%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN331+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 : n017.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 09:27:25 PM UTC 2025
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 29 ( 9 ~; 10 |; 0 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 20 ( 2 sgn 2 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_14_3,plain,
? [X,Y] :
! [Z] :
( big_f(X,Z)
=> ( big_f(Y,Z)
=> ( ( big_f(X,Y)
<=> big_f(Z,Z) )
=> ( ( big_f(Y,X)
| big_f(Z,Z) )
=> ( big_f(Z,X)
| big_f(Z,Y) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_14_3) ).
fof(church_46_14_3_negated,plain,
~ ? [X,Y] :
! [Z] :
( big_f(X,Z)
=> ( big_f(Y,Z)
=> ( ( big_f(X,Y)
<=> big_f(Z,Z) )
=> ( ( big_f(Y,X)
| big_f(Z,Z) )
=> ( big_f(Z,X)
| big_f(Z,Y) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[church_46_14_3]) ).
cnf(4,plain,
( big_f(X0,X1)
| big_f(sK1(X1,X0),sK1(X1,X0)) ),
inference(cnf,[status(esa)],[church_46_14_3_negated]) ).
cnf(l0,plain,
( big_f(sK1(sK1(X1_7,X1_7),X1_7),sK1(sK1(X1_7,X1_7),X1_7))
| big_f(sK1(sK1(sK1(X1_7,X1_7),X1_7),sK1(sK1(X1_7,X1_7),X1_7)),sK1(sK1(sK1(X1_7,X1_7),X1_7),sK1(sK1(X1_7,X1_7),X1_7))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(3,plain,
( ~ big_f(sK1(X0,X1),sK1(X0,X1))
| big_f(X0,X1) ),
inference(cnf,[status(esa)],[church_46_14_3_negated]) ).
cnf(l5,plain,
( ~ big_f(sK1(sK1(sK1(X1_7,X1_7),X1_7),sK1(sK1(X1_7,X1_7),X1_7)),sK1(sK1(sK1(X1_7,X1_7),X1_7),sK1(sK1(X1_7,X1_7),X1_7)))
| big_f(sK1(sK1(X1_7,X1_7),X1_7),sK1(sK1(X1_7,X1_7),X1_7)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l6,plain,
( ~ big_f(sK1(sK1(X1_7,X1_7),X1_7),sK1(sK1(X1_7,X1_7),X1_7))
| big_f(sK1(X1_7,X1_7),X1_7) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l1,plain,
( ~ big_f(sK1(sK1(X1_7,X1_7),X1_7),sK1(sK1(X1_7,X1_7),X1_7))
| big_f(sK1(X1_7,X1_7),X1_7) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(6,plain,
~ big_f(sK1(X0,X1),X1),
inference(cnf,[status(esa)],[church_46_14_3_negated]) ).
cnf(l2,plain,
~ big_f(sK1(X1_7,X1_7),X1_7),
inference(instantiation,[status(thm)],[6]) ).
cnf(5,plain,
~ big_f(sK1(X0,X1),X0),
inference(cnf,[status(esa)],[church_46_14_3_negated]) ).
cnf(l7,plain,
~ big_f(sK1(X1_7,X1_7),X1_7),
inference(instantiation,[status(thm)],[5]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l5,l6,l1,l2,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN331+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
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 22 15:51:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.34 % SZS status Theorem for theBenchmark
% 0.12/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------