%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET605+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 : n022.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 03:32:20 PM UTC 2025
% Result : Theorem 0.14s 0.35s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 14 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 2 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 1 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_th76,plain,
! [B,C] : difference(B,union(B,C)) = empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th76) ).
fof(prove_th76_negated,plain,
~ ! [B,C] : difference(B,union(B,C)) = empty_set,
inference(negate_conjecture,[status(cth)],[prove_th76]) ).
cnf(26,plain,
difference(sK4,union(sK4,sK5)) != empty_set,
inference(cnf,[status(esa)],[prove_th76_negated]) ).
cnf(l0,plain,
difference(sK4,union(sK4,sK5)) != empty_set,
inference(instantiation,[status(thm)],[26]) ).
fof(difference_empty_set,plain,
! [B,C] :
( difference(B,C) = empty_set
<=> subset(B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_empty_set) ).
cnf(2,plain,
( ~ subset(X0,X1)
| difference(X0,X1) = empty_set ),
inference(cnf,[status(esa)],[difference_empty_set]) ).
cnf(l1,plain,
( ~ subset(sK4,union(sK4,sK5))
| difference(sK4,union(sK4,sK5)) = empty_set ),
inference(instantiation,[status(thm)],[2]) ).
fof(subset_of_union,plain,
! [B,C] : subset(B,union(B,C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_of_union) ).
cnf(0,plain,
subset(X0,union(X0,X1)),
inference(cnf,[status(esa)],[subset_of_union]) ).
cnf(l2,plain,
subset(sK4,union(sK4,sK5)),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET605+3 : TPTP v9.0.0. Released v2.2.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n022.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
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Jul 21 22:06:04 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % launching worker at depth: 2
% 0.14/0.35 % launching worker at depth: 8
% 0.14/0.35 % launching worker at depth: 4
% 0.14/0.35 % launching worker at depth: 1
% 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: 3
% 0.14/0.35 % SZS status Theorem for theBenchmark
% 0.14/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------