TSTP Solution File: NUM436+3 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM436+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 09:32:25 EDT 2022
% Result : Theorem 0.22s 1.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 11
% Syntax : Number of formulae : 84 ( 43 unt; 0 def)
% Number of atoms : 214 ( 67 equ)
% Maximal formula atoms : 24 ( 2 avg)
% Number of connectives : 229 ( 99 ~; 82 |; 41 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 51 ( 1 sgn 28 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__1003,hypothesis,
( sdtasdt0(xp,xq) != sz00
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(sdtasdt0(xp,xq),X1) = sdtpldt0(xa,smndt0(xb)) )
& aDivisorOf0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,sdtasdt0(xp,xq)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1003) ).
fof(m__1071,hypothesis,
( sdtasdt0(xp,sdtasdt0(xq,xm)) = sdtpldt0(xa,smndt0(xb))
& sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sdtasdt0(xp,xm)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1071) ).
fof(mMulAsso,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3) )
=> sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(sdtasdt0(X1,X2),X3) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulAsso) ).
fof(m__979,hypothesis,
( aInteger0(xa)
& aInteger0(xb)
& aInteger0(xp)
& xp != sz00
& aInteger0(xq)
& xq != sz00 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__979) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulComm) ).
fof(m__1032,hypothesis,
( aInteger0(xm)
& sdtasdt0(sdtasdt0(xp,xq),xm) = sdtpldt0(xa,smndt0(xb)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1032) ).
fof(m__,conjecture,
( ( ? [X1] :
( aInteger0(X1)
& sdtasdt0(xp,X1) = sdtpldt0(xa,smndt0(xb)) )
| aDivisorOf0(xp,sdtpldt0(xa,smndt0(xb)))
| sdteqdtlpzmzozddtrp0(xa,xb,xp) )
& ( ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(xa,smndt0(xb)) )
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
| sdteqdtlpzmzozddtrp0(xa,xb,xq) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(mIntPlus,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> aInteger0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIntPlus) ).
fof(mIntNeg,axiom,
! [X1] :
( aInteger0(X1)
=> aInteger0(smndt0(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIntNeg) ).
fof(mDivisor,axiom,
! [X1] :
( aInteger0(X1)
=> ! [X2] :
( aDivisorOf0(X2,X1)
<=> ( aInteger0(X2)
& X2 != sz00
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X2,X3) = X1 ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDivisor) ).
fof(mIntMult,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> aInteger0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIntMult) ).
fof(c_0_11,hypothesis,
( sdtasdt0(xp,xq) != sz00
& aInteger0(esk1_0)
& sdtasdt0(sdtasdt0(xp,xq),esk1_0) = sdtpldt0(xa,smndt0(xb))
& aDivisorOf0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,sdtasdt0(xp,xq)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[m__1003])])])]) ).
cnf(c_0_12,hypothesis,
sdtasdt0(xp,sdtasdt0(xq,xm)) = sdtpldt0(xa,smndt0(xb)),
inference(split_conjunct,[status(thm)],[m__1071]) ).
cnf(c_0_13,hypothesis,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sdtasdt0(xp,xm)),
inference(split_conjunct,[status(thm)],[m__1071]) ).
cnf(c_0_14,hypothesis,
sdtasdt0(sdtasdt0(xp,xq),esk1_0) = sdtpldt0(xa,smndt0(xb)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,hypothesis,
sdtasdt0(xq,sdtasdt0(xp,xm)) = sdtasdt0(xp,sdtasdt0(xq,xm)),
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_16,plain,
! [X4,X5,X6] :
( ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6)
| sdtasdt0(X4,sdtasdt0(X5,X6)) = sdtasdt0(sdtasdt0(X4,X5),X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).
cnf(c_0_17,hypothesis,
sdtasdt0(sdtasdt0(xp,xq),esk1_0) = sdtasdt0(xp,sdtasdt0(xq,xm)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_13]),c_0_15]) ).
cnf(c_0_18,plain,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(sdtasdt0(X1,X2),X3)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,hypothesis,
aInteger0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,hypothesis,
aInteger0(xq),
inference(split_conjunct,[status(thm)],[m__979]) ).
cnf(c_0_21,hypothesis,
aInteger0(xp),
inference(split_conjunct,[status(thm)],[m__979]) ).
fof(c_0_22,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| sdtasdt0(X3,X4) = sdtasdt0(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
cnf(c_0_23,hypothesis,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xp,sdtasdt0(xq,xm)),
inference(rw,[status(thm)],[c_0_13,c_0_15]) ).
