%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN334+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 : n018.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 09:27:26 PM UTC 2025
% Result : Theorem 0.19s 0.56s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 29 ( 1 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 85 ( 34 ~; 37 |; 0 &)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 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 : 39 ( 0 sgn 2 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_14_6,plain,
? [X,Y] :
! [Z] :
( ( big_f(X,Y)
=> ( big_f(X,Z)
<=> big_g(Y,Z) ) )
=> ( ( big_f(X,Y)
<=> ( big_f(Z,Z)
=> big_g(Z,Z) ) )
=> ( big_g(X,Y)
<=> big_g(Z,Z) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_14_6) ).
fof(church_46_14_6_negated,plain,
~ ? [X,Y] :
! [Z] :
( ( big_f(X,Y)
=> ( big_f(X,Z)
<=> big_g(Y,Z) ) )
=> ( ( big_f(X,Y)
<=> ( big_f(Z,Z)
=> big_g(Z,Z) ) )
=> ( big_g(X,Y)
<=> big_g(Z,Z) ) ) ),
inference(negate_conjecture,[status(cth)],[church_46_14_6]) ).
cnf(3,plain,
( big_f(X0,X1)
| big_f(sK1(X0,X1),sK1(X0,X1)) ),
inference(cnf,[status(esa)],[church_46_14_6_negated]) ).
cnf(l0,plain,
( big_f(X0_98,X0_98)
| big_f(sK1(X0_98,X0_98),sK1(X0_98,X0_98)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(0,plain,
( ~ big_f(X0,X1)
| ~ big_f(X0,sK1(X0,X1))
| big_g(X1,sK1(X0,X1)) ),
inference(cnf,[status(esa)],[church_46_14_6_negated]) ).
cnf(l1,plain,
( ~ big_f(X0_98,X0_98)
| ~ big_f(X0_98,sK1(X0_98,X0_98))
| big_g(X0_98,sK1(X0_98,X0_98)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(6,plain,
( ~ big_g(X0,X1)
| ~ big_g(sK1(X0,X1),sK1(X0,X1)) ),
inference(cnf,[status(esa)],[church_46_14_6_negated]) ).
cnf(l4,plain,
( ~ big_g(X0_98,sK1(X0_98,X0_98))
| ~ big_g(sK1(X0_98,sK1(X0_98,X0_98)),sK1(X0_98,sK1(X0_98,X0_98))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(2,plain,
( ~ big_f(X0,X1)
| ~ big_f(sK1(X0,X1),sK1(X0,X1))
| big_g(sK1(X0,X1),sK1(X0,X1)) ),
inference(cnf,[status(esa)],[church_46_14_6_negated]) ).
cnf(l13,plain,
( ~ big_f(X0_98,sK1(X0_98,X0_98))
| ~ big_f(sK1(X0_98,sK1(X0_98,X0_98)),sK1(X0_98,sK1(X0_98,X0_98)))
| big_g(sK1(X0_98,sK1(X0_98,X0_98)),sK1(X0_98,sK1(X0_98,X0_98))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
( ~ big_g(X0,sK1(X1,X0))
| ~ big_f(X1,X0)
| big_f(X1,sK1(X1,X0)) ),
inference(cnf,[status(esa)],[church_46_14_6_negated]) ).
cnf(l96,plain,
( ~ big_g(X0_98,sK1(X0_98,X0_98))
| ~ big_f(X0_98,X0_98)
| big_f(X0_98,sK1(X0_98,X0_98)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l2,plain,
( ~ big_f(sK1(X0_98,X0_98),sK1(X0_98,X0_98))
| ~ big_f(sK1(X0_98,X0_98),sK1(sK1(X0_98,X0_98),sK1(X0_98,X0_98)))
| big_g(sK1(X0_98,X0_98),sK1(sK1(X0_98,X0_98),sK1(X0_98,X0_98))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(4,plain,
( ~ big_g(sK1(X0,X1),sK1(X0,X1))
| big_f(X0,X1) ),
inference(cnf,[status(esa)],[church_46_14_6_negated]) ).
cnf(l6,plain,
( ~ big_g(sK1(sK1(X0_98,X0_98),sK1(sK1(X0_98,X0_98),sK1(X0_98,X0_98))),sK1(sK1(X0_98,X0_98),sK1(sK1(X0_98,X0_98),sK1(X0_98,X0_98))))
| big_f(sK1(X0_98,X0_98),sK1(sK1(X0_98,X0_98),sK1(X0_98,X0_98))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l21,plain,
( ~ big_g(sK1(sK1(X0_98,sK1(X0_98,X0_98)),sK1(X0_98,sK1(X0_98,X0_98))),sK1(sK1(X0_98,sK1(X0_98,X0_98)),sK1(X0_98,sK1(X0_98,X0_98))))
| big_f(sK1(X0_98,sK1(X0_98,X0_98)),sK1(X0_98,sK1(X0_98,X0_98))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(5,plain,
( big_g(X0,X1)
| big_g(sK1(X0,X1),sK1(X0,X1)) ),
inference(cnf,[status(esa)],[church_46_14_6_negated]) ).
