TSTP Solution File: SYN067-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN067-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 18:02:03 EDT 2024
% Result : Unsatisfiable 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 56
% Syntax : Number of formulae : 209 ( 3 unt; 0 def)
% Number of atoms : 936 ( 0 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 1307 ( 580 ~; 702 |; 0 &)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 28 ( 27 usr; 26 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-1 aty)
% Number of variables : 216 ( 216 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f618,plain,
$false,
inference(avatar_sat_refutation,[],[f150,f160,f166,f167,f169,f179,f185,f209,f213,f217,f221,f225,f226,f227,f228,f229,f263,f268,f270,f272,f273,f274,f275,f276,f277,f278,f279,f280,f281,f282,f283,f302,f306,f345,f359,f364,f368,f381,f457,f462,f486,f520,f523,f543,f569,f616]) ).
fof(f616,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_16
| ~ spl0_19
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f615]) ).
fof(f615,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_16
| ~ spl0_19
| ~ spl0_27 ),
inference(subsumption_resolution,[],[f613,f597]) ).
fof(f597,plain,
( big_p(f2(c4))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_16 ),
inference(resolution,[],[f573,f147]) ).
fof(f147,plain,
( big_r(c4,c3)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f145,plain,
( spl0_4
<=> big_r(c4,c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f573,plain,
( ! [X0] :
( ~ big_r(X0,c3)
| big_p(f2(X0)) )
| ~ spl0_2
| ~ spl0_16 ),
inference(resolution,[],[f238,f137]) ).
fof(f137,plain,
( big_p(c3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f135,plain,
( spl0_2
<=> big_p(c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f238,plain,
( ! [X3,X0] :
( ~ big_p(X3)
| big_p(f2(X0))
| ~ big_r(X0,X3) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f237,plain,
( spl0_16
<=> ! [X0,X3] :
( ~ big_p(X3)
| big_p(f2(X0))
| ~ big_r(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f613,plain,
( ~ big_p(f2(c4))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_19
| ~ spl0_27 ),
inference(resolution,[],[f612,f348]) ).
fof(f348,plain,
( ! [X0] :
( ~ big_r(f1(c4),X0)
| ~ big_p(X0) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f347,plain,
( spl0_27
<=> ! [X0] :
( ~ big_p(X0)
| ~ big_r(f1(c4),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f612,plain,
( big_r(f1(c4),f2(c4))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_19 ),
inference(resolution,[],[f550,f147]) ).
fof(f550,plain,
( ! [X0] :
( ~ big_r(X0,c3)
| big_r(f1(X0),f2(X0)) )
| ~ spl0_2
| ~ spl0_19 ),
inference(resolution,[],[f137,f251]) ).
fof(f251,plain,
( ! [X3,X0] :
( ~ big_p(X3)
| big_r(f1(X0),f2(X0))
| ~ big_r(X0,X3) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f250,plain,
( spl0_19
<=> ! [X0,X3] :
( ~ big_p(X3)
| big_r(f1(X0),f2(X0))
| ~ big_r(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f569,plain,
( spl0_27
| ~ spl0_9
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f568,f361,f182,f347]) ).
fof(f182,plain,
( spl0_9
<=> ! [X4,X5] :
( ~ big_p(X4)
| ~ big_r(c4,X5)
| ~ big_r(X5,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f361,plain,
( spl0_28
<=> big_r(c4,f1(c4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f568,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(f1(c4),X0) )
| ~ spl0_9
| ~ spl0_28 ),
inference(resolution,[],[f363,f183]) ).
fof(f183,plain,
( ! [X4,X5] :
( ~ big_r(c4,X5)
| ~ big_p(X4)
| ~ big_r(X5,X4) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f363,plain,
( big_r(c4,f1(c4))
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f543,plain,
( spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f542]) ).
fof(f542,plain,
( $false
| spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f541,f159]) ).
fof(f159,plain,
( ~ big_p(c2)
| spl0_6 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f157,plain,
( spl0_6
<=> big_p(c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f541,plain,
( big_p(c2)
| spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15 ),
inference(resolution,[],[f531,f208]) ).