cnf(c_0_24,hypothesis,
sdtasdt0(xp,sdtasdt0(xq,xm)) = sdtasdt0(xp,sdtasdt0(xq,esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20]),c_0_21])]) ).
cnf(c_0_25,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,hypothesis,
aInteger0(xm),
inference(split_conjunct,[status(thm)],[m__1032]) ).
cnf(c_0_27,hypothesis,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xp,sdtasdt0(xq,esk1_0)),
inference(rw,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,hypothesis,
sdtasdt0(xp,sdtasdt0(xq,esk1_0)) = sdtasdt0(xp,sdtasdt0(xm,xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_20])]) ).
cnf(c_0_29,hypothesis,
sdtasdt0(sdtasdt0(xp,xq),xm) = sdtpldt0(xa,smndt0(xb)),
inference(split_conjunct,[status(thm)],[m__1032]) ).
fof(c_0_30,negated_conjecture,
~ ( ( ? [X1] :
( aInteger0(X1)
& sdtasdt0(xp,X1) = sdtpldt0(xa,smndt0(xb)) )
| aDivisorOf0(xp,sdtpldt0(xa,smndt0(xb)))
| sdteqdtlpzmzozddtrp0(xa,xb,xp) )
& ( ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(xa,smndt0(xb)) )
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
| sdteqdtlpzmzozddtrp0(xa,xb,xq) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_31,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| aInteger0(sdtpldt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntPlus])]) ).
cnf(c_0_32,hypothesis,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xp,sdtasdt0(xm,xq)),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,hypothesis,
sdtasdt0(xp,sdtasdt0(xm,xq)) = sdtasdt0(xp,sdtasdt0(esk1_0,xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_25]),c_0_19]),c_0_20])]) ).
cnf(c_0_34,hypothesis,
sdtasdt0(sdtasdt0(xp,xq),xm) = sdtasdt0(xp,sdtasdt0(xq,xm)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_13]),c_0_15]) ).
fof(c_0_35,negated_conjecture,
! [X2,X3] :
( ( ~ aInteger0(X3)
| sdtasdt0(xq,X3) != sdtpldt0(xa,smndt0(xb))
| ~ aInteger0(X2)
| sdtasdt0(xp,X2) != sdtpldt0(xa,smndt0(xb)) )
& ( ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
| ~ aInteger0(X2)
| sdtasdt0(xp,X2) != sdtpldt0(xa,smndt0(xb)) )
& ( ~ sdteqdtlpzmzozddtrp0(xa,xb,xq)
| ~ aInteger0(X2)
| sdtasdt0(xp,X2) != sdtpldt0(xa,smndt0(xb)) )
& ( ~ aInteger0(X3)
| sdtasdt0(xq,X3) != sdtpldt0(xa,smndt0(xb))
| ~ aDivisorOf0(xp,sdtpldt0(xa,smndt0(xb))) )
& ( ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
| ~ aDivisorOf0(xp,sdtpldt0(xa,smndt0(xb))) )
& ( ~ sdteqdtlpzmzozddtrp0(xa,xb,xq)
| ~ aDivisorOf0(xp,sdtpldt0(xa,smndt0(xb))) )
& ( ~ aInteger0(X3)
| sdtasdt0(xq,X3) != sdtpldt0(xa,smndt0(xb))
| ~ sdteqdtlpzmzozddtrp0(xa,xb,xp) )
& ( ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
| ~ sdteqdtlpzmzozddtrp0(xa,xb,xp) )
& ( ~ sdteqdtlpzmzozddtrp0(xa,xb,xq)
| ~ sdteqdtlpzmzozddtrp0(xa,xb,xp) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])])])]) ).
cnf(c_0_36,hypothesis,
sdtasdt0(sdtasdt0(xp,xq),esk1_0) = sdtasdt0(xp,sdtasdt0(xq,esk1_0)),
inference(rw,[status(thm)],[c_0_17,c_0_24]) ).
cnf(c_0_37,hypothesis,
aDivisorOf0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_38,plain,
( aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,hypothesis,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xp,sdtasdt0(esk1_0,xq)),
inference(rw,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,hypothesis,
aInteger0(xa),
inference(split_conjunct,[status(thm)],[m__979]) ).
fof(c_0_41,plain,
! [X2] :
( ~ aInteger0(X2)
| aInteger0(smndt0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntNeg])]) ).
