%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN315+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 : n023.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 0.13s 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 1 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 26 ( 11 ~; 9 |; 0 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 13 ( 9 sgn 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_2_1,plain,
? [X] :
! [Y] :
( ( big_f(X)
<=> p )
=> ( big_f(Y)
<=> p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_2_1) ).
fof(church_46_2_1_negated,plain,
~ ? [X] :
! [Y] :
( ( big_f(X)
<=> p )
=> ( big_f(Y)
<=> p ) ),
inference(negate_conjecture,[status(cth)],[church_46_2_1]) ).
cnf(2,plain,
( big_f(sK1(X0))
| p ),
inference(cnf,[status(esa)],[church_46_2_1_negated]) ).
cnf(l0,plain,
( big_f(sK1(X0_1))
| p ),
inference(instantiation,[status(thm)],[2]) ).
cnf(3,plain,
( ~ big_f(sK1(X0))
| ~ p ),
inference(cnf,[status(esa)],[church_46_2_1_negated]) ).
cnf(l1,plain,
( ~ big_f(sK1(X0_1))
| ~ p ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l2,plain,
( ~ big_f(sK1(X0_2))
| ~ p ),
inference(instantiation,[status(thm)],[3]) ).
cnf(0,plain,
( ~ big_f(X0)
| p ),
inference(cnf,[status(esa)],[church_46_2_1_negated]) ).
cnf(l3,plain,
( ~ big_f(sK1(X0_1))
| p ),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
( ~ p
| big_f(X0) ),
inference(cnf,[status(esa)],[church_46_2_1_negated]) ).
cnf(l4,plain,
( ~ p
| big_f(sK1(X0_2)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN315+1 : TPTP v9.0.0. Released v2.0.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n023.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 15:48:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 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: 5
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % SZS status Theorem for theBenchmark
% 0.13/0.34 % SZS output start CNFRefutation
% See solution above
% 0.13/0.34 % launching worker at depth: 9
%------------------------------------------------------------------------------