TSTP Solution File: LCL660+1.001 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL660+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n013.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 07:39:24 EDT 2024
% Result : Theorem 0.91s 0.88s
% Output : Refutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 87
% Syntax : Number of formulae : 426 ( 3 unt; 0 def)
% Number of atoms : 3023 ( 0 equ)
% Maximal formula atoms : 120 ( 7 avg)
% Number of connectives : 4524 (1927 ~;1967 |; 552 &)
% ( 46 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 59 ( 58 usr; 47 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 5 con; 0-1 aty)
% Number of variables : 1129 ( 894 !; 235 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5992,plain,
$false,
inference(avatar_sat_refutation,[],[f153,f157,f165,f170,f175,f183,f187,f194,f198,f202,f206,f211,f216,f373,f426,f552,f681,f703,f1231,f2711,f2716,f2758,f2835,f2902,f2909,f2912,f2999,f3334,f3335,f3556,f4555,f4611,f4731,f4755,f4777,f4821,f4889,f5038,f5051,f5053,f5081,f5147,f5173,f5198,f5449,f5458,f5540,f5545,f5688,f5991]) ).
fof(f5991,plain,
( spl41_140
| spl41_6
| ~ spl41_415 ),
inference(avatar_split_clause,[],[f5990,f5685,f167,f1220]) ).
fof(f1220,plain,
( spl41_140
<=> ! [X0] :
( ~ r1(X0,sK30)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_140])]) ).
fof(f167,plain,
( spl41_6
<=> p2(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_6])]) ).
fof(f5685,plain,
( spl41_415
<=> p2(sK26(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_415])]) ).
fof(f5990,plain,
( ! [X0] :
( ~ r1(X0,sK30)
| ~ sP0(X0) )
| spl41_6
| ~ spl41_415 ),
inference(subsumption_resolution,[],[f5989,f169]) ).
fof(f169,plain,
( ~ p2(sK30)
| spl41_6 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f5989,plain,
( ! [X0] :
( p2(sK30)
| ~ r1(X0,sK30)
| ~ sP0(X0) )
| ~ spl41_415 ),
inference(resolution,[],[f5687,f115]) ).
fof(f115,plain,
! [X0,X1] :
( ~ p2(sK26(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ( ! [X1] :
( ( p2(sK25(X1))
& ~ p2(sK26(X1))
& r1(sK25(X1),sK26(X1))
& r1(X1,sK25(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
& ~ p2(sK27(X0))
& r1(X0,sK27(X0)) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26,sK27])],[f53,f56,f55,f54]) ).
fof(f54,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK25(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK25(X1),X3) )
& r1(X1,sK25(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK25(X1),X3) )
=> ( ~ p2(sK26(X1))
& r1(sK25(X1),sK26(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0] :
( ? [X4] :
( ~ p2(X4)
& r1(X0,X4) )
=> ( ~ p2(sK27(X0))
& r1(X0,sK27(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0] :
( ( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ? [X4] :
( ~ p2(X4)
& r1(X0,X4) ) )
| ~ sP0(X0) ),
inference(rectify,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ( ! [X48] :
( ? [X49] :
( p2(X49)
& ? [X50] :
( ~ p2(X50)
& r1(X49,X50) )
& r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
& ? [X51] :
( ~ p2(X51)
& r1(X0,X51) ) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0] :
( ( ! [X48] :
( ? [X49] :
( p2(X49)
& ? [X50] :
( ~ p2(X50)
& r1(X49,X50) )
& r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
& ? [X51] :
( ~ p2(X51)
& r1(X0,X51) ) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f5687,plain,
( p2(sK26(sK30))
| ~ spl41_415 ),
inference(avatar_component_clause,[],[f5685]) ).
fof(f5688,plain,
( spl41_140
| spl41_415
| spl41_6
| ~ spl41_141 ),
inference(avatar_split_clause,[],[f5683,f1225,f167,f5685,f1220]) ).
fof(f1225,plain,
( spl41_141
<=> ! [X1] :
( ~ r1(sK25(sK30),X1)
| p2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_141])]) ).
fof(f5683,plain,
( ! [X0] :
( p2(sK26(sK30))
| ~ r1(X0,sK30)
| ~ sP0(X0) )
| spl41_6
| ~ spl41_141 ),
inference(subsumption_resolution,[],[f5665,f169]) ).
fof(f5665,plain,
( ! [X0] :
( p2(sK26(sK30))
| p2(sK30)
| ~ r1(X0,sK30)
| ~ sP0(X0) )
| ~ spl41_141 ),
inference(resolution,[],[f1226,f114]) ).
fof(f114,plain,
! [X0,X1] :
( r1(sK25(X1),sK26(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f1226,plain,
( ! [X1] :
( ~ r1(sK25(sK30),X1)
| p2(X1) )
| ~ spl41_141 ),
inference(avatar_component_clause,[],[f1225]) ).
fof(f5545,plain,
( spl41_142
| spl41_6
| ~ spl41_7
| ~ spl41_9 ),
inference(avatar_split_clause,[],[f5544,f180,f172,f167,f1228]) ).
fof(f1228,plain,
( spl41_142
<=> p2(sK25(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_142])]) ).
fof(f172,plain,
( spl41_7
<=> r1(sK28,sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_7])]) ).
fof(f180,plain,
( spl41_9
<=> sP0(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_9])]) ).
fof(f5544,plain,
( p2(sK30)
| p2(sK25(sK30))
| ~ spl41_7
| ~ spl41_9 ),
inference(subsumption_resolution,[],[f2989,f182]) ).
fof(f182,plain,
( sP0(sK28)
| ~ spl41_9 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f2989,plain,
( p2(sK30)
| p2(sK25(sK30))
| ~ sP0(sK28)
| ~ spl41_7 ),
inference(resolution,[],[f174,f116]) ).
fof(f116,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| p2(X1)
| p2(sK25(X1))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f174,plain,
( r1(sK28,sK30)
| ~ spl41_7 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f5540,plain,
( ~ spl41_1
| ~ spl41_9
| spl41_72 ),
inference(avatar_contradiction_clause,[],[f5539]) ).
fof(f5539,plain,
( $false
| ~ spl41_1
| ~ spl41_9
| spl41_72 ),
inference(subsumption_resolution,[],[f5538,f600]) ).
fof(f600,plain,
( ~ sP1(sK28)
| spl41_72 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f599,plain,
( spl41_72
<=> sP1(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_72])]) ).
fof(f5538,plain,
( sP1(sK28)
| ~ spl41_1
| ~ spl41_9 ),
inference(subsumption_resolution,[],[f5537,f182]) ).
fof(f5537,plain,
( ~ sP0(sK28)
| sP1(sK28)
| ~ spl41_1 ),
inference(resolution,[],[f5536,f149]) ).
fof(f149,plain,
( sP6(sK28)
| ~ spl41_1 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl41_1
<=> sP6(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_1])]) ).
fof(f5536,plain,
! [X0] :
( ~ sP6(X0)
| ~ sP0(X0)
| sP1(X0) ),
inference(duplicate_literal_removal,[],[f5534]) ).
fof(f5534,plain,
! [X0] :
( ~ sP6(X0)
| ~ sP0(X0)
| sP1(X0)
| ~ sP0(X0)
| sP1(X0)
| ~ sP6(X0) ),
inference(resolution,[],[f5528,f73]) ).
fof(f73,plain,
! [X0] :
( r1(X0,sK9(X0))
| sP1(X0)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( ( ( ( p2(sK7(X0))
& ~ p2(sK8(X0))
& r1(sK7(X0),sK8(X0))
& r1(X0,sK7(X0)) )
| p2(X0) )
& ( ( ! [X4] :
( ~ p2(X4)
| ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ r1(sK9(X0),X4) )
& ~ p2(sK9(X0))
& r1(X0,sK9(X0)) )
| sP1(X0) ) )
| ~ sP6(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f17,f20,f19,f18]) ).
fof(f18,plain,
! [X0] :
( ? [X1] :
( p2(X1)
& ? [X2] :
( ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
=> ( p2(sK7(X0))
& ? [X2] :
( ~ p2(X2)
& r1(sK7(X0),X2) )
& r1(X0,sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0] :
( ? [X2] :
( ~ p2(X2)
& r1(sK7(X0),X2) )
=> ( ~ p2(sK8(X0))
& r1(sK7(X0),sK8(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f20,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(sK9(X0),X4) )
& ~ p2(sK9(X0))
& r1(X0,sK9(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f17,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) )
| sP1(X0) ) )
| ~ sP6(X0) ),
inference(rectify,[],[f16]) ).
fof(f16,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) )
| sP1(X0) ) )
| ~ sP6(X0) ),
inference(nnf_transformation,[],[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) )
| sP1(X0) ) )
| ~ sP6(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f5528,plain,
! [X0,X1] :
( ~ r1(X1,sK9(X0))
| ~ sP6(X0)
| ~ sP0(X1)
| sP1(X0)
| ~ sP0(X0) ),
inference(duplicate_literal_removal,[],[f5526]) ).
fof(f5526,plain,
! [X0,X1] :
( ~ sP6(X0)
| ~ r1(X1,sK9(X0))
| ~ sP0(X1)
| sP1(X0)
| ~ sP0(X0)
| sP1(X0)
| ~ sP6(X0) ),
inference(resolution,[],[f4016,f73]) ).
fof(f4016,plain,
! [X2,X0,X1] :
( ~ r1(X2,sK9(X0))
| ~ sP6(X0)
| ~ r1(X1,sK9(X0))
| ~ sP0(X1)
| sP1(X0)
| ~ sP0(X2) ),
inference(subsumption_resolution,[],[f4015,f74]) ).
fof(f74,plain,
! [X0] :
( ~ p2(sK9(X0))
| sP1(X0)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f4015,plain,
! [X2,X0,X1] :
( sP1(X0)
| ~ sP6(X0)
| ~ r1(X1,sK9(X0))
| ~ sP0(X1)
| p2(sK9(X0))
| ~ r1(X2,sK9(X0))
| ~ sP0(X2) ),
inference(subsumption_resolution,[],[f3996,f115]) ).
fof(f3996,plain,
! [X2,X0,X1] :
( p2(sK26(sK9(X0)))
| sP1(X0)
| ~ sP6(X0)
| ~ r1(X1,sK9(X0))
| ~ sP0(X1)
| p2(sK9(X0))
| ~ r1(X2,sK9(X0))
| ~ sP0(X2) ),
inference(resolution,[],[f1573,f114]) ).
fof(f1573,plain,
! [X2,X0,X1] :
( ~ r1(sK25(sK9(X1)),X0)
| p2(X0)
| sP1(X1)
| ~ sP6(X1)
| ~ r1(X2,sK9(X1))
| ~ sP0(X2) ),
inference(subsumption_resolution,[],[f1572,f74]) ).
fof(f1572,plain,
! [X2,X0,X1] :
( p2(X0)
| ~ r1(sK25(sK9(X1)),X0)
| sP1(X1)
| ~ sP6(X1)
| p2(sK9(X1))
| ~ r1(X2,sK9(X1))
| ~ sP0(X2) ),
inference(subsumption_resolution,[],[f1553,f116]) ).
fof(f1553,plain,
! [X2,X0,X1] :
( p2(X0)
| ~ r1(sK25(sK9(X1)),X0)
| ~ p2(sK25(sK9(X1)))
| sP1(X1)
| ~ sP6(X1)
| p2(sK9(X1))
| ~ r1(X2,sK9(X1))
| ~ sP0(X2) ),
inference(resolution,[],[f75,f113]) ).
fof(f113,plain,
! [X0,X1] :
( r1(X1,sK25(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f75,plain,
! [X0,X4,X5] :
( ~ r1(sK9(X0),X4)
| p2(X5)
| ~ r1(X4,X5)
| ~ p2(X4)
| sP1(X0)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f5458,plain,
( ~ spl41_9
| ~ spl41_7
| ~ spl41_140 ),
inference(avatar_split_clause,[],[f2980,f1220,f172,f180]) ).
fof(f2980,plain,
( ~ sP0(sK28)
| ~ spl41_7
| ~ spl41_140 ),
inference(resolution,[],[f174,f1221]) ).
fof(f1221,plain,
( ! [X0] :
( ~ r1(X0,sK30)
| ~ sP0(X0) )
| ~ spl41_140 ),
inference(avatar_component_clause,[],[f1220]) ).
fof(f5449,plain,
( spl41_220
| spl41_59
| ~ spl41_354 ),
inference(avatar_split_clause,[],[f5448,f5195,f471,f3181]) ).
fof(f3181,plain,
( spl41_220
<=> ! [X0] :
( ~ r1(X0,sK21(sK30))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_220])]) ).
fof(f471,plain,
( spl41_59
<=> p2(sK21(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_59])]) ).
fof(f5195,plain,
( spl41_354
<=> p2(sK11(sK21(sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_354])]) ).
fof(f5448,plain,
( ! [X0] :
( ~ r1(X0,sK21(sK30))
| ~ sP5(X0) )
| spl41_59
| ~ spl41_354 ),
inference(subsumption_resolution,[],[f5447,f473]) ).
fof(f473,plain,
( ~ p2(sK21(sK30))
| spl41_59 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f5447,plain,
( ! [X0] :
( p2(sK21(sK30))
| ~ r1(X0,sK21(sK30))
| ~ sP5(X0) )
| ~ spl41_354 ),
inference(resolution,[],[f5197,f85]) ).
