TSTP Solution File: RNG048+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : RNG048+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n025.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 20:26:42 EDT 2022
% Result : Theorem 0.34s 23.52s
% Output : CNFRefutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 62 ( 8 unt; 0 def)
% Number of atoms : 240 ( 53 equ)
% Maximal formula atoms : 25 ( 3 avg)
% Number of connectives : 300 ( 122 ~; 127 |; 23 &)
% ( 1 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 84 ( 1 sgn 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
! [X1] :
( aVector0(X1)
=> ( ! [X2] :
( aVector0(X2)
=> ( iLess0(aDimensionOf0(X2),aDimensionOf0(X1))
=> sdtlseqdt0(sz0z00,sdtasasdt0(X2,X2)) ) )
=> sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(mLETot,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mLETot) ).
fof(mDefInit,axiom,
! [X1] :
( aVector0(X1)
=> ( aDimensionOf0(X1) != sz00
=> ! [X2] :
( X2 = sziznziztdt0(X1)
<=> ( aVector0(X2)
& szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(X1)
& ! [X3] :
( aNaturalNumber0(X3)
=> sdtlbdtrb0(X2,X3) = sdtlbdtrb0(X1,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefInit) ).
fof(mDefSPZ,axiom,
! [X1,X2] :
( ( aVector0(X1)
& aVector0(X2) )
=> ( ( aDimensionOf0(X1) = aDimensionOf0(X2)
& aDimensionOf0(X2) = sz00 )
=> sdtasasdt0(X1,X2) = sz0z00 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefSPZ) ).
fof(mSZeroSc,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSZeroSc) ).
fof(mIH,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> iLess0(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIH) ).
fof(mDimNat,axiom,
! [X1] :
( aVector0(X1)
=> aNaturalNumber0(aDimensionOf0(X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDimNat) ).
fof(mPosMon,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X2) )
=> ( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
& sdtlseqdt0(sz0z00,sdtasdt0(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mPosMon) ).
fof(mDefSPN,axiom,
! [X1,X2] :
( ( aVector0(X1)
& aVector0(X2) )
=> ( ( aDimensionOf0(X1) = aDimensionOf0(X2)
& aDimensionOf0(X2) != sz00 )
=> sdtasasdt0(X1,X2) = sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(X2)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(X2,aDimensionOf0(X2)))) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefSPN) ).
fof(mLETrn,axiom,
! [X1,X2,X3] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mLETrn) ).
fof(mScPr,axiom,
! [X1,X2] :
( ( aVector0(X1)
& aVector0(X2) )
=> ( aDimensionOf0(X1) = aDimensionOf0(X2)
=> aScalar0(sdtasasdt0(X1,X2)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mScPr) ).
fof(mSqPos,axiom,
! [X1] :
( aScalar0(X1)
=> sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSqPos) ).
fof(mMulSc,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> aScalar0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulSc) ).
fof(mElmSc,axiom,
! [X1,X2] :
( ( aVector0(X1)
& aNaturalNumber0(X2) )
=> aScalar0(sdtlbdtrb0(X1,X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mElmSc) ).
fof(c_0_14,negated_conjecture,
~ ! [X1] :
( aVector0(X1)
=> ( ! [X2] :
( aVector0(X2)
=> ( iLess0(aDimensionOf0(X2),aDimensionOf0(X1))
=> sdtlseqdt0(sz0z00,sdtasasdt0(X2,X2)) ) )
=> sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_15,plain,
! [X3,X4] :
( ~ aScalar0(X3)
| ~ aScalar0(X4)
| sdtlseqdt0(X3,X4)
| sdtlseqdt0(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETot])]) ).
