TSTP Solution File: GRP376-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP376-1 : 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 : n029.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 16:21:28 EDT 2022
% Result : Unsatisfiable 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 50
% Syntax : Number of formulae : 241 ( 9 unt; 0 def)
% Number of atoms : 1030 ( 280 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 1576 ( 787 ~; 768 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f891,plain,
$false,
inference(avatar_sat_refutation,[],[f49,f57,f66,f71,f76,f81,f86,f87,f95,f107,f117,f119,f120,f121,f122,f126,f127,f128,f129,f130,f132,f133,f134,f136,f137,f139,f140,f141,f142,f256,f265,f280,f308,f326,f344,f619,f641,f721,f770,f797,f884,f890]) ).
fof(f890,plain,
( ~ spl3_1
| ~ spl3_6
| ~ spl3_7
| spl3_8
| ~ spl3_9
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f889]) ).
fof(f889,plain,
( $false
| ~ spl3_1
| ~ spl3_6
| ~ spl3_7
| spl3_8
| ~ spl3_9
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f888]) ).
fof(f888,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_6
| ~ spl3_7
| spl3_8
| ~ spl3_9
| ~ spl3_19 ),
inference(superposition,[],[f887,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f887,plain,
( identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_6
| ~ spl3_7
| spl3_8
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f886,f547]) ).
fof(f547,plain,
( identity = sk_c6
| ~ spl3_1
| ~ spl3_9 ),
inference(forward_demodulation,[],[f544,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f544,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl3_1
| ~ spl3_9 ),
inference(superposition,[],[f155,f491]) ).
fof(f491,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl3_1
| ~ spl3_9 ),
inference(forward_demodulation,[],[f489,f44]) ).
fof(f44,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl3_1
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f489,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c6)
| ~ spl3_9 ),
inference(superposition,[],[f155,f80]) ).
fof(f80,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl3_9
<=> sk_c6 = multiply(sk_c1,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f155,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f147,f1]) ).
fof(f147,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f886,plain,
( identity != multiply(sk_c6,identity)
| ~ spl3_1
| ~ spl3_6
| ~ spl3_7
| spl3_8
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f885,f519]) ).
fof(f519,plain,
( identity = sk_c7
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f518,plain,
( spl3_19
<=> identity = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f885,plain,
( identity != multiply(sk_c6,sk_c7)
| ~ spl3_1
| ~ spl3_6
| ~ spl3_7
| spl3_8
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f74,f741]) ).
fof(f741,plain,
( identity = sk_c5
| ~ spl3_1
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f739,f290]) ).
fof(f290,plain,
identity = inverse(identity),
inference(superposition,[],[f170,f285]) ).
fof(f285,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f155,f170]) ).
fof(f170,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f155,f2]) ).
fof(f739,plain,
( sk_c5 = inverse(identity)
| ~ spl3_1
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_19 ),
inference(backward_demodulation,[],[f70,f736]) ).
fof(f736,plain,
( identity = sk_c2
| ~ spl3_1
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f480,f733]) ).
fof(f733,plain,
( identity = multiply(inverse(sk_c5),identity)
| ~ spl3_1
| ~ spl3_6
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f567,f519]) ).
fof(f567,plain,
( identity = multiply(inverse(sk_c5),sk_c7)
| ~ spl3_1
| ~ spl3_6
| ~ spl3_9 ),
inference(backward_demodulation,[],[f487,f547]) ).
fof(f487,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c7)
| ~ spl3_6 ),
inference(superposition,[],[f155,f65]) ).
fof(f65,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl3_6
<=> sk_c7 = multiply(sk_c5,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f480,plain,
( sk_c2 = multiply(inverse(sk_c5),identity)
| ~ spl3_7 ),
inference(superposition,[],[f170,f70]) ).
fof(f70,plain,
( sk_c5 = inverse(sk_c2)
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl3_7
<=> sk_c5 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f74,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| spl3_8 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f73,plain,
( spl3_8
<=> multiply(sk_c6,sk_c7) = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f884,plain,
( ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f883]) ).
fof(f883,plain,
( $false
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f882]) ).
fof(f882,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_19 ),
inference(superposition,[],[f819,f290]) ).
fof(f819,plain,
( identity != inverse(identity)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f818,f290]) ).
fof(f818,plain,
( identity != inverse(inverse(identity))
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f817,f290]) ).
fof(f817,plain,
( identity != inverse(inverse(inverse(identity)))
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f816,f290]) ).
fof(f816,plain,
( identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f809]) ).
fof(f809,plain,
( identity != identity
| identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_19 ),
inference(superposition,[],[f800,f285]) ).
fof(f800,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f799,f519]) ).
fof(f799,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c7 != multiply(X4,identity) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f798,f741]) ).
fof(f798,plain,
( ! [X4] :
( sk_c5 != inverse(X4)
| sk_c7 != multiply(X4,identity) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f56,f741]) ).
fof(f56,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c5)
| sk_c5 != inverse(X4) )
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl3_4
<=> ! [X4] :
( sk_c7 != multiply(X4,sk_c5)
| sk_c5 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f797,plain,
( ~ spl3_1
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_18
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f796]) ).
fof(f796,plain,
( $false
| ~ spl3_1
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_18
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f795]) ).
fof(f795,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_18
| ~ spl3_19 ),
inference(superposition,[],[f791,f290]) ).
