TSTP Solution File: GRP336-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP336-1 : 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 : n027.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 16:21:20 EDT 2022
% Result : Unsatisfiable 2.31s 0.65s
% Output : Refutation 2.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 70
% Syntax : Number of formulae : 315 ( 7 unt; 0 def)
% Number of atoms : 1266 ( 380 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 1865 ( 914 ~; 924 |; 0 &)
% ( 27 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 4 ( 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 : 79 ( 79 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1064,plain,
$false,
inference(avatar_sat_refutation,[],[f71,f76,f81,f90,f95,f100,f108,f113,f118,f119,f133,f134,f150,f151,f156,f158,f159,f164,f165,f166,f167,f168,f169,f170,f171,f173,f174,f175,f177,f178,f180,f181,f182,f186,f187,f188,f189,f192,f193,f194,f195,f197,f198,f199,f206,f334,f371,f509,f526,f538,f795,f943,f968,f993,f998,f1008,f1032,f1063]) ).
fof(f1063,plain,
( ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_10
| ~ spl4_11
| ~ spl4_12
| ~ spl4_14
| ~ spl4_21 ),
inference(avatar_contradiction_clause,[],[f1062]) ).
fof(f1062,plain,
( $false
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_10
| ~ spl4_11
| ~ spl4_12
| ~ spl4_14
| ~ spl4_21 ),
inference(trivial_inequality_removal,[],[f1061]) ).
fof(f1061,plain,
( sk_c10 != sk_c10
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_10
| ~ spl4_11
| ~ spl4_12
| ~ spl4_14
| ~ spl4_21 ),
inference(superposition,[],[f1060,f930]) ).
fof(f930,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_11
| ~ spl4_12
| ~ spl4_21 ),
inference(backward_demodulation,[],[f861,f927]) ).
fof(f927,plain,
( sk_c10 = sk_c8
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_11
| ~ spl4_12
| ~ spl4_21 ),
inference(forward_demodulation,[],[f924,f879]) ).
fof(f879,plain,
( sk_c10 = multiply(sk_c8,identity)
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_11
| ~ spl4_21 ),
inference(forward_demodulation,[],[f848,f860]) ).
fof(f860,plain,
( sk_c8 = sk_c4
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_21 ),
inference(backward_demodulation,[],[f495,f849]) ).
fof(f849,plain,
( sk_c8 = multiply(inverse(sk_c10),identity)
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4 ),
inference(backward_demodulation,[],[f806,f835]) ).
fof(f835,plain,
( identity = sk_c9
| ~ spl4_1
| ~ spl4_4 ),
inference(forward_demodulation,[],[f833,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f833,plain,
( sk_c9 = multiply(inverse(sk_c7),sk_c7)
| ~ spl4_1
| ~ spl4_4 ),
inference(superposition,[],[f234,f810]) ).
fof(f810,plain,
( sk_c7 = multiply(sk_c7,sk_c9)
| ~ spl4_1
| ~ spl4_4 ),
inference(forward_demodulation,[],[f808,f66]) ).
fof(f66,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl4_1
<=> sk_c7 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f808,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c9)
| ~ spl4_4 ),
inference(superposition,[],[f234,f80]) ).
fof(f80,plain,
( sk_c9 = multiply(sk_c6,sk_c7)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl4_4
<=> sk_c9 = multiply(sk_c6,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f234,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/sandbox/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/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f806,plain,
( sk_c8 = multiply(inverse(sk_c10),sk_c9)
| ~ spl4_3 ),
inference(superposition,[],[f234,f75]) ).
fof(f75,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f73,plain,
( spl4_3
<=> sk_c9 = multiply(sk_c10,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f495,plain,
( sk_c4 = multiply(inverse(sk_c10),identity)
| ~ spl4_21 ),
inference(superposition,[],[f234,f423]) ).
fof(f423,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl4_21 ),
inference(superposition,[],[f2,f163]) ).
fof(f163,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl4_21 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f161,plain,
( spl4_21
<=> sk_c10 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).
fof(f848,plain,
( sk_c10 = multiply(sk_c4,identity)
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_11
| ~ spl4_21 ),
inference(backward_demodulation,[],[f799,f835]) ).
fof(f799,plain,
( sk_c10 = multiply(sk_c4,sk_c9)
| ~ spl4_5
| ~ spl4_11
| ~ spl4_21 ),
inference(forward_demodulation,[],[f112,f719]) ).
fof(f719,plain,
( sk_c4 = sk_c5
| ~ spl4_5
| ~ spl4_21 ),
inference(backward_demodulation,[],[f485,f495]) ).
fof(f485,plain,
( sk_c5 = multiply(inverse(sk_c10),identity)
| ~ spl4_5 ),
inference(superposition,[],[f234,f419]) ).
fof(f419,plain,
( identity = multiply(sk_c10,sk_c5)
| ~ spl4_5 ),
inference(superposition,[],[f2,f85]) ).
fof(f85,plain,
( sk_c10 = inverse(sk_c5)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl4_5
<=> sk_c10 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f112,plain,
( sk_c10 = multiply(sk_c5,sk_c9)
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl4_11
<=> sk_c10 = multiply(sk_c5,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f924,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_12
| ~ spl4_21 ),
inference(superposition,[],[f876,f862]) ).
fof(f862,plain,
( identity = multiply(sk_c10,sk_c8)
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_21 ),
inference(backward_demodulation,[],[f423,f860]) ).
fof(f876,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c10,X0)) = X0
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_12
| ~ spl4_21 ),
inference(backward_demodulation,[],[f870,f874]) ).
fof(f874,plain,
( sk_c10 = sk_c7
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_12
| ~ spl4_21 ),
inference(forward_demodulation,[],[f872,f861]) ).
fof(f872,plain,
( sk_c7 = inverse(sk_c8)
| ~ spl4_1
| ~ spl4_4
| ~ spl4_12 ),
inference(backward_demodulation,[],[f66,f869]) ).
fof(f869,plain,
( sk_c8 = sk_c6
| ~ spl4_1
| ~ spl4_4
| ~ spl4_12 ),
inference(backward_demodulation,[],[f465,f853]) ).
fof(f853,plain,
( sk_c8 = multiply(inverse(sk_c7),identity)
| ~ spl4_1
| ~ spl4_4
| ~ spl4_12 ),
inference(backward_demodulation,[],[f815,f835]) ).
fof(f815,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c9)
| ~ spl4_12 ),
inference(superposition,[],[f234,f117]) ).
fof(f117,plain,
( sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f115,plain,
( spl4_12
<=> sk_c9 = multiply(sk_c7,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f465,plain,
( sk_c6 = multiply(inverse(sk_c7),identity)
| ~ spl4_1 ),
inference(superposition,[],[f234,f417]) ).
fof(f417,plain,
( identity = multiply(sk_c7,sk_c6)
| ~ spl4_1 ),
inference(superposition,[],[f2,f66]) ).
fof(f870,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl4_1
| ~ spl4_4
| ~ spl4_12 ),
inference(backward_demodulation,[],[f865,f869]) ).
fof(f865,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
| ~ spl4_1
| ~ spl4_4 ),
inference(forward_demodulation,[],[f851,f1]) ).
fof(f851,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| ~ spl4_1
| ~ spl4_4 ),
inference(backward_demodulation,[],[f809,f835]) ).
