TSTP Solution File: LCL642+1.001 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL642+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 07:37:08 EDT 2024
% Result : Theorem 0.68s 0.79s
% Output : Refutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 64
% Syntax : Number of formulae : 275 ( 4 unt; 0 def)
% Number of atoms : 2241 ( 0 equ)
% Maximal formula atoms : 107 ( 8 avg)
% Number of connectives : 3343 (1377 ~;1421 |; 488 &)
% ( 29 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 40 ( 39 usr; 30 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 5 con; 0-1 aty)
% Number of variables : 872 ( 664 !; 208 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1834,plain,
$false,
inference(avatar_sat_refutation,[],[f135,f139,f147,f152,f157,f265,f347,f365,f406,f411,f416,f578,f610,f701,f724,f778,f856,f874,f959,f1038,f1293,f1314,f1349,f1374,f1534,f1557,f1616,f1673,f1707,f1802]) ).
fof(f1802,plain,
( spl36_186
| spl36_45
| ~ spl36_237 ),
inference(avatar_split_clause,[],[f1801,f1704,f408,f1344]) ).
fof(f1344,plain,
( spl36_186
<=> ! [X1] :
( ~ r1(X1,sK20(sK26))
| ~ sP1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_186])]) ).
fof(f408,plain,
( spl36_45
<=> p2(sK20(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_45])]) ).
fof(f1704,plain,
( spl36_237
<=> p2(sK19(sK20(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_237])]) ).
fof(f1801,plain,
( ! [X0] :
( ~ r1(X0,sK20(sK26))
| ~ sP1(X0) )
| spl36_45
| ~ spl36_237 ),
inference(subsumption_resolution,[],[f1794,f410]) ).
fof(f410,plain,
( ~ p2(sK20(sK26))
| spl36_45 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f1794,plain,
( ! [X0] :
( p2(sK20(sK26))
| ~ r1(X0,sK20(sK26))
| ~ sP1(X0) )
| ~ spl36_237 ),
inference(resolution,[],[f1706,f96]) ).
fof(f96,plain,
! [X0,X1] :
( ~ p2(sK19(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ( ! [X1] :
( ( p2(sK18(X1))
& ~ p2(sK19(X1))
& r1(sK18(X1),sK19(X1))
& r1(X1,sK18(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
& ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK21(X0),X6) )
& ~ p2(sK21(X0))
& r1(sK20(X0),sK21(X0))
& r1(X0,sK20(X0)) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21])],[f39,f43,f42,f41,f40]) ).
fof(f40,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK18(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK18(X1),X3) )
& r1(X1,sK18(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK18(X1),X3) )
=> ( ~ p2(sK19(X1))
& r1(sK18(X1),sK19(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(X4,X5) )
& r1(X0,X4) )
=> ( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(sK20(X0),X5) )
& r1(X0,sK20(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(sK20(X0),X5) )
=> ( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK21(X0),X6) )
& ~ p2(sK21(X0))
& r1(sK20(X0),sK21(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X0] :
( ( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(X4,X5) )
& r1(X0,X4) ) )
| ~ sP1(X0) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X5] :
( ( ! [X28] :
( ? [X29] :
( p2(X29)
& ? [X30] :
( ~ p2(X30)
& r1(X29,X30) )
& r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
& ? [X31] :
( ? [X32] :
( ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
& ~ p2(X32)
& r1(X31,X32) )
& r1(X5,X31) ) )
| ~ sP1(X5) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X5] :
( ( ! [X28] :
( ? [X29] :
( p2(X29)
& ? [X30] :
( ~ p2(X30)
& r1(X29,X30) )
& r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
& ? [X31] :
( ? [X32] :
( ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
& ~ p2(X32)
& r1(X31,X32) )
& r1(X5,X31) ) )
| ~ sP1(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1706,plain,
( p2(sK19(sK20(sK26)))
| ~ spl36_237 ),
inference(avatar_component_clause,[],[f1704]) ).
fof(f1707,plain,
( spl36_186
| spl36_237
| spl36_45
| ~ spl36_187 ),
inference(avatar_split_clause,[],[f1702,f1347,f408,f1704,f1344]) ).
fof(f1347,plain,
( spl36_187
<=> ! [X0] :
( ~ r1(sK18(sK20(sK26)),X0)
| p2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_187])]) ).
fof(f1702,plain,
( ! [X0] :
( p2(sK19(sK20(sK26)))
| ~ r1(X0,sK20(sK26))
| ~ sP1(X0) )
| spl36_45
| ~ spl36_187 ),
inference(subsumption_resolution,[],[f1690,f410]) ).
fof(f1690,plain,
( ! [X0] :
( p2(sK19(sK20(sK26)))
| p2(sK20(sK26))
| ~ r1(X0,sK20(sK26))
| ~ sP1(X0) )
| ~ spl36_187 ),
inference(resolution,[],[f1348,f95]) ).
fof(f95,plain,
! [X0,X1] :
( r1(sK18(X1),sK19(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f1348,plain,
( ! [X0] :
( ~ r1(sK18(sK20(sK26)),X0)
| p2(X0) )
| ~ spl36_187 ),
inference(avatar_component_clause,[],[f1347]) ).
fof(f1673,plain,
( ~ spl36_4
| ~ spl36_44
| ~ spl36_186 ),
inference(avatar_contradiction_clause,[],[f1672]) ).
fof(f1672,plain,
( $false
| ~ spl36_4
| ~ spl36_44
| ~ spl36_186 ),
inference(subsumption_resolution,[],[f1671,f404]) ).
fof(f404,plain,
( r1(sK26,sK20(sK26))
| ~ spl36_44 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f403,plain,
( spl36_44
<=> r1(sK26,sK20(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_44])]) ).
fof(f1671,plain,
( ~ r1(sK26,sK20(sK26))
| ~ spl36_4
| ~ spl36_186 ),
inference(resolution,[],[f1345,f143]) ).
fof(f143,plain,
( sP1(sK26)
| ~ spl36_4 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl36_4
<=> sP1(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_4])]) ).
fof(f1345,plain,
( ! [X1] :
( ~ sP1(X1)
| ~ r1(X1,sK20(sK26)) )
| ~ spl36_186 ),
inference(avatar_component_clause,[],[f1344]) ).
fof(f1616,plain,
( spl36_19
| spl36_17
| ~ spl36_129 ),
inference(avatar_split_clause,[],[f1615,f956,f232,f243]) ).
fof(f243,plain,
( spl36_19
<=> ! [X2] :
( ~ r1(X2,sK21(sK26))
| ~ sP4(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_19])]) ).
fof(f232,plain,
( spl36_17
<=> p2(sK21(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_17])]) ).
fof(f956,plain,
( spl36_129
<=> p2(sK10(sK21(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_129])]) ).
fof(f1615,plain,
( ! [X0] :
( ~ r1(X0,sK21(sK26))
| ~ sP4(X0) )
| spl36_17
| ~ spl36_129 ),
inference(subsumption_resolution,[],[f1609,f233]) ).
fof(f233,plain,
( ~ p2(sK21(sK26))
| spl36_17 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f1609,plain,
( ! [X0] :
( p2(sK21(sK26))
| ~ r1(X0,sK21(sK26))
| ~ sP4(X0) )
| ~ spl36_129 ),
inference(resolution,[],[f958,f76]) ).
fof(f76,plain,
! [X0,X1] :
( ~ p2(sK10(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ! [X1] :
( ( ( ( p2(sK9(X1))
& ~ p2(sK10(X1))
& r1(sK9(X1),sK10(X1))
& r1(X1,sK9(X1)) )
| p2(X1) )
& ( ( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(sK11(X1),X5) )
& ~ p2(sK11(X1))
& r1(X1,sK11(X1)) )
| sP2(X1) ) )
| ~ r1(X0,X1) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f21,f24,f23,f22]) ).
fof(f22,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK9(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK9(X1),X3) )
& r1(X1,sK9(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK9(X1),X3) )
=> ( ~ p2(sK10(X1))
& r1(sK9(X1),sK10(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X1] :
( ? [X4] :
( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
& ~ p2(X4)
& r1(X1,X4) )
=> ( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(sK11(X1),X5) )
& ~ p2(sK11(X1))
& r1(X1,sK11(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0] :
( ! [X1] :
( ( ( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1) )
& ( ? [X4] :
( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
& ~ p2(X4)
& r1(X1,X4) )
| sP2(X1) ) )
| ~ r1(X0,X1) )
| ~ sP4(X0) ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X6] :
( ! [X16] :
( ( ( ? [X17] :
( p2(X17)
& ? [X18] :
( ~ p2(X18)
& r1(X17,X18) )
& r1(X16,X17) )
| p2(X16) )
& ( ? [X19] :
( ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
& ~ p2(X19)
& r1(X16,X19) )
| sP2(X16) ) )
| ~ r1(X6,X16) )
| ~ sP4(X6) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X6] :
( ! [X16] :
( ( ( ? [X17] :
( p2(X17)
& ? [X18] :
( ~ p2(X18)
& r1(X17,X18) )
& r1(X16,X17) )
| p2(X16) )
& ( ? [X19] :
( ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
& ~ p2(X19)
& r1(X16,X19) )
| sP2(X16) ) )
| ~ r1(X6,X16) )
| ~ sP4(X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f958,plain,
( p2(sK10(sK21(sK26)))
| ~ spl36_129 ),
inference(avatar_component_clause,[],[f956]) ).