fof(f85,plain,
! [X0,X1] :
( ~ p2(sK11(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ! [X1] :
( ( ( ( p2(sK10(X1))
& ~ p2(sK11(X1))
& r1(sK10(X1),sK11(X1))
& r1(X1,sK10(X1)) )
| p2(X1) )
& ( ( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(sK12(X1),X5) )
& ~ p2(sK12(X1))
& r1(X1,sK12(X1)) )
| sP3(X1) ) )
| ~ r1(X0,X1) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f23,f26,f25,f24]) ).
fof(f24,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK10(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK10(X1),X3) )
& r1(X1,sK10(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK10(X1),X3) )
=> ( ~ p2(sK11(X1))
& r1(sK10(X1),sK11(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f26,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(sK12(X1),X5) )
& ~ p2(sK12(X1))
& r1(X1,sK12(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f23,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) )
| sP3(X1) ) )
| ~ r1(X0,X1) )
| ~ sP5(X0) ),
inference(rectify,[],[f22]) ).
fof(f22,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) )
| sP3(X16) ) )
| ~ r1(X6,X16) )
| ~ sP5(X6) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,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) )
| sP3(X16) ) )
| ~ r1(X6,X16) )
| ~ sP5(X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f5197,plain,
( p2(sK11(sK21(sK30)))
| ~ spl41_354 ),
inference(avatar_component_clause,[],[f5195]) ).
fof(f5198,plain,
( spl41_220
| spl41_354
| spl41_59
| ~ spl41_338 ),
inference(avatar_split_clause,[],[f5193,f5079,f471,f5195,f3181]) ).
fof(f5079,plain,
( spl41_338
<=> ! [X0] :
( p2(X0)
| ~ r1(sK10(sK21(sK30)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_338])]) ).
fof(f5193,plain,
( ! [X0] :
( p2(sK11(sK21(sK30)))
| ~ r1(X0,sK21(sK30))
| ~ sP5(X0) )
| spl41_59
| ~ spl41_338 ),
inference(subsumption_resolution,[],[f5174,f473]) ).
fof(f5174,plain,
( ! [X0] :
( p2(sK11(sK21(sK30)))
| p2(sK21(sK30))
| ~ r1(X0,sK21(sK30))
| ~ sP5(X0) )
| ~ spl41_338 ),
inference(resolution,[],[f5080,f84]) ).
fof(f84,plain,
! [X0,X1] :
( r1(sK10(X1),sK11(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f5080,plain,
( ! [X0] :
( ~ r1(sK10(sK21(sK30)),X0)
| p2(X0) )
| ~ spl41_338 ),
inference(avatar_component_clause,[],[f5079]) ).
fof(f5173,plain,
( ~ spl41_4
| ~ spl41_41
| ~ spl41_220 ),
inference(avatar_contradiction_clause,[],[f5172]) ).
fof(f5172,plain,
( $false
| ~ spl41_4
| ~ spl41_41
| ~ spl41_220 ),
inference(subsumption_resolution,[],[f5171,f161]) ).
fof(f161,plain,
( sP2(sK30)
| ~ spl41_4 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f159,plain,
( spl41_4
<=> sP2(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_4])]) ).
fof(f5171,plain,
( ~ sP2(sK30)
| ~ spl41_41
| ~ spl41_220 ),
inference(subsumption_resolution,[],[f5169,f371]) ).
fof(f371,plain,
( sP5(sK30)
| ~ spl41_41 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f369,plain,
( spl41_41
<=> sP5(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_41])]) ).
fof(f5169,plain,
( ~ sP5(sK30)
| ~ sP2(sK30)
| ~ spl41_220 ),
inference(resolution,[],[f3182,f99]) ).
fof(f99,plain,
! [X0] :
( r1(X0,sK21(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ( ! [X1] :
( ( p2(sK19(X1))
& ~ p2(sK20(X1))
& r1(sK19(X1),sK20(X1))
& r1(X1,sK19(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
& ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK22(X0),X6) )
& ~ p2(sK22(X0))
& r1(sK21(X0),sK22(X0))
& r1(X0,sK21(X0)) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20,sK21,sK22])],[f41,f45,f44,f43,f42]) ).
fof(f42,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK19(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK19(X1),X3) )
& r1(X1,sK19(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK19(X1),X3) )
=> ( ~ p2(sK20(X1))
& r1(sK19(X1),sK20(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f44,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(sK21(X0),X5) )
& r1(X0,sK21(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(sK21(X0),X5) )
=> ( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK22(X0),X6) )
& ~ p2(sK22(X0))
& r1(sK21(X0),sK22(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f41,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) ) )
| ~ sP2(X0) ),
inference(rectify,[],[f40]) ).
fof(f40,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) ) )
| ~ sP2(X5) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,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) ) )
| ~ sP2(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f3182,plain,
( ! [X0] :
( ~ r1(X0,sK21(sK30))
| ~ sP5(X0) )
| ~ spl41_220 ),
inference(avatar_component_clause,[],[f3181]) ).
fof(f5147,plain,
( ~ spl41_4
| ~ spl41_41
| spl41_59
| spl41_337 ),
inference(avatar_contradiction_clause,[],[f5146]) ).
fof(f5146,plain,
( $false
| ~ spl41_4
| ~ spl41_41
| spl41_59
| spl41_337 ),
inference(subsumption_resolution,[],[f5145,f161]) ).
fof(f5145,plain,
( ~ sP2(sK30)
| ~ spl41_41
| spl41_59
| spl41_337 ),
inference(subsumption_resolution,[],[f5144,f371]) ).
fof(f5144,plain,
( ~ sP5(sK30)
| ~ sP2(sK30)
| spl41_59
| spl41_337 ),
inference(subsumption_resolution,[],[f5142,f473]) ).
fof(f5142,plain,
( p2(sK21(sK30))
| ~ sP5(sK30)
| ~ sP2(sK30)
| spl41_337 ),
inference(resolution,[],[f5077,f762]) ).
fof(f762,plain,
! [X0] :
( p2(sK10(sK21(X0)))
| p2(sK21(X0))
| ~ sP5(X0)
| ~ sP2(X0) ),
inference(resolution,[],[f86,f99]) ).
fof(f86,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| p2(X1)
| p2(sK10(X1))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f5077,plain,
( ~ p2(sK10(sK21(sK30)))
| spl41_337 ),
inference(avatar_component_clause,[],[f5075]) ).
fof(f5075,plain,
( spl41_337
<=> p2(sK10(sK21(sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_337])]) ).
fof(f5081,plain,
( spl41_220
| ~ spl41_337
| spl41_338
| spl41_59
| ~ spl41_85 ),
inference(avatar_split_clause,[],[f5073,f684,f471,f5079,f5075,f3181]) ).
fof(f684,plain,
( spl41_85
<=> ! [X0,X1] :
( ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK21(sK30),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_85])]) ).
fof(f5073,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK10(sK21(sK30)),X0)
| ~ p2(sK10(sK21(sK30)))
| ~ r1(X1,sK21(sK30))
| ~ sP5(X1) )
| spl41_59
| ~ spl41_85 ),
inference(subsumption_resolution,[],[f5058,f473]) ).
fof(f5058,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK10(sK21(sK30)),X0)
| ~ p2(sK10(sK21(sK30)))
| p2(sK21(sK30))
| ~ r1(X1,sK21(sK30))
| ~ sP5(X1) )
| ~ spl41_85 ),
inference(resolution,[],[f685,f83]) ).
fof(f83,plain,
! [X0,X1] :
( r1(X1,sK10(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f685,plain,
( ! [X0,X1] :
( ~ r1(sK21(sK30),X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ p2(X0) )
| ~ spl41_85 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f5053,plain,
( spl41_57
| ~ spl41_59
| ~ spl41_3
| ~ spl41_4
| spl41_58 ),
inference(avatar_split_clause,[],[f5052,f467,f159,f155,f471,f463]) ).
fof(f463,plain,
( spl41_57
<=> sP4(sK21(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_57])]) ).
fof(f155,plain,
( spl41_3
<=> ! [X6] :
( ~ p2(X6)
| ~ r1(sK30,X6)
| sP5(X6)
| sP4(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_3])]) ).
fof(f467,plain,
( spl41_58
<=> sP5(sK21(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_58])]) ).
fof(f5052,plain,
( ~ p2(sK21(sK30))
| sP4(sK21(sK30))
| ~ spl41_3
| ~ spl41_4
| spl41_58 ),
inference(subsumption_resolution,[],[f5039,f468]) ).
fof(f468,plain,
( ~ sP5(sK21(sK30))
| spl41_58 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f5039,plain,
( ~ p2(sK21(sK30))
| sP5(sK21(sK30))
| sP4(sK21(sK30))
| ~ spl41_3
| ~ spl41_4 ),
inference(subsumption_resolution,[],[f431,f161]) ).
fof(f431,plain,
( ~ sP2(sK30)
| ~ p2(sK21(sK30))
| sP5(sK21(sK30))
| sP4(sK21(sK30))
| ~ spl41_3 ),
inference(resolution,[],[f99,f156]) ).
fof(f156,plain,
( ! [X6] :
( ~ r1(sK30,X6)
| ~ p2(X6)
| sP5(X6)
| sP4(X6) )
| ~ spl41_3 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f5051,plain,
( ~ spl41_4
| ~ spl41_57 ),
inference(avatar_contradiction_clause,[],[f5050]) ).
fof(f5050,plain,
( $false
| ~ spl41_4
| ~ spl41_57 ),
inference(subsumption_resolution,[],[f5049,f161]) ).
fof(f5049,plain,
( ~ sP2(sK30)
| ~ spl41_57 ),
inference(resolution,[],[f5048,f465]) ).
fof(f465,plain,
( sP4(sK21(sK30))
| ~ spl41_57 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f5048,plain,
! [X0] :
( ~ sP4(sK21(X0))
| ~ sP2(X0) ),
inference(duplicate_literal_removal,[],[f5047]) ).
fof(f5047,plain,
! [X0] :
( ~ sP4(sK21(X0))
| ~ sP2(X0)
| ~ sP4(sK21(X0))
| ~ sP2(X0) ),
inference(resolution,[],[f4992,f100]) ).
fof(f100,plain,
! [X0] :
( r1(sK21(X0),sK22(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f4992,plain,
! [X0,X1] :
( ~ r1(X0,sK22(X1))
| ~ sP4(X0)
| ~ sP2(X1)
| ~ sP4(sK21(X1)) ),
inference(duplicate_literal_removal,[],[f4991]) ).
fof(f4991,plain,
! [X0,X1] :
( ~ r1(X0,sK22(X1))
| ~ sP4(X0)
| ~ sP2(X1)
| ~ sP4(sK21(X1))
| ~ sP2(X1) ),
inference(resolution,[],[f3732,f100]) ).
fof(f3732,plain,
! [X2,X0,X1] :
( ~ r1(X2,sK22(X0))
| ~ r1(X1,sK22(X0))
| ~ sP4(X1)
| ~ sP2(X0)
| ~ sP4(X2) ),
inference(subsumption_resolution,[],[f3731,f101]) ).
fof(f101,plain,
! [X0] :
( ~ p2(sK22(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f3731,plain,
! [X2,X0,X1] :
( ~ sP2(X0)
| ~ r1(X1,sK22(X0))
| ~ sP4(X1)
| p2(sK22(X0))
| ~ r1(X2,sK22(X0))
| ~ sP4(X2) ),
inference(subsumption_resolution,[],[f3712,f93]) ).
fof(f93,plain,
! [X0,X1] :
( ~ p2(sK14(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( ( ! [X1] :
( ( p2(sK13(X1))
& ~ p2(sK14(X1))
& r1(sK13(X1),sK14(X1))
& r1(X1,sK13(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
& ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK16(X0),X6) )
& ~ p2(sK16(X0))
& r1(sK15(X0),sK16(X0))
& r1(X0,sK15(X0)) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16])],[f29,f33,f32,f31,f30]) ).
fof(f30,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK13(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK13(X1),X3) )
& r1(X1,sK13(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK13(X1),X3) )
=> ( ~ p2(sK14(X1))
& r1(sK13(X1),sK14(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f32,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(sK15(X0),X5) )
& r1(X0,sK15(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X0] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(sK15(X0),X5) )
=> ( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK16(X0),X6) )
& ~ p2(sK16(X0))
& r1(sK15(X0),sK16(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f29,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) ) )
| ~ sP4(X0) ),
inference(rectify,[],[f28]) ).
fof(f28,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) ) )
| ~ sP4(X6) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,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) ) )
| ~ sP4(X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f3712,plain,
! [X2,X0,X1] :
( p2(sK14(sK22(X0)))
| ~ sP2(X0)
| ~ r1(X1,sK22(X0))
| ~ sP4(X1)
| p2(sK22(X0))
| ~ r1(X2,sK22(X0))
| ~ sP4(X2) ),
inference(resolution,[],[f1355,f92]) ).
fof(f92,plain,
! [X0,X1] :
( r1(sK13(X1),sK14(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f1355,plain,
! [X2,X0,X1] :
( ~ r1(sK13(sK22(X1)),X0)
| p2(X0)
| ~ sP2(X1)
| ~ r1(X2,sK22(X1))
| ~ sP4(X2) ),
inference(subsumption_resolution,[],[f1354,f101]) ).
fof(f1354,plain,
! [X2,X0,X1] :
( p2(X0)
| ~ r1(sK13(sK22(X1)),X0)
| ~ sP2(X1)
| p2(sK22(X1))
| ~ r1(X2,sK22(X1))
| ~ sP4(X2) ),
inference(subsumption_resolution,[],[f1339,f94]) ).
