%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET592+3 : TPTP v9.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n023.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 0.21s 0.43s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 32 ( 11 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 9 ~; 6 |; 5 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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_th51,plain,
! [B,C,D] :
( ( subset(B,C)
& subset(B,D)
& intersection(C,D) = empty_set )
=> B = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th51) ).
fof(prove_th51_negated,plain,
~ ! [B,C,D] :
( ( subset(B,C)
& subset(B,D)
& intersection(C,D) = empty_set )
=> B = empty_set ),
inference(negate_conjecture,[status(cth)],[prove_th51]) ).
cnf(24,plain,
intersection(sK5,sK6) = empty_set,
inference(cnf,[status(esa)],[prove_th51_negated]) ).
cnf(l0,plain,
intersection(sK5,sK6) = empty_set,
inference(instantiation,[status(thm)],[24]) ).
fof(subset_of_empty_set_is_empty_set,plain,
! [B] :
( subset(B,empty_set)
=> B = empty_set ),
file('/export/starexec/sandbox/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(l4,plain,
( ~ subset(sK4,empty_set)
| sK4 = empty_set ),
inference(instantiation,[status(thm)],[0]) ).
cnf(25,plain,
sK4 != empty_set,
inference(cnf,[status(esa)],[prove_th51_negated]) ).
cnf(l7,plain,
sK4 != empty_set,
inference(instantiation,[status(thm)],[25]) ).
fof(intersection_of_subsets,plain,
! [B,C,D] :
( ( subset(B,C)
& subset(B,D) )
=> subset(B,intersection(C,D)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_of_subsets) ).
cnf(1,plain,
( ~ subset(X0,X1)
| ~ subset(X0,X2)
| subset(X0,intersection(X1,X2)) ),
inference(cnf,[status(esa)],[intersection_of_subsets]) ).
cnf(l15,plain,
( ~ subset(sK4,sK5)
| ~ subset(sK4,sK6)
| subset(sK4,intersection(sK5,sK6)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(22,plain,
subset(sK4,sK5),
inference(cnf,[status(esa)],[prove_th51_negated]) ).
cnf(l17,plain,
subset(sK4,sK5),
inference(instantiation,[status(thm)],[22]) ).
cnf(23,plain,
subset(sK4,sK6),
inference(cnf,[status(esa)],[prove_th51_negated]) ).
cnf(l18,plain,
subset(sK4,sK6),
inference(instantiation,[status(thm)],[23]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l4,l7,l15,l17,l18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET592+3 : TPTP v9.0.0. Released v2.2.0.
% 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Jul 21 22:04:34 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 2
% 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: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.36 % launching worker at depth: 10
% 0.21/0.43 % SZS status Theorem for theBenchmark
% 0.21/0.43 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------