TSTP Solution File: SYN067-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN067-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 19:36:46 EDT 2022
% Result : Unsatisfiable 1.61s 0.57s
% Output : Refutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 59
% Syntax : Number of formulae : 212 ( 3 unt; 0 def)
% Number of atoms : 957 ( 0 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 1341 ( 596 ~; 718 |; 0 &)
% ( 27 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 30 ( 29 usr; 28 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-1 aty)
% Number of variables : 225 ( 225 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f605,plain,
$false,
inference(avatar_sat_refutation,[],[f140,f177,f197,f203,f210,f211,f216,f218,f219,f223,f226,f233,f235,f236,f237,f238,f240,f242,f247,f249,f250,f253,f254,f257,f258,f262,f264,f271,f272,f276,f277,f281,f300,f321,f364,f438,f469,f483,f509,f515,f537,f563,f588,f592,f593,f604]) ).
fof(f604,plain,
( spl0_10
| ~ spl0_17
| ~ spl0_31
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f603]) ).
fof(f603,plain,
( $false
| spl0_10
| ~ spl0_17
| ~ spl0_31
| ~ spl0_44 ),
inference(subsumption_resolution,[],[f602,f442]) ).
fof(f442,plain,
( big_p(f2(c4))
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f441,plain,
( spl0_31
<=> big_p(f2(c4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f602,plain,
( ~ big_p(f2(c4))
| spl0_10
| ~ spl0_17
| ~ spl0_44 ),
inference(subsumption_resolution,[],[f598,f168]) ).
fof(f168,plain,
( ~ big_p(c4)
| spl0_10 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f166,plain,
( spl0_10
<=> big_p(c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f598,plain,
( big_p(c4)
| ~ big_p(f2(c4))
| ~ spl0_17
| ~ spl0_44 ),
inference(resolution,[],[f591,f196]) ).
fof(f196,plain,
( ! [X0] :
( big_r(f1(X0),f2(X0))
| big_p(X0) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f195,plain,
( spl0_17
<=> ! [X0] :
( big_r(f1(X0),f2(X0))
| big_p(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f591,plain,
( ! [X4] :
( ~ big_r(f1(c4),X4)
| ~ big_p(X4) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f590,plain,
( spl0_44
<=> ! [X4] :
( ~ big_r(f1(c4),X4)
| ~ big_p(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f593,plain,
( spl0_10
| ~ spl0_15
| spl0_31 ),
inference(avatar_split_clause,[],[f569,f441,f187,f166]) ).
fof(f187,plain,
( spl0_15
<=> ! [X0] :
( big_p(X0)
| big_p(f2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f569,plain,
( big_p(c4)
| ~ spl0_15
| spl0_31 ),
inference(resolution,[],[f188,f443]) ).
fof(f443,plain,
( ~ big_p(f2(c4))
| spl0_31 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f188,plain,
( ! [X0] :
( big_p(f2(X0))
| big_p(X0) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f592,plain,
( spl0_10
| spl0_44
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f543,f150,f135,f590,f166]) ).
fof(f135,plain,
( spl0_2
<=> ! [X0] :
( big_p(X0)
| big_r(X0,f1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f150,plain,
( spl0_6
<=> ! [X6,X7] :
( ~ big_r(c4,X7)
| ~ big_r(X7,X6)
| ~ big_p(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f543,plain,
( ! [X4] :
( ~ big_r(f1(c4),X4)
| ~ big_p(X4)
| big_p(c4) )
| ~ spl0_2
| ~ spl0_6 ),
inference(resolution,[],[f151,f136]) ).
fof(f136,plain,
( ! [X0] :
( big_r(X0,f1(X0))
| big_p(X0) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f151,plain,
( ! [X6,X7] :
( ~ big_r(c4,X7)
| ~ big_r(X7,X6)
| ~ big_p(X6) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f588,plain,
( ~ spl0_4
| ~ spl0_14
| ~ spl0_21
| spl0_39 ),
inference(avatar_contradiction_clause,[],[f587]) ).
fof(f587,plain,
( $false
| ~ spl0_4
| ~ spl0_14
| ~ spl0_21
| spl0_39 ),
inference(subsumption_resolution,[],[f586,f505]) ).
fof(f505,plain,
( ~ big_p(f2(c2))
| spl0_39 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f503,plain,
( spl0_39
<=> big_p(f2(c2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f586,plain,
( big_p(f2(c2))
| ~ spl0_4
| ~ spl0_14
| ~ spl0_21 ),
inference(resolution,[],[f579,f144]) ).
fof(f144,plain,
( big_r(c2,c1)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f142,plain,
( spl0_4
<=> big_r(c2,c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f579,plain,
( ! [X10] :
( ~ big_r(X10,c1)
| big_p(f2(X10)) )
| ~ spl0_14
| ~ spl0_21 ),
inference(resolution,[],[f183,f230]) ).
fof(f230,plain,
( big_p(c1)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f228,plain,
( spl0_21
<=> big_p(c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f183,plain,
( ! [X3,X0] :
( ~ big_p(X3)
| big_p(f2(X0))
| ~ big_r(X0,X3) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f182,plain,
( spl0_14
<=> ! [X0,X3] :
( ~ big_r(X0,X3)
| ~ big_p(X3)
| big_p(f2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f563,plain,
( ~ spl0_7
| ~ spl0_19
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f562]) ).
