%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN066+1 : TPTP v9.0.0. Bugfixed v3.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n021.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 09:26:46 PM UTC 2025
% Result : Theorem 0.19s 0.34s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 22 ( 9 ~; 7 |; 2 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 31 ( 5 sgn 7 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel37,plain,
! [X] :
? [Y] : big_r(X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel37) ).
fof(pel37_negated,plain,
~ ! [X] :
? [Y] : big_r(X,Y),
inference(negate_conjecture,[status(cth)],[pel37]) ).
cnf(5,plain,
~ big_r(sK5,X0),
inference(cnf,[status(esa)],[pel37_negated]) ).
cnf(l0,plain,
~ big_r(sK5,sK5),
inference(instantiation,[status(thm)],[5]) ).
fof(pel37_3,plain,
( ? [X,Y] : big_q(X,Y)
=> ! [Z] : big_r(Z,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel37_3) ).
cnf(4,plain,
( ~ big_q(X0,X1)
| big_r(X2,X2) ),
inference(cnf,[status(esa)],[pel37_3]) ).
cnf(l1,plain,
( ~ big_q(sK3(X0_2,X1_2),sK1(X0_2))
| big_r(sK5,sK5) ),
inference(instantiation,[status(thm)],[4]) ).
fof(pel37_1,plain,
! [Z] :
? [W] :
! [X] :
? [Y] :
( ( big_p(X,Z)
=> big_p(Y,W) )
& big_p(Y,Z)
& ( big_p(Y,W)
=> ? [U] : big_q(U,W) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel37_1) ).
cnf(2,plain,
( ~ big_p(sK2(X0,X1),sK1(X0))
| big_q(sK3(X0,X1),sK1(X0)) ),
inference(cnf,[status(esa)],[pel37_1]) ).
cnf(l2,plain,
( ~ big_p(sK2(X0_2,X1_2),sK1(X0_2))
| big_q(sK3(X0_2,X1_2),sK1(X0_2)) ),
inference(instantiation,[status(thm)],[2]) ).
fof(pel37_2,plain,
! [X,Z] :
( ~ big_p(X,Z)
=> ? [Y] : big_q(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel37_2) ).
cnf(3,plain,
( big_q(sK4(X0,X1),X1)
| big_p(X0,X1) ),
inference(cnf,[status(esa)],[pel37_2]) ).
cnf(l3,plain,
( big_q(sK4(sK2(X0_2,X1_2),sK1(X0_2)),sK1(X0_2))
| big_p(sK2(X0_2,X1_2),sK1(X0_2)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l4,plain,
( ~ big_q(sK4(sK2(X0_2,X1_2),sK1(X0_2)),sK1(X0_2))
| big_r(sK5,sK5) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : SYN066+1 : TPTP v9.0.0. Bugfixed v3.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.34 % CPULimit : 300
% 0.19/0.34 % WCLimit : 300
% 0.19/0.34 % DateTime : Tue Jul 22 15:31:34 EDT 2025
% 0.19/0.34 % CPUTime :
% 0.19/0.34 % launching worker at depth: 1
% 0.19/0.34 % launching worker at depth: 3
% 0.19/0.34 % launching worker at depth: 2
% 0.19/0.34 % launching worker at depth: 4
% 0.19/0.34 % launching worker at depth: 5
% 0.19/0.34 % launching worker at depth: 6
% 0.19/0.34 % launching worker at depth: 7
% 0.19/0.34 % launching worker at depth: 8
% 0.19/0.34 % launching worker at depth: 9
% 0.19/0.34 % SZS status Theorem for theBenchmark
% 0.19/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------