TSTP Solution File: NUM428+3 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM428+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n027.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 09:32:19 EDT 2022
% Result : Theorem 0.24s 2.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 12
% Syntax : Number of formulae : 104 ( 55 unt; 0 def)
% Number of atoms : 256 ( 94 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 249 ( 97 ~; 90 |; 50 &)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 5 ( 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 : 79 ( 1 sgn 37 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(xa,smndt0(xb)) )
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(xb,smndt0(xc)) )
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& sdteqdtlpzmzozddtrp0(xb,xc,xq) )
=> ( ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(xa,smndt0(xc)) )
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc)))
| sdteqdtlpzmzozddtrp0(xa,xc,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(m__818,hypothesis,
( aInteger0(xa)
& aInteger0(xb)
& aInteger0(xq)
& xq != sz00
& aInteger0(xc) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__818) ).
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(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(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(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(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(mDistrib,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3) )
=> ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDistrib) ).
fof(c_0_12,negated_conjecture,
~ ( ( ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(xa,smndt0(xb)) )
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(xb,smndt0(xc)) )
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& sdteqdtlpzmzozddtrp0(xb,xc,xq) )
=> ( ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(xa,smndt0(xc)) )
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc)))
| sdteqdtlpzmzozddtrp0(xa,xc,xq) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_13,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_14,negated_conjecture,
! [X4] :
( aInteger0(esk1_0)
& sdtasdt0(xq,esk1_0) = sdtpldt0(xa,smndt0(xb))
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& aInteger0(esk2_0)
& sdtasdt0(xq,esk2_0) = sdtpldt0(xb,smndt0(xc))
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& sdteqdtlpzmzozddtrp0(xb,xc,xq)
& ( ~ aInteger0(X4)
| sdtasdt0(xq,X4) != sdtpldt0(xa,smndt0(xc)) )
& ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc)))
& ~ sdteqdtlpzmzozddtrp0(xa,xc,xq) ),
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_12])])])])])]) ).
cnf(c_0_15,plain,
( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_16,negated_conjecture,
sdtasdt0(xq,esk2_0) = sdtpldt0(xb,smndt0(xc)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_17,hypothesis,
aInteger0(xb),
inference(split_conjunct,[status(thm)],[m__818]) ).
fof(c_0_18,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])])]) ).
fof(c_0_19,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_20,negated_conjecture,
sdtasdt0(xq,esk1_0) = sdtpldt0(xa,smndt0(xb)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,hypothesis,
aInteger0(xa),
inference(split_conjunct,[status(thm)],[m__818]) ).
cnf(c_0_22,negated_conjecture,
( sdtpldt0(xb,sdtpldt0(smndt0(xc),X1)) = sdtpldt0(sdtasdt0(xq,esk2_0),X1)
| ~ aInteger0(smndt0(xc))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).
cnf(c_0_23,plain,
( sz00 = sdtpldt0(smndt0(X1),X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,hypothesis,
aInteger0(xc),
inference(split_conjunct,[status(thm)],[m__818]) ).
fof(c_0_25,plain,
! [X2] :
( ~ aInteger0(X2)
| aInteger0(smndt0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntNeg])]) ).
cnf(c_0_26,plain,
( aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,negated_conjecture,
( sdtpldt0(xa,sdtpldt0(smndt0(xb),X1)) = sdtpldt0(sdtasdt0(xq,esk1_0),X1)
| ~ aInteger0(smndt0(xb))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_20]),c_0_21])]) ).
fof(c_0_28,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_29,negated_conjecture,
( sdtpldt0(sdtasdt0(xq,esk2_0),xc) = sdtpldt0(xb,sz00)
| ~ aInteger0(smndt0(xc)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).
cnf(c_0_30,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,negated_conjecture,
( aInteger0(sdtasdt0(xq,esk2_0))
| ~ aInteger0(smndt0(xc)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_16]),c_0_17])]) ).
fof(c_0_32,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_33,negated_conjecture,
( sdtpldt0(sdtasdt0(xq,esk1_0),xb) = sdtpldt0(xa,sz00)
| ~ aInteger0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_23]),c_0_17])]) ).