fof(f208,plain,
( ! [X1] :
( big_p(f4(X1))
| big_p(X1) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f207,plain,
( spl0_11
<=> ! [X1] :
( big_p(X1)
| big_p(f4(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f531,plain,
( ~ big_p(f4(c2))
| spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f529,f159]) ).
fof(f529,plain,
( ~ big_p(f4(c2))
| big_p(c2)
| spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(resolution,[],[f526,f224]) ).
fof(f224,plain,
( ! [X1] :
( big_r(f3(X1),f4(X1))
| big_p(X1) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f223,plain,
( spl0_15
<=> ! [X1] :
( big_p(X1)
| big_r(f3(X1),f4(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f526,plain,
( ! [X0] :
( ~ big_r(f3(c2),X0)
| ~ big_p(X0) )
| spl0_6
| ~ spl0_8
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f525,f159]) ).
fof(f525,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(f3(c2),X0)
| big_p(c2) )
| ~ spl0_8
| ~ spl0_14 ),
inference(resolution,[],[f178,f220]) ).
fof(f220,plain,
( ! [X1] :
( big_r(X1,f3(X1))
| big_p(X1) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f219,plain,
( spl0_14
<=> ! [X1] :
( big_p(X1)
| big_r(X1,f3(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f178,plain,
( ! [X8,X9] :
( ~ big_r(c2,X9)
| ~ big_p(X8)
| ~ big_r(X9,X8) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f177,plain,
( spl0_8
<=> ! [X9,X8] :
( ~ big_p(X8)
| ~ big_r(c2,X9)
| ~ big_r(X9,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f523,plain,
( spl0_6
| ~ spl0_10
| ~ spl0_13
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f522,f304,f215,f204,f157]) ).
fof(f204,plain,
( spl0_10
<=> ! [X0] :
( big_p(X0)
| big_p(f2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f215,plain,
( spl0_13
<=> ! [X0] :
( big_p(X0)
| big_r(f1(X0),f2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f304,plain,
( spl0_24
<=> ! [X0] :
( ~ big_p(X0)
| ~ big_r(f1(c2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f522,plain,
( big_p(c2)
| ~ spl0_10
| ~ spl0_13
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f372,f205]) ).
fof(f205,plain,
( ! [X0] :
( big_p(f2(X0))
| big_p(X0) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f372,plain,
( ~ big_p(f2(c2))
| big_p(c2)
| ~ spl0_13
| ~ spl0_24 ),
inference(resolution,[],[f305,f216]) ).
fof(f216,plain,
( ! [X0] :
( big_r(f1(X0),f2(X0))
| big_p(X0) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f305,plain,
( ! [X0] :
( ~ big_r(f1(c2),X0)
| ~ big_p(X0) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f520,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f519]) ).
fof(f519,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f518,f495]) ).
fof(f495,plain,
( big_p(f6(c4))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_17 ),
inference(resolution,[],[f489,f147]) ).
fof(f489,plain,
( ! [X0] :
( ~ big_r(X0,c3)
| big_p(f6(X0)) )
| ~ spl0_2
| ~ spl0_17 ),
inference(resolution,[],[f137,f242]) ).
fof(f242,plain,
( ! [X2,X1] :
( ~ big_p(X2)
| big_p(f6(X1))
| ~ big_r(X1,X2) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f241,plain,
( spl0_17
<=> ! [X2,X1] :
( ~ big_p(X2)
| big_p(f6(X1))
| ~ big_r(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f518,plain,
( ~ big_p(f6(c4))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_20
| ~ spl0_21 ),
inference(resolution,[],[f516,f505]) ).
fof(f505,plain,
( ! [X0] :
( ~ big_r(f5(c4),X0)
| ~ big_p(X0) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_20 ),
inference(resolution,[],[f504,f183]) ).
fof(f504,plain,
( big_r(c4,f5(c4))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_20 ),
inference(resolution,[],[f488,f147]) ).
fof(f488,plain,
( ! [X0] :
( ~ big_r(X0,c3)
| big_r(X0,f5(X0)) )
| ~ spl0_2
| ~ spl0_20 ),
inference(resolution,[],[f137,f257]) ).
