TSTP Solution File: SET773+4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET773+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:22:11 EDT 2022
% Result : Theorem 2.13s 0.65s
% Output : Refutation 2.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 27
% Syntax : Number of formulae : 248 ( 8 unt; 0 def)
% Number of atoms : 1177 ( 0 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 1564 ( 635 ~; 745 |; 133 &)
% ( 31 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 20 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 262 ( 217 !; 45 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1190,plain,
$false,
inference(avatar_sat_refutation,[],[f105,f126,f132,f148,f151,f179,f182,f202,f221,f258,f264,f299,f380,f526,f555,f699,f702,f729,f862,f903,f941,f1189]) ).
fof(f1189,plain,
( ~ spl12_2
| spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_17
| ~ spl12_24 ),
inference(avatar_contradiction_clause,[],[f1188]) ).
fof(f1188,plain,
( $false
| ~ spl12_2
| spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_17
| ~ spl12_24 ),
inference(subsumption_resolution,[],[f1187,f1181]) ).
fof(f1181,plain,
( ~ apply(sK8,sK3(sK11,sK9),sK2(sK11,sK9))
| ~ spl12_2
| spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_17 ),
inference(subsumption_resolution,[],[f1176,f934]) ).
fof(f934,plain,
( ~ apply(sK11,sK3(sK11,sK9),sK2(sK11,sK9))
| ~ spl12_2
| spl12_3
| ~ spl12_10 ),
inference(subsumption_resolution,[],[f933,f110]) ).
fof(f110,plain,
( ~ sP1(sK11,sK9)
| spl12_3 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl12_3
<=> sP1(sK11,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f933,plain,
( sP1(sK11,sK9)
| ~ apply(sK11,sK3(sK11,sK9),sK2(sK11,sK9))
| ~ spl12_2
| ~ spl12_10 ),
inference(subsumption_resolution,[],[f932,f104]) ).
fof(f104,plain,
( sP0(sK9,sK11)
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl12_2
<=> sP0(sK9,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f932,plain,
( ~ sP0(sK9,sK11)
| ~ apply(sK11,sK3(sK11,sK9),sK2(sK11,sK9))
| sP1(sK11,sK9)
| ~ spl12_10 ),
inference(resolution,[],[f174,f54]) ).
fof(f54,plain,
! [X0,X1] :
( ~ apply(X0,sK4(X0,X1),sK4(X0,X1))
| ~ apply(X0,sK3(X0,X1),sK2(X0,X1))
| sP1(X0,X1)
| ~ sP0(X1,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( ~ apply(X0,sK3(X0,X1),sK2(X0,X1))
& member(sK3(X0,X1),X1)
& apply(X0,sK2(X0,X1),sK3(X0,X1))
& member(sK2(X0,X1),X1) )
| ~ sP0(X1,X0)
| ( ~ apply(X0,sK4(X0,X1),sK4(X0,X1))
& member(sK4(X0,X1),X1) ) )
& ( ( ! [X5,X6] :
( apply(X0,X6,X5)
| ~ member(X6,X1)
| ~ apply(X0,X5,X6)
| ~ member(X5,X1) )
& sP0(X1,X0)
& ! [X7] :
( apply(X0,X7,X7)
| ~ member(X7,X1) ) )
| ~ sP1(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f30,f32,f31]) ).
fof(f31,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ apply(X0,X3,X2)
& member(X3,X1)
& apply(X0,X2,X3)
& member(X2,X1) )
=> ( ~ apply(X0,sK3(X0,X1),sK2(X0,X1))
& member(sK3(X0,X1),X1)
& apply(X0,sK2(X0,X1),sK3(X0,X1))
& member(sK2(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0,X1] :
( ? [X4] :
( ~ apply(X0,X4,X4)
& member(X4,X1) )
=> ( ~ apply(X0,sK4(X0,X1),sK4(X0,X1))
& member(sK4(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ? [X2,X3] :
( ~ apply(X0,X3,X2)
& member(X3,X1)
& apply(X0,X2,X3)
& member(X2,X1) )
| ~ sP0(X1,X0)
| ? [X4] :
( ~ apply(X0,X4,X4)
& member(X4,X1) ) )
& ( ( ! [X5,X6] :
( apply(X0,X6,X5)
| ~ member(X6,X1)
| ~ apply(X0,X5,X6)
| ~ member(X5,X1) )
& sP0(X1,X0)
& ! [X7] :
( apply(X0,X7,X7)
| ~ member(X7,X1) ) )
| ~ sP1(X0,X1) ) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X1,X0] :
( ( sP1(X1,X0)
| ? [X2,X3] :
( ~ apply(X1,X3,X2)
& member(X3,X0)
& apply(X1,X2,X3)
& member(X2,X0) )
| ~ sP0(X0,X1)
| ? [X7] :
( ~ apply(X1,X7,X7)
& member(X7,X0) ) )
& ( ( ! [X2,X3] :
( apply(X1,X3,X2)
| ~ member(X3,X0)
| ~ apply(X1,X2,X3)
| ~ member(X2,X0) )
& sP0(X0,X1)
& ! [X7] :
( apply(X1,X7,X7)
| ~ member(X7,X0) ) )
| ~ sP1(X1,X0) ) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X1,X0] :
( ( sP1(X1,X0)
| ? [X2,X3] :
( ~ apply(X1,X3,X2)
& member(X3,X0)
& apply(X1,X2,X3)
& member(X2,X0) )
| ~ sP0(X0,X1)
| ? [X7] :
( ~ apply(X1,X7,X7)
& member(X7,X0) ) )
& ( ( ! [X2,X3] :
( apply(X1,X3,X2)
| ~ member(X3,X0)
| ~ apply(X1,X2,X3)
| ~ member(X2,X0) )
& sP0(X0,X1)
& ! [X7] :
( apply(X1,X7,X7)
| ~ member(X7,X0) ) )
| ~ sP1(X1,X0) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X1,X0] :
( sP1(X1,X0)
<=> ( ! [X2,X3] :
( apply(X1,X3,X2)
| ~ member(X3,X0)
| ~ apply(X1,X2,X3)
| ~ member(X2,X0) )
& sP0(X0,X1)
& ! [X7] :
( apply(X1,X7,X7)
| ~ member(X7,X0) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f174,plain,
( apply(sK11,sK4(sK11,sK9),sK4(sK11,sK9))
| ~ spl12_10 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f172,plain,
( spl12_10
<=> apply(sK11,sK4(sK11,sK9),sK4(sK11,sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
fof(f1176,plain,
( apply(sK11,sK3(sK11,sK9),sK2(sK11,sK9))
| ~ apply(sK8,sK3(sK11,sK9),sK2(sK11,sK9))
| ~ spl12_2
| spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_17 ),
inference(subsumption_resolution,[],[f1173,f131]) ).
fof(f131,plain,
( member(sK3(sK11,sK9),sK9)
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl12_7
<=> member(sK3(sK11,sK9),sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f1173,plain,
( ~ member(sK3(sK11,sK9),sK9)
| apply(sK11,sK3(sK11,sK9),sK2(sK11,sK9))
| ~ apply(sK8,sK3(sK11,sK9),sK2(sK11,sK9))
| ~ spl12_2
| spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_17 ),
inference(resolution,[],[f1168,f266]) ).
fof(f266,plain,
( ! [X0] :
( ~ apply(sK10,X0,sK2(sK11,sK9))
| ~ member(X0,sK9)
| ~ apply(sK8,X0,sK2(sK11,sK9))
| apply(sK11,X0,sK2(sK11,sK9)) )
| ~ spl12_5 ),
inference(resolution,[],[f121,f66]) ).
fof(f66,plain,
! [X4,X5] :
( ~ member(X5,sK9)
| ~ apply(sK8,X4,X5)
| apply(sK11,X4,X5)
| ~ member(X4,sK9)
| ~ apply(sK10,X4,X5) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( equivalence(sK8,sK9)
& ~ equivalence(sK11,sK9)
& equivalence(sK10,sK9)
& ! [X4,X5] :
( ( ( apply(sK11,X4,X5)
| ~ apply(sK10,X4,X5)
| ~ apply(sK8,X4,X5) )
& ( ( apply(sK10,X4,X5)
& apply(sK8,X4,X5) )
| ~ apply(sK11,X4,X5) ) )
| ~ member(X5,sK9)
| ~ member(X4,sK9) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11])],[f41,f42]) ).