cnf(c_0_34,negated_conjecture,
( aInteger0(sdtasdt0(xq,esk1_0))
| ~ aInteger0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_20]),c_0_21])]) ).
cnf(c_0_35,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,negated_conjecture,
sdtpldt0(sdtasdt0(xq,esk2_0),xc) = sdtpldt0(xb,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_24])]) ).
cnf(c_0_37,negated_conjecture,
aInteger0(sdtasdt0(xq,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_30]),c_0_24])]) ).
fof(c_0_38,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_39,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,plain,
aInteger0(sz00),
inference(split_conjunct,[status(thm)],[mIntZero]) ).
cnf(c_0_41,negated_conjecture,
sdtpldt0(sdtasdt0(xq,esk1_0),xb) = sdtpldt0(xa,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_30]),c_0_17])]) ).
cnf(c_0_42,negated_conjecture,
aInteger0(sdtasdt0(xq,esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_30]),c_0_17])]) ).
cnf(c_0_43,negated_conjecture,
sdtpldt0(xc,sdtasdt0(xq,esk2_0)) = sdtpldt0(xb,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_24]),c_0_37])]) ).
cnf(c_0_44,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_45,negated_conjecture,
aInteger0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_46,hypothesis,
aInteger0(xq),
inference(split_conjunct,[status(thm)],[m__818]) ).
cnf(c_0_47,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_15,c_0_39]),c_0_40])]) ).
cnf(c_0_48,negated_conjecture,
sdtpldt0(xb,sdtasdt0(xq,esk1_0)) = sdtpldt0(xa,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_41]),c_0_17]),c_0_42])]) ).
cnf(c_0_49,negated_conjecture,
sdtpldt0(xc,sdtasdt0(esk2_0,xq)) = sdtpldt0(xb,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_46])]) ).
cnf(c_0_50,negated_conjecture,
aInteger0(sdtasdt0(esk2_0,xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_44]),c_0_45]),c_0_46])]) ).
cnf(c_0_51,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_52,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_47,c_0_48]),c_0_42]),c_0_17])]) ).
cnf(c_0_53,negated_conjecture,
sdtpldt0(sz00,sdtpldt0(xb,sz00)) = sdtpldt0(xb,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_49]),c_0_50]),c_0_24])]) ).
cnf(c_0_54,negated_conjecture,
( sdtpldt0(sdtasdt0(xq,esk2_0),sz00) = sdtasdt0(xq,esk2_0)
| ~ aInteger0(smndt0(xc)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_51]),c_0_16]),c_0_40])]) ).
cnf(c_0_55,negated_conjecture,
aInteger0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_56,negated_conjecture,
sdtpldt0(sz00,xa) = xa,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_51]),c_0_21])]) ).
cnf(c_0_57,negated_conjecture,
sdtpldt0(sz00,xb) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_51]),c_0_17])]) ).
cnf(c_0_58,negated_conjecture,
sdtpldt0(sdtasdt0(xq,esk2_0),sz00) = sdtasdt0(xq,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_30]),c_0_24])]) ).
cnf(c_0_59,negated_conjecture,
sdtpldt0(xb,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_48,c_0_44]),c_0_55]),c_0_46])]) ).
cnf(c_0_60,negated_conjecture,
sdtpldt0(xa,sz00) = xa,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_56]),c_0_21]),c_0_40])]) ).
cnf(c_0_61,negated_conjecture,
sdtpldt0(xb,sz00) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_57]),c_0_17]),c_0_40])]) ).
cnf(c_0_62,negated_conjecture,
sdtpldt0(sz00,sdtasdt0(xq,esk2_0)) = sdtasdt0(xq,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_58]),c_0_40]),c_0_37])]) ).
cnf(c_0_63,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_23]),c_0_30]) ).
cnf(c_0_64,negated_conjecture,
sdtpldt0(xb,sdtasdt0(esk1_0,xq)) = xa,
inference(rw,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_65,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_42,c_0_44]),c_0_55]),c_0_46])]) ).