fof(f809,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| ~ spl4_4 ),
inference(superposition,[],[f3,f80]) ).
fof(f861,plain,
( sk_c10 = inverse(sk_c8)
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_21 ),
inference(backward_demodulation,[],[f163,f860]) ).
fof(f1060,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl4_1
| ~ spl4_4
| ~ spl4_10
| ~ spl4_14
| ~ spl4_21 ),
inference(trivial_inequality_removal,[],[f1059]) ).
fof(f1059,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c10)
| ~ spl4_1
| ~ spl4_4
| ~ spl4_10
| ~ spl4_14
| ~ spl4_21 ),
inference(superposition,[],[f1009,f856]) ).
fof(f856,plain,
( sk_c10 = multiply(sk_c10,identity)
| ~ spl4_1
| ~ spl4_4
| ~ spl4_14
| ~ spl4_21 ),
inference(backward_demodulation,[],[f819,f835]) ).
fof(f819,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl4_14
| ~ spl4_21 ),
inference(forward_demodulation,[],[f817,f163]) ).
fof(f817,plain,
( sk_c10 = multiply(inverse(sk_c4),sk_c9)
| ~ spl4_14 ),
inference(superposition,[],[f234,f127]) ).
fof(f127,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| ~ spl4_14 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl4_14
<=> sk_c9 = multiply(sk_c4,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
fof(f1009,plain,
( ! [X3] :
( sk_c10 != multiply(X3,identity)
| sk_c10 != inverse(X3) )
| ~ spl4_1
| ~ spl4_4
| ~ spl4_10 ),
inference(forward_demodulation,[],[f107,f835]) ).
fof(f107,plain,
( ! [X3] :
( sk_c10 != multiply(X3,sk_c9)
| sk_c10 != inverse(X3) )
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl4_10
<=> ! [X3] :
( sk_c10 != multiply(X3,sk_c9)
| sk_c10 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f1032,plain,
( ~ spl4_1
| spl4_2
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_7
| ~ spl4_11
| ~ spl4_12
| ~ spl4_21 ),
inference(avatar_contradiction_clause,[],[f1031]) ).
fof(f1031,plain,
( $false
| ~ spl4_1
| spl4_2
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_7
| ~ spl4_11
| ~ spl4_12
| ~ spl4_21 ),
inference(trivial_inequality_removal,[],[f1030]) ).
fof(f1030,plain,
( sk_c10 != sk_c10
| ~ spl4_1
| spl4_2
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_7
| ~ spl4_11
| ~ spl4_12
| ~ spl4_21 ),
inference(superposition,[],[f1022,f930]) ).
fof(f1022,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl4_1
| spl4_2
| ~ spl4_4
| ~ spl4_7 ),
inference(backward_demodulation,[],[f69,f1018]) ).
fof(f1018,plain,
( sk_c10 = sk_c1
| ~ spl4_1
| ~ spl4_4
| ~ spl4_7 ),
inference(superposition,[],[f972,f243]) ).
fof(f243,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f234,f2]) ).
fof(f972,plain,
( sk_c10 = multiply(inverse(inverse(sk_c1)),identity)
| ~ spl4_1
| ~ spl4_4
| ~ spl4_7 ),
inference(superposition,[],[f234,f846]) ).
fof(f846,plain,
( identity = multiply(inverse(sk_c1),sk_c10)
| ~ spl4_1
| ~ spl4_4
| ~ spl4_7 ),
inference(backward_demodulation,[],[f247,f835]) ).
fof(f247,plain,
( sk_c9 = multiply(inverse(sk_c1),sk_c10)
| ~ spl4_7 ),
inference(superposition,[],[f234,f94]) ).
fof(f94,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f92,plain,
( spl4_7
<=> sk_c10 = multiply(sk_c1,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f69,plain,
( sk_c10 != inverse(sk_c1)
| spl4_2 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl4_2
<=> sk_c10 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f1008,plain,
( ~ spl4_32
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_11
| ~ spl4_12
| ~ spl4_18
| ~ spl4_21 ),
inference(avatar_split_clause,[],[f1003,f161,f144,f115,f110,f83,f78,f73,f64,f986]) ).
fof(f986,plain,
( spl4_32
<=> identity = multiply(sk_c10,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_32])]) ).
fof(f144,plain,
( spl4_18
<=> ! [X4] :
( sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(inverse(X4),sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).
fof(f1003,plain,
( identity != multiply(sk_c10,sk_c10)
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_11
| ~ spl4_12
| ~ spl4_18
| ~ spl4_21 ),
inference(duplicate_literal_removal,[],[f999]) ).
fof(f999,plain,
( identity != multiply(sk_c10,sk_c10)
| identity != multiply(sk_c10,sk_c10)
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_11
| ~ spl4_12
| ~ spl4_18
| ~ spl4_21 ),
inference(superposition,[],[f995,f930]) ).
fof(f995,plain,
( ! [X4] :
( identity != multiply(inverse(X4),sk_c10)
| identity != multiply(X4,inverse(X4)) )
| ~ spl4_1
| ~ spl4_4
| ~ spl4_18 ),
inference(forward_demodulation,[],[f994,f835]) ).
fof(f994,plain,
( ! [X4] :
( sk_c9 != multiply(inverse(X4),sk_c10)
| identity != multiply(X4,inverse(X4)) )
| ~ spl4_1
| ~ spl4_4
| ~ spl4_18 ),
inference(forward_demodulation,[],[f145,f835]) ).
fof(f145,plain,
( ! [X4] :
( sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(inverse(X4),sk_c10) )
| ~ spl4_18 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f998,plain,
( ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_11
| ~ spl4_21
| spl4_32 ),
inference(avatar_contradiction_clause,[],[f997]) ).
fof(f997,plain,
( $false
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_11
| ~ spl4_21
| spl4_32 ),
inference(trivial_inequality_removal,[],[f996]) ).
fof(f996,plain,
( identity != identity
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_11
| ~ spl4_21
| spl4_32 ),
inference(superposition,[],[f988,f858]) ).
fof(f858,plain,
( identity = multiply(sk_c10,sk_c10)
| ~ spl4_1
| ~ spl4_4
| ~ spl4_5
| ~ spl4_11
| ~ spl4_21 ),
inference(backward_demodulation,[],[f822,f835]) ).
fof(f822,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl4_5
| ~ spl4_11
| ~ spl4_21 ),
inference(forward_demodulation,[],[f820,f163]) ).
fof(f820,plain,
( sk_c9 = multiply(inverse(sk_c4),sk_c10)
| ~ spl4_5
| ~ spl4_11
| ~ spl4_21 ),
inference(superposition,[],[f234,f799]) ).
fof(f988,plain,
( identity != multiply(sk_c10,sk_c10)
| spl4_32 ),
inference(avatar_component_clause,[],[f986]) ).
fof(f993,plain,
( ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_11
| ~ spl4_12
| ~ spl4_21
| ~ spl4_22 ),
inference(avatar_contradiction_clause,[],[f992]) ).
fof(f992,plain,
( $false
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_11
| ~ spl4_12
| ~ spl4_21
| ~ spl4_22 ),
inference(trivial_inequality_removal,[],[f991]) ).