fof(f562,plain,
( $false
| ~ spl0_7
| ~ spl0_19
| ~ spl0_32 ),
inference(subsumption_resolution,[],[f556,f156]) ).
fof(f156,plain,
( big_p(c3)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f154,plain,
( spl0_7
<=> big_p(c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f556,plain,
( ~ big_p(c3)
| ~ spl0_19
| ~ spl0_32 ),
inference(resolution,[],[f446,f207]) ).
fof(f207,plain,
( big_r(c4,c3)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f205,plain,
( spl0_19
<=> big_r(c4,c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f446,plain,
( ! [X0] :
( ~ big_r(c4,X0)
| ~ big_p(X0) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f445,plain,
( spl0_32
<=> ! [X0] :
( ~ big_r(c4,X0)
| ~ big_p(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f537,plain,
( ~ spl0_4
| ~ spl0_21
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f536]) ).
fof(f536,plain,
( $false
| ~ spl0_4
| ~ spl0_21
| ~ spl0_40 ),
inference(subsumption_resolution,[],[f530,f230]) ).
fof(f530,plain,
( ~ big_p(c1)
| ~ spl0_4
| ~ spl0_40 ),
inference(resolution,[],[f508,f144]) ).
fof(f508,plain,
( ! [X0] :
( ~ big_r(c2,X0)
| ~ big_p(X0) )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f507,plain,
( spl0_40
<=> ! [X0] :
( ~ big_r(c2,X0)
| ~ big_p(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f515,plain,
( spl0_40
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f514,f228,f214,f191,f162,f158,f142,f507]) ).
fof(f158,plain,
( spl0_8
<=> ! [X9,X8] :
( ~ big_r(c2,X9)
| ~ big_r(X9,X8)
| ~ big_p(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f162,plain,
( spl0_9
<=> ! [X2,X1] :
( ~ big_r(X1,X2)
| big_r(f5(X1),f6(X1))
| ~ big_p(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f191,plain,
( spl0_16
<=> ! [X2,X1] :
( big_p(f6(X1))
| ~ big_p(X2)
| ~ big_r(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f214,plain,
( spl0_20
<=> ! [X2,X1] :
( ~ big_p(X2)
| big_r(X1,f5(X1))
| ~ big_r(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f514,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(c2,X0) )
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f511,f476]) ).
fof(f476,plain,
( big_p(f6(c2))
| ~ spl0_4
| ~ spl0_16
| ~ spl0_21 ),
inference(resolution,[],[f472,f144]) ).
fof(f472,plain,
( ! [X2] :
( ~ big_r(X2,c1)
| big_p(f6(X2)) )
| ~ spl0_16
| ~ spl0_21 ),
inference(resolution,[],[f230,f192]) ).
fof(f192,plain,
( ! [X2,X1] :
( ~ big_p(X2)
| big_p(f6(X1))
| ~ big_r(X1,X2) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f511,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_p(f6(c2))
| ~ big_r(c2,X0) )
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21 ),
inference(resolution,[],[f510,f163]) ).
fof(f163,plain,
( ! [X2,X1] :
( big_r(f5(X1),f6(X1))
| ~ big_r(X1,X2)
| ~ big_p(X2) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f510,plain,
( ! [X0] :
( ~ big_r(f5(c2),X0)
| ~ big_p(X0) )
| ~ spl0_4
| ~ spl0_8
| ~ spl0_20
| ~ spl0_21 ),
inference(resolution,[],[f478,f159]) ).
fof(f159,plain,
( ! [X8,X9] :
( ~ big_r(c2,X9)
| ~ big_r(X9,X8)
| ~ big_p(X8) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f478,plain,
( big_r(c2,f5(c2))
| ~ spl0_4
| ~ spl0_20
| ~ spl0_21 ),
inference(resolution,[],[f471,f144]) ).
fof(f471,plain,
( ! [X1] :
( ~ big_r(X1,c1)
| big_r(X1,f5(X1)) )
| ~ spl0_20
| ~ spl0_21 ),
inference(resolution,[],[f230,f215]) ).
fof(f215,plain,
( ! [X2,X1] :
( ~ big_p(X2)
| ~ big_r(X1,X2)
| big_r(X1,f5(X1)) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f509,plain,
( ~ spl0_39
| spl0_40
| ~ spl0_18
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f484,f367,f199,f507,f503]) ).
fof(f199,plain,
( spl0_18
<=> ! [X0,X3] :
( ~ big_r(X0,X3)
| big_r(f1(X0),f2(X0))
| ~ big_p(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f367,plain,
( spl0_27
<=> ! [X0] :
( ~ big_r(f1(c2),X0)
| ~ big_p(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f484,plain,
( ! [X0] :
( ~ big_r(c2,X0)
| ~ big_p(f2(c2))
| ~ big_p(X0) )
| ~ spl0_18
| ~ spl0_27 ),
inference(resolution,[],[f368,f200]) ).
