%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN381+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 : n028.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 09:27:35 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 : 13 ( 6 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 28 ( 9 ~; 9 |; 4 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 19 ( 1 sgn 10 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2133,plain,
( ( ! [X] :
( ? [Y] : big_q(X,Y)
=> big_p(X) )
& ! [V] :
? [U] : big_q(U,V)
& ! [W,Z] :
( big_q(W,Z)
=> ( big_q(Z,W)
| big_q(Z,Z) ) ) )
=> ! [Z] : big_p(Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2133) ).
fof(x2133_negated,plain,
~ ( ( ! [X] :
( ? [Y] : big_q(X,Y)
=> big_p(X) )
& ! [V] :
? [U] : big_q(U,V)
& ! [W,Z] :
( big_q(W,Z)
=> ( big_q(Z,W)
| big_q(Z,Z) ) ) )
=> ! [Z] : big_p(Z) ),
inference(negate_conjecture,[status(cth)],[x2133]) ).
cnf(1,plain,
big_q(sK1(X0),X0),
inference(cnf,[status(esa)],[x2133_negated]) ).
cnf(l0,plain,
big_q(sK1(sK2),sK2),
inference(instantiation,[status(thm)],[1]) ).
cnf(2,plain,
( ~ big_q(X0,X1)
| big_q(X1,X0)
| big_q(X1,X1) ),
inference(cnf,[status(esa)],[x2133_negated]) ).
cnf(l1,plain,
( ~ big_q(sK1(sK2),sK2)
| big_q(sK2,sK1(sK2))
| big_q(sK2,sK2) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(0,plain,
( ~ big_q(X0,X1)
| big_p(X0) ),
inference(cnf,[status(esa)],[x2133_negated]) ).
cnf(l2,plain,
( ~ big_q(sK2,sK1(sK2))
| big_p(sK2) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l3,plain,
( ~ big_q(sK2,sK2)
| big_p(sK2) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(3,plain,
~ big_p(sK2),
inference(cnf,[status(esa)],[x2133_negated]) ).
cnf(l6,plain,
~ big_p(sK2),
inference(instantiation,[status(thm)],[3]) ).
cnf(l5,plain,
~ big_p(sK2),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l6,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN381+1 : TPTP v9.0.0. Released v2.0.0.
% 0.03/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n028.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 15:59:04 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % launching worker at depth: 5
% 0.13/0.33 % launching worker at depth: 8
% 0.13/0.33 % launching worker at depth: 3
% 0.13/0.33 % launching worker at depth: 4
% 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: 2
% 0.13/0.33 % launching worker at depth: 1
% 0.13/0.33 % launching worker at depth: 9
% 0.13/0.33 % launching worker at depth: 10
% 0.13/0.33 % SZS status Theorem for theBenchmark
% 0.13/0.33 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------