TSTP Solution File: SYN067-3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN067-3 : TPTP v8.1.0. Released v1.2.0.
% 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 : n029.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 1.11s 0.55s
% Output : Refutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 54
% Syntax : Number of formulae : 176 ( 3 unt; 0 def)
% Number of atoms : 741 ( 0 equ)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 1026 ( 461 ~; 542 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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 : 132 ( 132 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f519,plain,
$false,
inference(avatar_sat_refutation,[],[f57,f64,f75,f87,f92,f93,f102,f110,f111,f114,f119,f125,f135,f136,f137,f138,f144,f145,f146,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f160,f161,f179,f215,f238,f268,f400,f444,f477,f487,f498,f518]) ).
fof(f518,plain,
( ~ spl0_8
| spl0_13
| ~ spl0_19
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f517]) ).
fof(f517,plain,
( $false
| ~ spl0_8
| spl0_13
| ~ spl0_19
| ~ spl0_41 ),
inference(subsumption_resolution,[],[f516,f97]) ).
fof(f97,plain,
( ~ big_p(sk7)
| spl0_13 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl0_13
<=> big_p(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f516,plain,
( big_p(sk7)
| ~ spl0_8
| spl0_13
| ~ spl0_19
| ~ spl0_41 ),
inference(resolution,[],[f506,f128]) ).
fof(f128,plain,
( ! [X48] :
( big_p(sk3(X48))
| big_p(X48) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f127,plain,
( spl0_19
<=> ! [X48] :
( big_p(X48)
| big_p(sk3(X48)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f506,plain,
( ~ big_p(sk3(sk7))
| ~ spl0_8
| spl0_13
| ~ spl0_41 ),
inference(subsumption_resolution,[],[f504,f97]) ).
fof(f504,plain,
( big_p(sk7)
| ~ big_p(sk3(sk7))
| ~ spl0_8
| ~ spl0_41 ),
inference(resolution,[],[f486,f74]) ).
fof(f74,plain,
( ! [X10] :
( big_r(sk4(X10),sk3(X10))
| big_p(X10) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f73,plain,
( spl0_8
<=> ! [X10] :
( big_r(sk4(X10),sk3(X10))
| big_p(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f486,plain,
( ! [X2] :
( ~ big_r(sk4(sk7),X2)
| ~ big_p(X2) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f485,plain,
( spl0_41
<=> ! [X2] :
( ~ big_r(sk4(sk7),X2)
| ~ big_p(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f498,plain,
( spl0_27
| ~ spl0_14
| ~ spl0_2
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f338,f116,f52,f99,f349]) ).
fof(f349,plain,
( spl0_27
<=> big_r(sk6(sk7),sk5(sk7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f99,plain,
( spl0_14
<=> big_p(sk8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f52,plain,
( spl0_2
<=> ! [X102,X101] :
( ~ big_p(X102)
| big_r(sk6(X101),sk5(X101))
| ~ big_r(X101,X102) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f116,plain,
( spl0_17
<=> big_r(sk7,sk8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f338,plain,
( ~ big_p(sk8)
| big_r(sk6(sk7),sk5(sk7))
| ~ spl0_2
| ~ spl0_17 ),
inference(resolution,[],[f53,f118]) ).
fof(f118,plain,
( big_r(sk7,sk8)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f53,plain,
( ! [X101,X102] :
( ~ big_r(X101,X102)
| big_r(sk6(X101),sk5(X101))
| ~ big_p(X102) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f487,plain,
( spl0_13
| spl0_41
| ~ spl0_4
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f471,f81,f59,f485,f95]) ).
fof(f59,plain,
( spl0_4
<=> ! [X2] :
( big_p(X2)
| big_r(X2,sk4(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f81,plain,
( spl0_10
<=> ! [X114,X115] :
( ~ big_r(sk7,X115)
| ~ big_p(X114)
| ~ big_r(X115,X114) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f471,plain,
( ! [X2] :
( ~ big_r(sk4(sk7),X2)
| big_p(sk7)
| ~ big_p(X2) )
| ~ spl0_4
| ~ spl0_10 ),
inference(resolution,[],[f82,f60]) ).
fof(f60,plain,
( ! [X2] :
( big_r(X2,sk4(X2))
| big_p(X2) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f82,plain,
( ! [X114,X115] :
( ~ big_r(sk7,X115)
| ~ big_p(X114)
| ~ big_r(X115,X114) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f477,plain,
( ~ spl0_7
| ~ spl0_10
| ~ spl0_14
| ~ spl0_17
| ~ spl0_20
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f476]) ).