cnf(c_0_66,negated_conjecture,
sdtpldt0(xc,sdtasdt0(esk2_0,xq)) = xb,
inference(rw,[status(thm)],[c_0_49,c_0_61]) ).
cnf(c_0_67,negated_conjecture,
sdtpldt0(sz00,sdtasdt0(esk2_0,xq)) = sdtasdt0(esk2_0,xq),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_44]),c_0_45]),c_0_46])]) ).
cnf(c_0_68,negated_conjecture,
sdtpldt0(xb,sdtasdt0(xq,esk1_0)) = xa,
inference(rw,[status(thm)],[c_0_48,c_0_60]) ).
cnf(c_0_69,negated_conjecture,
sdtpldt0(smndt0(xb),xa) = sdtpldt0(sz00,sdtasdt0(esk1_0,xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]),c_0_17])]) ).
cnf(c_0_70,negated_conjecture,
sdtpldt0(xc,sdtasdt0(xq,esk2_0)) = xb,
inference(rw,[status(thm)],[c_0_43,c_0_61]) ).
cnf(c_0_71,negated_conjecture,
sdtpldt0(smndt0(xc),xb) = sdtasdt0(esk2_0,xq),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_66]),c_0_67]),c_0_50]),c_0_24])]) ).
cnf(c_0_72,negated_conjecture,
sdtpldt0(sz00,sdtasdt0(xq,esk1_0)) = sdtpldt0(sz00,sdtasdt0(esk1_0,xq)),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_68]),c_0_42]),c_0_17])]),c_0_69]) ).
cnf(c_0_73,negated_conjecture,
sdtasdt0(xq,esk2_0) = sdtasdt0(esk2_0,xq),
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_63,c_0_70]),c_0_62]),c_0_37]),c_0_24])]),c_0_71]) ).
cnf(c_0_74,negated_conjecture,
sdtasdt0(xq,esk1_0) = sdtpldt0(sz00,sdtasdt0(esk1_0,xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_72]),c_0_42])]) ).
cnf(c_0_75,negated_conjecture,
sdtpldt0(xb,smndt0(xc)) = sdtasdt0(esk2_0,xq),
inference(rw,[status(thm)],[c_0_16,c_0_73]) ).
cnf(c_0_76,negated_conjecture,
sdtpldt0(xa,smndt0(xb)) = sdtpldt0(sz00,sdtasdt0(esk1_0,xq)),
inference(rw,[status(thm)],[c_0_20,c_0_74]) ).
cnf(c_0_77,negated_conjecture,
sdtpldt0(sz00,sdtasdt0(esk1_0,xq)) = sdtasdt0(esk1_0,xq),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_74]),c_0_55]),c_0_46])]) ).
cnf(c_0_78,negated_conjecture,
( sdtpldt0(sz00,smndt0(xc)) = sdtpldt0(smndt0(xb),sdtasdt0(esk2_0,xq))
| ~ aInteger0(smndt0(xc)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_75]),c_0_17])]) ).
cnf(c_0_79,negated_conjecture,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(esk1_0,xq),
inference(rw,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_80,negated_conjecture,
( smndt0(xc) = sdtpldt0(smndt0(xb),sdtasdt0(esk2_0,xq))
| ~ aInteger0(smndt0(xc)) ),
inference(spm,[status(thm)],[c_0_39,c_0_78]) ).
cnf(c_0_81,negated_conjecture,
( sdtpldt0(sz00,smndt0(xb)) = sdtpldt0(smndt0(xa),sdtasdt0(esk1_0,xq))
| ~ aInteger0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_79]),c_0_21])]) ).
cnf(c_0_82,negated_conjecture,
~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc))),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_83,negated_conjecture,
smndt0(xc) = sdtpldt0(smndt0(xb),sdtasdt0(esk2_0,xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_30]),c_0_24])]) ).
cnf(c_0_84,negated_conjecture,
( smndt0(xb) = sdtpldt0(smndt0(xa),sdtasdt0(esk1_0,xq))
| ~ aInteger0(smndt0(xb)) ),
inference(spm,[status(thm)],[c_0_39,c_0_81]) ).