fof(f257,plain,
( ! [X2,X1] :
( ~ big_p(X2)
| big_r(X1,f5(X1))
| ~ big_r(X1,X2) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f256,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(f516,plain,
( big_r(f5(c4),f6(c4))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_21 ),
inference(resolution,[],[f487,f147]) ).
fof(f487,plain,
( ! [X0] :
( ~ big_r(X0,c3)
| big_r(f5(X0),f6(X0)) )
| ~ spl0_2
| ~ spl0_21 ),
inference(resolution,[],[f137,f262]) ).
fof(f262,plain,
( ! [X2,X1] :
( ~ big_p(X2)
| big_r(f5(X1),f6(X1))
| ~ big_r(X1,X2) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f261,plain,
( spl0_21
<=> ! [X2,X1] :
( ~ big_p(X2)
| big_r(f5(X1),f6(X1))
| ~ big_r(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f486,plain,
( spl0_3
| ~ spl0_11
| ~ spl0_15
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f485,f460,f223,f207,f139]) ).
fof(f139,plain,
( spl0_3
<=> big_p(c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f460,plain,
( spl0_35
<=> ! [X0] :
( ~ big_p(X0)
| ~ big_r(f3(c4),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f485,plain,
( big_p(c4)
| ~ spl0_11
| ~ spl0_15
| ~ spl0_35 ),
inference(subsumption_resolution,[],[f463,f208]) ).
fof(f463,plain,
( ~ big_p(f4(c4))
| big_p(c4)
| ~ spl0_15
| ~ spl0_35 ),
inference(resolution,[],[f461,f224]) ).
fof(f461,plain,
( ! [X0] :
( ~ big_r(f3(c4),X0)
| ~ big_p(X0) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f462,plain,
( spl0_35
| spl0_3
| ~ spl0_9
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f398,f219,f182,f139,f460]) ).
fof(f398,plain,
( ! [X0] :
( big_p(c4)
| ~ big_p(X0)
| ~ big_r(f3(c4),X0) )
| ~ spl0_9
| ~ spl0_14 ),
inference(resolution,[],[f220,f183]) ).
fof(f457,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f456]) ).
fof(f456,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f453,f427]) ).
fof(f427,plain,
( big_p(f6(c2))
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17 ),
inference(resolution,[],[f414,f165]) ).
fof(f165,plain,
( big_r(c2,c1)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f163,plain,
( spl0_7
<=> big_r(c2,c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f414,plain,
( ! [X0] :
( ~ big_r(X0,c1)
| big_p(f6(X0)) )
| ~ spl0_5
| ~ spl0_17 ),
inference(resolution,[],[f242,f155]) ).
fof(f155,plain,
( big_p(c1)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f153,plain,
( spl0_5
<=> big_p(c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f453,plain,
( ~ big_p(f6(c2))
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_20
| ~ spl0_21 ),
inference(resolution,[],[f452,f434]) ).
fof(f434,plain,
( ! [X0] :
( ~ big_r(f5(c2),X0)
| ~ big_p(X0) )
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_20 ),
inference(resolution,[],[f432,f178]) ).
fof(f432,plain,
( big_r(c2,f5(c2))
| ~ spl0_5
| ~ spl0_7
| ~ spl0_20 ),
inference(resolution,[],[f420,f165]) ).
fof(f420,plain,
( ! [X0] :
( ~ big_r(X0,c1)
| big_r(X0,f5(X0)) )
| ~ spl0_5
| ~ spl0_20 ),
inference(resolution,[],[f257,f155]) ).
fof(f452,plain,
( big_r(f5(c2),f6(c2))
| ~ spl0_5
| ~ spl0_7
| ~ spl0_21 ),
inference(resolution,[],[f426,f165]) ).
fof(f426,plain,
( ! [X0] :
( ~ big_r(X0,c1)
| big_r(f5(X0),f6(X0)) )
| ~ spl0_5
| ~ spl0_21 ),
inference(resolution,[],[f262,f155]) ).
fof(f381,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_16
| ~ spl0_19
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f380]) ).
fof(f380,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_16
| ~ spl0_19
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f377,f320]) ).
