%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : RNG049+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n028.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 20:26:43 EDT 2022
% Result : Theorem 0.24s 1.41s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 18
% Syntax : Number of formulae : 67 ( 17 unt; 0 def)
% Number of atoms : 232 ( 52 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 269 ( 104 ~; 94 |; 50 &)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 2 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 : 69 ( 0 sgn 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mIH,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> iLess0(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mIH) ).
fof(m__1568,hypothesis,
( aVector0(sziznziztdt0(xs))
& szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs)
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(sziznziztdt0(xs),X1) = sdtlbdtrb0(xs,X1) )
& aVector0(sziznziztdt0(xs))
& szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs)
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(sziznziztdt0(xs),X1) = sdtlbdtrb0(xs,X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__1568) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p',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/sandbox/solver/bin/../tmp/theBenchmark.p',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/sandbox/solver/bin/../tmp/theBenchmark.p',mLETrn) ).
fof(m__1590,hypothesis,
( aVector0(sziznziztdt0(xs))
& szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs)
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(sziznziztdt0(xs),X1) = sdtlbdtrb0(xs,X1) )
& aVector0(sziznziztdt0(xs))
& szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs)
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(sziznziztdt0(xs),X1) = sdtlbdtrb0(xs,X1) )
& sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__1590) ).
fof(mSqPos,axiom,
! [X1] :
( aScalar0(X1)
=> sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mSqPos) ).
fof(mScZero,axiom,
! [X1] :
( aScalar0(X1)
=> ( sdtpldt0(X1,sz0z00) = X1
& sdtpldt0(sz0z00,X1) = X1
& sdtasdt0(X1,sz0z00) = sz0z00
& sdtasdt0(sz0z00,X1) = sz0z00
& sdtpldt0(X1,smndt0(X1)) = sz0z00
& sdtpldt0(smndt0(X1),X1) = sz0z00
& smndt0(smndt0(X1)) = X1
& smndt0(sz0z00) = sz0z00 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mScZero) ).
fof(m__,conjecture,
sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__) ).
fof(m__1516,hypothesis,
! [X1] :
( aVector0(X1)
=> ( iLess0(aDimensionOf0(X1),aDimensionOf0(xs))
=> sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__1516) ).
fof(mSZeroSc,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mSZeroSc) ).
fof(m__1542,hypothesis,
aVector0(xs),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__1542) ).
fof(m__1542_01,hypothesis,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__1542_01) ).
fof(mScPr,axiom,
! [X1,X2] :
( ( aVector0(X1)
& aVector0(X2) )
=> ( aDimensionOf0(X1) = aDimensionOf0(X2)
=> aScalar0(sdtasasdt0(X1,X2)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mScPr) ).
fof(mMulSc,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> aScalar0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mMulSc) ).
fof(mSuccNat,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( aNaturalNumber0(szszuzczcdt0(X1))
& szszuzczcdt0(X1) != sz00 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mSuccNat) ).
fof(mDimNat,axiom,
! [X1] :
( aVector0(X1)
=> aNaturalNumber0(aDimensionOf0(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mDimNat) ).
fof(mElmSc,axiom,
! [X1,X2] :
( ( aVector0(X1)
& aNaturalNumber0(X2) )
=> aScalar0(sdtlbdtrb0(X1,X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mElmSc) ).
fof(c_0_18,plain,
! [X2] :
( ~ aNaturalNumber0(X2)
| iLess0(X2,szszuzczcdt0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH])]) ).
fof(c_0_19,hypothesis,
! [X2,X3] :
( aVector0(sziznziztdt0(xs))
& szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs)
& ( ~ aNaturalNumber0(X2)
| sdtlbdtrb0(sziznziztdt0(xs),X2) = sdtlbdtrb0(xs,X2) )
& aVector0(sziznziztdt0(xs))
& szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs)
& ( ~ aNaturalNumber0(X3)
| sdtlbdtrb0(sziznziztdt0(xs),X3) = sdtlbdtrb0(xs,X3) ) ),
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)],[m__1568])])])])]) ).
fof(c_0_20,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_21,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_22,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])]) ).
fof(c_0_23,hypothesis,
! [X2,X3] :
( aVector0(sziznziztdt0(xs))
& szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs)
& ( ~ aNaturalNumber0(X2)
| sdtlbdtrb0(sziznziztdt0(xs),X2) = sdtlbdtrb0(xs,X2) )
& aVector0(sziznziztdt0(xs))
& szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs)
& ( ~ aNaturalNumber0(X3)
| sdtlbdtrb0(sziznziztdt0(xs),X3) = sdtlbdtrb0(xs,X3) )
& sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))) ),
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)],[m__1590])])])])]) ).
