%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM433+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n014.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 09:32:23 EDT 2022
% Result : Theorem 0.22s 1.40s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 13
% Syntax : Number of formulae : 87 ( 40 unt; 0 def)
% Number of atoms : 250 ( 83 equ)
% Maximal formula atoms : 29 ( 2 avg)
% Number of connectives : 276 ( 113 ~; 99 |; 51 &)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 84 ( 1 sgn 42 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( 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)) )
=> ( ( ? [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(mAddAsso,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3) )
=> sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddAsso) ).
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(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(mAddNeg,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtpldt0(X1,smndt0(X1)) = sz00
& sz00 = sdtpldt0(smndt0(X1),X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddNeg) ).
fof(mIntNeg,axiom,
! [X1] :
( aInteger0(X1)
=> aInteger0(smndt0(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIntNeg) ).
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(mAddComm,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddComm) ).
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(mAddZero,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddZero) ).
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(mIntZero,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIntZero) ).
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_13,negated_conjecture,
~ ( ( 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)) )
=> ( ( ? [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_14,plain,
! [X4,X5,X6] :
( ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6)
| sdtpldt0(X4,sdtpldt0(X5,X6)) = sdtpldt0(sdtpldt0(X4,X5),X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).
fof(c_0_15,negated_conjecture,
! [X3,X4] :
( 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))
& ( ~ aInteger0(X4)
| sdtasdt0(xq,X4) != sdtpldt0(xa,smndt0(xb))
| ~ aInteger0(X3)
| sdtasdt0(xp,X3) != sdtpldt0(xa,smndt0(xb)) )
& ( ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
| ~ aInteger0(X3)
| sdtasdt0(xp,X3) != sdtpldt0(xa,smndt0(xb)) )
& ( ~ sdteqdtlpzmzozddtrp0(xa,xb,xq)
| ~ aInteger0(X3)
| sdtasdt0(xp,X3) != sdtpldt0(xa,smndt0(xb)) )
& ( ~ aInteger0(X4)
| sdtasdt0(xq,X4) != 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(X4)
| sdtasdt0(xq,X4) != 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(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])])])]) ).
fof(c_0_16,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_17,plain,
( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
sdtasdt0(sdtasdt0(xp,xq),esk1_0) = sdtpldt0(xa,smndt0(xb)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,hypothesis,
aInteger0(xa),
inference(split_conjunct,[status(thm)],[m__979]) ).
fof(c_0_20,plain,
! [X2] :
( ( sdtpldt0(X2,smndt0(X2)) = sz00
| ~ aInteger0(X2) )
& ( sz00 = sdtpldt0(smndt0(X2),X2)
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddNeg])])]) ).
cnf(c_0_21,plain,
( aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_22,plain,
! [X2] :
( ~ aInteger0(X2)
| aInteger0(smndt0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntNeg])]) ).
cnf(c_0_23,negated_conjecture,
( sdtpldt0(xa,sdtpldt0(smndt0(xb),X1)) = sdtpldt0(sdtasdt0(sdtasdt0(xp,xq),esk1_0),X1)
| ~ aInteger0(smndt0(xb))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_24,plain,
( sz00 = sdtpldt0(smndt0(X1),X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,hypothesis,
aInteger0(xb),
inference(split_conjunct,[status(thm)],[m__979]) ).
cnf(c_0_26,negated_conjecture,
aDivisorOf0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb))),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_27,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_28,negated_conjecture,
( aInteger0(sdtasdt0(sdtasdt0(xp,xq),esk1_0))
| ~ aInteger0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_18]),c_0_19])]) ).
cnf(c_0_29,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_30,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| sdtpldt0(X3,X4) = sdtpldt0(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).
cnf(c_0_31,negated_conjecture,
( sdtpldt0(sdtasdt0(sdtasdt0(xp,xq),esk1_0),xb) = sdtpldt0(xa,sz00)
| ~ aInteger0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
fof(c_0_32,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_33,negated_conjecture,
aDivisorOf0(sdtasdt0(xp,xq),sdtasdt0(sdtasdt0(xp,xq),esk1_0)),
inference(rw,[status(thm)],[c_0_26,c_0_18]) ).
cnf(c_0_34,plain,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(sdtasdt0(X1,X2),X3)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,negated_conjecture,
aInteger0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_36,hypothesis,
aInteger0(xq),
inference(split_conjunct,[status(thm)],[m__979]) ).
