%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN367+1 : TPTP v9.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n024.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 09:27:33 PM UTC 2025
% Result : Theorem 0.13s 0.33s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 17 ( 5 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 35 ( 15 ~; 14 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 12 ( 4 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2118,plain,
( ! [X] :
( ( p
& big_q(X) )
| ( ~ p
& big_r(X) ) )
=> ( ! [X] : big_q(X)
| ! [X] : big_r(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2118) ).
fof(x2118_negated,plain,
~ ( ! [X] :
( ( p
& big_q(X) )
| ( ~ p
& big_r(X) ) )
=> ( ! [X] : big_q(X)
| ! [X] : big_r(X) ) ),
inference(negate_conjecture,[status(cth)],[x2118]) ).
cnf(0,plain,
( sP0(X0)
| p ),
inference(cnf,[status(esa)],[x2118_negated]) ).
cnf(l0,plain,
( sP0(X0_1)
| p ),
inference(instantiation,[status(thm)],[0]) ).
cnf(5,plain,
( ~ p
| ~ sP0(X0) ),
inference(cnf,[status(esa)],[x2118_negated]) ).
cnf(l1,plain,
( ~ p
| ~ sP0(X0_1) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l2,plain,
( ~ p
| ~ sP0(sK1) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(1,plain,
( sP0(X0)
| big_q(X0) ),
inference(cnf,[status(esa)],[x2118_negated]) ).
cnf(l3,plain,
( sP0(sK1)
| big_q(sK1) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l4,plain,
( sP0(sK2)
| p ),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
~ big_q(sK1),
inference(cnf,[status(esa)],[x2118_negated]) ).
cnf(l5,plain,
~ big_q(sK1),
inference(instantiation,[status(thm)],[2]) ).
cnf(4,plain,
( big_r(X0)
| ~ sP0(X0) ),
inference(cnf,[status(esa)],[x2118_negated]) ).
cnf(l6,plain,
( big_r(sK2)
| ~ sP0(sK2) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(3,plain,
~ big_r(sK2),
inference(cnf,[status(esa)],[x2118_negated]) ).
cnf(l7,plain,
~ big_r(sK2),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l6,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN367+1 : TPTP v9.0.0. Released v2.0.0.
% 0.10/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Jul 22 15:57:34 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % launching worker at depth: 4
% 0.13/0.33 % launching worker at depth: 8
% 0.13/0.33 % launching worker at depth: 1
% 0.13/0.33 % launching worker at depth: 2
% 0.13/0.33 % launching worker at depth: 5
% 0.13/0.33 % launching worker at depth: 6
% 0.13/0.33 % launching worker at depth: 7
% 0.13/0.33 % launching worker at depth: 3
% 0.13/0.33 % SZS status Theorem for theBenchmark
% 0.13/0.33 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------