%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET591+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 : n029.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 03:32:17 PM UTC 2025
% Result : Theorem 0.19s 0.46s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 8 unt; 0 def)
% Number of atoms : 43 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 19 ~; 13 |; 2 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 2 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_th50,plain,
! [B,C] :
( subset(B,difference(C,B))
=> B = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th50) ).
fof(prove_th50_negated,plain,
~ ! [B,C] :
( subset(B,difference(C,B))
=> B = empty_set ),
inference(negate_conjecture,[status(cth)],[prove_th50]) ).
cnf(14,plain,
sK3 != empty_set,
inference(cnf,[status(esa)],[prove_th50_negated]) ).
cnf(l0,plain,
sK3 != empty_set,
inference(instantiation,[status(thm)],[14]) ).
fof(equal_defn,plain,
! [B,C] :
( B = C
<=> ( subset(B,C)
& subset(C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_defn) ).
cnf(9,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[equal_defn]) ).
cnf(l1,plain,
( ~ subset(sK3,empty_set)
| ~ subset(empty_set,sK3)
| sK3 = empty_set ),
inference(instantiation,[status(thm)],[9]) ).
fof(subset_defn,plain,
! [B,C] :
( subset(B,C)
<=> ! [D] :
( member(D,B)
=> member(D,C) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
cnf(1,plain,
( subset(X0,X1)
| member(sK1(X0,X1),X0) ),
inference(cnf,[status(esa)],[subset_defn]) ).
cnf(l2,plain,
( subset(empty_set,sK3)
| member(sK1(empty_set,sK3),empty_set) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l33,plain,
( subset(sK3,empty_set)
| member(sK1(sK3,empty_set),sK3) ),
inference(instantiation,[status(thm)],[1]) ).
fof(empty_set_defn,plain,
! [B] : ~ member(B,empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set_defn) ).
cnf(6,plain,
~ member(X0,empty_set),
inference(cnf,[status(esa)],[empty_set_defn]) ).
cnf(l18,plain,
~ member(sK1(empty_set,sK3),empty_set),
inference(instantiation,[status(thm)],[6]) ).
cnf(0,plain,
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subset_defn]) ).
cnf(l48,plain,
( ~ subset(sK3,difference(sK4,sK3))
| ~ member(sK1(sK3,empty_set),sK3)
| member(sK1(sK3,empty_set),difference(sK4,sK3)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(13,plain,
subset(sK3,difference(sK4,sK3)),
inference(cnf,[status(esa)],[prove_th50_negated]) ).
cnf(l50,plain,
subset(sK3,difference(sK4,sK3)),
inference(instantiation,[status(thm)],[13]) ).
fof(difference_defn,plain,
! [B,C,D] :
( member(D,difference(B,C))
<=> ( member(D,B)
& ~ member(D,C) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
cnf(4,plain,
( ~ member(X0,X1)
| ~ member(X0,difference(X2,X1)) ),
inference(cnf,[status(esa)],[difference_defn]) ).
cnf(l51,plain,
( ~ member(sK1(sK3,empty_set),sK3)
| ~ member(sK1(sK3,empty_set),difference(sK4,sK3)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l33,l18,l48,l50,l51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET591+3 : TPTP v9.0.0. Released v2.2.0.
% 0.10/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 21 22:04:19 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % launching worker at depth: 2
% 0.13/0.33 % launching worker at depth: 7
% 0.13/0.33 % launching worker at depth: 8
% 0.13/0.33 % launching worker at depth: 4
% 0.13/0.33 % launching worker at depth: 3
% 0.13/0.33 % launching worker at depth: 5
% 0.13/0.33 % launching worker at depth: 6
% 0.13/0.33 % launching worker at depth: 1
% 0.13/0.33 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.13/0.35 % launching worker at depth: 11
% 0.19/0.46 % SZS status Theorem for theBenchmark
% 0.19/0.46 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------