TSTP Solution File: SET895+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET895+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 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 : n020.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 18:26:02 EDT 2022
% Result : Theorem 19.77s 2.88s
% Output : Refutation 19.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 62
% Number of leaves : 15
% Syntax : Number of formulae : 146 ( 15 unt; 0 def)
% Number of atoms : 591 ( 342 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 693 ( 248 ~; 332 |; 89 &)
% ( 14 <=>; 9 =>; 0 <=; 1 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 3 con; 0-3 aty)
% Number of variables : 299 ( 260 !; 39 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8221,plain,
$false,
inference(subsumption_resolution,[],[f8220,f96]) ).
fof(f96,plain,
! [X3] : in(X3,singleton(X3)),
inference(equality_resolution,[],[f95]) ).
fof(f95,plain,
! [X3,X1] :
( in(X3,X1)
| singleton(X3) != X1 ),
inference(equality_resolution,[],[f62]) ).
fof(f62,plain,
! [X3,X0,X1] :
( in(X3,X1)
| X0 != X3
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ( ( ~ in(sK6(X0,X1),X1)
| sK6(X0,X1) != X0 )
& ( in(sK6(X0,X1),X1)
| sK6(X0,X1) = X0 ) ) )
& ( ! [X3] :
( ( X0 = X3
| ~ in(X3,X1) )
& ( in(X3,X1)
| X0 != X3 ) )
| singleton(X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f37,f38]) ).
fof(f38,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ in(X2,X1)
| X0 != X2 )
& ( in(X2,X1)
| X0 = X2 ) )
=> ( ( ~ in(sK6(X0,X1),X1)
| sK6(X0,X1) != X0 )
& ( in(sK6(X0,X1),X1)
| sK6(X0,X1) = X0 ) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ? [X2] :
( ( ~ in(X2,X1)
| X0 != X2 )
& ( in(X2,X1)
| X0 = X2 ) ) )
& ( ! [X3] :
( ( X0 = X3
| ~ in(X3,X1) )
& ( in(X3,X1)
| X0 != X3 ) )
| singleton(X0) != X1 ) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
! [X1,X0] :
( ( singleton(X1) = X0
| ? [X2] :
( ( ~ in(X2,X0)
| X1 != X2 )
& ( in(X2,X0)
| X1 = X2 ) ) )
& ( ! [X2] :
( ( X1 = X2
| ~ in(X2,X0) )
& ( in(X2,X0)
| X1 != X2 ) )
| singleton(X1) != X0 ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X1,X0] :
( singleton(X1) = X0
<=> ! [X2] :
( X1 = X2
<=> in(X2,X0) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( singleton(X0) = X1
<=> ! [X2] :
( X0 = X2
<=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
fof(f8220,plain,
~ in(sK2,singleton(sK2)),
inference(subsumption_resolution,[],[f8219,f99]) ).
fof(f99,plain,
! [X2,X3] : in(X3,unordered_pair(X3,X2)),
inference(equality_resolution,[],[f98]) ).
fof(f98,plain,
! [X2,X3,X1] :
( in(X3,X1)
| unordered_pair(X3,X2) != X1 ),
inference(equality_resolution,[],[f72]) ).
fof(f72,plain,
! [X2,X3,X0,X1] :
( in(X3,X1)
| X0 != X3
| unordered_pair(X0,X2) != X1 ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( X0 = X3
| X2 = X3
| ~ in(X3,X1) )
& ( in(X3,X1)
| ( X0 != X3
& X2 != X3 ) ) )
| unordered_pair(X0,X2) != X1 )
& ( unordered_pair(X0,X2) = X1
| ( ( ~ in(sK7(X0,X1,X2),X1)
| ( sK7(X0,X1,X2) != X0
& sK7(X0,X1,X2) != X2 ) )
& ( in(sK7(X0,X1,X2),X1)
| sK7(X0,X1,X2) = X0
| sK7(X0,X1,X2) = X2 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f43,f44]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ? [X4] :
( ( ~ in(X4,X1)
| ( X0 != X4
& X2 != X4 ) )
& ( in(X4,X1)
| X0 = X4
| X2 = X4 ) )
=> ( ( ~ in(sK7(X0,X1,X2),X1)
| ( sK7(X0,X1,X2) != X0
& sK7(X0,X1,X2) != X2 ) )
& ( in(sK7(X0,X1,X2),X1)
| sK7(X0,X1,X2) = X0
| sK7(X0,X1,X2) = X2 ) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( X0 = X3
| X2 = X3
| ~ in(X3,X1) )
& ( in(X3,X1)
| ( X0 != X3
& X2 != X3 ) ) )
| unordered_pair(X0,X2) != X1 )
& ( unordered_pair(X0,X2) = X1
| ? [X4] :
( ( ~ in(X4,X1)
| ( X0 != X4
& X2 != X4 ) )
& ( in(X4,X1)
| X0 = X4
| X2 = X4 ) ) ) ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
! [X0,X2,X1] :
( ( ! [X3] :
( ( X0 = X3
| X1 = X3
| ~ in(X3,X2) )
& ( in(X3,X2)
| ( X0 != X3
& X1 != X3 ) ) )
| unordered_pair(X0,X1) != X2 )
& ( unordered_pair(X0,X1) = X2
| ? [X3] :
( ( ~ in(X3,X2)
| ( X0 != X3
& X1 != X3 ) )
& ( in(X3,X2)
| X0 = X3
| X1 = X3 ) ) ) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
! [X0,X2,X1] :
( ( ! [X3] :
( ( X0 = X3
| X1 = X3
| ~ in(X3,X2) )
& ( in(X3,X2)
| ( X0 != X3
& X1 != X3 ) ) )
| unordered_pair(X0,X1) != X2 )
& ( unordered_pair(X0,X1) = X2
| ? [X3] :
( ( ~ in(X3,X2)
| ( X0 != X3
& X1 != X3 ) )
& ( in(X3,X2)
| X0 = X3
| X1 = X3 ) ) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X2,X1] :
( ! [X3] :
( ( X0 = X3
| X1 = X3 )
<=> in(X3,X2) )
<=> unordered_pair(X0,X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_tarski) ).
fof(f8219,plain,
( ~ in(sK1,unordered_pair(sK1,sK3))
| ~ in(sK2,singleton(sK2)) ),
inference(resolution,[],[f8217,f223]) ).
fof(f223,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,[],[f89,f66]) ).
fof(f66,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] : 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/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f89,plain,
! [X2,X3,X0,X1] :
( in(unordered_pair(unordered_pair(X3,X0),singleton(X3)),cartesian_product2(X1,X2))
| ~ in(X0,X2)
| ~ in(X3,X1) ),
inference(definition_unfolding,[],[f74,f61]) ).
fof(f61,plain,
! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(unordered_pair(X1,X0),singleton(X1)),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(unordered_pair(X1,X0),singleton(X1)),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f74,plain,
! [X2,X3,X0,X1] :
( in(ordered_pair(X3,X0),cartesian_product2(X1,X2))
| ~ in(X0,X2)
| ~ in(X3,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2,X3] :
( ( ( in(X0,X2)
& in(X3,X1) )
| ~ in(ordered_pair(X3,X0),cartesian_product2(X1,X2)) )
& ( in(ordered_pair(X3,X0),cartesian_product2(X1,X2))
| ~ in(X0,X2)
| ~ in(X3,X1) ) ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
! [X2,X3,X0,X1] :
( ( ( in(X2,X0)
& in(X1,X3) )
| ~ in(ordered_pair(X1,X2),cartesian_product2(X3,X0)) )
& ( in(ordered_pair(X1,X2),cartesian_product2(X3,X0))
| ~ in(X2,X0)
| ~ in(X1,X3) ) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X2,X3,X0,X1] :
( ( ( in(X2,X0)
& in(X1,X3) )
| ~ in(ordered_pair(X1,X2),cartesian_product2(X3,X0)) )
& ( in(ordered_pair(X1,X2),cartesian_product2(X3,X0))
| ~ in(X2,X0)
| ~ in(X1,X3) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X2,X3,X0,X1] :
( ( in(X2,X0)
& in(X1,X3) )
<=> in(ordered_pair(X1,X2),cartesian_product2(X3,X0)) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X3,X0,X1,X2] :
( ( in(X0,X2)
& in(X1,X3) )
<=> in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l55_zfmisc_1) ).
fof(f8217,plain,
~ in(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))),
inference(forward_demodulation,[],[f8216,f8079]) ).
fof(f8079,plain,
sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),
inference(subsumption_resolution,[],[f8078,f96]) ).
fof(f8078,plain,
( sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK1))
| ~ in(sK2,singleton(sK2)) ),
inference(subsumption_resolution,[],[f8077,f101]) ).
