TSTP Solution File: SYN067-3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN067-3 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.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 12:08:45 EDT 2024
% Result : Unsatisfiable 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 54
% Syntax : Number of formulae : 176 ( 3 unt; 0 def)
% Number of atoms : 748 ( 0 equ)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 1046 ( 474 ~; 549 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 24 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-1 aty)
% Number of variables : 146 ( 146 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f414,plain,
$false,
inference(avatar_sat_refutation,[],[f63,f68,f73,f74,f78,f82,f83,f84,f95,f99,f103,f107,f111,f112,f113,f114,f115,f116,f143,f149,f152,f153,f154,f155,f156,f157,f158,f159,f160,f161,f162,f181,f202,f206,f221,f229,f285,f289,f306,f327,f366,f413]) ).
fof(f413,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f412]) ).
fof(f412,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f411,f392]) ).
fof(f392,plain,
( big_p(sk1(sk9))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_17 ),
inference(resolution,[],[f380,f72]) ).
fof(f72,plain,
( big_r(sk9,sk10)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f70,plain,
( spl0_6
<=> big_r(sk9,sk10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f380,plain,
( ! [X0] :
( ~ big_r(X0,sk10)
| big_p(sk1(X0)) )
| ~ spl0_1
| ~ spl0_17 ),
inference(resolution,[],[f123,f50]) ).
fof(f50,plain,
( big_p(sk10)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f48,plain,
( spl0_1
<=> big_p(sk10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f123,plain,
( ! [X38,X37] :
( ~ big_p(X38)
| big_p(sk1(X37))
| ~ big_r(X37,X38) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f122,plain,
( spl0_17
<=> ! [X38,X37] :
( ~ big_p(X38)
| big_p(sk1(X37))
| ~ big_r(X37,X38) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f411,plain,
( ~ big_p(sk1(sk9))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_18
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f410,f72]) ).
fof(f410,plain,
( ~ big_r(sk9,sk10)
| ~ big_p(sk1(sk9))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_18
| ~ spl0_19 ),
inference(resolution,[],[f335,f399]) ).
fof(f399,plain,
( ! [X0] :
( ~ big_r(sk2(sk9),X0)
| ~ big_p(X0) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_18 ),
inference(resolution,[],[f398,f77]) ).
fof(f77,plain,
( ! [X108,X109] :
( ~ big_r(sk9,X109)
| ~ big_p(X108)
| ~ big_r(X109,X108) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl0_7
<=> ! [X109,X108] :
( ~ big_p(X108)
| ~ big_r(sk9,X109)
| ~ big_r(X109,X108) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f398,plain,
( big_r(sk9,sk2(sk9))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_18 ),
inference(resolution,[],[f388,f72]) ).
fof(f388,plain,
( ! [X0] :
( ~ big_r(X0,sk10)
| big_r(X0,sk2(X0)) )
| ~ spl0_1
| ~ spl0_18 ),
inference(resolution,[],[f128,f50]) ).
fof(f128,plain,
( ! [X40,X41] :
( ~ big_p(X41)
| big_r(X40,sk2(X40))
| ~ big_r(X40,X41) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f127,plain,
( spl0_18
<=> ! [X41,X40] :
( ~ big_p(X41)
| big_r(X40,sk2(X40))
| ~ big_r(X40,X41) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f335,plain,
( ! [X0] :
( big_r(sk2(X0),sk1(X0))
| ~ big_r(X0,sk10) )
| ~ spl0_1
| ~ spl0_19 ),
inference(resolution,[],[f50,f132]) ).
fof(f132,plain,
( ! [X50,X49] :
( ~ big_p(X50)
| big_r(sk2(X49),sk1(X49))
| ~ big_r(X49,X50) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f131,plain,
( spl0_19
<=> ! [X50,X49] :
( ~ big_p(X50)
| big_r(sk2(X49),sk1(X49))
| ~ big_r(X49,X50) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f366,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f365]) ).
fof(f365,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f364,f342]) ).