fof(f94,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| p2(X1)
| p2(sK13(X1))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f1339,plain,
! [X2,X0,X1] :
( p2(X0)
| ~ r1(sK13(sK22(X1)),X0)
| ~ p2(sK13(sK22(X1)))
| ~ sP2(X1)
| p2(sK22(X1))
| ~ r1(X2,sK22(X1))
| ~ sP4(X2) ),
inference(resolution,[],[f102,f91]) ).
fof(f91,plain,
! [X0,X1] :
( r1(X1,sK13(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f102,plain,
! [X0,X6,X7] :
( ~ r1(sK22(X0),X6)
| p2(X7)
| ~ r1(X6,X7)
| ~ p2(X6)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f5038,plain,
( ~ spl41_4
| ~ spl41_58 ),
inference(avatar_contradiction_clause,[],[f5037]) ).
fof(f5037,plain,
( $false
| ~ spl41_4
| ~ spl41_58 ),
inference(subsumption_resolution,[],[f5036,f161]) ).
fof(f5036,plain,
( ~ sP2(sK30)
| ~ spl41_58 ),
inference(resolution,[],[f5035,f469]) ).
fof(f469,plain,
( sP5(sK21(sK30))
| ~ spl41_58 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f5035,plain,
! [X0] :
( ~ sP5(sK21(X0))
| ~ sP2(X0) ),
inference(duplicate_literal_removal,[],[f5034]) ).
fof(f5034,plain,
! [X0] :
( ~ sP5(sK21(X0))
| ~ sP2(X0)
| ~ sP5(sK21(X0))
| ~ sP2(X0) ),
inference(resolution,[],[f4989,f100]) ).
fof(f4989,plain,
! [X0,X1] :
( ~ r1(X0,sK22(X1))
| ~ sP5(X0)
| ~ sP2(X1)
| ~ sP5(sK21(X1)) ),
inference(duplicate_literal_removal,[],[f4988]) ).
fof(f4988,plain,
! [X0,X1] :
( ~ r1(X0,sK22(X1))
| ~ sP5(X0)
| ~ sP2(X1)
| ~ sP5(sK21(X1))
| ~ sP2(X1) ),
inference(resolution,[],[f3701,f100]) ).
fof(f3701,plain,
! [X2,X0,X1] :
( ~ r1(X2,sK22(X0))
| ~ r1(X1,sK22(X0))
| ~ sP5(X1)
| ~ sP2(X0)
| ~ sP5(X2) ),
inference(subsumption_resolution,[],[f3700,f101]) ).
fof(f3700,plain,
! [X2,X0,X1] :
( ~ sP2(X0)
| ~ r1(X1,sK22(X0))
| ~ sP5(X1)
| p2(sK22(X0))
| ~ r1(X2,sK22(X0))
| ~ sP5(X2) ),
inference(subsumption_resolution,[],[f3681,f85]) ).
fof(f3681,plain,
! [X2,X0,X1] :
( p2(sK11(sK22(X0)))
| ~ sP2(X0)
| ~ r1(X1,sK22(X0))
| ~ sP5(X1)
| p2(sK22(X0))
| ~ r1(X2,sK22(X0))
| ~ sP5(X2) ),
inference(resolution,[],[f1353,f84]) ).
fof(f1353,plain,
! [X2,X0,X1] :
( ~ r1(sK10(sK22(X1)),X0)
| p2(X0)
| ~ sP2(X1)
| ~ r1(X2,sK22(X1))
| ~ sP5(X2) ),
inference(subsumption_resolution,[],[f1352,f101]) ).
fof(f1352,plain,
! [X2,X0,X1] :
( p2(X0)
| ~ r1(sK10(sK22(X1)),X0)
| ~ sP2(X1)
| p2(sK22(X1))
| ~ r1(X2,sK22(X1))
| ~ sP5(X2) ),
inference(subsumption_resolution,[],[f1337,f86]) ).
fof(f1337,plain,
! [X2,X0,X1] :
( p2(X0)
| ~ r1(sK10(sK22(X1)),X0)
| ~ p2(sK10(sK22(X1)))
| ~ sP2(X1)
| p2(sK22(X1))
| ~ r1(X2,sK22(X1))
| ~ sP5(X2) ),
inference(resolution,[],[f102,f83]) ).
fof(f4889,plain,
( spl41_276
| spl41_50
| ~ spl41_307 ),
inference(avatar_split_clause,[],[f4888,f4818,f423,f4602]) ).
fof(f4602,plain,
( spl41_276
<=> ! [X1] :
( ~ r1(X1,sK15(sK30))
| ~ sP4(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_276])]) ).
fof(f423,plain,
( spl41_50
<=> p2(sK15(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_50])]) ).
fof(f4818,plain,
( spl41_307
<=> p2(sK14(sK15(sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_307])]) ).
fof(f4888,plain,
( ! [X0] :
( ~ r1(X0,sK15(sK30))
| ~ sP4(X0) )
| spl41_50
| ~ spl41_307 ),
inference(subsumption_resolution,[],[f4887,f425]) ).
fof(f425,plain,
( ~ p2(sK15(sK30))
| spl41_50 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f4887,plain,
( ! [X0] :
( p2(sK15(sK30))
| ~ r1(X0,sK15(sK30))
| ~ sP4(X0) )
| ~ spl41_307 ),
inference(resolution,[],[f4820,f93]) ).
fof(f4820,plain,
( p2(sK14(sK15(sK30)))
| ~ spl41_307 ),
inference(avatar_component_clause,[],[f4818]) ).
fof(f4821,plain,
( spl41_276
| spl41_307
| spl41_50
| ~ spl41_278 ),
inference(avatar_split_clause,[],[f4816,f4609,f423,f4818,f4602]) ).
fof(f4609,plain,
( spl41_278
<=> ! [X0] :
( p2(X0)
| ~ r1(sK13(sK15(sK30)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_278])]) ).
fof(f4816,plain,
( ! [X0] :
( p2(sK14(sK15(sK30)))
| ~ r1(X0,sK15(sK30))
| ~ sP4(X0) )
| spl41_50
| ~ spl41_278 ),
inference(subsumption_resolution,[],[f4797,f425]) ).
fof(f4797,plain,
( ! [X0] :
( p2(sK14(sK15(sK30)))
| p2(sK15(sK30))
| ~ r1(X0,sK15(sK30))
| ~ sP4(X0) )
| ~ spl41_278 ),
inference(resolution,[],[f4610,f92]) ).
fof(f4610,plain,
( ! [X0] :
( ~ r1(sK13(sK15(sK30)),X0)
| p2(X0) )
| ~ spl41_278 ),
inference(avatar_component_clause,[],[f4609]) ).
fof(f4777,plain,
( ~ spl41_40
| ~ spl41_48 ),
inference(avatar_contradiction_clause,[],[f4776]) ).
fof(f4776,plain,
( $false
| ~ spl41_40
| ~ spl41_48 ),
inference(subsumption_resolution,[],[f4775,f367]) ).
fof(f367,plain,
( sP4(sK30)
| ~ spl41_40 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f365,plain,
( spl41_40
<=> sP4(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_40])]) ).
fof(f4775,plain,
( ~ sP4(sK30)
| ~ spl41_48 ),
inference(resolution,[],[f4771,f417]) ).
fof(f417,plain,
( sP4(sK15(sK30))
| ~ spl41_48 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f415,plain,
( spl41_48
<=> sP4(sK15(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_48])]) ).
fof(f4771,plain,
! [X0] :
( ~ sP4(sK15(X0))
| ~ sP4(X0) ),
inference(duplicate_literal_removal,[],[f4770]) ).
fof(f4770,plain,
! [X0] :
( ~ sP4(sK15(X0))
| ~ sP4(X0)
| ~ sP4(sK15(X0))
| ~ sP4(X0) ),
inference(resolution,[],[f4549,f88]) ).
fof(f88,plain,
! [X0] :
( r1(sK15(X0),sK16(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f4549,plain,
! [X0,X1] :
( ~ r1(X0,sK16(X1))
| ~ sP4(X0)
| ~ sP4(X1)
| ~ sP4(sK15(X1)) ),
inference(duplicate_literal_removal,[],[f4548]) ).
fof(f4548,plain,
! [X0,X1] :
( ~ r1(X0,sK16(X1))
| ~ sP4(X0)
| ~ sP4(X1)
| ~ sP4(sK15(X1))
| ~ sP4(X1) ),
inference(resolution,[],[f3629,f88]) ).
fof(f3629,plain,
! [X2,X0,X1] :
( ~ r1(X2,sK16(X0))
| ~ r1(X1,sK16(X0))
| ~ sP4(X1)
| ~ sP4(X0)
| ~ sP4(X2) ),
inference(subsumption_resolution,[],[f3628,f89]) ).
fof(f89,plain,
! [X0] :
( ~ p2(sK16(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f3628,plain,
! [X2,X0,X1] :
( ~ sP4(X0)
| ~ r1(X1,sK16(X0))
| ~ sP4(X1)
| p2(sK16(X0))
| ~ r1(X2,sK16(X0))
| ~ sP4(X2) ),
inference(subsumption_resolution,[],[f3609,f93]) ).
fof(f3609,plain,
! [X2,X0,X1] :
( p2(sK14(sK16(X0)))
| ~ sP4(X0)
| ~ r1(X1,sK16(X0))
| ~ sP4(X1)
| p2(sK16(X0))
| ~ r1(X2,sK16(X0))
| ~ sP4(X2) ),
inference(resolution,[],[f1288,f92]) ).
fof(f1288,plain,
! [X2,X0,X1] :
( ~ r1(sK13(sK16(X1)),X0)
| p2(X0)
| ~ sP4(X1)
| ~ r1(X2,sK16(X1))
| ~ sP4(X2) ),
inference(subsumption_resolution,[],[f1287,f89]) ).
fof(f1287,plain,
! [X2,X0,X1] :
( p2(X0)
| ~ r1(sK13(sK16(X1)),X0)
| ~ sP4(X1)
| p2(sK16(X1))
| ~ r1(X2,sK16(X1))
| ~ sP4(X2) ),
inference(subsumption_resolution,[],[f1272,f94]) ).
fof(f1272,plain,
! [X2,X0,X1] :
( p2(X0)
| ~ r1(sK13(sK16(X1)),X0)
| ~ p2(sK13(sK16(X1)))
| ~ sP4(X1)
| p2(sK16(X1))
| ~ r1(X2,sK16(X1))
| ~ sP4(X2) ),
inference(resolution,[],[f90,f91]) ).
fof(f90,plain,
! [X0,X6,X7] :
( ~ r1(sK16(X0),X6)
| p2(X7)
| ~ r1(X6,X7)
| ~ p2(X6)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f4755,plain,
( ~ spl41_40
| ~ spl41_276 ),
inference(avatar_contradiction_clause,[],[f4754]) ).
fof(f4754,plain,
( $false
| ~ spl41_40
| ~ spl41_276 ),
inference(subsumption_resolution,[],[f4753,f367]) ).
fof(f4753,plain,
( ~ sP4(sK30)
| ~ spl41_276 ),
inference(duplicate_literal_removal,[],[f4751]) ).
fof(f4751,plain,
( ~ sP4(sK30)
| ~ sP4(sK30)
| ~ spl41_276 ),
inference(resolution,[],[f4603,f87]) ).
fof(f87,plain,
! [X0] :
( r1(X0,sK15(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f4603,plain,
( ! [X1] :
( ~ r1(X1,sK15(sK30))
| ~ sP4(X1) )
| ~ spl41_276 ),
inference(avatar_component_clause,[],[f4602]) ).
fof(f4731,plain,
( ~ spl41_40
| spl41_50
| spl41_277 ),
inference(avatar_contradiction_clause,[],[f4730]) ).
fof(f4730,plain,
( $false
| ~ spl41_40
| spl41_50
| spl41_277 ),
inference(subsumption_resolution,[],[f4729,f367]) ).
fof(f4729,plain,
( ~ sP4(sK30)
| spl41_50
| spl41_277 ),
inference(subsumption_resolution,[],[f4727,f425]) ).
fof(f4727,plain,
( p2(sK15(sK30))
| ~ sP4(sK30)
| spl41_277 ),
inference(resolution,[],[f4607,f818]) ).
fof(f818,plain,
! [X0] :
( p2(sK13(sK15(X0)))
| p2(sK15(X0))
| ~ sP4(X0) ),
inference(duplicate_literal_removal,[],[f805]) ).
fof(f805,plain,
! [X0] :
( p2(sK15(X0))
| p2(sK13(sK15(X0)))
| ~ sP4(X0)
| ~ sP4(X0) ),
inference(resolution,[],[f94,f87]) ).
fof(f4607,plain,
( ~ p2(sK13(sK15(sK30)))
| spl41_277 ),
inference(avatar_component_clause,[],[f4605]) ).
fof(f4605,plain,
( spl41_277
<=> p2(sK13(sK15(sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_277])]) ).
fof(f4611,plain,
( spl41_276
| ~ spl41_277
| spl41_278
| spl41_50
| ~ spl41_84 ),
inference(avatar_split_clause,[],[f4600,f679,f423,f4609,f4605,f4602]) ).
fof(f679,plain,
( spl41_84
<=> ! [X0,X1] :
( ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK15(sK30),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_84])]) ).