fof(f101,plain,
! [X3,X0] : in(X3,unordered_pair(X0,X3)),
inference(equality_resolution,[],[f100]) ).
fof(f100,plain,
! [X3,X0,X1] :
( in(X3,X1)
| unordered_pair(X0,X3) != X1 ),
inference(equality_resolution,[],[f71]) ).
fof(f71,plain,
! [X2,X3,X0,X1] :
( in(X3,X1)
| X2 != X3
| unordered_pair(X0,X2) != X1 ),
inference(cnf_transformation,[],[f45]) ).
fof(f8077,plain,
( sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK1))
| ~ in(sK3,unordered_pair(sK1,sK3))
| ~ in(sK2,singleton(sK2)) ),
inference(resolution,[],[f7925,f223]) ).
fof(f7925,plain,
( ~ in(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)) ),
inference(subsumption_resolution,[],[f7810,f101]) ).
fof(f7810,plain,
( ~ in(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)))
| ~ in(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)) ),
inference(superposition,[],[f2000,f7720]) ).
fof(f7720,plain,
( sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)) ),
inference(duplicate_literal_removal,[],[f7646]) ).
fof(f7646,plain,
( sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK1))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK1))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)) ),
inference(superposition,[],[f2122,f7580]) ).
fof(f7580,plain,
( sK1 = sK8(singleton(sK2),unordered_pair(sK1,sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)) ),
inference(duplicate_literal_removal,[],[f7531]) ).
fof(f7531,plain,
( sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))
| sK1 = sK8(singleton(sK2),unordered_pair(sK1,sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK1))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK1))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)) ),
inference(superposition,[],[f2122,f6122]) ).
fof(f6122,plain,
( sK8(singleton(sK2),unordered_pair(sK1,sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)))) = sK3
| sK1 = sK8(singleton(sK2),unordered_pair(sK1,sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)) ),
inference(subsumption_resolution,[],[f6093,f97]) ).
fof(f97,plain,
! [X2,X3,X0] :
( ~ in(X3,unordered_pair(X0,X2))
| X2 = X3
| X0 = X3 ),
inference(equality_resolution,[],[f73]) ).
fof(f73,plain,
! [X2,X3,X0,X1] :
( X0 = X3
| X2 = X3
| ~ in(X3,X1)
| unordered_pair(X0,X2) != X1 ),
inference(cnf_transformation,[],[f45]) ).
fof(f6093,plain,
( sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK1))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))
| sK8(singleton(sK2),unordered_pair(sK1,sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)))) = sK3
| in(sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))),unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))))
| sK1 = sK8(singleton(sK2),unordered_pair(sK1,sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)))) ),
inference(resolution,[],[f2425,f2002]) ).
fof(f2002,plain,
( in(sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)))
| in(sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))),unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)))) ),
inference(extensionality_resolution,[],[f55,f1993]) ).
fof(f1993,plain,
unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)),
inference(subsumption_resolution,[],[f1992,f99]) ).
fof(f1992,plain,
( ~ in(sK2,unordered_pair(sK2,sK1))
| unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)) ),
inference(subsumption_resolution,[],[f1991,f96]) ).
fof(f1991,plain,
( ~ in(sK3,singleton(sK3))
| unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))
| ~ in(sK2,unordered_pair(sK2,sK1)) ),
inference(resolution,[],[f1902,f223]) ).
fof(f1902,plain,
( ~ in(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)) ),
inference(subsumption_resolution,[],[f1901,f121]) ).
fof(f121,plain,
( cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)) != unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)))
| unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)) ),
inference(forward_demodulation,[],[f120,f66]) ).
fof(f120,plain,
( cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)) != unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)))
| cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)) != unordered_pair(unordered_pair(unordered_pair(sK2,sK1),singleton(sK2)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) ),
inference(forward_demodulation,[],[f119,f66]) ).
fof(f119,plain,
( unordered_pair(unordered_pair(unordered_pair(sK2,sK1),singleton(sK2)),unordered_pair(unordered_pair(sK2,sK3),singleton(sK2))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))
| cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)) != unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))) ),
inference(forward_demodulation,[],[f118,f66]) ).
fof(f118,plain,
( unordered_pair(unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))
| unordered_pair(unordered_pair(unordered_pair(sK2,sK1),singleton(sK2)),unordered_pair(unordered_pair(sK2,sK3),singleton(sK2))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)) ),
inference(forward_demodulation,[],[f117,f66]) ).
fof(f117,plain,
( unordered_pair(unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)),unordered_pair(unordered_pair(sK2,sK3),singleton(sK2))) != cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))
| unordered_pair(unordered_pair(unordered_pair(sK2,sK1),singleton(sK2)),unordered_pair(unordered_pair(sK2,sK3),singleton(sK2))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)) ),
inference(forward_demodulation,[],[f110,f66]) ).
fof(f110,plain,
( unordered_pair(unordered_pair(unordered_pair(sK2,sK3),singleton(sK2)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))) != cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))
| unordered_pair(unordered_pair(unordered_pair(sK2,sK1),singleton(sK2)),unordered_pair(unordered_pair(sK2,sK3),singleton(sK2))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)) ),
inference(backward_demodulation,[],[f85,f66]) ).
fof(f85,plain,
( cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)) != unordered_pair(unordered_pair(unordered_pair(sK2,sK3),singleton(sK2)),unordered_pair(unordered_pair(sK1,sK3),singleton(sK1)))
| unordered_pair(unordered_pair(unordered_pair(sK2,sK1),singleton(sK2)),unordered_pair(unordered_pair(sK2,sK3),singleton(sK2))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)) ),
inference(definition_unfolding,[],[f57,f61,f61,f61,f61]) ).
fof(f57,plain,
( cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)) != unordered_pair(ordered_pair(sK2,sK1),ordered_pair(sK2,sK3))
| unordered_pair(ordered_pair(sK2,sK3),ordered_pair(sK1,sK3)) != cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
( cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)) != unordered_pair(ordered_pair(sK2,sK1),ordered_pair(sK2,sK3))
| unordered_pair(ordered_pair(sK2,sK3),ordered_pair(sK1,sK3)) != cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f22,f28]) ).
fof(f28,plain,
( ? [X0,X1,X2] :
( unordered_pair(ordered_pair(X1,X0),ordered_pair(X1,X2)) != cartesian_product2(singleton(X1),unordered_pair(X0,X2))
| cartesian_product2(unordered_pair(X1,X0),singleton(X2)) != unordered_pair(ordered_pair(X1,X2),ordered_pair(X0,X2)) )
=> ( cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)) != unordered_pair(ordered_pair(sK2,sK1),ordered_pair(sK2,sK3))
| unordered_pair(ordered_pair(sK2,sK3),ordered_pair(sK1,sK3)) != cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
? [X0,X1,X2] :
( unordered_pair(ordered_pair(X1,X0),ordered_pair(X1,X2)) != cartesian_product2(singleton(X1),unordered_pair(X0,X2))
| cartesian_product2(unordered_pair(X1,X0),singleton(X2)) != unordered_pair(ordered_pair(X1,X2),ordered_pair(X0,X2)) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X2,X1,X0] :
( cartesian_product2(unordered_pair(X1,X0),singleton(X2)) = unordered_pair(ordered_pair(X1,X2),ordered_pair(X0,X2))
& unordered_pair(ordered_pair(X1,X0),ordered_pair(X1,X2)) = cartesian_product2(singleton(X1),unordered_pair(X0,X2)) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X1,X0,X2] :
( cartesian_product2(unordered_pair(X0,X1),singleton(X2)) = unordered_pair(ordered_pair(X0,X2),ordered_pair(X1,X2))
& cartesian_product2(singleton(X0),unordered_pair(X1,X2)) = unordered_pair(ordered_pair(X0,X1),ordered_pair(X0,X2)) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X1,X0,X2] :
( cartesian_product2(unordered_pair(X0,X1),singleton(X2)) = unordered_pair(ordered_pair(X0,X2),ordered_pair(X1,X2))
& cartesian_product2(singleton(X0),unordered_pair(X1,X2)) = unordered_pair(ordered_pair(X0,X1),ordered_pair(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_zfmisc_1) ).
fof(f1901,plain,
( ~ in(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)) = unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)))
| unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)) ),
inference(subsumption_resolution,[],[f1888,f99]) ).
fof(f1888,plain,
( unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))
| ~ in(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))))
| ~ in(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)) = unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))) ),
inference(superposition,[],[f56,f1811]) ).
fof(f1811,plain,
( unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)) ),
inference(subsumption_resolution,[],[f1810,f101]) ).
fof(f1810,plain,
( unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))
| ~ in(sK1,unordered_pair(sK2,sK1))
| unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))) ),
inference(subsumption_resolution,[],[f1792,f96]) ).