fof(f320,plain,
( big_p(f2(c2))
| ~ spl0_5
| ~ spl0_7
| ~ spl0_16 ),
inference(resolution,[],[f307,f165]) ).
fof(f307,plain,
( ! [X0] :
( ~ big_r(X0,c1)
| big_p(f2(X0)) )
| ~ spl0_5
| ~ spl0_16 ),
inference(resolution,[],[f155,f238]) ).
fof(f377,plain,
( ~ big_p(f2(c2))
| ~ spl0_5
| ~ spl0_7
| ~ spl0_19
| ~ spl0_24 ),
inference(resolution,[],[f376,f305]) ).
fof(f376,plain,
( big_r(f1(c2),f2(c2))
| ~ spl0_5
| ~ spl0_7
| ~ spl0_19 ),
inference(resolution,[],[f324,f165]) ).
fof(f324,plain,
( ! [X0] :
( ~ big_r(X0,c1)
| big_r(f1(X0),f2(X0)) )
| ~ spl0_5
| ~ spl0_19 ),
inference(resolution,[],[f251,f155]) ).
fof(f368,plain,
( spl0_24
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f366,f246,f177,f163,f153,f304]) ).
fof(f246,plain,
( spl0_18
<=> ! [X0,X3] :
( ~ big_p(X3)
| big_r(X0,f1(X0))
| ~ big_r(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f366,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(f1(c2),X0) )
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_18 ),
inference(resolution,[],[f178,f314]) ).
fof(f314,plain,
( big_r(c2,f1(c2))
| ~ spl0_5
| ~ spl0_7
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f312,f155]) ).
fof(f312,plain,
( big_r(c2,f1(c2))
| ~ big_p(c1)
| ~ spl0_7
| ~ spl0_18 ),
inference(resolution,[],[f247,f165]) ).
fof(f247,plain,
( ! [X3,X0] :
( ~ big_r(X0,X3)
| big_r(X0,f1(X0))
| ~ big_p(X3) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f364,plain,
( ~ spl0_2
| spl0_28
| ~ spl0_4
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f355,f246,f145,f361,f135]) ).
fof(f355,plain,
( big_r(c4,f1(c4))
| ~ big_p(c3)
| ~ spl0_4
| ~ spl0_18 ),
inference(resolution,[],[f147,f247]) ).
fof(f359,plain,
( spl0_27
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f357,f246,f182,f145,f135,f347]) ).
fof(f357,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(f1(c4),X0) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_18 ),
inference(resolution,[],[f356,f183]) ).
fof(f356,plain,
( big_r(c4,f1(c4))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f355,f137]) ).
fof(f345,plain,
( spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f344]) ).
fof(f344,plain,
( $false
| spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f343,f141]) ).
fof(f141,plain,
( ~ big_p(c4)
| spl0_3 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f343,plain,
( big_p(c4)
| spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(resolution,[],[f329,f205]) ).
fof(f329,plain,
( ~ big_p(f2(c4))
| spl0_3
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f327,f141]) ).
fof(f327,plain,
( ~ big_p(f2(c4))
| big_p(c4)
| spl0_3
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(resolution,[],[f319,f216]) ).
fof(f319,plain,
( ! [X0] :
( ~ big_r(f1(c4),X0)
| ~ big_p(X0) )
| spl0_3
| ~ spl0_9
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f318,f141]) ).
fof(f318,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(f1(c4),X0)
| big_p(c4) )
| ~ spl0_9
| ~ spl0_12 ),
inference(resolution,[],[f183,f212]) ).
fof(f212,plain,
( ! [X0] :
( big_r(X0,f1(X0))
| big_p(X0) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f211,plain,
( spl0_12
<=> ! [X0] :
( big_p(X0)
| big_r(X0,f1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f306,plain,
( spl0_6
| spl0_24
| ~ spl0_8
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f284,f211,f177,f304,f157]) ).
fof(f284,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(f1(c2),X0)
| big_p(c2) )
| ~ spl0_8
| ~ spl0_12 ),
inference(resolution,[],[f178,f212]) ).
fof(f302,plain,
( spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f301]) ).