fof(f42,plain,
( ? [X0,X1,X2,X3] :
( equivalence(X0,X1)
& ~ equivalence(X3,X1)
& equivalence(X2,X1)
& ! [X4,X5] :
( ( ( apply(X3,X4,X5)
| ~ apply(X2,X4,X5)
| ~ apply(X0,X4,X5) )
& ( ( apply(X2,X4,X5)
& apply(X0,X4,X5) )
| ~ apply(X3,X4,X5) ) )
| ~ member(X5,X1)
| ~ member(X4,X1) ) )
=> ( equivalence(sK8,sK9)
& ~ equivalence(sK11,sK9)
& equivalence(sK10,sK9)
& ! [X5,X4] :
( ( ( apply(sK11,X4,X5)
| ~ apply(sK10,X4,X5)
| ~ apply(sK8,X4,X5) )
& ( ( apply(sK10,X4,X5)
& apply(sK8,X4,X5) )
| ~ apply(sK11,X4,X5) ) )
| ~ member(X5,sK9)
| ~ member(X4,sK9) ) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
? [X0,X1,X2,X3] :
( equivalence(X0,X1)
& ~ equivalence(X3,X1)
& equivalence(X2,X1)
& ! [X4,X5] :
( ( ( apply(X3,X4,X5)
| ~ apply(X2,X4,X5)
| ~ apply(X0,X4,X5) )
& ( ( apply(X2,X4,X5)
& apply(X0,X4,X5) )
| ~ apply(X3,X4,X5) ) )
| ~ member(X5,X1)
| ~ member(X4,X1) ) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
? [X2,X3,X0,X1] :
( equivalence(X2,X3)
& ~ equivalence(X1,X3)
& equivalence(X0,X3)
& ! [X4,X5] :
( ( ( apply(X1,X4,X5)
| ~ apply(X0,X4,X5)
| ~ apply(X2,X4,X5) )
& ( ( apply(X0,X4,X5)
& apply(X2,X4,X5) )
| ~ apply(X1,X4,X5) ) )
| ~ member(X5,X3)
| ~ member(X4,X3) ) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
? [X2,X3,X0,X1] :
( equivalence(X2,X3)
& ~ equivalence(X1,X3)
& equivalence(X0,X3)
& ! [X4,X5] :
( ( ( apply(X1,X4,X5)
| ~ apply(X0,X4,X5)
| ~ apply(X2,X4,X5) )
& ( ( apply(X0,X4,X5)
& apply(X2,X4,X5) )
| ~ apply(X1,X4,X5) ) )
| ~ member(X5,X3)
| ~ member(X4,X3) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
? [X2,X3,X0,X1] :
( equivalence(X2,X3)
& ~ equivalence(X1,X3)
& equivalence(X0,X3)
& ! [X4,X5] :
( ( apply(X1,X4,X5)
<=> ( apply(X0,X4,X5)
& apply(X2,X4,X5) ) )
| ~ member(X5,X3)
| ~ member(X4,X3) ) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
? [X1,X0,X2,X3] :
( ~ equivalence(X1,X3)
& ! [X5,X4] :
( ( apply(X1,X4,X5)
<=> ( apply(X0,X4,X5)
& apply(X2,X4,X5) ) )
| ~ member(X5,X3)
| ~ member(X4,X3) )
& equivalence(X0,X3)
& equivalence(X2,X3) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X1,X0,X2,X3] :
( ( ! [X5,X4] :
( ( member(X5,X3)
& member(X4,X3) )
=> ( apply(X1,X4,X5)
<=> ( apply(X0,X4,X5)
& apply(X2,X4,X5) ) ) )
& equivalence(X0,X3)
& equivalence(X2,X3) )
=> equivalence(X1,X3) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X7,X6,X8,X3] :
( ( equivalence(X7,X3)
& ! [X0,X1] :
( ( member(X1,X3)
& member(X0,X3) )
=> ( apply(X6,X0,X1)
<=> ( apply(X7,X0,X1)
& apply(X8,X0,X1) ) ) )
& equivalence(X8,X3) )
=> equivalence(X6,X3) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X7,X6,X8,X3] :
( ( equivalence(X7,X3)
& ! [X0,X1] :
( ( member(X1,X3)
& member(X0,X3) )
=> ( apply(X6,X0,X1)
<=> ( apply(X7,X0,X1)
& apply(X8,X0,X1) ) ) )
& equivalence(X8,X3) )
=> equivalence(X6,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII09) ).
fof(f121,plain,
( member(sK2(sK11,sK9),sK9)
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f119,plain,
( spl12_5
<=> member(sK2(sK11,sK9),sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f1168,plain,
( apply(sK10,sK3(sK11,sK9),sK2(sK11,sK9))
| ~ spl12_2
| spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_17 ),
inference(subsumption_resolution,[],[f1163,f121]) ).
fof(f1163,plain,
( apply(sK10,sK3(sK11,sK9),sK2(sK11,sK9))
| ~ member(sK2(sK11,sK9),sK9)
| ~ spl12_2
| spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_17 ),
inference(resolution,[],[f1160,f990]) ).
fof(f990,plain,
( ! [X2] :
( ~ apply(sK10,X2,sK3(sK11,sK9))
| ~ member(X2,sK9)
| apply(sK10,sK3(sK11,sK9),X2) )
| ~ spl12_7
| ~ spl12_17 ),
inference(resolution,[],[f967,f242]) ).
fof(f242,plain,
( sP1(sK10,sK9)
| ~ spl12_17 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f241,plain,
( spl12_17
<=> sP1(sK10,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_17])]) ).
fof(f967,plain,
( ! [X6,X7] :
( ~ sP1(X6,sK9)
| ~ member(X7,sK9)
| apply(X6,sK3(sK11,sK9),X7)
| ~ apply(X6,X7,sK3(sK11,sK9)) )
| ~ spl12_7 ),
inference(resolution,[],[f131,f46]) ).
fof(f46,plain,
! [X0,X1,X6,X5] :
( ~ member(X6,X1)
| ~ sP1(X0,X1)
| apply(X0,X6,X5)
| ~ member(X5,X1)
| ~ apply(X0,X5,X6) ),
inference(cnf_transformation,[],[f33]) ).
fof(f1160,plain,
( apply(sK10,sK2(sK11,sK9),sK3(sK11,sK9))
| ~ spl12_2
| spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10 ),
inference(subsumption_resolution,[],[f1157,f131]) ).
fof(f1157,plain,
( ~ member(sK3(sK11,sK9),sK9)
| apply(sK10,sK2(sK11,sK9),sK3(sK11,sK9))
| ~ spl12_2
| spl12_3
| ~ spl12_5
| ~ spl12_10 ),
inference(resolution,[],[f1156,f267]) ).
fof(f267,plain,
( ! [X1] :
( ~ apply(sK11,sK2(sK11,sK9),X1)
| apply(sK10,sK2(sK11,sK9),X1)
| ~ member(X1,sK9) )
| ~ spl12_5 ),
inference(resolution,[],[f121,f65]) ).
fof(f65,plain,
! [X4,X5] :
( ~ member(X4,sK9)
| ~ member(X5,sK9)
| ~ apply(sK11,X4,X5)
| apply(sK10,X4,X5) ),
inference(cnf_transformation,[],[f43]) ).
fof(f1156,plain,
( apply(sK11,sK2(sK11,sK9),sK3(sK11,sK9))
| ~ spl12_2
| spl12_3
| ~ spl12_10 ),
inference(subsumption_resolution,[],[f1155,f110]) ).
fof(f1155,plain,
( apply(sK11,sK2(sK11,sK9),sK3(sK11,sK9))
| sP1(sK11,sK9)
| ~ spl12_2
| ~ spl12_10 ),
inference(subsumption_resolution,[],[f1154,f104]) ).
fof(f1154,plain,
( ~ sP0(sK9,sK11)
| apply(sK11,sK2(sK11,sK9),sK3(sK11,sK9))
| sP1(sK11,sK9)
| ~ spl12_10 ),
inference(resolution,[],[f50,f174]) ).
fof(f50,plain,
! [X0,X1] :
( ~ apply(X0,sK4(X0,X1),sK4(X0,X1))
| sP1(X0,X1)
| ~ sP0(X1,X0)
| apply(X0,sK2(X0,X1),sK3(X0,X1)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f1187,plain,
( apply(sK8,sK3(sK11,sK9),sK2(sK11,sK9))
| ~ spl12_2
| spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_24 ),
inference(subsumption_resolution,[],[f1182,f121]) ).
fof(f1182,plain,
( ~ member(sK2(sK11,sK9),sK9)
| apply(sK8,sK3(sK11,sK9),sK2(sK11,sK9))
| ~ spl12_2
| spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_24 ),
inference(resolution,[],[f1180,f991]) ).
fof(f991,plain,
( ! [X3] :
( ~ apply(sK8,X3,sK3(sK11,sK9))
| ~ member(X3,sK9)
| apply(sK8,sK3(sK11,sK9),X3) )
| ~ spl12_7
| ~ spl12_24 ),
inference(resolution,[],[f967,f394]) ).
fof(f394,plain,
( sP1(sK8,sK9)
| ~ spl12_24 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f392,plain,
( spl12_24
<=> sP1(sK8,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_24])]) ).
fof(f1180,plain,
( apply(sK8,sK2(sK11,sK9),sK3(sK11,sK9))
| ~ spl12_2
| spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10 ),
inference(subsumption_resolution,[],[f1158,f121]) ).
fof(f1158,plain,
( ~ member(sK2(sK11,sK9),sK9)
| apply(sK8,sK2(sK11,sK9),sK3(sK11,sK9))
| ~ spl12_2
| spl12_3
| ~ spl12_7
| ~ spl12_10 ),
inference(resolution,[],[f1156,f965]) ).
fof(f965,plain,
( ! [X2] :
( ~ apply(sK11,X2,sK3(sK11,sK9))
| ~ member(X2,sK9)
| apply(sK8,X2,sK3(sK11,sK9)) )
| ~ spl12_7 ),
inference(resolution,[],[f131,f64]) ).
fof(f64,plain,
! [X4,X5] :
( ~ member(X5,sK9)
| ~ member(X4,sK9)
| apply(sK8,X4,X5)
| ~ apply(sK11,X4,X5) ),
inference(cnf_transformation,[],[f43]) ).