fof(f1792,plain,
( unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))
| ~ in(sK3,singleton(sK3))
| unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| ~ in(sK1,unordered_pair(sK2,sK1)) ),
inference(resolution,[],[f223,f1537]) ).
fof(f1537,plain,
( ~ in(unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))
| unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))) ),
inference(subsumption_resolution,[],[f1528,f101]) ).
fof(f1528,plain,
( ~ in(unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)),unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))))
| unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))
| unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| ~ in(unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))) ),
inference(duplicate_literal_removal,[],[f1459]) ).
fof(f1459,plain,
( unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))
| unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))
| ~ in(unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)),unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))))
| ~ in(unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))) ),
inference(superposition,[],[f165,f1396]) ).
fof(f1396,plain,
( unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)) ),
inference(duplicate_literal_removal,[],[f1395]) ).
fof(f1395,plain,
( unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))
| unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))) ),
inference(forward_demodulation,[],[f1390,f66]) ).
fof(f1390,plain,
( sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK3,sK2))
| unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))
| unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))) ),
inference(duplicate_literal_removal,[],[f1338]) ).
fof(f1338,plain,
( unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))
| unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))
| unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK3,sK2)) ),
inference(superposition,[],[f350,f1314]) ).
fof(f1314,plain,
( sK2 = sK9(unordered_pair(sK2,sK1),singleton(sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))))
| unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))
| unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))) ),
inference(duplicate_literal_removal,[],[f1313]) ).
fof(f1313,plain,
( sK2 = sK9(unordered_pair(sK2,sK1),singleton(sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))))
| unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))
| unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))) ),
inference(forward_demodulation,[],[f1273,f66]) ).
fof(f1273,plain,
( sK2 = sK9(unordered_pair(sK2,sK1),singleton(sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))) = unordered_pair(singleton(sK1),unordered_pair(sK3,sK1))
| unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))
| unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))) ),
inference(duplicate_literal_removal,[],[f1238]) ).
fof(f1238,plain,
( unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))
| unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| sK2 = sK9(unordered_pair(sK2,sK1),singleton(sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))))
| unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))) = unordered_pair(singleton(sK1),unordered_pair(sK3,sK1))
| unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)) ),
inference(superposition,[],[f350,f1005]) ).
fof(f1005,plain,
( sK1 = sK9(unordered_pair(sK2,sK1),singleton(sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))))
| unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))
| unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| sK2 = sK9(unordered_pair(sK2,sK1),singleton(sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))))
| unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))) ),
inference(subsumption_resolution,[],[f1004,f97]) ).
fof(f1004,plain,
( unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))
| sK1 = sK9(unordered_pair(sK2,sK1),singleton(sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))))
| in(sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))),unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))))
| sK2 = sK9(unordered_pair(sK2,sK1),singleton(sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))))
| unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))) ),
inference(subsumption_resolution,[],[f987,f121]) ).
fof(f987,plain,
( sK2 = sK9(unordered_pair(sK2,sK1),singleton(sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))))
| unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)) = unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)))
| in(sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))),unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))))
| sK1 = sK9(unordered_pair(sK2,sK1),singleton(sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))))
| unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)) ),
inference(resolution,[],[f375,f55]) ).
fof(f375,plain,
! [X2,X3,X4] :
( ~ in(sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))),cartesian_product2(unordered_pair(X2,X3),X4))
| unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| sK9(unordered_pair(sK2,sK1),singleton(sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))) = X2
| unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))
| sK9(unordered_pair(sK2,sK1),singleton(sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))) = X3
| unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))) ),
inference(resolution,[],[f329,f97]) ).
fof(f329,plain,
! [X0,X1] :
( in(sK9(unordered_pair(sK2,sK1),singleton(sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))),X0)
| unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))
| ~ in(sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))),cartesian_product2(X0,X1))
| unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))) ),
inference(superposition,[],[f188,f300]) ).
fof(f300,plain,
( unordered_pair(singleton(sK9(unordered_pair(sK2,sK1),singleton(sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))))),unordered_pair(sK9(unordered_pair(sK2,sK1),singleton(sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))),sK8(unordered_pair(sK2,sK1),singleton(sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))))) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))
| unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))) ),
inference(resolution,[],[f291,f97]) ).
fof(f291,plain,
( in(sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))),unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))))
| unordered_pair(singleton(sK9(unordered_pair(sK2,sK1),singleton(sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))))),unordered_pair(sK9(unordered_pair(sK2,sK1),singleton(sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))),sK8(unordered_pair(sK2,sK1),singleton(sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))))) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)) ),
inference(resolution,[],[f282,f146]) ).
fof(f146,plain,
( in(sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))
| in(sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))),unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)))) ),
inference(extensionality_resolution,[],[f55,f121]) ).
fof(f282,plain,
! [X3,X0,X1] :
( ~ in(X3,cartesian_product2(X0,X1))
| unordered_pair(singleton(sK9(X0,X1,X3)),unordered_pair(sK9(X0,X1,X3),sK8(X0,X1,X3))) = X3 ),
inference(forward_demodulation,[],[f102,f66]) ).
fof(f102,plain,
! [X3,X0,X1] :
( unordered_pair(unordered_pair(sK9(X0,X1,X3),sK8(X0,X1,X3)),singleton(sK9(X0,X1,X3))) = X3
| ~ in(X3,cartesian_product2(X0,X1)) ),
inference(equality_resolution,[],[f90]) ).
fof(f90,plain,
! [X2,X3,X0,X1] :
( unordered_pair(unordered_pair(sK9(X0,X1,X3),sK8(X0,X1,X3)),singleton(sK9(X0,X1,X3))) = X3
| ~ in(X3,X2)
| cartesian_product2(X0,X1) != X2 ),
inference(definition_unfolding,[],[f84,f61]) ).
fof(f84,plain,
! [X2,X3,X0,X1] :
( ordered_pair(sK9(X0,X1,X3),sK8(X0,X1,X3)) = X3
| ~ in(X3,X2)
| cartesian_product2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( ( ordered_pair(sK9(X0,X1,X3),sK8(X0,X1,X3)) = X3
& in(sK9(X0,X1,X3),X0)
& in(sK8(X0,X1,X3),X1) )
| ~ in(X3,X2) )
& ( in(X3,X2)
| ! [X6,X7] :
( ordered_pair(X7,X6) != X3
| ~ in(X7,X0)
| ~ in(X6,X1) ) ) )
| cartesian_product2(X0,X1) != X2 )
& ( cartesian_product2(X0,X1) = X2
| ( ( ~ in(sK10(X0,X1,X2),X2)
| ! [X9,X10] :
( sK10(X0,X1,X2) != ordered_pair(X10,X9)
| ~ in(X10,X0)
| ~ in(X9,X1) ) )
& ( in(sK10(X0,X1,X2),X2)
| ( sK10(X0,X1,X2) = ordered_pair(sK12(X0,X1,X2),sK11(X0,X1,X2))
& in(sK12(X0,X1,X2),X0)
& in(sK11(X0,X1,X2),X1) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11,sK12])],[f50,f53,f52,f51]) ).
