TSTP Solution File: GRP259-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP259-1 : 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 16:21:04 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 59
% Syntax : Number of formulae : 233 ( 6 unt; 0 def)
% Number of atoms : 751 ( 258 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1000 ( 482 ~; 488 |; 0 &)
% ( 30 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 32 ( 30 usr; 31 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f877,plain,
$false,
inference(avatar_sat_refutation,[],[f56,f61,f66,f71,f81,f87,f92,f100,f109,f118,f119,f127,f128,f135,f136,f137,f138,f139,f147,f148,f149,f155,f156,f158,f159,f160,f161,f162,f163,f164,f294,f304,f328,f336,f464,f487,f511,f528,f597,f613,f677,f696,f728,f754,f774,f778,f785,f796,f825,f876]) ).
fof(f876,plain,
( ~ spl4_3
| ~ spl4_5
| ~ spl4_6
| ~ spl4_18
| spl4_24
| ~ spl4_29 ),
inference(avatar_contradiction_clause,[],[f875]) ).
fof(f875,plain,
( $false
| ~ spl4_3
| ~ spl4_5
| ~ spl4_6
| ~ spl4_18
| spl4_24
| ~ spl4_29 ),
inference(subsumption_resolution,[],[f874,f185]) ).
fof(f185,plain,
( sk_c8 != sk_c7
| spl4_24 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f183,plain,
( spl4_24
<=> sk_c8 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_24])]) ).
fof(f874,plain,
( sk_c8 = sk_c7
| ~ spl4_3
| ~ spl4_5
| ~ spl4_6
| ~ spl4_18
| ~ spl4_29 ),
inference(forward_demodulation,[],[f872,f445]) ).
fof(f445,plain,
( sk_c7 = multiply(sk_c2,sk_c7)
| ~ spl4_3
| ~ spl4_29 ),
inference(forward_demodulation,[],[f60,f211]) ).
fof(f211,plain,
( sk_c7 = sk_c6
| ~ spl4_29 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f210,plain,
( spl4_29
<=> sk_c7 = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).
fof(f60,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl4_3
<=> sk_c6 = multiply(sk_c2,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f872,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl4_5
| ~ spl4_6
| ~ spl4_18
| ~ spl4_29 ),
inference(backward_demodulation,[],[f441,f870]) ).
fof(f870,plain,
( sk_c2 = sk_c3
| ~ spl4_5
| ~ spl4_18
| ~ spl4_29 ),
inference(forward_demodulation,[],[f571,f568]) ).
fof(f568,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl4_18 ),
inference(superposition,[],[f238,f560]) ).
fof(f560,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl4_18 ),
inference(superposition,[],[f2,f134]) ).
fof(f134,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl4_18 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl4_18
<=> sk_c7 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f238,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f227,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f227,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/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f571,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl4_5
| ~ spl4_29 ),
inference(superposition,[],[f238,f561]) ).
fof(f561,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl4_5
| ~ spl4_29 ),
inference(superposition,[],[f2,f444]) ).
fof(f444,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl4_5
| ~ spl4_29 ),
inference(forward_demodulation,[],[f70,f211]) ).
fof(f70,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl4_5
<=> sk_c6 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f441,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl4_6
| ~ spl4_29 ),
inference(forward_demodulation,[],[f76,f211]) ).
fof(f76,plain,
( sk_c8 = multiply(sk_c3,sk_c6)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f74,plain,
( spl4_6
<=> sk_c8 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f825,plain,
( spl4_29
| ~ spl4_1
| ~ spl4_5
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f822,f74,f68,f49,f210]) ).
fof(f49,plain,
( spl4_1
<=> sk_c7 = multiply(sk_c6,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f822,plain,
( sk_c7 = sk_c6
| ~ spl4_1
| ~ spl4_5
| ~ spl4_6 ),
inference(forward_demodulation,[],[f821,f51]) ).
fof(f51,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f821,plain,
( sk_c6 = multiply(sk_c6,sk_c8)
| ~ spl4_5
| ~ spl4_6 ),
inference(forward_demodulation,[],[f819,f70]) ).
fof(f819,plain,
( sk_c6 = multiply(inverse(sk_c3),sk_c8)
| ~ spl4_6 ),
inference(superposition,[],[f238,f76]) ).
