%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET639+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 : n024.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 03:32:26 PM UTC 2025
% Result : Theorem 3.70s 0.80s
% Output : CNFRefutation 3.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 10 unt; 0 def)
% Number of atoms : 22 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 5 ~; 2 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_th121,plain,
! [B,C] :
( ( subset(B,C)
& intersection(C,B) = empty_set )
=> B = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th121) ).
fof(prove_th121_negated,plain,
~ ! [B,C] :
( ( subset(B,C)
& intersection(C,B) = empty_set )
=> B = empty_set ),
inference(negate_conjecture,[status(cth)],[prove_th121]) ).
cnf(22,plain,
intersection(sK5,sK4) = empty_set,
inference(cnf,[status(esa)],[prove_th121_negated]) ).
cnf(l0,plain,
intersection(sK5,sK4) = empty_set,
inference(instantiation,[status(thm)],[22]) ).
fof(subset_intersection,plain,
! [B,C] :
( subset(B,C)
=> intersection(B,C) = B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_intersection) ).
cnf(0,plain,
( ~ subset(X0,X1)
| intersection(X0,X1) = X0 ),
inference(cnf,[status(esa)],[subset_intersection]) ).
cnf(l39,plain,
( ~ subset(sK4,sK5)
| intersection(sK4,sK5) = sK4 ),
inference(instantiation,[status(thm)],[0]) ).
cnf(21,plain,
subset(sK4,sK5),
inference(cnf,[status(esa)],[prove_th121_negated]) ).
cnf(l41,plain,
subset(sK4,sK5),
inference(instantiation,[status(thm)],[21]) ).
fof(commutativity_of_intersection,plain,
! [B,C] : intersection(B,C) = intersection(C,B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_intersection) ).
cnf(11,plain,
intersection(X0,X1) = intersection(X1,X0),
inference(cnf,[status(esa)],[commutativity_of_intersection]) ).
cnf(l36,plain,
intersection(sK5,sK4) = intersection(sK4,sK5),
inference(instantiation,[status(thm)],[11]) ).
cnf(23,plain,
sK4 != empty_set,
inference(cnf,[status(esa)],[prove_th121_negated]) ).
cnf(l8,plain,
sK4 != empty_set,
inference(instantiation,[status(thm)],[23]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l39,l41,l36,l8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET639+3 : TPTP v9.0.0. Released v2.2.0.
% 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n024.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 : Mon Jul 21 22:11:04 EDT 2025
% 0.12/0.33 % 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: 4
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 5
% 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: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.40 % launching worker at depth: 11
% 3.70/0.80 % SZS status Theorem for theBenchmark
% 3.70/0.80 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------