fof(f200,plain,
( ! [X3,X0] :
( big_r(f1(X0),f2(X0))
| ~ big_p(X3)
| ~ big_r(X0,X3) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f368,plain,
( ! [X0] :
( ~ big_r(f1(c2),X0)
| ~ big_p(X0) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f483,plain,
( spl0_27
| ~ spl0_4
| ~ spl0_8
| ~ spl0_12
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f482,f228,f174,f158,f142,f367]) ).
fof(f174,plain,
( spl0_12
<=> ! [X0,X3] :
( big_r(X0,f1(X0))
| ~ big_r(X0,X3)
| ~ big_p(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f482,plain,
( ! [X0] :
( ~ big_r(f1(c2),X0)
| ~ big_p(X0) )
| ~ spl0_4
| ~ spl0_8
| ~ spl0_12
| ~ spl0_21 ),
inference(resolution,[],[f477,f159]) ).
fof(f477,plain,
( big_r(c2,f1(c2))
| ~ spl0_4
| ~ spl0_12
| ~ spl0_21 ),
inference(resolution,[],[f470,f144]) ).
fof(f470,plain,
( ! [X0] :
( ~ big_r(X0,c1)
| big_r(X0,f1(X0)) )
| ~ spl0_12
| ~ spl0_21 ),
inference(resolution,[],[f230,f175]) ).
fof(f175,plain,
( ! [X3,X0] :
( ~ big_p(X3)
| ~ big_r(X0,X3)
| big_r(X0,f1(X0)) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f469,plain,
( spl0_32
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f468,f214,f205,f191,f162,f154,f150,f445]) ).
fof(f468,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(c4,X0) )
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_19
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f451,f392]) ).
fof(f392,plain,
( big_p(f6(c4))
| ~ spl0_7
| ~ spl0_16
| ~ spl0_19 ),
inference(resolution,[],[f377,f207]) ).
fof(f377,plain,
( ! [X3] :
( ~ big_r(X3,c3)
| big_p(f6(X3)) )
| ~ spl0_7
| ~ spl0_16 ),
inference(resolution,[],[f156,f192]) ).
fof(f451,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(c4,X0)
| ~ big_p(f6(c4)) )
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19
| ~ spl0_20 ),
inference(resolution,[],[f423,f163]) ).
fof(f423,plain,
( ! [X0] :
( ~ big_r(f5(c4),X0)
| ~ big_p(X0) )
| ~ spl0_6
| ~ spl0_7
| ~ spl0_19
| ~ spl0_20 ),
inference(resolution,[],[f422,f151]) ).
fof(f422,plain,
( big_r(c4,f5(c4))
| ~ spl0_7
| ~ spl0_19
| ~ spl0_20 ),
inference(resolution,[],[f376,f207]) ).
fof(f376,plain,
( ! [X2] :
( ~ big_r(X2,c3)
| big_r(X2,f5(X2)) )
| ~ spl0_7
| ~ spl0_20 ),
inference(resolution,[],[f156,f215]) ).
fof(f438,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_14
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f437]) ).
fof(f437,plain,
( $false
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_14
| ~ spl0_18
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f432,f156]) ).
fof(f432,plain,
( ~ big_p(c3)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_14
| ~ spl0_18
| ~ spl0_19 ),
inference(resolution,[],[f407,f207]) ).
fof(f407,plain,
( ! [X0] :
( ~ big_r(c4,X0)
| ~ big_p(X0) )
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_14
| ~ spl0_18
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f403,f391]) ).
fof(f391,plain,
( big_p(f2(c4))
| ~ spl0_7
| ~ spl0_14
| ~ spl0_19 ),
inference(resolution,[],[f375,f207]) ).
fof(f375,plain,
( ! [X1] :
( ~ big_r(X1,c3)
| big_p(f2(X1)) )
| ~ spl0_7
| ~ spl0_14 ),
inference(resolution,[],[f156,f183]) ).
fof(f403,plain,
( ! [X0] :
( ~ big_r(c4,X0)
| ~ big_p(f2(c4))
| ~ big_p(X0) )
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_18
| ~ spl0_19 ),
inference(resolution,[],[f402,f200]) ).
fof(f402,plain,
( ! [X0] :
( ~ big_r(f1(c4),X0)
| ~ big_p(X0) )
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12
| ~ spl0_19 ),
inference(resolution,[],[f401,f151]) ).
fof(f401,plain,
( big_r(c4,f1(c4))
| ~ spl0_7
| ~ spl0_12
| ~ spl0_19 ),
inference(resolution,[],[f374,f207]) ).
fof(f374,plain,
( ! [X0] :
( ~ big_r(X0,c3)
| big_r(X0,f1(X0)) )
| ~ spl0_7
| ~ spl0_12 ),
inference(resolution,[],[f156,f175]) ).
fof(f364,plain,
( ~ spl0_2
| spl0_5
| ~ spl0_8
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f363]) ).
fof(f363,plain,
( $false
| ~ spl0_2
| spl0_5
| ~ spl0_8
| ~ spl0_15
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f362,f148]) ).
fof(f148,plain,
( ~ big_p(c2)
| spl0_5 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f146,plain,
( spl0_5
<=> big_p(c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f362,plain,
( big_p(c2)
| ~ spl0_2
| spl0_5
| ~ spl0_8
| ~ spl0_15
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f361]) ).