fof(f991,plain,
( sk_c10 != sk_c10
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_11
| ~ spl4_12
| ~ spl4_21
| ~ spl4_22 ),
inference(superposition,[],[f990,f930]) ).
fof(f990,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_11
| ~ spl4_12
| ~ spl4_21
| ~ spl4_22 ),
inference(forward_demodulation,[],[f983,f930]) ).
fof(f983,plain,
( sk_c10 != inverse(inverse(sk_c10))
| ~ spl4_1
| ~ spl4_4
| ~ spl4_22 ),
inference(trivial_inequality_removal,[],[f977]) ).
fof(f977,plain,
( identity != identity
| sk_c10 != inverse(inverse(sk_c10))
| ~ spl4_1
| ~ spl4_4
| ~ spl4_22 ),
inference(superposition,[],[f971,f2]) ).
fof(f971,plain,
( ! [X6] :
( identity != multiply(X6,sk_c10)
| sk_c10 != inverse(X6) )
| ~ spl4_1
| ~ spl4_4
| ~ spl4_22 ),
inference(forward_demodulation,[],[f185,f835]) ).
fof(f185,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) )
| ~ spl4_22 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f184,plain,
( spl4_22
<=> ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).
fof(f968,plain,
( ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_11
| ~ spl4_12
| ~ spl4_20
| ~ spl4_21 ),
inference(avatar_contradiction_clause,[],[f967]) ).
fof(f967,plain,
( $false
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_11
| ~ spl4_12
| ~ spl4_20
| ~ spl4_21 ),
inference(trivial_inequality_removal,[],[f964]) ).
fof(f964,plain,
( identity != identity
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_11
| ~ spl4_12
| ~ spl4_20
| ~ spl4_21 ),
inference(superposition,[],[f958,f858]) ).
fof(f958,plain,
( identity != multiply(sk_c10,sk_c10)
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_11
| ~ spl4_12
| ~ spl4_20
| ~ spl4_21 ),
inference(forward_demodulation,[],[f957,f930]) ).
fof(f957,plain,
( identity != multiply(sk_c10,inverse(sk_c10))
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_11
| ~ spl4_12
| ~ spl4_20
| ~ spl4_21 ),
inference(trivial_inequality_removal,[],[f954]) ).
fof(f954,plain,
( identity != multiply(sk_c10,inverse(sk_c10))
| identity != identity
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_11
| ~ spl4_12
| ~ spl4_20
| ~ spl4_21 ),
inference(superposition,[],[f948,f2]) ).
fof(f948,plain,
( ! [X8] :
( identity != multiply(inverse(X8),sk_c10)
| identity != multiply(X8,inverse(X8)) )
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_11
| ~ spl4_12
| ~ spl4_20
| ~ spl4_21 ),
inference(forward_demodulation,[],[f947,f835]) ).
fof(f947,plain,
( ! [X8] :
( sk_c9 != multiply(inverse(X8),sk_c10)
| identity != multiply(X8,inverse(X8)) )
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_11
| ~ spl4_12
| ~ spl4_20
| ~ spl4_21 ),
inference(forward_demodulation,[],[f946,f927]) ).
fof(f946,plain,
( ! [X8] :
( sk_c9 != multiply(inverse(X8),sk_c8)
| identity != multiply(X8,inverse(X8)) )
| ~ spl4_1
| ~ spl4_4
| ~ spl4_20 ),
inference(forward_demodulation,[],[f155,f835]) ).
fof(f155,plain,
( ! [X8] :
( sk_c9 != multiply(X8,inverse(X8))
| sk_c9 != multiply(inverse(X8),sk_c8) )
| ~ spl4_20 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f154,plain,
( spl4_20
<=> ! [X8] :
( sk_c9 != multiply(inverse(X8),sk_c8)
| sk_c9 != multiply(X8,inverse(X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).
fof(f943,plain,
( ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| spl4_8
| ~ spl4_11
| ~ spl4_12
| ~ spl4_21 ),
inference(avatar_contradiction_clause,[],[f942]) ).
fof(f942,plain,
( $false
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| spl4_8
| ~ spl4_11
| ~ spl4_12
| ~ spl4_21 ),
inference(trivial_inequality_removal,[],[f941]) ).
fof(f941,plain,
( sk_c10 != sk_c10
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| spl4_8
| ~ spl4_11
| ~ spl4_12
| ~ spl4_21 ),
inference(superposition,[],[f894,f927]) ).
fof(f894,plain,
( sk_c10 != sk_c8
| ~ spl4_1
| ~ spl4_4
| spl4_8 ),
inference(forward_demodulation,[],[f840,f1]) ).
fof(f840,plain,
( sk_c8 != multiply(identity,sk_c10)
| ~ spl4_1
| ~ spl4_4
| spl4_8 ),
inference(backward_demodulation,[],[f98,f835]) ).
fof(f98,plain,
( multiply(sk_c9,sk_c10) != sk_c8
| spl4_8 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl4_8
<=> multiply(sk_c9,sk_c10) = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f795,plain,
( ~ spl4_3
| ~ spl4_5
| ~ spl4_6
| spl4_8
| ~ spl4_11
| ~ spl4_14
| ~ spl4_15
| ~ spl4_21 ),
inference(avatar_contradiction_clause,[],[f794]) ).
fof(f794,plain,
( $false
| ~ spl4_3
| ~ spl4_5
| ~ spl4_6
| spl4_8
| ~ spl4_11
| ~ spl4_14
| ~ spl4_15
| ~ spl4_21 ),
inference(trivial_inequality_removal,[],[f793]) ).
fof(f793,plain,
( sk_c10 != sk_c10
| ~ spl4_3
| ~ spl4_5
| ~ spl4_6
| spl4_8
| ~ spl4_11
| ~ spl4_14
| ~ spl4_15
| ~ spl4_21 ),
inference(superposition,[],[f718,f771]) ).
fof(f771,plain,
( sk_c10 = sk_c8
| ~ spl4_3
| ~ spl4_5
| ~ spl4_6
| ~ spl4_11
| ~ spl4_14
| ~ spl4_15
| ~ spl4_21 ),
inference(forward_demodulation,[],[f752,f432]) ).
fof(f432,plain,
( sk_c10 = multiply(sk_c10,identity)
| ~ spl4_6
| ~ spl4_14
| ~ spl4_15
| ~ spl4_21 ),
inference(forward_demodulation,[],[f430,f163]) ).
fof(f430,plain,
( sk_c10 = multiply(inverse(sk_c4),identity)
| ~ spl4_6
| ~ spl4_14
| ~ spl4_15 ),
inference(superposition,[],[f234,f399]) ).
fof(f399,plain,
( identity = multiply(sk_c4,sk_c10)
| ~ spl4_6
| ~ spl4_14
| ~ spl4_15 ),
inference(forward_demodulation,[],[f127,f265]) ).
fof(f265,plain,
( identity = sk_c9
| ~ spl4_6
| ~ spl4_15 ),
inference(forward_demodulation,[],[f263,f2]) ).
fof(f263,plain,
( sk_c9 = multiply(inverse(sk_c3),sk_c3)
| ~ spl4_6
| ~ spl4_15 ),
inference(superposition,[],[f234,f254]) ).
fof(f254,plain,
( sk_c3 = multiply(sk_c3,sk_c9)
| ~ spl4_6
| ~ spl4_15 ),
inference(forward_demodulation,[],[f248,f132]) ).
