%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN729+1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n023.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 09:28:23 PM UTC 2025
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 39 ( 13 ~; 10 |; 8 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 15 ( 0 sgn 6 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm72,plain,
( ( ! [X] :
? [Y] :
( p(X)
=> ( l(X,g(h(Y)))
& p(Y) ) )
& ! [W] :
( p(W)
=> ( p(g(W))
& p(h(W)) ) ) )
=> ! [X] :
( p(X)
=> ? [Y] :
( l(X,Y)
& p(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm72) ).
% launching worker at depth: 11
fof(thm72_negated,plain,
~ ( ( ! [X] :
? [Y] :
( p(X)
=> ( l(X,g(h(Y)))
& p(Y) ) )
& ! [W] :
( p(W)
=> ( p(g(W))
& p(h(W)) ) ) )
=> ! [X] :
( p(X)
=> ? [Y] :
( l(X,Y)
& p(Y) ) ) ),
inference(negate_conjecture,[status(cth)],[thm72]) ).
cnf(4,plain,
p(sK2),
inference(cnf,[status(esa)],[thm72_negated]) ).
cnf(l0,plain,
p(sK2),
inference(instantiation,[status(thm)],[4]) ).
cnf(1,plain,
( ~ p(X0)
| p(sK1(X0)) ),
inference(cnf,[status(esa)],[thm72_negated]) ).
cnf(l1,plain,
( ~ p(sK2)
| p(sK1(sK2)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(3,plain,
( ~ p(X0)
| p(h(X0)) ),
inference(cnf,[status(esa)],[thm72_negated]) ).
cnf(l2,plain,
( ~ p(sK1(sK2))
| p(h(sK1(sK2))) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(2,plain,
( ~ p(X0)
| p(g(X0)) ),
inference(cnf,[status(esa)],[thm72_negated]) ).
cnf(l3,plain,
( ~ p(h(sK1(sK2)))
| p(g(h(sK1(sK2)))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(5,plain,
( ~ l(sK2,X0)
| ~ p(X0) ),
inference(cnf,[status(esa)],[thm72_negated]) ).
cnf(l4,plain,
( ~ l(sK2,g(h(sK1(sK2))))
| ~ p(g(h(sK1(sK2)))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(0,plain,
( ~ p(X0)
| l(X0,g(h(sK1(X0)))) ),
inference(cnf,[status(esa)],[thm72_negated]) ).
cnf(l6,plain,
( ~ p(sK2)
| l(sK2,g(h(sK1(sK2)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN729+1 : TPTP v9.0.0. Released v2.5.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n023.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 : Tue Jul 22 17:48:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 4
% 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: 8
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------