fof(f51,plain,
! [X0,X1,X3] :
( ? [X4,X5] :
( ordered_pair(X5,X4) = X3
& in(X5,X0)
& in(X4,X1) )
=> ( ordered_pair(sK9(X0,X1,X3),sK8(X0,X1,X3)) = X3
& in(sK9(X0,X1,X3),X0)
& in(sK8(X0,X1,X3),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ? [X8] :
( ( ~ in(X8,X2)
| ! [X9,X10] :
( ordered_pair(X10,X9) != X8
| ~ in(X10,X0)
| ~ in(X9,X1) ) )
& ( in(X8,X2)
| ? [X11,X12] :
( ordered_pair(X12,X11) = X8
& in(X12,X0)
& in(X11,X1) ) ) )
=> ( ( ~ in(sK10(X0,X1,X2),X2)
| ! [X10,X9] :
( sK10(X0,X1,X2) != ordered_pair(X10,X9)
| ~ in(X10,X0)
| ~ in(X9,X1) ) )
& ( in(sK10(X0,X1,X2),X2)
| ? [X12,X11] :
( ordered_pair(X12,X11) = sK10(X0,X1,X2)
& in(X12,X0)
& in(X11,X1) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ? [X12,X11] :
( ordered_pair(X12,X11) = sK10(X0,X1,X2)
& in(X12,X0)
& in(X11,X1) )
=> ( sK10(X0,X1,X2) = ordered_pair(sK12(X0,X1,X2),sK11(X0,X1,X2))
& in(sK12(X0,X1,X2),X0)
& in(sK11(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( ? [X4,X5] :
( ordered_pair(X5,X4) = X3
& in(X5,X0)
& in(X4,X1) )
| ~ in(X3,X2) )
& ( in(X3,X2)
| ! [X6,X7] :
( ordered_pair(X7,X6) != X3
| ~ in(X7,X0)
| ~ in(X6,X1) ) ) )
| cartesian_product2(X0,X1) != X2 )
& ( cartesian_product2(X0,X1) = X2
| ? [X8] :
( ( ~ in(X8,X2)
| ! [X9,X10] :
( ordered_pair(X10,X9) != X8
| ~ in(X10,X0)
| ~ in(X9,X1) ) )
& ( in(X8,X2)
| ? [X11,X12] :
( ordered_pair(X12,X11) = X8
& in(X12,X0)
& in(X11,X1) ) ) ) ) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X1,X0,X2] :
( ( ! [X3] :
( ( ? [X5,X4] :
( ordered_pair(X4,X5) = X3
& in(X4,X1)
& in(X5,X0) )
| ~ in(X3,X2) )
& ( in(X3,X2)
| ! [X5,X4] :
( ordered_pair(X4,X5) != X3
| ~ in(X4,X1)
| ~ in(X5,X0) ) ) )
| cartesian_product2(X1,X0) != X2 )
& ( cartesian_product2(X1,X0) = X2
| ? [X3] :
( ( ~ in(X3,X2)
| ! [X5,X4] :
( ordered_pair(X4,X5) != X3
| ~ in(X4,X1)
| ~ in(X5,X0) ) )
& ( in(X3,X2)
| ? [X5,X4] :
( ordered_pair(X4,X5) = X3
& in(X4,X1)
& in(X5,X0) ) ) ) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X1,X0,X2] :
( ! [X3] :
( ? [X5,X4] :
( ordered_pair(X4,X5) = X3
& in(X4,X1)
& in(X5,X0) )
<=> in(X3,X2) )
<=> cartesian_product2(X1,X0) = X2 ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0,X2] :
( ! [X3] :
( ? [X4,X5] :
( ordered_pair(X4,X5) = X3
& in(X4,X0)
& in(X5,X1) )
<=> in(X3,X2) )
<=> cartesian_product2(X0,X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_zfmisc_1) ).
fof(f188,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),cartesian_product2(X2,X3))
| in(X0,X2) ),
inference(superposition,[],[f88,f66]) ).
fof(f88,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X3,X0),singleton(X3)),cartesian_product2(X1,X2))
| in(X3,X1) ),
inference(definition_unfolding,[],[f75,f61]) ).
fof(f75,plain,
! [X2,X3,X0,X1] :
( in(X3,X1)
| ~ in(ordered_pair(X3,X0),cartesian_product2(X1,X2)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f350,plain,
( sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))) = unordered_pair(singleton(sK9(unordered_pair(sK2,sK1),singleton(sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))))),unordered_pair(sK3,sK9(unordered_pair(sK2,sK1),singleton(sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))))))
| unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)) ),
inference(forward_demodulation,[],[f348,f66]) ).
fof(f348,plain,
( unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))) = unordered_pair(singleton(sK9(unordered_pair(sK2,sK1),singleton(sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))))),unordered_pair(sK9(unordered_pair(sK2,sK1),singleton(sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))),sK3))
| unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))) ),
inference(duplicate_literal_removal,[],[f328]) ).
fof(f328,plain,
( unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))
| unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))) = unordered_pair(singleton(sK9(unordered_pair(sK2,sK1),singleton(sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))))),unordered_pair(sK9(unordered_pair(sK2,sK1),singleton(sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))),sK3))
| unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))) ),
inference(superposition,[],[f300,f210]) ).
fof(f210,plain,
( sK8(unordered_pair(sK2,sK1),singleton(sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))) = sK3
| unordered_pair(singleton(sK1),unordered_pair(sK1,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)) = sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)) ),
inference(resolution,[],[f203,f97]) ).
fof(f203,plain,
( in(sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))),unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))))
| unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))
| sK8(unordered_pair(sK2,sK1),singleton(sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))) = sK3 ),
inference(resolution,[],[f143,f146]) ).
fof(f143,plain,
! [X3,X4,X5] :
( ~ in(X3,cartesian_product2(X4,singleton(X5)))
| sK8(X4,singleton(X5),X3) = X5 ),
inference(resolution,[],[f104,f94]) ).
fof(f94,plain,
! [X3,X0] :
( ~ in(X3,singleton(X0))
| X0 = X3 ),
inference(equality_resolution,[],[f63]) ).
fof(f63,plain,
! [X3,X0,X1] :
( X0 = X3
| ~ in(X3,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f39]) ).
fof(f104,plain,
! [X3,X0,X1] :
( in(sK8(X0,X1,X3),X1)
| ~ in(X3,cartesian_product2(X0,X1)) ),
inference(equality_resolution,[],[f82]) ).
fof(f82,plain,
! [X2,X3,X0,X1] :
( in(sK8(X0,X1,X3),X1)
| ~ in(X3,X2)
| cartesian_product2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f54]) ).
fof(f165,plain,
( ~ in(sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3)))
| ~ in(sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))),cartesian_product2(unordered_pair(sK2,sK1),singleton(sK3))),unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK3))))
| unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))) != cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)) ),
inference(extensionality_resolution,[],[f56,f121]) ).
fof(f56,plain,
! [X0,X1] :
( ~ in(sK0(X0,X1),X1)
| ~ in(sK0(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ in(sK0(X0,X1),X1)
| ~ in(sK0(X0,X1),X0) )
& ( in(sK0(X0,X1),X1)
| in(sK0(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f25,f26]) ).
fof(f26,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) )
=> ( ( ~ in(sK0(X0,X1),X1)
| ~ in(sK0(X0,X1),X0) )
& ( in(sK0(X0,X1),X1)
| in(sK0(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( in(X2,X0)
<~> in(X2,X1) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X1,X0] :
( ! [X2] :
( in(X2,X1)
<=> in(X2,X0) )
=> X0 = X1 ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X0] :
( ! [X2] :
( in(X2,X1)
<=> in(X2,X0) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski) ).
fof(f55,plain,
! [X0,X1] :
( in(sK0(X0,X1),X0)
| in(sK0(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f27]) ).
fof(f2425,plain,
! [X2,X3,X4] :
( ~ in(sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))),cartesian_product2(X2,unordered_pair(X3,X4)))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK1))
| sK8(singleton(sK2),unordered_pair(sK1,sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)))) = X4
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))
| sK8(singleton(sK2),unordered_pair(sK1,sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)))) = X3 ),
inference(resolution,[],[f2094,f97]) ).
fof(f2094,plain,
! [X4,X5] :
( in(sK8(singleton(sK2),unordered_pair(sK1,sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)))),X5)
| ~ in(sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))),cartesian_product2(X4,X5))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)) ),
inference(superposition,[],[f184,f2086]) ).
fof(f2086,plain,
( sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK9(singleton(sK2),unordered_pair(sK1,sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))))),unordered_pair(sK9(singleton(sK2),unordered_pair(sK1,sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)))),sK8(singleton(sK2),unordered_pair(sK1,sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))))))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)) ),
inference(resolution,[],[f2065,f97]) ).
fof(f2065,plain,
( in(sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))),unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK9(singleton(sK2),unordered_pair(sK1,sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))))),unordered_pair(sK9(singleton(sK2),unordered_pair(sK1,sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)))),sK8(singleton(sK2),unordered_pair(sK1,sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)))))) ),
inference(resolution,[],[f2002,f282]) ).
fof(f184,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),cartesian_product2(X2,X3))
| in(X1,X3) ),
inference(superposition,[],[f87,f66]) ).
fof(f87,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X3,X0),singleton(X3)),cartesian_product2(X1,X2))
| in(X0,X2) ),
inference(definition_unfolding,[],[f76,f61]) ).
fof(f76,plain,
! [X2,X3,X0,X1] :
( in(X0,X2)
| ~ in(ordered_pair(X3,X0),cartesian_product2(X1,X2)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f2122,plain,
( sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK8(singleton(sK2),unordered_pair(sK1,sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))))))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK1))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)) ),
inference(duplicate_literal_removal,[],[f2091]) ).
fof(f2091,plain,
( sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK1))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK1))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK8(singleton(sK2),unordered_pair(sK1,sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))))))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)) ),
inference(superposition,[],[f2086,f2072]) ).
fof(f2072,plain,
( sK2 = sK9(singleton(sK2),unordered_pair(sK1,sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK1))
| sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))) = unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)) ),
inference(resolution,[],[f2064,f97]) ).
fof(f2064,plain,
( in(sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))),unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))))
| sK2 = sK9(singleton(sK2),unordered_pair(sK1,sK3),sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)))) ),
inference(resolution,[],[f2002,f136]) ).