fof(f476,plain,
( $false
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14
| ~ spl0_17
| ~ spl0_20
| ~ spl0_27 ),
inference(subsumption_resolution,[],[f474,f300]) ).
fof(f300,plain,
( big_p(sk5(sk7))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f294,f101]) ).
fof(f101,plain,
( big_p(sk8)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f294,plain,
( big_p(sk5(sk7))
| ~ big_p(sk8)
| ~ spl0_17
| ~ spl0_20 ),
inference(resolution,[],[f134,f118]) ).
fof(f134,plain,
( ! [X90,X88] :
( ~ big_r(X88,X90)
| big_p(sk5(X88))
| ~ big_p(X90) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl0_20
<=> ! [X88,X90] :
( ~ big_p(X90)
| big_p(sk5(X88))
| ~ big_r(X88,X90) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f474,plain,
( ~ big_p(sk5(sk7))
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14
| ~ spl0_17
| ~ spl0_27 ),
inference(resolution,[],[f470,f351]) ).
fof(f351,plain,
( big_r(sk6(sk7),sk5(sk7))
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f470,plain,
( ! [X1] :
( ~ big_r(sk6(sk7),X1)
| ~ big_p(X1) )
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14
| ~ spl0_17 ),
inference(resolution,[],[f82,f319]) ).
fof(f319,plain,
( big_r(sk7,sk6(sk7))
| ~ spl0_7
| ~ spl0_14
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f314,f101]) ).
fof(f314,plain,
( big_r(sk7,sk6(sk7))
| ~ big_p(sk8)
| ~ spl0_7
| ~ spl0_17 ),
inference(resolution,[],[f70,f118]) ).
fof(f70,plain,
( ! [X26,X25] :
( ~ big_r(X25,X26)
| big_r(X25,sk6(X25))
| ~ big_p(X26) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl0_7
<=> ! [X25,X26] :
( big_r(X25,sk6(X25))
| ~ big_p(X26)
| ~ big_r(X25,X26) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f444,plain,
( ~ spl0_4
| ~ spl0_8
| spl0_9
| ~ spl0_19
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f443]) ).
fof(f443,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| spl0_9
| ~ spl0_19
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f442,f79]) ).
fof(f79,plain,
( ~ big_p(sk9)
| spl0_9 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f77,plain,
( spl0_9
<=> big_p(sk9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f442,plain,
( big_p(sk9)
| ~ spl0_4
| ~ spl0_8
| spl0_9
| ~ spl0_19
| ~ spl0_21 ),
inference(resolution,[],[f427,f128]) ).
fof(f427,plain,
( ~ big_p(sk3(sk9))
| ~ spl0_4
| ~ spl0_8
| spl0_9
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f424,f79]) ).
fof(f424,plain,
( big_p(sk9)
| ~ big_p(sk3(sk9))
| ~ spl0_4
| ~ spl0_8
| spl0_9
| ~ spl0_21 ),
inference(resolution,[],[f416,f74]) ).
fof(f416,plain,
( ! [X2] :
( ~ big_r(sk4(sk9),X2)
| ~ big_p(X2) )
| ~ spl0_4
| spl0_9
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f272,f79]) ).
fof(f272,plain,
( ! [X2] :
( big_p(sk9)
| ~ big_r(sk4(sk9),X2)
| ~ big_p(X2) )
| ~ spl0_4
| ~ spl0_21 ),
inference(resolution,[],[f60,f143]) ).
fof(f143,plain,
( ! [X108,X109] :
( ~ big_r(sk9,X109)
| ~ big_p(X108)
| ~ big_r(X109,X108) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f142,plain,
( spl0_21
<=> ! [X109,X108] :
( ~ big_r(X109,X108)
| ~ big_p(X108)
| ~ big_r(sk9,X109) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f400,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f399]) ).
fof(f399,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_20
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f396,f302]) ).
fof(f302,plain,
( big_p(sk5(sk9))
| ~ spl0_11
| ~ spl0_12
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f295,f91]) ).
fof(f91,plain,
( big_p(sk10)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl0_12
<=> big_p(sk10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f295,plain,
( ~ big_p(sk10)
| big_p(sk5(sk9))
| ~ spl0_11
| ~ spl0_20 ),
inference(resolution,[],[f134,f86]) ).
