TSTP Solution File: GRP221-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP221-1 : 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 : n004.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 16:20:56 EDT 2022
% Result : Unsatisfiable 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 62
% Syntax : Number of formulae : 221 ( 6 unt; 0 def)
% Number of atoms : 771 ( 277 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 1053 ( 503 ~; 523 |; 0 &)
% ( 27 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 28 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 70 ( 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f751,plain,
$false,
inference(avatar_sat_refutation,[],[f72,f81,f86,f87,f117,f118,f138,f143,f144,f145,f146,f156,f158,f160,f161,f162,f163,f165,f170,f174,f175,f177,f178,f180,f182,f184,f185,f186,f190,f191,f192,f193,f194,f195,f196,f197,f224,f257,f328,f426,f483,f503,f586,f646,f678,f687,f689,f732,f738,f746]) ).
fof(f746,plain,
( ~ spl4_7
| ~ spl4_9
| ~ spl4_21 ),
inference(avatar_split_clause,[],[f204,f188,f103,f94]) ).
fof(f94,plain,
( spl4_7
<=> sk_c10 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f103,plain,
( spl4_9
<=> sk_c10 = multiply(sk_c6,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f188,plain,
( spl4_21
<=> ! [X3] :
( sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).
fof(f204,plain,
( sk_c10 != inverse(sk_c6)
| ~ spl4_9
| ~ spl4_21 ),
inference(trivial_inequality_removal,[],[f203]) ).
fof(f203,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c6)
| ~ spl4_9
| ~ spl4_21 ),
inference(superposition,[],[f189,f105]) ).
fof(f105,plain,
( sk_c10 = multiply(sk_c6,sk_c9)
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f189,plain,
( ! [X3] :
( sk_c10 != multiply(X3,sk_c9)
| sk_c10 != inverse(X3) )
| ~ spl4_21 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f738,plain,
( ~ spl4_6
| ~ spl4_23
| spl4_24 ),
inference(avatar_contradiction_clause,[],[f737]) ).
fof(f737,plain,
( $false
| ~ spl4_6
| ~ spl4_23
| spl4_24 ),
inference(subsumption_resolution,[],[f736,f331]) ).
fof(f331,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl4_6
| ~ spl4_23 ),
inference(forward_demodulation,[],[f91,f211]) ).
fof(f211,plain,
( sk_c10 = sk_c9
| ~ spl4_23 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f210,plain,
( spl4_23
<=> sk_c10 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).
fof(f91,plain,
( inverse(sk_c10) = sk_c9
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl4_6
<=> inverse(sk_c10) = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f736,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl4_6
| ~ spl4_23
| spl4_24 ),
inference(forward_demodulation,[],[f735,f331]) ).
fof(f735,plain,
( sk_c10 != inverse(inverse(sk_c10))
| ~ spl4_23
| spl4_24 ),
inference(forward_demodulation,[],[f219,f211]) ).
fof(f219,plain,
( sk_c10 != inverse(inverse(sk_c9))
| spl4_24 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f217,plain,
( spl4_24
<=> sk_c10 = inverse(inverse(sk_c9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_24])]) ).
fof(f732,plain,
( spl4_25
| ~ spl4_2
| ~ spl4_11
| ~ spl4_19
| ~ spl4_23 ),
inference(avatar_split_clause,[],[f310,f210,f153,f114,f69,f221]) ).
fof(f221,plain,
( spl4_25
<=> identity = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_25])]) ).
fof(f69,plain,
( spl4_2
<=> sk_c3 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f114,plain,
( spl4_11
<=> sk_c9 = multiply(sk_c2,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f153,plain,
( spl4_19
<=> sk_c9 = multiply(sk_c3,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).
fof(f310,plain,
( identity = sk_c10
| ~ spl4_2
| ~ spl4_11
| ~ spl4_19
| ~ spl4_23 ),
inference(superposition,[],[f296,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f296,plain,
( sk_c10 = multiply(inverse(sk_c10),sk_c10)
| ~ spl4_2
| ~ spl4_11
| ~ spl4_19
| ~ spl4_23 ),
inference(superposition,[],[f240,f270]) ).
fof(f270,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl4_2
| ~ spl4_11
| ~ spl4_19
| ~ spl4_23 ),
inference(backward_demodulation,[],[f261,f269]) ).
fof(f269,plain,
( sk_c10 = sk_c3
| ~ spl4_2
| ~ spl4_11
| ~ spl4_19
| ~ spl4_23 ),
inference(forward_demodulation,[],[f262,f261]) ).
fof(f262,plain,
( sk_c3 = multiply(sk_c3,sk_c10)
| ~ spl4_2
| ~ spl4_11
| ~ spl4_23 ),
inference(backward_demodulation,[],[f244,f211]) ).
fof(f244,plain,
( sk_c3 = multiply(sk_c3,sk_c9)
| ~ spl4_2
| ~ spl4_11 ),
inference(superposition,[],[f239,f116]) ).
fof(f116,plain,
( sk_c9 = multiply(sk_c2,sk_c3)
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f239,plain,
( ! [X14] : multiply(sk_c3,multiply(sk_c2,X14)) = X14
| ~ spl4_2 ),
inference(forward_demodulation,[],[f237,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f237,plain,
( ! [X14] : multiply(identity,X14) = multiply(sk_c3,multiply(sk_c2,X14))
| ~ spl4_2 ),
inference(superposition,[],[f3,f225]) ).
fof(f225,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl4_2 ),
inference(superposition,[],[f2,f71]) ).
fof(f71,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f69]) ).