fof(f941,plain,
( spl12_7
| ~ spl12_2
| spl12_3
| ~ spl12_10 ),
inference(avatar_split_clause,[],[f940,f172,f108,f102,f129]) ).
fof(f940,plain,
( member(sK3(sK11,sK9),sK9)
| ~ spl12_2
| spl12_3
| ~ spl12_10 ),
inference(subsumption_resolution,[],[f939,f104]) ).
fof(f939,plain,
( ~ sP0(sK9,sK11)
| member(sK3(sK11,sK9),sK9)
| spl12_3
| ~ spl12_10 ),
inference(subsumption_resolution,[],[f930,f110]) ).
fof(f930,plain,
( member(sK3(sK11,sK9),sK9)
| sP1(sK11,sK9)
| ~ sP0(sK9,sK11)
| ~ spl12_10 ),
inference(resolution,[],[f174,f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ apply(X0,sK4(X0,X1),sK4(X0,X1))
| member(sK3(X0,X1),X1)
| sP1(X0,X1)
| ~ sP0(X1,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f903,plain,
( spl12_2
| ~ spl12_9
| ~ spl12_24
| ~ spl12_36
| ~ spl12_37
| ~ spl12_42 ),
inference(avatar_split_clause,[],[f900,f821,f696,f692,f392,f145,f102]) ).
fof(f145,plain,
( spl12_9
<=> member(sK5(sK9,sK11),sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f692,plain,
( spl12_36
<=> apply(sK10,sK5(sK9,sK11),sK7(sK9,sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_36])]) ).
fof(f696,plain,
( spl12_37
<=> member(sK7(sK9,sK11),sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_37])]) ).
fof(f821,plain,
( spl12_42
<=> apply(sK8,sK7(sK9,sK11),sK5(sK9,sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_42])]) ).
fof(f900,plain,
( sP0(sK9,sK11)
| ~ spl12_9
| ~ spl12_24
| ~ spl12_36
| ~ spl12_37
| ~ spl12_42 ),
inference(resolution,[],[f890,f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ apply(X1,sK5(X0,X1),sK7(X0,X1))
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( member(sK7(X0,X1),X0)
& apply(X1,sK6(X0,X1),sK7(X0,X1))
& ~ apply(X1,sK5(X0,X1),sK7(X0,X1))
& apply(X1,sK5(X0,X1),sK6(X0,X1))
& member(sK5(X0,X1),X0)
& member(sK6(X0,X1),X0) ) )
& ( ! [X5,X6,X7] :
( ~ member(X7,X0)
| ~ apply(X1,X6,X7)
| apply(X1,X5,X7)
| ~ apply(X1,X5,X6)
| ~ member(X5,X0)
| ~ member(X6,X0) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f35,f36]) ).
fof(f36,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( member(X4,X0)
& apply(X1,X3,X4)
& ~ apply(X1,X2,X4)
& apply(X1,X2,X3)
& member(X2,X0)
& member(X3,X0) )
=> ( member(sK7(X0,X1),X0)
& apply(X1,sK6(X0,X1),sK7(X0,X1))
& ~ apply(X1,sK5(X0,X1),sK7(X0,X1))
& apply(X1,sK5(X0,X1),sK6(X0,X1))
& member(sK5(X0,X1),X0)
& member(sK6(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2,X3,X4] :
( member(X4,X0)
& apply(X1,X3,X4)
& ~ apply(X1,X2,X4)
& apply(X1,X2,X3)
& member(X2,X0)
& member(X3,X0) ) )
& ( ! [X5,X6,X7] :
( ~ member(X7,X0)
| ~ apply(X1,X6,X7)
| apply(X1,X5,X7)
| ~ apply(X1,X5,X6)
| ~ member(X5,X0)
| ~ member(X6,X0) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X5,X4,X6] :
( member(X6,X0)
& apply(X1,X4,X6)
& ~ apply(X1,X5,X6)
& apply(X1,X5,X4)
& member(X5,X0)
& member(X4,X0) ) )
& ( ! [X5,X4,X6] :
( ~ member(X6,X0)
| ~ apply(X1,X4,X6)
| apply(X1,X5,X6)
| ~ apply(X1,X5,X4)
| ~ member(X5,X0)
| ~ member(X4,X0) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ! [X5,X4,X6] :
( ~ member(X6,X0)
| ~ apply(X1,X4,X6)
| apply(X1,X5,X6)
| ~ apply(X1,X5,X4)
| ~ member(X5,X0)
| ~ member(X4,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f890,plain,
( apply(sK11,sK5(sK9,sK11),sK7(sK9,sK11))
| ~ spl12_9
| ~ spl12_24
| ~ spl12_36
| ~ spl12_37
| ~ spl12_42 ),
inference(subsumption_resolution,[],[f889,f146]) ).
fof(f146,plain,
( member(sK5(sK9,sK11),sK9)
| ~ spl12_9 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f889,plain,
( ~ member(sK5(sK9,sK11),sK9)
| apply(sK11,sK5(sK9,sK11),sK7(sK9,sK11))
| ~ spl12_9
| ~ spl12_24
| ~ spl12_36
| ~ spl12_37
| ~ spl12_42 ),
inference(subsumption_resolution,[],[f888,f694]) ).
fof(f694,plain,
( apply(sK10,sK5(sK9,sK11),sK7(sK9,sK11))
| ~ spl12_36 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f888,plain,
( ~ apply(sK10,sK5(sK9,sK11),sK7(sK9,sK11))
| apply(sK11,sK5(sK9,sK11),sK7(sK9,sK11))
| ~ member(sK5(sK9,sK11),sK9)
| ~ spl12_9
| ~ spl12_24
| ~ spl12_37
| ~ spl12_42 ),
inference(resolution,[],[f868,f716]) ).
fof(f716,plain,
( ! [X0] :
( ~ apply(sK8,X0,sK7(sK9,sK11))
| ~ apply(sK10,X0,sK7(sK9,sK11))
| apply(sK11,X0,sK7(sK9,sK11))
| ~ member(X0,sK9) )
| ~ spl12_37 ),
inference(resolution,[],[f697,f66]) ).
fof(f697,plain,
( member(sK7(sK9,sK11),sK9)
| ~ spl12_37 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f868,plain,
( apply(sK8,sK5(sK9,sK11),sK7(sK9,sK11))
| ~ spl12_9
| ~ spl12_24
| ~ spl12_37
| ~ spl12_42 ),
inference(subsumption_resolution,[],[f867,f394]) ).
fof(f867,plain,
( apply(sK8,sK5(sK9,sK11),sK7(sK9,sK11))
| ~ sP1(sK8,sK9)
| ~ spl12_9
| ~ spl12_37
| ~ spl12_42 ),
inference(subsumption_resolution,[],[f865,f697]) ).
fof(f865,plain,
( apply(sK8,sK5(sK9,sK11),sK7(sK9,sK11))
| ~ member(sK7(sK9,sK11),sK9)
| ~ sP1(sK8,sK9)
| ~ spl12_9
| ~ spl12_42 ),
inference(resolution,[],[f822,f561]) ).
fof(f561,plain,
( ! [X6,X7] :
( ~ apply(X6,X7,sK5(sK9,sK11))
| ~ member(X7,sK9)
| apply(X6,sK5(sK9,sK11),X7)
| ~ sP1(X6,sK9) )
| ~ spl12_9 ),
inference(resolution,[],[f146,f46]) ).
fof(f822,plain,
( apply(sK8,sK7(sK9,sK11),sK5(sK9,sK11))
| ~ spl12_42 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f862,plain,
( spl12_42
| spl12_2
| ~ spl12_9
| ~ spl12_13
| ~ spl12_22
| ~ spl12_24
| ~ spl12_34
| ~ spl12_37 ),
inference(avatar_split_clause,[],[f861,f696,f666,f392,f371,f199,f145,f102,f821]) ).
fof(f199,plain,
( spl12_13
<=> member(sK6(sK9,sK11),sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).
fof(f371,plain,
( spl12_22
<=> sP0(sK9,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_22])]) ).
fof(f666,plain,
( spl12_34
<=> apply(sK8,sK6(sK9,sK11),sK5(sK9,sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_34])]) ).
fof(f861,plain,
( apply(sK8,sK7(sK9,sK11),sK5(sK9,sK11))
| spl12_2
| ~ spl12_9
| ~ spl12_13
| ~ spl12_22
| ~ spl12_24
| ~ spl12_34
| ~ spl12_37 ),
inference(subsumption_resolution,[],[f852,f697]) ).
fof(f852,plain,
( apply(sK8,sK7(sK9,sK11),sK5(sK9,sK11))
| ~ member(sK7(sK9,sK11),sK9)
| spl12_2
| ~ spl12_9
| ~ spl12_13
| ~ spl12_22
| ~ spl12_24
| ~ spl12_34
| ~ spl12_37 ),
inference(resolution,[],[f815,f735]) ).
fof(f735,plain,
( ! [X0] :
( ~ apply(sK8,X0,sK6(sK9,sK11))
| ~ member(X0,sK9)
| apply(sK8,X0,sK5(sK9,sK11)) )
| ~ spl12_9
| ~ spl12_13
| ~ spl12_22
| ~ spl12_34 ),
inference(subsumption_resolution,[],[f730,f146]) ).
