TSTP Solution File: GRP317-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP317-1 : 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 : n020.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 16:21:16 EDT 2022
% Result : Unsatisfiable 0.19s 0.58s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 76
% Syntax : Number of formulae : 256 ( 4 unt; 0 def)
% Number of atoms : 746 ( 299 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 888 ( 398 ~; 458 |; 0 &)
% ( 32 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 34 ( 32 usr; 33 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 64 ( 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f710,plain,
$false,
inference(avatar_sat_refutation,[],[f76,f85,f95,f117,f122,f128,f133,f140,f143,f148,f149,f150,f155,f163,f166,f167,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f186,f187,f188,f189,f194,f195,f196,f197,f198,f199,f200,f201,f205,f206,f207,f209,f211,f213,f214,f259,f289,f306,f323,f340,f341,f344,f437,f464,f522,f542,f561,f593,f632,f655,f669,f686,f708]) ).
fof(f708,plain,
( ~ spl4_1
| ~ spl4_4
| ~ spl4_12
| ~ spl4_13
| ~ spl4_14
| ~ spl4_16
| spl4_26 ),
inference(avatar_contradiction_clause,[],[f707]) ).
fof(f707,plain,
( $false
| ~ spl4_1
| ~ spl4_4
| ~ spl4_12
| ~ spl4_13
| ~ spl4_14
| ~ spl4_16
| spl4_26 ),
inference(subsumption_resolution,[],[f706,f235]) ).
fof(f235,plain,
( sk_c8 != sk_c9
| spl4_26 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f233,plain,
( spl4_26
<=> sk_c8 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_26])]) ).
fof(f706,plain,
( sk_c8 = sk_c9
| ~ spl4_1
| ~ spl4_4
| ~ spl4_12
| ~ spl4_13
| ~ spl4_14
| ~ spl4_16 ),
inference(forward_demodulation,[],[f701,f532]) ).
fof(f532,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl4_1
| ~ spl4_14 ),
inference(superposition,[],[f497,f71]) ).
fof(f71,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl4_1
<=> sk_c8 = multiply(sk_c1,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f497,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
| ~ spl4_14 ),
inference(forward_demodulation,[],[f496,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f496,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c1,X0))
| ~ spl4_14 ),
inference(superposition,[],[f3,f486]) ).
fof(f486,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl4_14 ),
inference(superposition,[],[f2,f132]) ).
fof(f132,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl4_14 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f130,plain,
( spl4_14
<=> sk_c9 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
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(f701,plain,
( sk_c8 = multiply(sk_c9,sk_c8)
| ~ spl4_4
| ~ spl4_12
| ~ spl4_13
| ~ spl4_16 ),
inference(backward_demodulation,[],[f147,f699]) ).
fof(f699,plain,
( sk_c8 = sk_c7
| ~ spl4_4
| ~ spl4_12
| ~ spl4_13 ),
inference(backward_demodulation,[],[f121,f536]) ).
fof(f536,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl4_4
| ~ spl4_13 ),
inference(superposition,[],[f499,f126]) ).
fof(f126,plain,
( sk_c9 = multiply(sk_c2,sk_c8)
| ~ spl4_13 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl4_13
<=> sk_c9 = multiply(sk_c2,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).
fof(f499,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
| ~ spl4_4 ),
inference(forward_demodulation,[],[f498,f1]) ).
fof(f498,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c2,X0))
| ~ spl4_4 ),
inference(superposition,[],[f3,f487]) ).
fof(f487,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl4_4 ),
inference(superposition,[],[f2,f84]) ).
fof(f84,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f82,plain,
( spl4_4
<=> sk_c8 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f121,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f119,plain,
( spl4_12
<=> multiply(sk_c8,sk_c9) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f147,plain,
( sk_c8 = multiply(sk_c9,sk_c7)
| ~ spl4_16 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f145,plain,
( spl4_16
<=> sk_c8 = multiply(sk_c9,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).
fof(f686,plain,
( ~ spl4_1
| ~ spl4_12
| ~ spl4_14
| ~ spl4_26
| spl4_29 ),
inference(avatar_contradiction_clause,[],[f685]) ).
fof(f685,plain,
( $false
| ~ spl4_1
| ~ spl4_12
| ~ spl4_14
| ~ spl4_26
| spl4_29 ),
inference(subsumption_resolution,[],[f683,f258]) ).
fof(f258,plain,
( sk_c9 != sk_c7
| spl4_29 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f256,plain,
( spl4_29
<=> sk_c9 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).
fof(f683,plain,
( sk_c9 = sk_c7
| ~ spl4_1
| ~ spl4_12
| ~ spl4_14
| ~ spl4_26 ),
inference(backward_demodulation,[],[f641,f558]) ).
fof(f558,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl4_1
| ~ spl4_14
| ~ spl4_26 ),
inference(backward_demodulation,[],[f532,f234]) ).
fof(f234,plain,
( sk_c8 = sk_c9
| ~ spl4_26 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f641,plain,
( sk_c7 = multiply(sk_c9,sk_c9)
| ~ spl4_12
| ~ spl4_26 ),
inference(forward_demodulation,[],[f121,f234]) ).