fof(f1557,plain,
( spl36_188
| spl36_17
| ~ spl36_189 ),
inference(avatar_split_clause,[],[f1556,f1371,f232,f1368]) ).
fof(f1368,plain,
( spl36_188
<=> ! [X0] :
( ~ r1(X0,sK21(sK26))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_188])]) ).
fof(f1371,plain,
( spl36_189
<=> p2(sK13(sK21(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_189])]) ).
fof(f1556,plain,
( ! [X0] :
( ~ r1(X0,sK21(sK26))
| ~ sP3(X0) )
| spl36_17
| ~ spl36_189 ),
inference(subsumption_resolution,[],[f1549,f233]) ).
fof(f1549,plain,
( ! [X0] :
( p2(sK21(sK26))
| ~ r1(X0,sK21(sK26))
| ~ sP3(X0) )
| ~ spl36_189 ),
inference(resolution,[],[f1373,f84]) ).
fof(f84,plain,
! [X0,X1] :
( ~ p2(sK13(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ( ! [X1] :
( ( p2(sK12(X1))
& ~ p2(sK13(X1))
& r1(sK12(X1),sK13(X1))
& r1(X1,sK12(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
& ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK15(X0),X6) )
& ~ p2(sK15(X0))
& r1(sK14(X0),sK15(X0))
& r1(X0,sK14(X0)) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15])],[f27,f31,f30,f29,f28]) ).
fof(f28,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK12(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK12(X1),X3) )
& r1(X1,sK12(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK12(X1),X3) )
=> ( ~ p2(sK13(X1))
& r1(sK12(X1),sK13(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(X4,X5) )
& r1(X0,X4) )
=> ( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(sK14(X0),X5) )
& r1(X0,sK14(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X0] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(sK14(X0),X5) )
=> ( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK15(X0),X6) )
& ~ p2(sK15(X0))
& r1(sK14(X0),sK15(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X0] :
( ( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(X4,X5) )
& r1(X0,X4) ) )
| ~ sP3(X0) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X6] :
( ( ! [X9] :
( ? [X10] :
( p2(X10)
& ? [X11] :
( ~ p2(X11)
& r1(X10,X11) )
& r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
& ? [X12] :
( ? [X13] :
( ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
& ~ p2(X13)
& r1(X12,X13) )
& r1(X6,X12) ) )
| ~ sP3(X6) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X6] :
( ( ! [X9] :
( ? [X10] :
( p2(X10)
& ? [X11] :
( ~ p2(X11)
& r1(X10,X11) )
& r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
& ? [X12] :
( ? [X13] :
( ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
& ~ p2(X13)
& r1(X12,X13) )
& r1(X6,X12) ) )
| ~ sP3(X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1373,plain,
( p2(sK13(sK21(sK26)))
| ~ spl36_189 ),
inference(avatar_component_clause,[],[f1371]) ).
fof(f1534,plain,
( ~ spl36_42
| ~ spl36_180
| ~ spl36_188 ),
inference(avatar_contradiction_clause,[],[f1533]) ).
fof(f1533,plain,
( $false
| ~ spl36_42
| ~ spl36_180
| ~ spl36_188 ),
inference(subsumption_resolution,[],[f1531,f1286]) ).
fof(f1286,plain,
( r1(sK20(sK26),sK21(sK26))
| ~ spl36_180 ),
inference(avatar_component_clause,[],[f1285]) ).
fof(f1285,plain,
( spl36_180
<=> r1(sK20(sK26),sK21(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_180])]) ).
fof(f1531,plain,
( ~ r1(sK20(sK26),sK21(sK26))
| ~ spl36_42
| ~ spl36_188 ),
inference(resolution,[],[f1369,f398]) ).
fof(f398,plain,
( sP3(sK20(sK26))
| ~ spl36_42 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f396,plain,
( spl36_42
<=> sP3(sK20(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_42])]) ).
fof(f1369,plain,
( ! [X0] :
( ~ sP3(X0)
| ~ r1(X0,sK21(sK26)) )
| ~ spl36_188 ),
inference(avatar_component_clause,[],[f1368]) ).
fof(f1374,plain,
( spl36_188
| spl36_189
| spl36_17
| ~ spl36_181 ),
inference(avatar_split_clause,[],[f1366,f1289,f232,f1371,f1368]) ).
fof(f1289,plain,
( spl36_181
<=> ! [X0] :
( ~ r1(sK12(sK21(sK26)),X0)
| p2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_181])]) ).
fof(f1366,plain,
( ! [X0] :
( p2(sK13(sK21(sK26)))
| ~ r1(X0,sK21(sK26))
| ~ sP3(X0) )
| spl36_17
| ~ spl36_181 ),
inference(subsumption_resolution,[],[f1354,f233]) ).
fof(f1354,plain,
( ! [X0] :
( p2(sK13(sK21(sK26)))
| p2(sK21(sK26))
| ~ r1(X0,sK21(sK26))
| ~ sP3(X0) )
| ~ spl36_181 ),
inference(resolution,[],[f1290,f83]) ).
fof(f83,plain,
! [X0,X1] :
( r1(sK12(X1),sK13(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f1290,plain,
( ! [X0] :
( ~ r1(sK12(sK21(sK26)),X0)
| p2(X0) )
| ~ spl36_181 ),
inference(avatar_component_clause,[],[f1289]) ).
fof(f1349,plain,
( spl36_186
| spl36_187
| ~ spl36_4
| ~ spl36_43
| ~ spl36_44
| spl36_45 ),
inference(avatar_split_clause,[],[f1342,f408,f403,f400,f141,f1347,f1344]) ).
fof(f400,plain,
( spl36_43
<=> ! [X0,X1] :
( ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK20(sK26),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_43])]) ).
fof(f1342,plain,
( ! [X0,X1] :
( ~ r1(sK18(sK20(sK26)),X0)
| p2(X0)
| ~ r1(X1,sK20(sK26))
| ~ sP1(X1) )
| ~ spl36_4
| ~ spl36_43
| ~ spl36_44
| spl36_45 ),
inference(subsumption_resolution,[],[f1341,f404]) ).
fof(f1341,plain,
( ! [X0,X1] :
( ~ r1(sK18(sK20(sK26)),X0)
| p2(X0)
| ~ r1(X1,sK20(sK26))
| ~ sP1(X1)
| ~ r1(sK26,sK20(sK26)) )
| ~ spl36_4
| ~ spl36_43
| spl36_45 ),
inference(subsumption_resolution,[],[f1340,f410]) ).
fof(f1340,plain,
( ! [X0,X1] :
( ~ r1(sK18(sK20(sK26)),X0)
| p2(X0)
| p2(sK20(sK26))
| ~ r1(X1,sK20(sK26))
| ~ sP1(X1)
| ~ r1(sK26,sK20(sK26)) )
| ~ spl36_4
| ~ spl36_43 ),
inference(duplicate_literal_removal,[],[f1339]) ).
fof(f1339,plain,
( ! [X0,X1] :
( ~ r1(sK18(sK20(sK26)),X0)
| p2(X0)
| p2(sK20(sK26))
| ~ r1(X1,sK20(sK26))
| ~ sP1(X1)
| ~ r1(sK26,sK20(sK26))
| p2(sK20(sK26)) )
| ~ spl36_4
| ~ spl36_43 ),
inference(resolution,[],[f1323,f889]) ).
fof(f889,plain,
( ! [X0] :
( r1(X0,sK18(X0))
| ~ r1(sK26,X0)
| p2(X0) )
| ~ spl36_4 ),
inference(resolution,[],[f143,f94]) ).
fof(f94,plain,
! [X0,X1] :
( ~ sP1(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK18(X1)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f1323,plain,
( ! [X2,X0,X1] :
( ~ r1(sK20(sK26),sK18(X1))
| ~ r1(sK18(X1),X0)
| p2(X0)
| p2(X1)
| ~ r1(X2,X1)
| ~ sP1(X2) )
| ~ spl36_43 ),
inference(resolution,[],[f401,f97]) ).
fof(f97,plain,
! [X0,X1] :
( p2(sK18(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f401,plain,
( ! [X0,X1] :
( ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK20(sK26),X0) )
| ~ spl36_43 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f1314,plain,
( ~ spl36_4
| spl36_180 ),
inference(avatar_contradiction_clause,[],[f1313]) ).
fof(f1313,plain,
( $false
| ~ spl36_4
| spl36_180 ),
inference(subsumption_resolution,[],[f1312,f143]) ).
fof(f1312,plain,
( ~ sP1(sK26)
| spl36_180 ),
inference(resolution,[],[f1287,f91]) ).
fof(f91,plain,
! [X0] :
( r1(sK20(X0),sK21(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f1287,plain,
( ~ r1(sK20(sK26),sK21(sK26))
| spl36_180 ),
inference(avatar_component_clause,[],[f1285]) ).
fof(f1293,plain,
( ~ spl36_180
| spl36_181
| ~ spl36_4
| spl36_17
| ~ spl36_42 ),
inference(avatar_split_clause,[],[f1292,f396,f232,f141,f1289,f1285]) ).
fof(f1292,plain,
( ! [X0] :
( ~ r1(sK12(sK21(sK26)),X0)
| ~ r1(sK20(sK26),sK21(sK26))
| p2(X0) )
| ~ spl36_4
| spl36_17
| ~ spl36_42 ),
inference(subsumption_resolution,[],[f1278,f233]) ).
