%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET941+1 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 03:33:01 PM UTC 2025
% Result : Theorem 0.20s 0.47s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 5 unt; 0 def)
% Number of atoms : 50 ( 5 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 49 ( 21 ~; 19 |; 1 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-3 aty)
% Number of variables : 27 ( 0 sgn 12 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t94_zfmisc_1,plain,
! [A,B] :
( ! [C] :
( in(C,A)
=> subset(C,B) )
=> subset(union(A),B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t94_zfmisc_1) ).
fof(t94_zfmisc_1_negated,plain,
~ ! [A,B] :
( ! [C] :
( in(C,A)
=> subset(C,B) )
=> subset(union(A),B) ),
inference(negate_conjecture,[status(cth)],[t94_zfmisc_1]) ).
cnf(15,plain,
( ~ in(X0,sK9)
| subset(X0,sK10) ),
inference(cnf,[status(esa)],[t94_zfmisc_1_negated]) ).
cnf(l0,plain,
( ~ in(sK2(sK9,union(sK9),sK1(union(sK9),sK10)),sK9)
| subset(sK2(sK9,union(sK9),sK1(union(sK9),sK10)),sK10) ),
inference(instantiation,[status(thm)],[15]) ).
fof(d4_tarski,plain,
! [A,B] :
( B = union(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] :
( in(C,D)
& in(D,A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tarski) ).
cnf(5,plain,
( ~ in(X0,X1)
| X1 != union(X2)
| in(sK2(X2,X1,X0),X2) ),
inference(cnf,[status(esa)],[d4_tarski]) ).
cnf(l1,plain,
( ~ in(sK1(union(sK9),sK10),union(sK9))
| union(sK9) != union(sK9)
| in(sK2(sK9,union(sK9),sK1(union(sK9),sK10)),sK9) ),
inference(instantiation,[status(thm)],[5]) ).
fof(d3_tarski,plain,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(1,plain,
( ~ in(X0,X1)
| ~ subset(X1,X2)
| in(X0,X2) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l2,plain,
( ~ in(sK1(union(sK9),sK10),sK2(sK9,union(sK9),sK1(union(sK9),sK10)))
| ~ subset(sK2(sK9,union(sK9),sK1(union(sK9),sK10)),sK10)
| in(sK1(union(sK9),sK10),sK10) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(4,plain,
( ~ in(X0,X1)
| X1 != union(X2)
| in(X0,sK2(X2,X1,X0)) ),
inference(cnf,[status(esa)],[d4_tarski]) ).
cnf(l6,plain,
( ~ in(sK1(union(sK9),sK10),union(sK9))
| union(sK9) != union(sK9)
| in(sK1(union(sK9),sK10),sK2(sK9,union(sK9),sK1(union(sK9),sK10))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(2,plain,
( in(sK1(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l21,plain,
( in(sK1(union(sK9),sK10),union(sK9))
| subset(union(sK9),sK10) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(3,plain,
( ~ in(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l96,plain,
( ~ in(sK1(union(sK9),sK10),sK10)
| subset(union(sK9),sK10) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(16,plain,
~ subset(union(sK9),sK10),
inference(cnf,[status(esa)],[t94_zfmisc_1_negated]) ).
cnf(l22,plain,
~ subset(union(sK9),sK10),
inference(instantiation,[status(thm)],[16]) ).
cnf(l99,plain,
~ subset(union(sK9),sK10),
inference(instantiation,[status(thm)],[16]) ).
cnf(l80,plain,
( in(sK1(union(sK9),sK10),union(sK9))
| subset(union(sK9),sK10) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l82,plain,
~ subset(union(sK9),sK10),
inference(instantiation,[status(thm)],[16]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l6,l21,l96,l22,l99,l80,l82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET941+1 : TPTP v9.0.0. Released v3.2.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 23:03:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.37 % launching worker at depth: 11
% 0.20/0.47 % SZS status Theorem for theBenchmark
% 0.20/0.47 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------