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(f261,plain,
( sk_c10 = multiply(sk_c3,sk_c10)
| ~ spl4_19
| ~ spl4_23 ),
inference(backward_demodulation,[],[f155,f211]) ).
fof(f155,plain,
( sk_c9 = multiply(sk_c3,sk_c10)
| ~ spl4_19 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f240,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f230,f1]) ).
fof(f230,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f689,plain,
( ~ spl4_6
| ~ spl4_16
| ~ spl4_23
| ~ spl4_25 ),
inference(avatar_contradiction_clause,[],[f688]) ).
fof(f688,plain,
( $false
| ~ spl4_6
| ~ spl4_16
| ~ spl4_23
| ~ spl4_25 ),
inference(subsumption_resolution,[],[f417,f331]) ).
fof(f417,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl4_16
| ~ spl4_23
| ~ spl4_25 ),
inference(subsumption_resolution,[],[f413,f321]) ).
fof(f321,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c10
| ~ spl4_25 ),
inference(backward_demodulation,[],[f2,f222]) ).
fof(f222,plain,
( identity = sk_c10
| ~ spl4_25 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f413,plain,
( sk_c10 != multiply(inverse(sk_c10),sk_c10)
| sk_c10 != inverse(sk_c10)
| ~ spl4_16
| ~ spl4_23
| ~ spl4_25 ),
inference(superposition,[],[f333,f322]) ).
fof(f322,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl4_25 ),
inference(backward_demodulation,[],[f1,f222]) ).
fof(f333,plain,
( ! [X4] :
( sk_c10 != multiply(inverse(X4),sk_c10)
| sk_c10 != multiply(X4,inverse(X4)) )
| ~ spl4_16
| ~ spl4_23 ),
inference(forward_demodulation,[],[f332,f211]) ).
fof(f332,plain,
( ! [X4] :
( sk_c10 != multiply(X4,inverse(X4))
| sk_c9 != multiply(inverse(X4),sk_c10) )
| ~ spl4_16
| ~ spl4_23 ),
inference(forward_demodulation,[],[f137,f211]) ).
fof(f137,plain,
( ! [X4] :
( sk_c9 != multiply(inverse(X4),sk_c10)
| sk_c9 != multiply(X4,inverse(X4)) )
| ~ spl4_16 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl4_16
<=> ! [X4] :
( sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(inverse(X4),sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).
fof(f687,plain,
( ~ spl4_1
| ~ spl4_4
| ~ spl4_6
| ~ spl4_7
| ~ spl4_9
| ~ spl4_16
| ~ spl4_17
| ~ spl4_23
| ~ spl4_25 ),
inference(avatar_contradiction_clause,[],[f686]) ).
fof(f686,plain,
( $false
| ~ spl4_1
| ~ spl4_4
| ~ spl4_6
| ~ spl4_7
| ~ spl4_9
| ~ spl4_16
| ~ spl4_17
| ~ spl4_23
| ~ spl4_25 ),
inference(subsumption_resolution,[],[f685,f640]) ).
fof(f640,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl4_1
| ~ spl4_4
| ~ spl4_6
| ~ spl4_7
| ~ spl4_9
| ~ spl4_17
| ~ spl4_23 ),
inference(backward_demodulation,[],[f489,f637]) ).
fof(f637,plain,
( sk_c10 = sk_c6
| ~ spl4_1
| ~ spl4_4
| ~ spl4_6
| ~ spl4_7
| ~ spl4_17
| ~ spl4_23 ),
inference(forward_demodulation,[],[f636,f549]) ).
fof(f549,plain,
( sk_c10 = multiply(sk_c10,sk_c8)
| ~ spl4_4
| ~ spl4_17 ),
inference(forward_demodulation,[],[f547,f142]) ).
fof(f142,plain,
( sk_c10 = inverse(sk_c7)
| ~ spl4_17 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f140,plain,
( spl4_17
<=> sk_c10 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
fof(f547,plain,
( sk_c10 = multiply(inverse(sk_c7),sk_c8)
| ~ spl4_4 ),
inference(superposition,[],[f240,f80]) ).
fof(f80,plain,
( sk_c8 = multiply(sk_c7,sk_c10)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl4_4
<=> sk_c8 = multiply(sk_c7,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f636,plain,
( sk_c6 = multiply(sk_c10,sk_c8)
| ~ spl4_1
| ~ spl4_6
| ~ spl4_7
| ~ spl4_23 ),
inference(forward_demodulation,[],[f634,f331]) ).