cnf(l23,plain,
( big_g(sK1(X0_98,sK1(X0_98,X0_98)),sK1(X0_98,sK1(X0_98,X0_98)))
| big_g(sK1(sK1(X0_98,sK1(X0_98,X0_98)),sK1(X0_98,sK1(X0_98,X0_98))),sK1(sK1(X0_98,sK1(X0_98,X0_98)),sK1(X0_98,sK1(X0_98,X0_98)))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l47,plain,
( ~ big_g(X0_98,sK1(X0_98,X0_98))
| ~ big_f(X0_98,X0_98)
| big_f(X0_98,sK1(X0_98,X0_98)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l97,plain,
( big_g(X0_98,sK1(X0_98,X0_98))
| big_g(sK1(X0_98,sK1(X0_98,X0_98)),sK1(X0_98,sK1(X0_98,X0_98))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l7,plain,
( ~ big_g(sK1(X0_98,X0_98),sK1(sK1(X0_98,X0_98),sK1(X0_98,X0_98)))
| ~ big_g(sK1(sK1(X0_98,X0_98),sK1(sK1(X0_98,X0_98),sK1(X0_98,X0_98))),sK1(sK1(X0_98,X0_98),sK1(sK1(X0_98,X0_98),sK1(X0_98,X0_98)))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l9,plain,
( ~ big_f(sK1(X0_98,X0_98),sK1(sK1(X0_98,X0_98),sK1(X0_98,X0_98)))
| ~ big_f(sK1(sK1(X0_98,X0_98),sK1(sK1(X0_98,X0_98),sK1(X0_98,X0_98))),sK1(sK1(X0_98,X0_98),sK1(sK1(X0_98,X0_98),sK1(X0_98,X0_98))))
| big_g(sK1(sK1(X0_98,X0_98),sK1(sK1(X0_98,X0_98),sK1(X0_98,X0_98))),sK1(sK1(X0_98,X0_98),sK1(sK1(X0_98,X0_98),sK1(X0_98,X0_98)))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l37,plain,
( ~ big_g(sK1(sK1(sK1(X0_98,X0_98),sK1(sK1(X0_98,X0_98),sK1(X0_98,X0_98))),sK1(sK1(X0_98,X0_98),sK1(sK1(X0_98,X0_98),sK1(X0_98,X0_98)))),sK1(sK1(sK1(X0_98,X0_98),sK1(sK1(X0_98,X0_98),sK1(X0_98,X0_98))),sK1(sK1(X0_98,X0_98),sK1(sK1(X0_98,X0_98),sK1(X0_98,X0_98)))))
| big_f(sK1(sK1(X0_98,X0_98),sK1(sK1(X0_98,X0_98),sK1(X0_98,X0_98))),sK1(sK1(X0_98,X0_98),sK1(sK1(X0_98,X0_98),sK1(X0_98,X0_98)))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l39,plain,
( ~ big_g(sK1(X0_98,X0_98),sK1(sK1(X0_98,X0_98),sK1(X0_98,X0_98)))
| ~ big_f(sK1(X0_98,X0_98),sK1(X0_98,X0_98))
| big_f(sK1(X0_98,X0_98),sK1(sK1(X0_98,X0_98),sK1(X0_98,X0_98))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l38,plain,
( big_g(sK1(sK1(X0_98,X0_98),sK1(sK1(X0_98,X0_98),sK1(X0_98,X0_98))),sK1(sK1(X0_98,X0_98),sK1(sK1(X0_98,X0_98),sK1(X0_98,X0_98))))
| big_g(sK1(sK1(sK1(X0_98,X0_98),sK1(sK1(X0_98,X0_98),sK1(X0_98,X0_98))),sK1(sK1(X0_98,X0_98),sK1(sK1(X0_98,X0_98),sK1(X0_98,X0_98)))),sK1(sK1(sK1(X0_98,X0_98),sK1(sK1(X0_98,X0_98),sK1(X0_98,X0_98))),sK1(sK1(X0_98,X0_98),sK1(sK1(X0_98,X0_98),sK1(X0_98,X0_98))))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l43,plain,
( big_g(sK1(X0_98,X0_98),sK1(sK1(X0_98,X0_98),sK1(X0_98,X0_98)))
| big_g(sK1(sK1(X0_98,X0_98),sK1(sK1(X0_98,X0_98),sK1(X0_98,X0_98))),sK1(sK1(X0_98,X0_98),sK1(sK1(X0_98,X0_98),sK1(X0_98,X0_98)))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l44,plain,
( ~ big_g(sK1(X0_98,X0_98),sK1(sK1(X0_98,X0_98),sK1(X0_98,X0_98)))
| ~ big_f(sK1(X0_98,X0_98),sK1(X0_98,X0_98))
| big_f(sK1(X0_98,X0_98),sK1(sK1(X0_98,X0_98),sK1(X0_98,X0_98))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l98,plain,
( ~ big_g(sK1(X0_98,sK1(X0_98,X0_98)),sK1(X0_98,sK1(X0_98,X0_98)))
| big_f(X0_98,sK1(X0_98,X0_98)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l13,l96,l2,l6,l21,l23,l47,l97,l7,l9,l37,l39,l38,l43,l44,l98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN334+1 : TPTP v9.0.0. Released v2.0.0.
% 0.06/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n018.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 15:52:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 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: 1
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 5
% 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 % launching worker at depth: 10
% 0.13/0.36 % launching worker at depth: 11
% 0.19/0.42 % launching worker at depth: 12
% 0.19/0.56 % SZS status Theorem for theBenchmark
% 0.19/0.56 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------