TSTP Solution File: GRP329-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP329-1 : 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 : n008.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 16:21:19 EDT 2022
% Result : Unsatisfiable 1.34s 0.53s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 67
% Syntax : Number of formulae : 263 ( 6 unt; 0 def)
% Number of atoms : 902 ( 301 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 1221 ( 582 ~; 608 |; 0 &)
% ( 31 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 33 ( 31 usr; 32 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 61 ( 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f870,plain,
$false,
inference(avatar_sat_refutation,[],[f73,f82,f91,f99,f100,f101,f106,f111,f116,f117,f124,f138,f139,f140,f145,f146,f147,f148,f149,f150,f151,f152,f153,f154,f163,f165,f166,f167,f168,f169,f170,f172,f173,f174,f175,f180,f182,f212,f214,f230,f268,f298,f306,f311,f313,f363,f508,f517,f541,f582,f800,f803,f818,f831,f867]) ).
fof(f867,plain,
( ~ spl4_1
| spl4_4
| ~ spl4_23
| ~ spl4_25
| ~ spl4_28 ),
inference(avatar_contradiction_clause,[],[f866]) ).
fof(f866,plain,
( $false
| ~ spl4_1
| spl4_4
| ~ spl4_23
| ~ spl4_25
| ~ spl4_28 ),
inference(subsumption_resolution,[],[f864,f841]) ).
fof(f841,plain,
( identity != inverse(identity)
| spl4_4
| ~ spl4_23
| ~ spl4_25
| ~ spl4_28 ),
inference(forward_demodulation,[],[f836,f233]) ).
fof(f233,plain,
( identity = sk_c7
| ~ spl4_28 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f232,plain,
( spl4_28
<=> identity = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_28])]) ).
fof(f836,plain,
( sk_c7 != inverse(identity)
| spl4_4
| ~ spl4_23
| ~ spl4_25 ),
inference(forward_demodulation,[],[f71,f709]) ).
fof(f709,plain,
( identity = sk_c8
| ~ spl4_23
| ~ spl4_25 ),
inference(forward_demodulation,[],[f210,f199]) ).
fof(f199,plain,
( identity = sk_c9
| ~ spl4_23 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f198,plain,
( spl4_23
<=> identity = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).
fof(f210,plain,
( sk_c8 = sk_c9
| ~ spl4_25 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f209,plain,
( spl4_25
<=> sk_c8 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_25])]) ).
fof(f71,plain,
( sk_c7 != inverse(sk_c8)
| spl4_4 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f70,plain,
( spl4_4
<=> sk_c7 = inverse(sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f864,plain,
( identity = inverse(identity)
| ~ spl4_1
| ~ spl4_23
| ~ spl4_25 ),
inference(backward_demodulation,[],[f737,f859]) ).
fof(f859,plain,
( identity = sk_c1
| ~ spl4_1
| ~ spl4_23
| ~ spl4_25 ),
inference(superposition,[],[f1,f752]) ).
fof(f752,plain,
( identity = multiply(identity,sk_c1)
| ~ spl4_1
| ~ spl4_23
| ~ spl4_25 ),
inference(forward_demodulation,[],[f471,f709]) ).
fof(f471,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl4_1 ),
inference(superposition,[],[f2,f59]) ).
fof(f59,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f57,plain,
( spl4_1
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f737,plain,
( identity = inverse(sk_c1)
| ~ spl4_1
| ~ spl4_23
| ~ spl4_25 ),
inference(forward_demodulation,[],[f59,f709]) ).
fof(f831,plain,
( ~ spl4_4
| ~ spl4_23
| ~ spl4_25
| spl4_26
| ~ spl4_28 ),
inference(avatar_contradiction_clause,[],[f830]) ).
fof(f830,plain,
( $false
| ~ spl4_4
| ~ spl4_23
| ~ spl4_25
| spl4_26
| ~ spl4_28 ),
inference(subsumption_resolution,[],[f829,f199]) ).
fof(f829,plain,
( identity != sk_c9
| ~ spl4_4
| ~ spl4_23
| ~ spl4_25
| spl4_26
| ~ spl4_28 ),
inference(forward_demodulation,[],[f225,f807]) ).
fof(f807,plain,
( identity = inverse(identity)
| ~ spl4_4
| ~ spl4_23
| ~ spl4_25
| ~ spl4_28 ),
inference(forward_demodulation,[],[f753,f233]) ).
fof(f753,plain,
( sk_c7 = inverse(identity)
| ~ spl4_4
| ~ spl4_23
| ~ spl4_25 ),
inference(forward_demodulation,[],[f72,f709]) ).
fof(f72,plain,
( sk_c7 = inverse(sk_c8)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f225,plain,
( sk_c9 != inverse(identity)
| spl4_26 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f223,plain,
( spl4_26
<=> sk_c9 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_26])]) ).
fof(f818,plain,
( ~ spl4_4
| ~ spl4_23
| spl4_24
| ~ spl4_25
| ~ spl4_28 ),
inference(avatar_contradiction_clause,[],[f817]) ).