fof(f730,plain,
( ! [X0] :
( ~ apply(sK8,X0,sK6(sK9,sK11))
| apply(sK8,X0,sK5(sK9,sK11))
| ~ member(X0,sK9)
| ~ member(sK5(sK9,sK11),sK9) )
| ~ spl12_13
| ~ spl12_22
| ~ spl12_34 ),
inference(resolution,[],[f667,f646]) ).
fof(f646,plain,
( ! [X0,X1] :
( ~ apply(sK8,sK6(sK9,sK11),X0)
| ~ member(X1,sK9)
| apply(sK8,X1,X0)
| ~ member(X0,sK9)
| ~ apply(sK8,X1,sK6(sK9,sK11)) )
| ~ spl12_13
| ~ spl12_22 ),
inference(resolution,[],[f571,f372]) ).
fof(f372,plain,
( sP0(sK9,sK8)
| ~ spl12_22 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f571,plain,
( ! [X3,X4,X5] :
( ~ sP0(sK9,X3)
| ~ apply(X3,sK6(sK9,sK11),X4)
| ~ apply(X3,X5,sK6(sK9,sK11))
| ~ member(X4,sK9)
| ~ member(X5,sK9)
| apply(X3,X5,X4) )
| ~ spl12_13 ),
inference(resolution,[],[f200,f55]) ).
fof(f55,plain,
! [X0,X1,X6,X7,X5] :
( ~ member(X6,X0)
| ~ sP0(X0,X1)
| ~ member(X7,X0)
| ~ member(X5,X0)
| ~ apply(X1,X5,X6)
| ~ apply(X1,X6,X7)
| apply(X1,X5,X7) ),
inference(cnf_transformation,[],[f37]) ).
fof(f200,plain,
( member(sK6(sK9,sK11),sK9)
| ~ spl12_13 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f667,plain,
( apply(sK8,sK6(sK9,sK11),sK5(sK9,sK11))
| ~ spl12_34 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f815,plain,
( apply(sK8,sK7(sK9,sK11),sK6(sK9,sK11))
| spl12_2
| ~ spl12_13
| ~ spl12_24
| ~ spl12_37 ),
inference(subsumption_resolution,[],[f812,f200]) ).
fof(f812,plain,
( apply(sK8,sK7(sK9,sK11),sK6(sK9,sK11))
| ~ member(sK6(sK9,sK11),sK9)
| spl12_2
| ~ spl12_13
| ~ spl12_24
| ~ spl12_37 ),
inference(resolution,[],[f767,f753]) ).
fof(f753,plain,
( apply(sK8,sK6(sK9,sK11),sK7(sK9,sK11))
| spl12_2
| ~ spl12_13
| ~ spl12_37 ),
inference(subsumption_resolution,[],[f752,f200]) ).
fof(f752,plain,
( ~ member(sK6(sK9,sK11),sK9)
| apply(sK8,sK6(sK9,sK11),sK7(sK9,sK11))
| spl12_2
| ~ spl12_37 ),
inference(subsumption_resolution,[],[f749,f103]) ).
fof(f103,plain,
( ~ sP0(sK9,sK11)
| spl12_2 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f749,plain,
( apply(sK8,sK6(sK9,sK11),sK7(sK9,sK11))
| sP0(sK9,sK11)
| ~ member(sK6(sK9,sK11),sK9)
| ~ spl12_37 ),
inference(resolution,[],[f718,f60]) ).
fof(f60,plain,
! [X0,X1] :
( apply(X1,sK6(X0,X1),sK7(X0,X1))
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f718,plain,
( ! [X2] :
( ~ apply(sK11,X2,sK7(sK9,sK11))
| ~ member(X2,sK9)
| apply(sK8,X2,sK7(sK9,sK11)) )
| ~ spl12_37 ),
inference(resolution,[],[f697,f64]) ).
fof(f767,plain,
( ! [X3] :
( ~ apply(sK8,X3,sK7(sK9,sK11))
| apply(sK8,sK7(sK9,sK11),X3)
| ~ member(X3,sK9) )
| ~ spl12_24
| ~ spl12_37 ),
inference(resolution,[],[f720,f394]) ).
fof(f720,plain,
( ! [X6,X7] :
( ~ sP1(X6,sK9)
| apply(X6,sK7(sK9,sK11),X7)
| ~ member(X7,sK9)
| ~ apply(X6,X7,sK7(sK9,sK11)) )
| ~ spl12_37 ),
inference(resolution,[],[f697,f46]) ).
fof(f729,plain,
( ~ spl12_8
| ~ spl12_9
| ~ spl12_13
| ~ spl12_24
| spl12_34 ),
inference(avatar_contradiction_clause,[],[f728]) ).
fof(f728,plain,
( $false
| ~ spl12_8
| ~ spl12_9
| ~ spl12_13
| ~ spl12_24
| spl12_34 ),
inference(subsumption_resolution,[],[f727,f668]) ).
fof(f668,plain,
( ~ apply(sK8,sK6(sK9,sK11),sK5(sK9,sK11))
| spl12_34 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f727,plain,
( apply(sK8,sK6(sK9,sK11),sK5(sK9,sK11))
| ~ spl12_8
| ~ spl12_9
| ~ spl12_13
| ~ spl12_24 ),
inference(subsumption_resolution,[],[f723,f146]) ).
fof(f723,plain,
( ~ member(sK5(sK9,sK11),sK9)
| apply(sK8,sK6(sK9,sK11),sK5(sK9,sK11))
| ~ spl12_8
| ~ spl12_13
| ~ spl12_24 ),
inference(resolution,[],[f610,f143]) ).
fof(f143,plain,
( apply(sK8,sK5(sK9,sK11),sK6(sK9,sK11))
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl12_8
<=> apply(sK8,sK5(sK9,sK11),sK6(sK9,sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f610,plain,
( ! [X3] :
( ~ apply(sK8,X3,sK6(sK9,sK11))
| ~ member(X3,sK9)
| apply(sK8,sK6(sK9,sK11),X3) )
| ~ spl12_13
| ~ spl12_24 ),
inference(resolution,[],[f572,f394]) ).
fof(f572,plain,
( ! [X6,X7] :
( ~ sP1(X6,sK9)
| ~ apply(X6,X7,sK6(sK9,sK11))
| ~ member(X7,sK9)
| apply(X6,sK6(sK9,sK11),X7) )
| ~ spl12_13 ),
inference(resolution,[],[f200,f46]) ).
fof(f702,plain,
( spl12_2
| spl12_37 ),
inference(avatar_contradiction_clause,[],[f701]) ).
fof(f701,plain,
( $false
| spl12_2
| spl12_37 ),
inference(subsumption_resolution,[],[f700,f103]) ).
fof(f700,plain,
( sP0(sK9,sK11)
| spl12_37 ),
inference(resolution,[],[f698,f61]) ).
fof(f61,plain,
! [X0,X1] :
( member(sK7(X0,X1),X0)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f698,plain,
( ~ member(sK7(sK9,sK11),sK9)
| spl12_37 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f699,plain,
( spl12_36
| ~ spl12_37
| ~ spl12_1
| ~ spl12_9
| ~ spl12_12
| ~ spl12_13
| ~ spl12_17 ),
inference(avatar_split_clause,[],[f685,f241,f199,f195,f145,f98,f696,f692]) ).
fof(f98,plain,
( spl12_1
<=> apply(sK10,sK6(sK9,sK11),sK7(sK9,sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f195,plain,
( spl12_12
<=> apply(sK10,sK5(sK9,sK11),sK6(sK9,sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).
fof(f685,plain,
( ~ member(sK7(sK9,sK11),sK9)
| apply(sK10,sK5(sK9,sK11),sK7(sK9,sK11))
| ~ spl12_1
| ~ spl12_9
| ~ spl12_12
| ~ spl12_13
| ~ spl12_17 ),
inference(resolution,[],[f682,f100]) ).
fof(f100,plain,
( apply(sK10,sK6(sK9,sK11),sK7(sK9,sK11))
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f682,plain,
( ! [X0] :
( ~ apply(sK10,sK6(sK9,sK11),X0)
| apply(sK10,sK5(sK9,sK11),X0)
| ~ member(X0,sK9) )
| ~ spl12_9
| ~ spl12_12
| ~ spl12_13
| ~ spl12_17 ),
inference(subsumption_resolution,[],[f677,f146]) ).
fof(f677,plain,
( ! [X0] :
( ~ apply(sK10,sK6(sK9,sK11),X0)
| ~ member(X0,sK9)
| ~ member(sK5(sK9,sK11),sK9)
| apply(sK10,sK5(sK9,sK11),X0) )
| ~ spl12_12
| ~ spl12_13
| ~ spl12_17 ),
inference(resolution,[],[f647,f197]) ).
fof(f197,plain,
( apply(sK10,sK5(sK9,sK11),sK6(sK9,sK11))
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f647,plain,
( ! [X2,X3] :
( ~ apply(sK10,X3,sK6(sK9,sK11))
| apply(sK10,X3,X2)
| ~ member(X2,sK9)
| ~ apply(sK10,sK6(sK9,sK11),X2)
| ~ member(X3,sK9) )
| ~ spl12_13
| ~ spl12_17 ),
inference(resolution,[],[f571,f303]) ).
fof(f303,plain,
( sP0(sK9,sK10)
| ~ spl12_17 ),
inference(resolution,[],[f242,f45]) ).