fof(f342,plain,
( big_p(sk5(sk9))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_16 ),
inference(resolution,[],[f334,f72]) ).
fof(f334,plain,
( ! [X0] :
( ~ big_r(X0,sk10)
| big_p(sk5(X0)) )
| ~ spl0_1
| ~ spl0_16 ),
inference(resolution,[],[f50,f119]) ).
fof(f119,plain,
( ! [X14,X13] :
( ~ big_p(X14)
| big_p(sk5(X13))
| ~ big_r(X13,X14) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl0_16
<=> ! [X13,X14] :
( ~ big_p(X14)
| big_p(sk5(X13))
| ~ big_r(X13,X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f364,plain,
( ~ big_p(sk5(sk9))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_20
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f363,f72]) ).
fof(f363,plain,
( ~ big_r(sk9,sk10)
| ~ big_p(sk5(sk9))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_20
| ~ spl0_21 ),
inference(resolution,[],[f332,f348]) ).
fof(f348,plain,
( ! [X0] :
( ~ big_r(sk6(sk9),X0)
| ~ big_p(X0) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_20 ),
inference(resolution,[],[f347,f77]) ).
fof(f347,plain,
( big_r(sk9,sk6(sk9))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_20 ),
inference(resolution,[],[f333,f72]) ).
fof(f333,plain,
( ! [X0] :
( ~ big_r(X0,sk10)
| big_r(X0,sk6(X0)) )
| ~ spl0_1
| ~ spl0_20 ),
inference(resolution,[],[f50,f138]) ).
fof(f138,plain,
( ! [X16,X17] :
( ~ big_p(X17)
| big_r(X16,sk6(X16))
| ~ big_r(X16,X17) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl0_20
<=> ! [X16,X17] :
( ~ big_p(X17)
| big_r(X16,sk6(X16))
| ~ big_r(X16,X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f332,plain,
( ! [X0] :
( big_r(sk6(X0),sk5(X0))
| ~ big_r(X0,sk10) )
| ~ spl0_1
| ~ spl0_21 ),
inference(resolution,[],[f50,f142]) ).
fof(f142,plain,
( ! [X19,X20] :
( ~ big_p(X20)
| big_r(sk6(X19),sk5(X19))
| ~ big_r(X19,X20) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl0_21
<=> ! [X20,X19] :
( ~ big_p(X20)
| big_r(sk6(X19),sk5(X19))
| ~ big_r(X19,X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f327,plain,
( spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f326]) ).
fof(f326,plain,
( $false
| spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f325,f62]) ).
fof(f62,plain,
( ~ big_p(sk9)
| spl0_4 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl0_4
<=> big_p(sk9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f325,plain,
( big_p(sk9)
| spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15 ),
inference(resolution,[],[f315,f87]) ).
fof(f87,plain,
( ! [X0] :
( big_p(sk3(X0))
| big_p(X0) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl0_9
<=> ! [X0] :
( big_p(X0)
| big_p(sk3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f315,plain,
( ~ big_p(sk3(sk9))
| spl0_4
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f313,f62]) ).
fof(f313,plain,
( ~ big_p(sk3(sk9))
| big_p(sk9)
| spl0_4
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15 ),
inference(resolution,[],[f312,f110]) ).
fof(f110,plain,
( ! [X4] :
( big_r(sk4(X4),sk3(X4))
| big_p(X4) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f109,plain,
( spl0_15
<=> ! [X4] :
( big_p(X4)
| big_r(sk4(X4),sk3(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f312,plain,
( ! [X0] :
( ~ big_r(sk4(sk9),X0)
| ~ big_p(X0) )
| spl0_4
| ~ spl0_7
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f311,f62]) ).
fof(f311,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(sk4(sk9),X0)
| big_p(sk9) )
| ~ spl0_7
| ~ spl0_14 ),
inference(resolution,[],[f77,f106]) ).
fof(f106,plain,
( ! [X2] :
( big_r(X2,sk4(X2))
| big_p(X2) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl0_14
<=> ! [X2] :
( big_p(X2)
| big_r(X2,sk4(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f306,plain,
( spl0_3
| ~ spl0_9
| ~ spl0_15
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f305,f287,f109,f86,f56]) ).
