%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET596+3 : TPTP v9.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n021.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 03:32:18 PM UTC 2025
% Result : Theorem 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 25 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 7 ~; 4 |; 2 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_th55,plain,
! [B,C,D] :
( ( subset(B,C)
& intersection(C,D) = empty_set )
=> intersection(B,D) = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th55) ).
fof(prove_th55_negated,plain,
~ ! [B,C,D] :
( ( subset(B,C)
& intersection(C,D) = empty_set )
=> intersection(B,D) = empty_set ),
inference(negate_conjecture,[status(cth)],[prove_th55]) ).
cnf(22,plain,
subset(sK4,sK5),
inference(cnf,[status(esa)],[prove_th55_negated]) ).
cnf(l0,plain,
subset(sK4,sK5),
inference(instantiation,[status(thm)],[22]) ).
fof(intersection_of_subset,plain,
! [B,C,D] :
( subset(B,C)
=> subset(intersection(B,D),intersection(C,D)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_of_subset) ).
cnf(1,plain,
( ~ subset(X0,X1)
| subset(intersection(X0,X2),intersection(X1,X2)) ),
inference(cnf,[status(esa)],[intersection_of_subset]) ).
cnf(l1,plain,
( ~ subset(sK4,sK5)
| subset(intersection(sK4,sK6),intersection(sK5,sK6)) ),
inference(instantiation,[status(thm)],[1]) ).
fof(subset_of_empty_set_is_empty_set,plain,
! [B] :
( subset(B,empty_set)
=> B = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_of_empty_set_is_empty_set) ).
cnf(0,plain,
( ~ subset(X0,empty_set)
| X0 = empty_set ),
inference(cnf,[status(esa)],[subset_of_empty_set_is_empty_set]) ).
cnf(l17,plain,
( ~ subset(intersection(sK4,sK6),empty_set)
| intersection(sK4,sK6) = empty_set ),
inference(instantiation,[status(thm)],[0]) ).
cnf(23,plain,
intersection(sK5,sK6) = empty_set,
inference(cnf,[status(esa)],[prove_th55_negated]) ).
cnf(l3,plain,
intersection(sK5,sK6) = empty_set,
inference(instantiation,[status(thm)],[23]) ).
cnf(24,plain,
intersection(sK4,sK6) != empty_set,
inference(cnf,[status(esa)],[prove_th55_negated]) ).
cnf(l19,plain,
intersection(sK4,sK6) != empty_set,
inference(instantiation,[status(thm)],[24]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l17,l3,l19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET596+3 : TPTP v9.0.0. Released v2.2.0.
% 0.06/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n021.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Jul 21 22:04:49 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.12/0.38 % SZS status Theorem for theBenchmark
% 0.12/0.38 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------