fof(f817,plain,
( $false
| ~ spl4_4
| ~ spl4_23
| spl4_24
| ~ spl4_25
| ~ spl4_28 ),
inference(subsumption_resolution,[],[f816,f709]) ).
fof(f816,plain,
( identity != sk_c8
| ~ spl4_4
| ~ spl4_23
| spl4_24
| ~ spl4_25
| ~ spl4_28 ),
inference(forward_demodulation,[],[f207,f807]) ).
fof(f207,plain,
( sk_c8 != inverse(identity)
| spl4_24 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f205,plain,
( spl4_24
<=> sk_c8 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_24])]) ).
fof(f803,plain,
( ~ spl4_3
| ~ spl4_7
| ~ spl4_15
| ~ spl4_21
| ~ spl4_23
| ~ spl4_25 ),
inference(avatar_contradiction_clause,[],[f802]) ).
fof(f802,plain,
( $false
| ~ spl4_3
| ~ spl4_7
| ~ spl4_15
| ~ spl4_21
| ~ spl4_23
| ~ spl4_25 ),
inference(subsumption_resolution,[],[f801,f1]) ).
fof(f801,plain,
( identity != multiply(identity,identity)
| ~ spl4_3
| ~ spl4_7
| ~ spl4_15
| ~ spl4_21
| ~ spl4_23
| ~ spl4_25 ),
inference(forward_demodulation,[],[f796,f789]) ).
fof(f789,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl4_3
| ~ spl4_15
| ~ spl4_23
| ~ spl4_25 ),
inference(forward_demodulation,[],[f787,f1]) ).
fof(f787,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c2,X0)
| ~ spl4_3
| ~ spl4_15
| ~ spl4_23
| ~ spl4_25 ),
inference(backward_demodulation,[],[f733,f784]) ).
fof(f784,plain,
( identity = sk_c3
| ~ spl4_15
| ~ spl4_23
| ~ spl4_25 ),
inference(forward_demodulation,[],[f782,f2]) ).
fof(f782,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl4_15
| ~ spl4_23
| ~ spl4_25 ),
inference(superposition,[],[f248,f750]) ).
fof(f750,plain,
( identity = multiply(identity,sk_c3)
| ~ spl4_15
| ~ spl4_23
| ~ spl4_25 ),
inference(forward_demodulation,[],[f549,f709]) ).
fof(f549,plain,
( sk_c8 = multiply(sk_c8,sk_c3)
| ~ spl4_15
| ~ spl4_25 ),
inference(backward_demodulation,[],[f128,f210]) ).
fof(f128,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| ~ spl4_15 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f126,plain,
( spl4_15
<=> sk_c8 = multiply(sk_c9,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
fof(f248,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3,
inference(forward_demodulation,[],[f241,f1]) ).
fof(f241,plain,
! [X2,X3] : multiply(identity,X3) = multiply(inverse(X2),multiply(X2,X3)),
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(f733,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c3,X0)
| ~ spl4_3
| ~ spl4_23
| ~ spl4_25 ),
inference(forward_demodulation,[],[f732,f1]) ).
fof(f732,plain,
( ! [X0] : multiply(sk_c2,multiply(identity,X0)) = multiply(sk_c3,X0)
| ~ spl4_3
| ~ spl4_23
| ~ spl4_25 ),
inference(forward_demodulation,[],[f558,f709]) ).
fof(f558,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c8,X0)) = multiply(sk_c3,X0)
| ~ spl4_3
| ~ spl4_25 ),
inference(backward_demodulation,[],[f537,f210]) ).
fof(f537,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c9,X0)) = multiply(sk_c3,X0)
| ~ spl4_3 ),
inference(superposition,[],[f3,f68]) ).
fof(f68,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl4_3
<=> sk_c3 = multiply(sk_c2,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f796,plain,
( identity != multiply(identity,multiply(sk_c2,identity))
| ~ spl4_7
| ~ spl4_21
| ~ spl4_23
| ~ spl4_25 ),
inference(trivial_inequality_removal,[],[f792]) ).
fof(f792,plain,
( identity != identity
| identity != multiply(identity,multiply(sk_c2,identity))
| ~ spl4_7
| ~ spl4_21
| ~ spl4_23
| ~ spl4_25 ),
inference(superposition,[],[f731,f723]) ).
fof(f723,plain,
( identity = inverse(sk_c2)
| ~ spl4_7
| ~ spl4_23
| ~ spl4_25 ),
inference(forward_demodulation,[],[f545,f709]) ).
fof(f545,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl4_7
| ~ spl4_25 ),
inference(backward_demodulation,[],[f86,f210]) ).
fof(f86,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl4_7
<=> sk_c9 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f731,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != multiply(identity,multiply(X5,identity)) )
| ~ spl4_21
| ~ spl4_23
| ~ spl4_25 ),
inference(forward_demodulation,[],[f730,f199]) ).