fof(f56,plain,
( spl0_3
<=> big_p(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f287,plain,
( spl0_31
<=> ! [X0] :
( ~ big_p(X0)
| ~ big_r(sk4(sk7),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f305,plain,
( big_p(sk7)
| ~ spl0_9
| ~ spl0_15
| ~ spl0_31 ),
inference(subsumption_resolution,[],[f290,f87]) ).
fof(f290,plain,
( ~ big_p(sk3(sk7))
| big_p(sk7)
| ~ spl0_15
| ~ spl0_31 ),
inference(resolution,[],[f288,f110]) ).
fof(f288,plain,
( ! [X0] :
( ~ big_r(sk4(sk7),X0)
| ~ big_p(X0) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f289,plain,
( spl0_31
| spl0_3
| ~ spl0_8
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f235,f105,f80,f56,f287]) ).
fof(f80,plain,
( spl0_8
<=> ! [X112,X113] :
( ~ big_p(X112)
| ~ big_r(sk7,X113)
| ~ big_r(X113,X112) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f235,plain,
( ! [X0] :
( big_p(sk7)
| ~ big_p(X0)
| ~ big_r(sk4(sk7),X0) )
| ~ spl0_8
| ~ spl0_14 ),
inference(resolution,[],[f106,f81]) ).
fof(f81,plain,
( ! [X113,X112] :
( ~ big_r(sk7,X113)
| ~ big_p(X112)
| ~ big_r(X113,X112) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f285,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f284]) ).
fof(f284,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f283,f251]) ).
fof(f251,plain,
( big_p(sk5(sk7))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_16 ),
inference(resolution,[],[f244,f67]) ).
fof(f67,plain,
( big_r(sk7,sk8)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl0_5
<=> big_r(sk7,sk8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f244,plain,
( ! [X0] :
( ~ big_r(X0,sk8)
| big_p(sk5(X0)) )
| ~ spl0_2
| ~ spl0_16 ),
inference(resolution,[],[f119,f54]) ).
fof(f54,plain,
( big_p(sk8)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f52,plain,
( spl0_2
<=> big_p(sk8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f283,plain,
( ~ big_p(sk5(sk7))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_20
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f282,f67]) ).
fof(f282,plain,
( ~ big_r(sk7,sk8)
| ~ big_p(sk5(sk7))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_20
| ~ spl0_21 ),
inference(resolution,[],[f260,f263]) ).
fof(f263,plain,
( ! [X0] :
( ~ big_r(sk6(sk7),X0)
| ~ big_p(X0) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_20 ),
inference(resolution,[],[f262,f81]) ).
fof(f262,plain,
( big_r(sk7,sk6(sk7))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_20 ),
inference(resolution,[],[f249,f67]) ).
fof(f249,plain,
( ! [X0] :
( ~ big_r(X0,sk8)
| big_r(X0,sk6(X0)) )
| ~ spl0_2
| ~ spl0_20 ),
inference(resolution,[],[f138,f54]) ).
fof(f260,plain,
( ! [X0] :
( big_r(sk6(X0),sk5(X0))
| ~ big_r(X0,sk8) )
| ~ spl0_2
| ~ spl0_21 ),
inference(resolution,[],[f142,f54]) ).
fof(f229,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_17
| ~ spl0_19
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f228]) ).
fof(f228,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_17
| ~ spl0_19
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f226,f215]) ).
fof(f215,plain,
( big_p(sk1(sk7))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_17 ),
inference(resolution,[],[f209,f67]) ).
fof(f209,plain,
( ! [X0] :
( ~ big_r(X0,sk8)
| big_p(sk1(X0)) )
| ~ spl0_2
| ~ spl0_17 ),
inference(resolution,[],[f54,f123]) ).
fof(f226,plain,
( ~ big_p(sk1(sk7))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_19
| ~ spl0_26 ),
inference(resolution,[],[f225,f205]) ).