fof(f669,plain,
( ~ spl4_16
| ~ spl4_25
| ~ spl4_26
| spl4_29 ),
inference(avatar_contradiction_clause,[],[f668]) ).
fof(f668,plain,
( $false
| ~ spl4_16
| ~ spl4_25
| ~ spl4_26
| spl4_29 ),
inference(subsumption_resolution,[],[f664,f258]) ).
fof(f664,plain,
( sk_c9 = sk_c7
| ~ spl4_16
| ~ spl4_25
| ~ spl4_26 ),
inference(superposition,[],[f311,f633]) ).
fof(f633,plain,
( sk_c9 = multiply(sk_c9,sk_c7)
| ~ spl4_16
| ~ spl4_26 ),
inference(forward_demodulation,[],[f147,f234]) ).
fof(f311,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl4_25 ),
inference(backward_demodulation,[],[f1,f229]) ).
fof(f229,plain,
( identity = sk_c9
| ~ spl4_25 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f228,plain,
( spl4_25
<=> identity = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_25])]) ).
fof(f655,plain,
( ~ spl4_25
| spl4_28 ),
inference(avatar_contradiction_clause,[],[f654]) ).
fof(f654,plain,
( $false
| ~ spl4_25
| spl4_28 ),
inference(subsumption_resolution,[],[f392,f608]) ).
fof(f608,plain,
( sk_c9 != inverse(sk_c9)
| ~ spl4_25
| spl4_28 ),
inference(backward_demodulation,[],[f254,f229]) ).
fof(f254,plain,
( sk_c9 != inverse(identity)
| spl4_28 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f252,plain,
( spl4_28
<=> sk_c9 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_28])]) ).
fof(f392,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl4_25 ),
inference(superposition,[],[f388,f380]) ).
fof(f380,plain,
( ! [X3] : multiply(inverse(inverse(X3)),sk_c9) = X3
| ~ spl4_25 ),
inference(superposition,[],[f370,f310]) ).
fof(f310,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c9
| ~ spl4_25 ),
inference(backward_demodulation,[],[f2,f229]) ).
fof(f370,plain,
( ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1
| ~ spl4_25 ),
inference(forward_demodulation,[],[f369,f311]) ).
fof(f369,plain,
( ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(sk_c9,X1)
| ~ spl4_25 ),
inference(superposition,[],[f3,f310]) ).
fof(f388,plain,
( ! [X0] : sk_c9 = multiply(inverse(inverse(inverse(X0))),X0)
| ~ spl4_25 ),
inference(superposition,[],[f370,f380]) ).
fof(f632,plain,
( ~ spl4_5
| ~ spl4_7
| ~ spl4_8
| ~ spl4_15
| spl4_17
| ~ spl4_26
| ~ spl4_29 ),
inference(avatar_contradiction_clause,[],[f631]) ).
fof(f631,plain,
( $false
| ~ spl4_5
| ~ spl4_7
| ~ spl4_8
| ~ spl4_15
| spl4_17
| ~ spl4_26
| ~ spl4_29 ),
inference(subsumption_resolution,[],[f630,f257]) ).
fof(f257,plain,
( sk_c9 = sk_c7
| ~ spl4_29 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f630,plain,
( sk_c9 != sk_c7
| ~ spl4_5
| ~ spl4_7
| ~ spl4_8
| ~ spl4_15
| spl4_17
| ~ spl4_26
| ~ spl4_29 ),
inference(forward_demodulation,[],[f629,f583]) ).
fof(f583,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl4_5
| ~ spl4_7
| ~ spl4_8
| ~ spl4_15
| ~ spl4_26
| ~ spl4_29 ),
inference(backward_demodulation,[],[f138,f579]) ).
fof(f579,plain,
( sk_c9 = sk_c3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_8
| ~ spl4_15
| ~ spl4_26
| ~ spl4_29 ),
inference(forward_demodulation,[],[f577,f346]) ).
fof(f346,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl4_7
| ~ spl4_26
| ~ spl4_29 ),
inference(backward_demodulation,[],[f324,f234]) ).
fof(f324,plain,
( sk_c9 = multiply(sk_c8,sk_c9)
| ~ spl4_7
| ~ spl4_29 ),
inference(backward_demodulation,[],[f99,f257]) ).
fof(f99,plain,
( sk_c9 = multiply(sk_c8,sk_c7)
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl4_7
<=> sk_c9 = multiply(sk_c8,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f577,plain,
( sk_c3 = multiply(sk_c9,sk_c9)
| ~ spl4_5
| ~ spl4_8
| ~ spl4_15 ),
inference(superposition,[],[f529,f571]) ).
fof(f571,plain,
( sk_c9 = multiply(sk_c3,sk_c3)
| ~ spl4_5
| ~ spl4_8 ),
inference(superposition,[],[f501,f89]) ).
fof(f89,plain,
( sk_c3 = multiply(sk_c4,sk_c9)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f87,plain,
( spl4_5
<=> sk_c3 = multiply(sk_c4,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f501,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c4,X0)) = X0
| ~ spl4_8 ),
inference(forward_demodulation,[],[f500,f1]) ).