fof(c_0_24,plain,
! [X2] :
( ~ aScalar0(X2)
| sdtlseqdt0(sz0z00,sdtasdt0(X2,X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqPos])]) ).
fof(c_0_25,plain,
! [X2] :
( ( sdtpldt0(X2,sz0z00) = X2
| ~ aScalar0(X2) )
& ( sdtpldt0(sz0z00,X2) = X2
| ~ aScalar0(X2) )
& ( sdtasdt0(X2,sz0z00) = sz0z00
| ~ aScalar0(X2) )
& ( sdtasdt0(sz0z00,X2) = sz0z00
| ~ aScalar0(X2) )
& ( sdtpldt0(X2,smndt0(X2)) = sz0z00
| ~ aScalar0(X2) )
& ( sdtpldt0(smndt0(X2),X2) = sz0z00
| ~ aScalar0(X2) )
& ( smndt0(smndt0(X2)) = X2
| ~ aScalar0(X2) )
& ( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScZero])])]) ).
fof(c_0_26,negated_conjecture,
~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_27,hypothesis,
! [X2] :
( ~ aVector0(X2)
| ~ iLess0(aDimensionOf0(X2),aDimensionOf0(xs))
| sdtlseqdt0(sz0z00,sdtasasdt0(X2,X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1516])]) ).
cnf(c_0_28,plain,
( iLess0(X1,szszuzczcdt0(X1))
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_29,hypothesis,
szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_30,plain,
( sdtlseqdt0(sz0z00,sdtpldt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_31,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_21]) ).
cnf(c_0_32,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_33,hypothesis,
sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_34,plain,
aScalar0(sz0z00),
inference(split_conjunct,[status(thm)],[mSZeroSc]) ).
cnf(c_0_35,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_36,plain,
( sdtasdt0(sz0z00,X1) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_37,negated_conjecture,
~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
inference(fof_simplification,[status(thm)],[c_0_26]) ).
cnf(c_0_38,hypothesis,
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ iLess0(aDimensionOf0(X1),aDimensionOf0(xs))
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_39,hypothesis,
( iLess0(aDimensionOf0(sziznziztdt0(xs)),aDimensionOf0(xs))
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_40,hypothesis,
aVector0(sziznziztdt0(xs)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_41,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_30,c_0_31]) ).
cnf(c_0_42,hypothesis,
( sdtlseqdt0(X1,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).
cnf(c_0_43,hypothesis,
aVector0(xs),
inference(split_conjunct,[status(thm)],[m__1542]) ).
cnf(c_0_44,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_34])]) ).
cnf(c_0_45,hypothesis,
aDimensionOf0(xs) != sz00,
inference(split_conjunct,[status(thm)],[m__1542_01]) ).
cnf(c_0_46,negated_conjecture,
~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_47,hypothesis,
( sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)))
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).
cnf(c_0_48,hypothesis,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)))
| ~ aScalar0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))))
| ~ aScalar0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs))) ),
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_41,c_0_42]),c_0_43]),c_0_44]),c_0_34])]),c_0_45]),c_0_46]) ).
cnf(c_0_49,hypothesis,
( sdtlseqdt0(X1,sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)))
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)))
| ~ aScalar0(X1)
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_47]),c_0_34])]) ).
fof(c_0_50,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_51,hypothesis,
( ~ aScalar0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))))
| ~ aScalar0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)))
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_44]),c_0_34])]) ).
cnf(c_0_52,plain,
( aScalar0(sdtasasdt0(X1,X2))
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
fof(c_0_53,plain,
! [X3,X4] :
( ~ aScalar0(X3)
| ~ aScalar0(X4)
| aScalar0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulSc])]) ).
fof(c_0_54,plain,
! [X2] :
( ( aNaturalNumber0(szszuzczcdt0(X2))
| ~ aNaturalNumber0(X2) )
& ( szszuzczcdt0(X2) != sz00
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNat])])]) ).
cnf(c_0_55,hypothesis,
( ~ aScalar0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))))
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_40])]) ).
cnf(c_0_56,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
fof(c_0_57,plain,
! [X2] :
( ~ aVector0(X2)
| aNaturalNumber0(aDimensionOf0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDimNat])]) ).
cnf(c_0_58,plain,
( aNaturalNumber0(szszuzczcdt0(X1))
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_59,hypothesis,
( ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xs)))
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_60,plain,
( aNaturalNumber0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
fof(c_0_61,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_62,hypothesis,
( aNaturalNumber0(aDimensionOf0(xs))
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))) ),
inference(spm,[status(thm)],[c_0_58,c_0_29]) ).
cnf(c_0_63,hypothesis,
~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xs))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_40])]) ).
cnf(c_0_64,plain,
( aScalar0(sdtlbdtrb0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_65,hypothesis,
aNaturalNumber0(aDimensionOf0(xs)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_60]),c_0_40])]) ).
cnf(c_0_66,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_43]),c_0_65])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG049+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon May 30 10:15:34 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.24/1.41 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.24/1.41 # Preprocessing time : 0.017 s
% 0.24/1.41
% 0.24/1.41 # Proof found!
