TSTP Solution File: GRP218-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP218-1 : TPTP v8.1.0. Released v2.5.0.
% 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 : n023.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 16:20:55 EDT 2022
% Result : Unsatisfiable 0.15s 0.51s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 73
% Syntax : Number of formulae : 221 ( 6 unt; 0 def)
% Number of atoms : 652 ( 281 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 794 ( 363 ~; 402 |; 0 &)
% ( 29 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 31 ( 29 usr; 30 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 67 ( 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f492,plain,
$false,
inference(avatar_sat_refutation,[],[f64,f73,f82,f90,f95,f100,f101,f106,f111,f119,f124,f125,f126,f131,f136,f137,f138,f139,f140,f141,f142,f143,f144,f149,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f193,f194,f212,f233,f273,f276,f310,f325,f328,f379,f432,f446,f491]) ).
fof(f491,plain,
( ~ spl4_1
| spl4_22
| ~ spl4_23 ),
inference(avatar_contradiction_clause,[],[f490]) ).
fof(f490,plain,
( $false
| ~ spl4_1
| spl4_22
| ~ spl4_23 ),
inference(trivial_inequality_removal,[],[f489]) ).
fof(f489,plain,
( identity != identity
| ~ spl4_1
| spl4_22
| ~ spl4_23 ),
inference(superposition,[],[f454,f466]) ).
fof(f466,plain,
( identity = inverse(identity)
| ~ spl4_1
| ~ spl4_23 ),
inference(backward_demodulation,[],[f451,f464]) ).
fof(f464,plain,
( identity = sk_c6
| ~ spl4_1
| ~ spl4_23 ),
inference(forward_demodulation,[],[f455,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f455,plain,
( sk_c6 = multiply(inverse(identity),identity)
| ~ spl4_1
| ~ spl4_23 ),
inference(backward_demodulation,[],[f298,f197]) ).
fof(f197,plain,
( identity = sk_c10
| ~ spl4_23 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f196,plain,
( spl4_23
<=> identity = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).
fof(f298,plain,
( sk_c6 = multiply(inverse(sk_c10),identity)
| ~ spl4_1 ),
inference(superposition,[],[f242,f278]) ).
fof(f278,plain,
( identity = multiply(sk_c10,sk_c6)
| ~ spl4_1 ),
inference(superposition,[],[f2,f59]) ).
fof(f59,plain,
( sk_c10 = inverse(sk_c6)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f57,plain,
( spl4_1
<=> sk_c10 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f242,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f236,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f236,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f451,plain,
( identity = inverse(sk_c6)
| ~ spl4_1
| ~ spl4_23 ),
inference(backward_demodulation,[],[f59,f197]) ).
fof(f454,plain,
( identity != inverse(identity)
| spl4_22
| ~ spl4_23 ),
inference(backward_demodulation,[],[f192,f197]) ).
fof(f192,plain,
( sk_c10 != inverse(identity)
| spl4_22 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f190,plain,
( spl4_22
<=> sk_c10 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).
fof(f446,plain,
( spl4_23
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_12
| ~ spl4_21 ),
inference(avatar_split_clause,[],[f445,f186,f108,f92,f75,f70,f57,f196]) ).
fof(f70,plain,
( spl4_4
<=> sk_c10 = multiply(sk_c6,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f75,plain,
( spl4_5
<=> sk_c8 = multiply(sk_c7,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f92,plain,
( spl4_9
<=> sk_c9 = multiply(sk_c10,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f108,plain,
( spl4_12
<=> sk_c10 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f186,plain,
( spl4_21
<=> sk_c10 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).
fof(f445,plain,
( identity = sk_c10
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_12
| ~ spl4_21 ),
inference(forward_demodulation,[],[f444,f361]) ).
fof(f361,plain,
( identity = sk_c8
| ~ spl4_9
| ~ spl4_21 ),
inference(forward_demodulation,[],[f353,f2]) ).
fof(f353,plain,
( sk_c8 = multiply(inverse(sk_c10),sk_c10)
| ~ spl4_9
| ~ spl4_21 ),
inference(backward_demodulation,[],[f299,f187]) ).
