%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU140+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n024.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 03:44:35 PM UTC 2025
% Result : Theorem 1.96s 0.53s
% Output : CNFRefutation 1.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 35 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 11 ~; 8 |; 2 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t63_xboole_1,plain,
! [A,B,C] :
( ( subset(A,B)
& disjoint(B,C) )
=> disjoint(A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_xboole_1) ).
fof(t63_xboole_1_negated,plain,
~ ! [A,B,C] :
( ( subset(A,B)
& disjoint(B,C) )
=> disjoint(A,C) ),
inference(negate_conjecture,[status(cth)],[t63_xboole_1]) ).
cnf(13,plain,
subset(sK3,sK4),
inference(cnf,[status(esa)],[t63_xboole_1_negated]) ).
cnf(l0,plain,
subset(sK3,sK4),
inference(instantiation,[status(thm)],[13]) ).
fof(t26_xboole_1,plain,
! [A,B,C] :
( subset(A,B)
=> subset(set_intersection2(A,C),set_intersection2(B,C)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_xboole_1) ).
cnf(10,plain,
( ~ subset(X0,X1)
| subset(set_intersection2(X0,X2),set_intersection2(X1,X2)) ),
inference(cnf,[status(esa)],[t26_xboole_1]) ).
cnf(l1,plain,
( ~ subset(sK3,sK4)
| subset(set_intersection2(sK3,sK5),set_intersection2(sK4,sK5)) ),
inference(instantiation,[status(thm)],[10]) ).
fof(t3_xboole_1,plain,
! [A] :
( subset(A,empty_set)
=> A = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_1) ).
cnf(12,plain,
( ~ subset(X0,empty_set)
| X0 = empty_set ),
inference(cnf,[status(esa)],[t3_xboole_1]) ).
cnf(l67,plain,
( ~ subset(set_intersection2(sK3,sK5),empty_set)
| set_intersection2(sK3,sK5) = empty_set ),
inference(instantiation,[status(thm)],[12]) ).
fof(d7_xboole_0,plain,
! [A,B] :
( disjoint(A,B)
<=> set_intersection2(A,B) = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_xboole_0) ).
cnf(3,plain,
( set_intersection2(X0,X1) != empty_set
| disjoint(X0,X1) ),
inference(cnf,[status(esa)],[d7_xboole_0]) ).
cnf(l69,plain,
( set_intersection2(sK3,sK5) != empty_set
| disjoint(sK3,sK5) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(15,plain,
~ disjoint(sK3,sK5),
inference(cnf,[status(esa)],[t63_xboole_1_negated]) ).
cnf(l76,plain,
~ disjoint(sK3,sK5),
inference(instantiation,[status(thm)],[15]) ).
cnf(2,plain,
( ~ disjoint(X0,X1)
| set_intersection2(X0,X1) = empty_set ),
inference(cnf,[status(esa)],[d7_xboole_0]) ).
cnf(l23,plain,
( ~ disjoint(sK4,sK5)
| set_intersection2(sK4,sK5) = empty_set ),
inference(instantiation,[status(thm)],[2]) ).
cnf(14,plain,
disjoint(sK4,sK5),
inference(cnf,[status(esa)],[t63_xboole_1_negated]) ).
cnf(l24,plain,
disjoint(sK4,sK5),
inference(instantiation,[status(thm)],[14]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l67,l69,l76,l23,l24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SEU140+1 : TPTP v9.0.0. Released v3.3.0.
% 0.00/0.09 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.29 % Computer : n024.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Jul 21 23:35:04 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % launching worker at depth: 2
% 0.09/0.29 % launching worker at depth: 4
% 0.09/0.29 % launching worker at depth: 1
% 0.09/0.29 % launching worker at depth: 3
% 0.09/0.29 % launching worker at depth: 5
% 0.09/0.29 % launching worker at depth: 6
% 0.09/0.29 % launching worker at depth: 7
% 0.09/0.29 % launching worker at depth: 8
% 0.09/0.29 % launching worker at depth: 9
% 0.09/0.29 % launching worker at depth: 10
% 0.13/0.31 % launching worker at depth: 11
% 1.96/0.53 % SZS status Theorem for theBenchmark
% 1.96/0.53 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------