0(xb))
| sdtpldt0(sdtasdt0(xc,sz00),sz00) = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_144]),c_0_53])]) ).
cnf(c_0_149,plain,
smndt0(sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_43]),c_0_86])]) ).
cnf(c_0_150,hypothesis,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(xq,sdtasdt0(xm,X2))) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xq,xm)),X2) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_38]),c_0_39])]),c_0_138]) ).
cnf(c_0_151,hypothesis,
sdtasdt0(xc,sz10) = xc,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_127]),c_0_53]),c_0_44])]) ).
cnf(c_0_152,hypothesis,
sdtasdt0(xm,sz10) = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_111]),c_0_44])]) ).
cnf(c_0_153,hypothesis,
sdtpldt0(xc,sdtasdt0(xq,xm)) = sdtpldt0(xb,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_147]),c_0_53]),c_0_39])]) ).
cnf(c_0_154,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtpldt0(sdtasdt0(X1,X2),sz00) = sdtasdt0(X1,sdtpldt0(X2,sz00)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_85]),c_0_86])]) ).
cnf(c_0_155,hypothesis,
sdtpldt0(sdtasdt0(xc,sz00),sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_43]),c_0_54])]) ).
cnf(c_0_156,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_149]),c_0_86])]) ).
cnf(c_0_157,hypothesis,
sdtasdt0(sdtpldt0(xb,sz00),sz10) = sdtpldt0(xb,sz00),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_152]),c_0_44]),c_0_53])]),c_0_153]),c_0_153]) ).
cnf(c_0_158,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtpldt0(X1,sdtasdt0(X1,X2)) = sdtasdt0(X1,sdtpldt0(sz10,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_136]),c_0_44])]) ).
cnf(c_0_159,hypothesis,
sdtasdt0(xc,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_156]),c_0_86]),c_0_53])]) ).
cnf(c_0_160,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtpldt0(sz00,sdtasdt0(X1,X2)) = sdtasdt0(X1,sdtpldt0(sz00,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_85]),c_0_86])]) ).
cnf(c_0_161,hypothesis,
sdtasdt0(xb,sz10) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_105]),c_0_54])]) ).
cnf(c_0_162,hypothesis,
( ~ aInteger0(X1)
| sdtpldt0(sdtasdt0(xq,X1),sdtasdt0(xq,xm)) = sdtasdt0(xq,sdtpldt0(X1,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_163,hypothesis,
sdtasdt0(xc,sdtpldt0(sz10,sz00)) = sdtpldt0(xc,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_86]),c_0_53])]) ).
cnf(c_0_164,hypothesis,
sdtasdt0(xc,sdtpldt0(sz00,sz10)) = xc,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_151]),c_0_124]),c_0_127]),c_0_44]),c_0_53])]) ).
cnf(c_0_165,hypothesis,
( ~ aInteger0(X1)
| aInteger0(sdtasdt0(X1,xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_161]),c_0_44]),c_0_54])]) ).
cnf(c_0_166,hypothesis,
sdtpldt0(sz00,sdtasdt0(xq,xm)) = sdtasdt0(xq,sdtpldt0(sz00,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_95]),c_0_86])]) ).
cnf(c_0_167,hypothesis,
sdtpldt0(xc,sz00) = xc,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_88]),c_0_164]),c_0_86]),c_0_44])]) ).
cnf(c_0_168,hypothesis,
sdtasdt0(xq,xn) = sdtpldt0(xa,smndt0(xb)),
inference(split_conjunct,[status(thm)],[m__876]) ).
cnf(c_0_169,hypothesis,
aInteger0(xa),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_170,hypothesis,
( ~ aInteger0(smndt0(sz10))
| aInteger0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_132]),c_0_54])]) ).
cnf(c_0_171,hypothesis,
sdtasdt0(xq,sdtpldt0(sz00,esk3_0)) = sdtasdt0(xq,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_166]),c_0_39])]) ).
cnf(c_0_172,hypothesis,
sdtpldt0(smndt0(xc),xc) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_167]),c_0_156]),c_0_86]),c_0_53])]) ).
cnf(c_0_173,hypothesis,
( ~ aInteger0(X1)
| ~ aInteger0(smndt0(xb))
| sdtpldt0(xa,sdtpldt0(smndt0(xb),X1)) = sdtpldt0(sdtasdt0(xq,xn),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_168]),c_0_169])]) ).