fof(c_0_16,plain,
! [X4,X5,X6,X5] :
( ( aVector0(X5)
| X5 != sziznziztdt0(X4)
| aDimensionOf0(X4) = sz00
| ~ aVector0(X4) )
& ( szszuzczcdt0(aDimensionOf0(X5)) = aDimensionOf0(X4)
| X5 != sziznziztdt0(X4)
| aDimensionOf0(X4) = sz00
| ~ aVector0(X4) )
& ( ~ aNaturalNumber0(X6)
| sdtlbdtrb0(X5,X6) = sdtlbdtrb0(X4,X6)
| X5 != sziznziztdt0(X4)
| aDimensionOf0(X4) = sz00
| ~ aVector0(X4) )
& ( aNaturalNumber0(esk3_2(X4,X5))
| ~ aVector0(X5)
| szszuzczcdt0(aDimensionOf0(X5)) != aDimensionOf0(X4)
| X5 = sziznziztdt0(X4)
| aDimensionOf0(X4) = sz00
| ~ aVector0(X4) )
& ( sdtlbdtrb0(X5,esk3_2(X4,X5)) != sdtlbdtrb0(X4,esk3_2(X4,X5))
| ~ aVector0(X5)
| szszuzczcdt0(aDimensionOf0(X5)) != aDimensionOf0(X4)
| X5 = sziznziztdt0(X4)
| aDimensionOf0(X4) = sz00
| ~ aVector0(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)],[mDefInit])])])])])])]) ).
fof(c_0_17,negated_conjecture,
! [X4] :
( aVector0(esk1_0)
& ( ~ aVector0(X4)
| ~ iLess0(aDimensionOf0(X4),aDimensionOf0(esk1_0))
| sdtlseqdt0(sz0z00,sdtasasdt0(X4,X4)) )
& ~ sdtlseqdt0(sz0z00,sdtasasdt0(esk1_0,esk1_0)) ),
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_14])])])])])]) ).
fof(c_0_18,plain,
! [X3,X4] :
( ~ aVector0(X3)
| ~ aVector0(X4)
| aDimensionOf0(X3) != aDimensionOf0(X4)
| aDimensionOf0(X4) != sz00
| sdtasasdt0(X3,X4) = sz0z00 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSPZ])]) ).
cnf(c_0_19,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
aScalar0(sz0z00),
inference(split_conjunct,[status(thm)],[mSZeroSc]) ).
fof(c_0_21,plain,
! [X2] :
( ~ aNaturalNumber0(X2)
| iLess0(X2,szszuzczcdt0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH])]) ).
cnf(c_0_22,plain,
( aDimensionOf0(X1) = sz00
| szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(X1)
| ~ aVector0(X1)
| X2 != sziznziztdt0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,negated_conjecture,
~ sdtlseqdt0(sz0z00,sdtasasdt0(esk1_0,esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
( sdtasasdt0(X1,X2) = sz0z00
| aDimensionOf0(X2) != sz00
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,negated_conjecture,
aVector0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,plain,
( sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_27,plain,
( iLess0(X1,szszuzczcdt0(X1))
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,plain,
( szszuzczcdt0(aDimensionOf0(sziznziztdt0(X1))) = aDimensionOf0(X1)
| aDimensionOf0(X1) = sz00
| ~ aVector0(X1) ),
inference(er,[status(thm)],[c_0_22]) ).
cnf(c_0_29,negated_conjecture,
( aDimensionOf0(esk1_0) != sz00
| ~ sdtlseqdt0(sz0z00,sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
cnf(c_0_30,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(spm,[status(thm)],[c_0_26,c_0_20]) ).
fof(c_0_31,plain,
! [X2] :
( ~ aVector0(X2)
| aNaturalNumber0(aDimensionOf0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDimNat])]) ).
fof(c_0_32,plain,
! [X3,X4] :
( ( sdtlseqdt0(sz0z00,sdtpldt0(X3,X4))
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(sz0z00,X4)
| ~ aScalar0(X3)
| ~ aScalar0(X4) )
& ( sdtlseqdt0(sz0z00,sdtasdt0(X3,X4))
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(sz0z00,X4)
| ~ aScalar0(X3)
| ~ aScalar0(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPosMon])])]) ).
