%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET603+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 : 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 0.21s 0.48s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 8 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 18 ~; 16 |; 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 : 24 ( 2 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thI30,plain,
! [E] : equal_set(difference(E,empty_set),E),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI30) ).
fof(thI30_negated,plain,
~ ! [E] : equal_set(difference(E,empty_set),E),
inference(negate_conjecture,[status(cth)],[thI30]) ).
cnf(29,plain,
~ equal_set(difference(sK5,empty_set),sK5),
inference(cnf,[status(esa)],[thI30_negated]) ).
cnf(l0,plain,
~ equal_set(difference(sK5,empty_set),sK5),
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,empty_set),sK5)
| ~ subset(sK5,difference(sK5,empty_set))
| equal_set(difference(sK5,empty_set),sK5) ),
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(2,plain,
( ~ member(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[subset]) ).
cnf(l3,plain,
( ~ member(sK1(sK5,difference(sK5,empty_set)),difference(sK5,empty_set))
| subset(sK5,difference(sK5,empty_set)) ),
inference(instantiation,[status(thm)],[2]) ).
fof(difference,plain,
! [B,A,E] :
( member(B,difference(E,A))
<=> ( member(B,E)
& ~ member(B,A) ) ),
file('Axioms/SET006+0.ax',difference) ).
cnf(17,plain,
( ~ member(X0,X1)
| member(X0,X2)
| member(X0,difference(X1,X2)) ),
inference(cnf,[status(esa)],[difference]) ).
cnf(l24,plain,
( ~ member(sK1(sK5,difference(sK5,empty_set)),sK5)
| member(sK1(sK5,difference(sK5,empty_set)),empty_set)
| member(sK1(sK5,difference(sK5,empty_set)),difference(sK5,empty_set)) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(1,plain,
( subset(X0,X1)
| member(sK1(X0,X1),X0) ),
inference(cnf,[status(esa)],[subset]) ).
cnf(l26,plain,
( subset(sK5,difference(sK5,empty_set))
| member(sK1(sK5,difference(sK5,empty_set)),sK5) ),
inference(instantiation,[status(thm)],[1]) ).
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(l25,plain,
~ member(sK1(sK5,difference(sK5,empty_set)),empty_set),
inference(instantiation,[status(thm)],[14]) ).
cnf(l2,plain,
( subset(difference(sK5,empty_set),sK5)
| member(sK1(difference(sK5,empty_set),sK5),difference(sK5,empty_set)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(15,plain,
( ~ member(X0,difference(X1,X2))
| member(X0,X1) ),
inference(cnf,[status(esa)],[difference]) ).
cnf(l20,plain,
( ~ member(sK1(difference(sK5,empty_set),sK5),difference(sK5,empty_set))
| member(sK1(difference(sK5,empty_set),sK5),sK5) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l21,plain,
( ~ member(sK1(difference(sK5,empty_set),sK5),sK5)
| subset(difference(sK5,empty_set),sK5) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l24,l26,l25,l2,l20,l21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET603+4 : TPTP v9.0.0. Released v2.2.0.
% 0.07/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n022.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 22:06:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 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: 3
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.35 % launching worker at depth: 11
% 0.21/0.48 % SZS status Theorem for theBenchmark
% 0.21/0.48 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------