cnf(c_0_174,hypothesis,
aInteger0(smndt0(xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_43]),c_0_44])]) ).
cnf(c_0_175,hypothesis,
sdtasdt0(xq,esk2_0) = sdtpldt0(xa,smndt0(xb)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_176,hypothesis,
sdtpldt0(sz00,sdtasdt0(xq,xm)) = sdtasdt0(xq,xm),
inference(rw,[status(thm)],[c_0_166,c_0_171]) ).
cnf(c_0_177,hypothesis,
sdtpldt0(smndt0(smndt0(xc)),sz00) = xc,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_172]),c_0_124]),c_0_127]),c_0_53]),c_0_140])]) ).
cnf(c_0_178,hypothesis,
( ~ aInteger0(X1)
| sdtpldt0(xa,sdtpldt0(smndt0(xb),X1)) = sdtpldt0(sdtasdt0(xq,xn),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_174])]) ).
cnf(c_0_179,hypothesis,
sdtasdt0(xq,esk2_0) = sdtasdt0(xq,xn),
inference(rw,[status(thm)],[c_0_175,c_0_168]) ).
cnf(c_0_180,hypothesis,
aInteger0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_181,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtpldt0(X1,sdtpldt0(X2,sz00)) = sdtpldt0(X1,X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_92]),c_0_86])]),c_0_72]) ).
cnf(c_0_182,hypothesis,
sdtpldt0(smndt0(xc),sdtpldt0(xb,sz00)) = sdtasdt0(xq,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_153]),c_0_176]),c_0_39]),c_0_53])]) ).
cnf(c_0_183,hypothesis,
( ~ aInteger0(smndt0(smndt0(xc)))
| smndt0(smndt0(xc)) = xc ),
inference(spm,[status(thm)],[c_0_105,c_0_177]) ).
cnf(c_0_184,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtpldt0(sz00,sdtpldt0(X1,X2)) = sdtpldt0(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_111]),c_0_86])]) ).
cnf(c_0_185,hypothesis,
sdtpldt0(sdtasdt0(xq,xn),xb) = sdtpldt0(xa,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_57]),c_0_54])]) ).
cnf(c_0_186,hypothesis,
aInteger0(sdtasdt0(xq,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_179]),c_0_180]),c_0_35])]) ).
cnf(c_0_187,hypothesis,
sdtpldt0(sdtasdt0(xq,xn),sdtasdt0(xq,xm)) = sdtasdt0(xq,sdtpldt0(esk2_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_179]),c_0_180])]) ).
cnf(c_0_188,hypothesis,
aInteger0(xn),
inference(split_conjunct,[status(thm)],[m__876]) ).
cnf(c_0_189,hypothesis,
sdtpldt0(smndt0(xc),xb) = sdtasdt0(xq,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_54]),c_0_140])]) ).
cnf(c_0_190,hypothesis,
smndt0(smndt0(xc)) = xc,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_43]),c_0_140])]) ).
cnf(c_0_191,hypothesis,
sdtpldt0(sz00,sdtpldt0(xa,sz00)) = sdtpldt0(xa,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_54]),c_0_186])]) ).
cnf(c_0_192,hypothesis,
sdtasdt0(xq,sdtpldt0(esk2_0,esk3_0)) = sdtasdt0(xq,sdtpldt0(xn,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_187]),c_0_64]),c_0_188]),c_0_35])]) ).
cnf(c_0_193,hypothesis,
sdtpldt0(xb,sz00) = sdtpldt0(sz00,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_189]),c_0_190]),c_0_153]),c_0_54]),c_0_140])]) ).
cnf(c_0_194,hypothesis,
sdtpldt0(sz00,xa) = xa,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_105]),c_0_169])]) ).
cnf(c_0_195,hypothesis,
sdtpldt0(sdtasdt0(xq,xn),sdtasdt0(xq,xm)) = sdtasdt0(xq,sdtpldt0(xn,xm)),
inference(rw,[status(thm)],[c_0_187,c_0_192]) ).
cnf(c_0_196,hypothesis,
sdtpldt0(sz00,xb) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_193]),c_0_54])]) ).
cnf(c_0_197,hypothesis,
sdtpldt0(xa,sz00) = xa,
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_191]),c_0_169]),c_0_86])]),c_0_194]) ).
