%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU120+2 : 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 : n017.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 2.99s 0.70s
% Output : CNFRefutation 2.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 4 unt; 0 def)
% Number of atoms : 50 ( 13 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 : 23 ( 3 sgn 12 !; 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(22,plain,
( ~ disjoint(sK6,sK7)
| sP1 ),
inference(cnf,[status(esa)],[t4_xboole_0_negated]) ).
cnf(l0,plain,
( ~ disjoint(sK6,sK7)
| sP1 ),
inference(instantiation,[status(thm)],[22]) ).
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(13,plain,
( set_intersection2(X0,X1) != empty_set
| disjoint(X0,X1) ),
inference(cnf,[status(esa)],[d7_xboole_0]) ).
cnf(l1,plain,
( set_intersection2(sK6,sK7) != empty_set
| disjoint(sK6,sK7) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(25,plain,
( in(sK8,set_intersection2(sK6,sK7))
| ~ sP1 ),
inference(cnf,[status(esa)],[t4_xboole_0_negated]) ).
cnf(l2,plain,
( in(sK8,set_intersection2(sK6,sK7))
| ~ sP1 ),
inference(instantiation,[status(thm)],[25]) ).
fof(d1_xboole_0,plain,
! [A] :
( A = empty_set
<=> ! [B] : ~ in(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
cnf(3,plain,
( X0 = empty_set
| in(sK1(X0),X0) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
cnf(l3,plain,
( set_intersection2(sK6,sK7) = empty_set
| in(sK1(set_intersection2(sK6,sK7)),set_intersection2(sK6,sK7)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(23,plain,
( ~ in(X0,set_intersection2(sK6,sK7))
| sP1 ),
inference(cnf,[status(esa)],[t4_xboole_0_negated]) ).
cnf(l14,plain,
( ~ in(sK1(set_intersection2(sK6,sK7)),set_intersection2(sK6,sK7))
| sP1 ),
inference(instantiation,[status(thm)],[23]) ).
cnf(24,plain,
( disjoint(sK6,sK7)
| ~ sP1 ),
inference(cnf,[status(esa)],[t4_xboole_0_negated]) ).
cnf(l20,plain,
( disjoint(sK6,sK7)
| ~ sP1 ),
inference(instantiation,[status(thm)],[24]) ).
cnf(12,plain,
( ~ disjoint(X0,X1)
| set_intersection2(X0,X1) = empty_set ),
inference(cnf,[status(esa)],[d7_xboole_0]) ).
cnf(l32,plain,
( ~ disjoint(sK6,sK7)
| set_intersection2(sK6,sK7) = empty_set ),
inference(instantiation,[status(thm)],[12]) ).
fof(idempotence_k3_xboole_0,plain,
! [A,B] : set_intersection2(A,A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
cnf(15,plain,
set_intersection2(X0,X0) = X0,
inference(cnf,[status(esa)],[idempotence_k3_xboole_0]) ).
cnf(l18,plain,
set_intersection2(sK8,sK8) = sK8,
inference(instantiation,[status(thm)],[15]) ).
cnf(l33,plain,
( disjoint(sK6,sK7)
| ~ sP1 ),
inference(instantiation,[status(thm)],[24]) ).
cnf(2,plain,
( X0 != empty_set
| ~ in(X1,X0) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
cnf(l25,plain,
( empty_set != empty_set
| ~ in(set_intersection2(sK8,sK8),empty_set) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l14,l20,l32,l18,l33,l25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU120+2 : TPTP v9.0.0. Released v3.3.0.
% 0.07/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 23:31:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.36 % launching worker at depth: 11
% 2.99/0.70 % SZS status Theorem for theBenchmark
% 2.99/0.70 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------