fof(f634,plain,
( sk_c6 = multiply(inverse(sk_c10),sk_c8)
| ~ spl4_1
| ~ spl4_6
| ~ spl4_7
| ~ spl4_23 ),
inference(superposition,[],[f240,f618]) ).
fof(f618,plain,
( sk_c8 = multiply(sk_c10,sk_c6)
| ~ spl4_1
| ~ spl4_6
| ~ spl4_7
| ~ spl4_23 ),
inference(backward_demodulation,[],[f199,f612]) ).
fof(f612,plain,
( identity = sk_c8
| ~ spl4_1
| ~ spl4_6
| ~ spl4_23 ),
inference(backward_demodulation,[],[f329,f593]) ).
fof(f593,plain,
( sk_c8 = multiply(sk_c10,sk_c10)
| ~ spl4_1
| ~ spl4_6
| ~ spl4_23 ),
inference(backward_demodulation,[],[f546,f211]) ).
fof(f546,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl4_1
| ~ spl4_6 ),
inference(forward_demodulation,[],[f544,f91]) ).
fof(f544,plain,
( sk_c8 = multiply(inverse(sk_c10),sk_c9)
| ~ spl4_1 ),
inference(superposition,[],[f240,f67]) ).
fof(f67,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl4_1
<=> sk_c9 = multiply(sk_c10,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f329,plain,
( identity = multiply(sk_c10,sk_c10)
| ~ spl4_6
| ~ spl4_23 ),
inference(forward_demodulation,[],[f198,f211]) ).
fof(f198,plain,
( identity = multiply(sk_c9,sk_c10)
| ~ spl4_6 ),
inference(superposition,[],[f2,f91]) ).
fof(f199,plain,
( identity = multiply(sk_c10,sk_c6)
| ~ spl4_7 ),
inference(superposition,[],[f2,f96]) ).
fof(f96,plain,
( sk_c10 = inverse(sk_c6)
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f489,plain,
( sk_c10 = multiply(sk_c6,sk_c10)
| ~ spl4_9
| ~ spl4_23 ),
inference(forward_demodulation,[],[f105,f211]) ).
fof(f685,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl4_6
| ~ spl4_16
| ~ spl4_23
| ~ spl4_25 ),
inference(forward_demodulation,[],[f414,f331]) ).
fof(f414,plain,
( sk_c10 != multiply(sk_c10,inverse(sk_c10))
| ~ spl4_16
| ~ spl4_23
| ~ spl4_25 ),
inference(trivial_inequality_removal,[],[f409]) ).
fof(f409,plain,
( sk_c10 != multiply(sk_c10,inverse(sk_c10))
| sk_c10 != sk_c10
| ~ spl4_16
| ~ spl4_23
| ~ spl4_25 ),
inference(superposition,[],[f333,f321]) ).
fof(f678,plain,
( ~ spl4_1
| ~ spl4_4
| ~ spl4_6
| ~ spl4_7
| ~ spl4_9
| ~ spl4_17
| ~ spl4_20
| ~ spl4_23
| ~ spl4_25 ),
inference(avatar_contradiction_clause,[],[f677]) ).
fof(f677,plain,
( $false
| ~ spl4_1
| ~ spl4_4
| ~ spl4_6
| ~ spl4_7
| ~ spl4_9
| ~ spl4_17
| ~ spl4_20
| ~ spl4_23
| ~ spl4_25 ),
inference(subsumption_resolution,[],[f676,f331]) ).
fof(f676,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl4_1
| ~ spl4_4
| ~ spl4_6
| ~ spl4_7
| ~ spl4_9
| ~ spl4_17
| ~ spl4_20
| ~ spl4_23
| ~ spl4_25 ),
inference(forward_demodulation,[],[f675,f331]) ).
fof(f675,plain,
( sk_c10 != inverse(inverse(sk_c10))
| ~ spl4_1
| ~ spl4_4
| ~ spl4_6
| ~ spl4_7
| ~ spl4_9
| ~ spl4_17
| ~ spl4_20
| ~ spl4_23
| ~ spl4_25 ),
inference(forward_demodulation,[],[f674,f331]) ).
fof(f674,plain,
( sk_c10 != inverse(inverse(inverse(sk_c10)))
| ~ spl4_1
| ~ spl4_4
| ~ spl4_6
| ~ spl4_7
| ~ spl4_9
| ~ spl4_17
| ~ spl4_20
| ~ spl4_23
| ~ spl4_25 ),
inference(forward_demodulation,[],[f673,f331]) ).
fof(f673,plain,
( sk_c10 != inverse(inverse(inverse(inverse(sk_c10))))
| ~ spl4_1
| ~ spl4_4
| ~ spl4_6
| ~ spl4_7
| ~ spl4_9
| ~ spl4_17
| ~ spl4_20
| ~ spl4_23
| ~ spl4_25 ),
inference(subsumption_resolution,[],[f463,f640]) ).
fof(f463,plain,
( sk_c10 != inverse(inverse(inverse(inverse(sk_c10))))
| sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl4_20
| ~ spl4_23
| ~ spl4_25 ),
inference(superposition,[],[f427,f396]) ).