cnf(c_0_198,hypothesis,
( ~ aInteger0(X1)
| sdtpldt0(sdtasdt0(xq,xn),sdtpldt0(sdtasdt0(xq,xm),X1)) = sdtpldt0(sdtasdt0(xq,sdtpldt0(xn,xm)),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_195]),c_0_39]),c_0_186])]) ).
cnf(c_0_199,hypothesis,
sdtpldt0(sdtasdt0(xq,xm),xc) = xb,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_193]),c_0_196]) ).
cnf(c_0_200,hypothesis,
sdtpldt0(sdtasdt0(xq,xn),xb) = xa,
inference(rw,[status(thm)],[c_0_185,c_0_197]) ).
fof(c_0_201,negated_conjecture,
sdtasdt0(xq,sdtpldt0(xn,xm)) != sdtpldt0(xa,smndt0(xc)),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_202,hypothesis,
sdtpldt0(sdtasdt0(xq,sdtpldt0(xn,xm)),xc) = xa,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_200]),c_0_53])]) ).
cnf(c_0_203,hypothesis,
aInteger0(sdtasdt0(xq,sdtpldt0(xn,xm))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_195]),c_0_39]),c_0_186])]) ).
fof(c_0_204,negated_conjecture,
sdtasdt0(xq,sdtpldt0(xn,xm)) != sdtpldt0(xa,smndt0(xc)),
inference(fof_simplification,[status(thm)],[c_0_201]) ).
cnf(c_0_205,hypothesis,
sdtpldt0(xc,sdtasdt0(xq,sdtpldt0(xn,xm))) = xa,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_202]),c_0_53]),c_0_203])]) ).
cnf(c_0_206,hypothesis,
sdtpldt0(sz00,sdtasdt0(xq,sdtpldt0(xn,xm))) = sdtasdt0(xq,sdtpldt0(xn,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_195]),c_0_39]),c_0_186])]) ).
fof(c_0_207,negated_conjecture,
sdtasdt0(xq,sdtpldt0(xn,xm)) != sdtpldt0(xa,smndt0(xc)),
inference(fof_nnf,[status(thm)],[c_0_204]) ).
cnf(c_0_208,hypothesis,
sdtpldt0(smndt0(xc),xa) = sdtasdt0(xq,sdtpldt0(xn,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_205]),c_0_206]),c_0_203]),c_0_53])]) ).
cnf(c_0_209,negated_conjecture,
sdtasdt0(xq,sdtpldt0(xn,xm)) != sdtpldt0(xa,smndt0(xc)),
inference(split_conjunct,[status(thm)],[c_0_207]) ).
cnf(c_0_210,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_208]),c_0_169]),c_0_140])]),c_0_209]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM431+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 02:28:42 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 15.55/2.71 % Version: 3.5.1
% 15.55/2.71 % Preprocessing class: FSMSSMSMSSSNFFN.
% 15.55/2.71 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.55/2.71 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 15.55/2.71 % Starting new_bool_3 with 300s (1) cores
% 15.55/2.71 % Starting new_bool_1 with 300s (1) cores
% 15.55/2.71 % Starting sh5l with 300s (1) cores
% 15.55/2.71 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 1809352 completed with status 0
% 15.55/2.71 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 15.55/2.71 % Preprocessing class: FSMSSMSMSSSNFFN.
% 15.55/2.71 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.55/2.71 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 15.55/2.71 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 15.55/2.71 % No SInE strategy applied
% 15.55/2.71 % Search class: FGHSF-FFMM21-SFFFFFNN
% 15.55/2.71 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 15.55/2.71 % Starting SubtermCWHack with 136s (1) cores
% 15.55/2.71 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 15.55/2.71 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 136s (1) cores
% 15.55/2.71 % Starting G-E--_208_C18_F1_AE_CS_SP_PS_S3S with 136s (1) cores
% 15.55/2.71 % Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S2S with 136s (1) cores
% 15.55/2.71 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with pid 1809358 completed with status 0
% 15.55/2.71 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m
% 15.55/2.71 % Preprocessing class: FSMSSMSMSSSNFFN.
% 15.55/2.71 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.55/2.71 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 15.55/2.71 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 15.55/2.71 % No SInE strategy applied
% 15.55/2.71 % Search class: FGHSF-FFMM21-SFFFFFNN
% 15.55/2.71 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 15.55/2.71 % Starting SubtermCWHack with 136s (1) cores
% 15.55/2.71 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 15.55/2.71 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 136s (1) cores
% 15.55/2.71 % Preprocessing time : 0.001 s
% 15.55/2.71 % Presaturation interreduction done
% 15.55/2.71
% 15.55/2.71 % Proof found!