fof(f500,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c4,X0))
| ~ spl4_8 ),
inference(superposition,[],[f3,f488]) ).
fof(f488,plain,
( identity = multiply(sk_c3,sk_c4)
| ~ spl4_8 ),
inference(superposition,[],[f2,f103]) ).
fof(f103,plain,
( inverse(sk_c4) = sk_c3
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl4_8
<=> inverse(sk_c4) = sk_c3 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f529,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c3,X0)) = X0
| ~ spl4_15 ),
inference(forward_demodulation,[],[f528,f1]) ).
fof(f528,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c3,X0))
| ~ spl4_15 ),
inference(superposition,[],[f3,f489]) ).
fof(f489,plain,
( identity = multiply(sk_c9,sk_c3)
| ~ spl4_15 ),
inference(superposition,[],[f2,f138]) ).
fof(f138,plain,
( sk_c9 = inverse(sk_c3)
| ~ spl4_15 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl4_15
<=> sk_c9 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
fof(f629,plain,
( sk_c7 != inverse(sk_c9)
| spl4_17
| ~ spl4_26 ),
inference(forward_demodulation,[],[f153,f234]) ).
fof(f153,plain,
( sk_c7 != inverse(sk_c8)
| spl4_17 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f152,plain,
( spl4_17
<=> sk_c7 = inverse(sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
fof(f593,plain,
( spl4_25
| ~ spl4_5
| ~ spl4_7
| ~ spl4_8
| ~ spl4_15
| ~ spl4_26
| ~ spl4_29 ),
inference(avatar_split_clause,[],[f592,f256,f233,f136,f101,f97,f87,f228]) ).
fof(f592,plain,
( identity = sk_c9
| ~ spl4_5
| ~ spl4_7
| ~ spl4_8
| ~ spl4_15
| ~ spl4_26
| ~ spl4_29 ),
inference(forward_demodulation,[],[f585,f346]) ).
fof(f585,plain,
( identity = multiply(sk_c9,sk_c9)
| ~ spl4_5
| ~ spl4_7
| ~ spl4_8
| ~ spl4_15
| ~ spl4_26
| ~ spl4_29 ),
inference(backward_demodulation,[],[f489,f579]) ).
fof(f561,plain,
( ~ spl4_28
| ~ spl4_26
| spl4_27 ),
inference(avatar_split_clause,[],[f560,f237,f233,f252]) ).
fof(f237,plain,
( spl4_27
<=> sk_c8 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_27])]) ).
fof(f560,plain,
( sk_c9 != inverse(identity)
| ~ spl4_26
| spl4_27 ),
inference(forward_demodulation,[],[f239,f234]) ).
fof(f239,plain,
( sk_c8 != inverse(identity)
| spl4_27 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f542,plain,
( ~ spl4_27
| ~ spl4_26
| ~ spl4_11 ),
inference(avatar_split_clause,[],[f218,f115,f233,f237]) ).
fof(f115,plain,
( spl4_11
<=> ! [X4] :
( sk_c8 != inverse(X4)
| sk_c9 != multiply(X4,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f218,plain,
( sk_c8 != sk_c9
| sk_c8 != inverse(identity)
| ~ spl4_11 ),
inference(superposition,[],[f116,f1]) ).
fof(f116,plain,
( ! [X4] :
( sk_c9 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) )
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f522,plain,
( ~ spl4_26
| ~ spl4_28
| ~ spl4_19 ),
inference(avatar_split_clause,[],[f502,f161,f252,f233]) ).
fof(f161,plain,
( spl4_19
<=> ! [X3] :
( sk_c9 != inverse(X3)
| sk_c8 != multiply(X3,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).
fof(f502,plain,
( sk_c9 != inverse(identity)
| sk_c8 != sk_c9
| ~ spl4_19 ),
inference(superposition,[],[f162,f1]) ).
fof(f162,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) )
| ~ spl4_19 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f464,plain,
( spl4_7
| ~ spl4_12
| ~ spl4_29 ),
inference(avatar_contradiction_clause,[],[f463]) ).
fof(f463,plain,
( $false
| spl4_7
| ~ spl4_12
| ~ spl4_29 ),
inference(subsumption_resolution,[],[f447,f345]) ).
fof(f345,plain,
( sk_c9 = multiply(sk_c8,sk_c9)
| ~ spl4_12
| ~ spl4_29 ),
inference(forward_demodulation,[],[f121,f257]) ).
fof(f447,plain,
( sk_c9 != multiply(sk_c8,sk_c9)
| spl4_7
| ~ spl4_29 ),
inference(forward_demodulation,[],[f98,f257]) ).
fof(f98,plain,
( sk_c9 != multiply(sk_c8,sk_c7)
| spl4_7 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f437,plain,
( ~ spl4_17
| ~ spl4_23
| ~ spl4_25
| ~ spl4_26
| ~ spl4_29 ),
inference(avatar_contradiction_clause,[],[f436]) ).