fof(f301,plain,
( $false
| spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f300,f159]) ).
fof(f300,plain,
( big_p(c2)
| spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(resolution,[],[f288,f205]) ).
fof(f288,plain,
( ~ big_p(f2(c2))
| spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f286,f159]) ).
fof(f286,plain,
( ~ big_p(f2(c2))
| big_p(c2)
| spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(resolution,[],[f285,f216]) ).
fof(f285,plain,
( ! [X0] :
( ~ big_r(f1(c2),X0)
| ~ big_p(X0) )
| spl0_6
| ~ spl0_8
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f284,f159]) ).
fof(f283,plain,
( spl0_9
| spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f84,f177,f182,f182]) ).
fof(f84,axiom,
! [X8,X6,X9,X7,X4,X5] :
( ~ big_p(X8)
| ~ big_p(X6)
| ~ big_p(X4)
| ~ big_r(X9,X8)
| ~ big_r(X5,X4)
| ~ big_r(X7,X6)
| ~ big_r(c2,X9)
| ~ big_r(c4,X5)
| ~ big_r(c4,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_84) ).
fof(f282,plain,
( ~ spl0_1
| spl0_19
| spl0_21 ),
inference(avatar_split_clause,[],[f85,f261,f250,f131]) ).
fof(f131,plain,
( spl0_1
<=> big_p(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f85,plain,
! [X2,X3,X0,X1] :
( ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3)
| big_r(f5(X1),f6(X1))
| big_r(f1(X0),f2(X0)) ),
inference(duplicate_literal_removal,[],[f36]) ).
fof(f36,axiom,
! [X2,X3,X0,X1] :
( ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3)
| big_r(f5(X1),f6(X1))
| big_r(f1(X0),f2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_36) ).
fof(f281,plain,
( ~ spl0_1
| spl0_18
| spl0_21 ),
inference(avatar_split_clause,[],[f86,f261,f246,f131]) ).
fof(f86,plain,
! [X2,X3,X0,X1] :
( ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3)
| big_r(X0,f1(X0))
| big_r(f5(X1),f6(X1)) ),
inference(duplicate_literal_removal,[],[f30]) ).
fof(f30,axiom,
! [X2,X3,X0,X1] :
( ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3)
| big_r(X0,f1(X0))
| big_r(f5(X1),f6(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_30) ).
fof(f280,plain,
( ~ spl0_1
| spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f87,f256,f250,f131]) ).
fof(f87,plain,
! [X2,X3,X0,X1] :
( ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3)
| big_r(X1,f5(X1))
| big_r(f1(X0),f2(X0)) ),
inference(duplicate_literal_removal,[],[f35]) ).
fof(f35,axiom,
! [X2,X3,X0,X1] :
( ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3)
| big_r(X1,f5(X1))
| big_r(f1(X0),f2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_35) ).
fof(f279,plain,
( ~ spl0_1
| spl0_18
| spl0_20 ),
inference(avatar_split_clause,[],[f88,f256,f246,f131]) ).
fof(f88,plain,
! [X2,X3,X0,X1] :
( ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3)
| big_r(X1,f5(X1))
| big_r(X0,f1(X0)) ),
inference(duplicate_literal_removal,[],[f29]) ).
fof(f29,axiom,
! [X2,X3,X0,X1] :
( ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3)
| big_r(X1,f5(X1))
| big_r(X0,f1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_29) ).
fof(f278,plain,
( ~ spl0_1
| spl0_16
| spl0_21 ),
inference(avatar_split_clause,[],[f89,f261,f237,f131]) ).
fof(f89,plain,
! [X2,X3,X0,X1] :
( ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3)
| big_p(f2(X0))
| big_r(f5(X1),f6(X1)) ),
inference(duplicate_literal_removal,[],[f24]) ).
fof(f24,axiom,
! [X2,X3,X0,X1] :
( ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3)
| big_p(f2(X0))
| big_r(f5(X1),f6(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_24) ).
fof(f277,plain,
( ~ spl0_1
| spl0_16
| spl0_20 ),
inference(avatar_split_clause,[],[f90,f256,f237,f131]) ).