fof(c_0_33,plain,
! [X3,X4] :
( ~ aVector0(X3)
| ~ aVector0(X4)
| aDimensionOf0(X3) != aDimensionOf0(X4)
| aDimensionOf0(X4) = sz00
| sdtasasdt0(X3,X4) = sdtpldt0(sdtasasdt0(sziznziztdt0(X3),sziznziztdt0(X4)),sdtasdt0(sdtlbdtrb0(X3,aDimensionOf0(X3)),sdtlbdtrb0(X4,aDimensionOf0(X4)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSPN])]) ).
fof(c_0_34,plain,
! [X4,X5,X6] :
( ~ aScalar0(X4)
| ~ aScalar0(X5)
| ~ aScalar0(X6)
| ~ sdtlseqdt0(X4,X5)
| ~ sdtlseqdt0(X5,X6)
| sdtlseqdt0(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETrn])]) ).
cnf(c_0_35,negated_conjecture,
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ iLess0(aDimensionOf0(X1),aDimensionOf0(esk1_0))
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_36,plain,
( aDimensionOf0(X1) = sz00
| iLess0(aDimensionOf0(sziznziztdt0(X1)),aDimensionOf0(X1))
| ~ aVector0(X1)
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(X1))) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_37,negated_conjecture,
aDimensionOf0(esk1_0) != sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]) ).
cnf(c_0_38,plain,
( aNaturalNumber0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,plain,
( sdtlseqdt0(sz0z00,sdtpldt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,plain,
( sdtasasdt0(X1,X2) = sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(X2)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(X2,aDimensionOf0(X2))))
| aDimensionOf0(X2) = sz00
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_41,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_42,negated_conjecture,
( sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(esk1_0),sziznziztdt0(esk1_0)))
| ~ aVector0(sziznziztdt0(esk1_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_25])]),c_0_37]),c_0_38]) ).
cnf(c_0_43,plain,
( aDimensionOf0(X1) = sz00
| sdtlseqdt0(sz0z00,sdtasasdt0(X2,X1))
| aDimensionOf0(X2) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X2)
| ~ sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(X2,aDimensionOf0(X2)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(X2),sziznziztdt0(X1)))
| ~ aScalar0(sdtasdt0(sdtlbdtrb0(X2,aDimensionOf0(X2)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
| ~ aScalar0(sdtasasdt0(sziznziztdt0(X2),sziznziztdt0(X1))) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_44,negated_conjecture,
( sdtlseqdt0(X1,sdtasasdt0(sziznziztdt0(esk1_0),sziznziztdt0(esk1_0)))
| ~ aVector0(sziznziztdt0(esk1_0))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasasdt0(sziznziztdt0(esk1_0),sziznziztdt0(esk1_0)))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_20])]) ).
fof(c_0_45,plain,
! [X3,X4] :
( ~ aVector0(X3)
| ~ aVector0(X4)
| aDimensionOf0(X3) != aDimensionOf0(X4)
| aScalar0(sdtasasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScPr])]) ).
cnf(c_0_46,negated_conjecture,
( ~ aVector0(sziznziztdt0(esk1_0))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(esk1_0,aDimensionOf0(esk1_0)),sdtlbdtrb0(esk1_0,aDimensionOf0(esk1_0))))
| ~ aScalar0(sdtasdt0(sdtlbdtrb0(esk1_0,aDimensionOf0(esk1_0)),sdtlbdtrb0(esk1_0,aDimensionOf0(esk1_0))))
| ~ aScalar0(sdtasasdt0(sziznziztdt0(esk1_0),sziznziztdt0(esk1_0))) ),
inference(sr,[status(thm)],[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_43,c_0_44]),c_0_25]),c_0_30]),c_0_20])]),c_0_37]),c_0_23]) ).
cnf(c_0_47,plain,
( aScalar0(sdtasasdt0(X1,X2))
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_48,plain,
! [X2] :
( ~ aScalar0(X2)
| sdtlseqdt0(sz0z00,sdtasdt0(X2,X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqPos])]) ).