cnf(c_0_42,hypothesis,
sdtasdt0(sdtasdt0(xp,xq),xm) = sdtasdt0(xp,sdtasdt0(xq,esk1_0)),
inference(rw,[status(thm)],[c_0_34,c_0_24]) ).
cnf(c_0_43,negated_conjecture,
( ~ aDivisorOf0(xp,sdtpldt0(xa,smndt0(xb)))
| ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb))) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_44,hypothesis,
sdtasdt0(xq,sdtasdt0(xm,xp)) = sdtasdt0(xp,sdtasdt0(xq,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_25]),c_0_21]),c_0_26])]) ).
cnf(c_0_45,hypothesis,
sdtasdt0(sdtasdt0(xp,xq),esk1_0) = sdtasdt0(xp,sdtasdt0(xm,xq)),
inference(rw,[status(thm)],[c_0_36,c_0_28]) ).
fof(c_0_46,plain,
! [X4,X5,X5,X7] :
( ( aInteger0(X5)
| ~ aDivisorOf0(X5,X4)
| ~ aInteger0(X4) )
& ( X5 != sz00
| ~ aDivisorOf0(X5,X4)
| ~ aInteger0(X4) )
& ( aInteger0(esk2_2(X4,X5))
| ~ aDivisorOf0(X5,X4)
| ~ aInteger0(X4) )
& ( sdtasdt0(X5,esk2_2(X4,X5)) = X4
| ~ aDivisorOf0(X5,X4)
| ~ aInteger0(X4) )
& ( ~ aInteger0(X5)
| X5 = sz00
| ~ aInteger0(X7)
| sdtasdt0(X5,X7) != X4
| aDivisorOf0(X5,X4)
| ~ aInteger0(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivisor])])])])])])]) ).
cnf(c_0_47,hypothesis,
aDivisorOf0(sdtasdt0(xp,xq),sdtasdt0(xp,sdtasdt0(xq,xm))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_13]),c_0_15]) ).
cnf(c_0_48,hypothesis,
( aInteger0(sdtasdt0(xp,sdtasdt0(esk1_0,xq)))
| ~ aInteger0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).
cnf(c_0_49,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_50,hypothesis,
aInteger0(xb),
inference(split_conjunct,[status(thm)],[m__979]) ).
cnf(c_0_51,hypothesis,
sdtasdt0(sdtasdt0(xp,xq),xm) = sdtasdt0(xp,sdtasdt0(xm,xq)),
inference(rw,[status(thm)],[c_0_42,c_0_28]) ).
cnf(c_0_52,negated_conjecture,
( ~ aDivisorOf0(xp,sdtasdt0(xp,sdtasdt0(xq,xm)))
| ~ aDivisorOf0(xq,sdtasdt0(xp,sdtasdt0(xq,xm))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_13]),c_0_13]),c_0_15]),c_0_15]) ).
cnf(c_0_53,hypothesis,
sdtasdt0(xq,sdtasdt0(xm,xp)) = sdtasdt0(xp,sdtasdt0(xq,esk1_0)),
inference(rw,[status(thm)],[c_0_44,c_0_24]) ).
cnf(c_0_54,hypothesis,
sdtasdt0(sdtasdt0(xp,xq),esk1_0) = sdtasdt0(xp,sdtasdt0(esk1_0,xq)),
inference(rw,[status(thm)],[c_0_45,c_0_33]) ).
cnf(c_0_55,plain,
( aInteger0(X2)
| ~ aInteger0(X1)
| ~ aDivisorOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_56,hypothesis,
aDivisorOf0(sdtasdt0(xp,xq),sdtasdt0(xp,sdtasdt0(esk1_0,xq))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_24]),c_0_28]),c_0_33]) ).
cnf(c_0_57,hypothesis,
aInteger0(sdtasdt0(xp,sdtasdt0(esk1_0,xq))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50])]) ).
cnf(c_0_58,hypothesis,
sdtasdt0(sdtasdt0(xp,xq),xm) = sdtasdt0(xp,sdtasdt0(esk1_0,xq)),
inference(rw,[status(thm)],[c_0_51,c_0_33]) ).
cnf(c_0_59,negated_conjecture,
( ~ aDivisorOf0(xp,sdtasdt0(xp,sdtasdt0(xq,esk1_0)))
| ~ aDivisorOf0(xq,sdtasdt0(xp,sdtasdt0(xq,esk1_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_24]),c_0_24]) ).