cnf(c_0_37,hypothesis,
aInteger0(xp),
inference(split_conjunct,[status(thm)],[m__979]) ).
cnf(c_0_38,negated_conjecture,
aInteger0(sdtasdt0(sdtasdt0(xp,xq),esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_25])]) ).
fof(c_0_39,plain,
! [X2] :
( ( sdtpldt0(X2,sz00) = X2
| ~ aInteger0(X2) )
& ( X2 = sdtpldt0(sz00,X2)
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddZero])])]) ).
cnf(c_0_40,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_41,negated_conjecture,
sdtpldt0(sdtasdt0(sdtasdt0(xp,xq),esk1_0),xb) = sdtpldt0(xa,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_29]),c_0_25])]) ).
fof(c_0_42,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_43,plain,
( aInteger0(X2)
| ~ aInteger0(X1)
| ~ aDivisorOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_44,negated_conjecture,
aDivisorOf0(sdtasdt0(xp,xq),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_33,c_0_34]),c_0_35]),c_0_36]),c_0_37])]) ).
cnf(c_0_45,negated_conjecture,
aInteger0(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_38,c_0_34]),c_0_35]),c_0_36]),c_0_37])]) ).
cnf(c_0_46,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_47,plain,
aInteger0(sz00),
inference(split_conjunct,[status(thm)],[mIntZero]) ).
cnf(c_0_48,negated_conjecture,
sdtpldt0(xb,sdtasdt0(sdtasdt0(xp,xq),esk1_0)) = sdtpldt0(xa,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_25]),c_0_38])]) ).
cnf(c_0_49,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_50,negated_conjecture,
aInteger0(sdtasdt0(xp,xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45])]) ).
cnf(c_0_51,plain,
( sdtpldt0(sz00,sdtpldt0(X1,X2)) = sdtpldt0(X1,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_46]),c_0_47])]) ).
cnf(c_0_52,negated_conjecture,
sdtpldt0(xb,sdtasdt0(esk1_0,sdtasdt0(xp,xq))) = sdtpldt0(xa,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_35]),c_0_50])]) ).
cnf(c_0_53,negated_conjecture,
aInteger0(sdtasdt0(esk1_0,sdtasdt0(xp,xq))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_49]),c_0_35])]),c_0_50])]) ).
cnf(c_0_54,negated_conjecture,
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_51,c_0_52]),c_0_53]),c_0_25])]) ).
cnf(c_0_55,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_56,negated_conjecture,
sdtpldt0(sz00,xa) = xa,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_19])]) ).
cnf(c_0_57,negated_conjecture,
( sdtpldt0(sdtasdt0(sdtasdt0(xp,xq),esk1_0),sz00) = sdtasdt0(sdtasdt0(xp,xq),esk1_0)
| ~ aInteger0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_55]),c_0_18]),c_0_47])]) ).
cnf(c_0_58,negated_conjecture,
sdtpldt0(xa,sz00) = xa,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_56]),c_0_19]),c_0_47])]) ).
cnf(c_0_59,negated_conjecture,
sdtpldt0(sdtasdt0(sdtasdt0(xp,xq),esk1_0),sz00) = sdtasdt0(sdtasdt0(xp,xq),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_29]),c_0_25])]) ).
cnf(c_0_60,negated_conjecture,
sdtpldt0(xb,sdtasdt0(xp,sdtasdt0(xq,esk1_0))) = sdtpldt0(xa,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_34]),c_0_35]),c_0_36]),c_0_37])]) ).
cnf(c_0_61,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_24]),c_0_29]) ).
cnf(c_0_62,negated_conjecture,
sdtpldt0(xb,sdtasdt0(sdtasdt0(xp,xq),esk1_0)) = xa,
inference(rw,[status(thm)],[c_0_48,c_0_58]) ).
cnf(c_0_63,negated_conjecture,
sdtpldt0(sz00,sdtasdt0(sdtasdt0(xp,xq),esk1_0)) = sdtasdt0(sdtasdt0(xp,xq),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_59]),c_0_47]),c_0_38])]) ).
cnf(c_0_64,negated_conjecture,
sdtpldt0(xb,sdtasdt0(xp,sdtasdt0(esk1_0,xq))) = sdtpldt0(xa,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_49]),c_0_35]),c_0_36])]) ).