fof(f132,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl4_15 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f130,plain,
( spl4_15
<=> sk_c3 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
fof(f248,plain,
( sk_c3 = multiply(inverse(sk_c2),sk_c9)
| ~ spl4_6 ),
inference(superposition,[],[f234,f89]) ).
fof(f89,plain,
( sk_c9 = multiply(sk_c2,sk_c3)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f87,plain,
( spl4_6
<=> sk_c9 = multiply(sk_c2,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f752,plain,
( sk_c8 = multiply(sk_c10,identity)
| ~ spl4_3
| ~ spl4_5
| ~ spl4_6
| ~ spl4_11
| ~ spl4_15 ),
inference(superposition,[],[f437,f716]) ).
fof(f716,plain,
( identity = multiply(sk_c10,sk_c8)
| ~ spl4_3
| ~ spl4_6
| ~ spl4_15 ),
inference(forward_demodulation,[],[f75,f265]) ).
fof(f437,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c10,X0)) = X0
| ~ spl4_5
| ~ spl4_6
| ~ spl4_11
| ~ spl4_15 ),
inference(backward_demodulation,[],[f418,f436]) ).
fof(f436,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c5,X0)
| ~ spl4_6
| ~ spl4_11
| ~ spl4_15 ),
inference(forward_demodulation,[],[f435,f1]) ).
fof(f435,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c5,multiply(identity,X0))
| ~ spl4_6
| ~ spl4_11
| ~ spl4_15 ),
inference(superposition,[],[f3,f400]) ).
fof(f400,plain,
( sk_c10 = multiply(sk_c5,identity)
| ~ spl4_6
| ~ spl4_11
| ~ spl4_15 ),
inference(forward_demodulation,[],[f112,f265]) ).
fof(f418,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c5,X0)) = X0
| ~ spl4_5 ),
inference(superposition,[],[f234,f85]) ).
fof(f718,plain,
( sk_c10 != sk_c8
| ~ spl4_6
| spl4_8
| ~ spl4_15 ),
inference(forward_demodulation,[],[f717,f1]) ).
fof(f717,plain,
( sk_c8 != multiply(identity,sk_c10)
| ~ spl4_6
| spl4_8
| ~ spl4_15 ),
inference(forward_demodulation,[],[f98,f265]) ).
fof(f538,plain,
( ~ spl4_2
| ~ spl4_6
| ~ spl4_7
| ~ spl4_15
| ~ spl4_22 ),
inference(avatar_contradiction_clause,[],[f537]) ).
fof(f537,plain,
( $false
| ~ spl4_2
| ~ spl4_6
| ~ spl4_7
| ~ spl4_15
| ~ spl4_22 ),
inference(trivial_inequality_removal,[],[f536]) ).
fof(f536,plain,
( sk_c10 != sk_c10
| ~ spl4_2
| ~ spl4_6
| ~ spl4_7
| ~ spl4_15
| ~ spl4_22 ),
inference(superposition,[],[f534,f406]) ).
fof(f406,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl4_2
| ~ spl4_6
| ~ spl4_7
| ~ spl4_15 ),
inference(forward_demodulation,[],[f70,f401]) ).
fof(f401,plain,
( sk_c10 = sk_c1
| ~ spl4_2
| ~ spl4_6
| ~ spl4_7
| ~ spl4_15 ),
inference(forward_demodulation,[],[f246,f331]) ).
fof(f331,plain,
( sk_c10 = multiply(inverse(sk_c10),identity)
| ~ spl4_2
| ~ spl4_6
| ~ spl4_7
| ~ spl4_15 ),
inference(superposition,[],[f234,f277]) ).
fof(f277,plain,
( identity = multiply(sk_c10,sk_c10)
| ~ spl4_2
| ~ spl4_6
| ~ spl4_7
| ~ spl4_15 ),
inference(backward_demodulation,[],[f252,f265]) ).
fof(f252,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl4_2
| ~ spl4_7 ),
inference(forward_demodulation,[],[f247,f70]) ).
fof(f246,plain,
( sk_c1 = multiply(inverse(sk_c10),identity)
| ~ spl4_2 ),
inference(superposition,[],[f234,f200]) ).
fof(f200,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl4_2 ),
inference(superposition,[],[f2,f70]) ).
fof(f70,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f534,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl4_2
| ~ spl4_6
| ~ spl4_7
| ~ spl4_15
| ~ spl4_22 ),
inference(trivial_inequality_removal,[],[f532]) ).
fof(f532,plain,
( sk_c10 != inverse(sk_c10)
| identity != identity
| ~ spl4_2
| ~ spl4_6
| ~ spl4_7
| ~ spl4_15
| ~ spl4_22 ),
inference(superposition,[],[f527,f277]) ).
fof(f527,plain,
( ! [X6] :
( identity != multiply(X6,sk_c10)
| sk_c10 != inverse(X6) )
| ~ spl4_6
| ~ spl4_15
| ~ spl4_22 ),
inference(forward_demodulation,[],[f185,f265]) ).
fof(f526,plain,
( ~ spl4_2
| ~ spl4_6
| ~ spl4_7
| ~ spl4_8
| ~ spl4_15
| ~ spl4_20 ),
inference(avatar_contradiction_clause,[],[f525]) ).
fof(f525,plain,
( $false
| ~ spl4_2
| ~ spl4_6
| ~ spl4_7
| ~ spl4_8
| ~ spl4_15
| ~ spl4_20 ),
inference(trivial_inequality_removal,[],[f524]) ).
fof(f524,plain,
( identity != identity
| ~ spl4_2
| ~ spl4_6
| ~ spl4_7
| ~ spl4_8
| ~ spl4_15
| ~ spl4_20 ),
inference(superposition,[],[f523,f277]) ).
fof(f523,plain,
( identity != multiply(sk_c10,sk_c10)
| ~ spl4_2
| ~ spl4_6
| ~ spl4_7
| ~ spl4_8
| ~ spl4_15
| ~ spl4_20 ),
inference(forward_demodulation,[],[f522,f406]) ).
fof(f522,plain,
( identity != multiply(sk_c10,inverse(sk_c10))
| ~ spl4_6
| ~ spl4_8
| ~ spl4_15
| ~ spl4_20 ),
inference(trivial_inequality_removal,[],[f519]) ).
fof(f519,plain,
( identity != identity
| identity != multiply(sk_c10,inverse(sk_c10))
| ~ spl4_6
| ~ spl4_8
| ~ spl4_15
| ~ spl4_20 ),
inference(superposition,[],[f512,f2]) ).
fof(f512,plain,
( ! [X8] :
( identity != multiply(inverse(X8),sk_c10)
| identity != multiply(X8,inverse(X8)) )
| ~ spl4_6
| ~ spl4_8
| ~ spl4_15
| ~ spl4_20 ),
inference(forward_demodulation,[],[f511,f265]) ).
fof(f511,plain,
( ! [X8] :
( identity != multiply(X8,inverse(X8))
| sk_c9 != multiply(inverse(X8),sk_c10) )
| ~ spl4_6
| ~ spl4_8
| ~ spl4_15
| ~ spl4_20 ),
inference(forward_demodulation,[],[f510,f265]) ).