% 0.24/1.41 # SZS status Theorem
% 0.24/1.41 # SZS output start CNFRefutation
% See solution above
% 0.24/1.41 # Proof object total steps : 67
% 0.24/1.41 # Proof object clause steps : 33
% 0.24/1.41 # Proof object formula steps : 34
% 0.24/1.41 # Proof object conjectures : 4
% 0.24/1.41 # Proof object clause conjectures : 1
% 0.24/1.41 # Proof object formula conjectures : 3
% 0.24/1.41 # Proof object initial clauses used : 19
% 0.24/1.41 # Proof object initial formulas used : 18
% 0.24/1.41 # Proof object generating inferences : 14
% 0.24/1.41 # Proof object simplifying inferences : 26
% 0.24/1.41 # Training examples: 0 positive, 0 negative
% 0.24/1.41 # Parsed axioms : 42
% 0.24/1.41 # Removed by relevancy pruning/SinE : 0
% 0.24/1.41 # Initial clauses : 72
% 0.24/1.41 # Removed in clause preprocessing : 5
% 0.24/1.41 # Initial clauses in saturation : 67
% 0.24/1.41 # Processed clauses : 758
% 0.24/1.41 # ...of these trivial : 15
% 0.24/1.41 # ...subsumed : 438
% 0.24/1.41 # ...remaining for further processing : 305
% 0.24/1.41 # Other redundant clauses eliminated : 1
% 0.24/1.41 # Clauses deleted for lack of memory : 0
% 0.24/1.41 # Backward-subsumed : 19
% 0.24/1.41 # Backward-rewritten : 2
% 0.24/1.41 # Generated clauses : 9570
% 0.24/1.41 # ...of the previous two non-trivial : 8637
% 0.24/1.41 # Contextual simplify-reflections : 281
% 0.24/1.41 # Paramodulations : 9556
% 0.24/1.41 # Factorizations : 0
% 0.24/1.41 # Equation resolutions : 14
% 0.24/1.41 # Current number of processed clauses : 284
% 0.24/1.41 # Positive orientable unit clauses : 11
% 0.24/1.41 # Positive unorientable unit clauses: 0
% 0.24/1.41 # Negative unit clauses : 4
% 0.24/1.41 # Non-unit-clauses : 269
% 0.24/1.41 # Current number of unprocessed clauses: 7778
% 0.24/1.41 # ...number of literals in the above : 50943
% 0.24/1.41 # Current number of archived formulas : 0
% 0.24/1.41 # Current number of archived clauses : 21
% 0.24/1.41 # Clause-clause subsumption calls (NU) : 17468
% 0.24/1.41 # Rec. Clause-clause subsumption calls : 8134
% 0.24/1.41 # Non-unit clause-clause subsumptions : 735
% 0.24/1.41 # Unit Clause-clause subsumption calls : 53
% 0.24/1.41 # Rewrite failures with RHS unbound : 0
% 0.24/1.41 # BW rewrite match attempts : 2
% 0.24/1.41 # BW rewrite match successes : 2
% 0.24/1.41 # Condensation attempts : 0
% 0.24/1.41 # Condensation successes : 0
% 0.24/1.41 # Termbank termtop insertions : 208230
% 0.24/1.41
% 0.24/1.41 # -------------------------------------------------
% 0.24/1.41 # User time : 0.173 s
% 0.24/1.41 # System time : 0.004 s
% 0.24/1.41 # Total time : 0.177 s
% 0.24/1.41 # Maximum resident set size: 11476 pages
% 0.24/23.40 eprover: CPU time limit exceeded, terminating
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.43 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.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.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.mepo_128.in
% 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.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.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.mepo_128.in
% 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.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.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
% 0.24/23.46 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.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.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.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
% 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
% 0.24/23.47 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.mepo_128.in
% 0.24/23.47 eprover: eprover: No such file or directory
% 0.24/23.47 Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 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
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------