fof(f396,plain,
( ! [X0] : sk_c10 = multiply(inverse(inverse(inverse(X0))),X0)
| ~ spl4_25 ),
inference(superposition,[],[f240,f383]) ).
fof(f383,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c10) = X0
| ~ spl4_25 ),
inference(superposition,[],[f240,f321]) ).
fof(f427,plain,
( ! [X10] :
( sk_c10 != multiply(sk_c10,multiply(X10,sk_c10))
| sk_c10 != inverse(X10) )
| ~ spl4_20
| ~ spl4_23 ),
inference(forward_demodulation,[],[f169,f211]) ).
fof(f169,plain,
( ! [X10] :
( sk_c10 != inverse(X10)
| sk_c9 != multiply(sk_c10,multiply(X10,sk_c10)) )
| ~ spl4_20 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f168,plain,
( spl4_20
<=> ! [X10] :
( sk_c10 != inverse(X10)
| sk_c9 != multiply(sk_c10,multiply(X10,sk_c10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).
fof(f646,plain,
( ~ spl4_1
| ~ spl4_4
| ~ spl4_6
| ~ spl4_7
| ~ spl4_9
| ~ spl4_17
| ~ spl4_23
| spl4_25 ),
inference(avatar_contradiction_clause,[],[f645]) ).
fof(f645,plain,
( $false
| ~ spl4_1
| ~ spl4_4
| ~ spl4_6
| ~ spl4_7
| ~ spl4_9
| ~ spl4_17
| ~ spl4_23
| spl4_25 ),
inference(subsumption_resolution,[],[f642,f620]) ).
fof(f620,plain,
( sk_c10 != sk_c8
| ~ spl4_1
| ~ spl4_6
| ~ spl4_23
| spl4_25 ),
inference(superposition,[],[f223,f612]) ).
fof(f223,plain,
( identity != sk_c10
| spl4_25 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f642,plain,
( sk_c10 = sk_c8
| ~ spl4_1
| ~ spl4_4
| ~ spl4_6
| ~ spl4_7
| ~ spl4_9
| ~ spl4_17
| ~ spl4_23 ),
inference(backward_demodulation,[],[f593,f640]) ).
fof(f586,plain,
( spl4_23
| ~ spl4_1
| ~ spl4_4
| ~ spl4_17 ),
inference(avatar_split_clause,[],[f580,f140,f78,f65,f210]) ).
fof(f580,plain,
( sk_c10 = sk_c9
| ~ spl4_1
| ~ spl4_4
| ~ spl4_17 ),
inference(backward_demodulation,[],[f67,f549]) ).
fof(f503,plain,
( ~ spl4_2
| ~ spl4_6
| ~ spl4_11
| ~ spl4_19
| ~ spl4_20
| ~ spl4_23 ),
inference(avatar_contradiction_clause,[],[f502]) ).
fof(f502,plain,
( $false
| ~ spl4_2
| ~ spl4_6
| ~ spl4_11
| ~ spl4_19
| ~ spl4_20
| ~ spl4_23 ),
inference(subsumption_resolution,[],[f481,f331]) ).
fof(f481,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl4_2
| ~ spl4_11
| ~ spl4_19
| ~ spl4_20
| ~ spl4_23 ),
inference(subsumption_resolution,[],[f464,f270]) ).
fof(f464,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| sk_c10 != inverse(sk_c10)
| ~ spl4_2
| ~ spl4_11
| ~ spl4_19
| ~ spl4_20
| ~ spl4_23 ),
inference(superposition,[],[f427,f270]) ).
fof(f483,plain,
( ~ spl4_2
| ~ spl4_3
| ~ spl4_11
| ~ spl4_19
| ~ spl4_20
| ~ spl4_23
| ~ spl4_25 ),
inference(avatar_contradiction_clause,[],[f482]) ).
fof(f482,plain,
( $false
| ~ spl4_2
| ~ spl4_3
| ~ spl4_11
| ~ spl4_19
| ~ spl4_20
| ~ spl4_23
| ~ spl4_25 ),
inference(subsumption_resolution,[],[f481,f326]) ).
fof(f326,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_11
| ~ spl4_19
| ~ spl4_23
| ~ spl4_25 ),
inference(backward_demodulation,[],[f76,f323]) ).
fof(f323,plain,
( sk_c1 = sk_c10
| ~ spl4_2
| ~ spl4_3
| ~ spl4_11
| ~ spl4_19
| ~ spl4_23
| ~ spl4_25 ),
inference(forward_demodulation,[],[f317,f296]) ).
fof(f317,plain,
( sk_c1 = multiply(inverse(sk_c10),sk_c10)
| ~ spl4_3
| ~ spl4_25 ),
inference(backward_demodulation,[],[f295,f222]) ).
fof(f295,plain,
( sk_c1 = multiply(inverse(sk_c10),identity)
| ~ spl4_3 ),
inference(superposition,[],[f240,f226]) ).
fof(f226,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl4_3 ),
inference(superposition,[],[f2,f76]) ).