cnf(c_0_65,negated_conjecture,
sdtpldt0(xb,sdtasdt0(esk1_0,sdtasdt0(xp,xq))) = xa,
inference(rw,[status(thm)],[c_0_52,c_0_58]) ).
cnf(c_0_66,negated_conjecture,
sdtpldt0(smndt0(xb),xa) = sdtasdt0(sdtasdt0(xp,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_61,c_0_62]),c_0_63]),c_0_38]),c_0_25])]) ).
cnf(c_0_67,negated_conjecture,
sdtpldt0(xb,sdtasdt0(xp,sdtasdt0(esk1_0,xq))) = xa,
inference(rw,[status(thm)],[c_0_64,c_0_58]) ).
cnf(c_0_68,negated_conjecture,
aInteger0(sdtasdt0(xp,sdtasdt0(esk1_0,xq))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_49]),c_0_35]),c_0_36])]) ).
cnf(c_0_69,negated_conjecture,
sdtasdt0(sdtasdt0(xp,xq),esk1_0) = sdtpldt0(sz00,sdtasdt0(esk1_0,sdtasdt0(xp,xq))),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_65]),c_0_53]),c_0_25])]),c_0_66]) ).
cnf(c_0_70,negated_conjecture,
( sdtasdt0(xp,X1) != sdtpldt0(xa,smndt0(xb))
| ~ aInteger0(X1)
| sdtasdt0(xq,X2) != sdtpldt0(xa,smndt0(xb))
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_71,negated_conjecture,
sdtpldt0(sz00,sdtasdt0(xp,sdtasdt0(esk1_0,xq))) = sdtpldt0(sz00,sdtasdt0(esk1_0,sdtasdt0(xp,xq))),
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_61,c_0_67]),c_0_68]),c_0_25])]),c_0_66]),c_0_69]) ).
cnf(c_0_72,negated_conjecture,
sdtpldt0(sdtasdt0(esk1_0,sdtasdt0(xp,xq)),sz00) = sdtasdt0(esk1_0,sdtasdt0(xp,xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_49]),c_0_35]),c_0_50])]) ).
cnf(c_0_73,negated_conjecture,
( sdtasdt0(xp,X1) != sdtasdt0(sdtasdt0(xp,xq),esk1_0)
| sdtasdt0(xq,X2) != sdtasdt0(sdtasdt0(xp,xq),esk1_0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_18]),c_0_18]) ).
cnf(c_0_74,negated_conjecture,
sdtasdt0(xp,sdtasdt0(esk1_0,xq)) = sdtpldt0(sz00,sdtasdt0(esk1_0,sdtasdt0(xp,xq))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_71]),c_0_68])]) ).
cnf(c_0_75,negated_conjecture,
sdtpldt0(sz00,sdtasdt0(esk1_0,sdtasdt0(xp,xq))) = sdtasdt0(esk1_0,sdtasdt0(xp,xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_72]),c_0_47]),c_0_53])]) ).
cnf(c_0_76,negated_conjecture,
( sdtasdt0(xp,X1) != sdtasdt0(esk1_0,sdtasdt0(xp,xq))
| sdtasdt0(xq,X2) != sdtasdt0(esk1_0,sdtasdt0(xp,xq))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_49]),c_0_35])]),c_0_50])]) ).
cnf(c_0_77,negated_conjecture,
sdtasdt0(xp,sdtasdt0(esk1_0,xq)) = sdtasdt0(esk1_0,sdtasdt0(xp,xq)),
inference(rw,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_78,negated_conjecture,
sdtasdt0(sdtasdt0(xp,xq),esk1_0) = sdtasdt0(esk1_0,sdtasdt0(xp,xq)),
inference(rw,[status(thm)],[c_0_69,c_0_75]) ).
cnf(c_0_79,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X2,sdtasdt0(X1,X3))
| ~ aInteger0(X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_49]) ).
cnf(c_0_80,negated_conjecture,
( sdtasdt0(xq,X1) != sdtasdt0(esk1_0,sdtasdt0(xp,xq))
| ~ aInteger0(sdtasdt0(esk1_0,xq))
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_81,negated_conjecture,
sdtasdt0(xq,sdtasdt0(xp,esk1_0)) = sdtasdt0(esk1_0,sdtasdt0(xp,xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_35]),c_0_37]),c_0_36])]) ).
