%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET593+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 : n021.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 03:32:18 PM UTC 2025
% Result : Theorem 106.61s 13.78s
% Output : CNFRefutation 106.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 4 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 63 ( 27 ~; 27 |; 3 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 2 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_th52,plain,
! [B,C,D] :
( subset(B,union(C,D))
=> ( subset(difference(B,C),D)
& subset(difference(B,D),C) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th52) ).
fof(prove_th52_negated,plain,
~ ! [B,C,D] :
( subset(B,union(C,D))
=> ( subset(difference(B,C),D)
& subset(difference(B,D),C) ) ),
inference(negate_conjecture,[status(cth)],[prove_th52]) ).
cnf(18,plain,
( ~ subset(difference(sK3,sK4),sK5)
| ~ subset(difference(sK3,sK5),sK4) ),
inference(cnf,[status(esa)],[prove_th52_negated]) ).
cnf(l0,plain,
( ~ subset(difference(sK3,sK4),sK5)
| ~ subset(difference(sK3,sK5),sK4) ),
inference(instantiation,[status(thm)],[18]) ).
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(7,plain,
( member(sK1(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[subset_defn]) ).
cnf(l1,plain,
( member(sK1(difference(sK3,sK4),sK5),difference(sK3,sK4))
| subset(difference(sK3,sK4),sK5) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l255,plain,
( member(sK1(difference(sK3,sK5),sK4),difference(sK3,sK5))
| subset(difference(sK3,sK5),sK4) ),
inference(instantiation,[status(thm)],[7]) ).
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(l258,plain,
( ~ member(sK1(difference(sK3,sK5),sK4),sK5)
| ~ member(sK1(difference(sK3,sK5),sK4),difference(sK3,sK5)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(3,plain,
( ~ member(X0,difference(X1,X2))
| member(X0,X1) ),
inference(cnf,[status(esa)],[difference_defn]) ).
cnf(l2,plain,
( ~ member(sK1(difference(sK3,sK4),sK5),difference(sK3,sK4))
| member(sK1(difference(sK3,sK4),sK5),sK3) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(6,plain,
( ~ member(X0,X1)
| ~ subset(X1,X2)
| member(X0,X2) ),
inference(cnf,[status(esa)],[subset_defn]) ).
cnf(l193,plain,
( ~ member(sK1(difference(sK3,sK4),sK5),sK3)
| ~ subset(sK3,union(sK4,sK5))
| member(sK1(difference(sK3,sK4),sK5),union(sK4,sK5)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(17,plain,
subset(sK3,union(sK4,sK5)),
inference(cnf,[status(esa)],[prove_th52_negated]) ).
cnf(l207,plain,
subset(sK3,union(sK4,sK5)),
inference(instantiation,[status(thm)],[17]) ).
fof(union_defn,plain,
! [B,C,D] :
( member(D,union(B,C))
<=> ( member(D,B)
| member(D,C) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
cnf(0,plain,
( ~ member(X0,union(X1,X2))
| member(X0,X1)
| member(X0,X2) ),
inference(cnf,[status(esa)],[union_defn]) ).
cnf(l195,plain,
( ~ member(sK1(difference(sK3,sK4),sK5),union(sK4,sK5))
| member(sK1(difference(sK3,sK4),sK5),sK4)
| member(sK1(difference(sK3,sK4),sK5),sK5) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l198,plain,
( ~ member(sK1(difference(sK3,sK4),sK5),sK4)
| ~ member(sK1(difference(sK3,sK4),sK5),difference(sK3,sK4)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(8,plain,
( ~ member(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[subset_defn]) ).
cnf(l200,plain,
( ~ member(sK1(difference(sK3,sK4),sK5),sK5)
| subset(difference(sK3,sK4),sK5) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l261,plain,
( ~ member(sK1(difference(sK3,sK5),sK4),union(sK4,sK5))
| member(sK1(difference(sK3,sK5),sK4),sK4)
| member(sK1(difference(sK3,sK5),sK4),sK5) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l265,plain,
( ~ member(sK1(difference(sK3,sK5),sK4),sK3)
| ~ subset(sK3,union(sK4,sK5))
| member(sK1(difference(sK3,sK5),sK4),union(sK4,sK5)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l270,plain,
subset(sK3,union(sK4,sK5)),
inference(instantiation,[status(thm)],[17]) ).
cnf(l266,plain,
( ~ member(sK1(difference(sK3,sK5),sK4),difference(sK3,sK5))
| member(sK1(difference(sK3,sK5),sK4),sK3) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l273,plain,
( ~ member(sK1(difference(sK3,sK5),sK4),sK4)
| subset(difference(sK3,sK5),sK4) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l255,l258,l2,l193,l207,l195,l198,l200,l261,l265,l270,l266,l273]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET593+3 : 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
% 0.14/0.34 % Computer : n021.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 22:04:19 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % launching worker at depth: 2
% 0.14/0.34 % launching worker at depth: 4
% 0.14/0.34 % launching worker at depth: 1
% 0.14/0.34 % launching worker at depth: 5
% 0.14/0.34 % launching worker at depth: 3
% 0.14/0.34 % launching worker at depth: 6
% 0.14/0.34 % launching worker at depth: 7
% 0.14/0.34 % launching worker at depth: 8
% 0.14/0.35 % launching worker at depth: 9
% 0.14/0.35 % launching worker at depth: 10
% 0.14/0.37 % launching worker at depth: 11
% 2.04/0.58 % launching worker at depth: 12
% 106.61/13.78 % SZS status Theorem for theBenchmark
% 106.61/13.78 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------