fof(f136,plain,
! [X3,X4,X5] :
( ~ in(X3,cartesian_product2(singleton(X4),X5))
| sK9(singleton(X4),X5,X3) = X4 ),
inference(resolution,[],[f103,f94]) ).
fof(f103,plain,
! [X3,X0,X1] :
( in(sK9(X0,X1,X3),X0)
| ~ in(X3,cartesian_product2(X0,X1)) ),
inference(equality_resolution,[],[f83]) ).
fof(f83,plain,
! [X2,X3,X0,X1] :
( in(sK9(X0,X1,X3),X0)
| ~ in(X3,X2)
| cartesian_product2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f54]) ).
fof(f2000,plain,
( ~ in(sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)))
| ~ in(sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))),unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)))) ),
inference(extensionality_resolution,[],[f56,f1993]) ).
fof(f8216,plain,
~ in(sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))),
inference(subsumption_resolution,[],[f8088,f99]) ).
fof(f8088,plain,
( ~ in(sK0(unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3))),cartesian_product2(singleton(sK2),unordered_pair(sK1,sK3)))
| ~ in(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)))) ),
inference(backward_demodulation,[],[f2000,f8079]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET895+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 14:30:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (12435)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)
% 0.19/0.50 % (12435)Refutation not found, incomplete strategy% (12435)------------------------------
% 0.19/0.50 % (12435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (12458)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.51 % (12435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (12435)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (12435)Memory used [KB]: 5500
% 0.19/0.51 % (12435)Time elapsed: 0.102 s
% 0.19/0.51 % (12435)Instructions burned: 8 (million)
% 0.19/0.51 % (12435)------------------------------
% 0.19/0.51 % (12435)------------------------------
% 0.19/0.53 % (12443)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)
% 0.19/0.55 % (12457)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)
% 0.19/0.55 % (12449)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)
% 0.19/0.57 % (12434)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)
% 0.19/0.57 % (12436)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)
% 0.19/0.58 % (12441)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.58 % (12450)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 % (12441)Instruction limit reached!
% 0.19/0.58 % (12441)------------------------------
% 0.19/0.58 % (12441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (12447)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.59 % (12441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (12441)Termination reason: Unknown
% 0.19/0.59 % (12441)Termination phase: Saturation
% 0.19/0.59
% 0.19/0.59 % (12441)Memory used [KB]: 5500
% 0.19/0.59 % (12441)Time elapsed: 0.113 s
% 0.19/0.59 % (12441)Instructions burned: 7 (million)
% 0.19/0.59 % (12441)------------------------------
% 0.19/0.59 % (12441)------------------------------
% 0.19/0.59 % (12437)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)
% 0.19/0.59 % (12448)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)
% 0.19/0.59 % (12454)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)
% 0.19/0.59 % (12438)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.60 TRYING [1]
% 0.19/0.60 TRYING [2]
% 0.19/0.61 TRYING [3]
% 0.19/0.61 % (12459)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.61 % (12462)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.61 % (12439)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)
% 0.19/0.61 % (12440)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)
% 0.19/0.62 % (12451)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.62 % (12442)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.62 % (12442)Instruction limit reached!
% 0.19/0.62 % (12442)------------------------------
% 0.19/0.62 % (12442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.62 % (12442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.62 % (12442)Termination reason: Unknown
% 0.19/0.62 % (12442)Termination phase: Blocked clause elimination
% 0.19/0.62
% 0.19/0.62 % (12442)Memory used [KB]: 895
% 0.19/0.62 % (12442)Time elapsed: 0.004 s
% 0.19/0.62 % (12442)Instructions burned: 3 (million)
% 0.19/0.62 % (12442)------------------------------
% 0.19/0.62 % (12442)------------------------------
% 1.98/0.62 % (12460)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)
% 1.98/0.63 % (12461)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)
% 1.98/0.63 % (12456)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)
% 1.98/0.63 % (12463)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)
% 1.98/0.63 % (12445)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)
% 1.98/0.63 % (12452)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.98/0.63 % (12453)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)
% 1.98/0.63 % (12446)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.98/0.64 TRYING [1]
% 1.98/0.64 % (12455)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.98/0.64 TRYING [2]
% 1.98/0.64 % (12443)Instruction limit reached!
% 1.98/0.64 % (12443)------------------------------
% 1.98/0.64 % (12443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.64 % (12443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.64 % (12443)Termination reason: Unknown
% 1.98/0.64 % (12443)Termination phase: Saturation
% 1.98/0.64
% 1.98/0.64 % (12443)Memory used [KB]: 1663
% 1.98/0.64 % (12443)Time elapsed: 0.215 s
% 1.98/0.64 % (12443)Instructions burned: 52 (million)
% 1.98/0.64 % (12443)------------------------------
% 1.98/0.64 % (12443)------------------------------
% 1.98/0.64 TRYING [3]
% 2.30/0.65 TRYING [1]
% 2.30/0.65 % (12444)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.30/0.65 TRYING [2]
% 2.41/0.67 TRYING [3]
% 2.41/0.71 % (12497)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.41/0.71 % (12449)Instruction limit reached!
% 2.41/0.71 % (12449)------------------------------
% 2.41/0.71 % (12449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.72 % (12436)Instruction limit reached!
% 2.77/0.72 % (12436)------------------------------
% 2.77/0.72 % (12436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.72 % (12436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.72 % (12436)Termination reason: Unknown
% 2.77/0.72 % (12436)Termination phase: Saturation
% 2.77/0.72
% 2.77/0.72 % (12436)Memory used [KB]: 1535
% 2.77/0.72 % (12436)Time elapsed: 0.286 s
% 2.77/0.72 % (12436)Instructions burned: 37 (million)
% 2.77/0.72 % (12436)------------------------------
% 2.77/0.72 % (12436)------------------------------
% 2.77/0.72 % (12440)Instruction limit reached!
% 2.77/0.72 % (12440)------------------------------
% 2.77/0.72 % (12440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.72 % (12440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.72 % (12440)Termination reason: Unknown
% 2.77/0.72 % (12440)Termination phase: Finite model building SAT solving
% 2.77/0.72
% 2.77/0.72 % (12440)Memory used [KB]: 7931
% 2.77/0.72 % (12440)Time elapsed: 0.241 s
% 2.77/0.72 % (12440)Instructions burned: 52 (million)
% 2.77/0.72 % (12440)------------------------------
% 2.77/0.72 % (12440)------------------------------
% 2.77/0.72 % (12449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.72 % (12449)Termination reason: Unknown
% 2.77/0.72 % (12449)Termination phase: Saturation
% 2.77/0.72
% 2.77/0.72 % (12449)Memory used [KB]: 2302
% 2.77/0.72 % (12449)Time elapsed: 0.244 s
% 2.77/0.72 % (12449)Instructions burned: 75 (million)
% 2.77/0.72 % (12449)------------------------------
% 2.77/0.72 % (12449)------------------------------
% 2.77/0.73 % (12438)Instruction limit reached!
% 2.77/0.73 % (12438)------------------------------
% 2.77/0.73 % (12438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.73 % (12438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.73 % (12438)Termination reason: Unknown
% 2.77/0.73 % (12438)Termination phase: Saturation
% 2.77/0.73
% 2.77/0.73 % (12438)Memory used [KB]: 6524
% 2.77/0.73 % (12438)Time elapsed: 0.309 s
% 2.77/0.73 % (12438)Instructions burned: 52 (million)
% 2.77/0.73 % (12438)------------------------------
% 2.77/0.73 % (12438)------------------------------
% 2.77/0.74 % (12437)Instruction limit reached!
% 2.77/0.74 % (12437)------------------------------
% 2.77/0.74 % (12437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.74 % (12437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.74 % (12437)Termination reason: Unknown
% 2.77/0.74 % (12437)Termination phase: Saturation
% 2.77/0.74
% 2.77/0.74 % (12437)Memory used [KB]: 6268
% 2.77/0.74 % (12437)Time elapsed: 0.306 s
% 2.77/0.74 % (12437)Instructions burned: 51 (million)
% 2.77/0.74 % (12437)------------------------------
% 2.77/0.74 % (12437)------------------------------
% 2.77/0.75 % (12439)Instruction limit reached!
% 2.77/0.75 % (12439)------------------------------
% 2.77/0.75 % (12439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.75 % (12439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.75 % (12439)Termination reason: Unknown
% 2.77/0.75 % (12439)Termination phase: Saturation
% 2.77/0.75
% 2.77/0.75 % (12439)Memory used [KB]: 5884
% 2.77/0.75 % (12439)Time elapsed: 0.266 s
% 2.77/0.75 % (12439)Instructions burned: 49 (million)
% 2.77/0.75 % (12439)------------------------------
% 2.77/0.75 % (12439)------------------------------
% 3.07/0.75 % (12451)Instruction limit reached!