fof(f730,plain,
( ! [X5] :
( identity != multiply(identity,multiply(X5,identity))
| sk_c9 != inverse(X5) )
| ~ spl4_21
| ~ spl4_23
| ~ spl4_25 ),
inference(forward_demodulation,[],[f729,f709]) ).
fof(f729,plain,
( ! [X5] :
( sk_c8 != multiply(identity,multiply(X5,identity))
| sk_c9 != inverse(X5) )
| ~ spl4_21
| ~ spl4_23 ),
inference(forward_demodulation,[],[f179,f199]) ).
fof(f179,plain,
( ! [X5] :
( sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| sk_c9 != inverse(X5) )
| ~ spl4_21 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl4_21
<=> ! [X5] :
( sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| sk_c9 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).
fof(f800,plain,
( ~ spl4_21
| ~ spl4_23
| ~ spl4_24
| ~ spl4_25 ),
inference(avatar_contradiction_clause,[],[f799]) ).
fof(f799,plain,
( $false
| ~ spl4_21
| ~ spl4_23
| ~ spl4_24
| ~ spl4_25 ),
inference(subsumption_resolution,[],[f798,f1]) ).
fof(f798,plain,
( identity != multiply(identity,identity)
| ~ spl4_21
| ~ spl4_23
| ~ spl4_24
| ~ spl4_25 ),
inference(forward_demodulation,[],[f797,f1]) ).
fof(f797,plain,
( identity != multiply(identity,multiply(identity,identity))
| ~ spl4_21
| ~ spl4_23
| ~ spl4_24
| ~ spl4_25 ),
inference(trivial_inequality_removal,[],[f794]) ).
fof(f794,plain,
( identity != identity
| identity != multiply(identity,multiply(identity,identity))
| ~ spl4_21
| ~ spl4_23
| ~ spl4_24
| ~ spl4_25 ),
inference(superposition,[],[f731,f710]) ).
fof(f710,plain,
( identity = inverse(identity)
| ~ spl4_23
| ~ spl4_24
| ~ spl4_25 ),
inference(forward_demodulation,[],[f206,f709]) ).
fof(f206,plain,
( sk_c8 = inverse(identity)
| ~ spl4_24 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f582,plain,
( ~ spl4_1
| ~ spl4_5
| ~ spl4_11
| ~ spl4_25
| spl4_27 ),
inference(avatar_contradiction_clause,[],[f581]) ).
fof(f581,plain,
( $false
| ~ spl4_1
| ~ spl4_5
| ~ spl4_11
| ~ spl4_25
| spl4_27 ),
inference(subsumption_resolution,[],[f580,f551]) ).
fof(f551,plain,
( sk_c8 != sk_c7
| ~ spl4_25
| spl4_27 ),
inference(backward_demodulation,[],[f229,f210]) ).
fof(f229,plain,
( sk_c9 != sk_c7
| spl4_27 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f227,plain,
( spl4_27
<=> sk_c9 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_27])]) ).
fof(f580,plain,
( sk_c8 = sk_c7
| ~ spl4_1
| ~ spl4_5
| ~ spl4_11
| ~ spl4_25 ),
inference(backward_demodulation,[],[f544,f579]) ).
fof(f579,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl4_1
| ~ spl4_11
| ~ spl4_25 ),
inference(forward_demodulation,[],[f577,f59]) ).
fof(f577,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c8)
| ~ spl4_11
| ~ spl4_25 ),
inference(superposition,[],[f248,f546]) ).
fof(f546,plain,
( sk_c8 = multiply(sk_c1,sk_c8)
| ~ spl4_11
| ~ spl4_25 ),
inference(backward_demodulation,[],[f105,f210]) ).
fof(f105,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl4_11
<=> sk_c9 = multiply(sk_c1,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f544,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl4_5
| ~ spl4_25 ),
inference(backward_demodulation,[],[f77,f210]) ).
fof(f77,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl4_5
<=> multiply(sk_c8,sk_c9) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f541,plain,
( ~ spl4_3
| ~ spl4_7
| ~ spl4_15
| spl4_25 ),
inference(avatar_contradiction_clause,[],[f540]) ).
fof(f540,plain,
( $false
| ~ spl4_3
| ~ spl4_7
| ~ spl4_15
| spl4_25 ),
inference(subsumption_resolution,[],[f539,f211]) ).
fof(f211,plain,
( sk_c8 != sk_c9
| spl4_25 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f539,plain,
( sk_c8 = sk_c9
| ~ spl4_3
| ~ spl4_7
| ~ spl4_15 ),
inference(forward_demodulation,[],[f538,f128]) ).
fof(f538,plain,
( sk_c9 = multiply(sk_c9,sk_c3)
| ~ spl4_3
| ~ spl4_7 ),
inference(forward_demodulation,[],[f536,f86]) ).
fof(f536,plain,
( sk_c9 = multiply(inverse(sk_c2),sk_c3)
| ~ spl4_3 ),
inference(superposition,[],[f248,f68]) ).