fof(f76,plain,
( inverse(sk_c1) = sk_c10
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f74,plain,
( spl4_3
<=> inverse(sk_c1) = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f426,plain,
( ~ spl4_2
| ~ spl4_3
| ~ spl4_11
| ~ spl4_16
| ~ spl4_19
| ~ spl4_23
| ~ spl4_25 ),
inference(avatar_contradiction_clause,[],[f425]) ).
fof(f425,plain,
( $false
| ~ spl4_2
| ~ spl4_3
| ~ spl4_11
| ~ spl4_16
| ~ spl4_19
| ~ spl4_23
| ~ spl4_25 ),
inference(subsumption_resolution,[],[f424,f270]) ).
fof(f424,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_11
| ~ spl4_16
| ~ spl4_19
| ~ spl4_23
| ~ spl4_25 ),
inference(forward_demodulation,[],[f414,f326]) ).
fof(f328,plain,
( ~ spl4_2
| ~ spl4_3
| spl4_6
| ~ spl4_11
| ~ spl4_19
| ~ spl4_23
| ~ spl4_25 ),
inference(avatar_contradiction_clause,[],[f327]) ).
fof(f327,plain,
( $false
| ~ spl4_2
| ~ spl4_3
| spl4_6
| ~ spl4_11
| ~ spl4_19
| ~ spl4_23
| ~ spl4_25 ),
inference(subsumption_resolution,[],[f326,f258]) ).
fof(f258,plain,
( sk_c10 != inverse(sk_c10)
| spl4_6
| ~ spl4_23 ),
inference(backward_demodulation,[],[f90,f211]) ).
fof(f90,plain,
( inverse(sk_c10) != sk_c9
| spl4_6 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f257,plain,
( spl4_23
| ~ spl4_5
| ~ spl4_8
| ~ spl4_10 ),
inference(avatar_split_clause,[],[f255,f108,f98,f83,f210]) ).
fof(f83,plain,
( spl4_5
<=> sk_c9 = multiply(sk_c10,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f98,plain,
( spl4_8
<=> sk_c5 = multiply(sk_c4,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f108,plain,
( spl4_10
<=> sk_c10 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f255,plain,
( sk_c10 = sk_c9
| ~ spl4_5
| ~ spl4_8
| ~ spl4_10 ),
inference(backward_demodulation,[],[f85,f252]) ).
fof(f252,plain,
( sk_c10 = multiply(sk_c10,sk_c5)
| ~ spl4_8
| ~ spl4_10 ),
inference(superposition,[],[f243,f100]) ).
fof(f100,plain,
( sk_c5 = multiply(sk_c4,sk_c10)
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f243,plain,
( ! [X11] : multiply(sk_c10,multiply(sk_c4,X11)) = X11
| ~ spl4_10 ),
inference(forward_demodulation,[],[f234,f1]) ).
fof(f234,plain,
( ! [X11] : multiply(sk_c10,multiply(sk_c4,X11)) = multiply(identity,X11)
| ~ spl4_10 ),
inference(superposition,[],[f3,f227]) ).
fof(f227,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl4_10 ),
inference(superposition,[],[f2,f110]) ).
fof(f110,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f85,plain,
( sk_c9 = multiply(sk_c10,sk_c5)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f224,plain,
( ~ spl4_24
| ~ spl4_25
| ~ spl4_21 ),
inference(avatar_split_clause,[],[f202,f188,f221,f217]) ).
fof(f202,plain,
( identity != sk_c10
| sk_c10 != inverse(inverse(sk_c9))
| ~ spl4_21 ),
inference(superposition,[],[f189,f2]) ).
fof(f197,plain,
( spl4_4
| spl4_19 ),
inference(avatar_split_clause,[],[f32,f153,f78]) ).
fof(f32,axiom,
( sk_c9 = multiply(sk_c3,sk_c10)
| sk_c8 = multiply(sk_c7,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f196,plain,
( spl4_20
| spl4_13 ),
inference(avatar_split_clause,[],[f62,f124,f168]) ).
fof(f124,plain,
( spl4_13
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).
fof(f62,plain,
! [X7] :
( sP3
| sk_c9 != multiply(sk_c10,multiply(X7,sk_c10))
| sk_c10 != inverse(X7) ),
inference(cnf_transformation,[],[f62_D]) ).
fof(f62_D,plain,
( ! [X7] :
( sk_c9 != multiply(sk_c10,multiply(X7,sk_c10))
| sk_c10 != inverse(X7) )
<=> ~ sP3 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f195,plain,
( spl4_1
| spl4_10 ),
inference(avatar_split_clause,[],[f49,f108,f65]) ).
fof(f49,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
fof(f194,plain,
( spl4_4
| spl4_2 ),
inference(avatar_split_clause,[],[f26,f69,f78]) ).
fof(f26,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c8 = multiply(sk_c7,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f193,plain,
( spl4_9
| spl4_11 ),
inference(avatar_split_clause,[],[f18,f114,f103]) ).