fof(f361,plain,
( big_p(c2)
| big_p(c2)
| ~ spl0_2
| spl0_5
| ~ spl0_8
| ~ spl0_15
| ~ spl0_17 ),
inference(resolution,[],[f335,f196]) ).
fof(f335,plain,
( ! [X0] :
( ~ big_r(f1(c2),f2(X0))
| big_p(X0) )
| ~ spl0_2
| spl0_5
| ~ spl0_8
| ~ spl0_15 ),
inference(resolution,[],[f331,f188]) ).
fof(f331,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(f1(c2),X0) )
| ~ spl0_2
| spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f324,f148]) ).
fof(f324,plain,
( ! [X0] :
( ~ big_r(f1(c2),X0)
| ~ big_p(X0)
| big_p(c2) )
| ~ spl0_2
| ~ spl0_8 ),
inference(resolution,[],[f136,f159]) ).
fof(f321,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f320]) ).
fof(f320,plain,
( $false
| ~ spl0_3
| spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f319,f148]) ).
fof(f319,plain,
( big_p(c2)
| ~ spl0_3
| spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13 ),
inference(resolution,[],[f309,f180]) ).
fof(f180,plain,
( ! [X1] :
( big_p(f4(X1))
| big_p(X1) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f179,plain,
( spl0_13
<=> ! [X1] :
( big_p(f4(X1))
| big_p(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f309,plain,
( ~ big_p(f4(c2))
| ~ spl0_3
| spl0_5
| ~ spl0_8
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f307,f148]) ).
fof(f307,plain,
( ~ big_p(f4(c2))
| big_p(c2)
| ~ spl0_3
| spl0_5
| ~ spl0_8
| ~ spl0_11 ),
inference(resolution,[],[f302,f139]) ).
fof(f139,plain,
( ! [X1] :
( big_r(f3(X1),f4(X1))
| big_p(X1) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f138,plain,
( spl0_3
<=> ! [X1] :
( big_r(f3(X1),f4(X1))
| big_p(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f302,plain,
( ! [X0] :
( ~ big_r(f3(c2),X0)
| ~ big_p(X0) )
| spl0_5
| ~ spl0_8
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f301,f148]) ).
fof(f301,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(f3(c2),X0)
| big_p(c2) )
| ~ spl0_8
| ~ spl0_11 ),
inference(resolution,[],[f159,f172]) ).
fof(f172,plain,
( ! [X1] :
( big_r(X1,f3(X1))
| big_p(X1) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f171,plain,
( spl0_11
<=> ! [X1] :
( big_p(X1)
| big_r(X1,f3(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f300,plain,
( ~ spl0_3
| ~ spl0_6
| spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f299]) ).
fof(f299,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f298,f168]) ).
fof(f298,plain,
( big_p(c4)
| ~ spl0_3
| ~ spl0_6
| spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(resolution,[],[f297,f180]) ).
fof(f297,plain,
( ~ big_p(f4(c4))
| ~ spl0_3
| ~ spl0_6
| spl0_10
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f286,f168]) ).
fof(f286,plain,
( big_p(c4)
| ~ big_p(f4(c4))
| ~ spl0_3
| ~ spl0_6
| spl0_10
| ~ spl0_11 ),
inference(resolution,[],[f285,f139]) ).
fof(f285,plain,
( ! [X0] :
( ~ big_r(f3(c4),X0)
| ~ big_p(X0) )
| ~ spl0_6
| spl0_10
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f284,f168]) ).
fof(f284,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(f3(c4),X0)
| big_p(c4) )
| ~ spl0_6
| ~ spl0_11 ),
inference(resolution,[],[f151,f172]) ).
fof(f281,plain,
( ~ spl0_10
| spl0_7
| spl0_21
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f54,f146,f228,f154,f166]) ).
fof(f54,axiom,
( ~ big_p(c2)
| big_p(c1)
| big_p(c3)
| ~ big_p(c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_54) ).
fof(f277,plain,
( spl0_17
| ~ spl0_1
| spl0_20 ),
inference(avatar_split_clause,[],[f87,f214,f131,f195]) ).
fof(f131,plain,
( spl0_1
<=> big_p(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f87,plain,
! [X2,X0,X1] :
( big_r(X1,f5(X1))
| ~ big_r(X1,X2)
| ~ big_p(a)
| big_p(X0)
| ~ big_p(X2)
| big_r(f1(X0),f2(X0)) ),
inference(duplicate_literal_removal,[],[f17]) ).
fof(f17,axiom,
! [X2,X0,X1] :
( big_r(X1,f5(X1))
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X1,X2)
| big_r(f1(X0),f2(X0))
| big_p(X0)
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17) ).
fof(f276,plain,
( spl0_3
| ~ spl0_1
| spl0_15 ),
inference(avatar_split_clause,[],[f88,f187,f131,f138]) ).
fof(f88,plain,
! [X0,X1] :
( big_p(X0)
| ~ big_p(a)
| big_p(X1)
| big_r(f3(X1),f4(X1))
| big_p(f2(X0)) ),
inference(duplicate_literal_removal,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( big_p(X0)
| ~ big_p(a)
| ~ big_p(a)
| big_r(f3(X1),f4(X1))
| big_p(f2(X0))
| big_p(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f272,plain,
( ~ spl0_1
| spl0_3
| spl0_17 ),
inference(avatar_split_clause,[],[f92,f195,f138,f131]) ).