fof(f45,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f555,plain,
( ~ spl12_2
| spl12_3
| ~ spl12_5
| spl12_6
| ~ spl12_7
| ~ spl12_17 ),
inference(avatar_contradiction_clause,[],[f554]) ).
fof(f554,plain,
( $false
| ~ spl12_2
| spl12_3
| ~ spl12_5
| spl12_6
| ~ spl12_7
| ~ spl12_17 ),
inference(subsumption_resolution,[],[f553,f124]) ).
fof(f124,plain,
( ~ member(sK4(sK11,sK9),sK9)
| spl12_6 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f123,plain,
( spl12_6
<=> member(sK4(sK11,sK9),sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f553,plain,
( member(sK4(sK11,sK9),sK9)
| ~ spl12_2
| spl12_3
| ~ spl12_5
| spl12_6
| ~ spl12_7
| ~ spl12_17 ),
inference(subsumption_resolution,[],[f552,f110]) ).
fof(f552,plain,
( sP1(sK11,sK9)
| member(sK4(sK11,sK9),sK9)
| ~ spl12_2
| spl12_3
| ~ spl12_5
| spl12_6
| ~ spl12_7
| ~ spl12_17 ),
inference(subsumption_resolution,[],[f551,f104]) ).
fof(f551,plain,
( ~ sP0(sK9,sK11)
| member(sK4(sK11,sK9),sK9)
| sP1(sK11,sK9)
| ~ spl12_2
| spl12_3
| ~ spl12_5
| spl12_6
| ~ spl12_7
| ~ spl12_17 ),
inference(resolution,[],[f53,f431]) ).
fof(f431,plain,
( apply(sK11,sK3(sK11,sK9),sK2(sK11,sK9))
| ~ spl12_2
| spl12_3
| ~ spl12_5
| spl12_6
| ~ spl12_7
| ~ spl12_17 ),
inference(subsumption_resolution,[],[f430,f131]) ).
fof(f430,plain,
( ~ member(sK3(sK11,sK9),sK9)
| apply(sK11,sK3(sK11,sK9),sK2(sK11,sK9))
| ~ spl12_2
| spl12_3
| ~ spl12_5
| spl12_6
| ~ spl12_7
| ~ spl12_17 ),
inference(subsumption_resolution,[],[f427,f368]) ).
fof(f368,plain,
( apply(sK8,sK3(sK11,sK9),sK2(sK11,sK9))
| ~ spl12_2
| spl12_3
| ~ spl12_5
| spl12_6
| ~ spl12_7 ),
inference(subsumption_resolution,[],[f367,f69]) ).
fof(f69,plain,
equivalence(sK8,sK9),
inference(cnf_transformation,[],[f43]) ).
fof(f367,plain,
( apply(sK8,sK3(sK11,sK9),sK2(sK11,sK9))
| ~ equivalence(sK8,sK9)
| ~ spl12_2
| spl12_3
| ~ spl12_5
| spl12_6
| ~ spl12_7 ),
inference(subsumption_resolution,[],[f366,f121]) ).
fof(f366,plain,
( ~ member(sK2(sK11,sK9),sK9)
| apply(sK8,sK3(sK11,sK9),sK2(sK11,sK9))
| ~ equivalence(sK8,sK9)
| ~ spl12_2
| spl12_3
| ~ spl12_5
| spl12_6
| ~ spl12_7 ),
inference(resolution,[],[f361,f283]) ).
fof(f283,plain,
( ! [X0,X1] :
( ~ apply(X1,X0,sK3(sK11,sK9))
| ~ equivalence(X1,sK9)
| apply(X1,sK3(sK11,sK9),X0)
| ~ member(X0,sK9) )
| ~ spl12_7 ),
inference(resolution,[],[f276,f63]) ).
fof(f63,plain,
! [X0,X1] :
( sP1(X1,X0)
| ~ equivalence(X1,X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ( sP1(X1,X0)
| ~ equivalence(X1,X0) )
& ( equivalence(X1,X0)
| ~ sP1(X1,X0) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( sP1(X1,X0)
<=> equivalence(X1,X0) ),
inference(definition_folding,[],[f22,f26,f25]) ).
fof(f22,plain,
! [X0,X1] :
( ( ! [X2,X3] :
( apply(X1,X3,X2)
| ~ member(X3,X0)
| ~ apply(X1,X2,X3)
| ~ member(X2,X0) )
& ! [X5,X4,X6] :
( ~ member(X6,X0)
| ~ apply(X1,X4,X6)
| apply(X1,X5,X6)
| ~ apply(X1,X5,X4)
| ~ member(X5,X0)
| ~ member(X4,X0) )
& ! [X7] :
( apply(X1,X7,X7)
| ~ member(X7,X0) ) )
<=> equivalence(X1,X0) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( equivalence(X1,X0)
<=> ( ! [X4,X6,X5] :
( apply(X1,X5,X6)
| ~ apply(X1,X5,X4)
| ~ apply(X1,X4,X6)
| ~ member(X5,X0)
| ~ member(X4,X0)
| ~ member(X6,X0) )
& ! [X3,X2] :
( apply(X1,X3,X2)
| ~ apply(X1,X2,X3)
| ~ member(X2,X0)
| ~ member(X3,X0) )
& ! [X7] :
( apply(X1,X7,X7)
| ~ member(X7,X0) ) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( equivalence(X1,X0)
<=> ( ! [X4,X6,X5] :
( ( member(X5,X0)
& member(X4,X0)
& member(X6,X0) )
=> ( ( apply(X1,X5,X4)
& apply(X1,X4,X6) )
=> apply(X1,X5,X6) ) )
& ! [X3,X2] :
( ( member(X2,X0)
& member(X3,X0) )
=> ( apply(X1,X2,X3)
=> apply(X1,X3,X2) ) )
& ! [X7] :
( member(X7,X0)
=> apply(X1,X7,X7) ) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X0,X6] :
( ( ! [X2,X4] :
( ( member(X2,X0)
& member(X4,X0) )
=> ( apply(X6,X2,X4)
=> apply(X6,X4,X2) ) )
& ! [X4,X2,X5] :
( ( member(X2,X0)
& member(X5,X0)
& member(X4,X0) )
=> ( ( apply(X6,X4,X5)
& apply(X6,X2,X4) )
=> apply(X6,X2,X5) ) )
& ! [X2] :
( member(X2,X0)
=> apply(X6,X2,X2) ) )
<=> equivalence(X6,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalence) ).
fof(f276,plain,
( ! [X6,X7] :
( ~ sP1(X6,sK9)
| ~ member(X7,sK9)
| apply(X6,sK3(sK11,sK9),X7)
| ~ apply(X6,X7,sK3(sK11,sK9)) )
| ~ spl12_7 ),
inference(resolution,[],[f131,f46]) ).
fof(f361,plain,
( apply(sK8,sK2(sK11,sK9),sK3(sK11,sK9))
| ~ spl12_2
| spl12_3
| ~ spl12_5
| spl12_6
| ~ spl12_7 ),
inference(subsumption_resolution,[],[f358,f121]) ).
fof(f358,plain,
( ~ member(sK2(sK11,sK9),sK9)
| apply(sK8,sK2(sK11,sK9),sK3(sK11,sK9))
| ~ spl12_2
| spl12_3
| spl12_6
| ~ spl12_7 ),
inference(resolution,[],[f356,f274]) ).
fof(f274,plain,
( ! [X2] :
( ~ apply(sK11,X2,sK3(sK11,sK9))
| apply(sK8,X2,sK3(sK11,sK9))
| ~ member(X2,sK9) )
| ~ spl12_7 ),
inference(resolution,[],[f131,f64]) ).
fof(f356,plain,
( apply(sK11,sK2(sK11,sK9),sK3(sK11,sK9))
| ~ spl12_2
| spl12_3
| spl12_6 ),
inference(subsumption_resolution,[],[f355,f124]) ).
fof(f355,plain,
( member(sK4(sK11,sK9),sK9)
| apply(sK11,sK2(sK11,sK9),sK3(sK11,sK9))
| ~ spl12_2
| spl12_3 ),
inference(subsumption_resolution,[],[f353,f110]) ).
fof(f353,plain,
( sP1(sK11,sK9)
| member(sK4(sK11,sK9),sK9)
| apply(sK11,sK2(sK11,sK9),sK3(sK11,sK9))
| ~ spl12_2 ),
inference(resolution,[],[f49,f104]) ).
fof(f49,plain,
! [X0,X1] :
( ~ sP0(X1,X0)
| sP1(X0,X1)
| apply(X0,sK2(X0,X1),sK3(X0,X1))
| member(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f427,plain,
( apply(sK11,sK3(sK11,sK9),sK2(sK11,sK9))
| ~ apply(sK8,sK3(sK11,sK9),sK2(sK11,sK9))
| ~ member(sK3(sK11,sK9),sK9)
| ~ spl12_2
| spl12_3
| ~ spl12_5
| spl12_6
| ~ spl12_7
| ~ spl12_17 ),
inference(resolution,[],[f387,f266]) ).
fof(f387,plain,
( apply(sK10,sK3(sK11,sK9),sK2(sK11,sK9))
| ~ spl12_2
| spl12_3
| ~ spl12_5
| spl12_6
| ~ spl12_7
| ~ spl12_17 ),
inference(subsumption_resolution,[],[f381,f121]) ).
