TSTP Solution File: SET969+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET969+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n014.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 : Wed Aug 31 18:26:13 EDT 2022
% Result : Theorem 1.88s 0.61s
% Output : Refutation 1.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 11
% Syntax : Number of formulae : 120 ( 20 unt; 0 def)
% Number of atoms : 413 ( 80 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 525 ( 232 ~; 232 |; 46 &)
% ( 8 <=>; 5 =>; 0 <=; 2 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 280 ( 257 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f545,plain,
$false,
inference(subsumption_resolution,[],[f544,f427]) ).
fof(f427,plain,
in(sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK3),
inference(subsumption_resolution,[],[f425,f86]) ).
fof(f86,plain,
! [X2,X3,X1] :
( ~ in(X3,set_intersection2(X2,X1))
| in(X3,X2) ),
inference(equality_resolution,[],[f57]) ).
fof(f57,plain,
! [X2,X3,X0,X1] :
( in(X3,X2)
| ~ in(X3,X0)
| set_intersection2(X2,X1) != X0 ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X2) )
| ~ in(X3,X0) ) )
| set_intersection2(X2,X1) != X0 )
& ( set_intersection2(X2,X1) = X0
| ( ( ~ in(sK0(X0,X1,X2),X1)
| ~ in(sK0(X0,X1,X2),X2)
| ~ in(sK0(X0,X1,X2),X0) )
& ( ( in(sK0(X0,X1,X2),X1)
& in(sK0(X0,X1,X2),X2) )
| in(sK0(X0,X1,X2),X0) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f33,f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ? [X4] :
( ( ~ in(X4,X1)
| ~ in(X4,X2)
| ~ in(X4,X0) )
& ( ( in(X4,X1)
& in(X4,X2) )
| in(X4,X0) ) )
=> ( ( ~ in(sK0(X0,X1,X2),X1)
| ~ in(sK0(X0,X1,X2),X2)
| ~ in(sK0(X0,X1,X2),X0) )
& ( ( in(sK0(X0,X1,X2),X1)
& in(sK0(X0,X1,X2),X2) )
| in(sK0(X0,X1,X2),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X2) )
| ~ in(X3,X0) ) )
| set_intersection2(X2,X1) != X0 )
& ( set_intersection2(X2,X1) = X0
| ? [X4] :
( ( ~ in(X4,X1)
| ~ in(X4,X2)
| ~ in(X4,X0) )
& ( ( in(X4,X1)
& in(X4,X2) )
| in(X4,X0) ) ) ) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X1,X0,X2] :
( ( ! [X3] :
( ( in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X2) )
| ~ in(X3,X1) ) )
| set_intersection2(X2,X0) != X1 )
& ( set_intersection2(X2,X0) = X1
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X2)
| ~ in(X3,X1) )
& ( ( in(X3,X0)
& in(X3,X2) )
| in(X3,X1) ) ) ) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X1,X0,X2] :
( ( ! [X3] :
( ( in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X2) )
| ~ in(X3,X1) ) )
| set_intersection2(X2,X0) != X1 )
& ( set_intersection2(X2,X0) = X1
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X2)
| ~ in(X3,X1) )
& ( ( in(X3,X0)
& in(X3,X2) )
| in(X3,X1) ) ) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X1,X0,X2] :
( ! [X3] :
( in(X3,X1)
<=> ( in(X3,X0)
& in(X3,X2) ) )
<=> set_intersection2(X2,X0) = X1 ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X2,X0] :
( ! [X3] :
( ( in(X3,X1)
& in(X3,X0) )
<=> in(X3,X2) )
<=> set_intersection2(X0,X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f425,plain,
( in(sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),set_intersection2(sK3,sK5))
| in(sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK3) ),
inference(resolution,[],[f415,f116]) ).
fof(f116,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),cartesian_product2(X2,X3))
| in(X1,X3) ),
inference(superposition,[],[f81,f67]) ).
fof(f67,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(rectify,[],[f17]) ).
fof(f17,plain,
! [X1,X0] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f81,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X2,X0),singleton(X2)),cartesian_product2(X1,X3))
| in(X0,X3) ),
inference(definition_unfolding,[],[f73,f65]) ).
fof(f65,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f73,plain,
! [X2,X3,X0,X1] :
( in(X0,X3)
| ~ in(ordered_pair(X2,X0),cartesian_product2(X1,X3)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X2,X0),cartesian_product2(X1,X3))
| ~ in(X0,X3)
| ~ in(X2,X1) )
& ( ( in(X0,X3)
& in(X2,X1) )
| ~ in(ordered_pair(X2,X0),cartesian_product2(X1,X3)) ) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X3,X2,X0,X1] :
( ( in(ordered_pair(X0,X3),cartesian_product2(X2,X1))
| ~ in(X3,X1)
| ~ in(X0,X2) )
& ( ( in(X3,X1)
& in(X0,X2) )
| ~ in(ordered_pair(X0,X3),cartesian_product2(X2,X1)) ) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X3,X2,X0,X1] :
( ( in(ordered_pair(X0,X3),cartesian_product2(X2,X1))
| ~ in(X3,X1)
| ~ in(X0,X2) )
& ( ( in(X3,X1)
& in(X0,X2) )
| ~ in(ordered_pair(X0,X3),cartesian_product2(X2,X1)) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X3,X2,X0,X1] :
( in(ordered_pair(X0,X3),cartesian_product2(X2,X1))
<=> ( in(X3,X1)
& in(X0,X2) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X3,X2,X1] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
<=> ( in(X0,X2)
& in(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1) ).