fof(f18,axiom,
( sk_c9 = multiply(sk_c2,sk_c3)
| sk_c10 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f192,plain,
( spl4_21
| spl4_12 ),
inference(avatar_split_clause,[],[f60,f120,f188]) ).
fof(f120,plain,
( spl4_12
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f60,plain,
! [X8] :
( sP2
| sk_c10 != inverse(X8)
| sk_c10 != multiply(X8,sk_c9) ),
inference(cnf_transformation,[],[f60_D]) ).
fof(f60_D,plain,
( ! [X8] :
( sk_c10 != inverse(X8)
| sk_c10 != multiply(X8,sk_c9) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f191,plain,
( spl4_11
| spl4_1 ),
inference(avatar_split_clause,[],[f19,f65,f114]) ).
fof(f19,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c9 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f190,plain,
( spl4_21
| spl4_14 ),
inference(avatar_split_clause,[],[f56,f128,f188]) ).
fof(f128,plain,
( spl4_14
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
fof(f56,plain,
! [X3] :
( sP0
| sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9) ),
inference(cnf_transformation,[],[f56_D]) ).
fof(f56_D,plain,
( ! [X3] :
( sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f186,plain,
( spl4_17
| spl4_8 ),
inference(avatar_split_clause,[],[f45,f98,f140]) ).
fof(f45,axiom,
( sk_c5 = multiply(sk_c4,sk_c10)
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f185,plain,
( spl4_2
| spl4_7 ),
inference(avatar_split_clause,[],[f23,f94,f69]) ).
fof(f23,axiom,
( sk_c10 = inverse(sk_c6)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f184,plain,
( spl4_1
| spl4_19 ),
inference(avatar_split_clause,[],[f31,f153,f65]) ).
fof(f31,axiom,
( sk_c9 = multiply(sk_c3,sk_c10)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f182,plain,
( spl4_9
| spl4_2 ),
inference(avatar_split_clause,[],[f24,f69,f103]) ).
fof(f24,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c10 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f180,plain,
( spl4_9
| spl4_19 ),
inference(avatar_split_clause,[],[f30,f153,f103]) ).
fof(f30,axiom,
( sk_c9 = multiply(sk_c3,sk_c10)
| sk_c10 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f178,plain,
( spl4_4
| spl4_11 ),
inference(avatar_split_clause,[],[f20,f114,f78]) ).
fof(f20,axiom,
( sk_c9 = multiply(sk_c2,sk_c3)
| sk_c8 = multiply(sk_c7,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f177,plain,
( spl4_6
| spl4_19 ),
inference(avatar_split_clause,[],[f28,f153,f89]) ).
fof(f28,axiom,
( sk_c9 = multiply(sk_c3,sk_c10)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f175,plain,
( spl4_1
| spl4_8 ),
inference(avatar_split_clause,[],[f43,f98,f65]) ).
fof(f43,axiom,
( sk_c5 = multiply(sk_c4,sk_c10)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f174,plain,
( spl4_2
| spl4_6 ),
inference(avatar_split_clause,[],[f22,f89,f69]) ).
fof(f22,axiom,
( inverse(sk_c10) = sk_c9
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f170,plain,
( spl4_20
| spl4_15 ),
inference(avatar_split_clause,[],[f58,f132,f168]) ).
fof(f132,plain,
( spl4_15
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
fof(f58,plain,
! [X10] :
( sP1
| sk_c10 != inverse(X10)
| sk_c9 != multiply(sk_c10,multiply(X10,sk_c10)) ),
inference(cnf_transformation,[],[f58_D]) ).
fof(f58_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(f165,plain,
( spl4_17
| spl4_19 ),
inference(avatar_split_clause,[],[f33,f153,f140]) ).
fof(f33,axiom,
( sk_c9 = multiply(sk_c3,sk_c10)
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f163,plain,
( spl4_3
| spl4_6 ),
inference(avatar_split_clause,[],[f4,f89,f74]) ).
fof(f4,axiom,
( inverse(sk_c10) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f162,plain,
( spl4_5
| spl4_1 ),
inference(avatar_split_clause,[],[f37,f65,f83]) ).
fof(f37,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c9 = multiply(sk_c10,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f161,plain,
( spl4_3
| spl4_17 ),
inference(avatar_split_clause,[],[f9,f140,f74]) ).
fof(f9,axiom,
( sk_c10 = inverse(sk_c7)
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f160,plain,
( spl4_4
| spl4_10 ),
inference(avatar_split_clause,[],[f50,f108,f78]) ).
fof(f50,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c8 = multiply(sk_c7,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
fof(f158,plain,
( spl4_5
| spl4_17 ),
inference(avatar_split_clause,[],[f39,f140,f83]) ).
fof(f39,axiom,
( sk_c10 = inverse(sk_c7)
| sk_c9 = multiply(sk_c10,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f156,plain,
( spl4_19
| spl4_7 ),
inference(avatar_split_clause,[],[f29,f94,f153]) ).
fof(f29,axiom,
( sk_c10 = inverse(sk_c6)
| sk_c9 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f146,plain,
( spl4_10
| spl4_17 ),
inference(avatar_split_clause,[],[f51,f140,f108]) ).