fof(f4600,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK13(sK15(sK30)),X0)
| ~ p2(sK13(sK15(sK30)))
| ~ r1(X1,sK15(sK30))
| ~ sP4(X1) )
| spl41_50
| ~ spl41_84 ),
inference(subsumption_resolution,[],[f4562,f425]) ).
fof(f4562,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK13(sK15(sK30)),X0)
| ~ p2(sK13(sK15(sK30)))
| p2(sK15(sK30))
| ~ r1(X1,sK15(sK30))
| ~ sP4(X1) )
| ~ spl41_84 ),
inference(resolution,[],[f680,f91]) ).
fof(f680,plain,
( ! [X0,X1] :
( ~ r1(sK15(sK30),X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ p2(X0) )
| ~ spl41_84 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f4555,plain,
( ~ spl41_40
| ~ spl41_49 ),
inference(avatar_contradiction_clause,[],[f4554]) ).
fof(f4554,plain,
( $false
| ~ spl41_40
| ~ spl41_49 ),
inference(subsumption_resolution,[],[f4553,f367]) ).
fof(f4553,plain,
( ~ sP4(sK30)
| ~ spl41_49 ),
inference(resolution,[],[f4552,f421]) ).
fof(f421,plain,
( sP5(sK15(sK30))
| ~ spl41_49 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f419,plain,
( spl41_49
<=> sP5(sK15(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_49])]) ).
fof(f4552,plain,
! [X0] :
( ~ sP5(sK15(X0))
| ~ sP4(X0) ),
inference(duplicate_literal_removal,[],[f4551]) ).
fof(f4551,plain,
! [X0] :
( ~ sP5(sK15(X0))
| ~ sP4(X0)
| ~ sP5(sK15(X0))
| ~ sP4(X0) ),
inference(resolution,[],[f4542,f88]) ).
fof(f4542,plain,
! [X0,X1] :
( ~ r1(X0,sK16(X1))
| ~ sP5(X0)
| ~ sP4(X1)
| ~ sP5(sK15(X1)) ),
inference(duplicate_literal_removal,[],[f4541]) ).
fof(f4541,plain,
! [X0,X1] :
( ~ r1(X0,sK16(X1))
| ~ sP5(X0)
| ~ sP4(X1)
| ~ sP5(sK15(X1))
| ~ sP4(X1) ),
inference(resolution,[],[f3605,f88]) ).
fof(f3605,plain,
! [X2,X0,X1] :
( ~ r1(X2,sK16(X0))
| ~ r1(X1,sK16(X0))
| ~ sP5(X1)
| ~ sP4(X0)
| ~ sP5(X2) ),
inference(subsumption_resolution,[],[f3604,f89]) ).
fof(f3604,plain,
! [X2,X0,X1] :
( ~ sP4(X0)
| ~ r1(X1,sK16(X0))
| ~ sP5(X1)
| p2(sK16(X0))
| ~ r1(X2,sK16(X0))
| ~ sP5(X2) ),
inference(subsumption_resolution,[],[f3585,f85]) ).
fof(f3585,plain,
! [X2,X0,X1] :
( p2(sK11(sK16(X0)))
| ~ sP4(X0)
| ~ r1(X1,sK16(X0))
| ~ sP5(X1)
| p2(sK16(X0))
| ~ r1(X2,sK16(X0))
| ~ sP5(X2) ),
inference(resolution,[],[f1286,f84]) ).
fof(f1286,plain,
! [X2,X0,X1] :
( ~ r1(sK10(sK16(X1)),X0)
| p2(X0)
| ~ sP4(X1)
| ~ r1(X2,sK16(X1))
| ~ sP5(X2) ),
inference(subsumption_resolution,[],[f1285,f89]) ).
fof(f1285,plain,
! [X2,X0,X1] :
( p2(X0)
| ~ r1(sK10(sK16(X1)),X0)
| ~ sP4(X1)
| p2(sK16(X1))
| ~ r1(X2,sK16(X1))
| ~ sP5(X2) ),
inference(subsumption_resolution,[],[f1270,f86]) ).
fof(f1270,plain,
! [X2,X0,X1] :
( p2(X0)
| ~ r1(sK10(sK16(X1)),X0)
| ~ p2(sK10(sK16(X1)))
| ~ sP4(X1)
| p2(sK16(X1))
| ~ r1(X2,sK16(X1))
| ~ sP5(X2) ),
inference(resolution,[],[f90,f83]) ).
fof(f3556,plain,
( spl41_6
| ~ spl41_7
| ~ spl41_13
| ~ spl41_14
| ~ spl41_191 ),
inference(avatar_contradiction_clause,[],[f3555]) ).
fof(f3555,plain,
( $false
| spl41_6
| ~ spl41_7
| ~ spl41_13
| ~ spl41_14
| ~ spl41_191 ),
inference(subsumption_resolution,[],[f3554,f169]) ).
fof(f3554,plain,
( p2(sK30)
| spl41_6
| ~ spl41_7
| ~ spl41_13
| ~ spl41_14
| ~ spl41_191 ),
inference(subsumption_resolution,[],[f3553,f174]) ).
fof(f3553,plain,
( ~ r1(sK28,sK30)
| p2(sK30)
| spl41_6
| ~ spl41_7
| ~ spl41_13
| ~ spl41_14
| ~ spl41_191 ),
inference(resolution,[],[f3458,f197]) ).
fof(f197,plain,
( ! [X21] :
( ~ p2(sK39(X21))
| ~ r1(sK28,X21)
| p2(X21) )
| ~ spl41_13 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f196,plain,
( spl41_13
<=> ! [X21] :
( ~ p2(sK39(X21))
| ~ r1(sK28,X21)
| p2(X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_13])]) ).
fof(f3458,plain,
( p2(sK39(sK30))
| spl41_6
| ~ spl41_7
| ~ spl41_14
| ~ spl41_191 ),
inference(subsumption_resolution,[],[f3457,f169]) ).
fof(f3457,plain,
( p2(sK39(sK30))
| p2(sK30)
| ~ spl41_7
| ~ spl41_14
| ~ spl41_191 ),
inference(subsumption_resolution,[],[f3438,f174]) ).
fof(f3438,plain,
( p2(sK39(sK30))
| ~ r1(sK28,sK30)
| p2(sK30)
| ~ spl41_14
| ~ spl41_191 ),
inference(resolution,[],[f2930,f201]) ).
fof(f201,plain,
( ! [X21] :
( r1(sK38(X21),sK39(X21))
| ~ r1(sK28,X21)
| p2(X21) )
| ~ spl41_14 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f200,plain,
( spl41_14
<=> ! [X21] :
( r1(sK38(X21),sK39(X21))
| ~ r1(sK28,X21)
| p2(X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_14])]) ).
fof(f2930,plain,
( ! [X0] :
( ~ r1(sK38(sK30),X0)
| p2(X0) )
| ~ spl41_191 ),
inference(avatar_component_clause,[],[f2929]) ).
fof(f2929,plain,
( spl41_191
<=> ! [X0] :
( ~ r1(sK38(sK30),X0)
| p2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_191])]) ).
fof(f3335,plain,
( spl41_6
| spl41_190
| ~ spl41_7
| ~ spl41_12 ),
inference(avatar_split_clause,[],[f2969,f192,f172,f2923,f167]) ).
fof(f2923,plain,
( spl41_190
<=> p2(sK38(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_190])]) ).
fof(f192,plain,
( spl41_12
<=> ! [X21] :
( p2(sK38(X21))
| ~ r1(sK28,X21)
| p2(X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_12])]) ).
fof(f2969,plain,
( p2(sK38(sK30))
| p2(sK30)
| ~ spl41_7
| ~ spl41_12 ),
inference(resolution,[],[f174,f193]) ).
fof(f193,plain,
( ! [X21] :
( ~ r1(sK28,X21)
| p2(sK38(X21))
| p2(X21) )
| ~ spl41_12 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f3334,plain,
( spl41_191
| ~ spl41_190
| spl41_6
| ~ spl41_5
| ~ spl41_7
| ~ spl41_15 ),
inference(avatar_split_clause,[],[f3333,f204,f172,f163,f167,f2923,f2929]) ).
fof(f163,plain,
( spl41_5
<=> ! [X9,X10] :
( ~ p2(X9)
| ~ r1(sK30,X9)
| ~ r1(X9,X10)
| p2(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_5])]) ).
fof(f204,plain,
( spl41_15
<=> ! [X21] :
( r1(X21,sK38(X21))
| ~ r1(sK28,X21)
| p2(X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_15])]) ).
fof(f3333,plain,
( ! [X0] :
( p2(sK30)
| ~ p2(sK38(sK30))
| ~ r1(sK38(sK30),X0)
| p2(X0) )
| ~ spl41_5
| ~ spl41_7
| ~ spl41_15 ),
inference(subsumption_resolution,[],[f982,f174]) ).
fof(f982,plain,
( ! [X0] :
( ~ r1(sK28,sK30)
| p2(sK30)
| ~ p2(sK38(sK30))
| ~ r1(sK38(sK30),X0)
| p2(X0) )
| ~ spl41_5
| ~ spl41_15 ),
inference(resolution,[],[f205,f164]) ).
fof(f164,plain,
( ! [X10,X9] :
( ~ r1(sK30,X9)
| ~ p2(X9)
| ~ r1(X9,X10)
| p2(X10) )
| ~ spl41_5 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f205,plain,
( ! [X21] :
( r1(X21,sK38(X21))
| ~ r1(sK28,X21)
| p2(X21) )
| ~ spl41_15 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f2999,plain,
( ~ spl41_4
| spl41_6
| ~ spl41_7 ),
inference(avatar_split_clause,[],[f2972,f172,f167,f159]) ).
fof(f2972,plain,
( p2(sK30)
| ~ sP2(sK30)
| ~ spl41_7 ),
inference(resolution,[],[f174,f2331]) ).
fof(f2331,plain,
! [X0] :
( ~ r1(sK28,X0)
| p2(X0)
| ~ sP2(X0) ),
inference(duplicate_literal_removal,[],[f2329]) ).
fof(f2329,plain,
! [X0] :
( p2(X0)
| ~ r1(sK28,X0)
| ~ sP2(X0)
| ~ sP2(X0)
| p2(X0)
| ~ r1(sK28,X0) ),
inference(resolution,[],[f2328,f142]) ).
fof(f142,plain,
! [X1] :
( r1(X1,sK29(X1))
| p2(X1)
| ~ r1(sK28,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
( ! [X1] :
( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK29(X1),X3) )
& ~ p2(sK29(X1))
& r1(X1,sK29(X1)) )
| p2(X1)
| ~ r1(sK28,X1) )
& ( ( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP4(X6)
| sP5(X6)
| ~ r1(sK30,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(sK30,X9) )
& ~ p2(sK30) )
| sP2(sK30) )
& r1(sK28,sK30) )
| sP6(sK28) )
& ! [X11] :
( ( p1(sK31(X11))
& ~ p1(sK32(X11))
& r1(sK31(X11),sK32(X11))
& r1(X11,sK31(X11)) )
| p1(X11)
| ~ r1(sK28,X11) )
& ~ p1(sK33)
& r1(sK28,sK33)
& ( sP0(sK28)
| ! [X15] :
( ( p3(sK34(X15))
& r1(X15,sK34(X15)) )
| ~ r1(sK28,X15) ) )
& ! [X17] :
( ( p4(sK35(X17))
& ~ p4(sK36(X17))
& r1(sK35(X17),sK36(X17))
& r1(X17,sK35(X17)) )
| p4(X17)
| ~ r1(sK28,X17) )
& ~ p4(sK37)
& r1(sK28,sK37)
& ( ( ! [X21] :
( ( p2(sK38(X21))
& ~ p2(sK39(X21))
& r1(sK38(X21),sK39(X21))
& r1(X21,sK38(X21)) )
| p2(X21)
| ~ r1(sK28,X21) )
& ~ p2(sK40)
& r1(sK28,sK40) )
| ! [X25] :
( ~ p3(X25)
| ~ r1(sK28,X25) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40])],[f58,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59]) ).