fof(f415,plain,
( in(unordered_pair(singleton(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)))),unordered_pair(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))))),cartesian_product2(sK4,sK3))
| in(sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),set_intersection2(sK3,sK5)) ),
inference(resolution,[],[f411,f116]) ).
fof(f411,plain,
( in(unordered_pair(singleton(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)))),unordered_pair(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))))),cartesian_product2(sK4,set_intersection2(sK3,sK5)))
| in(unordered_pair(singleton(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)))),unordered_pair(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))))),cartesian_product2(sK4,sK3)) ),
inference(resolution,[],[f410,f86]) ).
fof(f410,plain,
( in(unordered_pair(singleton(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)))),unordered_pair(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))))),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)))
| in(unordered_pair(singleton(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)))),unordered_pair(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))))),cartesian_product2(sK4,set_intersection2(sK3,sK5))) ),
inference(resolution,[],[f408,f63]) ).
fof(f63,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f408,plain,
! [X0,X1] :
( ~ subset(cartesian_product2(sK4,set_intersection2(sK3,sK5)),cartesian_product2(X0,X1))
| in(unordered_pair(singleton(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)))),unordered_pair(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))))),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)))
| in(unordered_pair(singleton(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)))),unordered_pair(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))))),cartesian_product2(sK4,set_intersection2(sK3,sK5))) ),
inference(resolution,[],[f404,f68]) ).
fof(f68,plain,
! [X0,X1] : subset(set_intersection2(X0,X1),X0),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] : subset(set_intersection2(X0,X1),X0),
inference(rectify,[],[f19]) ).
fof(f19,plain,
! [X1,X0] : subset(set_intersection2(X1,X0),X1),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X0] : subset(set_intersection2(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_xboole_1) ).
fof(f404,plain,
! [X2,X3,X0,X1] :
( ~ subset(set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)),cartesian_product2(X0,X1))
| in(unordered_pair(singleton(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)))),unordered_pair(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))))),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)))
| ~ subset(cartesian_product2(sK4,set_intersection2(sK3,sK5)),cartesian_product2(X2,X3))
| in(unordered_pair(singleton(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)))),unordered_pair(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))))),cartesian_product2(sK4,set_intersection2(sK3,sK5))) ),
inference(extensionality_resolution,[],[f211,f403]) ).
fof(f403,plain,
cartesian_product2(sK4,set_intersection2(sK3,sK5)) != set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)),
inference(subsumption_resolution,[],[f402,f307]) ).
fof(f307,plain,
( in(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK5)
| cartesian_product2(sK4,set_intersection2(sK3,sK5)) != set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)) ),
inference(subsumption_resolution,[],[f304,f85]) ).
fof(f85,plain,
! [X2,X3,X1] :
( ~ in(X3,set_intersection2(X2,X1))
| in(X3,X1) ),
inference(equality_resolution,[],[f58]) ).
fof(f58,plain,
! [X2,X3,X0,X1] :
( in(X3,X1)
| ~ in(X3,X0)
| set_intersection2(X2,X1) != X0 ),
inference(cnf_transformation,[],[f35]) ).
fof(f304,plain,
( cartesian_product2(sK4,set_intersection2(sK3,sK5)) != set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))
| in(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),set_intersection2(sK3,sK5))
| in(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK5) ),
inference(resolution,[],[f278,f120]) ).
fof(f120,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),cartesian_product2(X2,X3))
| in(X0,X2) ),
inference(superposition,[],[f82,f67]) ).
fof(f82,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X2,X0),singleton(X2)),cartesian_product2(X1,X3))
| in(X2,X1) ),
inference(definition_unfolding,[],[f72,f65]) ).
fof(f72,plain,
! [X2,X3,X0,X1] :
( in(X2,X1)
| ~ in(ordered_pair(X2,X0),cartesian_product2(X1,X3)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f278,plain,
( in(unordered_pair(singleton(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))),unordered_pair(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))))),cartesian_product2(sK5,sK4))
| cartesian_product2(sK4,set_intersection2(sK3,sK5)) != set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))
| in(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),set_intersection2(sK3,sK5)) ),
inference(resolution,[],[f257,f120]) ).
fof(f257,plain,
( in(unordered_pair(singleton(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))),unordered_pair(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))))),cartesian_product2(set_intersection2(sK3,sK5),sK4))
| in(unordered_pair(singleton(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))),unordered_pair(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))))),cartesian_product2(sK5,sK4))
| cartesian_product2(sK4,set_intersection2(sK3,sK5)) != set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)) ),
inference(resolution,[],[f253,f85]) ).