% 15.55/2.71 % SZS status Theorem
% 15.55/2.71 % SZS output start CNFRefutation
% See solution above
% 15.55/2.71 % Parsed axioms : 26
% 15.55/2.71 % Removed by relevancy pruning/SinE : 0
% 15.55/2.71 % Initial clauses : 50
% 15.55/2.71 % Removed in clause preprocessing : 1
% 15.55/2.71 % Initial clauses in saturation : 49
% 15.55/2.71 % Processed clauses : 7617
% 15.55/2.71 % ...of these trivial : 1405
% 15.55/2.71 % ...subsumed : 2927
% 15.55/2.71 % ...remaining for further processing : 3285
% 15.55/2.71 % Other redundant clauses eliminated : 3
% 15.55/2.71 % Clauses deleted for lack of memory : 0
% 15.55/2.71 % Backward-subsumed : 16
% 15.55/2.71 % Backward-rewritten : 685
% 15.55/2.71 % Generated clauses : 124970
% 15.55/2.71 % ...of the previous two non-redundant : 110568
% 15.55/2.71 % ...aggressively subsumed : 0
% 15.55/2.71 % Contextual simplify-reflections : 169
% 15.55/2.71 % Paramodulations : 124967
% 15.55/2.71 % Factorizations : 0
% 15.55/2.71 % NegExts : 0
% 15.55/2.71 % Equation resolutions : 3
% 15.55/2.71 % Disequality decompositions : 0
% 15.55/2.71 % Total rewrite steps : 200510
% 15.55/2.71 % ...of those cached : 198826
% 15.55/2.71 % Propositional unsat checks : 0
% 15.55/2.71 % Propositional check models : 0
% 15.55/2.71 % Propositional check unsatisfiable : 0
% 15.55/2.71 % Propositional clauses : 0
% 15.55/2.71 % Propositional clauses after purity: 0
% 15.55/2.71 % Propositional unsat core size : 0
% 15.55/2.71 % Propositional preprocessing time : 0.000
% 15.55/2.71 % Propositional encoding time : 0.000
% 15.55/2.71 % Propositional solver time : 0.000
% 15.55/2.71 % Success case prop preproc time : 0.000
% 15.55/2.71 % Success case prop encoding time : 0.000
% 15.55/2.71 % Success case prop solver time : 0.000
% 15.55/2.71 % Current number of processed clauses : 2533
% 15.55/2.71 % Positive orientable unit clauses : 1606
% 15.55/2.71 % Positive unorientable unit clauses: 0
% 15.55/2.71 % Negative unit clauses : 2
% 15.55/2.71 % Non-unit-clauses : 925
% 15.55/2.71 % Current number of unprocessed clauses: 101893
% 15.55/2.71 % ...number of literals in the above : 304697
% 15.55/2.71 % Current number of archived formulas : 0
% 15.55/2.71 % Current number of archived clauses : 750
% 15.55/2.71 % Clause-clause subsumption calls (NU) : 86231
% 15.55/2.71 % Rec. Clause-clause subsumption calls : 68622
% 15.55/2.71 % Non-unit clause-clause subsumptions : 3103
% 15.55/2.71 % Unit Clause-clause subsumption calls : 2512
% 15.55/2.71 % Rewrite failures with RHS unbound : 0
% 15.55/2.71 % BW rewrite match attempts : 9691
% 15.55/2.71 % BW rewrite match successes : 310
% 15.55/2.71 % Condensation attempts : 0
% 15.55/2.71 % Condensation successes : 0
% 15.55/2.71 % Termbank termtop insertions : 3313269
% 15.55/2.71 % Search garbage collected termcells : 469
% 15.55/2.71
% 15.55/2.71 % -------------------------------------------------
% 15.55/2.71 % User time : 2.085 s
% 15.55/2.71 % System time : 0.110 s
% 15.55/2.71 % Total time : 2.195 s
% 15.55/2.71 % Maximum resident set size: 3660 pages
% 15.55/2.71
% 15.55/2.71 % -------------------------------------------------
% 15.55/2.71 % User time : 10.251 s
% 15.55/2.71 % System time : 0.649 s
% 15.55/2.71 % Total time : 10.900 s
% 15.55/2.71 % Maximum resident set size: 4608 pages
% 15.55/2.71 % E exiting
%------------------------------------------------------------------------------