fof(f436,plain,
( $false
| ~ spl4_17
| ~ spl4_23
| ~ spl4_25
| ~ spl4_26
| ~ spl4_29 ),
inference(subsumption_resolution,[],[f425,f347]) ).
fof(f347,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl4_17
| ~ spl4_26
| ~ spl4_29 ),
inference(backward_demodulation,[],[f326,f234]) ).
fof(f326,plain,
( sk_c9 = inverse(sk_c8)
| ~ spl4_17
| ~ spl4_29 ),
inference(backward_demodulation,[],[f154,f257]) ).
fof(f154,plain,
( sk_c7 = inverse(sk_c8)
| ~ spl4_17 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f425,plain,
( sk_c9 != inverse(sk_c9)
| ~ spl4_23
| ~ spl4_25 ),
inference(duplicate_literal_removal,[],[f424]) ).
fof(f424,plain,
( sk_c9 != inverse(sk_c9)
| sk_c9 != inverse(sk_c9)
| ~ spl4_23
| ~ spl4_25 ),
inference(superposition,[],[f204,f311]) ).
fof(f204,plain,
( ! [X5] :
( sk_c9 != inverse(multiply(X5,sk_c9))
| inverse(X5) != multiply(X5,sk_c9) )
| ~ spl4_23 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f203,plain,
( spl4_23
<=> ! [X5] :
( inverse(X5) != multiply(X5,sk_c9)
| sk_c9 != inverse(multiply(X5,sk_c9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).
fof(f344,plain,
( spl4_26
| ~ spl4_16
| ~ spl4_25
| ~ spl4_29 ),
inference(avatar_split_clause,[],[f343,f256,f228,f145,f233]) ).
fof(f343,plain,
( sk_c8 = sk_c9
| ~ spl4_16
| ~ spl4_25
| ~ spl4_29 ),
inference(forward_demodulation,[],[f342,f311]) ).
fof(f342,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl4_16
| ~ spl4_29 ),
inference(forward_demodulation,[],[f147,f257]) ).
fof(f341,plain,
( spl4_26
| ~ spl4_2
| ~ spl4_3
| ~ spl4_7
| ~ spl4_29 ),
inference(avatar_split_clause,[],[f333,f256,f97,f78,f73,f233]) ).
fof(f73,plain,
( spl4_2
<=> sk_c9 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f78,plain,
( spl4_3
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f333,plain,
( sk_c8 = sk_c9
| ~ spl4_2
| ~ spl4_3
| ~ spl4_7
| ~ spl4_29 ),
inference(backward_demodulation,[],[f290,f324]) ).
fof(f290,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl4_2
| ~ spl4_3 ),
inference(superposition,[],[f279,f75]) ).
fof(f75,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f279,plain,
( ! [X9] : multiply(sk_c8,multiply(sk_c5,X9)) = X9
| ~ spl4_3 ),
inference(forward_demodulation,[],[f273,f1]) ).
fof(f273,plain,
( ! [X9] : multiply(sk_c8,multiply(sk_c5,X9)) = multiply(identity,X9)
| ~ spl4_3 ),
inference(superposition,[],[f3,f215]) ).
fof(f215,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl4_3 ),
inference(superposition,[],[f2,f80]) ).
fof(f80,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f340,plain,
( ~ spl4_7
| spl4_12
| ~ spl4_29 ),
inference(avatar_contradiction_clause,[],[f339]) ).
fof(f339,plain,
( $false
| ~ spl4_7
| spl4_12
| ~ spl4_29 ),
inference(subsumption_resolution,[],[f338,f324]) ).
fof(f338,plain,
( sk_c9 != multiply(sk_c8,sk_c9)
| spl4_12
| ~ spl4_29 ),
inference(forward_demodulation,[],[f120,f257]) ).
fof(f120,plain,
( multiply(sk_c8,sk_c9) != sk_c7
| spl4_12 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f323,plain,
( spl4_29
| ~ spl4_6
| ~ spl4_9
| ~ spl4_25 ),
inference(avatar_split_clause,[],[f320,f228,f106,f91,f256]) ).
fof(f91,plain,
( spl4_6
<=> sk_c9 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f106,plain,
( spl4_9
<=> sk_c7 = multiply(sk_c6,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f320,plain,
( sk_c9 = sk_c7
| ~ spl4_6
| ~ spl4_9
| ~ spl4_25 ),
inference(superposition,[],[f284,f311]) ).
fof(f284,plain,
( sk_c9 = multiply(sk_c9,sk_c7)
| ~ spl4_6
| ~ spl4_9 ),
inference(superposition,[],[f278,f108]) ).
fof(f108,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f278,plain,
( ! [X10] : multiply(sk_c9,multiply(sk_c6,X10)) = X10
| ~ spl4_6 ),
inference(forward_demodulation,[],[f274,f1]) ).
fof(f274,plain,
( ! [X10] : multiply(sk_c9,multiply(sk_c6,X10)) = multiply(identity,X10)
| ~ spl4_6 ),
inference(superposition,[],[f3,f216]) ).
fof(f216,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl4_6 ),
inference(superposition,[],[f2,f93]) ).