fof(f51,axiom,
( sk_c10 = inverse(sk_c7)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
fof(f145,plain,
( spl4_17
| spl4_11 ),
inference(avatar_split_clause,[],[f21,f114,f140]) ).
fof(f21,axiom,
( sk_c9 = multiply(sk_c2,sk_c3)
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f144,plain,
( spl4_8
| spl4_4 ),
inference(avatar_split_clause,[],[f44,f78,f98]) ).
fof(f44,axiom,
( sk_c8 = multiply(sk_c7,sk_c10)
| sk_c5 = multiply(sk_c4,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f143,plain,
( spl4_17
| spl4_2 ),
inference(avatar_split_clause,[],[f27,f69,f140]) ).
fof(f27,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f138,plain,
( ~ spl4_6
| ~ spl4_12
| ~ spl4_13
| ~ spl4_14
| ~ spl4_15
| spl4_16 ),
inference(avatar_split_clause,[],[f63,f136,f132,f128,f124,f120,f89]) ).
fof(f63,plain,
! [X4] :
( sk_c9 != multiply(X4,inverse(X4))
| ~ sP1
| sk_c9 != multiply(inverse(X4),sk_c10)
| ~ sP0
| ~ sP3
| ~ sP2
| inverse(sk_c10) != sk_c9 ),
inference(general_splitting,[],[f61,f62_D]) ).
fof(f61,plain,
! [X7,X4] :
( sk_c9 != multiply(sk_c10,multiply(X7,sk_c10))
| sk_c9 != multiply(inverse(X4),sk_c10)
| sk_c10 != inverse(X7)
| sk_c9 != multiply(X4,inverse(X4))
| inverse(sk_c10) != sk_c9
| ~ sP0
| ~ sP1
| ~ sP2 ),
inference(general_splitting,[],[f59,f60_D]) ).
fof(f59,plain,
! [X8,X7,X4] :
( sk_c10 != multiply(X8,sk_c9)
| sk_c9 != multiply(sk_c10,multiply(X7,sk_c10))
| sk_c9 != multiply(inverse(X4),sk_c10)
| sk_c10 != inverse(X7)
| sk_c10 != inverse(X8)
| sk_c9 != multiply(X4,inverse(X4))
| inverse(sk_c10) != sk_c9
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f57,f58_D]) ).
fof(f57,plain,
! [X10,X8,X7,X4] :
( sk_c9 != multiply(sk_c10,multiply(X10,sk_c10))
| sk_c10 != multiply(X8,sk_c9)
| sk_c9 != multiply(sk_c10,multiply(X7,sk_c10))
| sk_c9 != multiply(inverse(X4),sk_c10)
| sk_c10 != inverse(X7)
| sk_c10 != inverse(X8)
| sk_c9 != multiply(X4,inverse(X4))
| inverse(sk_c10) != sk_c9
| sk_c10 != inverse(X10)
| ~ sP0 ),
inference(general_splitting,[],[f55,f56_D]) ).
fof(f55,plain,
! [X3,X10,X8,X7,X4] :
( sk_c9 != multiply(sk_c10,multiply(X10,sk_c10))
| sk_c10 != multiply(X8,sk_c9)
| sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9)
| sk_c9 != multiply(sk_c10,multiply(X7,sk_c10))
| sk_c9 != multiply(inverse(X4),sk_c10)
| sk_c10 != inverse(X7)
| sk_c10 != inverse(X8)
| sk_c9 != multiply(X4,inverse(X4))
| inverse(sk_c10) != sk_c9
| sk_c10 != inverse(X10) ),
inference(equality_resolution,[],[f54]) ).
fof(f54,plain,
! [X3,X10,X8,X6,X7,X4] :
( sk_c9 != multiply(sk_c10,multiply(X10,sk_c10))
| sk_c10 != multiply(X8,sk_c9)
| multiply(X7,sk_c10) != X6
| sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9)
| sk_c9 != multiply(sk_c10,X6)
| sk_c9 != multiply(inverse(X4),sk_c10)
| sk_c10 != inverse(X7)
| sk_c10 != inverse(X8)
| sk_c9 != multiply(X4,inverse(X4))
| inverse(sk_c10) != sk_c9
| sk_c10 != inverse(X10) ),
inference(equality_resolution,[],[f53]) ).
fof(f53,plain,
! [X3,X10,X8,X6,X7,X4,X5] :
( sk_c9 != multiply(sk_c10,multiply(X10,sk_c10))
| sk_c10 != multiply(X8,sk_c9)
| inverse(X4) != X5
| multiply(X7,sk_c10) != X6
| sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9)
| sk_c9 != multiply(sk_c10,X6)
| sk_c9 != multiply(X5,sk_c10)
| sk_c10 != inverse(X7)
| sk_c10 != inverse(X8)
| sk_c9 != multiply(X4,X5)
| inverse(sk_c10) != sk_c9
| sk_c10 != inverse(X10) ),
inference(equality_resolution,[],[f52]) ).