% 3.07/0.75 % (12451)------------------------------
% 3.07/0.75 % (12451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/0.75 % (12451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/0.75 % (12451)Termination reason: Unknown
% 3.07/0.75 % (12451)Termination phase: Finite model building SAT solving
% 3.07/0.75
% 3.07/0.75 % (12451)Memory used [KB]: 8059
% 3.07/0.75 % (12451)Time elapsed: 0.254 s
% 3.07/0.75 % (12451)Instructions burned: 60 (million)
% 3.07/0.75 % (12451)------------------------------
% 3.07/0.75 % (12451)------------------------------
% 3.07/0.76 % (12448)Instruction limit reached!
% 3.07/0.76 % (12448)------------------------------
% 3.07/0.76 % (12448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/0.76 TRYING [4]
% 3.07/0.78 % (12448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/0.78 % (12448)Termination reason: Unknown
% 3.07/0.78 % (12448)Termination phase: Saturation
% 3.07/0.78
% 3.07/0.78 % (12448)Memory used [KB]: 6780
% 3.07/0.78 % (12448)Time elapsed: 0.054 s
% 3.07/0.78 % (12448)Instructions burned: 68 (million)
% 3.07/0.78 % (12448)------------------------------
% 3.07/0.78 % (12448)------------------------------
% 3.07/0.78 % (12444)Instruction limit reached!
% 3.07/0.78 % (12444)------------------------------
% 3.07/0.78 % (12444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/0.78 % (12444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/0.78 % (12444)Termination reason: Unknown
% 3.07/0.78 % (12444)Termination phase: Saturation
% 3.07/0.78
% 3.07/0.78 % (12444)Memory used [KB]: 6268
% 3.07/0.78 % (12444)Time elapsed: 0.343 s
% 3.07/0.78 % (12444)Instructions burned: 50 (million)
% 3.07/0.78 % (12444)------------------------------
% 3.07/0.78 % (12444)------------------------------
% 3.07/0.79 % (12498)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 3.07/0.81 % (12460)Instruction limit reached!
% 3.07/0.81 % (12460)------------------------------
% 3.07/0.81 % (12460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/0.81 % (12460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/0.81 % (12460)Termination reason: Unknown
% 3.07/0.81 % (12460)Termination phase: Saturation
% 3.07/0.81
% 3.07/0.81 % (12460)Memory used [KB]: 6652
% 3.07/0.81 % (12460)Time elapsed: 0.055 s
% 3.07/0.81 % (12460)Instructions burned: 68 (million)
% 3.07/0.81 % (12460)------------------------------
% 3.07/0.81 % (12460)------------------------------
% 3.07/0.83 % (12453)Instruction limit reached!
% 3.07/0.83 % (12453)------------------------------
% 3.07/0.83 % (12453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/0.83 % (12453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/0.83 % (12453)Termination reason: Unknown
% 3.07/0.83 % (12453)Termination phase: Saturation
% 3.07/0.83
% 3.07/0.83 % (12453)Memory used [KB]: 2302
% 3.07/0.83 % (12453)Time elapsed: 0.404 s
% 3.07/0.83 % (12453)Instructions burned: 100 (million)
% 3.07/0.83 % (12453)------------------------------
% 3.07/0.83 % (12453)------------------------------
% 3.52/0.84 % (12500)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 3.52/0.86 % (12447)Instruction limit reached!
% 3.52/0.86 % (12447)------------------------------
% 3.52/0.86 % (12447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.52/0.86 % (12447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.52/0.86 % (12447)Termination reason: Unknown
% 3.52/0.86 % (12447)Termination phase: Saturation
% 3.52/0.86
% 3.52/0.86 % (12447)Memory used [KB]: 6908
% 3.52/0.86 % (12447)Time elapsed: 0.438 s
% 3.52/0.86 % (12447)Instructions burned: 100 (million)
% 3.52/0.86 % (12447)------------------------------
% 3.52/0.86 % (12447)------------------------------
% 3.52/0.86 % (12450)Instruction limit reached!
% 3.52/0.86 % (12450)------------------------------
% 3.52/0.86 % (12450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.52/0.86 % (12450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.52/0.86 % (12450)Termination reason: Unknown
% 3.52/0.86 % (12450)Termination phase: Saturation
% 3.52/0.86
% 3.52/0.86 % (12450)Memory used [KB]: 6140
% 3.52/0.86 % (12450)Time elapsed: 0.426 s
% 3.52/0.86 % (12450)Instructions burned: 99 (million)
% 3.52/0.86 % (12450)------------------------------
% 3.52/0.86 % (12450)------------------------------
% 3.76/0.89 % (12506)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 3.76/0.90 % (12445)Instruction limit reached!
% 3.76/0.90 % (12445)------------------------------
% 3.76/0.90 % (12445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.76/0.90 % (12445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.76/0.90 % (12445)Termination reason: Unknown
% 3.76/0.90 % (12445)Termination phase: Saturation
% 3.76/0.90
% 3.76/0.90 % (12445)Memory used [KB]: 6780
% 3.76/0.90 % (12445)Time elapsed: 0.459 s
% 3.76/0.90 % (12445)Instructions burned: 101 (million)
% 3.76/0.90 % (12445)------------------------------
% 3.76/0.90 % (12445)------------------------------
% 3.76/0.90 % (12452)Instruction limit reached!
% 3.76/0.90 % (12452)------------------------------
% 3.76/0.90 % (12452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.76/0.90 % (12452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.76/0.90 % (12452)Termination reason: Unknown
% 3.76/0.90 % (12452)Termination phase: Saturation
% 3.76/0.90
% 3.76/0.90 % (12452)Memory used [KB]: 6652
% 3.76/0.90 % (12452)Time elapsed: 0.479 s
% 3.76/0.90 % (12452)Instructions burned: 101 (million)
% 3.76/0.90 % (12452)------------------------------
% 3.76/0.90 % (12452)------------------------------
% 3.76/0.91 % (12446)Instruction limit reached!
% 3.76/0.91 % (12446)------------------------------
% 3.76/0.91 % (12446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.76/0.91 % (12446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.76/0.91 % (12446)Termination reason: Unknown
% 3.76/0.91 % (12446)Termination phase: Saturation
% 3.76/0.91
% 3.76/0.91 % (12446)Memory used [KB]: 6780
% 3.76/0.91 % (12446)Time elapsed: 0.488 s
% 3.76/0.91 % (12446)Instructions burned: 101 (million)
% 3.76/0.91 % (12446)------------------------------
% 3.76/0.91 % (12446)------------------------------
% 3.76/0.91 % (12499)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 3.76/0.94 % (12461)Instruction limit reached!
% 3.76/0.94 % (12461)------------------------------
% 3.76/0.94 % (12461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.76/0.94 % (12461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.76/0.94 % (12461)Termination reason: Unknown
% 3.76/0.94 % (12461)Termination phase: Saturation
% 3.76/0.94
% 3.76/0.94 % (12461)Memory used [KB]: 4093
% 3.76/0.94 % (12461)Time elapsed: 0.504 s
% 3.76/0.94 % (12461)Instructions burned: 178 (million)
% 3.76/0.94 % (12461)------------------------------
% 3.76/0.94 % (12461)------------------------------
% 3.98/0.95 % (12522)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 3.98/0.95 % (12505)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 4.02/0.97 % (12511)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 4.02/0.97 % (12509)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 4.02/0.97 % (12508)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 (2996ds/68Mi)
% 4.02/0.98 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 4.02/0.98 % (12510)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 4.02/0.98 % (12455)Instruction limit reached!
% 4.02/0.98 % (12455)------------------------------
% 4.02/0.98 % (12455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.02/0.99 % (12514)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3735Mi)
% 4.02/0.99 % (12455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.02/0.99 % (12455)Termination reason: Unknown
% 4.02/0.99 % (12455)Termination phase: Saturation
% 4.02/0.99
% 4.02/0.99 % (12455)Memory used [KB]: 7803
% 4.02/0.99 % (12455)Time elapsed: 0.545 s
% 4.02/0.99 % (12455)Instructions burned: 140 (million)
% 4.02/0.99 % (12455)------------------------------
% 4.02/0.99 % (12455)------------------------------
% 4.02/1.00 % (12507)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 4.02/1.00 % (12518)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4958Mi)
% 4.17/1.01 % (12513)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2016Mi)
% 4.17/1.03 % (12454)Instruction limit reached!
% 4.17/1.03 % (12454)------------------------------
% 4.17/1.03 % (12454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.17/1.04 % (12524)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 4.17/1.04 % (12454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.17/1.04 % (12454)Termination reason: Unknown
% 4.17/1.04 % (12454)Termination phase: Saturation
% 4.17/1.04
% 4.17/1.04 % (12454)Memory used [KB]: 6908
% 4.17/1.04 % (12454)Time elapsed: 0.615 s
% 4.17/1.04 % (12454)Instructions burned: 177 (million)
% 4.17/1.04 % (12454)------------------------------
% 4.17/1.04 % (12454)------------------------------
% 4.17/1.05 % (12532)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2891Mi)
% 4.28/1.05 % (12508)Instruction limit reached!
