%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU153+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 : 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 0.19s 0.45s
% 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 : 30 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 29 ( 15 ~; 6 |; 7 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 18 ( 1 sgn 11 !; 1 ?)
% 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(70,plain,
disjoint(singleton(sK9),sK10),
inference(cnf,[status(esa)],[l25_zfmisc_1_negated]) ).
cnf(l0,plain,
disjoint(singleton(sK9),sK10),
inference(instantiation,[status(thm)],[70]) ).
fof(t3_xboole_0,plain,
! [A,B] :
( ~ ( ~ disjoint(A,B)
& ! [C] :
~ ( in(C,A)
& in(C,B) ) )
& ~ ( ? [C] :
( in(C,A)
& in(C,B) )
& disjoint(A,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_xboole_0) ).
cnf(105,plain,
( ~ in(X0,X1)
| ~ in(X0,X2)
| ~ disjoint(X1,X2) ),
inference(cnf,[status(esa)],[t3_xboole_0]) ).
cnf(l1,plain,
( ~ in(sK9,singleton(sK9))
| ~ in(sK9,sK10)
| ~ disjoint(singleton(sK9),sK10) ),
inference(instantiation,[status(thm)],[105]) ).
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,
( ~ subset(singleton(X0),X1)
| in(X0,X1) ),
inference(cnf,[status(esa)],[l2_zfmisc_1]) ).
cnf(l7,plain,
( ~ subset(singleton(sK9),singleton(sK9))
| in(sK9,singleton(sK9)) ),
inference(instantiation,[status(thm)],[72]) ).
fof(reflexivity_r1_tarski,plain,
! [A,B] : subset(A,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
cnf(82,plain,
subset(X0,X0),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
cnf(l9,plain,
subset(singleton(sK9),singleton(sK9)),
inference(instantiation,[status(thm)],[82]) ).
cnf(71,plain,
in(sK9,sK10),
inference(cnf,[status(esa)],[l25_zfmisc_1_negated]) ).
cnf(l2,plain,
in(sK9,sK10),
inference(instantiation,[status(thm)],[71]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l7,l9,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU153+2 : TPTP v9.0.0. Released v3.3.0.
% 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Jul 21 23:38:19 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: 3
% 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: 4
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.37 % launching worker at depth: 10
% 0.19/0.45 % SZS status Theorem for theBenchmark
% 0.19/0.45 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------