%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU162+3 : 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 : 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 03:44:41 PM UTC 2025
% Result : Theorem 0.19s 0.42s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 1 unt; 0 def)
% Number of atoms : 45 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 43 ( 21 ~; 16 |; 1 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t65_zfmisc_1,plain,
! [A,B] :
( set_difference(A,singleton(B)) = A
<=> ~ in(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_zfmisc_1) ).
fof(t65_zfmisc_1_negated,plain,
~ ! [A,B] :
( set_difference(A,singleton(B)) = A
<=> ~ in(B,A) ),
inference(negate_conjecture,[status(cth)],[t65_zfmisc_1]) ).
cnf(6,plain,
( ~ in(sK4,sK3)
| set_difference(sK3,singleton(sK4)) = sK3 ),
inference(cnf,[status(esa)],[t65_zfmisc_1_negated]) ).
cnf(l0,plain,
( ~ in(sK4,sK3)
| set_difference(sK3,singleton(sK4)) = sK3 ),
inference(instantiation,[status(thm)],[6]) ).
cnf(7,plain,
( set_difference(sK3,singleton(sK4)) != sK3
| in(sK4,sK3) ),
inference(cnf,[status(esa)],[t65_zfmisc_1_negated]) ).
cnf(l1,plain,
( set_difference(sK3,singleton(sK4)) != sK3
| in(sK4,sK3) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l9,plain,
( set_difference(sK3,singleton(sK4)) != sK3
| in(sK4,sK3) ),
inference(instantiation,[status(thm)],[7]) ).
fof(t83_xboole_1,plain,
! [A,B] :
( disjoint(A,B)
<=> set_difference(A,B) = A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t83_xboole_1) ).
cnf(8,plain,
( ~ disjoint(X0,X1)
| set_difference(X0,X1) = X0 ),
inference(cnf,[status(esa)],[t83_xboole_1]) ).
cnf(l3,plain,
( ~ disjoint(sK3,singleton(sK4))
| set_difference(sK3,singleton(sK4)) = sK3 ),
inference(instantiation,[status(thm)],[8]) ).
fof(symmetry_r1_xboole_0,plain,
! [A,B] :
( disjoint(A,B)
=> disjoint(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_xboole_0) ).
cnf(5,plain,
( ~ disjoint(X0,X1)
| disjoint(X1,X0) ),
inference(cnf,[status(esa)],[symmetry_r1_xboole_0]) ).
cnf(l7,plain,
( ~ disjoint(singleton(sK4),sK3)
| disjoint(sK3,singleton(sK4)) ),
inference(instantiation,[status(thm)],[5]) ).
fof(l28_zfmisc_1,plain,
! [A,B] :
( ~ in(A,B)
=> disjoint(singleton(A),B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l28_zfmisc_1) ).
cnf(2,plain,
( disjoint(singleton(X0),X1)
| in(X0,X1) ),
inference(cnf,[status(esa)],[l28_zfmisc_1]) ).
cnf(l12,plain,
( disjoint(singleton(sK4),sK3)
| in(sK4,sK3) ),
inference(instantiation,[status(thm)],[2]) ).
fof(l25_zfmisc_1,plain,
! [A,B] :
~ ( disjoint(singleton(A),B)
& in(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l25_zfmisc_1) ).
cnf(1,plain,
( ~ disjoint(singleton(X0),X1)
| ~ in(X0,X1) ),
inference(cnf,[status(esa)],[l25_zfmisc_1]) ).
cnf(l4,plain,
( ~ disjoint(singleton(sK4),sK3)
| ~ in(sK4,sK3) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l25,plain,
( ~ disjoint(sK3,singleton(sK4))
| disjoint(singleton(sK4),sK3) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(9,plain,
( set_difference(X0,X1) != X0
| disjoint(X0,X1) ),
inference(cnf,[status(esa)],[t83_xboole_1]) ).
cnf(l26,plain,
( set_difference(sK3,singleton(sK4)) != sK3
| disjoint(sK3,singleton(sK4)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l9,l3,l7,l12,l4,l25,l26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU162+3 : TPTP v9.0.0. Released v3.2.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n022.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 23:41:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.35 % launching worker at depth: 11
% 0.19/0.42 % SZS status Theorem for theBenchmark
% 0.19/0.42 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------