%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN732+1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/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 09:28:24 PM UTC 2025
% Result : Theorem 0.12s 0.32s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 11 ( 3 ~; 2 |; 0 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 17 ( 2 sgn 6 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x3411,plain,
( ! [Y] :
( ! [X] : p(X,Y)
=> ! [U] : q(U,Y) )
=> ? [Z] :
( ? [V] : p(V,Z)
=> ? [W] :
( p(Z,W)
| q(W,Z) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x3411) ).
fof(x3411_negated,plain,
~ ( ! [Y] :
( ! [X] : p(X,Y)
=> ! [U] : q(U,Y) )
=> ? [Z] :
( ? [V] : p(V,Z)
=> ? [W] :
( p(Z,W)
| q(W,Z) ) ) ),
inference(negate_conjecture,[status(cth)],[x3411]) ).
cnf(1,plain,
p(sK2(X0),X0),
inference(cnf,[status(esa)],[x3411_negated]) ).
cnf(l0,plain,
p(sK2(X1_1),X1_1),
inference(instantiation,[status(thm)],[1]) ).
cnf(2,plain,
~ p(X0,X1),
inference(cnf,[status(esa)],[x3411_negated]) ).
cnf(l1,plain,
~ p(sK2(X1_1),X1_1),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN732+1 : TPTP v9.0.0. Released v2.5.0.
% 0.06/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.32 % Computer : n023.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Jul 22 17:48:49 EDT 2025
% 0.12/0.32 % CPUTime :
% 0.12/0.32 % launching worker at depth: 1
% 0.12/0.32 % launching worker at depth: 6
% 0.12/0.32 % launching worker at depth: 7
% 0.12/0.32 % launching worker at depth: 2
% 0.12/0.32 % launching worker at depth: 5
% 0.12/0.32 % launching worker at depth: 3
% 0.12/0.32 % launching worker at depth: 8
% 0.12/0.32 % launching worker at depth: 4
% 0.12/0.32 % SZS status Theorem for theBenchmark
% 0.12/0.32 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------