fof(f381,plain,
( ~ member(sK2(sK11,sK9),sK9)
| apply(sK10,sK3(sK11,sK9),sK2(sK11,sK9))
| ~ spl12_2
| spl12_3
| ~ spl12_5
| spl12_6
| ~ spl12_7
| ~ spl12_17 ),
inference(resolution,[],[f362,f300]) ).
fof(f300,plain,
( ! [X0] :
( ~ apply(sK10,X0,sK3(sK11,sK9))
| apply(sK10,sK3(sK11,sK9),X0)
| ~ member(X0,sK9) )
| ~ spl12_7
| ~ spl12_17 ),
inference(resolution,[],[f242,f276]) ).
fof(f362,plain,
( apply(sK10,sK2(sK11,sK9),sK3(sK11,sK9))
| ~ spl12_2
| spl12_3
| ~ spl12_5
| spl12_6
| ~ spl12_7 ),
inference(subsumption_resolution,[],[f357,f131]) ).
fof(f357,plain,
( ~ member(sK3(sK11,sK9),sK9)
| apply(sK10,sK2(sK11,sK9),sK3(sK11,sK9))
| ~ spl12_2
| spl12_3
| ~ spl12_5
| spl12_6 ),
inference(resolution,[],[f356,f267]) ).
fof(f53,plain,
! [X0,X1] :
( ~ apply(X0,sK3(X0,X1),sK2(X0,X1))
| ~ sP0(X1,X0)
| sP1(X0,X1)
| member(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f526,plain,
spl12_24,
inference(avatar_contradiction_clause,[],[f525]) ).
fof(f525,plain,
( $false
| spl12_24 ),
inference(subsumption_resolution,[],[f524,f69]) ).
fof(f524,plain,
( ~ equivalence(sK8,sK9)
| spl12_24 ),
inference(resolution,[],[f393,f63]) ).
fof(f393,plain,
( ~ sP1(sK8,sK9)
| spl12_24 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f380,plain,
spl12_22,
inference(avatar_contradiction_clause,[],[f379]) ).
fof(f379,plain,
( $false
| spl12_22 ),
inference(subsumption_resolution,[],[f378,f69]) ).
fof(f378,plain,
( ~ equivalence(sK8,sK9)
| spl12_22 ),
inference(resolution,[],[f373,f71]) ).
fof(f71,plain,
! [X2,X3] :
( sP0(X3,X2)
| ~ equivalence(X2,X3) ),
inference(resolution,[],[f63,f45]) ).
fof(f373,plain,
( ~ sP0(sK9,sK8)
| spl12_22 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f299,plain,
spl12_17,
inference(avatar_contradiction_clause,[],[f298]) ).
fof(f298,plain,
( $false
| spl12_17 ),
inference(subsumption_resolution,[],[f297,f67]) ).
fof(f67,plain,
equivalence(sK10,sK9),
inference(cnf_transformation,[],[f43]) ).
fof(f297,plain,
( ~ equivalence(sK10,sK9)
| spl12_17 ),
inference(resolution,[],[f243,f63]) ).
fof(f243,plain,
( ~ sP1(sK10,sK9)
| spl12_17 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f264,plain,
~ spl12_3,
inference(avatar_contradiction_clause,[],[f263]) ).
fof(f263,plain,
( $false
| ~ spl12_3 ),
inference(subsumption_resolution,[],[f261,f68]) ).
fof(f68,plain,
~ equivalence(sK11,sK9),
inference(cnf_transformation,[],[f43]) ).
fof(f261,plain,
( equivalence(sK11,sK9)
| ~ spl12_3 ),
inference(resolution,[],[f109,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ sP1(X1,X0)
| equivalence(X1,X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f109,plain,
( sP1(sK11,sK9)
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f258,plain,
( spl12_5
| ~ spl12_2
| spl12_3
| ~ spl12_10 ),
inference(avatar_split_clause,[],[f257,f172,f108,f102,f119]) ).
fof(f257,plain,
( member(sK2(sK11,sK9),sK9)
| ~ spl12_2
| spl12_3
| ~ spl12_10 ),
inference(subsumption_resolution,[],[f256,f110]) ).
fof(f256,plain,
( member(sK2(sK11,sK9),sK9)
| sP1(sK11,sK9)
| ~ spl12_2
| ~ spl12_10 ),
inference(subsumption_resolution,[],[f252,f104]) ).
fof(f252,plain,
( member(sK2(sK11,sK9),sK9)
| ~ sP0(sK9,sK11)
| sP1(sK11,sK9)
| ~ spl12_10 ),
inference(resolution,[],[f174,f48]) ).
fof(f48,plain,
! [X0,X1] :
( ~ apply(X0,sK4(X0,X1),sK4(X0,X1))
| ~ sP0(X1,X0)
| member(sK2(X0,X1),X1)
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f221,plain,
( spl12_2
| spl12_13 ),
inference(avatar_split_clause,[],[f206,f199,f102]) ).
fof(f206,plain,
( sP0(sK9,sK11)
| spl12_13 ),
inference(resolution,[],[f201,f56]) ).
fof(f56,plain,
! [X0,X1] :
( member(sK6(X0,X1),X0)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f201,plain,
( ~ member(sK6(sK9,sK11),sK9)
| spl12_13 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f202,plain,
( spl12_12
| ~ spl12_13
| spl12_2
| ~ spl12_9 ),
inference(avatar_split_clause,[],[f193,f145,f102,f199,f195]) ).
fof(f193,plain,
( ~ member(sK6(sK9,sK11),sK9)
| apply(sK10,sK5(sK9,sK11),sK6(sK9,sK11))
| spl12_2
| ~ spl12_9 ),
inference(subsumption_resolution,[],[f191,f103]) ).
fof(f191,plain,
( apply(sK10,sK5(sK9,sK11),sK6(sK9,sK11))
| ~ member(sK6(sK9,sK11),sK9)
| sP0(sK9,sK11)
| ~ spl12_9 ),
inference(resolution,[],[f185,f58]) ).
fof(f58,plain,
! [X0,X1] :
( apply(X1,sK5(X0,X1),sK6(X0,X1))
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f185,plain,
( ! [X1] :
( ~ apply(sK11,sK5(sK9,sK11),X1)
| apply(sK10,sK5(sK9,sK11),X1)
| ~ member(X1,sK9) )
| ~ spl12_9 ),
inference(resolution,[],[f146,f65]) ).
fof(f182,plain,
( ~ spl12_6
| spl12_11 ),
inference(avatar_contradiction_clause,[],[f181]) ).
fof(f181,plain,
( $false
| ~ spl12_6
| spl12_11 ),
inference(subsumption_resolution,[],[f180,f69]) ).
fof(f180,plain,
( ~ equivalence(sK8,sK9)
| ~ spl12_6
| spl12_11 ),
inference(resolution,[],[f178,f160]) ).
fof(f160,plain,
( ! [X0] :
( apply(X0,sK4(sK11,sK9),sK4(sK11,sK9))
| ~ equivalence(X0,sK9) )
| ~ spl12_6 ),
inference(resolution,[],[f159,f63]) ).
fof(f159,plain,
( ! [X8] :
( ~ sP1(X8,sK9)
| apply(X8,sK4(sK11,sK9),sK4(sK11,sK9)) )
| ~ spl12_6 ),
inference(resolution,[],[f125,f44]) ).
fof(f44,plain,
! [X0,X1,X7] :
( ~ member(X7,X1)
| apply(X0,X7,X7)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f125,plain,
( member(sK4(sK11,sK9),sK9)
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f178,plain,
( ~ apply(sK8,sK4(sK11,sK9),sK4(sK11,sK9))
| spl12_11 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f176,plain,
( spl12_11
<=> apply(sK8,sK4(sK11,sK9),sK4(sK11,sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f179,plain,
( spl12_10
| ~ spl12_11
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f170,f123,f176,f172]) ).
fof(f170,plain,
( ~ apply(sK8,sK4(sK11,sK9),sK4(sK11,sK9))
| apply(sK11,sK4(sK11,sK9),sK4(sK11,sK9))
| ~ spl12_6 ),
inference(subsumption_resolution,[],[f169,f67]) ).
fof(f169,plain,
( apply(sK11,sK4(sK11,sK9),sK4(sK11,sK9))
| ~ equivalence(sK10,sK9)
| ~ apply(sK8,sK4(sK11,sK9),sK4(sK11,sK9))
| ~ spl12_6 ),
inference(subsumption_resolution,[],[f168,f125]) ).
fof(f168,plain,
( ~ apply(sK8,sK4(sK11,sK9),sK4(sK11,sK9))
| ~ member(sK4(sK11,sK9),sK9)
| ~ equivalence(sK10,sK9)
| apply(sK11,sK4(sK11,sK9),sK4(sK11,sK9))
| ~ spl12_6 ),
inference(resolution,[],[f154,f160]) ).
fof(f154,plain,
( ! [X0] :
( ~ apply(sK10,X0,sK4(sK11,sK9))
| ~ apply(sK8,X0,sK4(sK11,sK9))
| ~ member(X0,sK9)
| apply(sK11,X0,sK4(sK11,sK9)) )
| ~ spl12_6 ),
inference(resolution,[],[f125,f66]) ).
fof(f151,plain,
( spl12_2
| spl12_9 ),
inference(avatar_contradiction_clause,[],[f150]) ).