fof(f92,plain,
! [X0,X1] :
( big_r(f1(X0),f2(X0))
| big_p(X1)
| ~ big_p(a)
| big_p(X0)
| big_r(f3(X1),f4(X1)) ),
inference(duplicate_literal_removal,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( big_p(X1)
| ~ big_p(a)
| big_r(f1(X0),f2(X0))
| big_p(X0)
| big_r(f3(X1),f4(X1))
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).
fof(f271,plain,
( ~ spl0_1
| spl0_20
| spl0_2 ),
inference(avatar_split_clause,[],[f93,f135,f214,f131]) ).
fof(f93,plain,
! [X2,X0,X1] :
( big_p(X0)
| ~ big_r(X1,X2)
| ~ big_p(X2)
| ~ big_p(a)
| big_r(X0,f1(X0))
| big_r(X1,f5(X1)) ),
inference(duplicate_literal_removal,[],[f11]) ).
fof(f11,axiom,
! [X2,X0,X1] :
( big_p(X0)
| big_r(X0,f1(X0))
| ~ big_p(X2)
| ~ big_p(a)
| big_r(X1,f5(X1))
| ~ big_p(a)
| ~ big_r(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
fof(f264,plain,
( spl0_8
| spl0_6
| spl0_6 ),
inference(avatar_split_clause,[],[f84,f150,f150,f158]) ).
fof(f84,axiom,
! [X8,X6,X9,X7,X4,X5] :
( ~ big_r(c4,X7)
| ~ big_p(X6)
| ~ big_p(X4)
| ~ big_r(X5,X4)
| ~ big_r(X7,X6)
| ~ big_r(c2,X9)
| ~ big_r(X9,X8)
| ~ big_p(X8)
| ~ big_r(c4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_84) ).
fof(f262,plain,
( spl0_15
| spl0_13
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f96,f131,f179,f187]) ).
fof(f96,plain,
! [X0,X1] :
( ~ big_p(a)
| big_p(X1)
| big_p(X0)
| big_p(f4(X1))
| big_p(f2(X0)) ),
inference(duplicate_literal_removal,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ big_p(a)
| big_p(X0)
| big_p(f2(X0))
| big_p(X1)
| big_p(f4(X1))
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f258,plain,
( ~ spl0_1
| spl0_13
| spl0_2 ),
inference(avatar_split_clause,[],[f99,f135,f179,f131]) ).
fof(f99,plain,
! [X0,X1] :
( big_r(X0,f1(X0))
| big_p(X0)
| big_p(X1)
| big_p(f4(X1))
| ~ big_p(a) ),
inference(duplicate_literal_removal,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( big_r(X0,f1(X0))
| big_p(X1)
| ~ big_p(a)
| ~ big_p(a)
| big_p(f4(X1))
| big_p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f257,plain,
( ~ spl0_5
| ~ spl0_10
| spl0_6
| spl0_21 ),
inference(avatar_split_clause,[],[f56,f228,f150,f166,f146]) ).
fof(f56,axiom,
! [X4,X5] :
( big_p(c1)
| ~ big_r(c4,X5)
| ~ big_p(X4)
| ~ big_p(c4)
| ~ big_r(X5,X4)
| ~ big_p(c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_56) ).
fof(f254,plain,
( ~ spl0_1
| spl0_2
| spl0_11 ),
inference(avatar_split_clause,[],[f101,f171,f135,f131]) ).
fof(f101,plain,
! [X0,X1] :
( big_p(X1)
| big_p(X0)
| big_r(X1,f3(X1))
| big_r(X0,f1(X0))
| ~ big_p(a) ),
inference(duplicate_literal_removal,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( big_p(X0)
| big_p(X1)
| big_r(X0,f1(X0))
| big_r(X1,f3(X1))
| ~ big_p(a)
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f253,plain,
( spl0_20
| ~ spl0_1
| spl0_12 ),
inference(avatar_split_clause,[],[f102,f174,f131,f214]) ).
fof(f102,plain,
! [X2,X3,X0,X1] :
( ~ big_r(X0,X3)
| ~ big_p(X3)
| ~ big_p(a)
| big_r(X0,f1(X0))
| ~ big_r(X1,X2)
| ~ big_p(X2)
| big_r(X1,f5(X1)) ),
inference(duplicate_literal_removal,[],[f29]) ).
fof(f29,axiom,
! [X2,X3,X0,X1] :
( ~ big_r(X0,X3)
| ~ big_r(X1,X2)
| ~ big_p(a)
| ~ big_p(a)
| big_r(X1,f5(X1))
| big_r(X0,f1(X0))
| ~ big_p(X2)
| ~ big_p(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_29) ).
fof(f250,plain,
( spl0_19
| ~ spl0_5
| ~ spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f67,f142,f166,f146,f205]) ).
fof(f67,axiom,
( big_r(c2,c1)
| ~ big_p(c4)
| ~ big_p(c2)
| big_r(c4,c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_67) ).