fof(f59,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) )
| sP4(X6)
| sP5(X6)
| ~ r1(X5,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(X5,X9) )
& ~ p2(X5) )
| sP2(X5) )
& r1(X0,X5) )
| sP6(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) )
& ( sP0(X0)
| ! [X15] :
( ? [X16] :
( p3(X16)
& r1(X15,X16) )
| ~ r1(X0,X15) ) )
& ! [X17] :
( ? [X18] :
( p4(X18)
& ? [X19] :
( ~ p4(X19)
& r1(X18,X19) )
& r1(X17,X18) )
| p4(X17)
| ~ r1(X0,X17) )
& ? [X20] :
( ~ p4(X20)
& r1(X0,X20) )
& ( ( ! [X21] :
( ? [X22] :
( p2(X22)
& ? [X23] :
( ~ p2(X23)
& r1(X22,X23) )
& r1(X21,X22) )
| p2(X21)
| ~ r1(X0,X21) )
& ? [X24] :
( ~ p2(X24)
& r1(X0,X24) ) )
| ! [X25] :
( ~ p3(X25)
| ~ r1(X0,X25) ) ) )
=> ( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(sK28,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP4(X6)
| sP5(X6)
| ~ r1(X5,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(X5,X9) )
& ~ p2(X5) )
| sP2(X5) )
& r1(sK28,X5) )
| sP6(sK28) )
& ! [X11] :
( ? [X12] :
( p1(X12)
& ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
& r1(X11,X12) )
| p1(X11)
| ~ r1(sK28,X11) )
& ? [X14] :
( ~ p1(X14)
& r1(sK28,X14) )
& ( sP0(sK28)
| ! [X15] :
( ? [X16] :
( p3(X16)
& r1(X15,X16) )
| ~ r1(sK28,X15) ) )
& ! [X17] :
( ? [X18] :
( p4(X18)
& ? [X19] :
( ~ p4(X19)
& r1(X18,X19) )
& r1(X17,X18) )
| p4(X17)
| ~ r1(sK28,X17) )
& ? [X20] :
( ~ p4(X20)
& r1(sK28,X20) )
& ( ( ! [X21] :
( ? [X22] :
( p2(X22)
& ? [X23] :
( ~ p2(X23)
& r1(X22,X23) )
& r1(X21,X22) )
| p2(X21)
| ~ r1(sK28,X21) )
& ? [X24] :
( ~ p2(X24)
& r1(sK28,X24) ) )
| ! [X25] :
( ~ p3(X25)
| ~ r1(sK28,X25) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f60,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(sK29(X1),X3) )
& ~ p2(sK29(X1))
& r1(X1,sK29(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
( ? [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP4(X6)
| sP5(X6)
| ~ r1(X5,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(X5,X9) )
& ~ p2(X5) )
| sP2(X5) )
& r1(sK28,X5) )
=> ( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP4(X6)
| sP5(X6)
| ~ r1(sK30,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(sK30,X9) )
& ~ p2(sK30) )
| sP2(sK30) )
& r1(sK28,sK30) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
! [X11] :
( ? [X12] :
( p1(X12)
& ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
& r1(X11,X12) )
=> ( p1(sK31(X11))
& ? [X13] :
( ~ p1(X13)
& r1(sK31(X11),X13) )
& r1(X11,sK31(X11)) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X11] :
( ? [X13] :
( ~ p1(X13)
& r1(sK31(X11),X13) )
=> ( ~ p1(sK32(X11))
& r1(sK31(X11),sK32(X11)) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
( ? [X14] :
( ~ p1(X14)
& r1(sK28,X14) )
=> ( ~ p1(sK33)
& r1(sK28,sK33) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
! [X15] :
( ? [X16] :
( p3(X16)
& r1(X15,X16) )
=> ( p3(sK34(X15))
& r1(X15,sK34(X15)) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X17] :
( ? [X18] :
( p4(X18)
& ? [X19] :
( ~ p4(X19)
& r1(X18,X19) )
& r1(X17,X18) )
=> ( p4(sK35(X17))
& ? [X19] :
( ~ p4(X19)
& r1(sK35(X17),X19) )
& r1(X17,sK35(X17)) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X17] :
( ? [X19] :
( ~ p4(X19)
& r1(sK35(X17),X19) )
=> ( ~ p4(sK36(X17))
& r1(sK35(X17),sK36(X17)) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
( ? [X20] :
( ~ p4(X20)
& r1(sK28,X20) )
=> ( ~ p4(sK37)
& r1(sK28,sK37) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X21] :
( ? [X22] :
( p2(X22)
& ? [X23] :
( ~ p2(X23)
& r1(X22,X23) )
& r1(X21,X22) )
=> ( p2(sK38(X21))
& ? [X23] :
( ~ p2(X23)
& r1(sK38(X21),X23) )
& r1(X21,sK38(X21)) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X21] :
( ? [X23] :
( ~ p2(X23)
& r1(sK38(X21),X23) )
=> ( ~ p2(sK39(X21))
& r1(sK38(X21),sK39(X21)) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
( ? [X24] :
( ~ p2(X24)
& r1(sK28,X24) )
=> ( ~ p2(sK40)
& r1(sK28,sK40) ) ),
introduced(choice_axiom,[]) ).
fof(f58,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) )
| sP4(X6)
| sP5(X6)
| ~ r1(X5,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(X5,X9) )
& ~ p2(X5) )
| sP2(X5) )
& r1(X0,X5) )
| sP6(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) )
& ( sP0(X0)
| ! [X15] :
( ? [X16] :
( p3(X16)
& r1(X15,X16) )
| ~ r1(X0,X15) ) )
& ! [X17] :
( ? [X18] :
( p4(X18)
& ? [X19] :
( ~ p4(X19)
& r1(X18,X19) )
& r1(X17,X18) )
| p4(X17)
| ~ r1(X0,X17) )
& ? [X20] :
( ~ p4(X20)
& r1(X0,X20) )
& ( ( ! [X21] :
( ? [X22] :
( p2(X22)
& ? [X23] :
( ~ p2(X23)
& r1(X22,X23) )
& r1(X21,X22) )
| p2(X21)
| ~ r1(X0,X21) )
& ? [X24] :
( ~ p2(X24)
& r1(X0,X24) ) )
| ! [X25] :
( ~ p3(X25)
| ~ r1(X0,X25) ) ) ),
inference(rectify,[],[f15]) ).
fof(f15,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) )
| sP4(X6)
| sP5(X6)
| ~ r1(X5,X6) )
& ( ( ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
& ~ p2(X5) )
| sP2(X5) )
& r1(X0,X5) )
| sP6(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) )
& ( sP0(X0)
| ! [X52] :
( ? [X53] :
( p3(X53)
& r1(X52,X53) )
| ~ r1(X0,X52) ) )
& ! [X54] :
( ? [X55] :
( p4(X55)
& ? [X56] :
( ~ p4(X56)
& r1(X55,X56) )
& r1(X54,X55) )
| p4(X54)
| ~ r1(X0,X54) )
& ? [X57] :
( ~ p4(X57)
& r1(X0,X57) )
& ( ( ! [X58] :
( ? [X59] :
( p2(X59)
& ? [X60] :
( ~ p2(X60)
& r1(X59,X60) )
& r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
& ? [X61] :
( ~ p2(X61)
& r1(X0,X61) ) )
| ! [X62] :
( ~ p3(X62)
| ~ r1(X0,X62) ) ) ),
inference(definition_folding,[],[f7,f14,f13,f12,f11,f10,f9,f8]) ).
fof(f9,plain,
! [X0] :
( ! [X40] :
( ! [X41] :
( ? [X42] :
( p2(X42)
& ? [X43] :
( ~ p2(X43)
& r1(X42,X43) )
& r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f11,plain,
! [X16] :
( ! [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] :
( ~ p2(X25)
& r1(X24,X25) )
& r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) )
| ~ sP3(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f7,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)
& r1(X52,X53) )
| ~ r1(X0,X52) ) )
& ! [X54] :
( ? [X55] :
( p4(X55)
& ? [X56] :
( ~ p4(X56)
& r1(X55,X56) )
& r1(X54,X55) )
| p4(X54)
| ~ r1(X0,X54) )
& ? [X57] :
( ~ p4(X57)
& r1(X0,X57) )
& ( ( ! [X58] :
( ? [X59] :
( p2(X59)
& ? [X60] :
( ~ p2(X60)
& r1(X59,X60) )
& r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
& ? [X61] :
( ~ p2(X61)
& r1(X0,X61) ) )
| ! [X62] :
( ~ p3(X62)
| ~ r1(X0,X62) ) ) ),
inference(flattening,[],[f6]) ).
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)
& r1(X52,X53) )
| ~ r1(X0,X52) ) )
& ! [X54] :
( ? [X55] :
( p4(X55)
& ? [X56] :
( ~ p4(X56)
& r1(X55,X56) )
& r1(X54,X55) )
| p4(X54)
| ~ r1(X0,X54) )
& ? [X57] :
( ~ p4(X57)
& r1(X0,X57) )
& ( ( ! [X58] :
( ? [X59] :
( p2(X59)
& ? [X60] :
( ~ p2(X60)
& r1(X59,X60) )
& r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
& ? [X61] :
( ~ p2(X61)
& r1(X0,X61) ) )
| ! [X62] :
( ~ p3(X62)
| ~ r1(X0,X62) ) ) ),
inference(ennf_transformation,[],[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)
| ~ r1(X52,X53) )
| ~ r1(X0,X52) ) )
| ~ ! [X54] :
( ~ ! [X55] :
( ~ p4(X55)
| ! [X56] :
( p4(X56)
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| p4(X54)
| ~ r1(X0,X54) )
| ! [X57] :
( p4(X57)
| ~ r1(X0,X57) )
| ( ( ~ ! [X58] :
( ~ ! [X59] :
( ~ p2(X59)
| ! [X60] :
( p2(X60)
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
| ! [X61] :
( p2(X61)
| ~ r1(X0,X61) ) )
& ~ ! [X62] :
( ~ p3(X62)
| ~ r1(X0,X62) ) ) ),
inference(flattening,[],[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)
| ~ r1(X52,X53) )
| ~ r1(X0,X52) ) )
| ~ ! [X54] :
( ~ ! [X55] :
( ~ p4(X55)
| ! [X56] :
( p4(X56)
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| p4(X54)
| ~ r1(X0,X54) )
| ! [X57] :
( p4(X57)
| ~ r1(X0,X57) )
| ( ( ~ ! [X58] :
( ~ ! [X59] :
( ~ p2(X59)
| ! [X60] :
( p2(X60)
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
| ! [X61] :
( p2(X61)
| ~ r1(X0,X61) ) )
& ~ ! [X62] :
( ~ p3(X62)
| ~ r1(X0,X62) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,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)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p4(X0)
| ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p4(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] :
( ~ p3(X1)
| ~ r1(X0,X1) ) ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,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)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p4(X0)
| ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p4(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] :
( ~ p3(X1)
| ~ r1(X0,X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.vsMOz091gF/Vampire---4.8_17387',main) ).
fof(f2328,plain,
! [X0,X1] :
( ~ r1(X0,sK29(X1))
| p2(X1)
| ~ r1(sK28,X1)
| ~ sP2(X0)
| ~ sP2(X1) ),
inference(duplicate_literal_removal,[],[f2326]) ).
fof(f2326,plain,
! [X0,X1] :
( ~ r1(X0,sK29(X1))
| p2(X1)
| ~ r1(sK28,X1)
| ~ sP2(X0)
| ~ sP2(X1)
| p2(X1)
| ~ r1(sK28,X1) ),
inference(resolution,[],[f2024,f142]) ).
fof(f2024,plain,
! [X2,X0,X1] :
( ~ r1(X2,sK29(X1))
| ~ r1(X0,sK29(X1))
| p2(X1)
| ~ r1(sK28,X1)
| ~ sP2(X0)
| ~ sP2(X2) ),
inference(subsumption_resolution,[],[f2023,f143]) ).
fof(f143,plain,
! [X1] :
( ~ p2(sK29(X1))
| p2(X1)
| ~ r1(sK28,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f2023,plain,
! [X2,X0,X1] :
( ~ sP2(X0)
| ~ r1(X0,sK29(X1))
| p2(X1)
| ~ r1(sK28,X1)
| p2(sK29(X1))
| ~ r1(X2,sK29(X1))
| ~ sP2(X2) ),
inference(subsumption_resolution,[],[f2022,f106]) ).
fof(f106,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| p2(X1)
| p2(sK19(X1))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f2022,plain,
! [X2,X0,X1] :
( ~ sP2(X0)
| ~ r1(X0,sK29(X1))
| ~ p2(sK19(sK29(X1)))
| p2(X1)
| ~ r1(sK28,X1)
| p2(sK29(X1))
| ~ r1(X2,sK29(X1))
| ~ sP2(X2) ),
inference(subsumption_resolution,[],[f2003,f105]) ).
fof(f105,plain,
! [X0,X1] :
( ~ p2(sK20(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f2003,plain,
! [X2,X0,X1] :
( ~ sP2(X0)
| p2(sK20(sK29(X1)))
| ~ r1(X0,sK29(X1))
| ~ p2(sK19(sK29(X1)))
| p2(X1)
| ~ r1(sK28,X1)
| p2(sK29(X1))
| ~ r1(X2,sK29(X1))
| ~ sP2(X2) ),
inference(resolution,[],[f1161,f104]) ).
fof(f104,plain,
! [X0,X1] :
( r1(sK19(X1),sK20(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f1161,plain,
! [X2,X0,X1] :
( ~ r1(sK19(sK29(X0)),X2)
| ~ sP2(X1)
| p2(X2)
| ~ r1(X1,sK29(X0))
| ~ p2(sK19(sK29(X0)))
| p2(X0)
| ~ r1(sK28,X0) ),
inference(subsumption_resolution,[],[f1155,f143]) ).
fof(f1155,plain,
! [X2,X0,X1] :
( p2(sK29(X0))
| ~ r1(X1,sK29(X0))
| ~ sP2(X1)
| p2(X2)
| ~ r1(sK19(sK29(X0)),X2)
| ~ p2(sK19(sK29(X0)))
| p2(X0)
| ~ r1(sK28,X0) ),
inference(resolution,[],[f103,f144]) ).
fof(f144,plain,
! [X3,X1,X4] :
( ~ r1(sK29(X1),X3)
| p2(X4)
| ~ r1(X3,X4)
| ~ p2(X3)
| p2(X1)
| ~ r1(sK28,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f103,plain,
! [X0,X1] :
( r1(X1,sK19(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f2912,plain,
( ~ spl41_1
| spl41_178
| ~ spl41_12
| spl41_72
| spl41_177 ),
inference(avatar_split_clause,[],[f2911,f2838,f599,f192,f2842,f147]) ).