% 4.28/1.05 % (12508)------------------------------
% 4.28/1.05 % (12508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.28/1.05 % (12528)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 (2994ds/68Mi)
% 4.28/1.05 % (12526)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4931Mi)
% 4.28/1.06 % (12529)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1824Mi)
% 4.28/1.06 % (12508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.28/1.06 % (12508)Termination reason: Unknown
% 4.28/1.06 % (12508)Termination phase: Saturation
% 4.28/1.06
% 4.28/1.06 % (12508)Memory used [KB]: 6780
% 4.28/1.06 % (12508)Time elapsed: 0.032 s
% 4.28/1.06 % (12508)Instructions burned: 68 (million)
% 4.28/1.06 % (12508)------------------------------
% 4.28/1.06 % (12508)------------------------------
% 4.28/1.07 % (12531)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2134Mi)
% 4.28/1.08 % (12499)Instruction limit reached!
% 4.28/1.08 % (12499)------------------------------
% 4.28/1.08 % (12499)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.28/1.08 % (12499)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.28/1.08 % (12499)Termination reason: Unknown
% 4.28/1.08 % (12499)Termination phase: Saturation
% 4.28/1.08
% 4.28/1.08 % (12499)Memory used [KB]: 6396
% 4.28/1.08 % (12499)Time elapsed: 0.395 s
% 4.28/1.08 % (12499)Instructions burned: 90 (million)
% 4.28/1.08 % (12499)------------------------------
% 4.28/1.08 % (12499)------------------------------
% 4.28/1.11 % (12511)Instruction limit reached!
% 4.28/1.11 % (12511)------------------------------
% 4.28/1.11 % (12511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.28/1.11 % (12511)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.28/1.11 % (12511)Termination reason: Unknown
% 4.28/1.11 % (12511)Termination phase: Saturation
% 4.28/1.11
% 4.28/1.11 % (12511)Memory used [KB]: 6396
% 4.28/1.11 % (12511)Time elapsed: 0.277 s
% 4.28/1.11 % (12511)Instructions burned: 91 (million)
% 4.28/1.11 % (12511)------------------------------
% 4.28/1.11 % (12511)------------------------------
% 4.28/1.12 % (12534)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/4585Mi)
% 6.25/1.15 % (12553)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2016Mi)
% 6.25/1.16 % (12498)Instruction limit reached!
% 6.25/1.16 % (12498)------------------------------
% 6.25/1.16 % (12498)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.25/1.16 % (12542)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/90Mi)
% 6.25/1.17 % (12528)Instruction limit reached!
% 6.25/1.17 % (12528)------------------------------
% 6.25/1.17 % (12528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.25/1.17 % (12528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.25/1.17 % (12528)Termination reason: Unknown
% 6.25/1.17 % (12528)Termination phase: Saturation
% 6.25/1.17
% 6.25/1.17 % (12528)Memory used [KB]: 6652
% 6.25/1.17 % (12528)Time elapsed: 0.033 s
% 6.25/1.17 % (12528)Instructions burned: 68 (million)
% 6.25/1.17 % (12528)------------------------------
% 6.25/1.17 % (12528)------------------------------
% 6.25/1.17 % (12498)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.25/1.17 % (12498)Termination reason: Unknown
% 6.25/1.17 % (12498)Termination phase: Saturation
% 6.25/1.17
% 6.25/1.17 % (12498)Memory used [KB]: 3837
% 6.25/1.17 % (12498)Time elapsed: 0.474 s
% 6.25/1.17 % (12498)Instructions burned: 212 (million)
% 6.25/1.17 % (12498)------------------------------
% 6.25/1.17 % (12498)------------------------------
% 6.25/1.19 % (12563)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/8004Mi)
% 6.69/1.23 TRYING [5]
% 6.69/1.25 % (12578)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9965Mi)
% 7.14/1.26 % (12497)Instruction limit reached!
% 7.14/1.26 % (12497)------------------------------
% 7.14/1.26 % (12497)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.14/1.27 % (12463)Instruction limit reached!
% 7.14/1.27 % (12463)------------------------------
% 7.14/1.27 % (12463)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.14/1.27 % (12598)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9877Mi)
% 7.14/1.27 % (12497)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.14/1.27 % (12497)Termination reason: Unknown
% 7.14/1.27 % (12497)Termination phase: Saturation
% 7.14/1.27
% 7.14/1.27 % (12497)Memory used [KB]: 6780
% 7.14/1.27 % (12497)Time elapsed: 0.553 s
% 7.14/1.27 % (12497)Instructions burned: 389 (million)
% 7.14/1.27 % (12497)------------------------------
% 7.14/1.27 % (12497)------------------------------
% 7.14/1.28 % (12457)Instruction limit reached!
% 7.14/1.28 % (12457)------------------------------
% 7.14/1.28 % (12457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.14/1.28 % (12463)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.14/1.28 % (12463)Termination reason: Unknown
% 7.14/1.28 % (12463)Termination phase: Saturation
% 7.14/1.28
% 7.14/1.28 % (12463)Memory used [KB]: 9338
% 7.14/1.28 % (12463)Time elapsed: 0.851 s
% 7.14/1.28 % (12463)Instructions burned: 357 (million)
% 7.14/1.28 % (12463)------------------------------
% 7.14/1.28 % (12463)------------------------------
% 7.14/1.29 % (12457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.14/1.29 % (12457)Termination reason: Unknown
% 7.14/1.29 % (12457)Termination phase: Saturation
% 7.14/1.29
% 7.14/1.29 % (12457)Memory used [KB]: 9210
% 7.14/1.29 % (12457)Time elapsed: 0.752 s
% 7.14/1.29 % (12457)Instructions burned: 469 (million)
% 7.14/1.29 % (12457)------------------------------
% 7.14/1.29 % (12457)------------------------------
% 7.14/1.30 % (12456)Instruction limit reached!
% 7.14/1.30 % (12456)------------------------------
% 7.14/1.30 % (12456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.14/1.30 % (12456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.14/1.30 % (12456)Termination reason: Unknown
% 7.14/1.30 % (12456)Termination phase: Saturation
% 7.14/1.30
% 7.14/1.30 % (12456)Memory used [KB]: 3837
% 7.14/1.30 % (12456)Time elapsed: 0.860 s
% 7.14/1.30 % (12456)Instructions burned: 498 (million)
% 7.14/1.30 % (12456)------------------------------
% 7.14/1.30 % (12456)------------------------------
% 7.46/1.31 % (12542)Instruction limit reached!
% 7.46/1.31 % (12542)------------------------------
% 7.46/1.31 % (12542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.46/1.31 % (12542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.46/1.31 % (12542)Termination reason: Unknown
% 7.46/1.31 % (12542)Termination phase: Saturation
% 7.46/1.31
% 7.46/1.31 % (12542)Memory used [KB]: 6524
% 7.46/1.31 % (12542)Time elapsed: 0.247 s
% 7.46/1.31 % (12542)Instructions burned: 91 (million)
% 7.46/1.31 % (12542)------------------------------
% 7.46/1.31 % (12542)------------------------------
% 7.46/1.31 % (12602)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9902Mi)
% 7.72/1.37 % (12458)Instruction limit reached!
% 7.72/1.37 % (12458)------------------------------
% 7.72/1.37 % (12458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.72/1.37 % (12458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.72/1.37 % (12458)Termination reason: Unknown
% 7.72/1.37 % (12458)Termination phase: Saturation
% 7.72/1.37
% 7.72/1.37 % (12458)Memory used [KB]: 11641
% 7.72/1.37 % (12458)Time elapsed: 0.972 s
% 7.72/1.37 % (12458)Instructions burned: 482 (million)
% 7.72/1.37 % (12458)------------------------------
% 7.72/1.37 % (12458)------------------------------
% 7.72/1.41 % (12670)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/1824Mi)
% 7.72/1.41 % (12684)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/90Mi)
% 7.72/1.42 % (12682)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9707Mi)
% 7.72/1.42 % (12679)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9989Mi)
% 8.31/1.44 % (12690)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/44001Mi)
% 8.31/1.44 % (12462)Instruction limit reached!
