%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG050+1 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 : 300s
% DateTime : Fri Jul 25 03:02:44 PM UTC 2025
% Result : Theorem 14.14s 2.19s
% Output : CNFRefutation 14.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 11 unt; 0 def)
% Number of atoms : 64 ( 17 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 65 ( 26 ~; 26 |; 4 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( ( aDimensionOf0(xs) != sz00
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( ( aDimensionOf0(xs) != sz00
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(53,plain,
~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
inference(instantiation,[status(thm)],[53]) ).
fof(mLETot,plain,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> ( sdtlseqdt0(W0,W1)
| sdtlseqdt0(W1,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETot) ).
cnf(34,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0) ),
inference(cnf,[status(esa)],[mLETot]) ).
cnf(l3,plain,
( ~ aScalar0(sdtasasdt0(xs,xs))
| ~ aScalar0(sdtasasdt0(xs,xs))
| sdtlseqdt0(sdtasasdt0(xs,xs),sdtasasdt0(xs,xs))
| sdtlseqdt0(sdtasasdt0(xs,xs),sdtasasdt0(xs,xs)) ),
inference(instantiation,[status(thm)],[34]) ).
fof(mDefSPZ,plain,
! [W0,W1] :
( ( aVector0(W0)
& aVector0(W1) )
=> ( ( aDimensionOf0(W0) = aDimensionOf0(W1)
& aDimensionOf0(W1) = sz00 )
=> sdtasasdt0(W0,W1) = sz0z00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSPZ) ).
cnf(48,plain,
( aDimensionOf0(X0) != aDimensionOf0(X1)
| aDimensionOf0(X1) != sz00
| ~ aVector0(X0)
| ~ aVector0(X1)
| sdtasasdt0(X0,X1) = sz0z00 ),
inference(cnf,[status(esa)],[mDefSPZ]) ).
cnf(l151,plain,
( aDimensionOf0(xs) != aDimensionOf0(xs)
| aDimensionOf0(xs) != sz00
| ~ aVector0(xs)
| ~ aVector0(xs)
| sdtasasdt0(xs,xs) = sz0z00 ),
inference(instantiation,[status(thm)],[48]) ).
fof(mScPr,plain,
! [W0,W1] :
( ( aVector0(W0)
& aVector0(W1) )
=> ( aDimensionOf0(W0) = aDimensionOf0(W1)
=> aScalar0(sdtasasdt0(W0,W1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScPr) ).
cnf(47,plain,
( aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1)
| aScalar0(sdtasasdt0(X0,X1)) ),
inference(cnf,[status(esa)],[mScPr]) ).
cnf(l12,plain,
( aDimensionOf0(xs) != aDimensionOf0(xs)
| ~ aVector0(xs)
| ~ aVector0(xs)
| aScalar0(sdtasasdt0(xs,xs)) ),
inference(instantiation,[status(thm)],[47]) ).
cnf(l17,plain,
( aDimensionOf0(xs) != aDimensionOf0(xs)
| ~ aVector0(xs)
| ~ aVector0(xs)
| aScalar0(sdtasasdt0(xs,xs)) ),
inference(instantiation,[status(thm)],[47]) ).
fof(m__1542,plain,
aVector0(xs),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1542) ).
cnf(50,plain,
aVector0(xs),
inference(cnf,[status(esa)],[m__1542]) ).
cnf(l166,plain,
aVector0(xs),
inference(instantiation,[status(thm)],[50]) ).
cnf(l158,plain,
aVector0(xs),
inference(instantiation,[status(thm)],[50]) ).
cnf(l20,plain,
aVector0(xs),
inference(instantiation,[status(thm)],[50]) ).
cnf(l563,plain,
aVector0(xs),
inference(instantiation,[status(thm)],[50]) ).
cnf(l286,plain,
aVector0(xs),
inference(instantiation,[status(thm)],[50]) ).
cnf(l18,plain,
aVector0(xs),
inference(instantiation,[status(thm)],[50]) ).
cnf(52,plain,
( aDimensionOf0(xs) = sz00
| sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l152,plain,
( aDimensionOf0(xs) = sz00
| sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
inference(instantiation,[status(thm)],[52]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l151,l12,l17,l166,l158,l20,l563,l286,l18,l152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : RNG050+1 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n026.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 : 300
% 0.12/0.33 % DateTime : Mon Jul 21 17:43:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.18/0.47 % launching worker at depth: 11
% 14.14/2.19 % SZS status Theorem for theBenchmark
% 14.14/2.19 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------