%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN318+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 : n019.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 09:27:22 PM UTC 2025
% Result : Theorem 0.09s 0.30s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 5 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 21 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 13 ( 5 sgn 4 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_2_4,plain,
? [Y] :
( ! [X] :
( big_f(X)
=> ( big_f(Y)
=> big_g(X) ) )
=> ( p
=> ! [X] :
( big_f(X)
=> big_g(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_2_4) ).
fof(church_46_2_4_negated,plain,
~ ? [Y] :
( ! [X] :
( big_f(X)
=> ( big_f(Y)
=> big_g(X) ) )
=> ( p
=> ! [X] :
( big_f(X)
=> big_g(Y) ) ) ),
inference(negate_conjecture,[status(cth)],[church_46_2_4]) ).
% launching worker at depth: 8
cnf(2,plain,
big_f(sK1(X0)),
inference(cnf,[status(esa)],[church_46_2_4_negated]) ).
% launching worker at depth: 9
cnf(l0,plain,
big_f(sK1(X0_0)),
inference(instantiation,[status(thm)],[2]) ).
cnf(0,plain,
( ~ big_f(X0)
| ~ big_f(X1)
| big_g(X1) ),
inference(cnf,[status(esa)],[church_46_2_4_negated]) ).
cnf(l1,plain,
( ~ big_f(sK1(X0_0))
| ~ big_f(sK1(X0_0))
| big_g(sK1(X0_0)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(3,plain,
~ big_g(X0),
inference(cnf,[status(esa)],[church_46_2_4_negated]) ).
cnf(l2,plain,
~ big_g(sK1(X0_0)),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SYN318+1 : TPTP v9.0.0. Released v2.0.0.
% 0.02/0.10 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.30 % Computer : n019.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Jul 22 15:48:34 EDT 2025
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % launching worker at depth: 3
% 0.09/0.30 % launching worker at depth: 4
% 0.09/0.30 % launching worker at depth: 1
% 0.09/0.30 % launching worker at depth: 2
% 0.09/0.30 % launching worker at depth: 5
% 0.09/0.30 % SZS status Theorem for theBenchmark
% 0.09/0.30 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------