%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU295+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 03:45:06 PM UTC 2025
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 7 ~; 4 |; 1 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 1 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t15_finset_1,plain,
! [A,B] :
( finite(A)
=> finite(set_intersection2(A,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_finset_1) ).
fof(t15_finset_1_negated,plain,
~ ! [A,B] :
( finite(A)
=> finite(set_intersection2(A,B)) ),
inference(negate_conjecture,[status(cth)],[t15_finset_1]) ).
cnf(807,plain,
finite(sK285),
inference(cnf,[status(esa)],[t15_finset_1_negated]) ).
cnf(l0,plain,
finite(sK285),
inference(instantiation,[status(thm)],[807]) ).
fof(t13_finset_1,plain,
! [A,B] :
( ( subset(A,B)
& finite(B) )
=> finite(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_finset_1) ).
cnf(794,plain,
( ~ finite(X0)
| ~ subset(X1,X0)
| finite(X1) ),
inference(cnf,[status(esa)],[t13_finset_1]) ).
cnf(l1,plain,
( ~ finite(sK285)
| ~ subset(set_intersection2(sK285,sK286),sK285)
| finite(set_intersection2(sK285,sK286)) ),
inference(instantiation,[status(thm)],[794]) ).
cnf(808,plain,
~ finite(set_intersection2(sK285,sK286)),
inference(cnf,[status(esa)],[t15_finset_1_negated]) ).
cnf(l3,plain,
~ finite(set_intersection2(sK285,sK286)),
inference(instantiation,[status(thm)],[808]) ).
fof(t17_xboole_1,plain,
! [A,B] : subset(set_intersection2(A,B),A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_xboole_1) ).
cnf(822,plain,
subset(set_intersection2(X0,X1),X0),
inference(cnf,[status(esa)],[t17_xboole_1]) ).
cnf(l4,plain,
subset(set_intersection2(sK285,sK286),sK285),
inference(instantiation,[status(thm)],[822]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU295+2 : TPTP v9.0.0. Released v3.3.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n027.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 : Tue Jul 22 00:36:49 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.36 % launching worker at depth: 1
% 0.13/0.36 % launching worker at depth: 3
% 0.13/0.36 % launching worker at depth: 2
% 0.13/0.36 % launching worker at depth: 4
% 0.13/0.36 % launching worker at depth: 5
% 0.13/0.36 % launching worker at depth: 7
% 0.13/0.36 % launching worker at depth: 6
% 0.13/0.36 % launching worker at depth: 8
% 0.13/0.36 % launching worker at depth: 9
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------