fof(f86,plain,
( big_r(sk9,sk10)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl0_11
<=> big_r(sk9,sk10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f396,plain,
( ~ big_p(sk5(sk9))
| ~ spl0_2
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_21 ),
inference(resolution,[],[f360,f341]) ).
fof(f341,plain,
( big_r(sk6(sk9),sk5(sk9))
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f340,f91]) ).
fof(f340,plain,
( big_r(sk6(sk9),sk5(sk9))
| ~ big_p(sk10)
| ~ spl0_2
| ~ spl0_11 ),
inference(resolution,[],[f53,f86]) ).
fof(f360,plain,
( ! [X0] :
( ~ big_r(sk6(sk9),X0)
| ~ big_p(X0) )
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12
| ~ spl0_21 ),
inference(resolution,[],[f324,f143]) ).
fof(f324,plain,
( big_r(sk9,sk6(sk9))
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f315,f91]) ).
fof(f315,plain,
( big_r(sk9,sk6(sk9))
| ~ big_p(sk10)
| ~ spl0_7
| ~ spl0_11 ),
inference(resolution,[],[f70,f86]) ).
fof(f268,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_16
| ~ spl0_18
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f267]) ).
fof(f267,plain,
( $false
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_16
| ~ spl0_18
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f263,f244]) ).
fof(f244,plain,
( big_p(sk1(sk9))
| ~ spl0_11
| ~ spl0_12
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f242,f91]) ).
fof(f242,plain,
( ~ big_p(sk10)
| big_p(sk1(sk9))
| ~ spl0_11
| ~ spl0_16 ),
inference(resolution,[],[f86,f109]) ).
fof(f109,plain,
( ! [X83,X80] :
( ~ big_r(X80,X83)
| big_p(sk1(X80))
| ~ big_p(X83) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl0_16
<=> ! [X80,X83] :
( ~ big_p(X83)
| big_p(sk1(X80))
| ~ big_r(X80,X83) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f263,plain,
( ~ big_p(sk1(sk9))
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18
| ~ spl0_21 ),
inference(resolution,[],[f246,f245]) ).
fof(f245,plain,
( big_r(sk2(sk9),sk1(sk9))
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f240,f91]) ).
fof(f240,plain,
( ~ big_p(sk10)
| big_r(sk2(sk9),sk1(sk9))
| ~ spl0_11
| ~ spl0_18 ),
inference(resolution,[],[f86,f122]) ).
fof(f122,plain,
( ! [X52,X53] :
( ~ big_r(X52,X53)
| big_r(sk2(X52),sk1(X52))
| ~ big_p(X53) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f121,plain,
( spl0_18
<=> ! [X52,X53] :
( big_r(sk2(X52),sk1(X52))
| ~ big_p(X53)
| ~ big_r(X52,X53) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f246,plain,
( ! [X0] :
( ~ big_r(sk2(sk9),X0)
| ~ big_p(X0) )
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_21 ),
inference(resolution,[],[f243,f143]) ).
fof(f243,plain,
( big_r(sk9,sk2(sk9))
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f241,f91]) ).
fof(f241,plain,
( ~ big_p(sk10)
| big_r(sk9,sk2(sk9))
| ~ spl0_3
| ~ spl0_11 ),
inference(resolution,[],[f86,f56]) ).
fof(f56,plain,
( ! [X103,X100] :
( ~ big_r(X100,X103)
| big_r(X100,sk2(X100))
| ~ big_p(X103) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl0_3
<=> ! [X100,X103] :
( ~ big_p(X103)
| big_r(X100,sk2(X100))
| ~ big_r(X100,X103) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f238,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_9
| ~ spl0_15
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f237]) ).
fof(f237,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| spl0_9
| ~ spl0_15
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f236,f79]) ).
fof(f236,plain,
( big_p(sk9)
| ~ spl0_5
| ~ spl0_6
| spl0_9
| ~ spl0_15
| ~ spl0_21 ),
inference(resolution,[],[f224,f63]) ).
fof(f63,plain,
( ! [X3] :
( big_p(sk1(X3))
| big_p(X3) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f62,plain,
( spl0_5
<=> ! [X3] :
( big_p(X3)
| big_p(sk1(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f224,plain,
( ~ big_p(sk1(sk9))
| ~ spl0_6
| spl0_9
| ~ spl0_15
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f221,f79]) ).