fof(f517,plain,
( ~ spl4_5
| spl4_23
| ~ spl4_25
| ~ spl4_27 ),
inference(avatar_contradiction_clause,[],[f516]) ).
fof(f516,plain,
( $false
| ~ spl4_5
| spl4_23
| ~ spl4_25
| ~ spl4_27 ),
inference(subsumption_resolution,[],[f486,f200]) ).
fof(f200,plain,
( identity != sk_c9
| spl4_23 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f486,plain,
( identity = sk_c9
| ~ spl4_5
| ~ spl4_25
| ~ spl4_27 ),
inference(backward_demodulation,[],[f210,f480]) ).
fof(f480,plain,
( identity = sk_c8
| ~ spl4_5
| ~ spl4_25
| ~ spl4_27 ),
inference(forward_demodulation,[],[f478,f2]) ).
fof(f478,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl4_5
| ~ spl4_25
| ~ spl4_27 ),
inference(superposition,[],[f248,f446]) ).
fof(f446,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl4_5
| ~ spl4_25
| ~ spl4_27 ),
inference(forward_demodulation,[],[f309,f210]) ).
fof(f309,plain,
( sk_c9 = multiply(sk_c8,sk_c9)
| ~ spl4_5
| ~ spl4_27 ),
inference(forward_demodulation,[],[f77,f228]) ).
fof(f228,plain,
( sk_c9 = sk_c7
| ~ spl4_27 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f508,plain,
( spl4_28
| ~ spl4_5
| ~ spl4_25
| ~ spl4_27 ),
inference(avatar_split_clause,[],[f490,f227,f209,f75,f232]) ).
fof(f490,plain,
( identity = sk_c7
| ~ spl4_5
| ~ spl4_25
| ~ spl4_27 ),
inference(backward_demodulation,[],[f314,f480]) ).
fof(f314,plain,
( sk_c8 = sk_c7
| ~ spl4_25
| ~ spl4_27 ),
inference(backward_demodulation,[],[f228,f210]) ).
fof(f363,plain,
( ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_12
| ~ spl4_21
| ~ spl4_23
| ~ spl4_25
| ~ spl4_27 ),
inference(avatar_contradiction_clause,[],[f362]) ).
fof(f362,plain,
( $false
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_12
| ~ spl4_21
| ~ spl4_23
| ~ spl4_25
| ~ spl4_27 ),
inference(subsumption_resolution,[],[f361,f1]) ).
fof(f361,plain,
( identity != multiply(identity,identity)
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_12
| ~ spl4_21
| ~ spl4_23
| ~ spl4_25
| ~ spl4_27 ),
inference(forward_demodulation,[],[f360,f1]) ).
fof(f360,plain,
( identity != multiply(identity,multiply(identity,identity))
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_12
| ~ spl4_21
| ~ spl4_23
| ~ spl4_25
| ~ spl4_27 ),
inference(trivial_inequality_removal,[],[f359]) ).
fof(f359,plain,
( identity != multiply(identity,multiply(identity,identity))
| identity != identity
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_12
| ~ spl4_21
| ~ spl4_23
| ~ spl4_25
| ~ spl4_27 ),
inference(superposition,[],[f355,f332]) ).
fof(f332,plain,
( identity = inverse(identity)
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_12
| ~ spl4_25
| ~ spl4_27 ),
inference(backward_demodulation,[],[f317,f325]) ).
fof(f325,plain,
( identity = sk_c8
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_12
| ~ spl4_25
| ~ spl4_27 ),
inference(forward_demodulation,[],[f322,f318]) ).
fof(f318,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl4_4
| ~ spl4_25
| ~ spl4_27 ),
inference(backward_demodulation,[],[f273,f210]) ).
fof(f273,plain,
( identity = multiply(sk_c9,sk_c8)
| ~ spl4_4
| ~ spl4_27 ),
inference(backward_demodulation,[],[f183,f228]) ).
fof(f183,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl4_4 ),
inference(superposition,[],[f2,f72]) ).
fof(f322,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_12
| ~ spl4_25 ),
inference(backward_demodulation,[],[f296,f210]) ).
fof(f296,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_12 ),
inference(forward_demodulation,[],[f288,f90]) ).
fof(f90,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl4_8
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f288,plain,
( sk_c8 = multiply(inverse(sk_c4),sk_c9)
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_12 ),
inference(superposition,[],[f248,f264]) ).
fof(f264,plain,
( sk_c9 = multiply(sk_c4,sk_c8)
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_12 ),
inference(backward_demodulation,[],[f110,f259]) ).
fof(f259,plain,
( sk_c4 = sk_c5
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8 ),
inference(forward_demodulation,[],[f257,f256]) ).
fof(f256,plain,
( sk_c4 = multiply(sk_c7,identity)
| ~ spl4_4
| ~ spl4_8 ),
inference(superposition,[],[f249,f184]) ).
fof(f184,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl4_8 ),
inference(superposition,[],[f2,f90]) ).
