%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG044+1 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 03:02:43 PM UTC 2025
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 19 unt; 0 def)
% Number of atoms : 57 ( 11 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 50 ( 22 ~; 19 |; 7 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(29,plain,
sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
inference(instantiation,[status(thm)],[29]) ).
fof(mDistr,plain,
! [W0,W1,W2] :
( ( aScalar0(W0)
& aScalar0(W1)
& aScalar0(W2) )
=> ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))
& sdtasdt0(sdtpldt0(W0,W1),W2) = sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistr) ).
cnf(24,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) ),
inference(cnf,[status(esa)],[mDistr]) ).
cnf(l2,plain,
( ~ aScalar0(xx)
| ~ aScalar0(xy)
| ~ aScalar0(sdtpldt0(xu,xv))
| sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv))) ),
inference(instantiation,[status(thm)],[24]) ).
fof(m__674,plain,
( aScalar0(xx)
& aScalar0(xy)
& aScalar0(xu)
& aScalar0(xv) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__674) ).
cnf(25,plain,
aScalar0(xx),
inference(cnf,[status(esa)],[m__674]) ).
cnf(l4,plain,
aScalar0(xx),
inference(instantiation,[status(thm)],[25]) ).
cnf(26,plain,
aScalar0(xy),
inference(cnf,[status(esa)],[m__674]) ).
cnf(l9,plain,
aScalar0(xy),
inference(instantiation,[status(thm)],[26]) ).
fof(mSumSc,plain,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> aScalar0(sdtpldt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).
cnf(8,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(cnf,[status(esa)],[mSumSc]) ).
cnf(l6,plain,
( ~ aScalar0(xu)
| ~ aScalar0(xv)
| aScalar0(sdtpldt0(xu,xv)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(23,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(cnf,[status(esa)],[mDistr]) ).
cnf(l5,plain,
( ~ aScalar0(xy)
| ~ aScalar0(xu)
| ~ aScalar0(xv)
| sdtasdt0(xy,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(27,plain,
aScalar0(xu),
inference(cnf,[status(esa)],[m__674]) ).
cnf(l13,plain,
aScalar0(xu),
inference(instantiation,[status(thm)],[27]) ).
cnf(l17,plain,
aScalar0(xu),
inference(instantiation,[status(thm)],[27]) ).
cnf(l10,plain,
aScalar0(xy),
inference(instantiation,[status(thm)],[26]) ).
cnf(l7,plain,
( ~ aScalar0(xx)
| ~ aScalar0(xu)
| ~ aScalar0(xv)
| sdtasdt0(xx,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(28,plain,
aScalar0(xv),
inference(cnf,[status(esa)],[m__674]) ).
cnf(l18,plain,
aScalar0(xv),
inference(instantiation,[status(thm)],[28]) ).
cnf(l16,plain,
aScalar0(xv),
inference(instantiation,[status(thm)],[28]) ).
cnf(l12,plain,
aScalar0(xx),
inference(instantiation,[status(thm)],[25]) ).
cnf(l11,plain,
aScalar0(xu),
inference(instantiation,[status(thm)],[27]) ).
cnf(l8,plain,
aScalar0(xv),
inference(instantiation,[status(thm)],[28]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l4,l9,l6,l5,l13,l17,l10,l7,l18,l16,l12,l11,l8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : RNG044+1 : TPTP v9.0.0. Released v4.0.0.
% 0.04/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n020.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 : 300
% 0.13/0.34 % DateTime : Mon Jul 21 17:42:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.36 % launching worker at depth: 10
% 0.13/0.36 % launching worker at depth: 11
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------