fof(f93,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f306,plain,
( spl4_25
| ~ spl4_2
| ~ spl4_3
| ~ spl4_17 ),
inference(avatar_split_clause,[],[f303,f152,f78,f73,f228]) ).
fof(f303,plain,
( identity = sk_c9
| ~ spl4_2
| ~ spl4_3
| ~ spl4_17 ),
inference(backward_demodulation,[],[f217,f295]) ).
fof(f295,plain,
( sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_17 ),
inference(superposition,[],[f282,f290]) ).
fof(f282,plain,
( ! [X11] : multiply(sk_c7,multiply(sk_c8,X11)) = X11
| ~ spl4_17 ),
inference(forward_demodulation,[],[f275,f1]) ).
fof(f275,plain,
( ! [X11] : multiply(identity,X11) = multiply(sk_c7,multiply(sk_c8,X11))
| ~ spl4_17 ),
inference(superposition,[],[f3,f217]) ).
fof(f217,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl4_17 ),
inference(superposition,[],[f2,f154]) ).
fof(f289,plain,
( ~ spl4_26
| ~ spl4_6
| ~ spl4_9
| spl4_16 ),
inference(avatar_split_clause,[],[f287,f145,f106,f91,f233]) ).
fof(f287,plain,
( sk_c8 != sk_c9
| ~ spl4_6
| ~ spl4_9
| spl4_16 ),
inference(backward_demodulation,[],[f146,f284]) ).
fof(f146,plain,
( sk_c8 != multiply(sk_c9,sk_c7)
| spl4_16 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f259,plain,
( ~ spl4_28
| ~ spl4_29
| ~ spl4_20 ),
inference(avatar_split_clause,[],[f245,f169,f256,f252]) ).
fof(f169,plain,
( spl4_20
<=> ! [X8] :
( sk_c7 != multiply(X8,sk_c9)
| sk_c9 != inverse(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).
fof(f245,plain,
( sk_c9 != inverse(identity)
| sk_c9 != sk_c7
| ~ spl4_20 ),
inference(superposition,[],[f170,f1]) ).
fof(f170,plain,
( ! [X8] :
( sk_c7 != multiply(X8,sk_c9)
| sk_c9 != inverse(X8) )
| ~ spl4_20 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f214,plain,
( spl4_3
| spl4_14 ),
inference(avatar_split_clause,[],[f19,f130,f78]) ).
fof(f19,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f213,plain,
( spl4_17
| spl4_16 ),
inference(avatar_split_clause,[],[f23,f145,f152]) ).
fof(f23,axiom,
( sk_c8 = multiply(sk_c9,sk_c7)
| sk_c7 = inverse(sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f211,plain,
( spl4_5
| spl4_3 ),
inference(avatar_split_clause,[],[f55,f78,f87]) ).
fof(f55,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c3 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_52) ).
fof(f209,plain,
( spl4_9
| spl4_1 ),
inference(avatar_split_clause,[],[f14,f69,f106]) ).
fof(f14,axiom,
( sk_c8 = multiply(sk_c1,sk_c9)
| sk_c7 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f207,plain,
( spl4_12
| spl4_17 ),
inference(avatar_split_clause,[],[f5,f152,f119]) ).
fof(f5,axiom,
( sk_c7 = inverse(sk_c8)
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f206,plain,
( spl4_16
| spl4_9 ),
inference(avatar_split_clause,[],[f26,f106,f145]) ).
fof(f26,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c8 = multiply(sk_c9,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f205,plain,
( ~ spl4_22
| ~ spl4_16
| ~ spl4_18
| ~ spl4_21
| ~ spl4_12
| spl4_23
| ~ spl4_10
| ~ spl4_7
| ~ spl4_17 ),
inference(avatar_split_clause,[],[f67,f152,f97,f111,f203,f119,f172,f157,f145,f191]) ).
fof(f191,plain,
( spl4_22
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).
fof(f157,plain,
( spl4_18
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).
fof(f172,plain,
( spl4_21
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).
fof(f111,plain,
( spl4_10
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f67,plain,
! [X5] :
( sk_c7 != inverse(sk_c8)
| sk_c9 != multiply(sk_c8,sk_c7)
| ~ sP3
| inverse(X5) != multiply(X5,sk_c9)
| multiply(sk_c8,sk_c9) != sk_c7
| ~ sP1
| sk_c9 != inverse(multiply(X5,sk_c9))
| ~ sP0
| sk_c8 != multiply(sk_c9,sk_c7)
| ~ sP2 ),
inference(general_splitting,[],[f65,f66_D]) ).
fof(f66,plain,
! [X4] :
( sk_c8 != inverse(X4)
| sP3
| sk_c9 != multiply(X4,sk_c8) ),
inference(cnf_transformation,[],[f66_D]) ).