fof(c_0_85,plain,
! [X4,X5,X5,X7] :
( ( aInteger0(X5)
| ~ aDivisorOf0(X5,X4)
| ~ aInteger0(X4) )
& ( X5 != sz00
| ~ aDivisorOf0(X5,X4)
| ~ aInteger0(X4) )
& ( aInteger0(esk3_2(X4,X5))
| ~ aDivisorOf0(X5,X4)
| ~ aInteger0(X4) )
& ( sdtasdt0(X5,esk3_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])])])])])])]) ).
fof(c_0_86,plain,
! [X4,X5,X6] :
( ( sdtasdt0(X4,sdtpldt0(X5,X6)) = sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
| ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6) )
& ( sdtasdt0(sdtpldt0(X4,X5),X6) = sdtpldt0(sdtasdt0(X4,X6),sdtasdt0(X5,X6))
| ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDistrib])])]) ).
cnf(c_0_87,negated_conjecture,
~ aDivisorOf0(xq,sdtpldt0(xa,sdtpldt0(smndt0(xb),sdtasdt0(esk2_0,xq)))),
inference(rw,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_88,negated_conjecture,
smndt0(xb) = sdtpldt0(smndt0(xa),sdtasdt0(esk1_0,xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_30]),c_0_17])]) ).
cnf(c_0_89,plain,
( aDivisorOf0(X2,X1)
| X2 = sz00
| ~ aInteger0(X1)
| sdtasdt0(X2,X3) != X1
| ~ aInteger0(X3)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_90,plain,
( sdtasdt0(X3,sdtpldt0(X2,X1)) = sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_91,negated_conjecture,
~ aDivisorOf0(xq,sdtpldt0(xa,sdtpldt0(sdtpldt0(smndt0(xa),sdtasdt0(esk1_0,xq)),sdtasdt0(esk2_0,xq)))),
inference(rw,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_92,plain,
( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(X3,sdtpldt0(X1,X2))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_15]),c_0_26]) ).
cnf(c_0_93,negated_conjecture,
aInteger0(sdtpldt0(smndt0(xa),sdtasdt0(esk1_0,xq))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_88]),c_0_17])]) ).
cnf(c_0_94,negated_conjecture,
sdtpldt0(xa,sdtpldt0(smndt0(xa),sdtasdt0(esk1_0,xq))) = sdtasdt0(esk1_0,xq),
inference(rw,[status(thm)],[c_0_79,c_0_88]) ).
cnf(c_0_95,plain,
( X1 = sz00
| aDivisorOf0(X1,X2)
| sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X1,X4)) != X2
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_26]) ).
cnf(c_0_96,hypothesis,
xq != sz00,
inference(split_conjunct,[status(thm)],[m__818]) ).
cnf(c_0_97,negated_conjecture,
~ aDivisorOf0(xq,sdtpldt0(sdtasdt0(esk2_0,xq),sdtasdt0(esk1_0,xq))),
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_91,c_0_92]),c_0_50]),c_0_93]),c_0_21])]),c_0_94]) ).
cnf(c_0_98,negated_conjecture,
( aDivisorOf0(xq,X1)
| sdtpldt0(sdtasdt0(xq,X2),sdtasdt0(esk2_0,xq)) != X1
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_73]),c_0_46]),c_0_45])]),c_0_96]) ).
cnf(c_0_99,negated_conjecture,
sdtasdt0(xq,esk1_0) = sdtasdt0(esk1_0,xq),
inference(rw,[status(thm)],[c_0_74,c_0_77]) ).
cnf(c_0_100,negated_conjecture,
~ aDivisorOf0(xq,sdtpldt0(sdtasdt0(esk1_0,xq),sdtasdt0(esk2_0,xq))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_35]),c_0_65]),c_0_50])]) ).
cnf(c_0_101,negated_conjecture,
( aDivisorOf0(xq,X1)
| sdtpldt0(sdtasdt0(esk1_0,xq),sdtasdt0(esk2_0,xq)) != X1
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_55])]) ).
cnf(c_0_102,negated_conjecture,
~ aInteger0(sdtpldt0(sdtasdt0(esk1_0,xq),sdtasdt0(esk2_0,xq))),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_103,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_26]),c_0_50]),c_0_65])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM428+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 8 01:04:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.24/2.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/2.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/2.42 # Preprocessing time : 0.016 s
% 0.24/2.42
% 0.24/2.42 # Proof found!