fof(f249,plain,
( ! [X10] : multiply(sk_c7,multiply(sk_c8,X10)) = X10
| ~ spl4_4 ),
inference(forward_demodulation,[],[f245,f1]) ).
fof(f245,plain,
( ! [X10] : multiply(sk_c7,multiply(sk_c8,X10)) = multiply(identity,X10)
| ~ spl4_4 ),
inference(superposition,[],[f3,f183]) ).
fof(f257,plain,
( sk_c5 = multiply(sk_c7,identity)
| ~ spl4_4
| ~ spl4_6 ),
inference(superposition,[],[f249,f185]) ).
fof(f185,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl4_6 ),
inference(superposition,[],[f2,f81]) ).
fof(f81,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f79,plain,
( spl4_6
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f110,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl4_12
<=> sk_c9 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f317,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl4_4
| ~ spl4_25
| ~ spl4_27 ),
inference(backward_demodulation,[],[f270,f210]) ).
fof(f270,plain,
( sk_c9 = inverse(sk_c8)
| ~ spl4_4
| ~ spl4_27 ),
inference(backward_demodulation,[],[f72,f228]) ).
fof(f355,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != multiply(identity,multiply(X5,identity)) )
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_12
| ~ spl4_21
| ~ spl4_23
| ~ spl4_25
| ~ spl4_27 ),
inference(forward_demodulation,[],[f354,f199]) ).
fof(f354,plain,
( ! [X5] :
( identity != multiply(identity,multiply(X5,identity))
| sk_c9 != inverse(X5) )
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_12
| ~ spl4_21
| ~ spl4_23
| ~ spl4_25
| ~ spl4_27 ),
inference(backward_demodulation,[],[f353,f199]) ).
fof(f353,plain,
( ! [X5] :
( sk_c9 != inverse(X5)
| identity != multiply(sk_c9,multiply(X5,sk_c9)) )
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_12
| ~ spl4_21
| ~ spl4_25
| ~ spl4_27 ),
inference(forward_demodulation,[],[f179,f325]) ).
fof(f313,plain,
( spl4_9
| ~ spl4_20
| ~ spl4_27 ),
inference(avatar_split_clause,[],[f312,f227,f161,f93]) ).
fof(f93,plain,
( spl4_9
<=> ! [X7] :
( sk_c9 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f161,plain,
( spl4_20
<=> ! [X6] :
( sk_c7 != multiply(X6,sk_c8)
| sk_c8 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).
fof(f312,plain,
( ! [X6] :
( sk_c9 != multiply(X6,sk_c8)
| sk_c8 != inverse(X6) )
| ~ spl4_20
| ~ spl4_27 ),
inference(forward_demodulation,[],[f162,f228]) ).
fof(f162,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c8)
| sk_c8 != inverse(X6) )
| ~ spl4_20 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f311,plain,
( spl4_25
| ~ spl4_4
| ~ spl4_5
| ~ spl4_6
| ~ spl4_8
| ~ spl4_12
| ~ spl4_27 ),
inference(avatar_split_clause,[],[f310,f227,f108,f88,f79,f75,f70,f209]) ).
fof(f310,plain,
( sk_c8 = sk_c9
| ~ spl4_4
| ~ spl4_5
| ~ spl4_6
| ~ spl4_8
| ~ spl4_12
| ~ spl4_27 ),
inference(forward_demodulation,[],[f309,f296]) ).
fof(f306,plain,
( spl4_25
| ~ spl4_2
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_12
| ~ spl4_14
| ~ spl4_27 ),
inference(avatar_split_clause,[],[f305,f227,f120,f108,f88,f79,f70,f61,f209]) ).
fof(f61,plain,
( spl4_2
<=> sk_c9 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f120,plain,
( spl4_14
<=> sk_c7 = multiply(sk_c6,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
fof(f305,plain,
( sk_c8 = sk_c9
| ~ spl4_2
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_12
| ~ spl4_14
| ~ spl4_27 ),
inference(forward_demodulation,[],[f300,f296]) ).
fof(f300,plain,
( sk_c9 = multiply(sk_c8,sk_c9)
| ~ spl4_2
| ~ spl4_4
| ~ spl4_14
| ~ spl4_27 ),
inference(backward_demodulation,[],[f272,f299]) ).
fof(f299,plain,
( sk_c8 = sk_c6
| ~ spl4_2
| ~ spl4_4
| ~ spl4_27 ),
inference(forward_demodulation,[],[f292,f289]) ).
fof(f289,plain,
( sk_c8 = multiply(inverse(sk_c9),identity)
| ~ spl4_4
| ~ spl4_27 ),
inference(superposition,[],[f248,f273]) ).
fof(f292,plain,
( sk_c6 = multiply(inverse(sk_c9),identity)
| ~ spl4_2 ),
inference(superposition,[],[f248,f186]) ).
fof(f186,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl4_2 ),
inference(superposition,[],[f2,f63]) ).