fof(f187,plain,
( sk_c10 = sk_c9
| ~ spl4_21 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f299,plain,
( sk_c8 = multiply(inverse(sk_c10),sk_c9)
| ~ spl4_9 ),
inference(superposition,[],[f242,f94]) ).
fof(f94,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f444,plain,
( sk_c10 = sk_c8
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_12
| ~ spl4_21 ),
inference(forward_demodulation,[],[f443,f414]) ).
fof(f414,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_12
| ~ spl4_21 ),
inference(backward_demodulation,[],[f412,f413]) ).
fof(f413,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_12
| ~ spl4_21 ),
inference(backward_demodulation,[],[f403,f412]) ).
fof(f403,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c10,X0)) = multiply(sk_c10,X0)
| ~ spl4_4
| ~ spl4_21 ),
inference(forward_demodulation,[],[f281,f187]) ).
fof(f281,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c9,X0)) = multiply(sk_c10,X0)
| ~ spl4_4 ),
inference(superposition,[],[f3,f72]) ).
fof(f72,plain,
( sk_c10 = multiply(sk_c6,sk_c9)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f412,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c10,X0)) = X0
| ~ spl4_1
| ~ spl4_5
| ~ spl4_9
| ~ spl4_12
| ~ spl4_21 ),
inference(forward_demodulation,[],[f411,f1]) ).
fof(f411,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c10,X0))
| ~ spl4_1
| ~ spl4_5
| ~ spl4_9
| ~ spl4_12
| ~ spl4_21 ),
inference(forward_demodulation,[],[f410,f400]) ).
fof(f400,plain,
( sk_c6 = sk_c7
| ~ spl4_1
| ~ spl4_12 ),
inference(backward_demodulation,[],[f300,f298]) ).
fof(f300,plain,
( sk_c7 = multiply(inverse(sk_c10),identity)
| ~ spl4_12 ),
inference(superposition,[],[f242,f280]) ).
fof(f280,plain,
( identity = multiply(sk_c10,sk_c7)
| ~ spl4_12 ),
inference(superposition,[],[f2,f110]) ).
fof(f110,plain,
( sk_c10 = inverse(sk_c7)
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f410,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c10,X0))
| ~ spl4_5
| ~ spl4_9
| ~ spl4_21 ),
inference(forward_demodulation,[],[f282,f361]) ).
fof(f282,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c10,X0)) = multiply(sk_c8,X0)
| ~ spl4_5 ),
inference(superposition,[],[f3,f77]) ).
fof(f77,plain,
( sk_c8 = multiply(sk_c7,sk_c10)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f443,plain,
( sk_c8 = multiply(sk_c6,sk_c10)
| ~ spl4_1
| ~ spl4_5
| ~ spl4_12 ),
inference(forward_demodulation,[],[f77,f400]) ).
fof(f432,plain,
( ~ spl4_21
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_12
| ~ spl4_20
| ~ spl4_21 ),
inference(avatar_split_clause,[],[f431,f186,f155,f108,f92,f75,f70,f57,f186]) ).
fof(f155,plain,
( spl4_20
<=> ! [X4] :
( sk_c9 != multiply(inverse(X4),sk_c10)
| sk_c9 != multiply(X4,inverse(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).
fof(f431,plain,
( sk_c10 != sk_c9
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_12
| ~ spl4_20
| ~ spl4_21 ),
inference(forward_demodulation,[],[f430,f414]) ).
fof(f430,plain,
( sk_c9 != multiply(sk_c6,sk_c10)
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_12
| ~ spl4_20
| ~ spl4_21 ),
inference(trivial_inequality_removal,[],[f429]) ).
fof(f429,plain,
( sk_c10 != sk_c10
| sk_c9 != multiply(sk_c6,sk_c10)
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_12
| ~ spl4_20
| ~ spl4_21 ),
inference(forward_demodulation,[],[f428,f187]) ).
fof(f428,plain,
( sk_c10 != sk_c9
| sk_c9 != multiply(sk_c6,sk_c10)
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_9
| ~ spl4_12
| ~ spl4_20
| ~ spl4_21 ),
inference(forward_demodulation,[],[f427,f413]) ).
fof(f427,plain,
( sk_c9 != multiply(sk_c10,sk_c10)
| sk_c9 != multiply(sk_c6,sk_c10)
| ~ spl4_1
| ~ spl4_12
| ~ spl4_20 ),
inference(forward_demodulation,[],[f279,f400]) ).