fof(f66_D,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c9 != multiply(X4,sk_c8) )
<=> ~ sP3 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f65,plain,
! [X4,X5] :
( multiply(sk_c8,sk_c9) != sk_c7
| sk_c8 != inverse(X4)
| sk_c8 != multiply(sk_c9,sk_c7)
| sk_c7 != inverse(sk_c8)
| sk_c9 != multiply(X4,sk_c8)
| sk_c9 != multiply(sk_c8,sk_c7)
| inverse(X5) != multiply(X5,sk_c9)
| sk_c9 != inverse(multiply(X5,sk_c9))
| ~ sP0
| ~ sP1
| ~ sP2 ),
inference(general_splitting,[],[f63,f64_D]) ).
fof(f64,plain,
! [X7] :
( sk_c9 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7)
| sP2 ),
inference(cnf_transformation,[],[f64_D]) ).
fof(f64_D,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f63,plain,
! [X7,X4,X5] :
( multiply(sk_c8,sk_c9) != sk_c7
| sk_c8 != inverse(X4)
| sk_c8 != multiply(sk_c9,sk_c7)
| sk_c7 != inverse(sk_c8)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != multiply(X4,sk_c8)
| sk_c8 != inverse(X7)
| sk_c9 != multiply(sk_c8,sk_c7)
| inverse(X5) != multiply(X5,sk_c9)
| sk_c9 != inverse(multiply(X5,sk_c9))
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f61,f62_D]) ).
fof(f62,plain,
! [X8] :
( sP1
| sk_c7 != multiply(X8,sk_c9)
| sk_c9 != inverse(X8) ),
inference(cnf_transformation,[],[f62_D]) ).
fof(f62_D,plain,
( ! [X8] :
( sk_c7 != multiply(X8,sk_c9)
| sk_c9 != inverse(X8) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f61,plain,
! [X8,X7,X4,X5] :
( sk_c9 != inverse(X8)
| multiply(sk_c8,sk_c9) != sk_c7
| sk_c7 != multiply(X8,sk_c9)
| sk_c8 != inverse(X4)
| sk_c8 != multiply(sk_c9,sk_c7)
| sk_c7 != inverse(sk_c8)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != multiply(X4,sk_c8)
| sk_c8 != inverse(X7)
| sk_c9 != multiply(sk_c8,sk_c7)
| inverse(X5) != multiply(X5,sk_c9)
| sk_c9 != inverse(multiply(X5,sk_c9))
| ~ sP0 ),
inference(general_splitting,[],[f59,f60_D]) ).
fof(f60,plain,
! [X3] :
( sk_c9 != inverse(X3)
| sk_c8 != multiply(X3,sk_c9)
| sP0 ),
inference(cnf_transformation,[],[f60_D]) ).
fof(f60_D,plain,
( ! [X3] :
( sk_c9 != inverse(X3)
| sk_c8 != multiply(X3,sk_c9) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f59,plain,
! [X3,X8,X7,X4,X5] :
( sk_c9 != inverse(X8)
| multiply(sk_c8,sk_c9) != sk_c7
| sk_c7 != multiply(X8,sk_c9)
| sk_c8 != multiply(X3,sk_c9)
| sk_c8 != inverse(X4)
| sk_c8 != multiply(sk_c9,sk_c7)
| sk_c7 != inverse(sk_c8)
| sk_c9 != inverse(X3)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != multiply(X4,sk_c8)
| sk_c8 != inverse(X7)
| sk_c9 != multiply(sk_c8,sk_c7)
| inverse(X5) != multiply(X5,sk_c9)
| sk_c9 != inverse(multiply(X5,sk_c9)) ),
inference(equality_resolution,[],[f58]) ).
fof(f58,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c9 != inverse(X8)
| multiply(sk_c8,sk_c9) != sk_c7
| sk_c7 != multiply(X8,sk_c9)
| sk_c8 != multiply(X3,sk_c9)
| sk_c8 != inverse(X4)
| sk_c8 != multiply(sk_c9,sk_c7)
| sk_c7 != inverse(sk_c8)
| sk_c9 != inverse(X3)
| sk_c9 != multiply(X7,sk_c8)
| multiply(X5,sk_c9) != X6
| sk_c9 != multiply(X4,sk_c8)
| sk_c8 != inverse(X7)
| sk_c9 != multiply(sk_c8,sk_c7)
| inverse(X5) != X6
| sk_c9 != inverse(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_55) ).
fof(f201,plain,
( spl4_6
| spl4_13 ),
inference(avatar_split_clause,[],[f33,f124,f91]) ).
fof(f33,axiom,
( sk_c9 = multiply(sk_c2,sk_c8)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f200,plain,
( spl4_3
| spl4_15 ),
inference(avatar_split_clause,[],[f49,f136,f78]) ).
fof(f49,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f199,plain,
( spl4_12
| spl4_2 ),
inference(avatar_split_clause,[],[f6,f73,f119]) ).
fof(f6,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f198,plain,
( spl4_13
| spl4_9 ),
inference(avatar_split_clause,[],[f32,f106,f124]) ).
fof(f32,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c9 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f197,plain,
( spl4_1
| spl4_6 ),
inference(avatar_split_clause,[],[f15,f91,f69]) ).
fof(f15,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f196,plain,
( spl4_16
| spl4_6 ),
inference(avatar_split_clause,[],[f27,f91,f145]) ).