fof(f253,plain,
( in(unordered_pair(singleton(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))),unordered_pair(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))))),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))
| in(unordered_pair(singleton(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))),unordered_pair(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))))),cartesian_product2(set_intersection2(sK3,sK5),sK4))
| cartesian_product2(sK4,set_intersection2(sK3,sK5)) != set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)) ),
inference(resolution,[],[f238,f63]) ).
fof(f238,plain,
! [X0,X1] :
( ~ subset(cartesian_product2(set_intersection2(sK3,sK5),sK4),cartesian_product2(X0,X1))
| cartesian_product2(sK4,set_intersection2(sK3,sK5)) != set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))
| in(unordered_pair(singleton(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))),unordered_pair(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))))),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))
| in(unordered_pair(singleton(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))),unordered_pair(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))))),cartesian_product2(set_intersection2(sK3,sK5),sK4)) ),
inference(resolution,[],[f232,f68]) ).
fof(f232,plain,
! [X6,X7,X4,X5] :
( ~ subset(set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)),cartesian_product2(X4,X5))
| cartesian_product2(sK4,set_intersection2(sK3,sK5)) != set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))
| ~ subset(cartesian_product2(set_intersection2(sK3,sK5),sK4),cartesian_product2(X6,X7))
| in(unordered_pair(singleton(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))),unordered_pair(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))))),cartesian_product2(set_intersection2(sK3,sK5),sK4))
| in(unordered_pair(singleton(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))),unordered_pair(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))))),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))) ),
inference(extensionality_resolution,[],[f211,f62]) ).
fof(f62,plain,
( set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)) != cartesian_product2(set_intersection2(sK3,sK5),sK4)
| cartesian_product2(sK4,set_intersection2(sK3,sK5)) != set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)) != cartesian_product2(set_intersection2(sK3,sK5),sK4)
| cartesian_product2(sK4,set_intersection2(sK3,sK5)) != set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f40,f41]) ).
fof(f41,plain,
( ? [X0,X1,X2] :
( cartesian_product2(set_intersection2(X0,X2),X1) != set_intersection2(cartesian_product2(X0,X1),cartesian_product2(X2,X1))
| cartesian_product2(X1,set_intersection2(X0,X2)) != set_intersection2(cartesian_product2(X1,X0),cartesian_product2(X1,X2)) )
=> ( set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)) != cartesian_product2(set_intersection2(sK3,sK5),sK4)
| cartesian_product2(sK4,set_intersection2(sK3,sK5)) != set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
? [X0,X1,X2] :
( cartesian_product2(set_intersection2(X0,X2),X1) != set_intersection2(cartesian_product2(X0,X1),cartesian_product2(X2,X1))
| cartesian_product2(X1,set_intersection2(X0,X2)) != set_intersection2(cartesian_product2(X1,X0),cartesian_product2(X1,X2)) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
? [X2,X1,X0] :
( set_intersection2(cartesian_product2(X2,X1),cartesian_product2(X0,X1)) != cartesian_product2(set_intersection2(X2,X0),X1)
| set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X1,X0)) != cartesian_product2(X1,set_intersection2(X2,X0)) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X1,X0,X2] :
( set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X1,X0)) = cartesian_product2(X1,set_intersection2(X2,X0))
& set_intersection2(cartesian_product2(X2,X1),cartesian_product2(X0,X1)) = cartesian_product2(set_intersection2(X2,X0),X1) ),
inference(rectify,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X1,X2,X0] :
( cartesian_product2(set_intersection2(X0,X1),X2) = set_intersection2(cartesian_product2(X0,X2),cartesian_product2(X1,X2))
& cartesian_product2(X2,set_intersection2(X0,X1)) = set_intersection2(cartesian_product2(X2,X0),cartesian_product2(X2,X1)) ),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X1,X2,X0] :
( cartesian_product2(set_intersection2(X0,X1),X2) = set_intersection2(cartesian_product2(X0,X2),cartesian_product2(X1,X2))
& cartesian_product2(X2,set_intersection2(X0,X1)) = set_intersection2(cartesian_product2(X2,X0),cartesian_product2(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t122_zfmisc_1) ).
fof(f402,plain,
( cartesian_product2(sK4,set_intersection2(sK3,sK5)) != set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))
| ~ in(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK5) ),
inference(subsumption_resolution,[],[f398,f303]) ).
fof(f303,plain,
( in(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK3)
| cartesian_product2(sK4,set_intersection2(sK3,sK5)) != set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)) ),
inference(subsumption_resolution,[],[f300,f86]) ).
fof(f300,plain,
( in(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),set_intersection2(sK3,sK5))
| cartesian_product2(sK4,set_intersection2(sK3,sK5)) != set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))
| in(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK3) ),
inference(resolution,[],[f270,f120]) ).
fof(f270,plain,
( in(unordered_pair(singleton(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))),unordered_pair(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))))),cartesian_product2(sK3,sK4))
| cartesian_product2(sK4,set_intersection2(sK3,sK5)) != set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))
| in(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),set_intersection2(sK3,sK5)) ),
inference(resolution,[],[f256,f120]) ).
