%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN379+1 : TPTP v9.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/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 09:27:35 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 : 7 ( 5 unt; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 0 |; 2 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 19 ( 6 sgn 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2131,plain,
( ! [X] : big_p(X)
=> ? [Y] :
( ! [X,Z] : big_q(X,Y,Z)
=> ~ ! [Z] :
( big_p(Z)
& ~ big_q(Y,Y,Z) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2131) ).
fof(x2131_negated,plain,
~ ( ! [X] : big_p(X)
=> ? [Y] :
( ! [X,Z] : big_q(X,Y,Z)
=> ~ ! [Z] :
( big_p(Z)
& ~ big_q(Y,Y,Z) ) ) ),
inference(negate_conjecture,[status(cth)],[x2131]) ).
cnf(1,plain,
big_q(X0,X1,X2),
inference(cnf,[status(esa)],[x2131_negated]) ).
cnf(l0,plain,
big_q(X0_1,X0_1,X1_1),
inference(instantiation,[status(thm)],[1]) ).
cnf(3,plain,
~ big_q(X0,X0,X1),
inference(cnf,[status(esa)],[x2131_negated]) ).
cnf(l1,plain,
~ big_q(X0_1,X0_1,X1_1),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN379+1 : TPTP v9.0.0. Released v2.0.0.
% 0.13/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/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 15:58:34 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % launching worker at depth: 4
% 0.13/0.33 % launching worker at depth: 2
% 0.13/0.33 % launching worker at depth: 1
% 0.13/0.33 % launching worker at depth: 3
% 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: 8
% 0.13/0.33 % SZS status Theorem for theBenchmark
% 0.13/0.33 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------