fof(f279,plain,
( sk_c9 != multiply(sk_c7,sk_c10)
| sk_c9 != multiply(sk_c10,sk_c10)
| ~ spl4_12
| ~ spl4_20 ),
inference(superposition,[],[f156,f110]) ).
fof(f156,plain,
( ! [X4] :
( sk_c9 != multiply(inverse(X4),sk_c10)
| sk_c9 != multiply(X4,inverse(X4)) )
| ~ spl4_20 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f379,plain,
( ~ spl4_21
| ~ spl4_2
| ~ spl4_11
| ~ spl4_17
| ~ spl4_21
| spl4_33 ),
inference(avatar_split_clause,[],[f378,f270,f186,f133,f103,f61,f186]) ).
fof(f61,plain,
( spl4_2
<=> sk_c10 = multiply(sk_c1,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f103,plain,
( spl4_11
<=> inverse(sk_c1) = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f133,plain,
( spl4_17
<=> sk_c10 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
fof(f270,plain,
( spl4_33
<=> sk_c9 = multiply(sk_c4,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_33])]) ).
fof(f378,plain,
( sk_c10 != sk_c9
| ~ spl4_2
| ~ spl4_11
| ~ spl4_17
| ~ spl4_21
| spl4_33 ),
inference(forward_demodulation,[],[f377,f344]) ).
fof(f344,plain,
( sk_c10 = multiply(sk_c1,sk_c10)
| ~ spl4_2
| ~ spl4_21 ),
inference(backward_demodulation,[],[f63,f187]) ).
fof(f63,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f377,plain,
( sk_c9 != multiply(sk_c1,sk_c10)
| ~ spl4_11
| ~ spl4_17
| spl4_33 ),
inference(forward_demodulation,[],[f272,f311]) ).
fof(f311,plain,
( sk_c1 = sk_c4
| ~ spl4_11
| ~ spl4_17 ),
inference(backward_demodulation,[],[f302,f297]) ).
fof(f297,plain,
( sk_c1 = multiply(inverse(sk_c10),identity)
| ~ spl4_11 ),
inference(superposition,[],[f242,f179]) ).
fof(f179,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl4_11 ),
inference(superposition,[],[f2,f105]) ).
fof(f105,plain,
( inverse(sk_c1) = sk_c10
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f302,plain,
( sk_c4 = multiply(inverse(sk_c10),identity)
| ~ spl4_17 ),
inference(superposition,[],[f242,f180]) ).
fof(f180,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl4_17 ),
inference(superposition,[],[f2,f135]) ).
fof(f135,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl4_17 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f272,plain,
( sk_c9 != multiply(sk_c4,sk_c10)
| spl4_33 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f328,plain,
( spl4_21
| ~ spl4_5
| ~ spl4_9
| ~ spl4_12 ),
inference(avatar_split_clause,[],[f327,f108,f92,f75,f186]) ).
fof(f327,plain,
( sk_c10 = sk_c9
| ~ spl4_5
| ~ spl4_9
| ~ spl4_12 ),
inference(backward_demodulation,[],[f94,f326]) ).
fof(f326,plain,
( sk_c10 = multiply(sk_c10,sk_c8)
| ~ spl4_5
| ~ spl4_12 ),
inference(forward_demodulation,[],[f304,f110]) ).
fof(f304,plain,
( sk_c10 = multiply(inverse(sk_c7),sk_c8)
| ~ spl4_5 ),
inference(superposition,[],[f242,f77]) ).
fof(f325,plain,
( spl4_25
| ~ spl4_2
| ~ spl4_11 ),
inference(avatar_split_clause,[],[f324,f103,f61,f209]) ).
fof(f209,plain,
( spl4_25
<=> sk_c9 = multiply(sk_c10,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_25])]) ).
fof(f324,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl4_2
| ~ spl4_11 ),
inference(forward_demodulation,[],[f296,f105]) ).
fof(f296,plain,
( sk_c9 = multiply(inverse(sk_c1),sk_c10)
| ~ spl4_2 ),
inference(superposition,[],[f242,f63]) ).