fof(f256,plain,
( in(unordered_pair(singleton(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))),unordered_pair(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))))),cartesian_product2(set_intersection2(sK3,sK5),sK4))
| cartesian_product2(sK4,set_intersection2(sK3,sK5)) != set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))
| in(unordered_pair(singleton(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))),unordered_pair(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))))),cartesian_product2(sK3,sK4)) ),
inference(resolution,[],[f253,f86]) ).
fof(f398,plain,
( ~ in(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK3)
| ~ in(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK5)
| cartesian_product2(sK4,set_intersection2(sK3,sK5)) != set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)) ),
inference(resolution,[],[f394,f84]) ).
fof(f84,plain,
! [X2,X3,X1] :
( in(X3,set_intersection2(X2,X1))
| ~ in(X3,X2)
| ~ in(X3,X1) ),
inference(equality_resolution,[],[f59]) ).
fof(f59,plain,
! [X2,X3,X0,X1] :
( in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2)
| set_intersection2(X2,X1) != X0 ),
inference(cnf_transformation,[],[f35]) ).
fof(f394,plain,
( ~ in(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),set_intersection2(sK3,sK5))
| cartesian_product2(sK4,set_intersection2(sK3,sK5)) != set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)) ),
inference(subsumption_resolution,[],[f393,f275]) ).
fof(f275,plain,
( in(sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK4)
| cartesian_product2(sK4,set_intersection2(sK3,sK5)) != set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)) ),
inference(subsumption_resolution,[],[f271,f116]) ).
fof(f271,plain,
( in(sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK4)
| cartesian_product2(sK4,set_intersection2(sK3,sK5)) != set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))
| in(unordered_pair(singleton(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))),unordered_pair(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))))),cartesian_product2(sK3,sK4)) ),
inference(resolution,[],[f256,f116]) ).
fof(f393,plain,
( ~ in(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),set_intersection2(sK3,sK5))
| cartesian_product2(sK4,set_intersection2(sK3,sK5)) != set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))
| ~ in(sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK4) ),
inference(subsumption_resolution,[],[f390,f86]) ).
fof(f390,plain,
( ~ in(sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK4)
| cartesian_product2(sK4,set_intersection2(sK3,sK5)) != set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))
| ~ in(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK3)
| ~ in(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),set_intersection2(sK3,sK5)) ),
inference(resolution,[],[f379,f127]) ).
fof(f127,plain,
! [X2,X3,X0,X1] :
( in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) ),
inference(superposition,[],[f80,f67]) ).
fof(f80,plain,
! [X2,X3,X0,X1] :
( in(unordered_pair(unordered_pair(X2,X0),singleton(X2)),cartesian_product2(X1,X3))
| ~ in(X0,X3)
| ~ in(X2,X1) ),
inference(definition_unfolding,[],[f74,f65]) ).
fof(f74,plain,
! [X2,X3,X0,X1] :
( in(ordered_pair(X2,X0),cartesian_product2(X1,X3))
| ~ in(X0,X3)
| ~ in(X2,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f379,plain,
( ~ in(unordered_pair(singleton(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))),unordered_pair(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))))),cartesian_product2(sK3,sK4))
| cartesian_product2(sK4,set_intersection2(sK3,sK5)) != set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))
| ~ in(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),set_intersection2(sK3,sK5)) ),
inference(subsumption_resolution,[],[f378,f85]) ).
fof(f378,plain,
( cartesian_product2(sK4,set_intersection2(sK3,sK5)) != set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))
| ~ in(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),set_intersection2(sK3,sK5))
| ~ in(unordered_pair(singleton(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))),unordered_pair(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))))),cartesian_product2(sK3,sK4))
| ~ in(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK5) ),
inference(subsumption_resolution,[],[f374,f116]) ).
fof(f374,plain,
( ~ in(sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK4)
| ~ in(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),set_intersection2(sK3,sK5))
| ~ in(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK5)
| cartesian_product2(sK4,set_intersection2(sK3,sK5)) != set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))
| ~ in(unordered_pair(singleton(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))),unordered_pair(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))))),cartesian_product2(sK3,sK4)) ),
inference(resolution,[],[f370,f127]) ).
fof(f370,plain,
( ~ in(unordered_pair(singleton(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))),unordered_pair(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))))),cartesian_product2(sK5,sK4))
| ~ in(unordered_pair(singleton(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))),unordered_pair(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))))),cartesian_product2(sK3,sK4))
| cartesian_product2(sK4,set_intersection2(sK3,sK5)) != set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))
| ~ in(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),set_intersection2(sK3,sK5)) ),
inference(subsumption_resolution,[],[f363,f116]) ).
fof(f363,plain,
( ~ in(unordered_pair(singleton(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))),unordered_pair(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))))),cartesian_product2(sK3,sK4))
| ~ in(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),set_intersection2(sK3,sK5))
| ~ in(sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK4)
| cartesian_product2(sK4,set_intersection2(sK3,sK5)) != set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))
| ~ in(unordered_pair(singleton(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))),unordered_pair(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))))),cartesian_product2(sK5,sK4)) ),
inference(resolution,[],[f127,f222]) ).