cnf(c_0_49,negated_conjecture,
( ~ aVector0(sziznziztdt0(esk1_0))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(esk1_0,aDimensionOf0(esk1_0)),sdtlbdtrb0(esk1_0,aDimensionOf0(esk1_0))))
| ~ aScalar0(sdtasdt0(sdtlbdtrb0(esk1_0,aDimensionOf0(esk1_0)),sdtlbdtrb0(esk1_0,aDimensionOf0(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_50,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
fof(c_0_51,plain,
! [X3,X4] :
( ~ aScalar0(X3)
| ~ aScalar0(X4)
| aScalar0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulSc])]) ).
cnf(c_0_52,negated_conjecture,
( ~ aVector0(sziznziztdt0(esk1_0))
| ~ aScalar0(sdtasdt0(sdtlbdtrb0(esk1_0,aDimensionOf0(esk1_0)),sdtlbdtrb0(esk1_0,aDimensionOf0(esk1_0))))
| ~ aScalar0(sdtlbdtrb0(esk1_0,aDimensionOf0(esk1_0))) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_53,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_54,plain,
! [X3,X4] :
( ~ aVector0(X3)
| ~ aNaturalNumber0(X4)
| aScalar0(sdtlbdtrb0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mElmSc])]) ).
cnf(c_0_55,negated_conjecture,
( ~ aVector0(sziznziztdt0(esk1_0))
| ~ aScalar0(sdtlbdtrb0(esk1_0,aDimensionOf0(esk1_0))) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_56,plain,
( aScalar0(sdtlbdtrb0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_57,plain,
( aDimensionOf0(X1) = sz00
| aVector0(X2)
| ~ aVector0(X1)
| X2 != sziznziztdt0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_58,negated_conjecture,
( ~ aVector0(sziznziztdt0(esk1_0))
| ~ aNaturalNumber0(aDimensionOf0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_25])]) ).
cnf(c_0_59,plain,
( aDimensionOf0(X1) = sz00
| aVector0(sziznziztdt0(X1))
| ~ aVector0(X1) ),
inference(er,[status(thm)],[c_0_57]) ).
cnf(c_0_60,negated_conjecture,
~ aNaturalNumber0(aDimensionOf0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_25])]),c_0_37]) ).
cnf(c_0_61,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_38]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG048+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.11/0.33 % Computer : n025.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon May 30 22:12:42 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.34/23.40 eprover: CPU time limit exceeded, terminating
% 0.34/23.40 eprover: CPU time limit exceeded, terminating
% 0.34/23.40 eprover: CPU time limit exceeded, terminating
% 0.34/23.41 eprover: CPU time limit exceeded, terminating
% 0.34/23.52 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.34/23.52
% 0.34/23.52 # Failure: Resource limit exceeded (time)
% 0.34/23.52 # OLD status Res
% 0.34/23.52 # Preprocessing time : 0.017 s
% 0.34/23.52 # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 0.34/23.52 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 0.34/23.52 # Preprocessing time : 0.009 s
% 0.34/23.52
% 0.34/23.52 # Proof found!