fof(f150,plain,
( $false
| spl12_2
| spl12_9 ),
inference(subsumption_resolution,[],[f149,f103]) ).
fof(f149,plain,
( sP0(sK9,sK11)
| spl12_9 ),
inference(resolution,[],[f147,f57]) ).
fof(f57,plain,
! [X0,X1] :
( member(sK5(X0,X1),X0)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f147,plain,
( ~ member(sK5(sK9,sK11),sK9)
| spl12_9 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f148,plain,
( spl12_8
| ~ spl12_9
| spl12_2 ),
inference(avatar_split_clause,[],[f139,f102,f145,f141]) ).
fof(f139,plain,
( ~ member(sK5(sK9,sK11),sK9)
| apply(sK8,sK5(sK9,sK11),sK6(sK9,sK11))
| spl12_2 ),
inference(subsumption_resolution,[],[f137,f103]) ).
fof(f137,plain,
( sP0(sK9,sK11)
| ~ member(sK5(sK9,sK11),sK9)
| apply(sK8,sK5(sK9,sK11),sK6(sK9,sK11)) ),
inference(duplicate_literal_removal,[],[f135]) ).
fof(f135,plain,
( sP0(sK9,sK11)
| ~ member(sK5(sK9,sK11),sK9)
| sP0(sK9,sK11)
| apply(sK8,sK5(sK9,sK11),sK6(sK9,sK11)) ),
inference(resolution,[],[f77,f58]) ).
fof(f77,plain,
! [X16,X17] :
( ~ apply(sK11,X17,sK6(sK9,X16))
| ~ member(X17,sK9)
| apply(sK8,X17,sK6(sK9,X16))
| sP0(sK9,X16) ),
inference(resolution,[],[f56,f64]) ).
fof(f132,plain,
( spl12_6
| spl12_7
| ~ spl12_2
| spl12_3 ),
inference(avatar_split_clause,[],[f127,f108,f102,f129,f123]) ).
fof(f127,plain,
( member(sK3(sK11,sK9),sK9)
| member(sK4(sK11,sK9),sK9)
| ~ spl12_2
| spl12_3 ),
inference(subsumption_resolution,[],[f115,f110]) ).
fof(f115,plain,
( sP1(sK11,sK9)
| member(sK4(sK11,sK9),sK9)
| member(sK3(sK11,sK9),sK9)
| ~ spl12_2 ),
inference(resolution,[],[f104,f51]) ).
fof(f51,plain,
! [X0,X1] :
( ~ sP0(X1,X0)
| member(sK3(X0,X1),X1)
| member(sK4(X0,X1),X1)
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f126,plain,
( spl12_5
| spl12_6
| ~ spl12_2
| spl12_3 ),
inference(avatar_split_clause,[],[f117,f108,f102,f123,f119]) ).
fof(f117,plain,
( member(sK4(sK11,sK9),sK9)
| member(sK2(sK11,sK9),sK9)
| ~ spl12_2
| spl12_3 ),
inference(subsumption_resolution,[],[f116,f110]) ).
fof(f116,plain,
( member(sK4(sK11,sK9),sK9)
| member(sK2(sK11,sK9),sK9)
| sP1(sK11,sK9)
| ~ spl12_2 ),
inference(resolution,[],[f104,f47]) ).
fof(f47,plain,
! [X0,X1] :
( ~ sP0(X1,X0)
| member(sK4(X0,X1),X1)
| sP1(X0,X1)
| member(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f105,plain,
( spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f96,f102,f98]) ).
fof(f96,plain,
( sP0(sK9,sK11)
| apply(sK10,sK6(sK9,sK11),sK7(sK9,sK11)) ),
inference(subsumption_resolution,[],[f95,f61]) ).
fof(f95,plain,
( ~ member(sK7(sK9,sK11),sK9)
| sP0(sK9,sK11)
| apply(sK10,sK6(sK9,sK11),sK7(sK9,sK11)) ),
inference(duplicate_literal_removal,[],[f92]) ).
fof(f92,plain,
( apply(sK10,sK6(sK9,sK11),sK7(sK9,sK11))
| sP0(sK9,sK11)
| ~ member(sK7(sK9,sK11),sK9)
| sP0(sK9,sK11) ),
inference(resolution,[],[f76,f60]) ).
fof(f76,plain,
! [X14,X15] :
( ~ apply(sK11,sK6(sK9,X14),X15)
| ~ member(X15,sK9)
| sP0(sK9,X14)
| apply(sK10,sK6(sK9,X14),X15) ),
inference(resolution,[],[f56,f65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET773+4 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 30 14:19:19 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.51 % (22650)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.21/0.51 % (22660)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.21/0.51 % (22642)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.52 % (22644)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (22636)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.52 % (22650)Instruction limit reached!
% 0.21/0.52 % (22650)------------------------------
% 0.21/0.52 % (22650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (22650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (22650)Termination reason: Unknown
% 0.21/0.52 % (22650)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (22650)Memory used [KB]: 6140
% 0.21/0.52 % (22650)Time elapsed: 0.098 s
% 0.21/0.52 % (22650)Instructions burned: 12 (million)
% 0.21/0.52 % (22650)------------------------------
% 0.21/0.52 % (22650)------------------------------
% 0.21/0.52 % (22644)Refutation not found, incomplete strategy% (22644)------------------------------
% 0.21/0.52 % (22644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (22642)Refutation not found, incomplete strategy% (22642)------------------------------
% 0.21/0.52 % (22642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (22642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (22642)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52
% 0.21/0.52 % (22642)Memory used [KB]: 6012
% 0.21/0.52 % (22642)Time elapsed: 0.103 s
% 0.21/0.52 % (22642)Instructions burned: 2 (million)
% 0.21/0.52 % (22642)------------------------------
% 0.21/0.52 % (22642)------------------------------
% 0.21/0.53 % (22634)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (22644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (22644)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53
% 0.21/0.53 % (22644)Memory used [KB]: 6012
% 0.21/0.53 % (22644)Time elapsed: 0.058 s
% 0.21/0.53 % (22644)Instructions burned: 3 (million)
% 0.21/0.53 % (22644)------------------------------
% 0.21/0.53 % (22644)------------------------------
% 0.21/0.53 % (22658)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.53 % (22639)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.53 % (22652)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.53 % (22639)Refutation not found, incomplete strategy% (22639)------------------------------
% 0.21/0.53 % (22639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (22639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (22639)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53
% 0.21/0.53 % (22639)Memory used [KB]: 6012
% 0.21/0.53 % (22639)Time elapsed: 0.109 s
% 0.21/0.53 % (22639)Instructions burned: 6 (million)
% 0.21/0.53 % (22639)------------------------------
% 0.21/0.53 % (22639)------------------------------
% 0.21/0.53 % (22637)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.53 % (22636)Instruction limit reached!
% 0.21/0.53 % (22636)------------------------------
% 0.21/0.53 % (22636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (22636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (22636)Termination reason: Unknown
% 0.21/0.53 % (22636)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (22636)Memory used [KB]: 1535
% 0.21/0.53 % (22636)Time elapsed: 0.084 s
% 0.21/0.53 % (22636)Instructions burned: 15 (million)
% 0.21/0.53 % (22636)------------------------------
% 0.21/0.53 % (22636)------------------------------
% 0.21/0.54 % (22640)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.54 % (22654)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.21/0.54 % (22654)Refutation not found, incomplete strategy% (22654)------------------------------
% 0.21/0.54 % (22654)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (22654)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (22654)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54
% 0.21/0.54 % (22654)Memory used [KB]: 1535
% 0.21/0.54 % (22654)Time elapsed: 0.108 s
% 0.21/0.54 % (22654)Instructions burned: 3 (million)
% 0.21/0.54 % (22654)------------------------------
% 0.21/0.54 % (22654)------------------------------
% 0.21/0.54 % (22646)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.54 % (22631)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.54 % (22659)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.54 % (22635)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.55 % (22646)Instruction limit reached!
% 0.21/0.55 % (22646)------------------------------
% 0.21/0.55 % (22646)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (22638)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.55 % (22634)Refutation not found, incomplete strategy% (22634)------------------------------
% 0.21/0.55 % (22634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (22634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (22634)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.55
% 0.21/0.55 % (22634)Memory used [KB]: 6012
% 0.21/0.55 % (22634)Time elapsed: 0.124 s
% 0.21/0.55 % (22634)Instructions burned: 2 (million)
% 0.21/0.55 % (22634)------------------------------
% 0.21/0.55 % (22634)------------------------------
% 0.21/0.55 % (22633)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.55 % (22646)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (22646)Termination reason: Unknown
% 0.21/0.55 % (22646)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (22646)Memory used [KB]: 6140
% 0.21/0.55 % (22646)Time elapsed: 0.122 s
% 0.21/0.55 % (22646)Instructions burned: 8 (million)
% 0.21/0.55 % (22646)------------------------------
% 0.21/0.55 % (22646)------------------------------
% 0.21/0.55 % (22660)Instruction limit reached!
% 0.21/0.55 % (22660)------------------------------
% 0.21/0.55 % (22660)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (22660)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (22660)Termination reason: Unknown
% 0.21/0.55 % (22660)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (22660)Memory used [KB]: 6140
% 0.21/0.55 % (22660)Time elapsed: 0.075 s
% 0.21/0.55 % (22660)Instructions burned: 24 (million)
% 0.21/0.55 % (22660)------------------------------
% 0.21/0.55 % (22660)------------------------------
% 0.21/0.55 % (22633)Instruction limit reached!