fof(f510,plain,
( ! [X8] :
( sk_c9 != multiply(X8,inverse(X8))
| sk_c9 != multiply(inverse(X8),sk_c10) )
| ~ spl4_6
| ~ spl4_8
| ~ spl4_15
| ~ spl4_20 ),
inference(forward_demodulation,[],[f155,f317]) ).
fof(f317,plain,
( sk_c10 = sk_c8
| ~ spl4_6
| ~ spl4_8
| ~ spl4_15 ),
inference(forward_demodulation,[],[f269,f1]) ).
fof(f269,plain,
( sk_c8 = multiply(identity,sk_c10)
| ~ spl4_6
| ~ spl4_8
| ~ spl4_15 ),
inference(backward_demodulation,[],[f99,f265]) ).
fof(f99,plain,
( multiply(sk_c9,sk_c10) = sk_c8
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f509,plain,
( ~ spl4_2
| ~ spl4_6
| ~ spl4_7
| ~ spl4_15
| ~ spl4_18 ),
inference(avatar_contradiction_clause,[],[f508]) ).
fof(f508,plain,
( $false
| ~ spl4_2
| ~ spl4_6
| ~ spl4_7
| ~ spl4_15
| ~ spl4_18 ),
inference(trivial_inequality_removal,[],[f507]) ).
fof(f507,plain,
( identity != identity
| ~ spl4_2
| ~ spl4_6
| ~ spl4_7
| ~ spl4_15
| ~ spl4_18 ),
inference(superposition,[],[f454,f277]) ).
fof(f454,plain,
( identity != multiply(sk_c10,sk_c10)
| ~ spl4_2
| ~ spl4_6
| ~ spl4_7
| ~ spl4_15
| ~ spl4_18 ),
inference(duplicate_literal_removal,[],[f446]) ).
fof(f446,plain,
( identity != multiply(sk_c10,sk_c10)
| identity != multiply(sk_c10,sk_c10)
| ~ spl4_2
| ~ spl4_6
| ~ spl4_7
| ~ spl4_15
| ~ spl4_18 ),
inference(superposition,[],[f410,f406]) ).
fof(f410,plain,
( ! [X4] :
( identity != multiply(inverse(X4),sk_c10)
| identity != multiply(X4,inverse(X4)) )
| ~ spl4_6
| ~ spl4_15
| ~ spl4_18 ),
inference(forward_demodulation,[],[f409,f265]) ).
fof(f409,plain,
( ! [X4] :
( sk_c9 != multiply(inverse(X4),sk_c10)
| identity != multiply(X4,inverse(X4)) )
| ~ spl4_6
| ~ spl4_15
| ~ spl4_18 ),
inference(forward_demodulation,[],[f145,f265]) ).
fof(f371,plain,
( ~ spl4_2
| ~ spl4_6
| ~ spl4_7
| ~ spl4_8
| ~ spl4_13
| ~ spl4_15
| ~ spl4_20 ),
inference(avatar_contradiction_clause,[],[f370]) ).
fof(f370,plain,
( $false
| ~ spl4_2
| ~ spl4_6
| ~ spl4_7
| ~ spl4_8
| ~ spl4_13
| ~ spl4_15
| ~ spl4_20 ),
inference(trivial_inequality_removal,[],[f369]) ).
fof(f369,plain,
( identity != identity
| ~ spl4_2
| ~ spl4_6
| ~ spl4_7
| ~ spl4_8
| ~ spl4_13
| ~ spl4_15
| ~ spl4_20 ),
inference(superposition,[],[f363,f277]) ).
fof(f363,plain,
( identity != multiply(sk_c10,sk_c10)
| ~ spl4_2
| ~ spl4_6
| ~ spl4_7
| ~ spl4_8
| ~ spl4_13
| ~ spl4_15
| ~ spl4_20 ),
inference(forward_demodulation,[],[f362,f308]) ).
fof(f308,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl4_2
| ~ spl4_6
| ~ spl4_7
| ~ spl4_13
| ~ spl4_15 ),
inference(backward_demodulation,[],[f70,f307]) ).
fof(f307,plain,
( sk_c10 = sk_c1
| ~ spl4_2
| ~ spl4_6
| ~ spl4_7
| ~ spl4_13
| ~ spl4_15 ),
inference(backward_demodulation,[],[f303,f306]) ).
fof(f306,plain,
( sk_c10 = multiply(sk_c1,identity)
| ~ spl4_2
| ~ spl4_6
| ~ spl4_7
| ~ spl4_13
| ~ spl4_15 ),
inference(forward_demodulation,[],[f282,f302]) ).
fof(f302,plain,
( sk_c1 = inverse(sk_c10)
| ~ spl4_2
| ~ spl4_6
| ~ spl4_13
| ~ spl4_15 ),
inference(backward_demodulation,[],[f293,f296]) ).
fof(f296,plain,
( sk_c1 = sk_c3
| ~ spl4_2
| ~ spl4_6
| ~ spl4_13
| ~ spl4_15 ),
inference(forward_demodulation,[],[f278,f294]) ).
fof(f294,plain,
( sk_c1 = multiply(sk_c3,identity)
| ~ spl4_2
| ~ spl4_6
| ~ spl4_13
| ~ spl4_15 ),
inference(backward_demodulation,[],[f246,f293]) ).
fof(f278,plain,
( sk_c3 = multiply(sk_c3,identity)
| ~ spl4_6
| ~ spl4_15 ),
inference(backward_demodulation,[],[f254,f265]) ).
fof(f293,plain,
( sk_c3 = inverse(sk_c10)
| ~ spl4_6
| ~ spl4_13
| ~ spl4_15 ),
inference(backward_demodulation,[],[f132,f288]) ).
fof(f288,plain,
( sk_c10 = sk_c2
| ~ spl4_6
| ~ spl4_13
| ~ spl4_15 ),
inference(backward_demodulation,[],[f250,f276]) ).
fof(f276,plain,
( sk_c10 = multiply(inverse(sk_c3),identity)
| ~ spl4_6
| ~ spl4_13
| ~ spl4_15 ),
inference(backward_demodulation,[],[f249,f265]) ).
fof(f249,plain,
( sk_c10 = multiply(inverse(sk_c3),sk_c9)
| ~ spl4_13 ),
inference(superposition,[],[f234,f123]) ).
fof(f123,plain,
( sk_c9 = multiply(sk_c3,sk_c10)
| ~ spl4_13 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f121,plain,
( spl4_13
<=> sk_c9 = multiply(sk_c3,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).
fof(f250,plain,
( sk_c2 = multiply(inverse(sk_c3),identity)
| ~ spl4_15 ),
inference(superposition,[],[f234,f201]) ).
fof(f201,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl4_15 ),
inference(superposition,[],[f2,f132]) ).
fof(f282,plain,
( sk_c10 = multiply(inverse(sk_c10),identity)
| ~ spl4_2
| ~ spl4_6
| ~ spl4_7
| ~ spl4_15 ),
inference(backward_demodulation,[],[f261,f265]) ).
fof(f261,plain,
( sk_c10 = multiply(inverse(sk_c10),sk_c9)
| ~ spl4_2
| ~ spl4_7 ),
inference(superposition,[],[f234,f252]) ).
fof(f303,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl4_2
| ~ spl4_6
| ~ spl4_13
| ~ spl4_15 ),
inference(backward_demodulation,[],[f294,f296]) ).