fof(f205,plain,
( ! [X0] :
( ~ big_r(sk2(sk7),X0)
| ~ big_p(X0) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f204,plain,
( spl0_26
<=> ! [X0] :
( ~ big_p(X0)
| ~ big_r(sk2(sk7),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f225,plain,
( big_r(sk2(sk7),sk1(sk7))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_19 ),
inference(resolution,[],[f207,f67]) ).
fof(f207,plain,
( ! [X0] :
( ~ big_r(X0,sk8)
| big_r(sk2(X0),sk1(X0)) )
| ~ spl0_2
| ~ spl0_19 ),
inference(resolution,[],[f54,f132]) ).
fof(f221,plain,
( spl0_26
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f220,f127,f80,f65,f52,f204]) ).
fof(f220,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(sk2(sk7),X0) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_18 ),
inference(resolution,[],[f219,f81]) ).
fof(f219,plain,
( big_r(sk7,sk2(sk7))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_18 ),
inference(resolution,[],[f208,f67]) ).
fof(f208,plain,
( ! [X0] :
( ~ big_r(X0,sk8)
| big_r(X0,sk2(X0)) )
| ~ spl0_2
| ~ spl0_18 ),
inference(resolution,[],[f54,f128]) ).
fof(f206,plain,
( spl0_3
| spl0_26
| ~ spl0_8
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f182,f97,f80,f204,f56]) ).
fof(f97,plain,
( spl0_12
<=> ! [X7] :
( big_p(X7)
| big_r(X7,sk2(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f182,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(sk2(sk7),X0)
| big_p(sk7) )
| ~ spl0_8
| ~ spl0_12 ),
inference(resolution,[],[f81,f98]) ).
fof(f98,plain,
( ! [X7] :
( big_r(X7,sk2(X7))
| big_p(X7) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f202,plain,
( spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f201]) ).
fof(f201,plain,
( $false
| spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f200,f58]) ).
fof(f58,plain,
( ~ big_p(sk7)
| spl0_3 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f200,plain,
( big_p(sk7)
| spl0_3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(resolution,[],[f188,f90]) ).
fof(f90,plain,
( ! [X1] :
( big_p(sk1(X1))
| big_p(X1) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl0_10
<=> ! [X1] :
( big_p(X1)
| big_p(sk1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f188,plain,
( ~ big_p(sk1(sk7))
| spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f186,f58]) ).
fof(f186,plain,
( ~ big_p(sk1(sk7))
| big_p(sk7)
| spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(resolution,[],[f183,f102]) ).
fof(f102,plain,
( ! [X31] :
( big_r(sk2(X31),sk1(X31))
| big_p(X31) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl0_13
<=> ! [X31] :
( big_p(X31)
| big_r(sk2(X31),sk1(X31)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f183,plain,
( ! [X0] :
( ~ big_r(sk2(sk7),X0)
| ~ big_p(X0) )
| spl0_3
| ~ spl0_8
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f182,f58]) ).
fof(f181,plain,
( spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f180]) ).
fof(f180,plain,
( $false
| spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f179,f62]) ).
fof(f179,plain,
( big_p(sk9)
| spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(resolution,[],[f169,f90]) ).
fof(f169,plain,
( ~ big_p(sk1(sk9))
| spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f167,f62]) ).
fof(f167,plain,
( ~ big_p(sk1(sk9))
| big_p(sk9)
| spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(resolution,[],[f164,f102]) ).
fof(f164,plain,
( ! [X0] :
( ~ big_r(sk2(sk9),X0)
| ~ big_p(X0) )
| spl0_4
| ~ spl0_7
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f163,f62]) ).
fof(f163,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(sk2(sk9),X0)
| big_p(sk9) )
| ~ spl0_7
| ~ spl0_12 ),
inference(resolution,[],[f77,f98]) ).
fof(f162,plain,
spl0_11,
inference(avatar_split_clause,[],[f37,f92]) ).
fof(f92,plain,
( spl0_11
<=> big_p(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f37,axiom,
big_p(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_37) ).