fof(f310,plain,
( spl4_25
| ~ spl4_1
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f309,f70,f57,f209]) ).
fof(f309,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl4_1
| ~ spl4_4 ),
inference(forward_demodulation,[],[f303,f59]) ).
fof(f303,plain,
( sk_c9 = multiply(inverse(sk_c6),sk_c10)
| ~ spl4_4 ),
inference(superposition,[],[f242,f72]) ).
fof(f276,plain,
( ~ spl4_16
| ~ spl4_3
| ~ spl4_6
| ~ spl4_20 ),
inference(avatar_split_clause,[],[f275,f155,f79,f66,f128]) ).
fof(f128,plain,
( spl4_16
<=> sk_c9 = multiply(sk_c3,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).
fof(f66,plain,
( spl4_3
<=> sk_c9 = multiply(sk_c2,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f79,plain,
( spl4_6
<=> sk_c3 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f275,plain,
( sk_c9 != multiply(sk_c3,sk_c10)
| ~ spl4_3
| ~ spl4_6
| ~ spl4_20 ),
inference(trivial_inequality_removal,[],[f274]) ).
fof(f274,plain,
( sk_c9 != multiply(sk_c3,sk_c10)
| sk_c9 != sk_c9
| ~ spl4_3
| ~ spl4_6
| ~ spl4_20 ),
inference(forward_demodulation,[],[f251,f68]) ).
fof(f68,plain,
( sk_c9 = multiply(sk_c2,sk_c3)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f251,plain,
( sk_c9 != multiply(sk_c2,sk_c3)
| sk_c9 != multiply(sk_c3,sk_c10)
| ~ spl4_6
| ~ spl4_20 ),
inference(superposition,[],[f156,f81]) ).
fof(f81,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f273,plain,
( ~ spl4_33
| ~ spl4_25
| ~ spl4_17
| ~ spl4_20 ),
inference(avatar_split_clause,[],[f253,f155,f133,f209,f270]) ).
fof(f253,plain,
( sk_c9 != multiply(sk_c10,sk_c10)
| sk_c9 != multiply(sk_c4,sk_c10)
| ~ spl4_17
| ~ spl4_20 ),
inference(superposition,[],[f156,f135]) ).
fof(f233,plain,
( ~ spl4_10
| ~ spl4_13
| ~ spl4_15
| ~ spl4_17 ),
inference(avatar_split_clause,[],[f232,f133,f121,f113,f97]) ).
fof(f97,plain,
( spl4_10
<=> sk_c9 = multiply(sk_c10,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f113,plain,
( spl4_13
<=> ! [X7] :
( sk_c10 != inverse(X7)
| sk_c9 != multiply(sk_c10,multiply(X7,sk_c10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).
fof(f121,plain,
( spl4_15
<=> sk_c5 = multiply(sk_c4,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
fof(f232,plain,
( sk_c9 != multiply(sk_c10,sk_c5)
| ~ spl4_13
| ~ spl4_15
| ~ spl4_17 ),
inference(trivial_inequality_removal,[],[f231]) ).
fof(f231,plain,
( sk_c9 != multiply(sk_c10,sk_c5)
| sk_c10 != sk_c10
| ~ spl4_13
| ~ spl4_15
| ~ spl4_17 ),
inference(forward_demodulation,[],[f207,f135]) ).
fof(f207,plain,
( sk_c10 != inverse(sk_c4)
| sk_c9 != multiply(sk_c10,sk_c5)
| ~ spl4_13
| ~ spl4_15 ),
inference(superposition,[],[f114,f123]) ).
fof(f123,plain,
( sk_c5 = multiply(sk_c4,sk_c10)
| ~ spl4_15 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f114,plain,
( ! [X7] :
( sk_c9 != multiply(sk_c10,multiply(X7,sk_c10))
| sk_c10 != inverse(X7) )
| ~ spl4_13 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f212,plain,
( ~ spl4_25
| ~ spl4_22
| ~ spl4_13 ),
inference(avatar_split_clause,[],[f204,f113,f190,f209]) ).
fof(f204,plain,
( sk_c10 != inverse(identity)
| sk_c9 != multiply(sk_c10,sk_c10)
| ~ spl4_13 ),
inference(superposition,[],[f114,f1]) ).
