%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN321+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 0.13s 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 1 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 31 ( 11 ~; 10 |; 0 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 35 ( 9 sgn 6 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_3_2,plain,
? [X,Y] :
( ( ? [Z] : big_f(X,Z)
=> ! [Z] : big_g(X,Z) )
=> ( ! [Z] :
( big_g(Z,Z)
=> big_f(Z,Y) )
=> ( big_f(X,Y)
<=> ! [Z] : big_g(X,Z) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_3_2) ).
fof(church_46_3_2_negated,plain,
~ ? [X,Y] :
( ( ? [Z] : big_f(X,Z)
=> ! [Z] : big_g(X,Z) )
=> ( ! [Z] :
( big_g(Z,Z)
=> big_f(Z,Y) )
=> ( big_f(X,Y)
<=> ! [Z] : big_g(X,Z) ) ) ),
inference(negate_conjecture,[status(cth)],[church_46_3_2]) ).
cnf(2,plain,
( big_f(X0,X1)
| big_g(X0,X2) ),
inference(cnf,[status(esa)],[church_46_3_2_negated]) ).
cnf(l0,plain,
( big_f(X0_5,X1_3)
| big_g(X0_5,sK1(X0_5,X1_5)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(3,plain,
( ~ big_f(X0,X1)
| ~ big_g(X0,sK1(X0,X1)) ),
inference(cnf,[status(esa)],[church_46_3_2_negated]) ).
cnf(l1,plain,
( ~ big_f(X0_5,X1_3)
| ~ big_g(X0_5,sK1(X0_5,X1_3)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l2,plain,
( ~ big_f(X0_5,X1_5)
| ~ big_g(X0_5,sK1(X0_5,X1_5)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(0,plain,
( ~ big_f(X0,X1)
| big_g(X0,X2) ),
inference(cnf,[status(esa)],[church_46_3_2_negated]) ).
cnf(l3,plain,
( ~ big_f(X0_5,X1_3)
| big_g(X0_5,sK1(X0_5,X1_3)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l4,plain,
( big_f(X0_5,X1_5)
| big_g(X0_5,X0_5) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
( ~ big_g(X0,X0)
| big_f(X0,X1) ),
inference(cnf,[status(esa)],[church_46_3_2_negated]) ).
cnf(l5,plain,
( ~ big_g(X0_5,X0_5)
| big_f(X0_5,X1_5) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN321+1 : TPTP v9.0.0. Released v2.0.0.
% 0.03/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 22 15:49:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % SZS status Theorem for theBenchmark
% 0.13/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------