%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG046+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 : n018.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 0.18s 0.48s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 13 unt; 0 def)
% Number of atoms : 59 ( 20 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 50 ( 19 ~; 16 |; 11 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
sdtasdt0(smndt0(xx),smndt0(xy)) = sdtasdt0(xx,xy),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
sdtasdt0(smndt0(xx),smndt0(xy)) != sdtasdt0(xx,xy),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(30,plain,
sdtasdt0(smndt0(xx),smndt0(xy)) != sdtasdt0(xx,xy),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
sdtasdt0(smndt0(xx),smndt0(xy)) != sdtasdt0(xx,xy),
inference(instantiation,[status(thm)],[30]) ).
fof(mMNeg,plain,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> ( sdtasdt0(W0,smndt0(W1)) = smndt0(sdtasdt0(W0,W1))
& sdtasdt0(smndt0(W0),W1) = smndt0(sdtasdt0(W0,W1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMNeg) ).
cnf(27,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1)) ),
inference(cnf,[status(esa)],[mMNeg]) ).
cnf(l4,plain,
( ~ aScalar0(xx)
| ~ aScalar0(smndt0(xy))
| sdtasdt0(smndt0(xx),smndt0(xy)) = smndt0(sdtasdt0(xx,smndt0(xy))) ),
inference(instantiation,[status(thm)],[27]) ).
fof(mScZero,plain,
! [W0] :
( aScalar0(W0)
=> ( sdtpldt0(W0,sz0z00) = W0
& sdtpldt0(sz0z00,W0) = W0
& sdtasdt0(W0,sz0z00) = sz0z00
& sdtasdt0(sz0z00,W0) = sz0z00
& sdtpldt0(W0,smndt0(W0)) = sz0z00
& sdtpldt0(smndt0(W0),W0) = sz0z00
& smndt0(smndt0(W0)) = W0
& smndt0(sz0z00) = sz0z00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScZero) ).
cnf(17,plain,
( ~ aScalar0(X0)
| smndt0(smndt0(X0)) = X0 ),
inference(cnf,[status(esa)],[mScZero]) ).
cnf(l5,plain,
( ~ aScalar0(sdtasdt0(xx,xy))
| smndt0(smndt0(sdtasdt0(xx,xy))) = sdtasdt0(xx,xy) ),
inference(instantiation,[status(thm)],[17]) ).
fof(mMulSc,plain,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> aScalar0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
cnf(9,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(cnf,[status(esa)],[mMulSc]) ).
cnf(l8,plain,
( ~ aScalar0(xx)
| ~ aScalar0(xy)
| aScalar0(sdtasdt0(xx,xy)) ),
inference(instantiation,[status(thm)],[9]) ).
fof(m__799,plain,
( aScalar0(xx)
& aScalar0(xy) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__799) ).
cnf(29,plain,
aScalar0(xy),
inference(cnf,[status(esa)],[m__799]) ).
cnf(l11,plain,
aScalar0(xy),
inference(instantiation,[status(thm)],[29]) ).
fof(mNegSc,plain,
! [W0] :
( aScalar0(W0)
=> aScalar0(smndt0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNegSc) ).
cnf(10,plain,
( ~ aScalar0(X0)
| aScalar0(smndt0(X0)) ),
inference(cnf,[status(esa)],[mNegSc]) ).
cnf(l56,plain,
( ~ aScalar0(xy)
| aScalar0(smndt0(xy)) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(28,plain,
aScalar0(xx),
inference(cnf,[status(esa)],[m__799]) ).
cnf(l16,plain,
aScalar0(xx),
inference(instantiation,[status(thm)],[28]) ).
cnf(l6,plain,
aScalar0(xx),
inference(instantiation,[status(thm)],[28]) ).
cnf(l62,plain,
aScalar0(xy),
inference(instantiation,[status(thm)],[29]) ).
cnf(26,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ),
inference(cnf,[status(esa)],[mMNeg]) ).
cnf(l7,plain,
( ~ aScalar0(xx)
| ~ aScalar0(xy)
| sdtasdt0(xx,smndt0(xy)) = smndt0(sdtasdt0(xx,xy)) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(l18,plain,
aScalar0(xx),
inference(instantiation,[status(thm)],[28]) ).
cnf(l17,plain,
aScalar0(xy),
inference(instantiation,[status(thm)],[29]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l4,l5,l8,l11,l56,l16,l6,l62,l7,l18,l17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG046+1 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n018.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 17:42:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 6
% 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
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.34 % launching worker at depth: 11
% 0.18/0.39 % launching worker at depth: 12
% 0.18/0.48 % SZS status Theorem for theBenchmark
% 0.18/0.48 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------