fof(f249,plain,
( ~ spl0_10
| spl0_4
| ~ spl0_5
| spl0_7 ),
inference(avatar_split_clause,[],[f66,f154,f146,f142,f166]) ).
fof(f66,axiom,
( big_p(c3)
| ~ big_p(c2)
| big_r(c2,c1)
| ~ big_p(c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_66) ).
fof(f247,plain,
( ~ spl0_1
| spl0_16
| spl0_12 ),
inference(avatar_split_clause,[],[f104,f174,f191,f131]) ).
fof(f104,plain,
! [X2,X3,X0,X1] :
( ~ big_p(X3)
| ~ big_r(X0,X3)
| big_r(X0,f1(X0))
| ~ big_p(X2)
| ~ big_r(X1,X2)
| big_p(f6(X1))
| ~ big_p(a) ),
inference(duplicate_literal_removal,[],[f28]) ).
fof(f28,axiom,
! [X2,X3,X0,X1] :
( ~ big_r(X1,X2)
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_r(X0,X3)
| ~ big_p(a)
| ~ big_p(X2)
| big_p(f6(X1))
| big_r(X0,f1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_28) ).
fof(f242,plain,
( ~ spl0_1
| spl0_12
| spl0_9 ),
inference(avatar_split_clause,[],[f107,f162,f174,f131]) ).
fof(f107,plain,
! [X2,X3,X0,X1] :
( ~ big_p(X2)
| ~ big_r(X1,X2)
| big_r(f5(X1),f6(X1))
| ~ big_r(X0,X3)
| ~ big_p(X3)
| big_r(X0,f1(X0))
| ~ big_p(a) ),
inference(duplicate_literal_removal,[],[f30]) ).
fof(f30,axiom,
! [X2,X3,X0,X1] :
( ~ big_p(a)
| ~ big_p(X2)
| ~ big_p(a)
| big_r(X0,f1(X0))
| ~ big_r(X1,X2)
| ~ big_r(X0,X3)
| ~ big_p(X3)
| big_r(f5(X1),f6(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_30) ).
fof(f240,plain,
( ~ spl0_1
| spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f108,f187,f171,f131]) ).
fof(f108,plain,
! [X0,X1] :
( big_p(X0)
| big_r(X1,f3(X1))
| big_p(f2(X0))
| ~ big_p(a)
| big_p(X1) ),
inference(duplicate_literal_removal,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( big_p(X0)
| big_r(X1,f3(X1))
| ~ big_p(a)
| ~ big_p(a)
| big_p(X1)
| big_p(f2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f238,plain,
( spl0_21
| spl0_6
| ~ spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f60,f150,f146,f150,f228]) ).
fof(f60,axiom,
! [X6,X7,X4,X5] :
( ~ big_r(c4,X5)
| ~ big_p(X4)
| ~ big_p(c2)
| ~ big_p(X6)
| ~ big_r(X5,X4)
| ~ big_r(c4,X7)
| ~ big_r(X7,X6)
| big_p(c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_60) ).
fof(f237,plain,
( spl0_19
| spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f79,f166,f158,f205]) ).
fof(f79,axiom,
! [X8,X9] :
( ~ big_p(c4)
| ~ big_r(c2,X9)
| ~ big_p(X8)
| big_r(c4,c3)
| ~ big_r(X9,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_79) ).
fof(f236,plain,
( ~ spl0_1
| spl0_16
| spl0_14 ),
inference(avatar_split_clause,[],[f109,f182,f191,f131]) ).
fof(f109,plain,
! [X2,X3,X0,X1] :
( big_p(f2(X0))
| ~ big_p(X3)
| big_p(f6(X1))
| ~ big_r(X1,X2)
| ~ big_r(X0,X3)
| ~ big_p(X2)
| ~ big_p(a) ),
inference(duplicate_literal_removal,[],[f22]) ).
fof(f22,axiom,
! [X2,X3,X0,X1] :
( ~ big_r(X0,X3)
| ~ big_p(X3)
| ~ big_r(X1,X2)
| ~ big_p(a)
| ~ big_p(a)
| big_p(f2(X0))
| ~ big_p(X2)
| big_p(f6(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_22) ).
fof(f235,plain,
( ~ spl0_1
| spl0_18
| spl0_9 ),
inference(avatar_split_clause,[],[f110,f162,f199,f131]) ).
fof(f110,plain,
! [X2,X3,X0,X1] :
( ~ big_p(X2)
| ~ big_r(X0,X3)
| ~ big_p(a)
| ~ big_r(X1,X2)
| big_r(f5(X1),f6(X1))
| big_r(f1(X0),f2(X0))
| ~ big_p(X3) ),
inference(duplicate_literal_removal,[],[f36]) ).
fof(f36,axiom,
! [X2,X3,X0,X1] :
( ~ big_p(X2)
| big_r(f1(X0),f2(X0))
| big_r(f5(X1),f6(X1))
| ~ big_r(X0,X3)
| ~ big_r(X1,X2)
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_36) ).
fof(f233,plain,
( ~ spl0_10
| spl0_21
| spl0_19
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f55,f146,f205,f228,f166]) ).