fof(f1278,plain,
( ! [X0] :
( p2(sK21(sK26))
| ~ r1(sK12(sK21(sK26)),X0)
| ~ r1(sK20(sK26),sK21(sK26))
| p2(X0) )
| ~ spl36_4
| ~ spl36_42 ),
inference(duplicate_literal_removal,[],[f1277]) ).
fof(f1277,plain,
( ! [X0] :
( p2(sK21(sK26))
| ~ r1(sK12(sK21(sK26)),X0)
| ~ r1(sK20(sK26),sK21(sK26))
| p2(X0)
| ~ r1(sK20(sK26),sK21(sK26))
| p2(sK21(sK26)) )
| ~ spl36_4
| ~ spl36_42 ),
inference(resolution,[],[f1058,f1043]) ).
fof(f1043,plain,
( ! [X0] :
( r1(X0,sK12(X0))
| ~ r1(sK20(sK26),X0)
| p2(X0) )
| ~ spl36_42 ),
inference(resolution,[],[f398,f82]) ).
fof(f82,plain,
! [X0,X1] :
( ~ sP3(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK12(X1)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f1058,plain,
( ! [X0,X1] :
( ~ r1(sK21(sK26),sK12(X0))
| p2(X0)
| ~ r1(sK12(X0),X1)
| ~ r1(sK20(sK26),X0)
| p2(X1) )
| ~ spl36_4
| ~ spl36_42 ),
inference(resolution,[],[f1044,f888]) ).
fof(f888,plain,
( ! [X0,X1] :
( ~ p2(X1)
| ~ r1(X1,X0)
| ~ r1(sK21(sK26),X1)
| p2(X0) )
| ~ spl36_4 ),
inference(resolution,[],[f143,f93]) ).
fof(f93,plain,
! [X0,X6,X7] :
( ~ sP1(X0)
| p2(X7)
| ~ r1(X6,X7)
| ~ r1(sK21(X0),X6)
| ~ p2(X6) ),
inference(cnf_transformation,[],[f44]) ).
fof(f1044,plain,
( ! [X0] :
( p2(sK12(X0))
| ~ r1(sK20(sK26),X0)
| p2(X0) )
| ~ spl36_42 ),
inference(resolution,[],[f398,f85]) ).
fof(f85,plain,
! [X0,X1] :
( ~ sP3(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK12(X1)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f1038,plain,
( spl36_19
| spl36_19
| spl36_20
| ~ spl36_4
| spl36_17 ),
inference(avatar_split_clause,[],[f1037,f232,f141,f246,f243,f243]) ).
fof(f246,plain,
( spl36_20
<=> ! [X0] :
( ~ r1(sK9(sK21(sK26)),X0)
| p2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_20])]) ).
fof(f1037,plain,
( ! [X2,X0,X1] :
( ~ r1(sK9(sK21(sK26)),X0)
| p2(X0)
| ~ r1(X1,sK21(sK26))
| ~ sP4(X1)
| ~ r1(X2,sK21(sK26))
| ~ sP4(X2) )
| ~ spl36_4
| spl36_17 ),
inference(subsumption_resolution,[],[f932,f233]) ).
fof(f932,plain,
( ! [X2,X0,X1] :
( ~ r1(sK9(sK21(sK26)),X0)
| p2(X0)
| p2(sK21(sK26))
| ~ r1(X1,sK21(sK26))
| ~ sP4(X1)
| ~ r1(X2,sK21(sK26))
| ~ sP4(X2) )
| ~ spl36_4 ),
inference(duplicate_literal_removal,[],[f931]) ).
fof(f931,plain,
( ! [X2,X0,X1] :
( ~ r1(sK9(sK21(sK26)),X0)
| p2(X0)
| p2(sK21(sK26))
| ~ r1(X1,sK21(sK26))
| ~ sP4(X1)
| p2(sK21(sK26))
| ~ r1(X2,sK21(sK26))
| ~ sP4(X2) )
| ~ spl36_4 ),
inference(resolution,[],[f916,f74]) ).
fof(f74,plain,
! [X0,X1] :
( r1(X1,sK9(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f916,plain,
( ! [X2,X0,X1] :
( ~ r1(sK21(sK26),sK9(X0))
| ~ r1(sK9(X0),X1)
| p2(X1)
| p2(X0)
| ~ r1(X2,X0)
| ~ sP4(X2) )
| ~ spl36_4 ),
inference(resolution,[],[f888,f77]) ).
fof(f77,plain,
! [X0,X1] :
( p2(sK9(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f959,plain,
( spl36_19
| spl36_129
| spl36_17
| ~ spl36_20 ),
inference(avatar_split_clause,[],[f954,f246,f232,f956,f243]) ).
fof(f954,plain,
( ! [X0] :
( p2(sK10(sK21(sK26)))
| ~ r1(X0,sK21(sK26))
| ~ sP4(X0) )
| spl36_17
| ~ spl36_20 ),
inference(subsumption_resolution,[],[f943,f233]) ).
fof(f943,plain,
( ! [X0] :
( p2(sK10(sK21(sK26)))
| p2(sK21(sK26))
| ~ r1(X0,sK21(sK26))
| ~ sP4(X0) )
| ~ spl36_20 ),
inference(resolution,[],[f247,f75]) ).
fof(f75,plain,
! [X0,X1] :
( r1(sK9(X1),sK10(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f247,plain,
( ! [X0] :
( ~ r1(sK9(sK21(sK26)),X0)
| p2(X0) )
| ~ spl36_20 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f874,plain,
( ~ spl36_22
| spl36_90
| ~ spl36_100 ),
inference(avatar_contradiction_clause,[],[f873]) ).
fof(f873,plain,
( $false
| ~ spl36_22
| spl36_90
| ~ spl36_100 ),
inference(subsumption_resolution,[],[f872,f260]) ).
fof(f260,plain,
( r1(sK24,sK8(sK24))
| ~ spl36_22 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f258,plain,
( spl36_22
<=> r1(sK24,sK8(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_22])]) ).
fof(f872,plain,
( ~ r1(sK24,sK8(sK24))
| spl36_90
| ~ spl36_100 ),
inference(subsumption_resolution,[],[f869,f719]) ).
fof(f719,plain,
( ~ p2(sK8(sK24))
| spl36_90 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f718,plain,
( spl36_90
<=> p2(sK8(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_90])]) ).
fof(f869,plain,
( p2(sK8(sK24))
| ~ r1(sK24,sK8(sK24))
| ~ spl36_100 ),
inference(resolution,[],[f777,f112]) ).
fof(f112,plain,
! [X15] :
( ~ p2(sK31(X15))
| p2(X15)
| ~ r1(sK24,X15) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( ! [X1] :
( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK25(X1),X3) )
& ~ p2(sK25(X1))
& r1(X1,sK25(X1)) )
| p2(X1)
| ~ r1(sK24,X1) )
& ( ( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP3(X6)
| sP4(X6)
| ~ r1(sK26,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(sK26,X9) )
& ~ p2(sK26) )
| sP1(sK26) )
& r1(sK24,sK26) )
| sP5(sK24) )
& ! [X11] :
( ( p1(sK27(X11))
& ~ p1(sK28(X11))
& r1(sK27(X11),sK28(X11))
& r1(X11,sK27(X11)) )
| p1(X11)
| ~ r1(sK24,X11) )
& ~ p1(sK29)
& r1(sK24,sK29)
& ! [X15] :
( ( p2(sK30(X15))
& ~ p2(sK31(X15))
& r1(sK30(X15),sK31(X15))
& r1(X15,sK30(X15)) )
| p2(X15)
| ~ r1(sK24,X15) )
& ~ p2(sK32)
& r1(sK24,sK32)
& ! [X19] :
( ( p3(sK33(X19))
& ~ p3(sK34(X19))
& r1(sK33(X19),sK34(X19))
& r1(X19,sK33(X19)) )
| p3(X19)
| ~ r1(sK24,X19) )
& ~ p3(sK35)
& r1(sK24,sK35) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35])],[f50,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51]) ).
