%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU120+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 03:44:31 PM UTC 2025
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 1 unt; 0 def)
% Number of atoms : 47 ( 10 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 52 ( 27 ~; 17 |; 6 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 20 ( 2 sgn 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t4_xboole_0,plain,
! [A,B] :
( ~ ( ~ disjoint(A,B)
& ! [C] : ~ in(C,set_intersection2(A,B)) )
& ~ ( ? [C] : in(C,set_intersection2(A,B))
& disjoint(A,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_xboole_0) ).
fof(t4_xboole_0_negated,plain,
~ ! [A,B] :
( ~ ( ~ disjoint(A,B)
& ! [C] : ~ in(C,set_intersection2(A,B)) )
& ~ ( ? [C] : in(C,set_intersection2(A,B))
& disjoint(A,B) ) ),
inference(negate_conjecture,[status(cth)],[t4_xboole_0]) ).
cnf(11,plain,
( ~ disjoint(sK4,sK5)
| sP0 ),
inference(cnf,[status(esa)],[t4_xboole_0_negated]) ).
cnf(l0,plain,
( ~ disjoint(sK4,sK5)
| sP0 ),
inference(instantiation,[status(thm)],[11]) ).
cnf(14,plain,
( in(sK6,set_intersection2(sK4,sK5))
| ~ sP0 ),
inference(cnf,[status(esa)],[t4_xboole_0_negated]) ).
cnf(l2,plain,
( in(sK6,set_intersection2(sK4,sK5))
| ~ sP0 ),
inference(instantiation,[status(thm)],[14]) ).
cnf(13,plain,
( disjoint(sK4,sK5)
| ~ sP0 ),
inference(cnf,[status(esa)],[t4_xboole_0_negated]) ).
cnf(l1,plain,
( disjoint(sK4,sK5)
| ~ sP0 ),
inference(instantiation,[status(thm)],[13]) ).
fof(d1_xboole_0,plain,
! [A] :
( A = empty_set
<=> ! [B] : ~ in(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
cnf(2,plain,
( X0 != empty_set
| ~ in(X1,X0) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
cnf(l4,plain,
( set_intersection2(sK4,sK5) != empty_set
| ~ in(sK6,set_intersection2(sK4,sK5)) ),
inference(instantiation,[status(thm)],[2]) ).
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(4,plain,
( ~ disjoint(X0,X1)
| set_intersection2(X0,X1) = empty_set ),
inference(cnf,[status(esa)],[d7_xboole_0]) ).
cnf(l6,plain,
( ~ disjoint(sK4,sK5)
| set_intersection2(sK4,sK5) = empty_set ),
inference(instantiation,[status(thm)],[4]) ).
cnf(12,plain,
( ~ in(X0,set_intersection2(sK4,sK5))
| sP0 ),
inference(cnf,[status(esa)],[t4_xboole_0_negated]) ).
cnf(l27,plain,
( ~ in(sK1(set_intersection2(sK4,sK5)),set_intersection2(sK4,sK5))
| sP0 ),
inference(instantiation,[status(thm)],[12]) ).
cnf(3,plain,
( X0 = empty_set
| in(sK1(X0),X0) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
cnf(l28,plain,
( set_intersection2(sK4,sK5) = empty_set
| in(sK1(set_intersection2(sK4,sK5)),set_intersection2(sK4,sK5)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l9,plain,
( disjoint(sK4,sK5)
| ~ sP0 ),
inference(instantiation,[status(thm)],[13]) ).
cnf(5,plain,
( set_intersection2(X0,X1) != empty_set
| disjoint(X0,X1) ),
inference(cnf,[status(esa)],[d7_xboole_0]) ).
cnf(l29,plain,
( set_intersection2(sK4,sK5) != empty_set
| disjoint(sK4,sK5) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l1,l4,l6,l27,l28,l9,l29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU120+1 : TPTP v9.0.0. Released v3.3.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n024.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 23:31:19 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.35 % SZS status Theorem for theBenchmark
% 0.12/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------