%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN070+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 09:26:47 PM UTC 2025
% Result : Theorem 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 9 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 78 ( 33 ~; 30 |; 8 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 20 ( 3 sgn 7 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel46,plain,
! [X] :
( big_f(X)
=> big_g(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel46) ).
fof(pel46_negated,plain,
~ ! [X] :
( big_f(X)
=> big_g(X) ),
inference(negate_conjecture,[status(cth)],[pel46]) ).
cnf(7,plain,
big_f(sK2),
inference(cnf,[status(esa)],[pel46_negated]) ).
cnf(l0,plain,
big_f(sK2),
inference(instantiation,[status(thm)],[7]) ).
fof(pel46_1,plain,
! [X,Y] :
( ( big_f(X)
& ( ( big_f(Y)
& big_h(Y,X) )
=> big_g(Y) ) )
=> big_g(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel46_1) ).
cnf(2,plain,
( ~ big_f(X0)
| ~ big_g(X1)
| big_g(X0) ),
inference(cnf,[status(esa)],[pel46_1]) ).
cnf(l1,plain,
( ~ big_f(sK2)
| ~ big_g(sK1)
| big_g(sK2) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
( ~ big_f(X0)
| big_h(X1,X0)
| big_g(X0) ),
inference(cnf,[status(esa)],[pel46_1]) ).
cnf(l2,plain,
( ~ big_f(sK1)
| big_h(sK2,sK1)
| big_g(sK1) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(8,plain,
~ big_g(sK2),
inference(cnf,[status(esa)],[pel46_negated]) ).
cnf(l3,plain,
~ big_g(sK2),
inference(instantiation,[status(thm)],[8]) ).
fof(pel46_3,plain,
! [X,Y] :
( ( big_f(X)
& big_f(Y)
& big_h(X,Y) )
=> ~ big_j(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel46_3) ).
cnf(6,plain,
( ~ big_h(X0,X1)
| ~ big_j(X1,X0)
| ~ big_f(X0)
| ~ big_f(X1) ),
inference(cnf,[status(esa)],[pel46_3]) ).
cnf(l4,plain,
( ~ big_h(sK2,sK1)
| ~ big_j(sK1,sK2)
| ~ big_f(sK2)
| ~ big_f(sK1) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(0,plain,
( ~ big_f(X0)
| big_f(X1)
| big_g(X0) ),
inference(cnf,[status(esa)],[pel46_1]) ).
cnf(l5,plain,
( ~ big_f(sK2)
| big_f(sK1)
| big_g(sK2) ),
inference(instantiation,[status(thm)],[0]) ).
fof(pel46_2,plain,
( ? [X] :
( big_f(X)
& ~ big_g(X) )
=> ? [X1] :
( big_f(X1)
& ~ big_g(X1)
& ! [Y] :
( ( big_f(Y)
& ~ big_g(Y) )
=> big_j(X1,Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel46_2) ).
cnf(5,plain,
( ~ big_f(X0)
| ~ big_f(X1)
| big_j(sK1,X1)
| big_g(X0)
| big_g(X1) ),
inference(cnf,[status(esa)],[pel46_2]) ).
cnf(l6,plain,
( ~ big_f(sK2)
| ~ big_f(sK2)
| big_j(sK1,sK2)
| big_g(sK2)
| big_g(sK2) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l7,plain,
~ big_g(sK2),
inference(instantiation,[status(thm)],[8]) ).
cnf(3,plain,
( ~ big_f(X0)
| big_f(sK1)
| big_g(X0) ),
inference(cnf,[status(esa)],[pel46_2]) ).
cnf(l8,plain,
( ~ big_f(sK2)
| big_f(sK1)
| big_g(sK2) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l13,plain,
~ big_g(sK2),
inference(instantiation,[status(thm)],[8]) ).
cnf(l25,plain,
~ big_g(sK2),
inference(instantiation,[status(thm)],[8]) ).
cnf(l11,plain,
~ big_g(sK2),
inference(instantiation,[status(thm)],[8]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l6,l7,l8,l13,l25,l11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN070+1 : TPTP v9.0.0. Released v2.0.0.
% 0.07/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Jul 22 15:32:19 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % launching worker at depth: 1
% 0.14/0.35 % launching worker at depth: 4
% 0.14/0.35 % launching worker at depth: 3
% 0.14/0.35 % launching worker at depth: 2
% 0.14/0.35 % launching worker at depth: 5
% 0.14/0.35 % launching worker at depth: 6
% 0.14/0.35 % launching worker at depth: 7
% 0.14/0.35 % launching worker at depth: 8
% 0.14/0.35 % launching worker at depth: 9
% 0.14/0.35 % launching worker at depth: 10
% 0.14/0.35 % launching worker at depth: 11
% 0.14/0.36 % SZS status Theorem for theBenchmark
% 0.14/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------