%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN386+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 09:27:36 PM UTC 2025
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 37 ( 11 ~; 8 |; 6 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 48 ( 2 sgn 22 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2138,plain,
( ( ! [X] :
? [Y] : big_f(X,Y)
& ? [X] :
! [E] :
? [N] :
! [W] :
( big_s(N,W)
=> big_d(W,X,E) )
& ! [E] :
? [D] :
! [A,B] :
( big_d(A,B,D)
=> ! [Y,Z] :
( ( big_f(A,Y)
& big_f(B,Z) )
=> big_d(Y,Z,E) ) ) )
=> ? [Y] :
! [E] :
? [M] :
! [W] :
( big_s(M,W)
=> ! [Z] :
( big_f(W,Z)
=> big_d(Z,Y,E) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2138) ).
fof(x2138_negated,plain,
~ ( ( ! [X] :
? [Y] : big_f(X,Y)
& ? [X] :
! [E] :
? [N] :
! [W] :
( big_s(N,W)
=> big_d(W,X,E) )
& ! [E] :
? [D] :
! [A,B] :
( big_d(A,B,D)
=> ! [Y,Z] :
( ( big_f(A,Y)
& big_f(B,Z) )
=> big_d(Y,Z,E) ) ) )
=> ? [Y] :
! [E] :
? [M] :
! [W] :
( big_s(M,W)
=> ! [Z] :
( big_f(W,Z)
=> big_d(Z,Y,E) ) ) ),
inference(negate_conjecture,[status(cth)],[x2138]) ).
cnf(0,plain,
big_f(X0,sK1(X0)),
inference(cnf,[status(esa)],[x2138_negated]) ).
cnf(l0,plain,
big_f(sK2,sK1(sK2)),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
( ~ big_f(X0,X1)
| ~ big_f(X2,X3)
| ~ big_d(X0,X2,sK4(X4))
| big_d(X1,X3,X4) ),
inference(cnf,[status(esa)],[x2138_negated]) ).
cnf(l1,plain,
( ~ big_f(sK6(sK1(sK2),sK3(sK4(sK5(sK1(sK2))))),sK7(sK1(sK2),sK3(sK4(sK5(sK1(sK2))))))
| ~ big_f(sK2,sK1(sK2))
| ~ big_d(sK6(sK1(sK2),sK3(sK4(sK5(sK1(sK2))))),sK2,sK4(sK5(sK1(sK2))))
| big_d(sK7(sK1(sK2),sK3(sK4(sK5(sK1(sK2))))),sK1(sK2),sK5(sK1(sK2))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
( ~ big_s(sK3(X0),X1)
| big_d(X1,sK2,X0) ),
inference(cnf,[status(esa)],[x2138_negated]) ).
cnf(l2,plain,
( ~ big_s(sK3(sK4(sK5(sK1(sK2)))),sK6(sK1(sK2),sK3(sK4(sK5(sK1(sK2))))))
| big_d(sK6(sK1(sK2),sK3(sK4(sK5(sK1(sK2))))),sK2,sK4(sK5(sK1(sK2)))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(4,plain,
big_f(sK6(X0,X1),sK7(X0,X1)),
inference(cnf,[status(esa)],[x2138_negated]) ).
cnf(l10,plain,
big_f(sK6(sK1(sK2),sK3(sK4(sK5(sK1(sK2))))),sK7(sK1(sK2),sK3(sK4(sK5(sK1(sK2)))))),
inference(instantiation,[status(thm)],[4]) ).
cnf(5,plain,
~ big_d(sK7(X0,X1),X0,sK5(X0)),
inference(cnf,[status(esa)],[x2138_negated]) ).
cnf(l4,plain,
~ big_d(sK7(sK1(sK2),sK3(sK4(sK5(sK1(sK2))))),sK1(sK2),sK5(sK1(sK2))),
inference(instantiation,[status(thm)],[5]) ).
cnf(3,plain,
big_s(X0,sK6(X1,X0)),
inference(cnf,[status(esa)],[x2138_negated]) ).
cnf(l3,plain,
big_s(sK3(sK4(sK5(sK1(sK2)))),sK6(sK1(sK2),sK3(sK4(sK5(sK1(sK2)))))),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l10,l4,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN386+1 : TPTP v9.0.0. Released v2.0.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 22 15:59:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------