fof(f51,plain,
( ? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP3(X6)
| sP4(X6)
| ~ r1(X5,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(X5,X9) )
& ~ p2(X5) )
| sP1(X5) )
& r1(X0,X5) )
| sP5(X0) )
& ! [X11] :
( ? [X12] :
( p1(X12)
& ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
& r1(X11,X12) )
| p1(X11)
| ~ r1(X0,X11) )
& ? [X14] :
( ~ p1(X14)
& r1(X0,X14) )
& ! [X15] :
( ? [X16] :
( p2(X16)
& ? [X17] :
( ~ p2(X17)
& r1(X16,X17) )
& r1(X15,X16) )
| p2(X15)
| ~ r1(X0,X15) )
& ? [X18] :
( ~ p2(X18)
& r1(X0,X18) )
& ! [X19] :
( ? [X20] :
( p3(X20)
& ? [X21] :
( ~ p3(X21)
& r1(X20,X21) )
& r1(X19,X20) )
| p3(X19)
| ~ r1(X0,X19) )
& ? [X22] :
( ~ p3(X22)
& r1(X0,X22) ) )
=> ( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(sK24,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP3(X6)
| sP4(X6)
| ~ r1(X5,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(X5,X9) )
& ~ p2(X5) )
| sP1(X5) )
& r1(sK24,X5) )
| sP5(sK24) )
& ! [X11] :
( ? [X12] :
( p1(X12)
& ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
& r1(X11,X12) )
| p1(X11)
| ~ r1(sK24,X11) )
& ? [X14] :
( ~ p1(X14)
& r1(sK24,X14) )
& ! [X15] :
( ? [X16] :
( p2(X16)
& ? [X17] :
( ~ p2(X17)
& r1(X16,X17) )
& r1(X15,X16) )
| p2(X15)
| ~ r1(sK24,X15) )
& ? [X18] :
( ~ p2(X18)
& r1(sK24,X18) )
& ! [X19] :
( ? [X20] :
( p3(X20)
& ? [X21] :
( ~ p3(X21)
& r1(X20,X21) )
& r1(X19,X20) )
| p3(X19)
| ~ r1(sK24,X19) )
& ? [X22] :
( ~ p3(X22)
& r1(sK24,X22) ) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
=> ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK25(X1),X3) )
& ~ p2(sK25(X1))
& r1(X1,sK25(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
( ? [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP3(X6)
| sP4(X6)
| ~ r1(X5,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(X5,X9) )
& ~ p2(X5) )
| sP1(X5) )
& r1(sK24,X5) )
=> ( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP3(X6)
| sP4(X6)
| ~ r1(sK26,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(sK26,X9) )
& ~ p2(sK26) )
| sP1(sK26) )
& r1(sK24,sK26) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X11] :
( ? [X12] :
( p1(X12)
& ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
& r1(X11,X12) )
=> ( p1(sK27(X11))
& ? [X13] :
( ~ p1(X13)
& r1(sK27(X11),X13) )
& r1(X11,sK27(X11)) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X11] :
( ? [X13] :
( ~ p1(X13)
& r1(sK27(X11),X13) )
=> ( ~ p1(sK28(X11))
& r1(sK27(X11),sK28(X11)) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
( ? [X14] :
( ~ p1(X14)
& r1(sK24,X14) )
=> ( ~ p1(sK29)
& r1(sK24,sK29) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X15] :
( ? [X16] :
( p2(X16)
& ? [X17] :
( ~ p2(X17)
& r1(X16,X17) )
& r1(X15,X16) )
=> ( p2(sK30(X15))
& ? [X17] :
( ~ p2(X17)
& r1(sK30(X15),X17) )
& r1(X15,sK30(X15)) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X15] :
( ? [X17] :
( ~ p2(X17)
& r1(sK30(X15),X17) )
=> ( ~ p2(sK31(X15))
& r1(sK30(X15),sK31(X15)) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
( ? [X18] :
( ~ p2(X18)
& r1(sK24,X18) )
=> ( ~ p2(sK32)
& r1(sK24,sK32) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X19] :
( ? [X20] :
( p3(X20)
& ? [X21] :
( ~ p3(X21)
& r1(X20,X21) )
& r1(X19,X20) )
=> ( p3(sK33(X19))
& ? [X21] :
( ~ p3(X21)
& r1(sK33(X19),X21) )
& r1(X19,sK33(X19)) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
! [X19] :
( ? [X21] :
( ~ p3(X21)
& r1(sK33(X19),X21) )
=> ( ~ p3(sK34(X19))
& r1(sK33(X19),sK34(X19)) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
( ? [X22] :
( ~ p3(X22)
& r1(sK24,X22) )
=> ( ~ p3(sK35)
& r1(sK24,sK35) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP3(X6)
| sP4(X6)
| ~ r1(X5,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(X5,X9) )
& ~ p2(X5) )
| sP1(X5) )
& r1(X0,X5) )
| sP5(X0) )
& ! [X11] :
( ? [X12] :
( p1(X12)
& ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
& r1(X11,X12) )
| p1(X11)
| ~ r1(X0,X11) )
& ? [X14] :
( ~ p1(X14)
& r1(X0,X14) )
& ! [X15] :
( ? [X16] :
( p2(X16)
& ? [X17] :
( ~ p2(X17)
& r1(X16,X17) )
& r1(X15,X16) )
| p2(X15)
| ~ r1(X0,X15) )
& ? [X18] :
( ~ p2(X18)
& r1(X0,X18) )
& ! [X19] :
( ? [X20] :
( p3(X20)
& ? [X21] :
( ~ p3(X21)
& r1(X20,X21) )
& r1(X19,X20) )
| p3(X19)
| ~ r1(X0,X19) )
& ? [X22] :
( ~ p3(X22)
& r1(X0,X22) ) ),
inference(rectify,[],[f13]) ).
fof(f13,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP3(X6)
| sP4(X6)
| ~ r1(X5,X6) )
& ( ( ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
& ~ p2(X5) )
| sP1(X5) )
& r1(X0,X5) )
| sP5(X0) )
& ! [X44] :
( ? [X45] :
( p1(X45)
& ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
& ? [X47] :
( ~ p1(X47)
& r1(X0,X47) )
& ! [X48] :
( ? [X49] :
( p2(X49)
& ? [X50] :
( ~ p2(X50)
& r1(X49,X50) )
& r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
& ? [X51] :
( ~ p2(X51)
& r1(X0,X51) )
& ! [X52] :
( ? [X53] :
( p3(X53)
& ? [X54] :
( ~ p3(X54)
& r1(X53,X54) )
& r1(X52,X53) )
| p3(X52)
| ~ r1(X0,X52) )
& ? [X55] :
( ~ p3(X55)
& r1(X0,X55) ) ),
inference(definition_folding,[],[f6,f12,f11,f10,f9,f8,f7]) ).
fof(f7,plain,
! [X0] :
( ! [X40] :
( ! [X41] :
( ? [X42] :
( p2(X42)
& ? [X43] :
( ~ p2(X43)
& r1(X42,X43) )
& r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f9,plain,
! [X16] :
( ! [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] :
( ~ p2(X25)
& r1(X24,X25) )
& r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) )
| ~ sP2(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f12,plain,
! [X0] :
( ( ( ? [X35] :
( p2(X35)
& ? [X36] :
( ~ p2(X36)
& r1(X35,X36) )
& r1(X0,X35) )
| p2(X0) )
& ( ? [X37] :
( ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& ~ p2(X37)
& r1(X0,X37) )
| sP0(X0) ) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f6,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| ( ! [X9] :
( ? [X10] :
( p2(X10)
& ? [X11] :
( ~ p2(X11)
& r1(X10,X11) )
& r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
& ? [X12] :
( ? [X13] :
( ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
& ~ p2(X13)
& r1(X12,X13) )
& r1(X6,X12) ) )
| ! [X16] :
( ( ( ? [X17] :
( p2(X17)
& ? [X18] :
( ~ p2(X18)
& r1(X17,X18) )
& r1(X16,X17) )
| p2(X16) )
& ( ? [X19] :
( ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
& ~ p2(X19)
& r1(X16,X19) )
| ! [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] :
( ~ p2(X25)
& r1(X24,X25) )
& r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) ) ) )
| ~ r1(X6,X16) )
| ~ r1(X5,X6) )
& ( ( ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
& ~ p2(X5) )
| ( ! [X28] :
( ? [X29] :
( p2(X29)
& ? [X30] :
( ~ p2(X30)
& r1(X29,X30) )
& r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
& ? [X31] :
( ? [X32] :
( ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
& ~ p2(X32)
& r1(X31,X32) )
& r1(X5,X31) ) ) )
& r1(X0,X5) )
| ( ( ? [X35] :
( p2(X35)
& ? [X36] :
( ~ p2(X36)
& r1(X35,X36) )
& r1(X0,X35) )
| p2(X0) )
& ( ? [X37] :
( ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& ~ p2(X37)
& r1(X0,X37) )
| ! [X40] :
( ! [X41] :
( ? [X42] :
( p2(X42)
& ? [X43] :
( ~ p2(X43)
& r1(X42,X43) )
& r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) ) ) ) )
& ! [X44] :
( ? [X45] :
( p1(X45)
& ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
& ? [X47] :
( ~ p1(X47)
& r1(X0,X47) )
& ! [X48] :
( ? [X49] :
( p2(X49)
& ? [X50] :
( ~ p2(X50)
& r1(X49,X50) )
& r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
& ? [X51] :
( ~ p2(X51)
& r1(X0,X51) )
& ! [X52] :
( ? [X53] :
( p3(X53)
& ? [X54] :
( ~ p3(X54)
& r1(X53,X54) )
& r1(X52,X53) )
| p3(X52)
| ~ r1(X0,X52) )
& ? [X55] :
( ~ p3(X55)
& r1(X0,X55) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| ( ! [X9] :
( ? [X10] :
( p2(X10)
& ? [X11] :
( ~ p2(X11)
& r1(X10,X11) )
& r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
& ? [X12] :
( ? [X13] :
( ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
& ~ p2(X13)
& r1(X12,X13) )
& r1(X6,X12) ) )
| ! [X16] :
( ( ( ? [X17] :
( p2(X17)
& ? [X18] :
( ~ p2(X18)
& r1(X17,X18) )
& r1(X16,X17) )
| p2(X16) )
& ( ? [X19] :
( ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
& ~ p2(X19)
& r1(X16,X19) )
| ! [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] :
( ~ p2(X25)
& r1(X24,X25) )
& r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) ) ) )