fof(f221,plain,
( ~ big_p(sk1(sk9))
| big_p(sk9)
| ~ spl0_6
| spl0_9
| ~ spl0_15
| ~ spl0_21 ),
inference(resolution,[],[f220,f105]) ).
fof(f105,plain,
( ! [X66] :
( big_r(sk2(X66),sk1(X66))
| big_p(X66) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f104,plain,
( spl0_15
<=> ! [X66] :
( big_p(X66)
| big_r(sk2(X66),sk1(X66)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f220,plain,
( ! [X0] :
( ~ big_r(sk2(sk9),X0)
| ~ big_p(X0) )
| ~ spl0_6
| spl0_9
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f219,f79]) ).
fof(f219,plain,
( ! [X0] :
( big_p(sk9)
| ~ big_r(sk2(sk9),X0)
| ~ big_p(X0) )
| ~ spl0_6
| ~ spl0_21 ),
inference(resolution,[],[f143,f67]) ).
fof(f67,plain,
( ! [X24] :
( big_r(X24,sk2(X24))
| big_p(X24) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl0_6
<=> ! [X24] :
( big_r(X24,sk2(X24))
| big_p(X24) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f215,plain,
( ~ spl0_3
| ~ spl0_10
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f214]) ).
fof(f214,plain,
( $false
| ~ spl0_3
| ~ spl0_10
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f207,f185]) ).
fof(f185,plain,
( big_p(sk1(sk7))
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f184,f101]) ).
fof(f184,plain,
( ~ big_p(sk8)
| big_p(sk1(sk7))
| ~ spl0_16
| ~ spl0_17 ),
inference(resolution,[],[f109,f118]) ).
fof(f207,plain,
( ~ big_p(sk1(sk7))
| ~ spl0_3
| ~ spl0_10
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(resolution,[],[f205,f192]) ).
fof(f192,plain,
( ! [X0] :
( ~ big_r(sk2(sk7),X0)
| ~ big_p(X0) )
| ~ spl0_3
| ~ spl0_10
| ~ spl0_14
| ~ spl0_17 ),
inference(resolution,[],[f190,f82]) ).
fof(f190,plain,
( big_r(sk7,sk2(sk7))
| ~ spl0_3
| ~ spl0_14
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f189,f101]) ).
fof(f189,plain,
( big_r(sk7,sk2(sk7))
| ~ big_p(sk8)
| ~ spl0_3
| ~ spl0_17 ),
inference(resolution,[],[f56,f118]) ).
fof(f205,plain,
( big_r(sk2(sk7),sk1(sk7))
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f203,f101]) ).
fof(f203,plain,
( big_r(sk2(sk7),sk1(sk7))
| ~ big_p(sk8)
| ~ spl0_17
| ~ spl0_18 ),
inference(resolution,[],[f122,f118]) ).
fof(f179,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| spl0_13
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f178]) ).
fof(f178,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| spl0_13
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f177,f97]) ).
fof(f177,plain,
( big_p(sk7)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| spl0_13
| ~ spl0_15 ),
inference(resolution,[],[f167,f63]) ).
fof(f167,plain,
( ~ big_p(sk1(sk7))
| ~ spl0_6
| ~ spl0_10
| spl0_13
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f165,f97]) ).
fof(f165,plain,
( ~ big_p(sk1(sk7))
| big_p(sk7)
| ~ spl0_6
| ~ spl0_10
| spl0_13
| ~ spl0_15 ),
inference(resolution,[],[f164,f105]) ).
fof(f164,plain,
( ! [X0] :
( ~ big_r(sk2(sk7),X0)
| ~ big_p(X0) )
| ~ spl0_6
| ~ spl0_10
| spl0_13 ),
inference(subsumption_resolution,[],[f163,f97]) ).
fof(f163,plain,
( ! [X0] :
( ~ big_r(sk2(sk7),X0)
| ~ big_p(X0)
| big_p(sk7) )
| ~ spl0_6
| ~ spl0_10 ),
inference(resolution,[],[f82,f67]) ).
fof(f161,plain,
( ~ spl0_1
| spl0_15
| spl0_19 ),
inference(avatar_split_clause,[],[f13,f127,f104,f48]) ).