fof(f194,plain,
( ~ spl4_11
| ~ spl4_2
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f184,f88,f61,f103]) ).
fof(f88,plain,
( spl4_8
<=> ! [X8] :
( sk_c10 != inverse(X8)
| sk_c10 != multiply(X8,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f184,plain,
( inverse(sk_c1) != sk_c10
| ~ spl4_2
| ~ spl4_8 ),
inference(trivial_inequality_removal,[],[f183]) ).
fof(f183,plain,
( sk_c10 != sk_c10
| inverse(sk_c1) != sk_c10
| ~ spl4_2
| ~ spl4_8 ),
inference(superposition,[],[f89,f63]) ).
fof(f89,plain,
( ! [X8] :
( sk_c10 != multiply(X8,sk_c9)
| sk_c10 != inverse(X8) )
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f193,plain,
( ~ spl4_21
| ~ spl4_22
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f181,f88,f190,f186]) ).
fof(f181,plain,
( sk_c10 != inverse(identity)
| sk_c10 != sk_c9
| ~ spl4_8 ),
inference(superposition,[],[f89,f1]) ).
fof(f177,plain,
( spl4_19
| spl4_8 ),
inference(avatar_split_clause,[],[f48,f88,f151]) ).
fof(f151,plain,
( spl4_19
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).
fof(f48,plain,
! [X3] :
( sk_c10 != inverse(X3)
| sP0
| sk_c10 != multiply(X3,sk_c9) ),
inference(cnf_transformation,[],[f48_D]) ).
fof(f48_D,plain,
( ! [X3] :
( sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f176,plain,
( spl4_11
| spl4_1 ),
inference(avatar_split_clause,[],[f4,f57,f103]) ).
fof(f4,axiom,
( sk_c10 = inverse(sk_c6)
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f175,plain,
( spl4_5
| spl4_15 ),
inference(avatar_split_clause,[],[f37,f121,f75]) ).
fof(f37,axiom,
( sk_c5 = multiply(sk_c4,sk_c10)
| sk_c8 = multiply(sk_c7,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f174,plain,
( spl4_17
| spl4_1 ),
inference(avatar_split_clause,[],[f39,f57,f133]) ).
fof(f39,axiom,
( sk_c10 = inverse(sk_c6)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f173,plain,
( spl4_10
| spl4_5 ),
inference(avatar_split_clause,[],[f32,f75,f97]) ).
fof(f32,axiom,
( sk_c8 = multiply(sk_c7,sk_c10)
| sk_c9 = multiply(sk_c10,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f172,plain,
( spl4_5
| spl4_16 ),
inference(avatar_split_clause,[],[f27,f128,f75]) ).
fof(f27,axiom,
( sk_c9 = multiply(sk_c3,sk_c10)
| sk_c8 = multiply(sk_c7,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f171,plain,
( spl4_2
| spl4_4 ),
inference(avatar_split_clause,[],[f10,f70,f61]) ).
fof(f10,axiom,
( sk_c10 = multiply(sk_c6,sk_c9)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f170,plain,
( spl4_12
| spl4_11 ),
inference(avatar_split_clause,[],[f8,f103,f108]) ).
fof(f8,axiom,
( inverse(sk_c1) = sk_c10
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f169,plain,
( spl4_9
| spl4_17 ),
inference(avatar_split_clause,[],[f41,f133,f92]) ).
fof(f41,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f168,plain,
( spl4_4
| spl4_16 ),
inference(avatar_split_clause,[],[f25,f128,f70]) ).
fof(f25,axiom,
( sk_c9 = multiply(sk_c3,sk_c10)
| sk_c10 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f167,plain,
( spl4_12
| spl4_16 ),
inference(avatar_split_clause,[],[f28,f128,f108]) ).
fof(f28,axiom,
( sk_c9 = multiply(sk_c3,sk_c10)
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f166,plain,
( spl4_17
| spl4_5 ),
inference(avatar_split_clause,[],[f42,f75,f133]) ).
fof(f42,axiom,
( sk_c8 = multiply(sk_c7,sk_c10)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f165,plain,
( spl4_5
| spl4_11 ),
inference(avatar_split_clause,[],[f7,f103,f75]) ).