% 0.34/23.52 # SZS status Theorem
% 0.34/23.52 # SZS output start CNFRefutation
% See solution above
% 0.34/23.52 # Proof object total steps : 62
% 0.34/23.52 # Proof object clause steps : 34
% 0.34/23.52 # Proof object formula steps : 28
% 0.34/23.52 # Proof object conjectures : 17
% 0.34/23.52 # Proof object clause conjectures : 14
% 0.34/23.52 # Proof object formula conjectures : 3
% 0.34/23.52 # Proof object initial clauses used : 17
% 0.34/23.52 # Proof object initial formulas used : 14
% 0.34/23.52 # Proof object generating inferences : 16
% 0.34/23.52 # Proof object simplifying inferences : 23
% 0.34/23.52 # Training examples: 0 positive, 0 negative
% 0.34/23.52 # Parsed axioms : 37
% 0.34/23.52 # Removed by relevancy pruning/SinE : 4
% 0.34/23.52 # Initial clauses : 46
% 0.34/23.52 # Removed in clause preprocessing : 5
% 0.34/23.52 # Initial clauses in saturation : 41
% 0.34/23.52 # Processed clauses : 469
% 0.34/23.52 # ...of these trivial : 0
% 0.34/23.52 # ...subsumed : 264
% 0.34/23.52 # ...remaining for further processing : 205
% 0.34/23.52 # Other redundant clauses eliminated : 4
% 0.34/23.52 # Clauses deleted for lack of memory : 0
% 0.34/23.52 # Backward-subsumed : 12
% 0.34/23.52 # Backward-rewritten : 1
% 0.34/23.52 # Generated clauses : 2960
% 0.34/23.52 # ...of the previous two non-trivial : 2873
% 0.34/23.52 # Contextual simplify-reflections : 115
% 0.34/23.52 # Paramodulations : 2940
% 0.34/23.52 # Factorizations : 0
% 0.34/23.52 # Equation resolutions : 20
% 0.34/23.52 # Current number of processed clauses : 192
% 0.34/23.52 # Positive orientable unit clauses : 6
% 0.34/23.52 # Positive unorientable unit clauses: 0
% 0.34/23.52 # Negative unit clauses : 4
% 0.34/23.52 # Non-unit-clauses : 182
% 0.34/23.52 # Current number of unprocessed clauses: 2421
% 0.34/23.52 # ...number of literals in the above : 19040
% 0.34/23.52 # Current number of archived formulas : 0
% 0.34/23.52 # Current number of archived clauses : 13
% 0.34/23.52 # Clause-clause subsumption calls (NU) : 8684
% 0.34/23.52 # Rec. Clause-clause subsumption calls : 2313
% 0.34/23.52 # Non-unit clause-clause subsumptions : 369
% 0.34/23.52 # Unit Clause-clause subsumption calls : 107
% 0.34/23.52 # Rewrite failures with RHS unbound : 0
% 0.34/23.52 # BW rewrite match attempts : 1
% 0.34/23.52 # BW rewrite match successes : 1
% 0.34/23.52 # Condensation attempts : 0
% 0.34/23.52 # Condensation successes : 0
% 0.34/23.52 # Termbank termtop insertions : 70733
% 0.34/23.52
% 0.34/23.52 # -------------------------------------------------
% 0.34/23.52 # User time : 0.073 s
% 0.34/23.52 # System time : 0.004 s
% 0.34/23.52 # Total time : 0.077 s
% 0.34/23.52 # Maximum resident set size: 6240 pages
% 0.34/46.41 eprover: CPU time limit exceeded, terminating
% 0.34/46.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/46.43 eprover: No such file or directory
% 0.34/46.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/46.43 eprover: No such file or directory
% 0.34/46.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/46.44 eprover: No such file or directory
% 0.34/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/46.45 eprover: No such file or directory
% 0.34/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/46.45 eprover: No such file or directory
% 0.34/46.45 eprover: CPU time limit exceeded, terminating
% 0.34/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/46.46 eprover: No such file or directory
% 0.34/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/46.46 eprover: No such file or directory
% 0.34/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/46.47 eprover: No such file or directory
% 0.34/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/46.47 eprover: No such file or directory
% 0.34/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/46.47 eprover: No such file or directory
% 0.34/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/46.47 eprover: No such file or directory
% 0.34/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/46.48 eprover: No such file or directory
% 0.34/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/46.48 eprover: No such file or directory
% 0.34/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/46.48 eprover: No such file or directory
% 0.34/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/46.48 eprover: No such file or directory
% 0.34/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/46.48 eprover: No such file or directory
% 0.34/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/46.49 eprover: No such file or directory
% 0.34/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/46.49 eprover: No such file or directory
% 0.34/46.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/46.50 eprover: No such file or directory
%------------------------------------------------------------------------------