| ~ r1(X6,X16) )
| ~ r1(X5,X6) )
& ( ( ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
& ~ p2(X5) )
| ( ! [X28] :
( ? [X29] :
( p2(X29)
& ? [X30] :
( ~ p2(X30)
& r1(X29,X30) )
& r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
& ? [X31] :
( ? [X32] :
( ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
& ~ p2(X32)
& r1(X31,X32) )
& r1(X5,X31) ) ) )
& r1(X0,X5) )
| ( ( ? [X35] :
( p2(X35)
& ? [X36] :
( ~ p2(X36)
& r1(X35,X36) )
& r1(X0,X35) )
| p2(X0) )
& ( ? [X37] :
( ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& ~ p2(X37)
& r1(X0,X37) )
| ! [X40] :
( ! [X41] :
( ? [X42] :
( p2(X42)
& ? [X43] :
( ~ p2(X43)
& r1(X42,X43) )
& r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) ) ) ) )
& ! [X44] :
( ? [X45] :
( p1(X45)
& ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
& ? [X47] :
( ~ p1(X47)
& r1(X0,X47) )
& ! [X48] :
( ? [X49] :
( p2(X49)
& ? [X50] :
( ~ p2(X50)
& r1(X49,X50) )
& r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
& ? [X51] :
( ~ p2(X51)
& r1(X0,X51) )
& ! [X52] :
( ? [X53] :
( p3(X53)
& ? [X54] :
( ~ p3(X54)
& r1(X53,X54) )
& r1(X52,X53) )
| p3(X52)
| ~ r1(X0,X52) )
& ? [X55] :
( ~ p3(X55)
& r1(X0,X55) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,plain,
? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X5] :
( ~ ! [X6] :
( ~ ( ( ~ ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| p2(X6) )
& ( ~ ! [X9] :
( ~ ! [X10] :
( ~ p2(X10)
| ! [X11] :
( p2(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
| ! [X12] :
( ! [X13] :
( ~ ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| p2(X13)
| ~ r1(X12,X13) )
| ~ r1(X6,X12) ) ) )
| ! [X16] :
( ( ( ~ ! [X17] :
( ~ p2(X17)
| ! [X18] :
( p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| p2(X16) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| p2(X19)
| ~ r1(X16,X19) )
| ! [X22] :
( ! [X23] :
( ~ ! [X24] :
( ~ p2(X24)
| ! [X25] :
( p2(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) ) ) )
| ~ r1(X6,X16) )
| ~ r1(X5,X6) )
| ( ( ~ ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
| p2(X5) )
& ( ~ ! [X28] :
( ~ ! [X29] :
( ~ p2(X29)
| ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
| ! [X31] :
( ! [X32] :
( ~ ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| p2(X32)
| ~ r1(X31,X32) )
| ~ r1(X5,X31) ) ) )
| ~ r1(X0,X5) )
| ( ( ~ ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X0,X35) )
| p2(X0) )
& ( ~ ! [X37] :
( ~ ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| p2(X37)
| ~ r1(X0,X37) )
| ! [X40] :
( ! [X41] :
( ~ ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) ) ) ) ) )
| ~ ! [X44] :
( ~ ! [X45] :
( ~ p1(X45)
| ! [X46] :
( p1(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
| ! [X47] :
( p1(X47)
| ~ r1(X0,X47) )
| ~ ! [X48] :
( ~ ! [X49] :
( ~ p2(X49)
| ! [X50] :
( p2(X50)
| ~ r1(X49,X50) )
| ~ r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
| ! [X51] :
( p2(X51)
| ~ r1(X0,X51) )
| ~ ! [X52] :
( ~ ! [X53] :
( ~ p3(X53)
| ! [X54] :
( p3(X54)
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| p3(X52)
| ~ r1(X0,X52) )
| ! [X55] :
( p3(X55)
| ~ r1(X0,X55) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X5] :
( ~ ! [X6] :
( ~ ( ( ~ ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| p2(X6) )
& ( ~ ! [X9] :
( ~ ! [X10] :
( ~ p2(X10)
| ! [X11] :
( p2(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
| ! [X12] :
( ! [X13] :
( ~ ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| p2(X13)
| ~ r1(X12,X13) )
| ~ r1(X6,X12) ) ) )
| ! [X16] :
( ( ( ~ ! [X17] :
( ~ p2(X17)
| ! [X18] :
( p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| p2(X16) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| p2(X19)
| ~ r1(X16,X19) )
| ! [X22] :
( ! [X23] :
( ~ ! [X24] :
( ~ p2(X24)
| ! [X25] :
( p2(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) ) ) )
| ~ r1(X6,X16) )
| ~ r1(X5,X6) )
| ( ( ~ ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
| p2(X5) )
& ( ~ ! [X28] :
( ~ ! [X29] :
( ~ p2(X29)
| ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
| ! [X31] :
( ! [X32] :
( ~ ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| p2(X32)
| ~ r1(X31,X32) )
| ~ r1(X5,X31) ) ) )
| ~ r1(X0,X5) )
| ( ( ~ ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X0,X35) )
| p2(X0) )
& ( ~ ! [X37] :
( ~ ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| p2(X37)
| ~ r1(X0,X37) )
| ! [X40] :
( ! [X41] :
( ~ ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) ) ) ) ) )
| ~ ! [X44] :
( ~ ! [X45] :
( ~ p1(X45)
| ! [X46] :
( p1(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
| ! [X47] :
( p1(X47)
| ~ r1(X0,X47) )
| ~ ! [X48] :
( ~ ! [X49] :
( ~ p2(X49)
| ! [X50] :
( p2(X50)
| ~ r1(X49,X50) )
| ~ r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
| ! [X51] :
( p2(X51)
| ~ r1(X0,X51) )
| ~ ! [X52] :
( ~ ! [X53] :
( ~ p3(X53)
| ! [X54] :
( p3(X54)
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| p3(X52)
| ~ r1(X0,X52) )
| ! [X55] :
( p3(X55)
| ~ r1(X0,X55) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) ) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p3(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) ) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p3(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.WbVZVrJLNh/Vampire---4.8_12181',main) ).
fof(f777,plain,
( p2(sK31(sK8(sK24)))
| ~ spl36_100 ),
inference(avatar_component_clause,[],[f775]) ).
fof(f775,plain,
( spl36_100
<=> p2(sK31(sK8(sK24))) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_100])]) ).
fof(f856,plain,
( ~ spl36_1
| spl36_23
| ~ spl36_90 ),
inference(avatar_contradiction_clause,[],[f855]) ).
fof(f855,plain,
( $false
| ~ spl36_1
| spl36_23
| ~ spl36_90 ),
inference(subsumption_resolution,[],[f854,f131]) ).
fof(f131,plain,
( sP5(sK24)
| ~ spl36_1 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl36_1
<=> sP5(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_1])]) ).
fof(f854,plain,
( ~ sP5(sK24)
| spl36_23
| ~ spl36_90 ),
inference(subsumption_resolution,[],[f851,f263]) ).
fof(f263,plain,
( ~ sP0(sK24)
| spl36_23 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f262,plain,
( spl36_23
<=> sP0(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_23])]) ).
fof(f851,plain,
( sP0(sK24)
| ~ sP5(sK24)
| ~ spl36_90 ),
inference(resolution,[],[f720,f65]) ).
fof(f65,plain,
! [X0] :
( ~ p2(sK8(X0))
| sP0(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0] :
( ( ( ( p2(sK6(X0))
& ~ p2(sK7(X0))
& r1(sK6(X0),sK7(X0))
& r1(X0,sK6(X0)) )
| p2(X0) )
& ( ( ! [X4] :
( ~ p2(X4)
| ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ r1(sK8(X0),X4) )
& ~ p2(sK8(X0))
& r1(X0,sK8(X0)) )
| sP0(X0) ) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f15,f18,f17,f16]) ).
fof(f16,plain,
! [X0] :
( ? [X1] :
( p2(X1)
& ? [X2] :
( ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
=> ( p2(sK6(X0))
& ? [X2] :
( ~ p2(X2)
& r1(sK6(X0),X2) )
& r1(X0,sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X0] :
( ? [X2] :
( ~ p2(X2)
& r1(sK6(X0),X2) )
=> ( ~ p2(sK7(X0))
& r1(sK6(X0),sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X0] :
( ? [X3] :
( ! [X4] :
( ~ p2(X4)
| ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
& ~ p2(X3)
& r1(X0,X3) )
=> ( ! [X4] :
( ~ p2(X4)
| ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ r1(sK8(X0),X4) )
& ~ p2(sK8(X0))
& r1(X0,sK8(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X0] :
( ( ( ? [X1] :
( p2(X1)
& ? [X2] :
( ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
| p2(X0) )
& ( ? [X3] :
( ! [X4] :
( ~ p2(X4)
| ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
& ~ p2(X3)
& r1(X0,X3) )
| sP0(X0) ) )
| ~ sP5(X0) ),
inference(rectify,[],[f14]) ).
fof(f14,plain,
! [X0] :
( ( ( ? [X35] :
( p2(X35)
& ? [X36] :
( ~ p2(X36)
& r1(X35,X36) )
& r1(X0,X35) )
| p2(X0) )
& ( ? [X37] :
( ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& ~ p2(X37)
& r1(X0,X37) )
| sP0(X0) ) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f12]) ).
fof(f720,plain,
( p2(sK8(sK24))
| ~ spl36_90 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f778,plain,
( spl36_90
| spl36_100
| ~ spl36_22
| ~ spl36_91 ),
inference(avatar_split_clause,[],[f773,f722,f258,f775,f718]) ).