fof(f7,axiom,
( inverse(sk_c1) = sk_c10
| sk_c8 = multiply(sk_c7,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f164,plain,
( spl4_2
| spl4_5 ),
inference(avatar_split_clause,[],[f12,f75,f61]) ).
fof(f12,axiom,
( sk_c8 = multiply(sk_c7,sk_c10)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f163,plain,
( spl4_6
| spl4_1 ),
inference(avatar_split_clause,[],[f19,f57,f79]) ).
fof(f19,axiom,
( sk_c10 = inverse(sk_c6)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f162,plain,
( spl4_15
| spl4_1 ),
inference(avatar_split_clause,[],[f34,f57,f121]) ).
fof(f34,axiom,
( sk_c10 = inverse(sk_c6)
| sk_c5 = multiply(sk_c4,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f161,plain,
( spl4_4
| spl4_10 ),
inference(avatar_split_clause,[],[f30,f97,f70]) ).
fof(f30,axiom,
( sk_c9 = multiply(sk_c10,sk_c5)
| sk_c10 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f160,plain,
( spl4_4
| spl4_15 ),
inference(avatar_split_clause,[],[f35,f121,f70]) ).
fof(f35,axiom,
( sk_c5 = multiply(sk_c4,sk_c10)
| sk_c10 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f159,plain,
( spl4_4
| spl4_17 ),
inference(avatar_split_clause,[],[f40,f133,f70]) ).
fof(f40,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f158,plain,
( spl4_9
| spl4_15 ),
inference(avatar_split_clause,[],[f36,f121,f92]) ).
fof(f36,axiom,
( sk_c5 = multiply(sk_c4,sk_c10)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f157,plain,
( ~ spl4_18
| ~ spl4_14
| ~ spl4_19
| spl4_20
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f55,f84,f155,f151,f116,f146]) ).
fof(f146,plain,
( spl4_18
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).
fof(f116,plain,
( spl4_14
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
fof(f84,plain,
( spl4_7
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f55,plain,
! [X4] :
( ~ sP2
| sk_c9 != multiply(inverse(X4),sk_c10)
| sk_c9 != multiply(X4,inverse(X4))
| ~ sP0
| ~ sP3
| ~ sP1 ),
inference(general_splitting,[],[f53,f54_D]) ).
fof(f54,plain,
! [X7] :
( sP3
| sk_c10 != inverse(X7)
| sk_c9 != multiply(sk_c10,multiply(X7,sk_c10)) ),
inference(cnf_transformation,[],[f54_D]) ).
fof(f54_D,plain,
( ! [X7] :
( sk_c10 != inverse(X7)
| sk_c9 != multiply(sk_c10,multiply(X7,sk_c10)) )
<=> ~ sP3 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f53,plain,
! [X7,X4] :
( sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(inverse(X4),sk_c10)
| sk_c9 != multiply(sk_c10,multiply(X7,sk_c10))
| sk_c10 != inverse(X7)
| ~ sP0
| ~ sP1
| ~ sP2 ),
inference(general_splitting,[],[f51,f52_D]) ).
fof(f52,plain,
! [X8] :
( sk_c10 != inverse(X8)
| sk_c10 != multiply(X8,sk_c9)
| sP2 ),
inference(cnf_transformation,[],[f52_D]) ).
fof(f52_D,plain,
( ! [X8] :
( sk_c10 != inverse(X8)
| sk_c10 != multiply(X8,sk_c9) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f51,plain,
! [X8,X7,X4] :
( sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(inverse(X4),sk_c10)
| sk_c10 != multiply(X8,sk_c9)
| sk_c9 != multiply(sk_c10,multiply(X7,sk_c10))
| sk_c10 != inverse(X7)
| sk_c10 != inverse(X8)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f49,f50_D]) ).
fof(f50,plain,
! [X10] :
( sP1
| sk_c10 != inverse(X10)
| sk_c9 != multiply(sk_c10,multiply(X10,sk_c10)) ),
inference(cnf_transformation,[],[f50_D]) ).
