%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN323+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 : n031.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 09:27:23 PM UTC 2025
% Result : Theorem 0.10s 0.31s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 1 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 34 ( 15 ~; 9 |; 0 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 19 ( 0 sgn 4 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_4_2,plain,
? [Y] :
( ! [X] :
( ( big_f(X,Y)
=> big_f(Y,X) )
=> big_g(X,Y) )
=> ~ ! [X] :
( ( big_f(X,Y)
=> big_f(Y,X) )
=> ~ big_g(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_4_2) ).
fof(church_46_4_2_negated,plain,
~ ? [Y] :
( ! [X] :
( ( big_f(X,Y)
=> big_f(Y,X) )
=> big_g(X,Y) )
=> ~ ! [X] :
( ( big_f(X,Y)
=> big_f(Y,X) )
=> ~ big_g(X,Y) ) ),
inference(negate_conjecture,[status(cth)],[church_46_4_2]) ).
cnf(0,plain,
( big_f(X0,X1)
| big_g(X0,X1) ),
inference(cnf,[status(esa)],[church_46_4_2_negated]) ).
cnf(l0,plain,
( big_f(X0_3,X0_3)
| big_g(X0_3,X0_3) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(3,plain,
( ~ big_f(X0,X1)
| ~ big_g(X1,X0) ),
inference(cnf,[status(esa)],[church_46_4_2_negated]) ).
cnf(l1,plain,
( ~ big_f(X0_3,X0_3)
| ~ big_g(X0_3,X0_3) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l2,plain,
( ~ big_f(X0_3,X0_3)
| ~ big_g(X0_3,X0_3) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(2,plain,
( ~ big_g(X0,X1)
| big_f(X0,X1) ),
inference(cnf,[status(esa)],[church_46_4_2_negated]) ).
cnf(l4,plain,
( ~ big_g(X0_3,X0_3)
| big_f(X0_3,X0_3) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
( ~ big_f(X0,X1)
| big_g(X1,X0) ),
inference(cnf,[status(esa)],[church_46_4_2_negated]) ).
cnf(l3,plain,
( ~ big_f(X0_3,X0_3)
| big_g(X0_3,X0_3) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYN323+1 : TPTP v9.0.0. Released v2.0.0.
% 0.00/0.10 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.31 % Computer : n031.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Jul 22 15:49:34 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % launching worker at depth: 1
% 0.10/0.31 % launching worker at depth: 3
% 0.10/0.31 % launching worker at depth: 4
% 0.10/0.31 % launching worker at depth: 8
% 0.10/0.31 % launching worker at depth: 5
% 0.10/0.31 % launching worker at depth: 6
% 0.10/0.31 % launching worker at depth: 7
% 0.10/0.31 % launching worker at depth: 2
% 0.10/0.31 % SZS status Theorem for theBenchmark
% 0.10/0.31 % SZS output start CNFRefutation
% See solution above
% 0.10/0.31 % launching worker at depth: 9
%------------------------------------------------------------------------------