fof(f722,plain,
( spl36_91
<=> ! [X0] :
( p2(X0)
| ~ r1(sK30(sK8(sK24)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_91])]) ).
fof(f773,plain,
( p2(sK31(sK8(sK24)))
| p2(sK8(sK24))
| ~ spl36_22
| ~ spl36_91 ),
inference(subsumption_resolution,[],[f763,f260]) ).
fof(f763,plain,
( p2(sK31(sK8(sK24)))
| p2(sK8(sK24))
| ~ r1(sK24,sK8(sK24))
| ~ spl36_91 ),
inference(resolution,[],[f723,f111]) ).
fof(f111,plain,
! [X15] :
( r1(sK30(X15),sK31(X15))
| p2(X15)
| ~ r1(sK24,X15) ),
inference(cnf_transformation,[],[f63]) ).
fof(f723,plain,
( ! [X0] :
( ~ r1(sK30(sK8(sK24)),X0)
| p2(X0) )
| ~ spl36_91 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f724,plain,
( spl36_90
| spl36_91
| ~ spl36_22
| ~ spl36_76 ),
inference(avatar_split_clause,[],[f716,f576,f258,f722,f718]) ).
fof(f576,plain,
( spl36_76
<=> ! [X0,X1] :
( p2(X0)
| ~ p2(X1)
| ~ r1(sK8(sK24),X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_76])]) ).
fof(f716,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK30(sK8(sK24)),X0)
| p2(sK8(sK24)) )
| ~ spl36_22
| ~ spl36_76 ),
inference(subsumption_resolution,[],[f715,f260]) ).
fof(f715,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK30(sK8(sK24)),X0)
| p2(sK8(sK24))
| ~ r1(sK24,sK8(sK24)) )
| ~ spl36_76 ),
inference(duplicate_literal_removal,[],[f714]) ).
fof(f714,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK30(sK8(sK24)),X0)
| p2(sK8(sK24))
| ~ r1(sK24,sK8(sK24))
| p2(sK8(sK24))
| ~ r1(sK24,sK8(sK24)) )
| ~ spl36_76 ),
inference(resolution,[],[f708,f110]) ).
fof(f110,plain,
! [X15] :
( r1(X15,sK30(X15))
| p2(X15)
| ~ r1(sK24,X15) ),
inference(cnf_transformation,[],[f63]) ).
fof(f708,plain,
( ! [X0,X1] :
( ~ r1(sK8(sK24),sK30(X1))
| p2(X0)
| ~ r1(sK30(X1),X0)
| p2(X1)
| ~ r1(sK24,X1) )
| ~ spl36_76 ),
inference(resolution,[],[f577,f113]) ).
fof(f113,plain,
! [X15] :
( p2(sK30(X15))
| p2(X15)
| ~ r1(sK24,X15) ),
inference(cnf_transformation,[],[f63]) ).
fof(f577,plain,
( ! [X0,X1] :
( ~ p2(X1)
| p2(X0)
| ~ r1(sK8(sK24),X1)
| ~ r1(X1,X0) )
| ~ spl36_76 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f701,plain,
( spl36_78
| ~ spl36_23 ),
inference(avatar_split_clause,[],[f700,f262,f586]) ).
fof(f586,plain,
( spl36_78
<=> ! [X0] :
( p2(X0)
| ~ r1(sK24,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_78])]) ).
fof(f700,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK24,X0) )
| ~ spl36_23 ),
inference(duplicate_literal_removal,[],[f699]) ).
fof(f699,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK24,X0)
| ~ r1(sK24,X0)
| p2(X0)
| ~ r1(sK24,X0) )
| ~ spl36_23 ),
inference(resolution,[],[f694,f125]) ).
fof(f125,plain,
! [X1] :
( r1(X1,sK25(X1))
| p2(X1)
| ~ r1(sK24,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f694,plain,
( ! [X0,X1] :
( ~ r1(X1,sK25(X0))
| p2(X0)
| ~ r1(sK24,X1)
| ~ r1(sK24,X0) )
| ~ spl36_23 ),
inference(resolution,[],[f679,f264]) ).
fof(f264,plain,
( sP0(sK24)
| ~ spl36_23 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f679,plain,
( ! [X2,X0,X1] :
( ~ sP0(X2)
| p2(X0)
| ~ r1(X1,sK25(X0))
| ~ r1(X2,X1)
| ~ r1(sK24,X0) )
| ~ spl36_23 ),
inference(subsumption_resolution,[],[f678,f126]) ).
fof(f126,plain,
! [X1] :
( ~ p2(sK25(X1))
| p2(X1)
| ~ r1(sK24,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f678,plain,
( ! [X2,X0,X1] :
( ~ r1(sK24,X0)
| p2(X0)
| p2(sK25(X0))
| ~ r1(X1,sK25(X0))
| ~ r1(X2,X1)
| ~ sP0(X2) )
| ~ spl36_23 ),
inference(subsumption_resolution,[],[f667,f100]) ).
fof(f100,plain,
! [X2,X0,X1] :
( ~ p2(sK23(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p2(sK22(X2))
& ~ p2(sK23(X2))
& r1(sK22(X2),sK23(X2))
& r1(X2,sK22(X2)) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23])],[f46,f48,f47]) ).
fof(f47,plain,
! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3) )
=> ( p2(sK22(X2))
& ? [X4] :
( ~ p2(X4)
& r1(sK22(X2),X4) )
& r1(X2,sK22(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X2] :
( ? [X4] :
( ~ p2(X4)
& r1(sK22(X2),X4) )
=> ( ~ p2(sK23(X2))
& r1(sK22(X2),sK23(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ! [X40] :
( ! [X41] :
( ? [X42] :
( p2(X42)
& ? [X43] :
( ~ p2(X43)
& r1(X42,X43) )
& r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f7]) ).
fof(f667,plain,
( ! [X2,X0,X1] :
( ~ r1(sK24,X0)
| p2(X0)
| p2(sK23(sK25(X0)))
| p2(sK25(X0))
| ~ r1(X1,sK25(X0))
| ~ r1(X2,X1)
| ~ sP0(X2) )
| ~ spl36_23 ),
inference(resolution,[],[f664,f99]) ).
fof(f99,plain,
! [X2,X0,X1] :
( r1(sK22(X2),sK23(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f664,plain,
( ! [X0,X1] :
( ~ r1(sK22(sK25(X0)),X1)
| ~ r1(sK24,X0)
| p2(X0)
| p2(X1) )
| ~ spl36_23 ),
inference(duplicate_literal_removal,[],[f663]) ).
fof(f663,plain,
( ! [X0,X1] :
( ~ r1(sK22(sK25(X0)),X1)
| ~ r1(sK24,X0)
| p2(X0)
| p2(X1)
| ~ r1(sK24,X0)
| p2(X0)
| ~ r1(sK24,X0) )
| ~ spl36_23 ),
inference(resolution,[],[f649,f125]) ).
fof(f649,plain,
( ! [X2,X0,X1] :
( ~ r1(X2,sK25(X1))
| ~ r1(sK22(sK25(X1)),X0)
| ~ r1(sK24,X1)
| p2(X1)
| p2(X0)
| ~ r1(sK24,X2) )
| ~ spl36_23 ),
inference(duplicate_literal_removal,[],[f648]) ).
fof(f648,plain,
( ! [X2,X0,X1] :
( p2(X0)
| ~ r1(sK22(sK25(X1)),X0)
| ~ r1(sK24,X1)
| p2(X1)
| ~ r1(sK24,X1)
| ~ r1(X2,sK25(X1))
| ~ r1(sK24,X2)
| p2(X1)
| ~ r1(sK24,X1) )
| ~ spl36_23 ),
inference(resolution,[],[f633,f125]) ).
fof(f633,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0,sK25(X1))
| p2(X2)
| ~ r1(sK22(sK25(X1)),X2)
| ~ r1(sK24,X0)
| p2(X1)
| ~ r1(sK24,X1)
| ~ r1(X3,sK25(X1))
| ~ r1(sK24,X3) )
| ~ spl36_23 ),
inference(subsumption_resolution,[],[f632,f126]) ).
fof(f632,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(sK24,X0)
| p2(sK25(X1))
| p2(X2)
| ~ r1(sK22(sK25(X1)),X2)
| ~ r1(X0,sK25(X1))
| p2(X1)
| ~ r1(sK24,X1)
| ~ r1(X3,sK25(X1))
| ~ r1(sK24,X3) )
| ~ spl36_23 ),
inference(duplicate_literal_removal,[],[f631]) ).
fof(f631,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(sK24,X0)
| p2(sK25(X1))
| p2(X2)
| ~ r1(sK22(sK25(X1)),X2)
| ~ r1(X0,sK25(X1))
| p2(X1)
| ~ r1(sK24,X1)
| ~ r1(X3,sK25(X1))
| ~ r1(sK24,X3)
| p2(sK25(X1)) )
| ~ spl36_23 ),
inference(resolution,[],[f589,f579]) ).
fof(f579,plain,
( ! [X0,X1] :
( r1(X0,sK22(X0))
| ~ r1(X1,X0)
| ~ r1(sK24,X1)
| p2(X0) )
| ~ spl36_23 ),
inference(resolution,[],[f264,f98]) ).