cnf(c_0_60,hypothesis,
sdtasdt0(xq,sdtasdt0(xm,xp)) = sdtasdt0(xp,sdtasdt0(xm,xq)),
inference(rw,[status(thm)],[c_0_53,c_0_28]) ).
cnf(c_0_61,hypothesis,
( sdtasdt0(xp,sdtasdt0(esk1_0,xq)) = sdtasdt0(esk1_0,sdtasdt0(xp,xq))
| ~ aInteger0(sdtasdt0(xp,xq)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_54]),c_0_19])]) ).
cnf(c_0_62,hypothesis,
aInteger0(sdtasdt0(xp,xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57])]) ).
cnf(c_0_63,hypothesis,
( sdtasdt0(xp,sdtasdt0(esk1_0,xq)) = sdtasdt0(xm,sdtasdt0(xp,xq))
| ~ aInteger0(sdtasdt0(xp,xq)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_58]),c_0_26])]) ).
cnf(c_0_64,negated_conjecture,
( ~ aDivisorOf0(xp,sdtasdt0(xp,sdtasdt0(esk1_0,xq)))
| ~ aDivisorOf0(xq,sdtasdt0(xp,sdtasdt0(esk1_0,xq))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_25]),c_0_19]),c_0_20])]) ).
cnf(c_0_65,hypothesis,
sdtasdt0(xq,sdtasdt0(xm,xp)) = sdtasdt0(xp,sdtasdt0(esk1_0,xq)),
inference(rw,[status(thm)],[c_0_60,c_0_33]) ).
cnf(c_0_66,hypothesis,
sdtasdt0(xp,sdtasdt0(esk1_0,xq)) = sdtasdt0(esk1_0,sdtasdt0(xp,xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_62])]) ).
fof(c_0_67,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| aInteger0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntMult])]) ).
cnf(c_0_68,hypothesis,
( sdtasdt0(xm,sdtasdt0(xp,xq)) = sdtasdt0(esk1_0,sdtasdt0(xp,xq))
| ~ aInteger0(sdtasdt0(xp,xq)) ),
inference(spm,[status(thm)],[c_0_61,c_0_63]) ).
cnf(c_0_69,negated_conjecture,
( ~ aDivisorOf0(xp,sdtasdt0(esk1_0,sdtasdt0(xp,xq)))
| ~ aDivisorOf0(xq,sdtasdt0(esk1_0,sdtasdt0(xp,xq)))
| ~ aInteger0(sdtasdt0(xp,xq)) ),
inference(spm,[status(thm)],[c_0_64,c_0_61]) ).
cnf(c_0_70,plain,
( aDivisorOf0(X2,X1)
| X2 = sz00
| ~ aInteger0(X1)
| sdtasdt0(X2,X3) != X1
| ~ aInteger0(X3)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_71,hypothesis,
sdtasdt0(xq,sdtasdt0(xm,xp)) = sdtasdt0(esk1_0,sdtasdt0(xp,xq)),
inference(rw,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_72,hypothesis,
xq != sz00,
inference(split_conjunct,[status(thm)],[m__979]) ).
cnf(c_0_73,plain,
( aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_74,hypothesis,
sdtasdt0(xm,sdtasdt0(xp,xq)) = sdtasdt0(esk1_0,sdtasdt0(xp,xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_62])]) ).
cnf(c_0_75,negated_conjecture,
( ~ aDivisorOf0(xp,sdtasdt0(esk1_0,sdtasdt0(xp,xq)))
| ~ aDivisorOf0(xq,sdtasdt0(esk1_0,sdtasdt0(xp,xq))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_62])]) ).
cnf(c_0_76,hypothesis,
( aDivisorOf0(xq,X1)
| sdtasdt0(esk1_0,sdtasdt0(xp,xq)) != X1
| ~ aInteger0(sdtasdt0(xm,xp))
| ~ aInteger0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_20])]),c_0_72]) ).
cnf(c_0_77,hypothesis,
aInteger0(sdtasdt0(esk1_0,sdtasdt0(xp,xq))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_62]),c_0_26])]) ).
cnf(c_0_78,hypothesis,
xp != sz00,
inference(split_conjunct,[status(thm)],[m__979]) ).
cnf(c_0_79,negated_conjecture,
( ~ aDivisorOf0(xp,sdtasdt0(esk1_0,sdtasdt0(xp,xq)))
| ~ aInteger0(sdtasdt0(xm,xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77])]) ).