fof(f90,plain,
! [X2,X3,X0,X1] :
( ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3)
| big_p(f2(X0))
| big_r(X1,f5(X1)) ),
inference(duplicate_literal_removal,[],[f23]) ).
fof(f23,axiom,
! [X2,X3,X0,X1] :
( ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3)
| big_p(f2(X0))
| big_r(X1,f5(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_23) ).
fof(f276,plain,
( ~ spl0_1
| spl0_19
| spl0_17 ),
inference(avatar_split_clause,[],[f91,f241,f250,f131]) ).
fof(f91,plain,
! [X2,X3,X0,X1] :
( ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3)
| big_p(f6(X1))
| big_r(f1(X0),f2(X0)) ),
inference(duplicate_literal_removal,[],[f34]) ).
fof(f34,axiom,
! [X2,X3,X0,X1] :
( ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3)
| big_p(f6(X1))
| big_r(f1(X0),f2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_34) ).
fof(f275,plain,
( ~ spl0_1
| spl0_18
| spl0_17 ),
inference(avatar_split_clause,[],[f92,f241,f246,f131]) ).
fof(f92,plain,
! [X2,X3,X0,X1] :
( ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3)
| big_p(f6(X1))
| big_r(X0,f1(X0)) ),
inference(duplicate_literal_removal,[],[f28]) ).
fof(f28,axiom,
! [X2,X3,X0,X1] :
( ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3)
| big_p(f6(X1))
| big_r(X0,f1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_28) ).
fof(f274,plain,
( ~ spl0_1
| spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f93,f241,f237,f131]) ).
fof(f93,plain,
! [X2,X3,X0,X1] :
( ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3)
| big_p(f6(X1))
| big_p(f2(X0)) ),
inference(duplicate_literal_removal,[],[f22]) ).
fof(f22,axiom,
! [X2,X3,X0,X1] :
( ~ big_p(X2)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_p(a)
| ~ big_r(X1,X2)
| ~ big_r(X0,X3)
| big_p(f6(X1))
| big_p(f2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_22) ).
fof(f273,plain,
( spl0_7
| ~ spl0_6
| spl0_9
| spl0_9 ),
inference(avatar_split_clause,[],[f72,f182,f182,f157,f163]) ).
fof(f72,axiom,
! [X6,X7,X4,X5] :
( ~ big_p(X6)
| ~ big_p(X4)
| ~ big_p(c2)
| ~ big_r(X5,X4)
| ~ big_r(X7,X6)
| ~ big_r(c4,X7)
| ~ big_r(c4,X5)
| big_r(c2,c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_72) ).
fof(f272,plain,
( spl0_5
| ~ spl0_6
| spl0_9
| spl0_9 ),
inference(avatar_split_clause,[],[f60,f182,f182,f157,f153]) ).
fof(f60,axiom,
! [X6,X7,X4,X5] :
( ~ big_p(X6)
| ~ big_p(X4)
| ~ big_p(c2)
| big_p(c1)
| ~ big_r(X5,X4)
| ~ big_r(X7,X6)
| ~ big_r(c4,X7)
| ~ big_r(c4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_60) ).
fof(f270,plain,
( spl0_13
| ~ spl0_1
| spl0_21 ),
inference(avatar_split_clause,[],[f95,f261,f131,f215]) ).
fof(f95,plain,
! [X2,X0,X1] :
( ~ big_p(X2)
| ~ big_p(a)
| big_p(X0)
| ~ big_r(X1,X2)
| big_r(f5(X1),f6(X1))
| big_r(f1(X0),f2(X0)) ),
inference(duplicate_literal_removal,[],[f18]) ).
fof(f18,axiom,
! [X2,X0,X1] :
( ~ big_p(X2)
| ~ big_p(a)
| ~ big_p(a)
| big_p(X0)
| ~ big_r(X1,X2)
| big_r(f5(X1),f6(X1))
| big_r(f1(X0),f2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_18) ).
fof(f268,plain,
( spl0_12
| ~ spl0_1
| spl0_21 ),
inference(avatar_split_clause,[],[f97,f261,f131,f211]) ).