fof(f52,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c9 != multiply(sk_c10,X9)
| sk_c10 != multiply(X8,sk_c9)
| multiply(X10,sk_c10) != X9
| inverse(X4) != X5
| multiply(X7,sk_c10) != X6
| sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9)
| sk_c9 != multiply(sk_c10,X6)
| sk_c9 != multiply(X5,sk_c10)
| sk_c10 != inverse(X7)
| sk_c10 != inverse(X8)
| sk_c9 != multiply(X4,X5)
| inverse(sk_c10) != sk_c9
| sk_c10 != inverse(X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f118,plain,
( spl4_6
| spl4_11 ),
inference(avatar_split_clause,[],[f16,f114,f89]) ).
fof(f16,axiom,
( sk_c9 = multiply(sk_c2,sk_c3)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f117,plain,
( spl4_11
| spl4_7 ),
inference(avatar_split_clause,[],[f17,f94,f114]) ).
fof(f17,axiom,
( sk_c10 = inverse(sk_c6)
| sk_c9 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f87,plain,
( spl4_1
| spl4_3 ),
inference(avatar_split_clause,[],[f7,f74,f65]) ).
fof(f7,axiom,
( inverse(sk_c1) = sk_c10
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f86,plain,
( spl4_4
| spl4_5 ),
inference(avatar_split_clause,[],[f38,f83,f78]) ).
fof(f38,axiom,
( sk_c9 = multiply(sk_c10,sk_c5)
| sk_c8 = multiply(sk_c7,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f81,plain,
( spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f8,f78,f74]) ).
fof(f8,axiom,
( sk_c8 = multiply(sk_c7,sk_c10)
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f72,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f25,f69,f65]) ).
fof(f25,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP221-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 22:18:05 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.51 % (26611)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)
% 0.20/0.51 % (26634)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.51 % (26615)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (26613)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52 % (26626)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.52 % (26627)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)
% 0.20/0.52 % (26618)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (26637)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)
% 0.20/0.53 % (26616)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (26614)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 TRYING [3]
% 0.20/0.53 % (26612)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (26618)Instruction limit reached!
% 0.20/0.53 % (26618)------------------------------
% 0.20/0.53 % (26618)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (26618)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (26618)Termination reason: Unknown
% 0.20/0.53 % (26618)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (26618)Memory used [KB]: 5500
% 0.20/0.53 % (26618)Time elapsed: 0.084 s
% 0.20/0.53 % (26618)Instructions burned: 7 (million)
% 0.20/0.53 % (26618)------------------------------
% 0.20/0.53 % (26618)------------------------------
% 0.20/0.53 % (26619)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (26619)Instruction limit reached!
% 0.20/0.53 % (26619)------------------------------
% 0.20/0.53 % (26619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (26619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (26619)Termination reason: Unknown
% 0.20/0.53 % (26619)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (26619)Memory used [KB]: 5500
% 0.20/0.53 % (26619)Time elapsed: 0.003 s
% 0.20/0.53 % (26619)Instructions burned: 3 (million)
% 0.20/0.53 % (26619)------------------------------
% 0.20/0.53 % (26619)------------------------------
% 0.20/0.53 % (26639)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53 % (26631)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.54 % (26632)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 % (26640)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)
% 0.20/0.54 % (26625)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)
% 0.20/0.54 % (26638)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)
% 0.20/0.54 % (26624)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (26617)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)
% 0.20/0.54 % (26630)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)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 TRYING [2]
% 0.20/0.54 % (26628)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54 % (26636)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.55 % (26635)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55 % (26621)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 TRYING [3]
% 0.20/0.55 % (26622)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)
% 0.20/0.55 TRYING [1]
% 0.20/0.55 % (26623)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55 % (26629)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 TRYING [4]
% 0.20/0.55 % (26620)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)
% 0.20/0.56 % (26633)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.56 TRYING [2]
% 0.20/0.57 TRYING [3]
% 0.20/0.57 % (26627)First to succeed.
% 0.20/0.57 % (26613)Instruction limit reached!
% 0.20/0.57 % (26613)------------------------------
% 0.20/0.57 % (26613)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (26613)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (26613)Termination reason: Unknown
% 0.20/0.57 % (26613)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (26613)Memory used [KB]: 1151
% 0.20/0.57 % (26613)Time elapsed: 0.171 s
% 0.20/0.57 % (26613)Instructions burned: 37 (million)
% 0.20/0.57 % (26613)------------------------------
% 0.20/0.57 % (26613)------------------------------
% 0.20/0.57 % (26627)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (26627)------------------------------
% 0.20/0.57 % (26627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (26627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (26627)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (26627)Memory used [KB]: 5756
% 0.20/0.57 % (26627)Time elapsed: 0.154 s
% 0.20/0.57 % (26627)Instructions burned: 24 (million)
% 0.20/0.57 % (26627)------------------------------
% 0.20/0.57 % (26627)------------------------------
% 0.20/0.57 % (26606)Success in time 0.215 s
%------------------------------------------------------------------------------