fof(f796,plain,
( ~ spl4_29
| ~ spl4_28
| ~ spl4_12 ),
inference(avatar_split_clause,[],[f193,f103,f206,f210]) ).
fof(f206,plain,
( spl4_28
<=> sk_c7 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_28])]) ).
fof(f103,plain,
( spl4_12
<=> ! [X4] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f193,plain,
( sk_c7 != inverse(identity)
| sk_c7 != sk_c6
| ~ spl4_12 ),
inference(superposition,[],[f104,f1]) ).
fof(f104,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f785,plain,
( spl4_29
| ~ spl4_3
| ~ spl4_18
| ~ spl4_34 ),
inference(avatar_split_clause,[],[f784,f495,f132,f58,f210]) ).
fof(f495,plain,
( spl4_34
<=> identity = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_34])]) ).
fof(f784,plain,
( sk_c7 = sk_c6
| ~ spl4_3
| ~ spl4_18
| ~ spl4_34 ),
inference(forward_demodulation,[],[f783,f598]) ).
fof(f598,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl4_34 ),
inference(backward_demodulation,[],[f1,f496]) ).
fof(f496,plain,
( identity = sk_c7
| ~ spl4_34 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f783,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl4_3
| ~ spl4_18
| ~ spl4_34 ),
inference(forward_demodulation,[],[f60,f632]) ).
fof(f632,plain,
( sk_c7 = sk_c2
| ~ spl4_18
| ~ spl4_34 ),
inference(superposition,[],[f604,f598]) ).
fof(f604,plain,
( sk_c7 = multiply(sk_c7,sk_c2)
| ~ spl4_18
| ~ spl4_34 ),
inference(backward_demodulation,[],[f560,f496]) ).
fof(f778,plain,
( ~ spl4_1
| spl4_2
| ~ spl4_24
| ~ spl4_29 ),
inference(avatar_contradiction_clause,[],[f777]) ).
fof(f777,plain,
( $false
| ~ spl4_1
| spl4_2
| ~ spl4_24
| ~ spl4_29 ),
inference(subsumption_resolution,[],[f776,f338]) ).
fof(f338,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl4_1
| ~ spl4_24
| ~ spl4_29 ),
inference(forward_demodulation,[],[f337,f211]) ).
fof(f337,plain,
( sk_c7 = multiply(sk_c6,sk_c7)
| ~ spl4_1
| ~ spl4_24 ),
inference(forward_demodulation,[],[f51,f184]) ).
fof(f184,plain,
( sk_c8 = sk_c7
| ~ spl4_24 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f776,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| spl4_2
| ~ spl4_24
| ~ spl4_29 ),
inference(forward_demodulation,[],[f775,f184]) ).
fof(f775,plain,
( sk_c7 != multiply(sk_c7,sk_c8)
| spl4_2
| ~ spl4_29 ),
inference(forward_demodulation,[],[f54,f211]) ).
fof(f54,plain,
( multiply(sk_c7,sk_c8) != sk_c6
| spl4_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f53,plain,
( spl4_2
<=> multiply(sk_c7,sk_c8) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f774,plain,
( ~ spl4_8
| ~ spl4_21
| ~ spl4_24
| ~ spl4_29
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f773]) ).
fof(f773,plain,
( $false
| ~ spl4_8
| ~ spl4_21
| ~ spl4_24
| ~ spl4_29
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f757,f631]) ).
fof(f631,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl4_8
| ~ spl4_24
| ~ spl4_34 ),
inference(backward_demodulation,[],[f439,f622]) ).
fof(f622,plain,
( sk_c1 = sk_c7
| ~ spl4_8
| ~ spl4_24
| ~ spl4_34 ),
inference(superposition,[],[f603,f598]) ).
fof(f603,plain,
( sk_c7 = multiply(sk_c7,sk_c1)
| ~ spl4_8
| ~ spl4_24
| ~ spl4_34 ),
inference(backward_demodulation,[],[f558,f496]) ).
fof(f558,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl4_8
| ~ spl4_24 ),
inference(superposition,[],[f2,f439]) ).
fof(f439,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl4_8
| ~ spl4_24 ),
inference(forward_demodulation,[],[f85,f184]) ).
fof(f85,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl4_8
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f757,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl4_21
| ~ spl4_29
| ~ spl4_34 ),
inference(trivial_inequality_removal,[],[f683]) ).