fof(f161,plain,
( ~ spl0_11
| spl0_19
| spl0_21 ),
inference(avatar_split_clause,[],[f36,f141,f131,f92]) ).
fof(f36,axiom,
! [X106,X107,X104,X105] :
( ~ big_p(X106)
| ~ big_p(X107)
| ~ big_p(a)
| ~ big_r(X105,X106)
| ~ big_r(X104,X107)
| big_r(sk6(X105),sk5(X105))
| big_r(sk2(X104),sk1(X104)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_36) ).
fof(f160,plain,
( ~ spl0_11
| spl0_18
| spl0_21 ),
inference(avatar_split_clause,[],[f35,f141,f127,f92]) ).
fof(f35,axiom,
! [X101,X102,X103,X100] :
( ~ big_p(X102)
| ~ big_p(X103)
| ~ big_p(a)
| ~ big_r(X101,X102)
| ~ big_r(X100,X103)
| big_r(X100,sk2(X100))
| big_r(sk6(X101),sk5(X101)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_35) ).
fof(f159,plain,
( ~ spl0_11
| spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f33,f137,f131,f92]) ).
fof(f33,axiom,
! [X94,X95,X92,X93] :
( ~ big_p(X94)
| ~ big_p(X95)
| ~ big_p(a)
| ~ big_r(X92,X94)
| ~ big_r(X93,X95)
| big_r(X92,sk6(X92))
| big_r(sk2(X93),sk1(X93)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_33) ).
fof(f158,plain,
( ~ spl0_11
| spl0_18
| spl0_20 ),
inference(avatar_split_clause,[],[f31,f137,f127,f92]) ).
fof(f31,axiom,
! [X86,X87,X84,X85] :
( ~ big_p(X86)
| ~ big_p(X87)
| ~ big_p(a)
| ~ big_r(X84,X86)
| ~ big_r(X85,X87)
| big_r(X84,sk6(X84))
| big_r(X85,sk2(X85)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_31) ).
fof(f157,plain,
( ~ spl0_11
| spl0_17
| spl0_21 ),
inference(avatar_split_clause,[],[f34,f141,f122,f92]) ).
fof(f34,axiom,
! [X98,X99,X96,X97] :
( ~ big_p(X98)
| ~ big_p(X99)
| ~ big_p(a)
| ~ big_r(X97,X98)
| ~ big_r(X96,X99)
| big_p(sk1(X96))
| big_r(sk6(X97),sk5(X97)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_34) ).
fof(f156,plain,
( ~ spl0_11
| spl0_17
| spl0_20 ),
inference(avatar_split_clause,[],[f30,f137,f122,f92]) ).
fof(f30,axiom,
! [X82,X83,X80,X81] :
( ~ big_p(X82)
| ~ big_p(X83)
| ~ big_p(a)
| ~ big_r(X81,X82)
| ~ big_r(X80,X83)
| big_p(sk1(X80))
| big_r(X81,sk6(X81)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_30) ).
fof(f155,plain,
( ~ spl0_11
| spl0_19
| spl0_16 ),
inference(avatar_split_clause,[],[f32,f118,f131,f92]) ).
fof(f32,axiom,
! [X90,X91,X88,X89] :
( ~ big_p(X90)
| ~ big_p(X91)
| ~ big_p(a)
| ~ big_r(X88,X90)
| ~ big_r(X89,X91)
| big_p(sk5(X88))
| big_r(sk2(X89),sk1(X89)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_32) ).
fof(f154,plain,
( ~ spl0_11
| spl0_18
| spl0_16 ),
inference(avatar_split_clause,[],[f29,f118,f127,f92]) ).
fof(f29,axiom,
! [X78,X79,X76,X77] :
( ~ big_p(X78)
| ~ big_p(X79)
| ~ big_p(a)
| ~ big_r(X76,X78)
| ~ big_r(X77,X79)
| big_p(sk5(X76))
| big_r(X77,sk2(X77)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_29) ).