fof(f63,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f272,plain,
( sk_c9 = multiply(sk_c6,sk_c9)
| ~ spl4_14
| ~ spl4_27 ),
inference(backward_demodulation,[],[f122,f228]) ).
fof(f122,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| ~ spl4_14 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f298,plain,
( ~ spl4_25
| ~ spl4_4
| spl4_5
| ~ spl4_6
| ~ spl4_8
| ~ spl4_12
| ~ spl4_27 ),
inference(avatar_split_clause,[],[f297,f227,f108,f88,f79,f75,f70,f209]) ).
fof(f297,plain,
( sk_c8 != sk_c9
| ~ spl4_4
| spl4_5
| ~ spl4_6
| ~ spl4_8
| ~ spl4_12
| ~ spl4_27 ),
inference(backward_demodulation,[],[f271,f296]) ).
fof(f271,plain,
( sk_c9 != multiply(sk_c8,sk_c9)
| spl4_5
| ~ spl4_27 ),
inference(backward_demodulation,[],[f76,f228]) ).
fof(f76,plain,
( multiply(sk_c8,sk_c9) != sk_c7
| spl4_5 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f268,plain,
( spl4_27
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_12
| ~ spl4_13 ),
inference(avatar_split_clause,[],[f267,f113,f108,f88,f79,f70,f227]) ).
fof(f113,plain,
( spl4_13
<=> sk_c7 = multiply(sk_c4,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).
fof(f267,plain,
( sk_c9 = sk_c7
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_12
| ~ spl4_13 ),
inference(backward_demodulation,[],[f115,f264]) ).
fof(f115,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| ~ spl4_13 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f230,plain,
( ~ spl4_26
| ~ spl4_27
| ~ spl4_16 ),
inference(avatar_split_clause,[],[f217,f132,f227,f223]) ).
fof(f132,plain,
( spl4_16
<=> ! [X8] :
( sk_c9 != inverse(X8)
| sk_c7 != multiply(X8,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).
fof(f217,plain,
( sk_c9 != sk_c7
| sk_c9 != inverse(identity)
| ~ spl4_16 ),
inference(superposition,[],[f133,f1]) ).
fof(f133,plain,
( ! [X8] :
( sk_c7 != multiply(X8,sk_c9)
| sk_c9 != inverse(X8) )
| ~ spl4_16 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f214,plain,
( ~ spl4_6
| ~ spl4_9
| ~ spl4_12 ),
inference(avatar_contradiction_clause,[],[f213]) ).
fof(f213,plain,
( $false
| ~ spl4_6
| ~ spl4_9
| ~ spl4_12 ),
inference(subsumption_resolution,[],[f192,f81]) ).
fof(f192,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl4_9
| ~ spl4_12 ),
inference(trivial_inequality_removal,[],[f187]) ).
fof(f187,plain,
( sk_c8 != inverse(sk_c5)
| sk_c9 != sk_c9
| ~ spl4_9
| ~ spl4_12 ),
inference(superposition,[],[f94,f110]) ).
fof(f94,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f212,plain,
( ~ spl4_24
| ~ spl4_25
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f190,f93,f209,f205]) ).
fof(f190,plain,
( sk_c8 != sk_c9
| sk_c8 != inverse(identity)
| ~ spl4_9 ),
inference(superposition,[],[f94,f1]) ).
fof(f182,plain,
( spl4_12
| spl4_15 ),
inference(avatar_split_clause,[],[f28,f126,f108]) ).
fof(f28,axiom,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f180,plain,
( ~ spl4_19
| ~ spl4_17
| ~ spl4_4
| ~ spl4_10
| ~ spl4_5
| spl4_21
| ~ spl4_18 ),
inference(avatar_split_clause,[],[f55,f142,f178,f75,f96,f70,f135,f157]) ).
fof(f157,plain,
( spl4_19
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).
fof(f135,plain,
( spl4_17
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
fof(f96,plain,
( spl4_10
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f142,plain,
( spl4_18
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).
fof(f55,plain,
! [X5] :
( ~ sP0
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| multiply(sk_c8,sk_c9) != sk_c7
| ~ sP3
| sk_c7 != inverse(sk_c8)
| ~ sP1
| sk_c9 != inverse(X5)
| ~ sP2 ),
inference(general_splitting,[],[f53,f54_D]) ).
fof(f54,plain,
! [X7] :
( sP3
| sk_c9 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) ),
inference(cnf_transformation,[],[f54_D]) ).
fof(f54_D,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
<=> ~ sP3 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f53,plain,
! [X7,X5] :
( sk_c8 != inverse(X7)
| sk_c9 != inverse(X5)
| sk_c9 != multiply(X7,sk_c8)
| sk_c7 != inverse(sk_c8)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| multiply(sk_c8,sk_c9) != sk_c7
| ~ sP0
| ~ sP1
| ~ sP2 ),
inference(general_splitting,[],[f51,f52_D]) ).
