%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET602+4 : 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 : n026.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 0.20s 0.45s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 8 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 17 ~; 11 |; 2 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 3 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thI29,plain,
! [E] : equal_set(difference(E,E),empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI29) ).
fof(thI29_negated,plain,
~ ! [E] : equal_set(difference(E,E),empty_set),
inference(negate_conjecture,[status(cth)],[thI29]) ).
cnf(29,plain,
~ equal_set(difference(sK5,sK5),empty_set),
inference(cnf,[status(esa)],[thI29_negated]) ).
cnf(l0,plain,
~ equal_set(difference(sK5,sK5),empty_set),
inference(instantiation,[status(thm)],[29]) ).
fof(equal_set,plain,
! [A,B] :
( equal_set(A,B)
<=> ( subset(A,B)
& subset(B,A) ) ),
file('Axioms/SET006+0.ax',equal_set) ).
cnf(5,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| equal_set(X0,X1) ),
inference(cnf,[status(esa)],[equal_set]) ).
cnf(l1,plain,
( ~ subset(difference(sK5,sK5),empty_set)
| ~ subset(empty_set,difference(sK5,sK5))
| equal_set(difference(sK5,sK5),empty_set) ),
inference(instantiation,[status(thm)],[5]) ).
fof(subset,plain,
! [A,B] :
( subset(A,B)
<=> ! [X] :
( member(X,A)
=> member(X,B) ) ),
file('Axioms/SET006+0.ax',subset) ).
cnf(1,plain,
( subset(X0,X1)
| member(sK1(X0,X1),X0) ),
inference(cnf,[status(esa)],[subset]) ).
cnf(l3,plain,
( subset(empty_set,difference(sK5,sK5))
| member(sK1(empty_set,difference(sK5,sK5)),empty_set) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l2,plain,
( subset(difference(sK5,sK5),empty_set)
| member(sK1(difference(sK5,sK5),empty_set),difference(sK5,sK5)) ),
inference(instantiation,[status(thm)],[1]) ).
fof(difference,plain,
! [B,A,E] :
( member(B,difference(E,A))
<=> ( member(B,E)
& ~ member(B,A) ) ),
file('Axioms/SET006+0.ax',difference) ).
cnf(16,plain,
( ~ member(X0,X1)
| ~ member(X0,difference(X2,X1)) ),
inference(cnf,[status(esa)],[difference]) ).
cnf(l20,plain,
( ~ member(sK1(difference(sK5,sK5),empty_set),sK5)
| ~ member(sK1(difference(sK5,sK5),empty_set),difference(sK5,sK5)) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(15,plain,
( ~ member(X0,difference(X1,X2))
| member(X0,X1) ),
inference(cnf,[status(esa)],[difference]) ).
cnf(l22,plain,
( ~ member(sK1(difference(sK5,sK5),empty_set),difference(sK5,sK5))
| member(sK1(difference(sK5,sK5),empty_set),sK5) ),
inference(instantiation,[status(thm)],[15]) ).
fof(empty_set,plain,
! [X] : ~ member(X,empty_set),
file('Axioms/SET006+0.ax',empty_set) ).
cnf(14,plain,
~ member(X0,empty_set),
inference(cnf,[status(esa)],[empty_set]) ).
cnf(l36,plain,
~ member(sK1(empty_set,difference(sK5,sK5)),empty_set),
inference(instantiation,[status(thm)],[14]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2,l20,l22,l36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET602+4 : TPTP v9.0.0. Released v2.2.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 22:05:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.20/0.35 % launching worker at depth: 11
% 0.20/0.45 % SZS status Theorem for theBenchmark
% 0.20/0.45 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------