%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU152+2 : 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 : n027.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 12.83s 1.95s
% Output : CNFRefutation 12.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 21 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 7 ~; 4 |; 0 &)
% ( 1 <=>; 3 =>; 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 : 12 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l23_zfmisc_1,plain,
! [A,B] :
( in(A,B)
=> set_union2(singleton(A),B) = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l23_zfmisc_1) ).
fof(l23_zfmisc_1_negated,plain,
~ ! [A,B] :
( in(A,B)
=> set_union2(singleton(A),B) = B ),
inference(negate_conjecture,[status(cth)],[l23_zfmisc_1]) ).
cnf(69,plain,
in(sK9,sK10),
inference(cnf,[status(esa)],[l23_zfmisc_1_negated]) ).
cnf(l0,plain,
in(sK9,sK10),
inference(instantiation,[status(thm)],[69]) ).
fof(l2_zfmisc_1,plain,
! [A,B] :
( subset(singleton(A),B)
<=> in(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_zfmisc_1) ).
cnf(72,plain,
( ~ in(X0,X1)
| subset(singleton(X0),X1) ),
inference(cnf,[status(esa)],[l2_zfmisc_1]) ).
cnf(l1,plain,
( ~ in(sK9,sK10)
| subset(singleton(sK9),sK10) ),
inference(instantiation,[status(thm)],[72]) ).
fof(t12_xboole_1,plain,
! [A,B] :
( subset(A,B)
=> set_union2(A,B) = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_xboole_1) ).
cnf(84,plain,
( ~ subset(X0,X1)
| set_union2(X0,X1) = X1 ),
inference(cnf,[status(esa)],[t12_xboole_1]) ).
cnf(l16,plain,
( ~ subset(singleton(sK9),sK10)
| set_union2(singleton(sK9),sK10) = sK10 ),
inference(instantiation,[status(thm)],[84]) ).
cnf(70,plain,
set_union2(singleton(sK9),sK10) != sK10,
inference(cnf,[status(esa)],[l23_zfmisc_1_negated]) ).
cnf(l18,plain,
set_union2(singleton(sK9),sK10) != sK10,
inference(instantiation,[status(thm)],[70]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l16,l18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU152+2 : TPTP v9.0.0. Released v3.3.0.
% 0.04/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n027.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 23:37:49 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 9
% 0.19/0.39 % launching worker at depth: 10
% 12.83/1.95 % SZS status Theorem for theBenchmark
% 12.83/1.95 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------