fof(f27,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c8 = multiply(sk_c9,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f195,plain,
( spl4_17
| spl4_5 ),
inference(avatar_split_clause,[],[f53,f87,f152]) ).
fof(f53,axiom,
( sk_c3 = multiply(sk_c4,sk_c9)
| sk_c7 = inverse(sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_50) ).
fof(f194,plain,
( spl4_22
| spl4_11 ),
inference(avatar_split_clause,[],[f64,f115,f191]) ).
fof(f189,plain,
( spl4_9
| spl4_12 ),
inference(avatar_split_clause,[],[f8,f119,f106]) ).
fof(f8,axiom,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c7 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f188,plain,
( spl4_13
| spl4_2 ),
inference(avatar_split_clause,[],[f30,f73,f124]) ).
fof(f30,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c9 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f187,plain,
( spl4_15
| spl4_17 ),
inference(avatar_split_clause,[],[f47,f152,f136]) ).
fof(f47,axiom,
( sk_c7 = inverse(sk_c8)
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
fof(f186,plain,
( spl4_8
| spl4_2 ),
inference(avatar_split_clause,[],[f42,f73,f101]) ).
fof(f42,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| inverse(sk_c4) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f184,plain,
( spl4_3
| spl4_12 ),
inference(avatar_split_clause,[],[f7,f119,f78]) ).
fof(f7,axiom,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f183,plain,
( spl4_8
| spl4_3 ),
inference(avatar_split_clause,[],[f43,f78,f101]) ).
fof(f43,axiom,
( sk_c8 = inverse(sk_c5)
| inverse(sk_c4) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f182,plain,
( spl4_13
| spl4_17 ),
inference(avatar_split_clause,[],[f29,f152,f124]) ).
fof(f29,axiom,
( sk_c7 = inverse(sk_c8)
| sk_c9 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f181,plain,
( spl4_9
| spl4_4 ),
inference(avatar_split_clause,[],[f38,f82,f106]) ).
fof(f38,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c7 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f180,plain,
( spl4_7
| spl4_12 ),
inference(avatar_split_clause,[],[f4,f119,f97]) ).
fof(f4,axiom,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c9 = multiply(sk_c8,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f179,plain,
( spl4_14
| spl4_17 ),
inference(avatar_split_clause,[],[f17,f152,f130]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c8)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f178,plain,
( spl4_4
| spl4_17 ),
inference(avatar_split_clause,[],[f35,f152,f82]) ).
fof(f35,axiom,
( sk_c7 = inverse(sk_c8)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f177,plain,
( spl4_8
| spl4_17 ),
inference(avatar_split_clause,[],[f41,f152,f101]) ).
fof(f41,axiom,
( sk_c7 = inverse(sk_c8)
| inverse(sk_c4) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f176,plain,
( spl4_2
| spl4_5 ),
inference(avatar_split_clause,[],[f54,f87,f73]) ).
fof(f54,axiom,
( sk_c3 = multiply(sk_c4,sk_c9)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
fof(f175,plain,
( spl4_20
| spl4_21 ),
inference(avatar_split_clause,[],[f62,f172,f169]) ).
fof(f167,plain,
( spl4_2
| spl4_16 ),
inference(avatar_split_clause,[],[f24,f145,f73]) ).
fof(f24,axiom,
( sk_c8 = multiply(sk_c9,sk_c7)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f166,plain,
( spl4_15
| spl4_2 ),
inference(avatar_split_clause,[],[f48,f73,f136]) ).
fof(f48,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f163,plain,
( spl4_18
| spl4_19 ),
inference(avatar_split_clause,[],[f60,f161,f157]) ).
fof(f155,plain,
( spl4_1
| spl4_17 ),
inference(avatar_split_clause,[],[f11,f152,f69]) ).
fof(f11,axiom,
( sk_c7 = inverse(sk_c8)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f150,plain,
( spl4_2
| spl4_14 ),
inference(avatar_split_clause,[],[f18,f130,f73]) ).
fof(f18,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f149,plain,
( spl4_13
| spl4_3 ),
inference(avatar_split_clause,[],[f31,f78,f124]) ).
fof(f31,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f148,plain,
( spl4_16
| spl4_3 ),
inference(avatar_split_clause,[],[f25,f78,f145]) ).
fof(f25,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c9,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f143,plain,
( spl4_1
| spl4_3 ),
inference(avatar_split_clause,[],[f13,f78,f69]) ).
fof(f13,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f140,plain,
( spl4_14
| spl4_9 ),
inference(avatar_split_clause,[],[f20,f106,f130]) ).
fof(f20,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f133,plain,
( spl4_14
| spl4_6 ),
inference(avatar_split_clause,[],[f21,f91,f130]) ).
fof(f21,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f128,plain,
( spl4_4
| spl4_2 ),
inference(avatar_split_clause,[],[f36,f73,f82]) ).
fof(f36,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f122,plain,
( spl4_12
| spl4_6 ),
inference(avatar_split_clause,[],[f9,f91,f119]) ).
fof(f9,axiom,
( sk_c9 = inverse(sk_c6)
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f117,plain,
( spl4_10
| spl4_11 ),
inference(avatar_split_clause,[],[f66,f115,f111]) ).
fof(f95,plain,
( spl4_4
| spl4_6 ),
inference(avatar_split_clause,[],[f39,f91,f82]) ).
fof(f39,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f85,plain,
( spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f37,f82,f78]) ).
fof(f37,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f76,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f12,f73,f69]) ).
fof(f12,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP317-1 : TPTP v8.1.0. Released v2.5.0.