fof(f222,plain,
( ~ in(unordered_pair(singleton(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))),unordered_pair(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))))),cartesian_product2(set_intersection2(sK3,sK5),sK4))
| ~ in(unordered_pair(singleton(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))),unordered_pair(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))))),cartesian_product2(sK5,sK4))
| ~ in(unordered_pair(singleton(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))),unordered_pair(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))))),cartesian_product2(sK3,sK4))
| cartesian_product2(sK4,set_intersection2(sK3,sK5)) != set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)) ),
inference(resolution,[],[f221,f84]) ).
fof(f221,plain,
( ~ in(unordered_pair(singleton(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))),unordered_pair(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))))),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))
| cartesian_product2(sK4,set_intersection2(sK3,sK5)) != set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))
| ~ in(unordered_pair(singleton(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))),unordered_pair(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))))),cartesian_product2(set_intersection2(sK3,sK5),sK4)) ),
inference(resolution,[],[f218,f63]) ).
fof(f218,plain,
! [X0,X1] :
( ~ subset(cartesian_product2(set_intersection2(sK3,sK5),sK4),cartesian_product2(X0,X1))
| cartesian_product2(sK4,set_intersection2(sK3,sK5)) != set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))
| ~ in(unordered_pair(singleton(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))),unordered_pair(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))))),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))
| ~ in(unordered_pair(singleton(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))),unordered_pair(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))))),cartesian_product2(set_intersection2(sK3,sK5),sK4)) ),
inference(resolution,[],[f213,f68]) ).
fof(f213,plain,
! [X6,X7,X4,X5] :
( ~ subset(set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)),cartesian_product2(X6,X7))
| ~ in(unordered_pair(singleton(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))),unordered_pair(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))))),cartesian_product2(set_intersection2(sK3,sK5),sK4))
| ~ in(unordered_pair(singleton(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))),unordered_pair(sK2(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))),sK1(cartesian_product2(set_intersection2(sK3,sK5),sK4),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4))))),set_intersection2(cartesian_product2(sK3,sK4),cartesian_product2(sK5,sK4)))
| cartesian_product2(sK4,set_intersection2(sK3,sK5)) != set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))
| ~ subset(cartesian_product2(set_intersection2(sK3,sK5),sK4),cartesian_product2(X4,X5)) ),
inference(extensionality_resolution,[],[f209,f62]) ).
fof(f209,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ in(unordered_pair(singleton(sK2(X4,X5)),unordered_pair(sK2(X4,X5),sK1(X4,X5))),X4)
| X4 = X5
| ~ in(unordered_pair(singleton(sK2(X4,X5)),unordered_pair(sK2(X4,X5),sK1(X4,X5))),X5)
| ~ subset(X4,cartesian_product2(X2,X0))
| ~ subset(X5,cartesian_product2(X3,X1)) ),
inference(forward_demodulation,[],[f208,f67]) ).
fof(f208,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ in(unordered_pair(unordered_pair(sK2(X4,X5),sK1(X4,X5)),singleton(sK2(X4,X5))),X5)
| ~ subset(X4,cartesian_product2(X2,X0))
| X4 = X5
| ~ subset(X5,cartesian_product2(X3,X1))
| ~ in(unordered_pair(singleton(sK2(X4,X5)),unordered_pair(sK2(X4,X5),sK1(X4,X5))),X4) ),
inference(forward_demodulation,[],[f77,f67]) ).
fof(f77,plain,
! [X2,X3,X0,X1,X4,X5] :
( X4 = X5
| ~ subset(X4,cartesian_product2(X2,X0))
| ~ in(unordered_pair(unordered_pair(sK2(X4,X5),sK1(X4,X5)),singleton(sK2(X4,X5))),X4)
| ~ subset(X5,cartesian_product2(X3,X1))
| ~ in(unordered_pair(unordered_pair(sK2(X4,X5),sK1(X4,X5)),singleton(sK2(X4,X5))),X5) ),
inference(definition_unfolding,[],[f61,f65,f65]) ).
fof(f61,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ in(ordered_pair(sK2(X4,X5),sK1(X4,X5)),X4)
| ~ in(ordered_pair(sK2(X4,X5),sK1(X4,X5)),X5)
| ~ subset(X4,cartesian_product2(X2,X0))
| ~ subset(X5,cartesian_product2(X3,X1))
| X4 = X5 ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( ~ in(ordered_pair(sK2(X4,X5),sK1(X4,X5)),X4)
| ~ in(ordered_pair(sK2(X4,X5),sK1(X4,X5)),X5) )
& ( in(ordered_pair(sK2(X4,X5),sK1(X4,X5)),X4)
| in(ordered_pair(sK2(X4,X5),sK1(X4,X5)),X5) ) )
| ~ subset(X4,cartesian_product2(X2,X0))
| ~ subset(X5,cartesian_product2(X3,X1))
| X4 = X5 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f37,f38]) ).