% 8.31/1.44 % (12462)------------------------------
% 8.31/1.44 % (12462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.31/1.44 % (12462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.31/1.44 % (12462)Termination reason: Unknown
% 8.31/1.44 % (12462)Termination phase: Saturation
% 8.31/1.44
% 8.31/1.44 % (12462)Memory used [KB]: 9594
% 8.31/1.44 % (12462)Time elapsed: 1.022 s
% 8.31/1.44 % (12462)Instructions burned: 439 (million)
% 8.31/1.44 % (12462)------------------------------
% 8.31/1.44 % (12462)------------------------------
% 8.31/1.48 % (12701)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/4958Mi)
% 8.64/1.54 % (12684)Instruction limit reached!
% 8.64/1.54 % (12684)------------------------------
% 8.64/1.54 % (12684)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.64/1.54 % (12684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.64/1.54 % (12684)Termination reason: Unknown
% 8.64/1.54 % (12684)Termination phase: Saturation
% 8.64/1.54
% 8.64/1.54 % (12684)Memory used [KB]: 6524
% 8.64/1.54 % (12684)Time elapsed: 0.188 s
% 8.64/1.54 % (12684)Instructions burned: 92 (million)
% 8.64/1.54 % (12684)------------------------------
% 8.64/1.54 % (12684)------------------------------
% 9.04/1.56 % (12459)Instruction limit reached!
% 9.04/1.56 % (12459)------------------------------
% 9.04/1.56 % (12459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.04/1.56 % (12459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.04/1.56 % (12459)Termination reason: Unknown
% 9.04/1.56 % (12459)Termination phase: Saturation
% 9.04/1.56
% 9.04/1.56 % (12459)Memory used [KB]: 11001
% 9.04/1.56 % (12459)Time elapsed: 1.141 s
% 9.04/1.56 % (12459)Instructions burned: 501 (million)
% 9.04/1.56 % (12459)------------------------------
% 9.04/1.56 % (12459)------------------------------
% 9.04/1.58 % (12722)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/35256Mi)
% 10.27/1.68 % (12770)ott+21_1:28_afr=on:anc=all_dependent:bs=on:bsr=unit_only:nicw=on:sp=const_frequency:uhcvi=on:i=37001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/37001Mi)
% 10.27/1.68 % (12756)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/32293Mi)
% 11.00/1.76 % (12507)Instruction limit reached!
% 11.00/1.76 % (12507)------------------------------
% 11.00/1.76 % (12507)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.00/1.76 % (12507)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.00/1.76 % (12507)Termination reason: Unknown
% 11.00/1.76 % (12507)Termination phase: Saturation
% 11.00/1.76
% 11.00/1.76 % (12507)Memory used [KB]: 4861
% 11.00/1.76 % (12507)Time elapsed: 0.940 s
% 11.00/1.76 % (12507)Instructions burned: 656 (million)
% 11.00/1.76 % (12507)------------------------------
% 11.00/1.76 % (12507)------------------------------
% 11.91/1.87 % (12778)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/10187Mi)
% 13.34/2.07 % (12509)Instruction limit reached!
% 13.34/2.07 % (12509)------------------------------
% 13.34/2.07 % (12509)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.34/2.08 % (12506)Instruction limit reached!
% 13.34/2.08 % (12506)------------------------------
% 13.34/2.08 % (12506)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.34/2.08 % (12506)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.34/2.08 % (12506)Termination reason: Unknown
% 13.34/2.08 % (12506)Termination phase: Saturation
% 13.34/2.08
% 13.34/2.08 % (12506)Memory used [KB]: 13944
% 13.34/2.08 % (12506)Time elapsed: 1.246 s
% 13.34/2.08 % (12506)Instructions burned: 747 (million)
% 13.34/2.08 % (12506)------------------------------
% 13.34/2.08 % (12506)------------------------------
% 13.34/2.09 % (12509)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.34/2.09 % (12509)Termination reason: Unknown
% 13.34/2.09 % (12509)Termination phase: Saturation
% 13.34/2.09
% 13.34/2.09 % (12509)Memory used [KB]: 7291
% 13.34/2.09 % (12509)Time elapsed: 1.206 s
% 13.34/2.09 % (12509)Instructions burned: 943 (million)
% 13.34/2.09 % (12509)------------------------------
% 13.34/2.09 % (12509)------------------------------
% 14.18/2.16 % (12500)Instruction limit reached!
% 14.18/2.16 % (12500)------------------------------
% 14.18/2.16 % (12500)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.18/2.16 % (12500)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.18/2.16 % (12500)Termination reason: Unknown
% 14.18/2.16 % (12500)Termination phase: Saturation
% 14.18/2.16
% 14.18/2.16 % (12500)Memory used [KB]: 15991
% 14.18/2.16 % (12500)Time elapsed: 1.383 s
% 14.18/2.16 % (12500)Instructions burned: 920 (million)
% 14.18/2.16 % (12500)------------------------------
% 14.18/2.16 % (12500)------------------------------
% 14.18/2.22 % (12780)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=10147:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/10147Mi)
% 14.18/2.23 % (12779)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=29337:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/29337Mi)
% 15.42/2.31 % (12781)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=38056:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/38056Mi)
% 15.42/2.31 TRYING [1]
% 15.42/2.31 TRYING [2]
% 15.42/2.34 TRYING [3]
% 15.85/2.39 TRYING [4]
% 16.27/2.42 % (12505)Instruction limit reached!
% 16.27/2.42 % (12505)------------------------------
% 16.27/2.42 % (12505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.27/2.43 % (12505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.27/2.43 % (12505)Termination reason: Unknown
% 16.27/2.43 % (12505)Termination phase: Saturation
% 16.27/2.43
% 16.27/2.43 % (12505)Memory used [KB]: 14839
% 16.27/2.43 % (12505)Time elapsed: 1.640 s
% 16.27/2.43 % (12505)Instructions burned: 934 (million)
% 16.27/2.43 % (12505)------------------------------
% 16.27/2.43 % (12505)------------------------------
% 16.57/2.45 % (12510)Instruction limit reached!
% 16.57/2.45 % (12510)------------------------------
% 16.57/2.45 % (12510)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.57/2.47 % (12510)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.57/2.47 % (12510)Termination reason: Unknown
% 16.57/2.47 % (12510)Termination phase: Saturation
% 16.57/2.47
% 16.57/2.47 % (12510)Memory used [KB]: 18293
% 16.57/2.47 % (12510)Time elapsed: 1.631 s
% 16.57/2.47 % (12510)Instructions burned: 983 (million)
% 16.57/2.47 % (12510)------------------------------
% 16.57/2.47 % (12510)------------------------------
% 16.57/2.53 TRYING [6]
% 17.29/2.55 % (12782)fmb+10_1:1_dr=on:fmbsr=2.0:newcnf=on:nm=2:i=33239:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/33239Mi)
% 17.29/2.56 TRYING [1]
% 17.29/2.57 TRYING [2]
% 17.29/2.57 TRYING [3]
% 17.29/2.59 % (12783)fmb+10_1:1_fmbas=predicate:gsp=on:nm=2:i=20987:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/20987Mi)
% 17.29/2.59 TRYING [1]
% 17.65/2.60 TRYING [4]
% 17.65/2.60 TRYING [2]
% 17.65/2.60 TRYING [3]
% 17.65/2.65 TRYING [4]
% 18.52/2.73 TRYING [5]
% 18.83/2.76 TRYING [5]
% 18.83/2.82 TRYING [5]
% 18.83/2.82 % (12513)Instruction limit reached!
% 18.83/2.82 % (12513)------------------------------
% 18.83/2.82 % (12513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.83/2.82 % (12513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.83/2.82 % (12513)Termination reason: Unknown
% 18.83/2.82 % (12513)Termination phase: Saturation
% 18.83/2.82
% 18.83/2.82 % (12513)Memory used [KB]: 4989
% 18.83/2.82 % (12513)Time elapsed: 1.981 s
% 18.83/2.82 % (12513)Instructions burned: 2020 (million)
% 18.83/2.82 % (12513)------------------------------
% 18.83/2.82 % (12513)------------------------------
% 19.77/2.86 % (12553)First to succeed.
% 19.77/2.88 % (12553)Refutation found. Thanks to Tanya!
% 19.77/2.88 % SZS status Theorem for theBenchmark
% 19.77/2.88 % SZS output start Proof for theBenchmark
% See solution above
% 19.77/2.88 % (12553)------------------------------
% 19.77/2.88 % (12553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.77/2.88 % (12553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.77/2.88 % (12553)Termination reason: Refutation
% 19.77/2.88
% 19.77/2.88 % (12553)Memory used [KB]: 7036
% 19.77/2.88 % (12553)Time elapsed: 1.743 s
% 19.77/2.88 % (12553)Instructions burned: 1422 (million)
% 19.77/2.88 % (12553)------------------------------
% 19.77/2.88 % (12553)------------------------------
% 19.77/2.88 % (12433)Success in time 2.525 s
%------------------------------------------------------------------------------