fof(f683,plain,
( sk_c7 != inverse(sk_c7)
| sk_c7 != sk_c7
| ~ spl4_21
| ~ spl4_29
| ~ spl4_34 ),
inference(superposition,[],[f678,f598]) ).
fof(f678,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c7)
| sk_c7 != inverse(X7) )
| ~ spl4_21
| ~ spl4_29 ),
inference(forward_demodulation,[],[f154,f211]) ).
fof(f154,plain,
( ! [X7] :
( sk_c7 != inverse(X7)
| sk_c7 != multiply(X7,sk_c6) )
| ~ spl4_21 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f153,plain,
( spl4_21
<=> ! [X7] :
( sk_c7 != multiply(X7,sk_c6)
| sk_c7 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).
fof(f754,plain,
( ~ spl4_8
| ~ spl4_19
| ~ spl4_24
| ~ spl4_29
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f753]) ).
fof(f753,plain,
( $false
| ~ spl4_8
| ~ spl4_19
| ~ spl4_24
| ~ spl4_29
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f670,f631]) ).
fof(f670,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl4_19
| ~ spl4_24
| ~ spl4_29
| ~ spl4_34 ),
inference(trivial_inequality_removal,[],[f664]) ).
fof(f664,plain,
( sk_c7 != inverse(sk_c7)
| sk_c7 != sk_c7
| ~ spl4_19
| ~ spl4_24
| ~ spl4_29
| ~ spl4_34 ),
inference(superposition,[],[f595,f598]) ).
fof(f595,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c7)
| sk_c7 != inverse(X5) )
| ~ spl4_19
| ~ spl4_24
| ~ spl4_29 ),
inference(forward_demodulation,[],[f594,f184]) ).
fof(f594,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c7)
| sk_c7 != inverse(X5) )
| ~ spl4_19
| ~ spl4_29 ),
inference(forward_demodulation,[],[f593,f211]) ).
fof(f593,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5) )
| ~ spl4_19
| ~ spl4_29 ),
inference(forward_demodulation,[],[f142,f211]) ).
fof(f142,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) )
| ~ spl4_19 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl4_19
<=> ! [X5] :
( sk_c8 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).
fof(f728,plain,
( ~ spl4_8
| ~ spl4_24
| spl4_28
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f727]) ).
fof(f727,plain,
( $false
| ~ spl4_8
| ~ spl4_24
| spl4_28
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f601,f631]) ).
fof(f601,plain,
( sk_c7 != inverse(sk_c7)
| spl4_28
| ~ spl4_34 ),
inference(backward_demodulation,[],[f208,f496]) ).
fof(f208,plain,
( sk_c7 != inverse(identity)
| spl4_28 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f696,plain,
( ~ spl4_1
| ~ spl4_7
| ~ spl4_21
| ~ spl4_24
| ~ spl4_29
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f695]) ).
fof(f695,plain,
( $false
| ~ spl4_1
| ~ spl4_7
| ~ spl4_21
| ~ spl4_24
| ~ spl4_29
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f687,f608]) ).
fof(f608,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl4_1
| ~ spl4_7
| ~ spl4_24
| ~ spl4_29
| ~ spl4_34 ),
inference(backward_demodulation,[],[f80,f606]) ).
fof(f606,plain,
( sk_c7 = sk_c5
| ~ spl4_1
| ~ spl4_7
| ~ spl4_24
| ~ spl4_29
| ~ spl4_34 ),
inference(forward_demodulation,[],[f602,f540]) ).
fof(f540,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl4_1
| ~ spl4_24
| ~ spl4_29 ),
inference(superposition,[],[f238,f338]) ).
fof(f602,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c7)
| ~ spl4_7
| ~ spl4_34 ),
inference(backward_demodulation,[],[f261,f496]) ).
fof(f261,plain,
( sk_c5 = multiply(inverse(sk_c7),identity)
| ~ spl4_7 ),
inference(superposition,[],[f238,f168]) ).
fof(f168,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl4_7 ),
inference(superposition,[],[f2,f80]) ).
fof(f80,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl4_7
<=> sk_c7 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f687,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl4_21
| ~ spl4_29
| ~ spl4_34 ),
inference(trivial_inequality_removal,[],[f683]) ).