fof(f38,plain,
! [X4,X5] :
( ? [X6,X7] :
( ( ~ in(ordered_pair(X7,X6),X4)
| ~ in(ordered_pair(X7,X6),X5) )
& ( in(ordered_pair(X7,X6),X4)
| in(ordered_pair(X7,X6),X5) ) )
=> ( ( ~ in(ordered_pair(sK2(X4,X5),sK1(X4,X5)),X4)
| ~ in(ordered_pair(sK2(X4,X5),sK1(X4,X5)),X5) )
& ( in(ordered_pair(sK2(X4,X5),sK1(X4,X5)),X4)
| in(ordered_pair(sK2(X4,X5),sK1(X4,X5)),X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6,X7] :
( ( ~ in(ordered_pair(X7,X6),X4)
| ~ in(ordered_pair(X7,X6),X5) )
& ( in(ordered_pair(X7,X6),X4)
| in(ordered_pair(X7,X6),X5) ) )
| ~ subset(X4,cartesian_product2(X2,X0))
| ~ subset(X5,cartesian_product2(X3,X1))
| X4 = X5 ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
! [X2,X0,X5,X3,X4,X1] :
( ? [X7,X6] :
( ( ~ in(ordered_pair(X6,X7),X4)
| ~ in(ordered_pair(X6,X7),X1) )
& ( in(ordered_pair(X6,X7),X4)
| in(ordered_pair(X6,X7),X1) ) )
| ~ subset(X4,cartesian_product2(X5,X2))
| ~ subset(X1,cartesian_product2(X3,X0))
| X1 = X4 ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X2,X0,X5,X3,X4,X1] :
( ? [X7,X6] :
( in(ordered_pair(X6,X7),X1)
<~> in(ordered_pair(X6,X7),X4) )
| ~ subset(X4,cartesian_product2(X5,X2))
| ~ subset(X1,cartesian_product2(X3,X0))
| X1 = X4 ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X3,X4,X5,X2,X1,X0] :
( X1 = X4
| ? [X7,X6] :
( in(ordered_pair(X6,X7),X1)
<~> in(ordered_pair(X6,X7),X4) )
| ~ subset(X4,cartesian_product2(X5,X2))
| ~ subset(X1,cartesian_product2(X3,X0)) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X3,X4,X5,X2,X1,X0] :
( ( ! [X6,X7] :
( in(ordered_pair(X6,X7),X1)
<=> in(ordered_pair(X6,X7),X4) )
& subset(X4,cartesian_product2(X5,X2))
& subset(X1,cartesian_product2(X3,X0)) )
=> X1 = X4 ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X2,X0,X5,X1,X3,X4] :
( ( ! [X6,X7] :
( in(ordered_pair(X6,X7),X0)
<=> in(ordered_pair(X6,X7),X3) )
& subset(X0,cartesian_product2(X1,X2))
& subset(X3,cartesian_product2(X4,X5)) )
=> X0 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t110_zfmisc_1) ).
fof(f211,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ subset(X5,cartesian_product2(X3,X1))
| ~ subset(X4,cartesian_product2(X2,X0))
| in(unordered_pair(singleton(sK2(X4,X5)),unordered_pair(sK2(X4,X5),sK1(X4,X5))),X4)
| in(unordered_pair(singleton(sK2(X4,X5)),unordered_pair(sK2(X4,X5),sK1(X4,X5))),X5)
| X4 = X5 ),
inference(forward_demodulation,[],[f210,f67]) ).
fof(f210,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ subset(X4,cartesian_product2(X2,X0))
| ~ subset(X5,cartesian_product2(X3,X1))
| X4 = X5
| in(unordered_pair(singleton(sK2(X4,X5)),unordered_pair(sK2(X4,X5),sK1(X4,X5))),X4)
| in(unordered_pair(unordered_pair(sK2(X4,X5),sK1(X4,X5)),singleton(sK2(X4,X5))),X5) ),
inference(forward_demodulation,[],[f78,f67]) ).
fof(f78,plain,
! [X2,X3,X0,X1,X4,X5] :
( in(unordered_pair(unordered_pair(sK2(X4,X5),sK1(X4,X5)),singleton(sK2(X4,X5))),X4)
| X4 = X5
| ~ subset(X5,cartesian_product2(X3,X1))
| in(unordered_pair(unordered_pair(sK2(X4,X5),sK1(X4,X5)),singleton(sK2(X4,X5))),X5)
| ~ subset(X4,cartesian_product2(X2,X0)) ),
inference(definition_unfolding,[],[f60,f65,f65]) ).
fof(f60,plain,
! [X2,X3,X0,X1,X4,X5] :
( in(ordered_pair(sK2(X4,X5),sK1(X4,X5)),X4)
| in(ordered_pair(sK2(X4,X5),sK1(X4,X5)),X5)
| ~ subset(X4,cartesian_product2(X2,X0))
| ~ subset(X5,cartesian_product2(X3,X1))
| X4 = X5 ),
inference(cnf_transformation,[],[f39]) ).
fof(f544,plain,
~ in(sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK3),
inference(subsumption_resolution,[],[f543,f449]) ).
fof(f449,plain,
in(sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK5),
inference(subsumption_resolution,[],[f447,f85]) ).