cnf(c_0_80,hypothesis,
( aDivisorOf0(xp,X1)
| sdtasdt0(esk1_0,sdtasdt0(xp,xq)) != X1
| ~ aInteger0(sdtasdt0(esk1_0,xq))
| ~ aInteger0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_66]),c_0_21])]),c_0_78]) ).
cnf(c_0_81,hypothesis,
( ~ aInteger0(sdtasdt0(xm,xp))
| ~ aInteger0(sdtasdt0(esk1_0,xq)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_77])]) ).
cnf(c_0_82,hypothesis,
~ aInteger0(sdtasdt0(esk1_0,xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_73]),c_0_21]),c_0_26])]) ).
cnf(c_0_83,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_73]),c_0_20]),c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM436+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.12 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 5 08:59:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.22/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.41 # Preprocessing time : 0.017 s
% 0.22/1.41
% 0.22/1.41 # Proof found!
% 0.22/1.41 # SZS status Theorem
% 0.22/1.41 # SZS output start CNFRefutation
% See solution above
% 0.22/1.41 # Proof object total steps : 84
% 0.22/1.41 # Proof object clause steps : 64
% 0.22/1.41 # Proof object formula steps : 20
% 0.22/1.41 # Proof object conjectures : 10
% 0.22/1.41 # Proof object clause conjectures : 7
% 0.22/1.41 # Proof object formula conjectures : 3
% 0.22/1.41 # Proof object initial clauses used : 21
% 0.22/1.41 # Proof object initial formulas used : 11
% 0.22/1.41 # Proof object generating inferences : 19
% 0.22/1.41 # Proof object simplifying inferences : 81
% 0.22/1.41 # Training examples: 0 positive, 0 negative
% 0.22/1.41 # Parsed axioms : 27
% 0.22/1.41 # Removed by relevancy pruning/SinE : 3
% 0.22/1.41 # Initial clauses : 52
% 0.22/1.41 # Removed in clause preprocessing : 1
% 0.22/1.41 # Initial clauses in saturation : 51
% 0.22/1.41 # Processed clauses : 211
% 0.22/1.41 # ...of these trivial : 10
% 0.22/1.41 # ...subsumed : 46
% 0.22/1.41 # ...remaining for further processing : 155
% 0.22/1.41 # Other redundant clauses eliminated : 2
% 0.22/1.41 # Clauses deleted for lack of memory : 0
% 0.22/1.41 # Backward-subsumed : 0
% 0.22/1.41 # Backward-rewritten : 70
% 0.22/1.41 # Generated clauses : 632
% 0.22/1.41 # ...of the previous two non-trivial : 624
% 0.22/1.41 # Contextual simplify-reflections : 4
% 0.22/1.41 # Paramodulations : 627
% 0.22/1.41 # Factorizations : 0
% 0.22/1.41 # Equation resolutions : 5
% 0.22/1.41 # Current number of processed clauses : 85
% 0.22/1.41 # Positive orientable unit clauses : 24
% 0.22/1.41 # Positive unorientable unit clauses: 0
% 0.22/1.41 # Negative unit clauses : 5
% 0.22/1.41 # Non-unit-clauses : 56
% 0.22/1.41 # Current number of unprocessed clauses: 189
% 0.22/1.41 # ...number of literals in the above : 754
% 0.22/1.41 # Current number of archived formulas : 0
% 0.22/1.41 # Current number of archived clauses : 70
% 0.22/1.41 # Clause-clause subsumption calls (NU) : 669
% 0.22/1.41 # Rec. Clause-clause subsumption calls : 445
% 0.22/1.41 # Non-unit clause-clause subsumptions : 37
% 0.22/1.41 # Unit Clause-clause subsumption calls : 78
% 0.22/1.41 # Rewrite failures with RHS unbound : 0
% 0.22/1.41 # BW rewrite match attempts : 11
% 0.22/1.41 # BW rewrite match successes : 9
% 0.22/1.41 # Condensation attempts : 0
% 0.22/1.41 # Condensation successes : 0
% 0.22/1.41 # Termbank termtop insertions : 15252
% 0.22/1.41
% 0.22/1.41 # -------------------------------------------------
% 0.22/1.41 # User time : 0.049 s
% 0.22/1.41 # System time : 0.001 s
% 0.22/1.41 # Total time : 0.050 s
% 0.22/1.41 # Maximum resident set size: 3332 pages
% 0.22/23.41 eprover: CPU time limit exceeded, terminating
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------