%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU153+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/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 03:44:39 PM UTC 2025
% Result : Theorem 2.39s 0.66s
% Output : CNFRefutation 2.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 11 unt; 0 def)
% Number of atoms : 72 ( 25 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 70 ( 32 ~; 29 |; 3 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 45 ( 2 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l25_zfmisc_1,plain,
! [A,B] :
~ ( disjoint(singleton(A),B)
& in(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l25_zfmisc_1) ).
fof(l25_zfmisc_1_negated,plain,
~ ! [A,B] :
~ ( disjoint(singleton(A),B)
& in(A,B) ),
inference(negate_conjecture,[status(cth)],[l25_zfmisc_1]) ).
cnf(22,plain,
disjoint(singleton(sK4),sK5),
inference(cnf,[status(esa)],[l25_zfmisc_1_negated]) ).
cnf(l0,plain,
disjoint(singleton(sK4),sK5),
inference(instantiation,[status(thm)],[22]) ).
fof(d7_xboole_0,plain,
! [A,B] :
( disjoint(A,B)
<=> set_intersection2(A,B) = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_xboole_0) ).
cnf(18,plain,
( ~ disjoint(X0,X1)
| set_intersection2(X0,X1) = empty_set ),
inference(cnf,[status(esa)],[d7_xboole_0]) ).
cnf(l68,plain,
( ~ disjoint(set_intersection2(singleton(sK4),singleton(sK4)),sK5)
| set_intersection2(set_intersection2(singleton(sK4),singleton(sK4)),sK5) = empty_set ),
inference(instantiation,[status(thm)],[18]) ).
fof(d3_xboole_0,plain,
! [A,B,C] :
( C = set_intersection2(A,B)
<=> ! [D] :
( in(D,C)
<=> ( in(D,A)
& in(D,B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(13,plain,
( X0 = set_intersection2(X1,X2)
| in(sK3(X1,X2,X0),X0)
| sP1(X2,X1,X0) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
cnf(l69,plain,
( singleton(sK4) = set_intersection2(singleton(sK4),singleton(sK4))
| in(sK3(singleton(sK4),singleton(sK4),singleton(sK4)),singleton(sK4))
| sP1(singleton(sK4),singleton(sK4),singleton(sK4)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(15,plain,
( ~ in(sK3(X0,X1,X2),X2)
| ~ sP1(X1,X0,X2) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
cnf(l70,plain,
( ~ in(sK3(singleton(sK4),singleton(sK4),singleton(sK4)),singleton(sK4))
| ~ sP1(singleton(sK4),singleton(sK4),singleton(sK4)) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(17,plain,
( in(sK3(X0,X1,X2),X0)
| ~ sP1(X1,X0,X2) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
cnf(l72,plain,
( in(sK3(singleton(sK4),singleton(sK4),singleton(sK4)),singleton(sK4))
| ~ sP1(singleton(sK4),singleton(sK4),singleton(sK4)) ),
inference(instantiation,[status(thm)],[17]) ).
fof(d1_xboole_0,plain,
! [A] :
( A = empty_set
<=> ! [B] : ~ in(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).
cnf(8,plain,
( X0 != empty_set
| ~ in(X1,X0) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
cnf(l73,plain,
( set_intersection2(set_intersection2(singleton(sK4),singleton(sK4)),sK5) != empty_set
| ~ in(sK4,set_intersection2(set_intersection2(singleton(sK4),singleton(sK4)),sK5)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(14,plain,
( ~ in(sK3(X0,X1,X2),X0)
| ~ in(sK3(X0,X1,X2),X1)
| X2 = set_intersection2(X0,X1)
| sP1(X1,X0,X2) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
cnf(l71,plain,
( ~ in(sK3(singleton(sK4),singleton(sK4),singleton(sK4)),singleton(sK4))
| ~ in(sK3(singleton(sK4),singleton(sK4),singleton(sK4)),singleton(sK4))
| singleton(sK4) = set_intersection2(singleton(sK4),singleton(sK4))
| sP1(singleton(sK4),singleton(sK4),singleton(sK4)) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l74,plain,
( ~ in(sK3(singleton(sK4),singleton(sK4),singleton(sK4)),singleton(sK4))
| ~ sP1(singleton(sK4),singleton(sK4),singleton(sK4)) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(12,plain,
( X0 != set_intersection2(X1,X2)
| ~ in(X3,X1)
| ~ in(X3,X2)
| in(X3,X0) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
cnf(l75,plain,
( set_intersection2(set_intersection2(singleton(sK4),singleton(sK4)),sK5) != set_intersection2(sK5,set_intersection2(singleton(sK4),singleton(sK4)))
| ~ in(sK4,sK5)
| ~ in(sK4,set_intersection2(singleton(sK4),singleton(sK4)))
| in(sK4,set_intersection2(set_intersection2(singleton(sK4),singleton(sK4)),sK5)) ),
inference(instantiation,[status(thm)],[12]) ).
fof(commutativity_k3_xboole_0,plain,
! [A,B] : set_intersection2(A,B) = set_intersection2(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
cnf(1,plain,
set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).
cnf(l78,plain,
set_intersection2(set_intersection2(singleton(sK4),singleton(sK4)),sK5) = set_intersection2(sK5,set_intersection2(singleton(sK4),singleton(sK4))),
inference(instantiation,[status(thm)],[1]) ).
cnf(23,plain,
in(sK4,sK5),
inference(cnf,[status(esa)],[l25_zfmisc_1_negated]) ).
cnf(l79,plain,
in(sK4,sK5),
inference(instantiation,[status(thm)],[23]) ).
fof(d1_tarski,plain,
! [A,B] :
( B = singleton(A)
<=> ! [C] :
( in(C,B)
<=> C = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
cnf(3,plain,
( X0 != singleton(X1)
| X2 != X1
| in(X2,X0) ),
inference(cnf,[status(esa)],[d1_tarski]) ).
cnf(l102,plain,
( set_intersection2(singleton(sK4),singleton(sK4)) != singleton(sK4)
| sK4 != sK4
| in(sK4,set_intersection2(singleton(sK4),singleton(sK4))) ),
inference(instantiation,[status(thm)],[3]) ).
fof(idempotence_k3_xboole_0,plain,
! [A,B] : set_intersection2(A,A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
cnf(21,plain,
set_intersection2(X0,X0) = X0,
inference(cnf,[status(esa)],[idempotence_k3_xboole_0]) ).
cnf(l104,plain,
set_intersection2(singleton(sK4),singleton(sK4)) = singleton(sK4),
inference(instantiation,[status(thm)],[21]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l68,l69,l70,l72,l73,l71,l74,l75,l78,l79,l102,l104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : SEU153+1 : TPTP v9.0.0. Released v3.3.0.
% 0.05/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/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 23:37:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 1.67/0.54 % launching worker at depth: 11
% 2.39/0.66 % SZS status Theorem for theBenchmark
% 2.39/0.66 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------