% 0.24/2.42 # SZS status Theorem
% 0.24/2.42 # SZS output start CNFRefutation
% See solution above
% 0.24/2.42 # Proof object total steps : 104
% 0.24/2.42 # Proof object clause steps : 81
% 0.24/2.42 # Proof object formula steps : 23
% 0.24/2.42 # Proof object conjectures : 64
% 0.24/2.42 # Proof object clause conjectures : 61
% 0.24/2.42 # Proof object formula conjectures : 3
% 0.24/2.42 # Proof object initial clauses used : 21
% 0.24/2.42 # Proof object initial formulas used : 12
% 0.24/2.42 # Proof object generating inferences : 49
% 0.24/2.42 # Proof object simplifying inferences : 129
% 0.24/2.42 # Training examples: 0 positive, 0 negative
% 0.24/2.42 # Parsed axioms : 23
% 0.24/2.42 # Removed by relevancy pruning/SinE : 3
% 0.24/2.42 # Initial clauses : 43
% 0.24/2.42 # Removed in clause preprocessing : 1
% 0.24/2.42 # Initial clauses in saturation : 42
% 0.24/2.42 # Processed clauses : 10691
% 0.24/2.42 # ...of these trivial : 625
% 0.24/2.42 # ...subsumed : 7393
% 0.24/2.42 # ...remaining for further processing : 2673
% 0.24/2.42 # Other redundant clauses eliminated : 53
% 0.24/2.42 # Clauses deleted for lack of memory : 0
% 0.24/2.42 # Backward-subsumed : 97
% 0.24/2.42 # Backward-rewritten : 253
% 0.24/2.42 # Generated clauses : 58720
% 0.24/2.42 # ...of the previous two non-trivial : 49292
% 0.24/2.42 # Contextual simplify-reflections : 2968
% 0.24/2.42 # Paramodulations : 58587
% 0.24/2.42 # Factorizations : 0
% 0.24/2.42 # Equation resolutions : 133
% 0.24/2.42 # Current number of processed clauses : 2323
% 0.24/2.42 # Positive orientable unit clauses : 780
% 0.24/2.42 # Positive unorientable unit clauses: 0
% 0.24/2.42 # Negative unit clauses : 28
% 0.24/2.42 # Non-unit-clauses : 1515
% 0.24/2.42 # Current number of unprocessed clauses: 33381
% 0.24/2.42 # ...number of literals in the above : 120456
% 0.24/2.42 # Current number of archived formulas : 0
% 0.24/2.42 # Current number of archived clauses : 350
% 0.24/2.42 # Clause-clause subsumption calls (NU) : 1183535
% 0.24/2.42 # Rec. Clause-clause subsumption calls : 697418
% 0.24/2.42 # Non-unit clause-clause subsumptions : 10103
% 0.24/2.42 # Unit Clause-clause subsumption calls : 2897
% 0.24/2.42 # Rewrite failures with RHS unbound : 0
% 0.24/2.42 # BW rewrite match attempts : 6200
% 0.24/2.42 # BW rewrite match successes : 77
% 0.24/2.42 # Condensation attempts : 0
% 0.24/2.42 # Condensation successes : 0
% 0.24/2.42 # Termbank termtop insertions : 1189134
% 0.24/2.42
% 0.24/2.42 # -------------------------------------------------
% 0.24/2.42 # User time : 1.259 s
% 0.24/2.42 # System time : 0.022 s
% 0.24/2.42 # Total time : 1.281 s
% 0.24/2.42 # Maximum resident set size: 35796 pages
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------