fof(f677,plain,
( ~ spl4_1
| ~ spl4_7
| ~ spl4_19
| ~ spl4_24
| ~ spl4_29
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f676]) ).
fof(f676,plain,
( $false
| ~ spl4_1
| ~ spl4_7
| ~ spl4_19
| ~ spl4_24
| ~ spl4_29
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f675,f608]) ).
fof(f675,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl4_1
| ~ spl4_7
| ~ spl4_19
| ~ spl4_24
| ~ spl4_29
| ~ spl4_34 ),
inference(forward_demodulation,[],[f667,f608]) ).
fof(f667,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl4_19
| ~ spl4_24
| ~ spl4_29
| ~ spl4_34 ),
inference(trivial_inequality_removal,[],[f661]) ).
fof(f661,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(inverse(sk_c7))
| ~ spl4_19
| ~ spl4_24
| ~ spl4_29
| ~ spl4_34 ),
inference(superposition,[],[f595,f599]) ).
fof(f599,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c7
| ~ spl4_34 ),
inference(backward_demodulation,[],[f2,f496]) ).
fof(f613,plain,
( ~ spl4_1
| ~ spl4_7
| ~ spl4_24
| spl4_28
| ~ spl4_29
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f612]) ).
fof(f612,plain,
( $false
| ~ spl4_1
| ~ spl4_7
| ~ spl4_24
| spl4_28
| ~ spl4_29
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f601,f608]) ).
fof(f597,plain,
( spl4_34
| ~ spl4_1
| ~ spl4_24
| ~ spl4_29 ),
inference(avatar_split_clause,[],[f582,f210,f183,f49,f495]) ).
fof(f582,plain,
( identity = sk_c7
| ~ spl4_1
| ~ spl4_24
| ~ spl4_29 ),
inference(superposition,[],[f2,f540]) ).
fof(f528,plain,
( spl4_29
| ~ spl4_1
| ~ spl4_5
| ~ spl4_6
| ~ spl4_24 ),
inference(avatar_split_clause,[],[f521,f183,f74,f68,f49,f210]) ).
fof(f521,plain,
( sk_c7 = sk_c6
| ~ spl4_1
| ~ spl4_5
| ~ spl4_6
| ~ spl4_24 ),
inference(forward_demodulation,[],[f520,f337]) ).
fof(f520,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl4_5
| ~ spl4_6
| ~ spl4_24 ),
inference(forward_demodulation,[],[f518,f70]) ).
fof(f518,plain,
( sk_c6 = multiply(inverse(sk_c3),sk_c7)
| ~ spl4_6
| ~ spl4_24 ),
inference(superposition,[],[f238,f467]) ).
fof(f467,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl4_6
| ~ spl4_24 ),
inference(forward_demodulation,[],[f76,f184]) ).
fof(f511,plain,
( ~ spl4_28
| ~ spl4_10
| ~ spl4_24 ),
inference(avatar_split_clause,[],[f510,f183,f94,f206]) ).
fof(f94,plain,
( spl4_10
<=> ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f510,plain,
( sk_c7 != inverse(identity)
| ~ spl4_10
| ~ spl4_24 ),
inference(forward_demodulation,[],[f502,f184]) ).
fof(f502,plain,
( sk_c8 != inverse(identity)
| ~ spl4_10
| ~ spl4_24 ),
inference(subsumption_resolution,[],[f169,f184]) ).
fof(f169,plain,
( sk_c8 != inverse(identity)
| sk_c8 != sk_c7
| ~ spl4_10 ),
inference(superposition,[],[f95,f1]) ).
fof(f95,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6) )
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f487,plain,
( ~ spl4_8
| ~ spl4_14
| ~ spl4_17
| ~ spl4_24 ),
inference(avatar_contradiction_clause,[],[f486]) ).
fof(f486,plain,
( $false
| ~ spl4_8
| ~ spl4_14
| ~ spl4_17
| ~ spl4_24 ),
inference(subsumption_resolution,[],[f485,f439]) ).
fof(f485,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl4_14
| ~ spl4_17
| ~ spl4_24 ),
inference(trivial_inequality_removal,[],[f482]) ).
fof(f482,plain,
( sk_c7 != inverse(sk_c1)
| sk_c7 != sk_c7
| ~ spl4_14
| ~ spl4_17
| ~ spl4_24 ),
inference(superposition,[],[f340,f438]) ).