fof(f447,plain,
( in(sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK5)
| in(sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),set_intersection2(sK3,sK5)) ),
inference(resolution,[],[f439,f116]) ).
fof(f439,plain,
( in(unordered_pair(singleton(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)))),unordered_pair(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))))),cartesian_product2(sK4,sK5))
| in(sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),set_intersection2(sK3,sK5)) ),
inference(resolution,[],[f412,f116]) ).
fof(f412,plain,
( in(unordered_pair(singleton(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)))),unordered_pair(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))))),cartesian_product2(sK4,set_intersection2(sK3,sK5)))
| in(unordered_pair(singleton(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)))),unordered_pair(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))))),cartesian_product2(sK4,sK5)) ),
inference(resolution,[],[f410,f85]) ).
fof(f543,plain,
( ~ in(sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK5)
| ~ in(sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK3) ),
inference(resolution,[],[f534,f84]) ).
fof(f534,plain,
~ in(sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),set_intersection2(sK3,sK5)),
inference(subsumption_resolution,[],[f533,f427]) ).
fof(f533,plain,
( ~ in(sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK3)
| ~ in(sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),set_intersection2(sK3,sK5)) ),
inference(subsumption_resolution,[],[f532,f418]) ).
fof(f418,plain,
in(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK4),
inference(subsumption_resolution,[],[f414,f120]) ).
fof(f414,plain,
( in(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK4)
| in(unordered_pair(singleton(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)))),unordered_pair(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))))),cartesian_product2(sK4,sK3)) ),
inference(resolution,[],[f411,f120]) ).
fof(f532,plain,
( ~ in(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK4)
| ~ in(sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK3)
| ~ in(sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),set_intersection2(sK3,sK5)) ),
inference(resolution,[],[f523,f127]) ).
fof(f523,plain,
( ~ in(unordered_pair(singleton(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)))),unordered_pair(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))))),cartesian_product2(sK4,sK3))
| ~ in(sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),set_intersection2(sK3,sK5)) ),
inference(subsumption_resolution,[],[f522,f449]) ).
fof(f522,plain,
( ~ in(sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),set_intersection2(sK3,sK5))
| ~ in(sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK5)
| ~ in(unordered_pair(singleton(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)))),unordered_pair(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))))),cartesian_product2(sK4,sK3)) ),
inference(subsumption_resolution,[],[f520,f418]) ).
fof(f520,plain,
( ~ in(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK4)
| ~ in(sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK5)
| ~ in(sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),set_intersection2(sK3,sK5))
| ~ in(unordered_pair(singleton(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)))),unordered_pair(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))))),cartesian_product2(sK4,sK3)) ),
inference(resolution,[],[f475,f127]) ).
fof(f475,plain,
( ~ in(unordered_pair(singleton(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)))),unordered_pair(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))))),cartesian_product2(sK4,sK5))
| ~ in(sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),set_intersection2(sK3,sK5))
| ~ in(unordered_pair(singleton(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)))),unordered_pair(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))))),cartesian_product2(sK4,sK3)) ),
inference(subsumption_resolution,[],[f474,f418]) ).
fof(f474,plain,
( ~ in(unordered_pair(singleton(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)))),unordered_pair(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))))),cartesian_product2(sK4,sK5))
| ~ in(unordered_pair(singleton(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)))),unordered_pair(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))))),cartesian_product2(sK4,sK3))
| ~ in(sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),set_intersection2(sK3,sK5))
| ~ in(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK4) ),
inference(resolution,[],[f451,f127]) ).
fof(f451,plain,
( ~ in(unordered_pair(singleton(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)))),unordered_pair(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))))),cartesian_product2(sK4,set_intersection2(sK3,sK5)))
| ~ in(unordered_pair(singleton(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)))),unordered_pair(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))))),cartesian_product2(sK4,sK3))
| ~ in(unordered_pair(singleton(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)))),unordered_pair(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))))),cartesian_product2(sK4,sK5)) ),
inference(resolution,[],[f436,f84]) ).
fof(f436,plain,
( ~ in(unordered_pair(singleton(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)))),unordered_pair(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))))),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)))
| ~ in(unordered_pair(singleton(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)))),unordered_pair(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))))),cartesian_product2(sK4,set_intersection2(sK3,sK5))) ),
inference(resolution,[],[f421,f63]) ).
fof(f421,plain,
! [X0,X1] :
( ~ subset(cartesian_product2(sK4,set_intersection2(sK3,sK5)),cartesian_product2(X0,X1))
| ~ in(unordered_pair(singleton(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)))),unordered_pair(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))))),cartesian_product2(sK4,set_intersection2(sK3,sK5)))
| ~ in(unordered_pair(singleton(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)))),unordered_pair(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))))),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))) ),
inference(resolution,[],[f406,f68]) ).