fof(f50_D,plain,
( ! [X10] :
( sk_c10 != inverse(X10)
| sk_c9 != multiply(sk_c10,multiply(X10,sk_c10)) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f49,plain,
! [X10,X8,X7,X4] :
( sk_c9 != multiply(sk_c10,multiply(X10,sk_c10))
| sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(inverse(X4),sk_c10)
| sk_c10 != multiply(X8,sk_c9)
| sk_c10 != inverse(X10)
| sk_c9 != multiply(sk_c10,multiply(X7,sk_c10))
| sk_c10 != inverse(X7)
| sk_c10 != inverse(X8)
| ~ sP0 ),
inference(general_splitting,[],[f47,f48_D]) ).
fof(f47,plain,
! [X3,X10,X8,X7,X4] :
( sk_c9 != multiply(sk_c10,multiply(X10,sk_c10))
| sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(inverse(X4),sk_c10)
| sk_c10 != multiply(X8,sk_c9)
| sk_c10 != inverse(X10)
| sk_c9 != multiply(sk_c10,multiply(X7,sk_c10))
| sk_c10 != inverse(X7)
| sk_c10 != inverse(X8)
| sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9) ),
inference(equality_resolution,[],[f46]) ).
fof(f46,plain,
! [X3,X10,X8,X6,X7,X4] :
( sk_c9 != multiply(sk_c10,multiply(X10,sk_c10))
| sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(inverse(X4),sk_c10)
| sk_c10 != multiply(X8,sk_c9)
| sk_c10 != inverse(X10)
| sk_c9 != multiply(sk_c10,X6)
| sk_c10 != inverse(X7)
| multiply(X7,sk_c10) != X6
| sk_c10 != inverse(X8)
| sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9) ),
inference(equality_resolution,[],[f45]) ).
fof(f45,plain,
! [X3,X10,X8,X6,X7,X4,X5] :
( sk_c9 != multiply(sk_c10,multiply(X10,sk_c10))
| sk_c9 != multiply(X4,X5)
| sk_c9 != multiply(X5,sk_c10)
| sk_c10 != multiply(X8,sk_c9)
| inverse(X4) != X5
| sk_c10 != inverse(X10)
| sk_c9 != multiply(sk_c10,X6)
| sk_c10 != inverse(X7)
| multiply(X7,sk_c10) != X6
| sk_c10 != inverse(X8)
| sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9) ),
inference(equality_resolution,[],[f44]) ).
fof(f44,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( multiply(X10,sk_c10) != X9
| sk_c9 != multiply(sk_c10,X9)
| sk_c9 != multiply(X4,X5)
| sk_c9 != multiply(X5,sk_c10)
| sk_c10 != multiply(X8,sk_c9)
| inverse(X4) != X5
| sk_c10 != inverse(X10)
| sk_c9 != multiply(sk_c10,X6)
| sk_c10 != inverse(X7)
| multiply(X7,sk_c10) != X6
| sk_c10 != inverse(X8)
| sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f149,plain,
( spl4_13
| spl4_18 ),
inference(avatar_split_clause,[],[f50,f146,f113]) ).
fof(f144,plain,
( spl4_2
| spl4_9 ),
inference(avatar_split_clause,[],[f11,f92,f61]) ).
fof(f11,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f143,plain,
( spl4_1
| spl4_3 ),
inference(avatar_split_clause,[],[f14,f66,f57]) ).
fof(f14,axiom,
( sk_c9 = multiply(sk_c2,sk_c3)
| sk_c10 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f142,plain,
( spl4_3
| spl4_12 ),
inference(avatar_split_clause,[],[f18,f108,f66]) ).
fof(f18,axiom,
( sk_c10 = inverse(sk_c7)
| sk_c9 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f141,plain,
( spl4_3
| spl4_9 ),
inference(avatar_split_clause,[],[f16,f92,f66]) ).
fof(f16,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c9 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f140,plain,
( spl4_5
| spl4_3 ),
inference(avatar_split_clause,[],[f17,f66,f75]) ).
fof(f17,axiom,
( sk_c9 = multiply(sk_c2,sk_c3)
| sk_c8 = multiply(sk_c7,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f139,plain,
( spl4_1
| spl4_16 ),
inference(avatar_split_clause,[],[f24,f128,f57]) ).
fof(f24,axiom,
( sk_c9 = multiply(sk_c3,sk_c10)
| sk_c10 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f138,plain,
( spl4_11
| spl4_9 ),
inference(avatar_split_clause,[],[f6,f92,f103]) ).