fof(f153,plain,
( ~ spl0_11
| spl0_17
| spl0_16 ),
inference(avatar_split_clause,[],[f28,f118,f122,f92]) ).
fof(f28,axiom,
! [X72,X73,X74,X75] :
( ~ big_p(X74)
| ~ big_p(X75)
| ~ big_p(a)
| ~ big_r(X73,X74)
| ~ big_r(X72,X75)
| big_p(sk5(X73))
| big_p(sk1(X72)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_28) ).
fof(f152,plain,
( spl0_13
| ~ spl0_11
| spl0_21 ),
inference(avatar_split_clause,[],[f27,f141,f92,f101]) ).
fof(f27,axiom,
! [X70,X71,X69] :
( ~ big_p(X71)
| ~ big_p(a)
| big_p(X69)
| ~ big_r(X70,X71)
| big_r(sk6(X70),sk5(X70))
| big_r(sk2(X69),sk1(X69)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_27) ).
fof(f149,plain,
( spl0_12
| ~ spl0_11
| spl0_21 ),
inference(avatar_split_clause,[],[f12,f141,f92,f97]) ).
fof(f12,axiom,
! [X28,X29,X27] :
( ~ big_p(X29)
| ~ big_p(a)
| big_p(X27)
| ~ big_r(X28,X29)
| big_r(X27,sk2(X27))
| big_r(sk6(X28),sk5(X28)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_12) ).
fof(f143,plain,
( spl0_10
| ~ spl0_11
| spl0_21 ),
inference(avatar_split_clause,[],[f9,f141,f92,f89]) ).
fof(f9,axiom,
! [X18,X19,X20] :
( ~ big_p(X20)
| ~ big_p(a)
| big_p(X18)
| ~ big_r(X19,X20)
| big_p(sk1(X18))
| big_r(sk6(X19),sk5(X19)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_9) ).
fof(f116,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f46,f76,f80]) ).
fof(f46,axiom,
! [X118,X119,X116,X117] :
( ~ big_p(X116)
| ~ big_p(X117)
| ~ big_r(X119,X117)
| ~ big_r(X118,X116)
| ~ big_r(sk7,X119)
| ~ big_r(sk9,X118) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_46) ).
fof(f115,plain,
( spl0_15
| spl0_13
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f15,f92,f101,f109]) ).
fof(f15,axiom,
! [X34,X35] :
( ~ big_p(a)
| big_p(X35)
| big_p(X34)
| big_r(sk4(X34),sk3(X34))
| big_r(sk2(X35),sk1(X35)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_15) ).
fof(f114,plain,
( spl0_12
| spl0_15
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f6,f92,f109,f97]) ).
fof(f6,axiom,
! [X10,X11] :
( ~ big_p(a)
| big_p(X10)
| big_p(X11)
| big_r(X11,sk2(X11))
| big_r(sk4(X10),sk3(X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_6) ).
fof(f113,plain,
( spl0_13
| spl0_14
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f14,f92,f105,f101]) ).
fof(f14,axiom,
! [X32,X33] :
( ~ big_p(a)
| big_p(X32)
| big_p(X33)
| big_r(X32,sk4(X32))
| big_r(sk2(X33),sk1(X33)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_14) ).
fof(f112,plain,
( spl0_12
| spl0_14
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f5,f92,f105,f97]) ).
fof(f5,axiom,
! [X8,X9] :
( ~ big_p(a)
| big_p(X8)
| big_p(X9)
| big_r(X8,sk4(X8))
| big_r(X9,sk2(X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_5) ).
fof(f111,plain,
( spl0_10
| spl0_15
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f3,f92,f109,f89]) ).
fof(f3,axiom,
! [X4,X5] :
( ~ big_p(a)
| big_p(X4)
| big_p(X5)
| big_p(sk1(X5))
| big_r(sk4(X4),sk3(X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_3) ).
fof(f107,plain,
( spl0_10
| spl0_14
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f2,f92,f105,f89]) ).
fof(f2,axiom,
! [X2,X3] :
( ~ big_p(a)
| big_p(X2)
| big_p(X3)
| big_p(sk1(X3))
| big_r(X2,sk4(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_2) ).