fof(f362,plain,
( identity != multiply(sk_c10,inverse(sk_c10))
| ~ spl4_6
| ~ spl4_8
| ~ spl4_15
| ~ spl4_20 ),
inference(trivial_inequality_removal,[],[f359]) ).
fof(f359,plain,
( identity != multiply(sk_c10,inverse(sk_c10))
| identity != identity
| ~ spl4_6
| ~ spl4_8
| ~ spl4_15
| ~ spl4_20 ),
inference(superposition,[],[f351,f2]) ).
fof(f351,plain,
( ! [X8] :
( identity != multiply(inverse(X8),sk_c10)
| identity != multiply(X8,inverse(X8)) )
| ~ spl4_6
| ~ spl4_8
| ~ spl4_15
| ~ spl4_20 ),
inference(forward_demodulation,[],[f350,f265]) ).
fof(f350,plain,
( ! [X8] :
( sk_c9 != multiply(inverse(X8),sk_c10)
| identity != multiply(X8,inverse(X8)) )
| ~ spl4_6
| ~ spl4_8
| ~ spl4_15
| ~ spl4_20 ),
inference(forward_demodulation,[],[f349,f317]) ).
fof(f349,plain,
( ! [X8] :
( sk_c9 != multiply(inverse(X8),sk_c8)
| identity != multiply(X8,inverse(X8)) )
| ~ spl4_6
| ~ spl4_15
| ~ spl4_20 ),
inference(forward_demodulation,[],[f155,f265]) ).
fof(f334,plain,
( ~ spl4_2
| spl4_3
| ~ spl4_6
| ~ spl4_7
| ~ spl4_8
| ~ spl4_15 ),
inference(avatar_contradiction_clause,[],[f333]) ).
fof(f333,plain,
( $false
| ~ spl4_2
| spl4_3
| ~ spl4_6
| ~ spl4_7
| ~ spl4_8
| ~ spl4_15 ),
inference(trivial_inequality_removal,[],[f330]) ).
fof(f330,plain,
( identity != identity
| ~ spl4_2
| spl4_3
| ~ spl4_6
| ~ spl4_7
| ~ spl4_8
| ~ spl4_15 ),
inference(superposition,[],[f319,f277]) ).
fof(f319,plain,
( identity != multiply(sk_c10,sk_c10)
| spl4_3
| ~ spl4_6
| ~ spl4_8
| ~ spl4_15 ),
inference(backward_demodulation,[],[f266,f317]) ).
fof(f266,plain,
( identity != multiply(sk_c10,sk_c8)
| spl4_3
| ~ spl4_6
| ~ spl4_15 ),
inference(backward_demodulation,[],[f74,f265]) ).
fof(f74,plain,
( sk_c9 != multiply(sk_c10,sk_c8)
| spl4_3 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f206,plain,
( ~ spl4_2
| ~ spl4_7
| ~ spl4_10 ),
inference(avatar_split_clause,[],[f205,f106,f92,f68]) ).
fof(f205,plain,
( sk_c10 != inverse(sk_c1)
| ~ spl4_7
| ~ spl4_10 ),
inference(trivial_inequality_removal,[],[f204]) ).
fof(f204,plain,
( sk_c10 != inverse(sk_c1)
| sk_c10 != sk_c10
| ~ spl4_7
| ~ spl4_10 ),
inference(superposition,[],[f107,f94]) ).
fof(f199,plain,
( spl4_17
| spl4_10 ),
inference(avatar_split_clause,[],[f61,f106,f140]) ).
fof(f140,plain,
( spl4_17
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
fof(f61,plain,
! [X7] :
( sk_c10 != multiply(X7,sk_c9)
| sP3
| sk_c10 != inverse(X7) ),
inference(cnf_transformation,[],[f61_D]) ).
fof(f61_D,plain,
( ! [X7] :
( sk_c10 != multiply(X7,sk_c9)
| sk_c10 != inverse(X7) )
<=> ~ sP3 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f198,plain,
( spl4_15
| spl4_1 ),
inference(avatar_split_clause,[],[f42,f64,f130]) ).
fof(f42,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f197,plain,
( spl4_7
| spl4_14 ),
inference(avatar_split_clause,[],[f20,f125,f92]) ).
fof(f20,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f195,plain,
( spl4_8
| spl4_14 ),
inference(avatar_split_clause,[],[f4,f125,f97]) ).
fof(f4,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| multiply(sk_c9,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f194,plain,
( spl4_12
| spl4_7 ),
inference(avatar_split_clause,[],[f27,f92,f115]) ).
fof(f27,axiom,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c9 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f193,plain,
( spl4_15
| spl4_14 ),
inference(avatar_split_clause,[],[f36,f125,f130]) ).
fof(f36,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f192,plain,
( spl4_11
| spl4_2 ),
inference(avatar_split_clause,[],[f16,f68,f110]) ).
fof(f16,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c10 = multiply(sk_c5,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f189,plain,
( spl4_15
| spl4_21 ),
inference(avatar_split_clause,[],[f37,f161,f130]) ).
fof(f37,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f188,plain,
( spl4_3
| spl4_6 ),
inference(avatar_split_clause,[],[f30,f87,f73]) ).
fof(f30,axiom,
( sk_c9 = multiply(sk_c2,sk_c3)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f187,plain,
( spl4_11
| spl4_13 ),
inference(avatar_split_clause,[],[f48,f121,f110]) ).
fof(f48,axiom,
( sk_c9 = multiply(sk_c3,sk_c10)
| sk_c10 = multiply(sk_c5,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
fof(f186,plain,
( spl4_19
| spl4_22 ),
inference(avatar_split_clause,[],[f59,f184,f147]) ).
fof(f147,plain,
( spl4_19
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).
fof(f59,plain,
! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10)
| sP2 ),
inference(cnf_transformation,[],[f59_D]) ).
fof(f59_D,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f182,plain,
( spl4_11
| spl4_6 ),
inference(avatar_split_clause,[],[f32,f87,f110]) ).
fof(f32,axiom,
( sk_c9 = multiply(sk_c2,sk_c3)
| sk_c10 = multiply(sk_c5,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f181,plain,
( spl4_4
| spl4_8 ),
inference(avatar_split_clause,[],[f9,f97,f78]) ).
fof(f9,axiom,
( multiply(sk_c9,sk_c10) = sk_c8
| sk_c9 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f180,plain,
( spl4_1
| spl4_13 ),
inference(avatar_split_clause,[],[f50,f121,f64]) ).
fof(f50,axiom,
( sk_c9 = multiply(sk_c3,sk_c10)
| sk_c7 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
fof(f178,plain,
( spl4_15
| spl4_5 ),
inference(avatar_split_clause,[],[f39,f83,f130]) ).
fof(f39,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f177,plain,
( spl4_12
| spl4_15 ),
inference(avatar_split_clause,[],[f43,f130,f115]) ).
fof(f43,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c9 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f175,plain,
( spl4_1
| spl4_6 ),
inference(avatar_split_clause,[],[f34,f87,f64]) ).
fof(f34,axiom,
( sk_c9 = multiply(sk_c2,sk_c3)
| sk_c7 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f174,plain,
( spl4_2
| spl4_21 ),
inference(avatar_split_clause,[],[f13,f161,f68]) ).