fof(f97,plain,
! [X2,X0,X1] :
( ~ big_p(X2)
| ~ big_p(a)
| big_p(X0)
| ~ big_r(X1,X2)
| big_r(X0,f1(X0))
| big_r(f5(X1),f6(X1)) ),
inference(duplicate_literal_removal,[],[f12]) ).
fof(f12,axiom,
! [X2,X0,X1] :
( ~ big_p(X2)
| ~ big_p(a)
| ~ big_p(a)
| big_p(X0)
| ~ big_r(X1,X2)
| big_r(X0,f1(X0))
| big_r(f5(X1),f6(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12) ).
fof(f263,plain,
( spl0_10
| ~ spl0_1
| spl0_21 ),
inference(avatar_split_clause,[],[f102,f261,f131,f204]) ).
fof(f102,plain,
! [X2,X0,X1] :
( ~ big_p(X2)
| ~ big_p(a)
| big_p(X0)
| ~ big_r(X1,X2)
| big_p(f2(X0))
| big_r(f5(X1),f6(X1)) ),
inference(duplicate_literal_removal,[],[f6]) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ big_p(X2)
| ~ big_p(a)
| ~ big_p(a)
| big_p(X0)
| ~ big_r(X1,X2)
| big_p(f2(X0))
| big_r(f5(X1),f6(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f229,plain,
( spl0_13
| spl0_15
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f112,f131,f223,f215]) ).
fof(f112,plain,
! [X0,X1] :
( ~ big_p(a)
| big_p(X1)
| big_p(X0)
| big_r(f3(X1),f4(X1))
| big_r(f1(X0),f2(X0)) ),
inference(duplicate_literal_removal,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( ~ big_p(a)
| ~ big_p(a)
| big_p(X1)
| big_p(X0)
| big_r(f3(X1),f4(X1))
| big_r(f1(X0),f2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).
fof(f228,plain,
( spl0_12
| spl0_15
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f113,f131,f223,f211]) ).
fof(f113,plain,
! [X0,X1] :
( ~ big_p(a)
| big_p(X1)
| big_p(X0)
| big_r(X0,f1(X0))
| big_r(f3(X1),f4(X1)) ),
inference(duplicate_literal_removal,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ~ big_p(a)
| ~ big_p(a)
| big_p(X1)
| big_p(X0)
| big_r(X0,f1(X0))
| big_r(f3(X1),f4(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f227,plain,
( spl0_13
| spl0_14
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f114,f131,f219,f215]) ).
fof(f114,plain,
! [X0,X1] :
( ~ big_p(a)
| big_p(X1)
| big_p(X0)
| big_r(X1,f3(X1))
| big_r(f1(X0),f2(X0)) ),
inference(duplicate_literal_removal,[],[f14]) ).
fof(f14,axiom,
! [X0,X1] :
( ~ big_p(a)
| ~ big_p(a)
| big_p(X1)
| big_p(X0)
| big_r(X1,f3(X1))
| big_r(f1(X0),f2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14) ).
fof(f226,plain,
( spl0_12
| spl0_14
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f115,f131,f219,f211]) ).
fof(f115,plain,
! [X0,X1] :
( ~ big_p(a)
| big_p(X1)
| big_p(X0)
| big_r(X1,f3(X1))
| big_r(X0,f1(X0)) ),
inference(duplicate_literal_removal,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( ~ big_p(a)
| ~ big_p(a)
| big_p(X1)
| big_p(X0)
| big_r(X1,f3(X1))
| big_r(X0,f1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f225,plain,
( spl0_10
| spl0_15
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f116,f131,f223,f204]) ).
fof(f116,plain,
! [X0,X1] :
( ~ big_p(a)
| big_p(X1)
| big_p(X0)
| big_p(f2(X0))
| big_r(f3(X1),f4(X1)) ),
inference(duplicate_literal_removal,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ big_p(a)
| ~ big_p(a)
| big_p(X1)
| big_p(X0)
| big_p(f2(X0))
| big_r(f3(X1),f4(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f221,plain,
( spl0_10
| spl0_14
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f117,f131,f219,f204]) ).
