%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET917+1 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/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 03:32:58 PM UTC 2025
% Result : Theorem 0.19s 0.37s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 24 ( 10 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 16 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t58_zfmisc_1,plain,
! [A,B] :
( disjoint(singleton(A),B)
| set_intersection2(singleton(A),B) = singleton(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t58_zfmisc_1) ).
fof(t58_zfmisc_1_negated,plain,
~ ! [A,B] :
( disjoint(singleton(A),B)
| set_intersection2(singleton(A),B) = singleton(A) ),
inference(negate_conjecture,[status(cth)],[t58_zfmisc_1]) ).
cnf(8,plain,
~ disjoint(singleton(sK3),sK4),
inference(cnf,[status(esa)],[t58_zfmisc_1_negated]) ).
cnf(l0,plain,
~ disjoint(singleton(sK3),sK4),
inference(instantiation,[status(thm)],[8]) ).
fof(l28_zfmisc_1,plain,
! [A,B] :
( ~ in(A,B)
=> disjoint(singleton(A),B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l28_zfmisc_1) ).
cnf(3,plain,
( in(X0,X1)
| disjoint(singleton(X0),X1) ),
inference(cnf,[status(esa)],[l28_zfmisc_1]) ).
cnf(l1,plain,
( in(sK3,sK4)
| disjoint(singleton(sK3),sK4) ),
inference(instantiation,[status(thm)],[3]) ).
fof(l32_zfmisc_1,plain,
! [A,B] :
( in(A,B)
=> set_intersection2(B,singleton(A)) = singleton(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l32_zfmisc_1) ).
cnf(4,plain,
( ~ in(X0,X1)
| set_intersection2(X1,singleton(X0)) = singleton(X0) ),
inference(cnf,[status(esa)],[l32_zfmisc_1]) ).
cnf(l2,plain,
( ~ in(sK3,sK4)
| set_intersection2(sK4,singleton(sK3)) = singleton(sK3) ),
inference(instantiation,[status(thm)],[4]) ).
fof(commutativity_k3_xboole_0,plain,
! [A,B] : set_intersection2(A,B) = set_intersection2(B,A),
file('/export/starexec/sandbox2/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(l9,plain,
set_intersection2(singleton(sK3),sK4) = set_intersection2(sK4,singleton(sK3)),
inference(instantiation,[status(thm)],[1]) ).
cnf(9,plain,
set_intersection2(singleton(sK3),sK4) != singleton(sK3),
inference(cnf,[status(esa)],[t58_zfmisc_1_negated]) ).
cnf(l17,plain,
set_intersection2(singleton(sK3),sK4) != singleton(sK3),
inference(instantiation,[status(thm)],[9]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l9,l17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET917+1 : TPTP v9.0.0. Released v3.2.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n022.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 23:01:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 5
% 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: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.19/0.36 % launching worker at depth: 11
% 0.19/0.37 % SZS status Theorem for theBenchmark
% 0.19/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------