fof(f13,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f173,plain,
( spl4_21
| spl4_6 ),
inference(avatar_split_clause,[],[f29,f87,f161]) ).
fof(f29,axiom,
( sk_c9 = multiply(sk_c2,sk_c3)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f171,plain,
( spl4_7
| spl4_4 ),
inference(avatar_split_clause,[],[f25,f78,f92]) ).
fof(f25,axiom,
( sk_c9 = multiply(sk_c6,sk_c7)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f170,plain,
( spl4_21
| spl4_8 ),
inference(avatar_split_clause,[],[f5,f97,f161]) ).
fof(f5,axiom,
( multiply(sk_c9,sk_c10) = sk_c8
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f169,plain,
( spl4_3
| spl4_8 ),
inference(avatar_split_clause,[],[f6,f97,f73]) ).
fof(f6,axiom,
( multiply(sk_c9,sk_c10) = sk_c8
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f168,plain,
( spl4_11
| spl4_15 ),
inference(avatar_split_clause,[],[f40,f130,f110]) ).
fof(f40,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c10 = multiply(sk_c5,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f167,plain,
( spl4_15
| spl4_3 ),
inference(avatar_split_clause,[],[f38,f73,f130]) ).
fof(f38,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f166,plain,
( spl4_5
| spl4_2 ),
inference(avatar_split_clause,[],[f15,f68,f83]) ).
fof(f15,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c10 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f165,plain,
( spl4_1
| spl4_7 ),
inference(avatar_split_clause,[],[f26,f92,f64]) ).
fof(f26,axiom,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c7 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f164,plain,
( spl4_7
| spl4_21 ),
inference(avatar_split_clause,[],[f21,f161,f92]) ).
fof(f21,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f159,plain,
( spl4_7
| spl4_5 ),
inference(avatar_split_clause,[],[f23,f83,f92]) ).
fof(f23,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f158,plain,
( spl4_2
| spl4_12 ),
inference(avatar_split_clause,[],[f19,f115,f68]) ).
fof(f19,axiom,
( sk_c9 = multiply(sk_c7,sk_c8)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f156,plain,
( spl4_20
| spl4_16 ),
inference(avatar_split_clause,[],[f57,f136,f154]) ).
fof(f136,plain,
( spl4_16
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).
fof(f57,plain,
! [X8] :
( sP1
| sk_c9 != multiply(inverse(X8),sk_c8)
| sk_c9 != multiply(X8,inverse(X8)) ),
inference(cnf_transformation,[],[f57_D]) ).
fof(f57_D,plain,
( ! [X8] :
( sk_c9 != multiply(inverse(X8),sk_c8)
| sk_c9 != multiply(X8,inverse(X8)) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f151,plain,
( spl4_6
| spl4_4 ),
inference(avatar_split_clause,[],[f33,f78,f87]) ).
fof(f33,axiom,
( sk_c9 = multiply(sk_c6,sk_c7)
| sk_c9 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f150,plain,
( ~ spl4_16
| ~ spl4_17
| ~ spl4_8
| ~ spl4_9
| ~ spl4_3
| spl4_18
| ~ spl4_19 ),
inference(avatar_split_clause,[],[f62,f147,f144,f73,f102,f97,f140,f136]) ).
fof(f102,plain,
( spl4_9
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f62,plain,
! [X4] :
( ~ sP2
| sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(inverse(X4),sk_c10)
| sk_c9 != multiply(sk_c10,sk_c8)
| ~ sP0
| multiply(sk_c9,sk_c10) != sk_c8
| ~ sP3
| ~ sP1 ),
inference(general_splitting,[],[f60,f61_D]) ).
fof(f60,plain,
! [X7,X4] :
( sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(sk_c10,sk_c8)
| multiply(sk_c9,sk_c10) != sk_c8
| sk_c10 != multiply(X7,sk_c9)
| sk_c10 != inverse(X7)
| sk_c9 != multiply(inverse(X4),sk_c10)
| ~ sP0
| ~ sP1
| ~ sP2 ),
inference(general_splitting,[],[f58,f59_D]) ).
fof(f58,plain,
! [X6,X7,X4] :
( sk_c9 != multiply(X4,inverse(X4))
| sk_c10 != inverse(X6)
| sk_c9 != multiply(sk_c10,sk_c8)
| multiply(sk_c9,sk_c10) != sk_c8
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != multiply(X7,sk_c9)
| sk_c10 != inverse(X7)
| sk_c9 != multiply(inverse(X4),sk_c10)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f56,f57_D]) ).
fof(f56,plain,
! [X8,X6,X7,X4] :
( sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(inverse(X8),sk_c8)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(X8,inverse(X8))
| sk_c9 != multiply(sk_c10,sk_c8)
| multiply(sk_c9,sk_c10) != sk_c8
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != multiply(X7,sk_c9)
| sk_c10 != inverse(X7)
| sk_c9 != multiply(inverse(X4),sk_c10)
| ~ sP0 ),
inference(general_splitting,[],[f54,f55_D]) ).
fof(f55,plain,
! [X3] :
( sk_c10 != multiply(X3,sk_c9)
| sP0
| sk_c10 != inverse(X3) ),
inference(cnf_transformation,[],[f55_D]) ).
fof(f55_D,plain,
( ! [X3] :
( sk_c10 != multiply(X3,sk_c9)
| sk_c10 != inverse(X3) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f54,plain,
! [X3,X8,X6,X7,X4] :
( sk_c10 != multiply(X3,sk_c9)
| sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(inverse(X8),sk_c8)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(X8,inverse(X8))
| sk_c9 != multiply(sk_c10,sk_c8)
| multiply(sk_c9,sk_c10) != sk_c8
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != multiply(X7,sk_c9)
| sk_c10 != inverse(X7)
| sk_c9 != multiply(inverse(X4),sk_c10)
| sk_c10 != inverse(X3) ),
inference(equality_resolution,[],[f53]) ).
fof(f53,plain,
! [X3,X8,X6,X9,X7,X4] :
( inverse(X8) != X9
| sk_c10 != multiply(X3,sk_c9)
| sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(X9,sk_c8)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(X8,X9)
| sk_c9 != multiply(sk_c10,sk_c8)
| multiply(sk_c9,sk_c10) != sk_c8
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != multiply(X7,sk_c9)
| sk_c10 != inverse(X7)
| sk_c9 != multiply(inverse(X4),sk_c10)
| sk_c10 != inverse(X3) ),
inference(equality_resolution,[],[f52]) ).
fof(f52,axiom,
! [X3,X8,X6,X9,X7,X4,X5] :
( inverse(X4) != X5
| inverse(X8) != X9
| sk_c10 != multiply(X3,sk_c9)
| sk_c9 != multiply(X4,X5)
| sk_c9 != multiply(X9,sk_c8)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(X8,X9)
| sk_c9 != multiply(sk_c10,sk_c8)
| multiply(sk_c9,sk_c10) != sk_c8
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != multiply(X7,sk_c9)
| sk_c10 != inverse(X7)
| sk_c9 != multiply(X5,sk_c10)
| sk_c10 != inverse(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f134,plain,
( spl4_6
| spl4_14 ),
inference(avatar_split_clause,[],[f28,f125,f87]) ).