fof(f438,plain,
( sk_c7 = multiply(sk_c1,sk_c7)
| ~ spl4_14
| ~ spl4_24 ),
inference(forward_demodulation,[],[f113,f184]) ).
fof(f113,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| ~ spl4_14 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl4_14
<=> multiply(sk_c1,sk_c8) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
fof(f340,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl4_17
| ~ spl4_24 ),
inference(forward_demodulation,[],[f339,f184]) ).
fof(f339,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
| ~ spl4_17
| ~ spl4_24 ),
inference(forward_demodulation,[],[f126,f184]) ).
fof(f126,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
| ~ spl4_17 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl4_17
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
fof(f464,plain,
( ~ spl4_7
| ~ spl4_15
| ~ spl4_17
| ~ spl4_24
| ~ spl4_29 ),
inference(avatar_contradiction_clause,[],[f463]) ).
fof(f463,plain,
( $false
| ~ spl4_7
| ~ spl4_15
| ~ spl4_17
| ~ spl4_24
| ~ spl4_29 ),
inference(subsumption_resolution,[],[f462,f80]) ).
fof(f462,plain,
( sk_c7 != inverse(sk_c5)
| ~ spl4_15
| ~ spl4_17
| ~ spl4_24
| ~ spl4_29 ),
inference(trivial_inequality_removal,[],[f459]) ).
fof(f459,plain,
( sk_c7 != inverse(sk_c5)
| sk_c7 != sk_c7
| ~ spl4_15
| ~ spl4_17
| ~ spl4_24
| ~ spl4_29 ),
inference(superposition,[],[f340,f332]) ).
fof(f332,plain,
( sk_c7 = multiply(sk_c5,sk_c7)
| ~ spl4_15
| ~ spl4_29 ),
inference(backward_demodulation,[],[f117,f211]) ).
fof(f117,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl4_15 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f115,plain,
( spl4_15
<=> sk_c7 = multiply(sk_c5,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
fof(f336,plain,
( spl4_1
| ~ spl4_9
| ~ spl4_24
| ~ spl4_26
| ~ spl4_29 ),
inference(avatar_contradiction_clause,[],[f335]) ).
fof(f335,plain,
( $false
| spl4_1
| ~ spl4_9
| ~ spl4_24
| ~ spl4_26
| ~ spl4_29 ),
inference(subsumption_resolution,[],[f334,f310]) ).
fof(f310,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl4_9
| ~ spl4_24
| ~ spl4_26 ),
inference(forward_demodulation,[],[f308,f198]) ).
fof(f198,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl4_26 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f197,plain,
( spl4_26
<=> sk_c7 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_26])]) ).
fof(f308,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c7)
| ~ spl4_9
| ~ spl4_24 ),
inference(superposition,[],[f238,f297]) ).
fof(f297,plain,
( sk_c7 = multiply(sk_c4,sk_c7)
| ~ spl4_9
| ~ spl4_24 ),
inference(backward_demodulation,[],[f91,f184]) ).
fof(f91,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl4_9
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f334,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| spl4_1
| ~ spl4_24
| ~ spl4_29 ),
inference(forward_demodulation,[],[f331,f211]) ).
fof(f331,plain,
( sk_c7 != multiply(sk_c6,sk_c7)
| spl4_1
| ~ spl4_24 ),
inference(forward_demodulation,[],[f50,f184]) ).
fof(f50,plain,
( sk_c7 != multiply(sk_c6,sk_c8)
| spl4_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f328,plain,
( spl4_29
| ~ spl4_7
| ~ spl4_9
| ~ spl4_15
| ~ spl4_24
| ~ spl4_26 ),
inference(avatar_split_clause,[],[f314,f197,f183,f115,f89,f78,f210]) ).
fof(f314,plain,
( sk_c7 = sk_c6
| ~ spl4_7
| ~ spl4_9
| ~ spl4_15
| ~ spl4_24
| ~ spl4_26 ),
inference(backward_demodulation,[],[f239,f310]) ).
fof(f239,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl4_7
| ~ spl4_15 ),
inference(superposition,[],[f236,f117]) ).
fof(f236,plain,
( ! [X10] : multiply(sk_c7,multiply(sk_c5,X10)) = X10
| ~ spl4_7 ),
inference(forward_demodulation,[],[f230,f1]) ).