fof(f48,plain,
( spl0_1
<=> big_p(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f13,axiom,
! [X31,X30] :
( big_p(X30)
| big_p(X31)
| ~ big_p(a)
| big_p(sk3(X30))
| big_r(sk2(X31),sk1(X31)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_13) ).
fof(f160,plain,
( ~ spl0_1
| spl0_19
| spl0_5 ),
inference(avatar_split_clause,[],[f1,f62,f127,f48]) ).
fof(f1,axiom,
! [X0,X1] :
( big_p(X1)
| big_p(X0)
| big_p(sk1(X1))
| ~ big_p(a)
| big_p(sk3(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_1) ).
fof(f158,plain,
( spl0_2
| ~ spl0_1
| spl0_16 ),
inference(avatar_split_clause,[],[f34,f108,f48,f52]) ).
fof(f34,axiom,
! [X98,X99,X96,X97] :
( ~ big_r(X96,X99)
| ~ big_p(a)
| ~ big_p(X99)
| ~ big_p(X98)
| big_p(sk1(X96))
| big_r(sk6(X97),sk5(X97))
| ~ big_r(X97,X98) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_34) ).
fof(f157,plain,
( ~ spl0_13
| spl0_11
| ~ spl0_9
| spl0_17 ),
inference(avatar_split_clause,[],[f41,f116,f77,f84,f95]) ).
fof(f41,axiom,
( big_r(sk7,sk8)
| ~ big_p(sk9)
| big_r(sk9,sk10)
| ~ big_p(sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_41) ).
fof(f156,plain,
( ~ spl0_1
| spl0_15
| spl0_4 ),
inference(avatar_split_clause,[],[f14,f59,f104,f48]) ).
fof(f14,axiom,
! [X32,X33] :
( big_p(X32)
| big_r(X32,sk4(X32))
| big_r(sk2(X33),sk1(X33))
| big_p(X33)
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_14) ).
fof(f155,plain,
( spl0_4
| spl0_6
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f5,f48,f66,f59]) ).
fof(f5,axiom,
! [X8,X9] :
( ~ big_p(a)
| big_p(X9)
| big_r(X8,sk4(X8))
| big_p(X8)
| big_r(X9,sk2(X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_5) ).
fof(f154,plain,
( spl0_10
| spl0_21 ),
inference(avatar_split_clause,[],[f46,f142,f81]) ).
fof(f46,axiom,
! [X118,X119,X116,X117] :
( ~ big_p(X116)
| ~ big_r(sk9,X118)
| ~ big_r(sk7,X119)
| ~ big_r(X119,X117)
| ~ big_r(X118,X116)
| ~ big_p(X117) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_46) ).
fof(f153,plain,
( spl0_6
| spl0_20
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f10,f48,f133,f66]) ).
fof(f10,axiom,
! [X21,X22,X23] :
( ~ big_p(a)
| big_p(sk5(X22))
| ~ big_p(X23)
| big_p(X21)
| big_r(X21,sk2(X21))
| ~ big_r(X22,X23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_10) ).
fof(f152,plain,
( ~ spl0_1
| spl0_6
| spl0_19 ),
inference(avatar_split_clause,[],[f4,f127,f66,f48]) ).
fof(f4,axiom,
! [X6,X7] :
( big_p(X6)
| big_r(X7,sk2(X7))
| big_p(X7)
| big_p(sk3(X6))
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_4) ).
fof(f151,plain,
( spl0_3
| ~ spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f31,f69,f48,f55]) ).
fof(f31,axiom,
! [X86,X87,X84,X85] :
( ~ big_r(X84,X86)
| ~ big_p(a)
| big_r(X84,sk6(X84))
| big_r(X85,sk2(X85))
| ~ big_p(X86)
| ~ big_r(X85,X87)
| ~ big_p(X87) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_31) ).
fof(f150,plain,
( spl0_15
| ~ spl0_1
| spl0_8 ),
inference(avatar_split_clause,[],[f15,f73,f48,f104]) ).
fof(f15,axiom,
! [X34,X35] :
( big_p(X34)
| ~ big_p(a)
| big_p(X35)
| big_r(sk2(X35),sk1(X35))
| big_r(sk4(X34),sk3(X34)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_15) ).
fof(f149,plain,
( ~ spl0_13
| spl0_17
| spl0_21 ),
inference(avatar_split_clause,[],[f43,f142,f116,f95]) ).