fof(f117,plain,
! [X0,X1] :
( ~ big_p(a)
| big_p(X1)
| big_p(X0)
| big_p(f2(X0))
| big_r(X1,f3(X1)) ),
inference(duplicate_literal_removal,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ big_p(a)
| ~ big_p(a)
| big_p(X1)
| big_p(X0)
| big_p(f2(X0))
| big_r(X1,f3(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f217,plain,
( spl0_13
| spl0_11
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f118,f131,f207,f215]) ).
fof(f118,plain,
! [X0,X1] :
( ~ big_p(a)
| big_p(X1)
| big_p(X0)
| big_p(f4(X1))
| big_r(f1(X0),f2(X0)) ),
inference(duplicate_literal_removal,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( ~ big_p(a)
| ~ big_p(a)
| big_p(X1)
| big_p(X0)
| big_p(f4(X1))
| big_r(f1(X0),f2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_13) ).
fof(f213,plain,
( spl0_12
| spl0_11
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f119,f131,f207,f211]) ).
fof(f119,plain,
! [X0,X1] :
( ~ big_p(a)
| big_p(X1)
| big_p(X0)
| big_p(f4(X1))
| big_r(X0,f1(X0)) ),
inference(duplicate_literal_removal,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ big_p(a)
| ~ big_p(a)
| big_p(X1)
| big_p(X0)
| big_p(f4(X1))
| big_r(X0,f1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f209,plain,
( spl0_10
| spl0_11
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f120,f131,f207,f204]) ).
fof(f120,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(a)
| big_p(X1)
| big_p(X0)
| big_p(f4(X1))
| big_p(f2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f185,plain,
( spl0_4
| ~ spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f79,f177,f139,f145]) ).
fof(f79,axiom,
! [X8,X9] :
( ~ big_p(X8)
| ~ big_p(c4)
| ~ big_r(X9,X8)
| ~ big_r(c2,X9)
| big_r(c4,c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_79) ).
fof(f179,plain,
( spl0_2
| ~ spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f78,f177,f139,f135]) ).
fof(f78,axiom,
! [X8,X9] :
( ~ big_p(X8)
| ~ big_p(c4)
| big_p(c3)
| ~ big_r(X9,X8)
| ~ big_r(c2,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_78) ).
fof(f169,plain,
( spl0_4
| spl0_7
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f67,f157,f139,f163,f145]) ).
fof(f67,axiom,
( ~ big_p(c2)
| ~ big_p(c4)
| big_r(c2,c1)
| big_r(c4,c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_67) ).
fof(f167,plain,
( spl0_4
| spl0_5
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f55,f157,f139,f153,f145]) ).
fof(f55,axiom,
( ~ big_p(c2)
| ~ big_p(c4)
| big_p(c1)
| big_r(c4,c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_55) ).
fof(f166,plain,
( spl0_7
| spl0_2
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f66,f157,f139,f135,f163]) ).
fof(f66,axiom,
( ~ big_p(c2)
| ~ big_p(c4)
| big_p(c3)
| big_r(c2,c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_66) ).
fof(f160,plain,
( spl0_2
| spl0_5
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f54,f157,f139,f153,f135]) ).
fof(f54,axiom,
( ~ big_p(c2)
| ~ big_p(c4)
| big_p(c1)
| big_p(c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_54) ).
fof(f150,plain,
spl0_1,
inference(avatar_split_clause,[],[f127,f131]) ).
fof(f127,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN067-1 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n024.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 01:46:21 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (17783)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (17788)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (17784)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (17787)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (17786)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.38 % (17785)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (17789)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (17790)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.39 % (17789)First to succeed.
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 % (17789)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (17789)------------------------------
% 0.15/0.39 % (17789)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.39 % (17789)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (17789)Memory used [KB]: 1044
% 0.15/0.39 % (17789)Time elapsed: 0.014 s
% 0.15/0.39 % (17789)Instructions burned: 20 (million)
% 0.15/0.39 % (17789)------------------------------
% 0.15/0.39 % (17789)------------------------------
% 0.15/0.39 % (17783)Success in time 0.021 s
%------------------------------------------------------------------------------