fof(f2842,plain,
( spl41_178
<=> p2(sK38(sK9(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_178])]) ).
fof(f2838,plain,
( spl41_177
<=> p2(sK9(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_177])]) ).
fof(f2911,plain,
( p2(sK38(sK9(sK28)))
| ~ sP6(sK28)
| ~ spl41_12
| spl41_72
| spl41_177 ),
inference(subsumption_resolution,[],[f2910,f600]) ).
fof(f2910,plain,
( p2(sK38(sK9(sK28)))
| sP1(sK28)
| ~ sP6(sK28)
| ~ spl41_12
| spl41_177 ),
inference(subsumption_resolution,[],[f2808,f2839]) ).
fof(f2839,plain,
( ~ p2(sK9(sK28))
| spl41_177 ),
inference(avatar_component_clause,[],[f2838]) ).
fof(f2808,plain,
( p2(sK38(sK9(sK28)))
| p2(sK9(sK28))
| sP1(sK28)
| ~ sP6(sK28)
| ~ spl41_12 ),
inference(resolution,[],[f193,f73]) ).
fof(f2909,plain,
( ~ spl41_1
| ~ spl41_13
| ~ spl41_14
| ~ spl41_15
| spl41_72
| ~ spl41_178 ),
inference(avatar_contradiction_clause,[],[f2908]) ).
fof(f2908,plain,
( $false
| ~ spl41_1
| ~ spl41_13
| ~ spl41_14
| ~ spl41_15
| spl41_72
| ~ spl41_178 ),
inference(subsumption_resolution,[],[f2907,f149]) ).
fof(f2907,plain,
( ~ sP6(sK28)
| ~ spl41_1
| ~ spl41_13
| ~ spl41_14
| ~ spl41_15
| spl41_72
| ~ spl41_178 ),
inference(subsumption_resolution,[],[f2906,f600]) ).
fof(f2906,plain,
( sP1(sK28)
| ~ sP6(sK28)
| ~ spl41_1
| ~ spl41_13
| ~ spl41_14
| ~ spl41_15
| spl41_72
| ~ spl41_178 ),
inference(resolution,[],[f2905,f73]) ).
fof(f2905,plain,
( ~ r1(sK28,sK9(sK28))
| ~ spl41_1
| ~ spl41_13
| ~ spl41_14
| ~ spl41_15
| spl41_72
| ~ spl41_178 ),
inference(subsumption_resolution,[],[f2904,f149]) ).
fof(f2904,plain,
( ~ sP6(sK28)
| ~ r1(sK28,sK9(sK28))
| ~ spl41_13
| ~ spl41_14
| ~ spl41_15
| spl41_72
| ~ spl41_178 ),
inference(subsumption_resolution,[],[f2903,f600]) ).
fof(f2903,plain,
( sP1(sK28)
| ~ sP6(sK28)
| ~ r1(sK28,sK9(sK28))
| ~ spl41_13
| ~ spl41_14
| ~ spl41_15
| ~ spl41_178 ),
inference(resolution,[],[f2844,f1817]) ).
fof(f1817,plain,
( ! [X0] :
( ~ p2(sK38(sK9(X0)))
| sP1(X0)
| ~ sP6(X0)
| ~ r1(sK28,sK9(X0)) )
| ~ spl41_13
| ~ spl41_14
| ~ spl41_15 ),
inference(subsumption_resolution,[],[f1816,f74]) ).
fof(f1816,plain,
( ! [X0] :
( ~ p2(sK38(sK9(X0)))
| sP1(X0)
| ~ sP6(X0)
| ~ r1(sK28,sK9(X0))
| p2(sK9(X0)) )
| ~ spl41_13
| ~ spl41_14
| ~ spl41_15 ),
inference(subsumption_resolution,[],[f1815,f197]) ).
fof(f1815,plain,
( ! [X0] :
( p2(sK39(sK9(X0)))
| ~ p2(sK38(sK9(X0)))
| sP1(X0)
| ~ sP6(X0)
| ~ r1(sK28,sK9(X0))
| p2(sK9(X0)) )
| ~ spl41_14
| ~ spl41_15 ),
inference(duplicate_literal_removal,[],[f1796]) ).
fof(f1796,plain,
( ! [X0] :
( p2(sK39(sK9(X0)))
| ~ p2(sK38(sK9(X0)))
| sP1(X0)
| ~ sP6(X0)
| ~ r1(sK28,sK9(X0))
| ~ r1(sK28,sK9(X0))
| p2(sK9(X0)) )
| ~ spl41_14
| ~ spl41_15 ),
inference(resolution,[],[f1574,f201]) ).
fof(f1574,plain,
( ! [X0,X1] :
( ~ r1(sK38(sK9(X1)),X0)
| p2(X0)
| ~ p2(sK38(sK9(X1)))
| sP1(X1)
| ~ sP6(X1)
| ~ r1(sK28,sK9(X1)) )
| ~ spl41_15 ),
inference(subsumption_resolution,[],[f1559,f74]) ).
fof(f1559,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK38(sK9(X1)),X0)
| ~ p2(sK38(sK9(X1)))
| sP1(X1)
| ~ sP6(X1)
| ~ r1(sK28,sK9(X1))
| p2(sK9(X1)) )
| ~ spl41_15 ),
inference(resolution,[],[f75,f205]) ).
fof(f2844,plain,
( p2(sK38(sK9(sK28)))
| ~ spl41_178 ),
inference(avatar_component_clause,[],[f2842]) ).
fof(f2902,plain,
( ~ spl41_1
| spl41_72
| ~ spl41_177 ),
inference(avatar_contradiction_clause,[],[f2901]) ).
fof(f2901,plain,
( $false
| ~ spl41_1
| spl41_72
| ~ spl41_177 ),
inference(subsumption_resolution,[],[f2900,f149]) ).
fof(f2900,plain,
( ~ sP6(sK28)
| spl41_72
| ~ spl41_177 ),
inference(subsumption_resolution,[],[f2899,f600]) ).
fof(f2899,plain,
( sP1(sK28)
| ~ sP6(sK28)
| ~ spl41_177 ),
inference(resolution,[],[f2840,f74]) ).
fof(f2840,plain,
( p2(sK9(sK28))
| ~ spl41_177 ),
inference(avatar_component_clause,[],[f2838]) ).
fof(f2835,plain,
( ~ spl41_72
| ~ spl41_17
| ~ spl41_172 ),
inference(avatar_split_clause,[],[f2832,f2756,f213,f599]) ).
fof(f213,plain,
( spl41_17
<=> r1(sK28,sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_17])]) ).
fof(f2756,plain,
( spl41_172
<=> ! [X1] :
( ~ r1(X1,sK40)
| ~ sP1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_172])]) ).
fof(f2832,plain,
( ~ sP1(sK28)
| ~ spl41_17
| ~ spl41_172 ),
inference(resolution,[],[f2757,f215]) ).
fof(f215,plain,
( r1(sK28,sK40)
| ~ spl41_17 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f2757,plain,
( ! [X1] :
( ~ r1(X1,sK40)
| ~ sP1(X1) )
| ~ spl41_172 ),
inference(avatar_component_clause,[],[f2756]) ).
fof(f2758,plain,
( spl41_172
| spl41_172
| spl41_16
| ~ spl41_17 ),
inference(avatar_split_clause,[],[f2754,f213,f208,f2756,f2756]) ).
fof(f208,plain,
( spl41_16
<=> p2(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_16])]) ).
fof(f2754,plain,
( ! [X0,X1] :
( ~ sP1(X0)
| ~ r1(X0,sK40)
| ~ r1(X1,sK40)
| ~ sP1(X1) )
| spl41_16
| ~ spl41_17 ),
inference(subsumption_resolution,[],[f2726,f210]) ).
fof(f210,plain,
( ~ p2(sK40)
| spl41_16 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f2726,plain,
( ! [X0,X1] :
( p2(sK40)
| ~ sP1(X0)
| ~ r1(X0,sK40)
| ~ r1(X1,sK40)
| ~ sP1(X1) )
| ~ spl41_17 ),
inference(resolution,[],[f215,f2667]) ).
fof(f2667,plain,
! [X2,X0,X1] :
( ~ r1(sK28,X1)
| p2(X1)
| ~ sP1(X0)
| ~ r1(X0,X1)
| ~ r1(X2,X1)
| ~ sP1(X2) ),
inference(duplicate_literal_removal,[],[f2665]) ).
fof(f2665,plain,
! [X2,X0,X1] :
( ~ sP1(X0)
| p2(X1)
| ~ r1(sK28,X1)
| ~ r1(X0,X1)
| ~ r1(X2,X1)
| ~ sP1(X2)
| p2(X1)
| ~ r1(sK28,X1) ),
inference(resolution,[],[f2664,f142]) ).
fof(f2664,plain,
! [X2,X3,X0,X1] :
( ~ r1(X1,sK29(X2))
| ~ sP1(X0)
| p2(X2)
| ~ r1(sK28,X2)
| ~ r1(X0,X1)
| ~ r1(X3,X2)
| ~ sP1(X3) ),
inference(duplicate_literal_removal,[],[f2662]) ).
fof(f2662,plain,
! [X2,X3,X0,X1] :
( ~ sP1(X0)
| ~ r1(X1,sK29(X2))
| p2(X2)
| ~ r1(sK28,X2)
| ~ r1(X0,X1)
| ~ r1(X3,X2)
| ~ sP1(X3)
| p2(X2)
| ~ r1(sK28,X2) ),
inference(resolution,[],[f2188,f142]) ).
fof(f2188,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(X3,sK29(X2))
| ~ sP1(X0)
| ~ r1(X1,sK29(X2))
| p2(X2)
| ~ r1(sK28,X2)
| ~ r1(X0,X1)
| ~ r1(X4,X3)
| ~ sP1(X4) ),
inference(subsumption_resolution,[],[f2187,f143]) ).
fof(f2187,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(X0,X1)
| ~ sP1(X0)
| ~ r1(X1,sK29(X2))
| p2(X2)
| ~ r1(sK28,X2)
| p2(sK29(X2))
| ~ r1(X3,sK29(X2))
| ~ r1(X4,X3)
| ~ sP1(X4) ),
inference(subsumption_resolution,[],[f2186,f110]) ).
fof(f110,plain,
! [X2,X0,X1] :
( ~ r1(X1,X2)
| p2(X2)
| p2(sK23(X2))
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p2(sK23(X2))
& ~ p2(sK24(X2))
& r1(sK23(X2),sK24(X2))
& r1(X2,sK23(X2)) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24])],[f48,f50,f49]) ).
fof(f49,plain,
! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3) )
=> ( p2(sK23(X2))
& ? [X4] :
( ~ p2(X4)
& r1(sK23(X2),X4) )
& r1(X2,sK23(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X2] :
( ? [X4] :
( ~ p2(X4)
& r1(sK23(X2),X4) )
=> ( ~ p2(sK24(X2))
& r1(sK23(X2),sK24(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP1(X0) ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ! [X40] :
( ! [X41] :
( ? [X42] :
( p2(X42)
& ? [X43] :
( ~ p2(X43)
& r1(X42,X43) )
& r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f9]) ).
fof(f2186,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(X0,X1)
| ~ sP1(X0)
| ~ r1(X1,sK29(X2))
| ~ p2(sK23(sK29(X2)))
| p2(X2)
| ~ r1(sK28,X2)
| p2(sK29(X2))
| ~ r1(X3,sK29(X2))
| ~ r1(X4,X3)
| ~ sP1(X4) ),
inference(subsumption_resolution,[],[f2167,f109]) ).
fof(f109,plain,
! [X2,X0,X1] :
( ~ p2(sK24(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f2167,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(X0,X1)
| ~ sP1(X0)
| p2(sK24(sK29(X2)))
| ~ r1(X1,sK29(X2))
| ~ p2(sK23(sK29(X2)))
| p2(X2)
| ~ r1(sK28,X2)
| p2(sK29(X2))
| ~ r1(X3,sK29(X2))
| ~ r1(X4,X3)
| ~ sP1(X4) ),
inference(resolution,[],[f1513,f108]) ).
fof(f108,plain,
! [X2,X0,X1] :
( r1(sK23(X2),sK24(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1513,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK23(sK29(X0)),X3)
| ~ r1(X2,X1)
| ~ sP1(X2)
| p2(X3)
| ~ r1(X1,sK29(X0))
| ~ p2(sK23(sK29(X0)))
| p2(X0)
| ~ r1(sK28,X0) ),
inference(subsumption_resolution,[],[f1505,f143]) ).
fof(f1505,plain,
! [X2,X3,X0,X1] :
( p2(sK29(X0))
| ~ r1(X1,sK29(X0))
| ~ r1(X2,X1)
| ~ sP1(X2)
| p2(X3)
| ~ r1(sK23(sK29(X0)),X3)
| ~ p2(sK23(sK29(X0)))
| p2(X0)
| ~ r1(sK28,X0) ),
inference(resolution,[],[f107,f144]) ).
fof(f107,plain,
! [X2,X0,X1] :
( r1(X2,sK23(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f2716,plain,
( ~ spl41_9
| spl41_169
| spl41_169 ),
inference(avatar_split_clause,[],[f2715,f2695,f2695,f180]) ).
fof(f2695,plain,
( spl41_169
<=> ! [X1] :
( ~ r1(X1,sK27(sK28))
| ~ sP1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_169])]) ).