fof(f43,axiom,
! [X111,X110] :
( ~ big_p(X110)
| ~ big_r(sk9,X111)
| big_r(sk7,sk8)
| ~ big_r(X111,X110)
| ~ big_p(sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_43) ).
fof(f146,plain,
( ~ spl0_1
| spl0_15
| spl0_20 ),
inference(avatar_split_clause,[],[f25,f133,f104,f48]) ).
fof(f25,axiom,
! [X65,X63,X64] :
( ~ big_p(X65)
| big_p(X63)
| big_p(sk5(X64))
| ~ big_r(X64,X65)
| big_r(sk2(X63),sk1(X63))
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_25) ).
fof(f145,plain,
( spl0_20
| ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f29,f55,f48,f133]) ).
fof(f29,axiom,
! [X78,X79,X76,X77] :
( ~ big_r(X77,X79)
| big_r(X77,sk2(X77))
| ~ big_p(a)
| ~ big_r(X76,X78)
| big_p(sk5(X76))
| ~ big_p(X79)
| ~ big_p(X78) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_29) ).
fof(f144,plain,
( spl0_14
| ~ spl0_13
| spl0_21 ),
inference(avatar_split_clause,[],[f42,f142,f95,f99]) ).
fof(f42,axiom,
! [X108,X109] :
( ~ big_r(X109,X108)
| ~ big_r(sk9,X109)
| ~ big_p(X108)
| ~ big_p(sk7)
| big_p(sk8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_42) ).
fof(f138,plain,
( ~ spl0_1
| spl0_16
| spl0_20 ),
inference(avatar_split_clause,[],[f28,f133,f108,f48]) ).
fof(f28,axiom,
! [X72,X73,X74,X75] :
( ~ big_r(X73,X74)
| big_p(sk5(X73))
| ~ big_p(X75)
| ~ big_r(X72,X75)
| big_p(sk1(X72))
| ~ big_p(X74)
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_28) ).
fof(f137,plain,
( ~ spl0_1
| spl0_5
| spl0_20 ),
inference(avatar_split_clause,[],[f7,f133,f62,f48]) ).
fof(f7,axiom,
! [X14,X12,X13] :
( ~ big_p(X14)
| big_p(X12)
| ~ big_p(a)
| ~ big_r(X13,X14)
| big_p(sk1(X12))
| big_p(sk5(X13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_7) ).
fof(f136,plain,
( spl0_18
| spl0_7
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f33,f48,f69,f121]) ).
fof(f33,axiom,
! [X94,X95,X92,X93] :
( ~ big_p(a)
| ~ big_p(X94)
| ~ big_r(X93,X95)
| big_r(X92,sk6(X92))
| big_r(sk2(X93),sk1(X93))
| ~ big_p(X95)
| ~ big_r(X92,X94) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_33) ).
fof(f135,plain,
( ~ spl0_1
| spl0_20
| spl0_18 ),
inference(avatar_split_clause,[],[f32,f121,f133,f48]) ).
fof(f32,axiom,
! [X90,X91,X88,X89] :
( ~ big_p(X91)
| ~ big_p(X90)
| big_r(sk2(X89),sk1(X89))
| ~ big_p(a)
| ~ big_r(X88,X90)
| big_p(sk5(X88))
| ~ big_r(X89,X91) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_32) ).
fof(f125,plain,
( ~ spl0_1
| spl0_2
| spl0_18 ),
inference(avatar_split_clause,[],[f36,f121,f52,f48]) ).
fof(f36,axiom,
! [X106,X107,X104,X105] :
( ~ big_p(X107)
| ~ big_r(X105,X106)
| big_r(sk6(X105),sk5(X105))
| ~ big_p(X106)
| ~ big_r(X104,X107)
| big_r(sk2(X104),sk1(X104))
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_36) ).
fof(f119,plain,
( ~ spl0_9
| spl0_12
| ~ spl0_13
| spl0_17 ),
inference(avatar_split_clause,[],[f40,f116,f95,f89,f77]) ).
fof(f40,axiom,
( big_r(sk7,sk8)
| ~ big_p(sk7)
| big_p(sk10)
| ~ big_p(sk9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_40) ).
fof(f114,plain,
( spl0_5
| ~ spl0_1
| spl0_8 ),
inference(avatar_split_clause,[],[f3,f73,f48,f62]) ).
