%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG087+2 : 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 : n031.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 03:02:51 PM UTC 2025
% Result : Theorem 0.18s 0.35s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 28 ( 8 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 23 ( 7 ~; 4 |; 12 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 0 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
? [W0,W1] :
( aElementOf0(W0,xI)
& aElementOf0(W1,xJ)
& xy = sdtpldt0(W0,W1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ? [W0,W1] :
( aElementOf0(W0,xI)
& aElementOf0(W1,xJ)
& xy = sdtpldt0(W0,W1) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(76,plain,
( xy != sdtpldt0(X0,X1)
| ~ aElementOf0(X0,xI)
| ~ aElementOf0(X1,xJ) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( xy != sdtpldt0(sK18,sK19)
| ~ aElementOf0(sK18,xI)
| ~ aElementOf0(sK19,xJ) ),
inference(instantiation,[status(thm)],[76]) ).
fof(m__901,plain,
( ? [W0,W1] :
( aElementOf0(W0,xI)
& aElementOf0(W1,xJ)
& sdtpldt0(W0,W1) = xx )
& aElementOf0(xx,sdtpldt1(xI,xJ))
& ? [W0,W1] :
( aElementOf0(W0,xI)
& aElementOf0(W1,xJ)
& sdtpldt0(W0,W1) = xy )
& aElementOf0(xy,sdtpldt1(xI,xJ))
& aElement0(xz) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__901) ).
cnf(70,plain,
sdtpldt0(sK18,sK19) = xy,
inference(cnf,[status(esa)],[m__901]) ).
cnf(l6,plain,
sdtpldt0(sK18,sK19) = xy,
inference(instantiation,[status(thm)],[70]) ).
cnf(69,plain,
aElementOf0(sK19,xJ),
inference(cnf,[status(esa)],[m__901]) ).
cnf(l4,plain,
aElementOf0(sK19,xJ),
inference(instantiation,[status(thm)],[69]) ).
cnf(68,plain,
aElementOf0(sK18,xI),
inference(cnf,[status(esa)],[m__901]) ).
cnf(l1,plain,
aElementOf0(sK18,xI),
inference(instantiation,[status(thm)],[68]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l6,l4,l1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG087+2 : TPTP v9.0.0. Released v4.0.0.
% 0.12/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n031.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 17:54:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.18/0.34 % launching worker at depth: 4
% 0.18/0.34 % launching worker at depth: 2
% 0.18/0.34 % launching worker at depth: 1
% 0.18/0.34 % launching worker at depth: 3
% 0.18/0.34 % launching worker at depth: 5
% 0.18/0.34 % launching worker at depth: 6
% 0.18/0.34 % launching worker at depth: 7
% 0.18/0.34 % launching worker at depth: 8
% 0.18/0.34 % launching worker at depth: 9
% 0.18/0.35 % SZS status Theorem for theBenchmark
% 0.18/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------