fof(c_0_82,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_83,negated_conjecture,
( ~ aInteger0(sdtasdt0(esk1_0,xq))
| ~ aInteger0(sdtasdt0(xp,esk1_0)) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_84,plain,
( aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_85,negated_conjecture,
~ aInteger0(sdtasdt0(esk1_0,xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_35]),c_0_37])]) ).
cnf(c_0_86,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_84]),c_0_36]),c_0_35])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM433+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jul 6 10:54:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.40 # Preprocessing time : 0.017 s
% 0.22/1.40
% 0.22/1.40 # Proof found!
% 0.22/1.40 # SZS status Theorem
% 0.22/1.40 # SZS output start CNFRefutation
% See solution above
% 0.22/1.40 # Proof object total steps : 87
% 0.22/1.40 # Proof object clause steps : 62
% 0.22/1.40 # Proof object formula steps : 25
% 0.22/1.40 # Proof object conjectures : 46
% 0.22/1.40 # Proof object clause conjectures : 43
% 0.22/1.40 # Proof object formula conjectures : 3
% 0.22/1.40 # Proof object initial clauses used : 20
% 0.22/1.40 # Proof object initial formulas used : 13
% 0.22/1.40 # Proof object generating inferences : 35
% 0.22/1.40 # Proof object simplifying inferences : 102
% 0.22/1.40 # Training examples: 0 positive, 0 negative
% 0.22/1.40 # Parsed axioms : 24
% 0.22/1.40 # Removed by relevancy pruning/SinE : 3
% 0.22/1.40 # Initial clauses : 48
% 0.22/1.40 # Removed in clause preprocessing : 1
% 0.22/1.40 # Initial clauses in saturation : 47
% 0.22/1.40 # Processed clauses : 354
% 0.22/1.40 # ...of these trivial : 45
% 0.22/1.40 # ...subsumed : 109
% 0.22/1.40 # ...remaining for further processing : 200
% 0.22/1.40 # Other redundant clauses eliminated : 1
% 0.22/1.40 # Clauses deleted for lack of memory : 0
% 0.22/1.40 # Backward-subsumed : 0
% 0.22/1.40 # Backward-rewritten : 82
% 0.22/1.40 # Generated clauses : 1815
% 0.22/1.40 # ...of the previous two non-trivial : 1613
% 0.22/1.40 # Contextual simplify-reflections : 23
% 0.22/1.40 # Paramodulations : 1812
% 0.22/1.40 # Factorizations : 0
% 0.22/1.40 # Equation resolutions : 3
% 0.22/1.40 # Current number of processed clauses : 118
% 0.22/1.40 # Positive orientable unit clauses : 40
% 0.22/1.40 # Positive unorientable unit clauses: 0
% 0.22/1.40 # Negative unit clauses : 5
% 0.22/1.40 # Non-unit-clauses : 73
% 0.22/1.40 # Current number of unprocessed clauses: 983
% 0.22/1.40 # ...number of literals in the above : 4214
% 0.22/1.40 # Current number of archived formulas : 0
% 0.22/1.40 # Current number of archived clauses : 82
% 0.22/1.40 # Clause-clause subsumption calls (NU) : 1905
% 0.22/1.40 # Rec. Clause-clause subsumption calls : 1067
% 0.22/1.40 # Non-unit clause-clause subsumptions : 114
% 0.22/1.40 # Unit Clause-clause subsumption calls : 314
% 0.22/1.40 # Rewrite failures with RHS unbound : 0
% 0.22/1.40 # BW rewrite match attempts : 24
% 0.22/1.40 # BW rewrite match successes : 15
% 0.22/1.40 # Condensation attempts : 0
% 0.22/1.40 # Condensation successes : 0
% 0.22/1.40 # Termbank termtop insertions : 35151
% 0.22/1.40
% 0.22/1.40 # -------------------------------------------------
% 0.22/1.40 # User time : 0.108 s
% 0.22/1.40 # System time : 0.004 s
% 0.22/1.40 # Total time : 0.112 s
% 0.22/1.40 # Maximum resident set size: 4124 pages
% 0.22/23.40 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
% 0.22/23.42 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
%------------------------------------------------------------------------------