fof(f98,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(X2,sK22(X2)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f589,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(sK25(X3),sK22(X1))
| ~ r1(sK24,X0)
| p2(X1)
| p2(X2)
| ~ r1(sK22(X1),X2)
| ~ r1(X0,X1)
| p2(X3)
| ~ r1(sK24,X3) )
| ~ spl36_23 ),
inference(resolution,[],[f580,f127]) ).
fof(f127,plain,
! [X3,X1,X4] :
( ~ p2(X3)
| p2(X4)
| ~ r1(X3,X4)
| ~ r1(sK25(X1),X3)
| p2(X1)
| ~ r1(sK24,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f580,plain,
( ! [X0,X1] :
( p2(sK22(X0))
| ~ r1(X1,X0)
| ~ r1(sK24,X1)
| p2(X0) )
| ~ spl36_23 ),
inference(resolution,[],[f264,f101]) ).
fof(f101,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| p2(sK22(X2)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f610,plain,
~ spl36_78,
inference(avatar_contradiction_clause,[],[f609]) ).
fof(f609,plain,
( $false
| ~ spl36_78 ),
inference(subsumption_resolution,[],[f595,f109]) ).
fof(f109,plain,
~ p2(sK32),
inference(cnf_transformation,[],[f63]) ).
fof(f595,plain,
( p2(sK32)
| ~ spl36_78 ),
inference(resolution,[],[f587,f108]) ).
fof(f108,plain,
r1(sK24,sK32),
inference(cnf_transformation,[],[f63]) ).
fof(f587,plain,
( ! [X0] :
( ~ r1(sK24,X0)
| p2(X0) )
| ~ spl36_78 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f578,plain,
( spl36_23
| spl36_76
| ~ spl36_1 ),
inference(avatar_split_clause,[],[f571,f129,f576,f262]) ).
fof(f571,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(X1,X0)
| ~ r1(sK8(sK24),X1)
| sP0(sK24)
| ~ p2(X1) )
| ~ spl36_1 ),
inference(resolution,[],[f131,f66]) ).
fof(f66,plain,
! [X0,X4,X5] :
( ~ sP5(X0)
| p2(X5)
| ~ r1(X4,X5)
| ~ r1(sK8(X0),X4)
| sP0(X0)
| ~ p2(X4) ),
inference(cnf_transformation,[],[f19]) ).
fof(f416,plain,
( ~ spl36_4
| spl36_44 ),
inference(avatar_contradiction_clause,[],[f415]) ).
fof(f415,plain,
( $false
| ~ spl36_4
| spl36_44 ),
inference(subsumption_resolution,[],[f414,f143]) ).
fof(f414,plain,
( ~ sP1(sK26)
| spl36_44 ),
inference(resolution,[],[f405,f90]) ).
fof(f90,plain,
! [X0] :
( r1(X0,sK20(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f405,plain,
( ~ r1(sK26,sK20(sK26))
| spl36_44 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f411,plain,
( spl36_42
| ~ spl36_45
| ~ spl36_44
| ~ spl36_3
| ~ spl36_4
| ~ spl36_19 ),
inference(avatar_split_clause,[],[f394,f243,f141,f137,f403,f408,f396]) ).
fof(f137,plain,
( spl36_3
<=> ! [X6] :
( ~ p2(X6)
| ~ r1(sK26,X6)
| sP4(X6)
| sP3(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_3])]) ).
fof(f394,plain,
( ~ r1(sK26,sK20(sK26))
| ~ p2(sK20(sK26))
| sP3(sK20(sK26))
| ~ spl36_3
| ~ spl36_4
| ~ spl36_19 ),
inference(resolution,[],[f390,f138]) ).
fof(f138,plain,
( ! [X6] :
( sP4(X6)
| ~ r1(sK26,X6)
| ~ p2(X6)
| sP3(X6) )
| ~ spl36_3 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f390,plain,
( ~ sP4(sK20(sK26))
| ~ spl36_4
| ~ spl36_19 ),
inference(subsumption_resolution,[],[f389,f143]) ).
fof(f389,plain,
( ~ sP4(sK20(sK26))
| ~ sP1(sK26)
| ~ spl36_19 ),
inference(resolution,[],[f244,f91]) ).
fof(f244,plain,
( ! [X2] :
( ~ r1(X2,sK21(sK26))
| ~ sP4(X2) )
| ~ spl36_19 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f406,plain,
( spl36_42
| spl36_43
| ~ spl36_44
| ~ spl36_2
| ~ spl36_4
| ~ spl36_19 ),
inference(avatar_split_clause,[],[f393,f243,f141,f133,f403,f400,f396]) ).
fof(f133,plain,
( spl36_2
<=> ! [X6,X7,X8] :
( ~ p2(X7)
| ~ r1(sK26,X6)
| sP4(X6)
| sP3(X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| p2(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_2])]) ).
fof(f393,plain,
( ! [X0,X1] :
( ~ r1(sK26,sK20(sK26))
| ~ p2(X0)
| sP3(sK20(sK26))
| ~ r1(sK20(sK26),X0)
| ~ r1(X0,X1)
| p2(X1) )
| ~ spl36_2
| ~ spl36_4
| ~ spl36_19 ),
inference(resolution,[],[f390,f134]) ).
fof(f134,plain,
( ! [X8,X6,X7] :
( sP4(X6)
| ~ r1(sK26,X6)
| ~ p2(X7)
| sP3(X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| p2(X8) )
| ~ spl36_2 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f365,plain,
( ~ spl36_4
| ~ spl36_17 ),
inference(avatar_contradiction_clause,[],[f364]) ).
fof(f364,plain,
( $false
| ~ spl36_4
| ~ spl36_17 ),
inference(subsumption_resolution,[],[f362,f143]) ).
fof(f362,plain,
( ~ sP1(sK26)
| ~ spl36_17 ),
inference(resolution,[],[f234,f92]) ).
fof(f92,plain,
! [X0] :
( ~ p2(sK21(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f234,plain,
( p2(sK21(sK26))
| ~ spl36_17 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f347,plain,
( ~ spl36_5
| spl36_6
| ~ spl36_7 ),
inference(avatar_contradiction_clause,[],[f346]) ).
fof(f346,plain,
( $false
| ~ spl36_5
| spl36_6
| ~ spl36_7 ),
inference(subsumption_resolution,[],[f345,f156]) ).
fof(f156,plain,
( r1(sK24,sK26)
| ~ spl36_7 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f154,plain,
( spl36_7
<=> r1(sK24,sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_7])]) ).
fof(f345,plain,
( ~ r1(sK24,sK26)
| ~ spl36_5
| spl36_6
| ~ spl36_7 ),
inference(subsumption_resolution,[],[f342,f151]) ).
fof(f151,plain,
( ~ p2(sK26)
| spl36_6 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f149,plain,
( spl36_6
<=> p2(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_6])]) ).
fof(f342,plain,
( p2(sK26)
| ~ r1(sK24,sK26)
| ~ spl36_5
| spl36_6
| ~ spl36_7 ),
inference(resolution,[],[f288,f112]) ).
fof(f288,plain,
( p2(sK31(sK26))
| ~ spl36_5
| spl36_6
| ~ spl36_7 ),
inference(subsumption_resolution,[],[f287,f156]) ).
fof(f287,plain,
( p2(sK31(sK26))
| ~ r1(sK24,sK26)
| ~ spl36_5
| spl36_6
| ~ spl36_7 ),
inference(subsumption_resolution,[],[f279,f151]) ).
fof(f279,plain,
( p2(sK31(sK26))
| p2(sK26)
| ~ r1(sK24,sK26)
| ~ spl36_5
| spl36_6
| ~ spl36_7 ),
inference(resolution,[],[f278,f111]) ).
fof(f278,plain,
( ! [X0] :
( ~ r1(sK30(sK26),X0)
| p2(X0) )
| ~ spl36_5
| spl36_6
| ~ spl36_7 ),
inference(subsumption_resolution,[],[f277,f156]) ).
fof(f277,plain,
( ! [X0] :
( ~ r1(sK30(sK26),X0)
| p2(X0)
| ~ r1(sK24,sK26) )
| ~ spl36_5
| spl36_6 ),
inference(subsumption_resolution,[],[f276,f151]) ).
fof(f276,plain,
( ! [X0] :
( ~ r1(sK30(sK26),X0)
| p2(X0)
| p2(sK26)
| ~ r1(sK24,sK26) )
| ~ spl36_5 ),
inference(duplicate_literal_removal,[],[f275]) ).
fof(f275,plain,
( ! [X0] :
( ~ r1(sK30(sK26),X0)
| p2(X0)
| p2(sK26)
| ~ r1(sK24,sK26)
| p2(sK26)
| ~ r1(sK24,sK26) )
| ~ spl36_5 ),
inference(resolution,[],[f274,f110]) ).
fof(f274,plain,
( ! [X0,X1] :
( ~ r1(sK26,sK30(X0))
| ~ r1(sK30(X0),X1)
| p2(X1)
| p2(X0)
| ~ r1(sK24,X0) )
| ~ spl36_5 ),
inference(resolution,[],[f146,f113]) ).
fof(f146,plain,
( ! [X10,X9] :
( ~ p2(X9)
| ~ r1(sK26,X9)
| ~ r1(X9,X10)
| p2(X10) )
| ~ spl36_5 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f145,plain,
( spl36_5
<=> ! [X9,X10] :
( ~ p2(X9)
| ~ r1(sK26,X9)
| ~ r1(X9,X10)
| p2(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl36_5])]) ).