fof(f3,axiom,
! [X4,X5] :
( big_p(X4)
| big_r(sk4(X4),sk3(X4))
| ~ big_p(a)
| big_p(X5)
| big_p(sk1(X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_3) ).
fof(f111,plain,
( ~ spl0_9
| spl0_12
| spl0_14
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f38,f95,f99,f89,f77]) ).
fof(f38,axiom,
( ~ big_p(sk7)
| big_p(sk8)
| big_p(sk10)
| ~ big_p(sk9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_38) ).
fof(f110,plain,
( ~ spl0_1
| spl0_7
| spl0_16 ),
inference(avatar_split_clause,[],[f30,f108,f69,f48]) ).
fof(f30,axiom,
! [X82,X83,X80,X81] :
( ~ big_p(X83)
| ~ big_r(X81,X82)
| ~ big_p(a)
| big_p(sk1(X80))
| big_r(X81,sk6(X81))
| ~ big_p(X82)
| ~ big_r(X80,X83) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_30) ).
fof(f102,plain,
( ~ spl0_13
| spl0_11
| spl0_14
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f39,f77,f99,f84,f95]) ).
fof(f39,axiom,
( ~ big_p(sk9)
| big_p(sk8)
| big_r(sk9,sk10)
| ~ big_p(sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_39) ).
fof(f93,plain,
spl0_1,
inference(avatar_split_clause,[],[f37,f48]) ).
fof(f37,axiom,
big_p(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_37) ).
fof(f92,plain,
( ~ spl0_9
| spl0_12
| spl0_10 ),
inference(avatar_split_clause,[],[f44,f81,f89,f77]) ).
fof(f44,axiom,
! [X113,X112] :
( ~ big_r(X113,X112)
| ~ big_r(sk7,X113)
| big_p(sk10)
| ~ big_p(sk9)
| ~ big_p(X112) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_44) ).
fof(f87,plain,
( ~ spl0_9
| spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f45,f84,f81,f77]) ).
fof(f45,axiom,
! [X114,X115] :
( big_r(sk9,sk10)
| ~ big_r(sk7,X115)
| ~ big_p(sk9)
| ~ big_r(X115,X114)
| ~ big_p(X114) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_45) ).
fof(f75,plain,
( ~ spl0_1
| spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f66,f73,f48]) ).
fof(f6,axiom,
! [X10,X11] :
( big_p(X11)
| big_r(sk4(X10),sk3(X10))
| ~ big_p(a)
| big_p(X10)
| big_r(X11,sk2(X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_6) ).
fof(f64,plain,
( ~ spl0_1
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f2,f62,f59,f48]) ).
fof(f2,axiom,
! [X2,X3] :
( big_p(X3)
| big_p(X2)
| big_r(X2,sk4(X2))
| ~ big_p(a)
| big_p(sk1(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_2) ).
fof(f57,plain,
( ~ spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f35,f55,f52,f48]) ).
fof(f35,axiom,
! [X101,X102,X103,X100] :
( ~ big_p(X103)
| ~ big_p(X102)
| ~ big_r(X100,X103)
| big_r(sk6(X101),sk5(X101))
| ~ big_r(X101,X102)
| big_r(X100,sk2(X100))
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel38_35) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SYN067-3 : TPTP v8.1.0. Released v1.2.0.
% 0.08/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 30 21:37:27 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.22/0.51 % (1136)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.22/0.51 % (1144)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.22/0.52 % (1136)First to succeed.
% 0.22/0.53 % (1123)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)
% 0.22/0.53 % (1152)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)
% 1.11/0.53 % (1132)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.11/0.54 % (1140)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.11/0.55 % (1136)Refutation found. Thanks to Tanya!
% 1.11/0.55 % SZS status Unsatisfiable for theBenchmark
% 1.11/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.37/0.55 % (1136)------------------------------
% 1.37/0.55 % (1136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55 % (1136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55 % (1136)Termination reason: Refutation
% 1.37/0.55
% 1.37/0.55 % (1136)Memory used [KB]: 5756
% 1.37/0.55 % (1136)Time elapsed: 0.106 s
% 1.37/0.55 % (1136)Instructions burned: 9 (million)
% 1.37/0.55 % (1136)------------------------------
% 1.37/0.55 % (1136)------------------------------
% 1.37/0.55 % (1122)Success in time 0.172 s
%------------------------------------------------------------------------------