fof(f55,axiom,
( ~ big_p(c2)
| big_r(c4,c3)
| big_p(c1)
| ~ big_p(c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_55) ).
fof(f226,plain,
( spl0_15
| ~ spl0_1
| spl0_20 ),
inference(avatar_split_clause,[],[f112,f214,f131,f187]) ).
fof(f112,plain,
! [X2,X0,X1] :
( ~ big_p(X2)
| ~ big_p(a)
| big_r(X1,f5(X1))
| big_p(X0)
| ~ big_r(X1,X2)
| big_p(f2(X0)) ),
inference(duplicate_literal_removal,[],[f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ big_r(X1,X2)
| ~ big_p(a)
| big_p(f2(X0))
| big_r(X1,f5(X1))
| big_p(X0)
| ~ big_p(a)
| ~ big_p(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f223,plain,
( ~ spl0_10
| spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f78,f158,f154,f166]) ).
fof(f78,axiom,
! [X8,X9] :
( ~ big_p(X8)
| ~ big_r(X9,X8)
| big_p(c3)
| ~ big_r(c2,X9)
| ~ big_p(c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_78) ).
fof(f219,plain,
( ~ spl0_1
| spl0_20
| spl0_14 ),
inference(avatar_split_clause,[],[f115,f182,f214,f131]) ).
fof(f115,plain,
! [X2,X3,X0,X1] :
( ~ big_r(X0,X3)
| ~ big_r(X1,X2)
| big_r(X1,f5(X1))
| ~ big_p(a)
| ~ big_p(X2)
| big_p(f2(X0))
| ~ big_p(X3) ),
inference(duplicate_literal_removal,[],[f23]) ).
fof(f23,axiom,
! [X2,X3,X0,X1] :
( big_p(f2(X0))
| ~ big_p(X2)
| big_r(X1,f5(X1))
| ~ big_r(X1,X2)
| ~ big_p(X3)
| ~ big_r(X0,X3)
| ~ big_p(a)
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_23) ).
fof(f218,plain,
( spl0_4
| ~ spl0_5
| spl0_6
| spl0_6 ),
inference(avatar_split_clause,[],[f72,f150,f150,f146,f142]) ).
fof(f72,axiom,
! [X6,X7,X4,X5] :
( ~ big_r(c4,X5)
| ~ big_r(X5,X4)
| ~ big_p(X4)
| ~ big_r(X7,X6)
| ~ big_p(c2)
| big_r(c2,c1)
| ~ big_r(c4,X7)
| ~ big_p(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_72) ).
fof(f216,plain,
( ~ spl0_1
| spl0_20
| spl0_18 ),
inference(avatar_split_clause,[],[f116,f199,f214,f131]) ).
fof(f116,plain,
! [X2,X3,X0,X1] :
( ~ big_p(X3)
| ~ big_p(X2)
| big_r(X1,f5(X1))
| ~ big_p(a)
| big_r(f1(X0),f2(X0))
| ~ big_r(X0,X3)
| ~ big_r(X1,X2) ),
inference(duplicate_literal_removal,[],[f35]) ).
fof(f35,axiom,
! [X2,X3,X0,X1] :
( ~ big_p(a)
| big_r(X1,f5(X1))
| ~ big_p(a)
| ~ big_r(X0,X3)
| ~ big_p(X2)
| big_r(f1(X0),f2(X0))
| ~ big_r(X1,X2)
| ~ big_p(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_35) ).
fof(f211,plain,
( ~ spl0_1
| spl0_13
| spl0_17 ),
inference(avatar_split_clause,[],[f117,f195,f179,f131]) ).
fof(f117,plain,
! [X0,X1] :
( big_p(X0)
| big_p(f4(X1))
| big_r(f1(X0),f2(X0))
| big_p(X1)
| ~ big_p(a) ),
inference(duplicate_literal_removal,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( big_p(X0)
| ~ big_p(a)
| big_p(f4(X1))
| big_p(X1)
| ~ big_p(a)
| big_r(f1(X0),f2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_13) ).
fof(f210,plain,
( ~ spl0_1
| spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f118,f182,f162,f131]) ).
fof(f118,plain,
! [X2,X3,X0,X1] :
( big_p(f2(X0))
| ~ big_r(X1,X2)
| ~ big_p(X3)
| ~ big_r(X0,X3)
| big_r(f5(X1),f6(X1))
| ~ big_p(a)
| ~ big_p(X2) ),
inference(duplicate_literal_removal,[],[f24]) ).
fof(f24,axiom,
! [X2,X3,X0,X1] :
( ~ big_p(X2)
| ~ big_r(X0,X3)
| ~ big_p(a)
| big_r(f5(X1),f6(X1))
| ~ big_r(X1,X2)
| big_p(f2(X0))
| ~ big_p(X3)
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_24) ).
fof(f203,plain,
( ~ spl0_1
| spl0_18
| spl0_16 ),
inference(avatar_split_clause,[],[f119,f191,f199,f131]) ).
fof(f119,plain,
! [X2,X3,X0,X1] :
( big_p(f6(X1))
| big_r(f1(X0),f2(X0))
| ~ big_p(X2)
| ~ big_r(X0,X3)
| ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_p(X3) ),
inference(duplicate_literal_removal,[],[f34]) ).