fof(f265,plain,
( spl36_22
| spl36_23
| ~ spl36_1 ),
inference(avatar_split_clause,[],[f250,f129,f262,f258]) ).
fof(f250,plain,
( sP0(sK24)
| r1(sK24,sK8(sK24))
| ~ spl36_1 ),
inference(resolution,[],[f131,f64]) ).
fof(f64,plain,
! [X0] :
( ~ sP5(X0)
| sP0(X0)
| r1(X0,sK8(X0)) ),
inference(cnf_transformation,[],[f19]) ).
fof(f157,plain,
( spl36_1
| spl36_7 ),
inference(avatar_split_clause,[],[f120,f154,f129]) ).
fof(f120,plain,
( r1(sK24,sK26)
| sP5(sK24) ),
inference(cnf_transformation,[],[f63]) ).
fof(f152,plain,
( spl36_1
| spl36_4
| ~ spl36_6 ),
inference(avatar_split_clause,[],[f121,f149,f141,f129]) ).
fof(f121,plain,
( ~ p2(sK26)
| sP1(sK26)
| sP5(sK24) ),
inference(cnf_transformation,[],[f63]) ).
fof(f147,plain,
( spl36_1
| spl36_4
| spl36_5 ),
inference(avatar_split_clause,[],[f122,f145,f141,f129]) ).
fof(f122,plain,
! [X10,X9] :
( ~ p2(X9)
| p2(X10)
| ~ r1(X9,X10)
| ~ r1(sK26,X9)
| sP1(sK26)
| sP5(sK24) ),
inference(cnf_transformation,[],[f63]) ).
fof(f139,plain,
( spl36_1
| spl36_3 ),
inference(avatar_split_clause,[],[f123,f137,f129]) ).
fof(f123,plain,
! [X6] :
( ~ p2(X6)
| sP3(X6)
| sP4(X6)
| ~ r1(sK26,X6)
| sP5(sK24) ),
inference(cnf_transformation,[],[f63]) ).
fof(f135,plain,
( spl36_1
| spl36_2 ),
inference(avatar_split_clause,[],[f124,f133,f129]) ).
fof(f124,plain,
! [X8,X6,X7] :
( ~ p2(X7)
| p2(X8)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| sP3(X6)
| sP4(X6)
| ~ r1(sK26,X6)
| sP5(sK24) ),
inference(cnf_transformation,[],[f63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL642+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n017.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 12:48:51 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.WbVZVrJLNh/Vampire---4.8_12181
% 0.55/0.74 % (12441)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.55/0.74 % (12435)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.74 % (12438)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.74 % (12437)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.74 % (12436)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.55/0.74 % (12439)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.74 % (12440)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.74 % (12442)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.55/0.76 % (12440)Refutation not found, incomplete strategy% (12440)------------------------------
% 0.55/0.76 % (12440)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (12440)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (12440)Memory used [KB]: 1398
% 0.55/0.76 % (12440)Time elapsed: 0.018 s
% 0.55/0.76 % (12440)Instructions burned: 29 (million)
% 0.55/0.76 % (12440)------------------------------
% 0.55/0.76 % (12440)------------------------------
% 0.55/0.76 % (12438)Instruction limit reached!
% 0.55/0.76 % (12438)------------------------------
% 0.55/0.76 % (12438)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (12438)Termination reason: Unknown
% 0.55/0.76 % (12438)Termination phase: Saturation
% 0.55/0.76
% 0.55/0.76 % (12438)Memory used [KB]: 1524
% 0.55/0.76 % (12438)Time elapsed: 0.020 s
% 0.55/0.76 % (12438)Instructions burned: 33 (million)
% 0.55/0.76 % (12438)------------------------------
% 0.55/0.76 % (12438)------------------------------
% 0.55/0.76 % (12435)Instruction limit reached!
% 0.55/0.76 % (12435)------------------------------
% 0.55/0.76 % (12435)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (12435)Termination reason: Unknown
% 0.55/0.76 % (12435)Termination phase: Saturation
% 0.55/0.76
% 0.55/0.76 % (12435)Memory used [KB]: 1794
% 0.55/0.76 % (12435)Time elapsed: 0.022 s
% 0.55/0.76 % (12435)Instructions burned: 34 (million)
% 0.55/0.76 % (12435)------------------------------
% 0.55/0.76 % (12435)------------------------------
% 0.55/0.76 % (12439)Instruction limit reached!
% 0.55/0.76 % (12439)------------------------------
% 0.55/0.76 % (12439)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (12439)Termination reason: Unknown
% 0.55/0.76 % (12439)Termination phase: Saturation
% 0.55/0.76
% 0.55/0.76 % (12439)Memory used [KB]: 1841
% 0.55/0.76 % (12439)Time elapsed: 0.022 s
% 0.55/0.76 % (12439)Instructions burned: 34 (million)
% 0.55/0.76 % (12439)------------------------------
% 0.55/0.76 % (12439)------------------------------
% 0.55/0.76 % (12443)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.55/0.76 % (12444)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.55/0.76 % (12445)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.55/0.76 % (12446)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.68/0.77 % (12441)Instruction limit reached!
% 0.68/0.77 % (12441)------------------------------
% 0.68/0.77 % (12441)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.77 % (12441)Termination reason: Unknown
% 0.68/0.77 % (12441)Termination phase: Saturation
% 0.68/0.77
% 0.68/0.77 % (12441)Memory used [KB]: 2408
% 0.68/0.77 % (12441)Time elapsed: 0.029 s
% 0.68/0.77 % (12441)Instructions burned: 85 (million)
% 0.68/0.77 % (12441)------------------------------
% 0.68/0.77 % (12441)------------------------------
% 0.68/0.77 % (12447)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.68/0.77 % (12442)Instruction limit reached!
% 0.68/0.77 % (12442)------------------------------
% 0.68/0.77 % (12442)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.77 % (12442)Termination reason: Unknown
% 0.68/0.77 % (12442)Termination phase: Saturation
% 0.68/0.77
% 0.68/0.77 % (12442)Memory used [KB]: 1457
% 0.68/0.77 % (12442)Time elapsed: 0.030 s
% 0.68/0.77 % (12442)Instructions burned: 56 (million)
% 0.68/0.77 % (12442)------------------------------
% 0.68/0.77 % (12442)------------------------------
% 0.68/0.77 % (12436)Instruction limit reached!
% 0.68/0.77 % (12436)------------------------------
% 0.68/0.77 % (12436)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.77 % (12436)Termination reason: Unknown
% 0.68/0.77 % (12436)Termination phase: Saturation
% 0.68/0.77
% 0.68/0.77 % (12436)Memory used [KB]: 2009
% 0.68/0.77 % (12436)Time elapsed: 0.034 s
% 0.68/0.77 % (12436)Instructions burned: 52 (million)
% 0.68/0.77 % (12436)------------------------------
% 0.68/0.77 % (12436)------------------------------
% 0.68/0.77 % (12448)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.68/0.78 % (12449)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.68/0.78 % (12437)First to succeed.
% 0.68/0.78 % (12443)Instruction limit reached!
% 0.68/0.78 % (12443)------------------------------
% 0.68/0.78 % (12443)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.78 % (12443)Termination reason: Unknown
% 0.68/0.78 % (12443)Termination phase: Property scanning
% 0.68/0.78
% 0.68/0.78 % (12443)Memory used [KB]: 2215
% 0.68/0.78 % (12443)Time elapsed: 0.022 s
% 0.68/0.78 % (12443)Instructions burned: 57 (million)
% 0.68/0.78 % (12443)------------------------------
% 0.68/0.78 % (12443)------------------------------
% 0.68/0.78 % (12447)Refutation not found, incomplete strategy% (12447)------------------------------
% 0.68/0.78 % (12447)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.78 % (12447)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.78
% 0.68/0.78 % (12447)Memory used [KB]: 1640
% 0.68/0.78 % (12447)Time elapsed: 0.015 s
% 0.68/0.78 % (12447)Instructions burned: 45 (million)
% 0.68/0.78 % (12447)------------------------------
% 0.68/0.78 % (12447)------------------------------
% 0.68/0.78 % (12450)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.68/0.79 % (12451)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.68/0.79 % (12444)Instruction limit reached!
% 0.68/0.79 % (12444)------------------------------
% 0.68/0.79 % (12444)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.79 % (12444)Termination reason: Unknown
% 0.68/0.79 % (12444)Termination phase: Saturation
% 0.68/0.79
% 0.68/0.79 % (12444)Memory used [KB]: 1453
% 0.68/0.79 % (12444)Time elapsed: 0.026 s
% 0.68/0.79 % (12444)Instructions burned: 50 (million)
% 0.68/0.79 % (12437)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12431"
% 0.68/0.79 % (12444)------------------------------
% 0.68/0.79 % (12444)------------------------------
% 0.68/0.79 % (12437)Refutation found. Thanks to Tanya!
% 0.68/0.79 % SZS status Theorem for Vampire---4
% 0.68/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.68/0.79 % (12437)------------------------------
% 0.68/0.79 % (12437)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.79 % (12437)Termination reason: Refutation
% 0.68/0.79
% 0.68/0.79 % (12437)Memory used [KB]: 1823
% 0.68/0.79 % (12437)Time elapsed: 0.048 s
% 0.68/0.79 % (12437)Instructions burned: 88 (million)
% 0.68/0.79 % (12431)Success in time 0.407 s
% 0.68/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------