%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN333+1 : TPTP v9.2.0. 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 : n029.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 : Wed Oct 8 05:03:14 PM UTC 2025
% Result : Theorem 0.14s 0.35s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 39 ( 15 ~; 12 |; 8 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 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 : 30 ( 3 sgn 2 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_14_5,plain,
? [X,Y] :
! [Z] :
( big_f(X,Y)
=> ( big_f(Y,Z)
& big_f(Z,Z)
& ( ( big_f(X,Y)
& big_g(X,Y) )
=> ( big_g(X,Z)
& big_g(Z,Z) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_14_5) ).
fof(church_46_14_5_negated,plain,
~ ? [X,Y] :
! [Z] :
( big_f(X,Y)
=> ( big_f(Y,Z)
& big_f(Z,Z)
& ( ( big_f(X,Y)
& big_g(X,Y) )
=> ( big_g(X,Z)
& big_g(Z,Z) ) ) ) ),
inference(negate_conjecture,[status(cth)],[church_46_14_5]) ).
cnf(0,plain,
big_f(X0,X1),
inference(cnf,[status(esa)],[church_46_14_5_negated]) ).
cnf(l0,plain,
big_f(sK1(X1_10,X0_3),sK1(X1_10,X0_3)),
inference(instantiation,[status(thm)],[0]) ).
cnf(3,plain,
( ~ big_g(X0,sK1(X0,X1))
| ~ big_g(sK1(X0,X1),sK1(X0,X1))
| ~ big_f(X1,sK1(X0,X1))
| ~ big_f(sK1(X0,X1),sK1(X0,X1)) ),
inference(cnf,[status(esa)],[church_46_14_5_negated]) ).
cnf(l1,plain,
( ~ big_g(X1_10,sK1(X1_10,X0_3))
| ~ big_g(sK1(X1_10,X0_3),sK1(X1_10,X0_3))
| ~ big_f(X0_3,sK1(X1_10,X0_3))
| ~ big_f(sK1(X1_10,X0_3),sK1(X1_10,X0_3)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(2,plain,
( ~ big_f(X0,sK1(X1,X0))
| ~ big_f(sK1(X1,X0),sK1(X1,X0))
| big_g(X1,X0) ),
inference(cnf,[status(esa)],[church_46_14_5_negated]) ).
cnf(l2,plain,
( ~ big_f(sK1(X1_10,X0_3),sK1(sK1(X1_10,X0_3),sK1(X1_10,X0_3)))
| ~ big_f(sK1(sK1(X1_10,X0_3),sK1(X1_10,X0_3)),sK1(sK1(X1_10,X0_3),sK1(X1_10,X0_3)))
| big_g(sK1(X1_10,X0_3),sK1(X1_10,X0_3)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l7,plain,
big_f(sK1(X1_10,X0_3),sK1(sK1(X1_10,X0_3),sK1(X1_10,X0_3))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l10,plain,
( ~ big_f(sK1(X1_10,X0_3),sK1(X1_10,sK1(X1_10,X0_3)))
| ~ big_f(sK1(X1_10,sK1(X1_10,X0_3)),sK1(X1_10,sK1(X1_10,X0_3)))
| big_g(X1_10,sK1(X1_10,X0_3)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l3,plain,
big_f(X0_3,sK1(X1_10,X0_3)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l11,plain,
big_f(sK1(X1_10,sK1(X1_10,X0_3)),sK1(X1_10,sK1(X1_10,X0_3))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l4,plain,
big_f(sK1(sK1(X1_10,X0_3),sK1(X1_10,X0_3)),sK1(sK1(X1_10,X0_3),sK1(X1_10,X0_3))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l12,plain,
big_f(sK1(X1_10,X0_3),sK1(X1_10,sK1(X1_10,X0_3))),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l7,l10,l3,l11,l4,l12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN333+1 : TPTP v9.2.0. Released v2.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 8 12:50:53 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % launching worker at depth: 1
% 0.14/0.34 % launching worker at depth: 3
% 0.14/0.34 % launching worker at depth: 2
% 0.14/0.34 % launching worker at depth: 5
% 0.14/0.34 % launching worker at depth: 6
% 0.14/0.34 % launching worker at depth: 7
% 0.14/0.34 % launching worker at depth: 8
% 0.14/0.34 % launching worker at depth: 4
% 0.14/0.35 % launching worker at depth: 9
% 0.14/0.35 % launching worker at depth: 10
% 0.14/0.35 % SZS status Theorem for theBenchmark
% 0.14/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------