fof(f34,axiom,
! [X2,X3,X0,X1] :
( ~ big_r(X1,X2)
| big_p(f6(X1))
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_p(X3)
| big_r(f1(X0),f2(X0))
| ~ big_r(X0,X3)
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_34) ).
fof(f197,plain,
( ~ spl0_1
| spl0_11
| spl0_17 ),
inference(avatar_split_clause,[],[f122,f195,f171,f131]) ).
fof(f122,plain,
! [X0,X1] :
( big_r(f1(X0),f2(X0))
| big_r(X1,f3(X1))
| big_p(X1)
| ~ big_p(a)
| big_p(X0) ),
inference(duplicate_literal_removal,[],[f14]) ).
fof(f14,axiom,
! [X0,X1] :
( ~ big_p(a)
| big_r(f1(X0),f2(X0))
| big_r(X1,f3(X1))
| ~ big_p(a)
| big_p(X1)
| big_p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14) ).
fof(f177,plain,
spl0_1,
inference(avatar_split_clause,[],[f126,f131]) ).
fof(f126,plain,
big_p(a),
inference(duplicate_literal_removal,[],[f37]) ).
fof(f37,axiom,
( big_p(a)
| big_p(a)
| big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_37) ).
fof(f140,plain,
( ~ spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f129,f138,f135,f131]) ).
fof(f129,plain,
! [X0,X1] :
( big_r(f3(X1),f4(X1))
| big_p(X1)
| big_p(X0)
| big_r(X0,f1(X0))
| ~ big_p(a) ),
inference(duplicate_literal_removal,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ~ big_p(a)
| big_r(X0,f1(X0))
| big_p(X0)
| ~ big_p(a)
| big_r(f3(X1),f4(X1))
| big_p(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : SYN067-1 : TPTP v8.1.0. Released v1.0.0.
% 0.05/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 21:26:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.50 % (553)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (561)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 % (571)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.53 % (547)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.53 % (572)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.53 % (549)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.53 % (550)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (562)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.53 % (552)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.54 % (560)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (574)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54 TRYING [2]
% 0.19/0.54 % (576)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.54 % (554)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54 % (566)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.47/0.54 % (568)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.47/0.54 % (575)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.47/0.55 % (559)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.47/0.55 % (555)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.47/0.55 % (555)Instruction limit reached!
% 1.47/0.55 % (555)------------------------------
% 1.47/0.55 % (555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55 % (555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55 % (555)Termination reason: Unknown
% 1.47/0.55 % (555)Termination phase: Blocked clause elimination
% 1.47/0.55
% 1.47/0.55 % (555)Memory used [KB]: 1023
% 1.47/0.55 % (555)Time elapsed: 0.002 s
% 1.47/0.55 % (555)Instructions burned: 2 (million)
% 1.47/0.55 % (555)------------------------------
% 1.47/0.55 % (555)------------------------------
% 1.47/0.55 % (557)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.47/0.55 % (558)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.47/0.55 % (554)Instruction limit reached!
% 1.47/0.55 % (554)------------------------------
% 1.47/0.55 % (554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55 % (578)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.47/0.55 % (572)First to succeed.
% 1.47/0.55 % (548)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.47/0.55 % (573)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.47/0.55 % (565)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.47/0.56 TRYING [3]
% 1.47/0.56 % (551)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.47/0.56 % (577)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.61/0.56 % (553)Instruction limit reached!
% 1.61/0.56 % (553)------------------------------
% 1.61/0.56 % (553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.56 % (569)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.61/0.56 % (553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.56 % (553)Termination reason: Unknown
% 1.61/0.56 % (553)Termination phase: Finite model building SAT solving
% 1.61/0.56
% 1.61/0.56 % (553)Memory used [KB]: 6780
% 1.61/0.56 % (553)Time elapsed: 0.143 s
% 1.61/0.56 % (553)Instructions burned: 52 (million)
% 1.61/0.56 % (553)------------------------------
% 1.61/0.56 % (553)------------------------------
% 1.61/0.56 % (554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.56 % (554)Termination reason: Unknown
% 1.61/0.56 % (554)Termination phase: Saturation
% 1.61/0.56
% 1.61/0.56 % (554)Memory used [KB]: 5628
% 1.61/0.56 % (554)Time elapsed: 0.104 s
% 1.61/0.56 % (554)Instructions burned: 8 (million)
% 1.61/0.56 % (554)------------------------------
% 1.61/0.56 % (554)------------------------------
% 1.61/0.56 % (570)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.61/0.57 % (572)Refutation found. Thanks to Tanya!
% 1.61/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.61/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.61/0.57 % (572)------------------------------
% 1.61/0.57 % (572)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.57 % (572)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.57 % (572)Termination reason: Refutation
% 1.61/0.57
% 1.61/0.57 % (572)Memory used [KB]: 5756
% 1.61/0.57 % (572)Time elapsed: 0.107 s
% 1.61/0.57 % (572)Instructions burned: 12 (million)
% 1.61/0.57 % (572)------------------------------
% 1.61/0.57 % (572)------------------------------
% 1.61/0.57 % (546)Success in time 0.213 s
%------------------------------------------------------------------------------