fof(f6,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f137,plain,
( spl4_12
| spl4_10 ),
inference(avatar_split_clause,[],[f33,f97,f108]) ).
fof(f33,axiom,
( sk_c9 = multiply(sk_c10,sk_c5)
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f136,plain,
( spl4_17
| spl4_12 ),
inference(avatar_split_clause,[],[f43,f108,f133]) ).
fof(f43,axiom,
( sk_c10 = inverse(sk_c7)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f131,plain,
( spl4_16
| spl4_9 ),
inference(avatar_split_clause,[],[f26,f92,f128]) ).
fof(f26,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c9 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f126,plain,
( spl4_6
| spl4_12 ),
inference(avatar_split_clause,[],[f23,f108,f79]) ).
fof(f23,axiom,
( sk_c10 = inverse(sk_c7)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f125,plain,
( spl4_10
| spl4_1 ),
inference(avatar_split_clause,[],[f29,f57,f97]) ).
fof(f29,axiom,
( sk_c10 = inverse(sk_c6)
| sk_c9 = multiply(sk_c10,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f124,plain,
( spl4_12
| spl4_15 ),
inference(avatar_split_clause,[],[f38,f121,f108]) ).
fof(f38,axiom,
( sk_c5 = multiply(sk_c4,sk_c10)
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f119,plain,
( spl4_13
| spl4_14 ),
inference(avatar_split_clause,[],[f54,f116,f113]) ).
fof(f111,plain,
( spl4_2
| spl4_12 ),
inference(avatar_split_clause,[],[f13,f108,f61]) ).
fof(f13,axiom,
( sk_c10 = inverse(sk_c7)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f106,plain,
( spl4_4
| spl4_11 ),
inference(avatar_split_clause,[],[f5,f103,f70]) ).
fof(f5,axiom,
( inverse(sk_c1) = sk_c10
| sk_c10 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f101,plain,
( spl4_6
| spl4_4 ),
inference(avatar_split_clause,[],[f20,f70,f79]) ).
fof(f20,axiom,
( sk_c10 = multiply(sk_c6,sk_c9)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f100,plain,
( spl4_9
| spl4_10 ),
inference(avatar_split_clause,[],[f31,f97,f92]) ).
fof(f31,axiom,
( sk_c9 = multiply(sk_c10,sk_c5)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f95,plain,
( spl4_6
| spl4_9 ),
inference(avatar_split_clause,[],[f21,f92,f79]) ).
fof(f21,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f90,plain,
( spl4_7
| spl4_8 ),
inference(avatar_split_clause,[],[f52,f88,f84]) ).
fof(f82,plain,
( spl4_5
| spl4_6 ),
inference(avatar_split_clause,[],[f22,f79,f75]) ).
fof(f22,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c8 = multiply(sk_c7,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f73,plain,
( spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f15,f70,f66]) ).
fof(f15,axiom,
( sk_c10 = multiply(sk_c6,sk_c9)
| sk_c9 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f64,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f9,f61,f57]) ).
fof(f9,axiom,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c10 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP218-1 : TPTP v8.1.0. Released v2.5.0.
% 0.05/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31 % Computer : n023.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Aug 29 22:42:20 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.15/0.47 % (22304)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.15/0.47 % (22290)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)
% 0.15/0.47 % (22289)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.47 % (22291)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.15/0.48 % (22297)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.48 % (22298)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)
% 0.15/0.48 % (22283)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.49 % (22289)First to succeed.
% 0.15/0.49 % (22306)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)
% 0.15/0.49 % (22305)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)
% 0.15/0.51 % (22289)Refutation found. Thanks to Tanya!
% 0.15/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.51 % (22289)------------------------------
% 0.15/0.51 % (22289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51 % (22289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51 % (22289)Termination reason: Refutation
% 0.15/0.51
% 0.15/0.51 % (22289)Memory used [KB]: 5756
% 0.15/0.51 % (22289)Time elapsed: 0.111 s
% 0.15/0.51 % (22289)Instructions burned: 11 (million)
% 0.15/0.51 % (22289)------------------------------
% 0.15/0.51 % (22289)------------------------------
% 0.15/0.51 % (22278)Success in time 0.188 s
%------------------------------------------------------------------------------