fof(f230,plain,
( ! [X10] : multiply(sk_c7,multiply(sk_c5,X10)) = multiply(identity,X10)
| ~ spl4_7 ),
inference(superposition,[],[f3,f168]) ).
fof(f304,plain,
( spl4_26
| ~ spl4_4
| ~ spl4_24 ),
inference(avatar_split_clause,[],[f296,f183,f63,f197]) ).
fof(f63,plain,
( spl4_4
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f296,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl4_4
| ~ spl4_24 ),
inference(backward_demodulation,[],[f65,f184]) ).
fof(f65,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f294,plain,
( spl4_24
| ~ spl4_2
| ~ spl4_7
| ~ spl4_15 ),
inference(avatar_split_clause,[],[f289,f115,f78,f53,f183]) ).
fof(f289,plain,
( sk_c8 = sk_c7
| ~ spl4_2
| ~ spl4_7
| ~ spl4_15 ),
inference(backward_demodulation,[],[f259,f260]) ).
fof(f260,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl4_7
| ~ spl4_15 ),
inference(superposition,[],[f238,f239]) ).
fof(f259,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c6)
| ~ spl4_2 ),
inference(superposition,[],[f238,f55]) ).
fof(f55,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f164,plain,
( spl4_7
| spl4_3 ),
inference(avatar_split_clause,[],[f17,f58,f78]) ).
fof(f17,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f163,plain,
( spl4_15
| spl4_5 ),
inference(avatar_split_clause,[],[f38,f68,f115]) ).
fof(f38,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f162,plain,
( spl4_4
| spl4_5 ),
inference(avatar_split_clause,[],[f35,f68,f63]) ).
fof(f35,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f161,plain,
( spl4_15
| spl4_18 ),
inference(avatar_split_clause,[],[f23,f132,f115]) ).
fof(f23,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f160,plain,
( spl4_5
| spl4_7 ),
inference(avatar_split_clause,[],[f37,f78,f68]) ).
fof(f37,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f159,plain,
( spl4_8
| spl4_15 ),
inference(avatar_split_clause,[],[f13,f115,f83]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f158,plain,
( spl4_6
| spl4_15 ),
inference(avatar_split_clause,[],[f33,f115,f74]) ).
fof(f33,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c8 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f156,plain,
( spl4_1
| spl4_9 ),
inference(avatar_split_clause,[],[f26,f89,f49]) ).
fof(f26,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f155,plain,
( spl4_21
| spl4_20 ),
inference(avatar_split_clause,[],[f44,f144,f153]) ).
fof(f144,plain,
( spl4_20
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).
fof(f44,plain,
! [X7] :
( sP2
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != inverse(X7) ),
inference(cnf_transformation,[],[f44_D]) ).
fof(f44_D,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c6)
| sk_c7 != inverse(X7) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f149,plain,
( spl4_4
| spl4_6 ),
inference(avatar_split_clause,[],[f30,f74,f63]) ).
fof(f30,axiom,
( sk_c8 = multiply(sk_c3,sk_c6)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f148,plain,
( spl4_7
| spl4_14 ),
inference(avatar_split_clause,[],[f7,f111,f78]) ).
fof(f7,axiom,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f147,plain,
( ~ spl4_11
| spl4_19
| ~ spl4_1
| ~ spl4_2
| ~ spl4_16
| ~ spl4_20
| ~ spl4_13 ),
inference(avatar_split_clause,[],[f47,f106,f144,f121,f53,f49,f141,f97]) ).
fof(f97,plain,
( spl4_11
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f121,plain,
( spl4_16
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).
fof(f106,plain,
( spl4_13
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).
fof(f47,plain,
! [X5] :
( ~ sP3
| ~ sP2
| ~ sP0
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c8 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5)
| ~ sP1 ),
inference(general_splitting,[],[f45,f46_D]) ).
fof(f46,plain,
! [X4] :
( sP3
| sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) ),
inference(cnf_transformation,[],[f46_D]) ).
fof(f46_D,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
<=> ~ sP3 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f45,plain,
! [X4,X5] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4)
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c8 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5)
| multiply(sk_c7,sk_c8) != sk_c6
| ~ sP0
| ~ sP1
| ~ sP2 ),
inference(general_splitting,[],[f43,f44_D]) ).