fof(f28,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| sk_c9 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f133,plain,
( spl4_15
| spl4_4 ),
inference(avatar_split_clause,[],[f41,f78,f130]) ).
fof(f41,axiom,
( sk_c9 = multiply(sk_c6,sk_c7)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f119,plain,
( spl4_7
| spl4_11 ),
inference(avatar_split_clause,[],[f24,f110,f92]) ).
fof(f24,axiom,
( sk_c10 = multiply(sk_c5,sk_c9)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f118,plain,
( spl4_6
| spl4_12 ),
inference(avatar_split_clause,[],[f35,f115,f87]) ).
fof(f35,axiom,
( sk_c9 = multiply(sk_c7,sk_c8)
| sk_c9 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f113,plain,
( spl4_11
| spl4_8 ),
inference(avatar_split_clause,[],[f8,f97,f110]) ).
fof(f8,axiom,
( multiply(sk_c9,sk_c10) = sk_c8
| sk_c10 = multiply(sk_c5,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f108,plain,
( spl4_9
| spl4_10 ),
inference(avatar_split_clause,[],[f55,f106,f102]) ).
fof(f100,plain,
( spl4_8
| spl4_5 ),
inference(avatar_split_clause,[],[f7,f83,f97]) ).
fof(f7,axiom,
( sk_c10 = inverse(sk_c5)
| multiply(sk_c9,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f95,plain,
( spl4_3
| spl4_7 ),
inference(avatar_split_clause,[],[f22,f92,f73]) ).
fof(f22,axiom,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f90,plain,
( spl4_5
| spl4_6 ),
inference(avatar_split_clause,[],[f31,f87,f83]) ).
fof(f31,axiom,
( sk_c9 = multiply(sk_c2,sk_c3)
| sk_c10 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f81,plain,
( spl4_2
| spl4_4 ),
inference(avatar_split_clause,[],[f17,f78,f68]) ).
fof(f17,axiom,
( sk_c9 = multiply(sk_c6,sk_c7)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f76,plain,
( spl4_3
| spl4_2 ),
inference(avatar_split_clause,[],[f14,f68,f73]) ).
fof(f14,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f71,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f18,f68,f64]) ).
fof(f18,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c7 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP336-1 : 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
% 0.13/0.34 % Computer : n027.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 22:40:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.54 % (29550)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)
% 0.19/0.55 % (29542)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)
% 0.19/0.55 % (29547)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)
% 0.19/0.56 % (29558)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.56 % (29543)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)
% 0.19/0.57 % (29564)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)
% 0.19/0.57 % (29559)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.57 % (29556)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)
% 0.19/0.57 % (29549)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.57 % (29549)Instruction limit reached!
% 0.19/0.57 % (29549)------------------------------
% 0.19/0.57 % (29549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (29549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (29549)Termination reason: Unknown
% 0.19/0.57 % (29549)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (29549)Memory used [KB]: 5373
% 0.19/0.57 % (29549)Time elapsed: 0.003 s
% 0.19/0.57 % (29549)Instructions burned: 3 (million)
% 0.19/0.57 % (29549)------------------------------
% 0.19/0.57 % (29549)------------------------------
% 0.19/0.58 TRYING [1]
% 0.19/0.58 TRYING [2]
% 0.19/0.58 % (29551)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.58 TRYING [3]
% 0.19/0.58 % (29546)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)
% 0.19/0.58 % (29545)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.58 % (29544)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)
% 0.19/0.59 % (29541)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)
% 0.19/0.59 % (29563)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)
% 0.19/0.59 % (29548)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.59 % (29555)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)
% 0.19/0.59 % (29568)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)
% 0.19/0.59 % (29562)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.59 % (29561)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)
% 0.19/0.60 TRYING [1]
% 0.19/0.60 TRYING [2]
% 0.19/0.60 % (29553)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.60 % (29567)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.60 TRYING [3]
% 0.19/0.60 % (29569)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)
% 0.19/0.60 % (29571)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)
% 0.19/0.60 % (29557)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)
% 0.19/0.60 % (29570)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.90/0.61 % (29565)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.90/0.61 % (29548)Instruction limit reached!
% 1.90/0.61 % (29548)------------------------------
% 1.90/0.61 % (29548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.61 % (29548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.61 % (29548)Termination reason: Unknown
% 1.90/0.61 % (29548)Termination phase: Saturation
% 1.90/0.61
% 1.90/0.61 % (29548)Memory used [KB]: 5500
% 1.90/0.61 % (29548)Time elapsed: 0.122 s
% 1.90/0.61 % (29548)Instructions burned: 7 (million)
% 1.90/0.61 % (29548)------------------------------
% 1.90/0.61 % (29548)------------------------------
% 1.90/0.61 TRYING [1]
% 1.90/0.61 TRYING [2]
% 1.90/0.62 TRYING [3]
% 1.90/0.62 % (29543)Instruction limit reached!
% 1.90/0.62 % (29543)------------------------------
% 1.90/0.62 % (29543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.62 % (29552)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)
% 1.90/0.62 % (29543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.62 % (29543)Termination reason: Unknown
% 1.90/0.62 % (29543)Termination phase: Saturation
% 1.90/0.62
% 1.90/0.62 % (29543)Memory used [KB]: 1151
% 1.90/0.62 % (29543)Time elapsed: 0.196 s
% 1.90/0.62 % (29543)Instructions burned: 37 (million)
% 1.90/0.62 % (29543)------------------------------
% 1.90/0.62 % (29543)------------------------------
% 1.90/0.62 TRYING [4]
% 1.90/0.62 % (29560)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)
% 1.90/0.62 % (29554)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.14/0.63 TRYING [4]
% 2.14/0.64 % (29547)Instruction limit reached!
% 2.14/0.64 % (29547)------------------------------
% 2.14/0.64 % (29547)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.64 % (29550)Instruction limit reached!
% 2.14/0.64 % (29550)------------------------------
% 2.14/0.64 % (29550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.64 % (29551)First to succeed.
% 2.14/0.65 % (29547)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.65 % (29547)Termination reason: Unknown
% 2.14/0.65 % (29547)Termination phase: Finite model building SAT solving
% 2.14/0.65
% 2.14/0.65 % (29547)Memory used [KB]: 7036
% 2.14/0.65 % (29547)Time elapsed: 0.212 s
% 2.14/0.65 % (29547)Instructions burned: 53 (million)
% 2.14/0.65 % (29547)------------------------------
% 2.14/0.65 % (29547)------------------------------
% 2.31/0.65 % (29559)Also succeeded, but the first one will report.
% 2.31/0.65 % (29551)Refutation found. Thanks to Tanya!
% 2.31/0.65 % SZS status Unsatisfiable for theBenchmark
% 2.31/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 2.31/0.66 % (29551)------------------------------
% 2.31/0.66 % (29551)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.66 % (29551)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.66 % (29551)Termination reason: Refutation
% 2.31/0.66
% 2.31/0.66 % (29551)Memory used [KB]: 5884
% 2.31/0.66 % (29551)Time elapsed: 0.227 s
% 2.31/0.66 % (29551)Instructions burned: 32 (million)
% 2.31/0.66 % (29551)------------------------------
% 2.31/0.66 % (29551)------------------------------
% 2.31/0.66 % (29540)Success in time 0.298 s
%------------------------------------------------------------------------------