fof(f52,plain,
! [X6] :
( sk_c7 != multiply(X6,sk_c8)
| sP2
| sk_c8 != inverse(X6) ),
inference(cnf_transformation,[],[f52_D]) ).
fof(f52_D,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c8)
| sk_c8 != inverse(X6) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f51,plain,
! [X6,X7,X5] :
( sk_c8 != inverse(X7)
| sk_c9 != inverse(X5)
| sk_c7 != multiply(X6,sk_c8)
| sk_c9 != multiply(X7,sk_c8)
| sk_c7 != inverse(sk_c8)
| sk_c8 != inverse(X6)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| multiply(sk_c8,sk_c9) != sk_c7
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f49,f50_D]) ).
fof(f50,plain,
! [X8] :
( sP1
| sk_c9 != inverse(X8)
| sk_c7 != multiply(X8,sk_c9) ),
inference(cnf_transformation,[],[f50_D]) ).
fof(f50_D,plain,
( ! [X8] :
( sk_c9 != inverse(X8)
| sk_c7 != multiply(X8,sk_c9) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f49,plain,
! [X8,X6,X7,X5] :
( sk_c8 != inverse(X7)
| sk_c9 != inverse(X5)
| sk_c9 != inverse(X8)
| sk_c7 != multiply(X6,sk_c8)
| sk_c9 != multiply(X7,sk_c8)
| sk_c7 != multiply(X8,sk_c9)
| sk_c7 != inverse(sk_c8)
| sk_c8 != inverse(X6)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| multiply(sk_c8,sk_c9) != sk_c7
| ~ sP0 ),
inference(general_splitting,[],[f47,f48_D]) ).
fof(f48,plain,
! [X3] :
( sk_c9 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3)
| sP0 ),
inference(cnf_transformation,[],[f48_D]) ).
fof(f48_D,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f47,plain,
! [X3,X8,X6,X7,X5] :
( sk_c8 != inverse(X7)
| sk_c9 != inverse(X5)
| sk_c9 != inverse(X8)
| sk_c7 != multiply(X6,sk_c8)
| sk_c8 != inverse(X3)
| sk_c9 != multiply(X7,sk_c8)
| sk_c7 != multiply(X8,sk_c9)
| sk_c7 != inverse(sk_c8)
| sk_c8 != inverse(X6)
| sk_c9 != multiply(X3,sk_c8)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| multiply(sk_c8,sk_c9) != sk_c7 ),
inference(equality_resolution,[],[f46]) ).
fof(f46,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c8 != inverse(X7)
| sk_c9 != inverse(X5)
| sk_c9 != inverse(X8)
| multiply(X5,sk_c9) != X4
| sk_c7 != multiply(X6,sk_c8)
| sk_c8 != inverse(X3)
| sk_c9 != multiply(X7,sk_c8)
| sk_c7 != multiply(X8,sk_c9)
| sk_c7 != inverse(sk_c8)
| sk_c8 != inverse(X6)
| sk_c9 != multiply(X3,sk_c8)
| sk_c8 != multiply(sk_c9,X4)
| multiply(sk_c8,sk_c9) != sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f175,plain,
( spl4_15
| spl4_4 ),
inference(avatar_split_clause,[],[f25,f70,f126]) ).
fof(f25,axiom,
( sk_c7 = inverse(sk_c8)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f174,plain,
( spl4_12
| spl4_1 ),
inference(avatar_split_clause,[],[f21,f57,f108]) ).
fof(f21,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f173,plain,
( spl4_12
| spl4_11 ),
inference(avatar_split_clause,[],[f14,f103,f108]) ).
fof(f14,axiom,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f172,plain,
( spl4_4
| spl4_7 ),
inference(avatar_split_clause,[],[f39,f84,f70]) ).
fof(f39,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c7 = inverse(sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f170,plain,
( spl4_13
| spl4_15 ),
inference(avatar_split_clause,[],[f26,f126,f113]) ).
fof(f26,axiom,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c7 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f169,plain,
( spl4_14
| spl4_5 ),
inference(avatar_split_clause,[],[f9,f75,f120]) ).
fof(f9,axiom,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c7 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f168,plain,
( spl4_11
| spl4_6 ),
inference(avatar_split_clause,[],[f15,f79,f103]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f167,plain,
( spl4_13
| spl4_3 ),
inference(avatar_split_clause,[],[f33,f66,f113]) ).
fof(f33,axiom,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c7 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f166,plain,
( spl4_8
| spl4_3 ),
inference(avatar_split_clause,[],[f34,f66,f88]) ).
fof(f34,axiom,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f165,plain,
( spl4_4
| spl4_5 ),
inference(avatar_split_clause,[],[f4,f75,f70]) ).
fof(f4,axiom,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c7 = inverse(sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f163,plain,
( spl4_19
| spl4_20 ),
inference(avatar_split_clause,[],[f52,f161,f157]) ).
fof(f154,plain,
( spl4_7
| spl4_6 ),
inference(avatar_split_clause,[],[f43,f79,f84]) ).