% 0.21/0.55 % (22633)------------------------------
% 0.21/0.55 % (22633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (22633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (22633)Termination reason: Unknown
% 0.21/0.55 % (22633)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (22633)Memory used [KB]: 1535
% 0.21/0.55 % (22633)Time elapsed: 0.003 s
% 0.21/0.55 % (22633)Instructions burned: 3 (million)
% 0.21/0.55 % (22633)------------------------------
% 0.21/0.55 % (22633)------------------------------
% 0.21/0.55 % (22648)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.55 % (22651)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.21/0.55 % (22648)Instruction limit reached!
% 0.21/0.55 % (22648)------------------------------
% 0.21/0.55 % (22648)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (22648)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (22648)Termination reason: Unknown
% 0.21/0.55 % (22648)Termination phase: Property scanning
% 0.21/0.55
% 0.21/0.55 % (22648)Memory used [KB]: 1535
% 0.21/0.55 % (22648)Time elapsed: 0.002 s
% 0.21/0.55 % (22648)Instructions burned: 3 (million)
% 0.21/0.55 % (22648)------------------------------
% 0.21/0.55 % (22648)------------------------------
% 0.21/0.55 % (22632)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.55 % (22653)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.21/0.55 % (22656)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.21/0.56 % (22649)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.56 % (22649)Instruction limit reached!
% 0.21/0.56 % (22649)------------------------------
% 0.21/0.56 % (22649)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (22649)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (22649)Termination reason: Unknown
% 0.21/0.56 % (22649)Termination phase: Preprocessing 3
% 0.21/0.56
% 0.21/0.56 % (22649)Memory used [KB]: 1407
% 0.21/0.56 % (22649)Time elapsed: 0.002 s
% 0.21/0.56 % (22649)Instructions burned: 2 (million)
% 0.21/0.56 % (22649)------------------------------
% 0.21/0.56 % (22649)------------------------------
% 0.21/0.56 % (22640)Refutation not found, incomplete strategy% (22640)------------------------------
% 0.21/0.56 % (22640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (22640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (22640)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.56
% 0.21/0.56 % (22640)Memory used [KB]: 6012
% 0.21/0.56 % (22640)Time elapsed: 0.112 s
% 0.21/0.56 % (22640)Instructions burned: 3 (million)
% 0.21/0.56 % (22640)------------------------------
% 0.21/0.56 % (22640)------------------------------
% 0.21/0.56 % (22643)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.56 % (22655)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.56 % (22658)Instruction limit reached!
% 0.21/0.56 % (22658)------------------------------
% 0.21/0.56 % (22658)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (22658)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (22658)Termination reason: Unknown
% 0.21/0.56 % (22658)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (22658)Memory used [KB]: 6396
% 0.21/0.56 % (22658)Time elapsed: 0.138 s
% 0.21/0.56 % (22658)Instructions burned: 25 (million)
% 0.21/0.56 % (22658)------------------------------
% 0.21/0.56 % (22658)------------------------------
% 0.21/0.56 % (22647)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.56 % (22641)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.21/0.57 % (22657)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.57 % (22645)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.57 % (22659)Instruction limit reached!
% 0.21/0.57 % (22659)------------------------------
% 0.21/0.57 % (22659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (22659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (22659)Termination reason: Unknown
% 0.21/0.57 % (22659)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (22659)Memory used [KB]: 6140
% 0.21/0.57 % (22659)Time elapsed: 0.130 s
% 0.21/0.57 % (22659)Instructions burned: 9 (million)
% 0.21/0.57 % (22659)------------------------------
% 0.21/0.57 % (22659)------------------------------
% 0.21/0.57 % (22645)Instruction limit reached!
% 0.21/0.57 % (22645)------------------------------
% 0.21/0.57 % (22645)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (22645)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (22645)Termination reason: Unknown
% 0.21/0.57 % (22645)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (22645)Memory used [KB]: 6012
% 0.21/0.57 % (22645)Time elapsed: 0.003 s
% 0.21/0.57 % (22645)Instructions burned: 3 (million)
% 0.21/0.57 % (22645)------------------------------
% 0.21/0.57 % (22645)------------------------------
% 0.21/0.58 % (22641)Instruction limit reached!
% 0.21/0.58 % (22641)------------------------------
% 0.21/0.58 % (22641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (22641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (22641)Termination reason: Unknown
% 0.21/0.58 % (22641)Termination phase: Saturation
% 0.21/0.58
% 0.21/0.58 % (22641)Memory used [KB]: 6140
% 0.21/0.58 % (22641)Time elapsed: 0.155 s
% 0.21/0.58 % (22641)Instructions burned: 13 (million)
% 0.21/0.58 % (22641)------------------------------
% 0.21/0.58 % (22641)------------------------------
% 0.21/0.58 % (22635)Instruction limit reached!
% 0.21/0.58 % (22635)------------------------------
% 0.21/0.58 % (22635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (22635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (22635)Termination reason: Unknown
% 0.21/0.58 % (22635)Termination phase: Saturation
% 0.21/0.58
% 0.21/0.58 % (22635)Memory used [KB]: 6140
% 0.21/0.58 % (22635)Time elapsed: 0.131 s
% 0.21/0.58 % (22635)Instructions burned: 13 (million)
% 0.21/0.58 % (22635)------------------------------
% 0.21/0.58 % (22635)------------------------------
% 0.21/0.58 % (22643)Instruction limit reached!
% 0.21/0.58 % (22643)------------------------------
% 0.21/0.58 % (22643)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (22643)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (22643)Termination reason: Unknown
% 0.21/0.58 % (22643)Termination phase: Saturation
% 0.21/0.58
% 0.21/0.58 % (22643)Memory used [KB]: 1791
% 0.21/0.58 % (22643)Time elapsed: 0.170 s
% 0.21/0.58 % (22643)Instructions burned: 18 (million)
% 0.21/0.58 % (22643)------------------------------
% 0.21/0.58 % (22643)------------------------------
% 0.21/0.58 % (22632)Instruction limit reached!
% 0.21/0.58 % (22632)------------------------------
% 0.21/0.58 % (22632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59 % (22632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59 % (22632)Termination reason: Unknown
% 0.21/0.59 % (22632)Termination phase: Saturation
% 0.21/0.59
% 0.21/0.59 % (22632)Memory used [KB]: 6268
% 0.21/0.59 % (22632)Time elapsed: 0.169 s
% 0.21/0.59 % (22632)Instructions burned: 13 (million)
% 0.21/0.59 % (22632)------------------------------
% 0.21/0.59 % (22632)------------------------------
% 0.21/0.60 % (22651)Instruction limit reached!
% 0.21/0.60 % (22651)------------------------------
% 0.21/0.60 % (22651)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60 % (22651)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60 % (22651)Termination reason: Unknown
% 0.21/0.60 % (22651)Termination phase: Saturation
% 0.21/0.60
% 0.21/0.60 % (22651)Memory used [KB]: 6268
% 0.21/0.60 % (22651)Time elapsed: 0.181 s
% 0.21/0.60 % (22651)Instructions burned: 32 (million)
% 0.21/0.60 % (22651)------------------------------
% 0.21/0.60 % (22651)------------------------------
% 0.21/0.60 % (22637)Instruction limit reached!
% 0.21/0.60 % (22637)------------------------------
% 0.21/0.60 % (22637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.62 % (22637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.62 % (22637)Termination reason: Unknown
% 1.78/0.62 % (22637)Termination phase: Saturation
% 1.78/0.62
% 1.78/0.62 % (22637)Memory used [KB]: 6268
% 1.78/0.62 % (22637)Time elapsed: 0.185 s
% 1.78/0.62 % (22637)Instructions burned: 40 (million)
% 1.78/0.62 % (22637)------------------------------
% 1.78/0.62 % (22637)------------------------------
% 1.78/0.63 % (22638)Instruction limit reached!
% 1.78/0.63 % (22638)------------------------------
% 1.78/0.63 % (22638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.63 % (22638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.63 % (22638)Termination reason: Unknown
% 1.78/0.63 % (22638)Termination phase: Saturation
% 1.78/0.63
% 1.78/0.63 % (22638)Memory used [KB]: 6396
% 1.78/0.63 % (22638)Time elapsed: 0.204 s
% 1.78/0.63 % (22638)Instructions burned: 40 (million)
% 1.78/0.63 % (22638)------------------------------
% 1.78/0.63 % (22638)------------------------------
% 1.78/0.63 % (22656)First to succeed.
% 2.13/0.65 % (22656)Refutation found. Thanks to Tanya!
% 2.13/0.65 % SZS status Theorem for theBenchmark
% 2.13/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 2.13/0.65 % (22656)------------------------------
% 2.13/0.65 % (22656)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.65 % (22656)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.65 % (22656)Termination reason: Refutation
% 2.13/0.65
% 2.13/0.65 % (22656)Memory used [KB]: 6524
% 2.13/0.65 % (22656)Time elapsed: 0.217 s
% 2.13/0.65 % (22656)Instructions burned: 40 (million)
% 2.13/0.65 % (22656)------------------------------
% 2.13/0.65 % (22656)------------------------------
% 2.13/0.65 % (22630)Success in time 0.266 s
%------------------------------------------------------------------------------