% 0.08/0.13 % 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 : n020.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 22:26:15 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.50 % (26523)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)
% 0.19/0.50 % (26532)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)
% 0.19/0.50 % (26521)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)
% 0.19/0.51 % (26535)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.52 % (26541)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)
% 0.19/0.52 % (26526)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 % (26526)Instruction limit reached!
% 0.19/0.52 % (26526)------------------------------
% 0.19/0.52 % (26526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (26526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (26526)Termination reason: Unknown
% 0.19/0.52 % (26526)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (26526)Memory used [KB]: 5373
% 0.19/0.52 % (26526)Time elapsed: 0.003 s
% 0.19/0.52 % (26526)Instructions burned: 2 (million)
% 0.19/0.52 % (26526)------------------------------
% 0.19/0.52 % (26526)------------------------------
% 0.19/0.52 TRYING [2]
% 0.19/0.53 % (26520)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)
% 0.19/0.53 % (26542)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)
% 0.19/0.53 % (26522)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 TRYING [3]
% 0.19/0.53 % (26528)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (26546)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)
% 0.19/0.53 % (26544)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54 % (26548)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)
% 0.19/0.54 % (26519)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)
% 0.19/0.54 % (26543)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54 % (26533)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)
% 0.19/0.54 % (26518)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)
% 0.19/0.54 % (26524)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)
% 0.19/0.54 % (26540)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54 % (26525)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54 TRYING [1]
% 0.19/0.54 % (26539)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)
% 0.19/0.54 TRYING [2]
% 0.19/0.54 % (26529)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)
% 0.19/0.54 % (26527)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)
% 0.19/0.54 % (26525)Instruction limit reached!
% 0.19/0.54 % (26525)------------------------------
% 0.19/0.54 % (26525)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (26525)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (26525)Termination reason: Unknown
% 0.19/0.54 % (26525)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (26525)Memory used [KB]: 5500
% 0.19/0.54 % (26525)Time elapsed: 0.149 s
% 0.19/0.54 % (26525)Instructions burned: 7 (million)
% 0.19/0.54 % (26525)------------------------------
% 0.19/0.54 % (26525)------------------------------
% 0.19/0.54 TRYING [1]
% 0.19/0.55 TRYING [2]
% 0.19/0.55 % (26534)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)
% 0.19/0.55 TRYING [4]
% 0.19/0.55 % (26531)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55 % (26545)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)
% 0.19/0.55 % (26538)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)
% 0.19/0.56 % (26547)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.56 % (26537)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.56 % (26530)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.56 % (26535)Instruction limit reached!
% 0.19/0.56 % (26535)------------------------------
% 0.19/0.56 % (26535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (26535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (26535)Termination reason: Unknown
% 0.19/0.56 % (26535)Termination phase: Finite model building SAT solving
% 0.19/0.56
% 0.19/0.56 % (26535)Memory used [KB]: 7036
% 0.19/0.56 % (26535)Time elapsed: 0.162 s
% 0.19/0.56 % (26535)Instructions burned: 59 (million)
% 0.19/0.56 % (26535)------------------------------
% 0.19/0.56 % (26535)------------------------------
% 0.19/0.57 TRYING [3]
% 0.19/0.57 % (26521)Instruction limit reached!
% 0.19/0.57 % (26521)------------------------------
% 0.19/0.57 % (26521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (26521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (26521)Termination reason: Unknown
% 0.19/0.57 % (26521)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (26521)Memory used [KB]: 6396
% 0.19/0.57 % (26521)Time elapsed: 0.168 s
% 0.19/0.57 % (26521)Instructions burned: 51 (million)
% 0.19/0.57 % (26521)------------------------------
% 0.19/0.57 % (26521)------------------------------
% 0.19/0.57 % (26523)Instruction limit reached!
% 0.19/0.57 % (26523)------------------------------
% 0.19/0.57 % (26523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 TRYING [3]
% 0.19/0.58 % (26534)First to succeed.
% 0.19/0.58 % (26534)Refutation found. Thanks to Tanya!
% 0.19/0.58 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.58 % (26534)------------------------------
% 0.19/0.58 % (26534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (26534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (26534)Termination reason: Refutation
% 0.19/0.58
% 0.19/0.58 % (26534)Memory used [KB]: 5884
% 0.19/0.58 % (26534)Time elapsed: 0.183 s
% 0.19/0.58 % (26534)Instructions burned: 24 (million)
% 0.19/0.58 % (26534)------------------------------
% 0.19/0.58 % (26534)------------------------------
% 0.19/0.58 % (26516)Success in time 0.225 s
%------------------------------------------------------------------------------