%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN352+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 : 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 : Fri Jul 25 09:27:30 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 : 14 ( 1 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 58 ( 18 ~; 22 |; 2 &)
% ( 4 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 6 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_18_4,plain,
! [X1,X2] :
? [Y1,Y2] :
! [Z] :
( big_f(X1,X2)
=> ( ( big_f(Y1,Y2)
=> ( big_f(X2,Z)
| big_f(Y2,Z) ) )
=> ( ( ( big_f(Y1,Y2)
=> ( big_f(X2,Z)
<=> big_f(Y1,Z) ) )
=> big_f(Z,Z) )
=> ( big_f(Y1,Y2)
& ( big_f(Y1,Z)
<=> big_f(Y2,Z) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_18_4) ).
fof(church_46_18_4_negated,plain,
~ ! [X1,X2] :
? [Y1,Y2] :
! [Z] :
( big_f(X1,X2)
=> ( ( big_f(Y1,Y2)
=> ( big_f(X2,Z)
| big_f(Y2,Z) ) )
=> ( ( ( big_f(Y1,Y2)
=> ( big_f(X2,Z)
<=> big_f(Y1,Z) ) )
=> big_f(Z,Z) )
=> ( big_f(Y1,Y2)
& ( big_f(Y1,Z)
<=> big_f(Y2,Z) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[church_46_18_4]) ).
cnf(2,plain,
( big_f(X0,X1)
| big_f(sK3(X0,X1),sK3(X0,X1)) ),
inference(cnf,[status(esa)],[church_46_18_4_negated]) ).
cnf(l0,plain,
( big_f(sK2,sK2)
| big_f(sK3(sK2,sK2),sK3(sK2,sK2)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(5,plain,
( ~ big_f(X0,X1)
| big_f(X0,sK3(X0,X1))
| big_f(X1,sK3(X0,X1)) ),
inference(cnf,[status(esa)],[church_46_18_4_negated]) ).
cnf(l9,plain,
( ~ big_f(sK3(sK2,sK2),sK3(sK2,sK2))
| big_f(sK3(sK2,sK2),sK3(sK3(sK2,sK2),sK3(sK2,sK2)))
| big_f(sK3(sK2,sK2),sK3(sK3(sK2,sK2),sK3(sK2,sK2))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(6,plain,
( ~ big_f(X0,X1)
| ~ big_f(X0,sK3(X0,X1))
| ~ big_f(X1,sK3(X0,X1)) ),
inference(cnf,[status(esa)],[church_46_18_4_negated]) ).
cnf(l10,plain,
( ~ big_f(sK3(sK2,sK2),sK3(sK2,sK2))
| ~ big_f(sK3(sK2,sK2),sK3(sK3(sK2,sK2),sK3(sK2,sK2)))
| ~ big_f(sK3(sK2,sK2),sK3(sK3(sK2,sK2),sK3(sK2,sK2))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l1,plain,
( ~ big_f(sK2,sK2)
| ~ big_f(sK2,sK3(sK2,sK2))
| ~ big_f(sK2,sK3(sK2,sK2)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l3,plain,
( ~ big_f(sK2,sK2)
| big_f(sK2,sK3(sK2,sK2))
| big_f(sK2,sK3(sK2,sK2)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(1,plain,
( ~ big_f(X0,X1)
| big_f(X1,sK3(X0,X1))
| big_f(sK2,sK3(X0,X1)) ),
inference(cnf,[status(esa)],[church_46_18_4_negated]) ).
cnf(l2,plain,
( ~ big_f(sK2,sK2)
| big_f(sK2,sK3(sK2,sK2))
| big_f(sK2,sK3(sK2,sK2)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l11,plain,
( ~ big_f(sK3(sK2,sK2),sK3(sK2,sK2))
| ~ big_f(sK3(sK2,sK2),sK3(sK3(sK2,sK2),sK3(sK2,sK2)))
| ~ big_f(sK3(sK2,sK2),sK3(sK3(sK2,sK2),sK3(sK2,sK2))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l9,l10,l1,l3,l2,l11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN352+1 : TPTP v9.0.0. Released v2.0.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n029.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 15:55:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.34 % SZS status Theorem for theBenchmark
% 0.12/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------