fof(f103,plain,
( spl0_13
| spl0_9
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f13,f92,f86,f101]) ).
fof(f13,axiom,
! [X31,X30] :
( ~ big_p(a)
| big_p(X30)
| big_p(X31)
| big_p(sk3(X30))
| big_r(sk2(X31),sk1(X31)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_13) ).
fof(f99,plain,
( spl0_12
| spl0_9
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f4,f92,f86,f97]) ).
fof(f4,axiom,
! [X6,X7] :
( ~ big_p(a)
| big_p(X6)
| big_p(X7)
| big_p(sk3(X6))
| big_r(X7,sk2(X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_4) ).
fof(f95,plain,
( spl0_9
| spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f1,f92,f89,f86]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ big_p(a)
| big_p(X1)
| big_p(X0)
| big_p(sk3(X0))
| big_p(sk1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_1) ).
fof(f84,plain,
( spl0_6
| ~ spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f45,f80,f60,f70]) ).
fof(f45,axiom,
! [X114,X115] :
( ~ big_p(X114)
| ~ big_p(sk9)
| ~ big_r(X115,X114)
| ~ big_r(sk7,X115)
| big_r(sk9,sk10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_45) ).
fof(f83,plain,
( spl0_5
| ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f43,f76,f56,f65]) ).
fof(f43,axiom,
! [X111,X110] :
( ~ big_p(X110)
| ~ big_p(sk7)
| ~ big_r(X111,X110)
| ~ big_r(sk9,X111)
| big_r(sk7,sk8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_43) ).
fof(f82,plain,
( spl0_1
| ~ spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f44,f80,f60,f48]) ).
fof(f44,axiom,
! [X113,X112] :
( ~ big_p(X112)
| ~ big_p(sk9)
| big_p(sk10)
| ~ big_r(X113,X112)
| ~ big_r(sk7,X113) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_44) ).
fof(f78,plain,
( spl0_2
| ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f42,f76,f56,f52]) ).
fof(f42,axiom,
! [X108,X109] :
( ~ big_p(X108)
| ~ big_p(sk7)
| big_p(sk8)
| ~ big_r(X109,X108)
| ~ big_r(sk9,X109) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_42) ).
fof(f74,plain,
( spl0_5
| spl0_6
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f41,f60,f56,f70,f65]) ).
fof(f41,axiom,
( ~ big_p(sk9)
| ~ big_p(sk7)
| big_r(sk9,sk10)
| big_r(sk7,sk8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_41) ).
fof(f73,plain,
( spl0_6
| spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f39,f60,f56,f52,f70]) ).
fof(f39,axiom,
( ~ big_p(sk9)
| ~ big_p(sk7)
| big_p(sk8)
| big_r(sk9,sk10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_39) ).
fof(f68,plain,
( spl0_5
| spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f40,f60,f56,f48,f65]) ).
fof(f40,axiom,
( ~ big_p(sk9)
| ~ big_p(sk7)
| big_p(sk10)
| big_r(sk7,sk8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_40) ).
fof(f63,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f38,f60,f56,f52,f48]) ).
fof(f38,axiom,
( ~ big_p(sk9)
| ~ big_p(sk7)
| big_p(sk8)
| big_p(sk10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_38) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN067-3 : TPTP v8.1.2. Released v1.2.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n002.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 : Fri May 3 17:21:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (30515)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (30518)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (30521)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 % (30523)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (30524)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)
% 0.15/0.38 % (30520)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 % (30522)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (30519)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2]
% 0.15/0.39 % (30523)First to succeed.
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 % (30523)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30515"
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 % (30523)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 % (30523)------------------------------
% 0.15/0.39 % (30523)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (30523)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (30523)Memory used [KB]: 984
% 0.15/0.39 % (30523)Time elapsed: 0.012 s
% 0.15/0.39 % (30523)Instructions burned: 16 (million)
% 0.15/0.39 % (30515)Success in time 0.022 s
%------------------------------------------------------------------------------