fof(f2715,plain,
! [X0,X1] :
( ~ sP1(X0)
| ~ r1(X0,sK27(sK28))
| ~ r1(X1,sK27(sK28))
| ~ sP1(X1)
| ~ sP0(sK28) ),
inference(subsumption_resolution,[],[f2682,f112]) ).
fof(f112,plain,
! [X0] :
( ~ p2(sK27(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f2682,plain,
! [X0,X1] :
( p2(sK27(sK28))
| ~ sP1(X0)
| ~ r1(X0,sK27(sK28))
| ~ r1(X1,sK27(sK28))
| ~ sP1(X1)
| ~ sP0(sK28) ),
inference(resolution,[],[f2667,f111]) ).
fof(f111,plain,
! [X0] :
( r1(X0,sK27(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f2711,plain,
( ~ spl41_9
| ~ spl41_72
| ~ spl41_169 ),
inference(avatar_contradiction_clause,[],[f2710]) ).
fof(f2710,plain,
( $false
| ~ spl41_9
| ~ spl41_72
| ~ spl41_169 ),
inference(subsumption_resolution,[],[f2709,f182]) ).
fof(f2709,plain,
( ~ sP0(sK28)
| ~ spl41_72
| ~ spl41_169 ),
inference(subsumption_resolution,[],[f2707,f601]) ).
fof(f601,plain,
( sP1(sK28)
| ~ spl41_72 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f2707,plain,
( ~ sP1(sK28)
| ~ sP0(sK28)
| ~ spl41_169 ),
inference(resolution,[],[f2696,f111]) ).
fof(f2696,plain,
( ! [X1] :
( ~ r1(X1,sK27(sK28))
| ~ sP1(X1) )
| ~ spl41_169 ),
inference(avatar_component_clause,[],[f2695]) ).
fof(f1231,plain,
( spl41_141
| ~ spl41_142
| spl41_140
| ~ spl41_5
| spl41_6 ),
inference(avatar_split_clause,[],[f1223,f167,f163,f1220,f1228,f1225]) ).
fof(f1223,plain,
( ! [X0,X1] :
( ~ r1(X0,sK30)
| ~ sP0(X0)
| ~ p2(sK25(sK30))
| ~ r1(sK25(sK30),X1)
| p2(X1) )
| ~ spl41_5
| spl41_6 ),
inference(subsumption_resolution,[],[f1202,f169]) ).
fof(f1202,plain,
( ! [X0,X1] :
( p2(sK30)
| ~ r1(X0,sK30)
| ~ sP0(X0)
| ~ p2(sK25(sK30))
| ~ r1(sK25(sK30),X1)
| p2(X1) )
| ~ spl41_5 ),
inference(resolution,[],[f113,f164]) ).
fof(f703,plain,
( ~ spl41_4
| spl41_57
| spl41_58
| spl41_85
| ~ spl41_2 ),
inference(avatar_split_clause,[],[f673,f151,f684,f467,f463,f159]) ).
fof(f151,plain,
( spl41_2
<=> ! [X6,X7,X8] :
( ~ p2(X7)
| ~ r1(sK30,X6)
| sP5(X6)
| sP4(X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| p2(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_2])]) ).
fof(f673,plain,
( ! [X0,X1] :
( ~ p2(X0)
| sP5(sK21(sK30))
| sP4(sK21(sK30))
| ~ r1(sK21(sK30),X0)
| ~ r1(X0,X1)
| p2(X1)
| ~ sP2(sK30) )
| ~ spl41_2 ),
inference(resolution,[],[f152,f99]) ).
fof(f152,plain,
( ! [X8,X6,X7] :
( ~ r1(sK30,X6)
| ~ p2(X7)
| sP5(X6)
| sP4(X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| p2(X8) )
| ~ spl41_2 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f681,plain,
( ~ spl41_40
| spl41_48
| spl41_49
| spl41_84
| ~ spl41_2 ),
inference(avatar_split_clause,[],[f672,f151,f679,f419,f415,f365]) ).
fof(f672,plain,
( ! [X0,X1] :
( ~ p2(X0)
| sP5(sK15(sK30))
| sP4(sK15(sK30))
| ~ r1(sK15(sK30),X0)
| ~ r1(X0,X1)
| p2(X1)
| ~ sP4(sK30) )
| ~ spl41_2 ),
inference(resolution,[],[f152,f87]) ).
fof(f552,plain,
( ~ spl41_8
| ~ spl41_10
| ~ spl41_11 ),
inference(avatar_contradiction_clause,[],[f551]) ).
fof(f551,plain,
( $false
| ~ spl41_8
| ~ spl41_10
| ~ spl41_11 ),
inference(subsumption_resolution,[],[f550,f514]) ).
fof(f514,plain,
( p3(sK34(sK28))
| ~ spl41_8 ),
inference(resolution,[],[f178,f145]) ).
fof(f145,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.vsMOz091gF/Vampire---4.8_17387',reflexivity) ).
fof(f178,plain,
( ! [X15] :
( ~ r1(sK28,X15)
| p3(sK34(X15)) )
| ~ spl41_8 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f177,plain,
( spl41_8
<=> ! [X15] :
( p3(sK34(X15))
| ~ r1(sK28,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_8])]) ).
fof(f550,plain,
( ~ p3(sK34(sK28))
| ~ spl41_10
| ~ spl41_11 ),
inference(subsumption_resolution,[],[f524,f145]) ).
fof(f524,plain,
( ~ r1(sK28,sK28)
| ~ p3(sK34(sK28))
| ~ spl41_10
| ~ spl41_11 ),
inference(resolution,[],[f186,f190]) ).
fof(f190,plain,
( ! [X25] :
( ~ r1(sK28,X25)
| ~ p3(X25) )
| ~ spl41_11 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f189,plain,
( spl41_11
<=> ! [X25] :
( ~ p3(X25)
| ~ r1(sK28,X25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_11])]) ).
fof(f186,plain,
( ! [X15] :
( r1(X15,sK34(X15))
| ~ r1(sK28,X15) )
| ~ spl41_10 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f185,plain,
( spl41_10
<=> ! [X15] :
( r1(X15,sK34(X15))
| ~ r1(sK28,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_10])]) ).
fof(f426,plain,
( spl41_48
| spl41_49
| ~ spl41_50
| ~ spl41_40
| ~ spl41_3 ),
inference(avatar_split_clause,[],[f384,f155,f365,f423,f419,f415]) ).
fof(f384,plain,
( ~ sP4(sK30)
| ~ p2(sK15(sK30))
| sP5(sK15(sK30))
| sP4(sK15(sK30))
| ~ spl41_3 ),
inference(resolution,[],[f87,f156]) ).
fof(f373,plain,
( spl41_40
| spl41_41
| ~ spl41_6
| ~ spl41_3 ),
inference(avatar_split_clause,[],[f352,f155,f167,f369,f365]) ).
fof(f352,plain,
( ~ p2(sK30)
| sP5(sK30)
| sP4(sK30)
| ~ spl41_3 ),
inference(resolution,[],[f145,f156]) ).
fof(f216,plain,
( spl41_11
| spl41_17 ),
inference(avatar_split_clause,[],[f117,f213,f189]) ).
fof(f117,plain,
! [X25] :
( r1(sK28,sK40)
| ~ p3(X25)
| ~ r1(sK28,X25) ),
inference(cnf_transformation,[],[f72]) ).
fof(f211,plain,
( spl41_11
| ~ spl41_16 ),
inference(avatar_split_clause,[],[f118,f208,f189]) ).
fof(f118,plain,
! [X25] :
( ~ p2(sK40)
| ~ p3(X25)
| ~ r1(sK28,X25) ),
inference(cnf_transformation,[],[f72]) ).
fof(f206,plain,
( spl41_11
| spl41_15 ),
inference(avatar_split_clause,[],[f119,f204,f189]) ).
fof(f119,plain,
! [X21,X25] :
( r1(X21,sK38(X21))
| p2(X21)
| ~ r1(sK28,X21)
| ~ p3(X25)
| ~ r1(sK28,X25) ),
inference(cnf_transformation,[],[f72]) ).
fof(f202,plain,
( spl41_11
| spl41_14 ),
inference(avatar_split_clause,[],[f120,f200,f189]) ).
fof(f120,plain,
! [X21,X25] :
( r1(sK38(X21),sK39(X21))
| p2(X21)
| ~ r1(sK28,X21)
| ~ p3(X25)
| ~ r1(sK28,X25) ),
inference(cnf_transformation,[],[f72]) ).
fof(f198,plain,
( spl41_11
| spl41_13 ),
inference(avatar_split_clause,[],[f121,f196,f189]) ).
fof(f121,plain,
! [X21,X25] :
( ~ p2(sK39(X21))
| p2(X21)
| ~ r1(sK28,X21)
| ~ p3(X25)
| ~ r1(sK28,X25) ),
inference(cnf_transformation,[],[f72]) ).
fof(f194,plain,
( spl41_11
| spl41_12 ),
inference(avatar_split_clause,[],[f122,f192,f189]) ).
fof(f122,plain,
! [X21,X25] :
( p2(sK38(X21))
| p2(X21)
| ~ r1(sK28,X21)
| ~ p3(X25)
| ~ r1(sK28,X25) ),
inference(cnf_transformation,[],[f72]) ).
fof(f187,plain,
( spl41_10
| spl41_9 ),
inference(avatar_split_clause,[],[f129,f180,f185]) ).
fof(f129,plain,
! [X15] :
( sP0(sK28)
| r1(X15,sK34(X15))
| ~ r1(sK28,X15) ),
inference(cnf_transformation,[],[f72]) ).
fof(f183,plain,
( spl41_8
| spl41_9 ),
inference(avatar_split_clause,[],[f130,f180,f177]) ).
fof(f130,plain,
! [X15] :
( sP0(sK28)
| p3(sK34(X15))
| ~ r1(sK28,X15) ),
inference(cnf_transformation,[],[f72]) ).
fof(f175,plain,
( spl41_1
| spl41_7 ),
inference(avatar_split_clause,[],[f137,f172,f147]) ).
fof(f137,plain,
( r1(sK28,sK30)
| sP6(sK28) ),
inference(cnf_transformation,[],[f72]) ).
fof(f170,plain,
( spl41_1
| spl41_4
| ~ spl41_6 ),
inference(avatar_split_clause,[],[f138,f167,f159,f147]) ).
fof(f138,plain,
( ~ p2(sK30)
| sP2(sK30)
| sP6(sK28) ),
inference(cnf_transformation,[],[f72]) ).
fof(f165,plain,
( spl41_1
| spl41_4
| spl41_5 ),
inference(avatar_split_clause,[],[f139,f163,f159,f147]) ).
fof(f139,plain,
! [X10,X9] :
( ~ p2(X9)
| p2(X10)
| ~ r1(X9,X10)
| ~ r1(sK30,X9)
| sP2(sK30)
| sP6(sK28) ),
inference(cnf_transformation,[],[f72]) ).
fof(f157,plain,
( spl41_1
| spl41_3 ),
inference(avatar_split_clause,[],[f140,f155,f147]) ).
fof(f140,plain,
! [X6] :
( ~ p2(X6)
| sP4(X6)
| sP5(X6)
| ~ r1(sK30,X6)
| sP6(sK28) ),
inference(cnf_transformation,[],[f72]) ).
fof(f153,plain,
( spl41_1
| spl41_2 ),
inference(avatar_split_clause,[],[f141,f151,f147]) ).
fof(f141,plain,
! [X8,X6,X7] :
( ~ p2(X7)
| p2(X8)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| sP4(X6)
| sP5(X6)
| ~ r1(sK30,X6)
| sP6(sK28) ),
inference(cnf_transformation,[],[f72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL660+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n013.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 13:51:34 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.vsMOz091gF/Vampire---4.8_17387
% 0.64/0.80 % (17628)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.64/0.80 % (17626)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 (2995ds/34Mi)
% 0.64/0.80 % (17627)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 (2995ds/51Mi)
% 0.64/0.80 % (17629)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.64/0.80 % (17630)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 (2995ds/34Mi)
% 0.64/0.80 % (17631)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.64/0.80 % (17632)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 (2995ds/83Mi)
% 0.64/0.80 % (17633)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 (2995ds/56Mi)
% 0.64/0.81 % (17629)Instruction limit reached!
% 0.64/0.81 % (17629)------------------------------
% 0.64/0.81 % (17629)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81 % (17629)Termination reason: Unknown
% 0.64/0.81 % (17629)Termination phase: Saturation
% 0.64/0.81
% 0.64/0.81 % (17629)Memory used [KB]: 1499
% 0.64/0.81 % (17629)Time elapsed: 0.012 s
% 0.64/0.81 % (17629)Instructions burned: 35 (million)
% 0.64/0.81 % (17629)------------------------------
% 0.64/0.81 % (17629)------------------------------
% 0.64/0.81 % (17630)Instruction limit reached!
% 0.64/0.81 % (17630)------------------------------
% 0.64/0.81 % (17630)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81 % (17630)Termination reason: Unknown
% 0.64/0.81 % (17630)Termination phase: Saturation
% 0.64/0.81
% 0.64/0.81 % (17630)Memory used [KB]: 1938
% 0.64/0.81 % (17630)Time elapsed: 0.013 s
% 0.64/0.81 % (17630)Instructions burned: 34 (million)
% 0.64/0.81 % (17630)------------------------------
% 0.64/0.81 % (17630)------------------------------
% 0.64/0.81 % (17626)Instruction limit reached!
