%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN351+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 0.33s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 35 ( 11 ~; 8 |; 2 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 26 ( 4 sgn 6 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_18_3,plain,
! [X1,X2] :
? [Y1,Y2] :
! [Z] :
( big_f(X1,Y2,X1,Z)
=> ( ( big_f(X1,Y1,X1,Y2)
<=> big_f(Y1,X2,Y1,Y2) )
=> ( big_f(X1,Y1,X1,Y2)
=> ( ( big_f(X1,Y2,Y1,Y2)
=> big_f(X1,Z,Y1,Z) )
& ( big_f(X1,Z,Y1,Z)
=> ( big_f(X1,Y1,X1,Y2)
<=> big_f(X1,Y2,Y1,Y2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_18_3) ).
fof(church_46_18_3_negated,plain,
~ ! [X1,X2] :
? [Y1,Y2] :
! [Z] :
( big_f(X1,Y2,X1,Z)
=> ( ( big_f(X1,Y1,X1,Y2)
<=> big_f(Y1,X2,Y1,Y2) )
=> ( big_f(X1,Y1,X1,Y2)
=> ( ( big_f(X1,Y2,Y1,Y2)
=> big_f(X1,Z,Y1,Z) )
& ( big_f(X1,Z,Y1,Z)
=> ( big_f(X1,Y1,X1,Y2)
<=> big_f(X1,Y2,Y1,Y2) ) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[church_46_18_3]) ).
cnf(0,plain,
big_f(sK1,X0,sK1,sK3(X1,X0)),
inference(cnf,[status(esa)],[church_46_18_3_negated]) ).
cnf(l0,plain,
big_f(sK1,sK2,sK1,sK3(X1_0,sK2)),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
( ~ big_f(X0,sK2,X0,X1)
| big_f(sK1,X0,sK1,X1) ),
inference(cnf,[status(esa)],[church_46_18_3_negated]) ).
cnf(l1,plain,
( ~ big_f(sK1,sK2,sK1,sK3(X1_0,sK2))
| big_f(sK1,sK1,sK1,sK3(X1_0,sK2)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(6,plain,
( ~ big_f(sK1,X0,sK1,X1)
| ~ big_f(sK1,X1,X0,X1)
| ~ sP0(X1,X0) ),
inference(cnf,[status(esa)],[church_46_18_3_negated]) ).
cnf(l2,plain,
( ~ big_f(sK1,sK1,sK1,sK3(X1_0,sK2))
| ~ big_f(sK1,sK3(X1_0,sK2),sK1,sK3(X1_0,sK2))
| ~ sP0(sK3(X1_0,sK2),sK1) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(3,plain,
big_f(sK1,X0,sK1,X1),
inference(cnf,[status(esa)],[church_46_18_3_negated]) ).
cnf(l3,plain,
big_f(sK1,sK3(X1_0,sK2),sK1,sK3(X1_0,sK2)),
inference(instantiation,[status(thm)],[3]) ).
cnf(5,plain,
( ~ big_f(sK1,sK3(X0,X1),X0,sK3(X0,X1))
| sP0(X1,X0) ),
inference(cnf,[status(esa)],[church_46_18_3_negated]) ).
cnf(l4,plain,
( ~ big_f(sK1,sK3(sK1,sK3(X1_0,sK2)),sK1,sK3(sK1,sK3(X1_0,sK2)))
| sP0(sK3(X1_0,sK2),sK1) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l6,plain,
big_f(sK1,sK3(sK1,sK3(X1_0,sK2)),sK1,sK3(sK1,sK3(X1_0,sK2))),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN351+1 : TPTP v9.0.0. Released v2.0.0.
% 0.10/0.12 % 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 15:55:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.33 % SZS status Theorem for theBenchmark
% 0.12/0.33 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------