fof(f43,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f153,plain,
( spl4_6
| spl4_3 ),
inference(avatar_split_clause,[],[f36,f66,f79]) ).
fof(f36,axiom,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f152,plain,
( spl4_12
| spl4_5 ),
inference(avatar_split_clause,[],[f7,f75,f108]) ).
fof(f7,axiom,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f151,plain,
( spl4_8
| spl4_1 ),
inference(avatar_split_clause,[],[f20,f57,f88]) ).
fof(f20,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f150,plain,
( spl4_11
| spl4_4 ),
inference(avatar_split_clause,[],[f11,f70,f103]) ).
fof(f11,axiom,
( sk_c7 = inverse(sk_c8)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f149,plain,
( spl4_13
| spl4_7 ),
inference(avatar_split_clause,[],[f40,f84,f113]) ).
fof(f40,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c7 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f148,plain,
( spl4_13
| spl4_11 ),
inference(avatar_split_clause,[],[f12,f103,f113]) ).
fof(f12,axiom,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f147,plain,
( spl4_15
| spl4_6 ),
inference(avatar_split_clause,[],[f29,f79,f126]) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f146,plain,
( spl4_6
| spl4_1 ),
inference(avatar_split_clause,[],[f22,f57,f79]) ).
fof(f22,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f145,plain,
( spl4_18
| spl4_9 ),
inference(avatar_split_clause,[],[f48,f93,f142]) ).
fof(f140,plain,
( spl4_1
| spl4_13 ),
inference(avatar_split_clause,[],[f19,f113,f57]) ).
fof(f19,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f139,plain,
( spl4_8
| spl4_15 ),
inference(avatar_split_clause,[],[f27,f126,f88]) ).
fof(f27,axiom,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f138,plain,
( spl4_16
| spl4_17 ),
inference(avatar_split_clause,[],[f50,f135,f132]) ).
fof(f124,plain,
( spl4_5
| spl4_2 ),
inference(avatar_split_clause,[],[f10,f61,f75]) ).
fof(f10,axiom,
( sk_c9 = inverse(sk_c6)
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f117,plain,
( spl4_12
| spl4_7 ),
inference(avatar_split_clause,[],[f42,f84,f108]) ).
fof(f42,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f116,plain,
( spl4_5
| spl4_13 ),
inference(avatar_split_clause,[],[f5,f113,f75]) ).
fof(f5,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f111,plain,
( spl4_12
| spl4_3 ),
inference(avatar_split_clause,[],[f35,f66,f108]) ).
fof(f35,axiom,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f106,plain,
( spl4_11
| spl4_8 ),
inference(avatar_split_clause,[],[f13,f88,f103]) ).
fof(f13,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f101,plain,
( spl4_1
| spl4_4 ),
inference(avatar_split_clause,[],[f18,f70,f57]) ).
fof(f18,axiom,
( sk_c7 = inverse(sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f100,plain,
( spl4_5
| spl4_8 ),
inference(avatar_split_clause,[],[f6,f88,f75]) ).
fof(f6,axiom,
( sk_c8 = inverse(sk_c4)
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f99,plain,
( spl4_9
| spl4_10 ),
inference(avatar_split_clause,[],[f54,f96,f93]) ).
fof(f91,plain,
( spl4_7
| spl4_8 ),
inference(avatar_split_clause,[],[f41,f88,f84]) ).
fof(f41,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f82,plain,
( spl4_5
| spl4_6 ),
inference(avatar_split_clause,[],[f8,f79,f75]) ).
fof(f8,axiom,
( sk_c8 = inverse(sk_c5)
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f73,plain,
( spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f32,f70,f66]) ).
fof(f32,axiom,
( sk_c7 = inverse(sk_c8)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP329-1 : 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
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 22:28:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (25248)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.48 % (25240)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (25231)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.34/0.52 % (25228)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)
% 1.34/0.52 % (25248)First to succeed.
% 1.34/0.53 % (25236)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)
% 1.34/0.53 % (25251)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.34/0.53 % (25237)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.34/0.53 % (25239)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.34/0.53 % (25232)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)
% 1.34/0.53 % (25227)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)
% 1.34/0.53 % (25238)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)
% 1.34/0.53 % (25248)Refutation found. Thanks to Tanya!
% 1.34/0.53 % SZS status Unsatisfiable for theBenchmark
% 1.34/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.34/0.54 % (25248)------------------------------
% 1.34/0.54 % (25248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.54 % (25248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.54 % (25248)Termination reason: Refutation
% 1.34/0.54
% 1.34/0.54 % (25248)Memory used [KB]: 5884
% 1.34/0.54 % (25248)Time elapsed: 0.110 s
% 1.34/0.54 % (25248)Instructions burned: 25 (million)
% 1.34/0.54 % (25248)------------------------------
% 1.34/0.54 % (25248)------------------------------
% 1.34/0.54 % (25226)Success in time 0.181 s
%------------------------------------------------------------------------------