% 0.64/0.81 % (17626)------------------------------
% 0.64/0.81 % (17626)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81 % (17626)Termination reason: Unknown
% 0.64/0.81 % (17626)Termination phase: Saturation
% 0.64/0.81
% 0.64/0.81 % (17626)Memory used [KB]: 1799
% 0.64/0.81 % (17626)Time elapsed: 0.014 s
% 0.64/0.81 % (17626)Instructions burned: 35 (million)
% 0.64/0.81 % (17626)------------------------------
% 0.64/0.81 % (17626)------------------------------
% 0.64/0.81 % (17634)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 (2995ds/55Mi)
% 0.64/0.81 % (17635)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 (2995ds/50Mi)
% 0.64/0.81 % (17631)Instruction limit reached!
% 0.64/0.81 % (17631)------------------------------
% 0.64/0.81 % (17631)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81 % (17631)Termination reason: Unknown
% 0.64/0.81 % (17631)Termination phase: Saturation
% 0.64/0.81
% 0.64/0.81 % (17631)Memory used [KB]: 1911
% 0.64/0.81 % (17631)Time elapsed: 0.016 s
% 0.64/0.81 % (17631)Instructions burned: 47 (million)
% 0.64/0.81 % (17631)------------------------------
% 0.64/0.81 % (17631)------------------------------
% 0.64/0.81 % (17636)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 (2995ds/208Mi)
% 0.64/0.81 % (17633)Instruction limit reached!
% 0.64/0.81 % (17633)------------------------------
% 0.64/0.81 % (17633)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81 % (17633)Termination reason: Unknown
% 0.64/0.81 % (17633)Termination phase: Saturation
% 0.64/0.81
% 0.64/0.81 % (17633)Memory used [KB]: 1493
% 0.64/0.81 % (17633)Time elapsed: 0.017 s
% 0.64/0.81 % (17633)Instructions burned: 56 (million)
% 0.64/0.81 % (17633)------------------------------
% 0.64/0.81 % (17633)------------------------------
% 0.64/0.82 % (17637)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 (2995ds/52Mi)
% 0.64/0.82 % (17627)Instruction limit reached!
% 0.64/0.82 % (17627)------------------------------
% 0.64/0.82 % (17627)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.82 % (17627)Termination reason: Unknown
% 0.64/0.82 % (17627)Termination phase: Saturation
% 0.64/0.82
% 0.64/0.82 % (17627)Memory used [KB]: 1889
% 0.64/0.82 % (17627)Time elapsed: 0.019 s
% 0.64/0.82 % (17627)Instructions burned: 53 (million)
% 0.64/0.82 % (17627)------------------------------
% 0.64/0.82 % (17627)------------------------------
% 0.64/0.82 % (17638)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 (2995ds/518Mi)
% 0.64/0.82 % (17639)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 (2995ds/42Mi)
% 0.64/0.82 % (17628)Instruction limit reached!
% 0.64/0.82 % (17628)------------------------------
% 0.64/0.82 % (17628)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.82 % (17628)Termination reason: Unknown
% 0.64/0.82 % (17628)Termination phase: Saturation
% 0.64/0.82
% 0.64/0.82 % (17628)Memory used [KB]: 1902
% 0.64/0.82 % (17628)Time elapsed: 0.025 s
% 0.64/0.82 % (17628)Instructions burned: 81 (million)
% 0.64/0.82 % (17628)------------------------------
% 0.64/0.82 % (17628)------------------------------
% 0.64/0.82 % (17634)Instruction limit reached!
% 0.64/0.82 % (17634)------------------------------
% 0.64/0.82 % (17634)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.82 % (17634)Termination reason: Unknown
% 0.64/0.82 % (17634)Termination phase: Property scanning
% 0.64/0.82
% 0.64/0.82 % (17634)Memory used [KB]: 2219
% 0.64/0.82 % (17634)Time elapsed: 0.012 s
% 0.64/0.82 % (17634)Instructions burned: 56 (million)
% 0.64/0.82 % (17634)------------------------------
% 0.64/0.82 % (17634)------------------------------
% 0.64/0.82 % (17640)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 (2995ds/243Mi)
% 0.64/0.82 % (17641)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)
% 0.64/0.83 % (17632)Instruction limit reached!
% 0.64/0.83 % (17632)------------------------------
% 0.64/0.83 % (17632)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.83 % (17632)Termination reason: Unknown
% 0.64/0.83 % (17632)Termination phase: Saturation
% 0.64/0.83
% 0.64/0.83 % (17632)Memory used [KB]: 2578
% 0.64/0.83 % (17632)Time elapsed: 0.029 s
% 0.64/0.83 % (17632)Instructions burned: 85 (million)
% 0.64/0.83 % (17632)------------------------------
% 0.64/0.83 % (17632)------------------------------
% 0.64/0.83 % (17635)Instruction limit reached!
% 0.64/0.83 % (17635)------------------------------
% 0.64/0.83 % (17635)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.83 % (17635)Termination reason: Unknown
% 0.64/0.83 % (17635)Termination phase: Saturation
% 0.64/0.83
% 0.64/0.83 % (17635)Memory used [KB]: 1461
% 0.64/0.83 % (17635)Time elapsed: 0.015 s
% 0.64/0.83 % (17635)Instructions burned: 50 (million)
% 0.64/0.83 % (17635)------------------------------
% 0.64/0.83 % (17635)------------------------------
% 0.64/0.83 % (17639)Instruction limit reached!
% 0.64/0.83 % (17639)------------------------------
% 0.64/0.83 % (17639)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.83 % (17639)Termination reason: Unknown
% 0.64/0.83 % (17639)Termination phase: Property scanning
% 0.64/0.83
% 0.64/0.83 % (17639)Memory used [KB]: 2219
% 0.64/0.83 % (17639)Time elapsed: 0.010 s
% 0.64/0.83 % (17639)Instructions burned: 43 (million)
% 0.64/0.83 % (17639)------------------------------
% 0.64/0.83 % (17639)------------------------------
% 0.64/0.83 % (17642)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)
% 0.64/0.83 % (17643)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.64/0.83 % (17644)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.64/0.83 % (17637)Instruction limit reached!
% 0.64/0.83 % (17637)------------------------------
% 0.64/0.83 % (17637)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.83 % (17637)Termination reason: Unknown
% 0.64/0.83 % (17637)Termination phase: Saturation
% 0.64/0.83
% 0.64/0.83 % (17637)Memory used [KB]: 1913
% 0.64/0.83 % (17637)Time elapsed: 0.019 s
% 0.64/0.83 % (17637)Instructions burned: 53 (million)
% 0.64/0.83 % (17637)------------------------------
% 0.64/0.83 % (17637)------------------------------
% 0.64/0.84 % (17645)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.64/0.84 % (17638)Refutation not found, incomplete strategy% (17638)------------------------------
% 0.64/0.84 % (17638)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.84 % (17638)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.84
% 0.64/0.84 % (17638)Memory used [KB]: 2102
% 0.64/0.84 % (17638)Time elapsed: 0.028 s
% 0.64/0.84 % (17638)Instructions burned: 89 (million)
% 0.64/0.84 % (17638)------------------------------
% 0.64/0.84 % (17638)------------------------------
% 0.64/0.85 % (17649)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.64/0.85 % (17645)Instruction limit reached!
% 0.64/0.85 % (17645)------------------------------
% 0.64/0.85 % (17645)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.85 % (17645)Termination reason: Unknown
% 0.64/0.85 % (17645)Termination phase: Saturation
% 0.64/0.85
% 0.64/0.85 % (17645)Memory used [KB]: 1772
% 0.64/0.85 % (17645)Time elapsed: 0.012 s
% 0.64/0.85 % (17645)Instructions burned: 34 (million)
% 0.64/0.85 % (17645)------------------------------
% 0.64/0.85 % (17645)------------------------------
% 0.64/0.85 % (17644)Instruction limit reached!
% 0.64/0.85 % (17644)------------------------------
% 0.64/0.85 % (17644)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.85 % (17644)Termination reason: Unknown
% 0.64/0.85 % (17644)Termination phase: NewCNF
% 0.64/0.85
% 0.64/0.85 % (17644)Memory used [KB]: 4100
% 0.64/0.85 % (17644)Time elapsed: 0.019 s
% 0.64/0.85 % (17644)Instructions burned: 62 (million)
% 0.64/0.85 % (17644)------------------------------
% 0.64/0.85 % (17644)------------------------------
% 0.91/0.85 % (17651)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2995ds/55Mi)
% 0.91/0.85 % (17652)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2995ds/53Mi)
% 0.91/0.86 % (17641)Instruction limit reached!
% 0.91/0.86 % (17641)------------------------------
% 0.91/0.86 % (17641)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.91/0.86 % (17641)Termination reason: Unknown
% 0.91/0.86 % (17641)Termination phase: Saturation
% 0.91/0.86
% 0.91/0.86 % (17641)Memory used [KB]: 2314
% 0.91/0.86 % (17641)Time elapsed: 0.036 s
% 0.91/0.86 % (17641)Instructions burned: 119 (million)
% 0.91/0.86 % (17641)------------------------------
% 0.91/0.86 % (17641)------------------------------
% 0.91/0.86 % (17643)Instruction limit reached!
% 0.91/0.86 % (17643)------------------------------
% 0.91/0.86 % (17643)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.91/0.86 % (17643)Termination reason: Unknown
% 0.91/0.86 % (17643)Termination phase: Saturation
% 0.91/0.86
% 0.91/0.86 % (17643)Memory used [KB]: 2641
% 0.91/0.86 % (17643)Time elapsed: 0.033 s
% 0.91/0.86 % (17643)Instructions burned: 93 (million)
% 0.91/0.86 % (17643)------------------------------
% 0.91/0.86 % (17643)------------------------------
% 0.91/0.86 % (17659)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2995ds/46Mi)
% 0.91/0.86 % (17660)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2995ds/102Mi)
% 0.91/0.87 % (17651)Instruction limit reached!
% 0.91/0.87 % (17651)------------------------------
% 0.91/0.87 % (17651)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.91/0.87 % (17652)Instruction limit reached!
% 0.91/0.87 % (17652)------------------------------
% 0.91/0.87 % (17652)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.91/0.87 % (17651)Termination reason: Unknown
% 0.91/0.87 % (17651)Termination phase: Saturation
% 0.91/0.87
% 0.91/0.87 % (17651)Memory used [KB]: 2054
% 0.91/0.87 % (17651)Time elapsed: 0.042 s
% 0.91/0.87 % (17651)Instructions burned: 57 (million)
% 0.91/0.87 % (17651)------------------------------
% 0.91/0.87 % (17651)------------------------------
% 0.91/0.87 % (17652)Termination reason: Unknown
% 0.91/0.87 % (17652)Termination phase: Saturation
% 0.91/0.87
% 0.91/0.87 % (17652)Memory used [KB]: 1644
% 0.91/0.87 % (17652)Time elapsed: 0.039 s
% 0.91/0.87 % (17652)Instructions burned: 54 (million)
% 0.91/0.87 % (17652)------------------------------
% 0.91/0.87 % (17652)------------------------------
% 0.91/0.87 % (17665)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2994ds/87Mi)
% 0.91/0.87 % (17664)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2994ds/35Mi)
% 0.91/0.88 % (17636)First to succeed.
% 0.91/0.88 % (17642)Instruction limit reached!
% 0.91/0.88 % (17642)------------------------------
% 0.91/0.88 % (17642)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.91/0.88 % (17642)Termination reason: Unknown
% 0.91/0.88 % (17642)Termination phase: Saturation
% 0.91/0.88
% 0.91/0.88 % (17642)Memory used [KB]: 3042
% 0.91/0.88 % (17642)Time elapsed: 0.048 s
% 0.91/0.88 % (17642)Instructions burned: 145 (million)
% 0.91/0.88 % (17642)------------------------------
% 0.91/0.88 % (17642)------------------------------
% 0.91/0.88 % (17670)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2994ds/109Mi)
% 0.91/0.88 % (17659)Instruction limit reached!
% 0.91/0.88 % (17659)------------------------------
% 0.91/0.88 % (17659)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.91/0.88 % (17659)Termination reason: Unknown
% 0.91/0.88 % (17659)Termination phase: Saturation
% 0.91/0.88
% 0.91/0.88 % (17659)Memory used [KB]: 2371
% 0.91/0.88 % (17659)Time elapsed: 0.018 s
% 0.91/0.88 % (17659)Instructions burned: 48 (million)
% 0.91/0.88 % (17659)------------------------------
% 0.91/0.88 % (17659)------------------------------
% 0.91/0.88 % (17636)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17604"
% 0.91/0.88 % (17636)Refutation found. Thanks to Tanya!
% 0.91/0.88 % SZS status Theorem for Vampire---4
% 0.91/0.88 % SZS output start Proof for Vampire---4
% See solution above
% 0.91/0.88 % (17636)------------------------------
% 0.91/0.88 % (17636)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.91/0.88 % (17636)Termination reason: Refutation
% 0.91/0.88
% 0.91/0.88 % (17636)Memory used [KB]: 3240
% 0.91/0.88 % (17636)Time elapsed: 0.068 s
% 0.91/0.88 % (17636)Instructions burned: 209 (million)
% 0.91/0.88 % (17604)Success in time 0.52 s
% 0.91/0.88 % Vampire---4.8 exiting
%------------------------------------------------------------------------------