fof(f43,plain,
! [X7,X4,X5] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != inverse(X4)
| sk_c7 != inverse(X7)
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c8 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5)
| multiply(sk_c7,sk_c8) != sk_c6
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f41,f42_D]) ).
fof(f42,plain,
! [X6] :
( sP1
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6) ),
inference(cnf_transformation,[],[f42_D]) ).
fof(f42_D,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f41,plain,
! [X6,X7,X4,X5] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7)
| sk_c7 != inverse(X7)
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c8 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5)
| multiply(sk_c7,sk_c8) != sk_c6
| ~ sP0 ),
inference(general_splitting,[],[f39,f40_D]) ).
fof(f40,plain,
! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| sP0 ),
inference(cnf_transformation,[],[f40_D]) ).
fof(f40_D,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f39,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != inverse(X4)
| sk_c8 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != inverse(X7)
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c8 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c8 != inverse(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f139,plain,
( spl4_7
| spl4_8 ),
inference(avatar_split_clause,[],[f12,f83,f78]) ).
fof(f12,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f138,plain,
( spl4_3
| spl4_15 ),
inference(avatar_split_clause,[],[f18,f115,f58]) ).
fof(f18,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f137,plain,
( spl4_18
| spl4_2 ),
inference(avatar_split_clause,[],[f19,f53,f132]) ).
fof(f19,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f136,plain,
( spl4_5
| spl4_9 ),
inference(avatar_split_clause,[],[f36,f89,f68]) ).
fof(f36,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f135,plain,
( spl4_18
| spl4_7 ),
inference(avatar_split_clause,[],[f22,f78,f132]) ).
fof(f22,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f128,plain,
( spl4_7
| spl4_1 ),
inference(avatar_split_clause,[],[f27,f49,f78]) ).
fof(f27,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f127,plain,
( spl4_16
| spl4_17 ),
inference(avatar_split_clause,[],[f40,f125,f121]) ).
fof(f119,plain,
( spl4_1
| spl4_15 ),
inference(avatar_split_clause,[],[f28,f115,f49]) ).
fof(f28,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c7 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f118,plain,
( spl4_14
| spl4_15 ),
inference(avatar_split_clause,[],[f8,f115,f111]) ).
fof(f8,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f109,plain,
( spl4_12
| spl4_13 ),
inference(avatar_split_clause,[],[f46,f106,f103]) ).
fof(f100,plain,
( spl4_10
| spl4_11 ),
inference(avatar_split_clause,[],[f42,f97,f94]) ).
fof(f92,plain,
( spl4_6
| spl4_9 ),
inference(avatar_split_clause,[],[f31,f89,f74]) ).
fof(f31,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f87,plain,
( spl4_2
| spl4_6 ),
inference(avatar_split_clause,[],[f29,f74,f53]) ).
fof(f29,axiom,
( sk_c8 = multiply(sk_c3,sk_c6)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f81,plain,
( spl4_6
| spl4_7 ),
inference(avatar_split_clause,[],[f32,f78,f74]) ).
fof(f32,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c8 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f71,plain,
( spl4_2
| spl4_5 ),
inference(avatar_split_clause,[],[f34,f68,f53]) ).
fof(f34,axiom,
( sk_c6 = inverse(sk_c3)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( spl4_1
| spl4_4 ),
inference(avatar_split_clause,[],[f25,f63,f49]) ).
fof(f25,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f61,plain,
( spl4_3
| spl4_2 ),
inference(avatar_split_clause,[],[f14,f53,f58]) ).
fof(f14,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f56,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f24,f53,f49]) ).
fof(f24,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP259-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:44:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (28788)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50 % (28788)First to succeed.
% 0.20/0.50 % (28777)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (28788)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (28788)------------------------------
% 0.20/0.50 % (28788)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (28788)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (28788)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (28788)Memory used [KB]: 5884
% 0.20/0.50 % (28788)Time elapsed: 0.101 s
% 0.20/0.50 % (28788)Instructions burned: 26 (million)
% 0.20/0.50 % (28788)------------------------------
% 0.20/0.50 % (28788)------------------------------
% 0.20/0.50 % (28768)Success in time 0.149 s
%------------------------------------------------------------------------------