fof(f406,plain,
! [X10,X11,X8,X9] :
( ~ subset(set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)),cartesian_product2(X10,X11))
| ~ subset(cartesian_product2(sK4,set_intersection2(sK3,sK5)),cartesian_product2(X8,X9))
| ~ in(unordered_pair(singleton(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)))),unordered_pair(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))))),cartesian_product2(sK4,set_intersection2(sK3,sK5)))
| ~ in(unordered_pair(singleton(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5)))),unordered_pair(sK2(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))),sK1(cartesian_product2(sK4,set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))))),set_intersection2(cartesian_product2(sK4,sK3),cartesian_product2(sK4,sK5))) ),
inference(extensionality_resolution,[],[f209,f403]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET969+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n014.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 14:33:48 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.51 % (24225)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.51 % (24217)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.51 % (24209)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [2]
% 0.19/0.53 % (24204)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (24216)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (24207)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (24208)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.53 % (24213)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (24214)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (24212)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (24204)Refutation not found, incomplete strategy% (24204)------------------------------
% 0.19/0.54 % (24204)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (24211)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54 TRYING [3]
% 0.19/0.54 % (24226)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.54 % (24229)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.54 % (24204)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (24204)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (24204)Memory used [KB]: 5500
% 0.19/0.54 % (24204)Time elapsed: 0.133 s
% 0.19/0.54 % (24204)Instructions burned: 6 (million)
% 0.19/0.54 % (24204)------------------------------
% 0.19/0.54 % (24204)------------------------------
% 0.19/0.54 % (24230)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.54 % (24228)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.55 % (24205)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.55 % (24211)Instruction limit reached!
% 0.19/0.55 % (24211)------------------------------
% 0.19/0.55 % (24211)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (24211)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (24211)Termination reason: Unknown
% 0.19/0.55 % (24211)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (24211)Memory used [KB]: 895
% 0.19/0.55 % (24211)Time elapsed: 0.003 s
% 0.19/0.55 % (24211)Instructions burned: 3 (million)
% 0.19/0.55 % (24211)------------------------------
% 0.19/0.55 % (24211)------------------------------
% 0.19/0.55 % (24215)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.55 % (24206)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55 % (24222)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.56 % (24223)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.56 % (24221)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.56 % (24231)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.56 % (24232)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.56 % (24220)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.56 % (24218)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.56 % (24209)Instruction limit reached!
% 0.19/0.56 % (24209)------------------------------
% 0.19/0.56 % (24209)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (24209)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (24209)Termination reason: Unknown
% 0.19/0.56 % (24209)Termination phase: Finite model building SAT solving
% 0.19/0.56
% 0.19/0.56 % (24209)Memory used [KB]: 7547
% 0.19/0.56 % (24209)Time elapsed: 0.104 s
% 0.19/0.56 % (24209)Instructions burned: 53 (million)
% 0.19/0.56 % (24209)------------------------------
% 0.19/0.56 % (24209)------------------------------
% 0.19/0.57 % (24224)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.57 % (24219)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.58 % (24203)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.58 TRYING [1]
% 0.19/0.58 TRYING [2]
% 0.19/0.58 TRYING [1]
% 0.19/0.58 TRYING [2]
% 0.19/0.59 % (24227)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.59 TRYING [3]
% 0.19/0.60 % (24210)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.88/0.60 % (24217)Instruction limit reached!
% 1.88/0.60 % (24217)------------------------------
% 1.88/0.60 % (24217)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.60 % (24217)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.88/0.60 % (24217)Termination reason: Unknown
% 1.88/0.60 % (24217)Termination phase: Saturation
% 1.88/0.60
% 1.88/0.60 % (24217)Memory used [KB]: 6524
% 1.88/0.60 % (24217)Time elapsed: 0.059 s
% 1.88/0.60 % (24217)Instructions burned: 68 (million)
% 1.88/0.60 % (24217)------------------------------
% 1.88/0.60 % (24217)------------------------------
% 1.88/0.60 % (24225)First to succeed.
% 1.88/0.60 % (24210)Instruction limit reached!
% 1.88/0.60 % (24210)------------------------------
% 1.88/0.60 % (24210)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.60 % (24210)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.88/0.60 % (24210)Termination reason: Unknown
% 1.88/0.60 % (24210)Termination phase: Saturation
% 1.88/0.60
% 1.88/0.60 % (24210)Memory used [KB]: 5500
% 1.88/0.60 % (24210)Time elapsed: 0.191 s
% 1.88/0.60 % (24210)Instructions burned: 9 (million)
% 1.88/0.60 % (24210)------------------------------
% 1.88/0.60 % (24210)------------------------------
% 1.88/0.61 TRYING [3]
% 1.88/0.61 % (24225)Refutation found. Thanks to Tanya!
% 1.88/0.61 % SZS status Theorem for theBenchmark
% 1.88/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.88/0.61 % (24225)------------------------------
% 1.88/0.61 % (24225)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.61 % (24225)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.88/0.61 % (24225)Termination reason: Refutation
% 1.88/0.61
% 1.88/0.61 % (24225)Memory used [KB]: 1663
% 1.88/0.61 % (24225)Time elapsed: 0.154 s
% 1.88/0.61 % (24225)Instructions burned: 72 (million)
% 1.88/0.61 % (24225)------------------------------
% 1.88/0.61 % (24225)------------------------------
% 1.88/0.61 % (24202)Success in time 0.255 s
%------------------------------------------------------------------------------