fof(f791,plain,
( identity != inverse(identity)
| ~ spl3_1
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_18
| ~ spl3_19 ),
inference(forward_demodulation,[],[f790,f290]) ).
fof(f790,plain,
( identity != inverse(inverse(identity))
| ~ spl3_1
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_18
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f785]) ).
fof(f785,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl3_1
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_18
| ~ spl3_19 ),
inference(superposition,[],[f742,f2]) ).
fof(f742,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl3_1
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_18
| ~ spl3_19 ),
inference(backward_demodulation,[],[f723,f741]) ).
fof(f723,plain,
( ! [X6] :
( identity != multiply(X6,sk_c5)
| identity != inverse(X6) )
| ~ spl3_1
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f722,f547]) ).
fof(f722,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| identity != inverse(X6) )
| ~ spl3_1
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f125,f547]) ).
fof(f125,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c5) )
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl3_18
<=> ! [X6] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f770,plain,
( ~ spl3_1
| ~ spl3_2
| spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_13
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f769]) ).
fof(f769,plain,
( $false
| ~ spl3_1
| ~ spl3_2
| spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_13
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f768]) ).
fof(f768,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_2
| spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_13
| ~ spl3_19 ),
inference(superposition,[],[f743,f1]) ).
fof(f743,plain,
( identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_2
| spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_13
| ~ spl3_19 ),
inference(backward_demodulation,[],[f729,f741]) ).
fof(f729,plain,
( identity != multiply(identity,sk_c5)
| ~ spl3_1
| ~ spl3_2
| spl3_5
| ~ spl3_9
| ~ spl3_13
| ~ spl3_19 ),
inference(forward_demodulation,[],[f728,f547]) ).
fof(f728,plain,
( sk_c6 != multiply(identity,sk_c5)
| ~ spl3_2
| spl3_5
| ~ spl3_13
| ~ spl3_19 ),
inference(forward_demodulation,[],[f60,f650]) ).
fof(f650,plain,
( identity = sk_c4
| ~ spl3_2
| ~ spl3_13
| ~ spl3_19 ),
inference(backward_demodulation,[],[f383,f519]) ).
fof(f383,plain,
( sk_c7 = sk_c4
| ~ spl3_2
| ~ spl3_13 ),
inference(backward_demodulation,[],[f178,f379]) ).
fof(f379,plain,
( sk_c7 = multiply(inverse(sk_c6),identity)
| ~ spl3_13 ),
inference(superposition,[],[f170,f98]) ).
fof(f98,plain,
( inverse(sk_c7) = sk_c6
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl3_13
<=> inverse(sk_c7) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f178,plain,
( sk_c4 = multiply(inverse(sk_c6),identity)
| ~ spl3_2 ),
inference(superposition,[],[f155,f143]) ).
fof(f143,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl3_2 ),
inference(superposition,[],[f2,f48]) ).
fof(f48,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl3_2
<=> sk_c6 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f60,plain,
( sk_c6 != multiply(sk_c4,sk_c5)
| spl3_5 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl3_5
<=> sk_c6 = multiply(sk_c4,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f721,plain,
( ~ spl3_1
| ~ spl3_9
| ~ spl3_12
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f720]) ).
fof(f720,plain,
( $false
| ~ spl3_1
| ~ spl3_9
| ~ spl3_12
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f719]) ).
fof(f719,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_9
| ~ spl3_12
| ~ spl3_19 ),
inference(superposition,[],[f714,f290]) ).
fof(f714,plain,
( identity != inverse(identity)
| ~ spl3_1
| ~ spl3_9
| ~ spl3_12
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f707]) ).
fof(f707,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl3_1
| ~ spl3_9
| ~ spl3_12
| ~ spl3_19 ),
inference(superposition,[],[f706,f1]) ).
fof(f706,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl3_1
| ~ spl3_9
| ~ spl3_12
| ~ spl3_19 ),
inference(forward_demodulation,[],[f705,f547]) ).
fof(f705,plain,
( ! [X3] :
( sk_c6 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl3_12
| ~ spl3_19 ),
inference(forward_demodulation,[],[f704,f519]) ).
fof(f704,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| identity != inverse(X3) )
| ~ spl3_12
| ~ spl3_19 ),
inference(forward_demodulation,[],[f94,f519]) ).
fof(f94,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl3_12
<=> ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f641,plain,
( ~ spl3_19
| ~ spl3_1
| ~ spl3_9
| ~ spl3_13
| ~ spl3_14 ),
inference(avatar_split_clause,[],[f620,f101,f97,f78,f42,f518]) ).
fof(f101,plain,
( spl3_14
<=> ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f620,plain,
( identity != sk_c7
| ~ spl3_1
| ~ spl3_9
| ~ spl3_13
| ~ spl3_14 ),
inference(backward_demodulation,[],[f546,f551]) ).
fof(f551,plain,
( identity = inverse(sk_c7)
| ~ spl3_1
| ~ spl3_9
| ~ spl3_13 ),
inference(backward_demodulation,[],[f98,f547]) ).
fof(f546,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl3_1
| ~ spl3_9
| ~ spl3_14 ),
inference(trivial_inequality_removal,[],[f543]) ).
fof(f543,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c7)
| ~ spl3_1
| ~ spl3_9
| ~ spl3_14 ),
inference(superposition,[],[f102,f491]) ).
fof(f102,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5) )
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f619,plain,
( spl3_19
| ~ spl3_1
| ~ spl3_9
| ~ spl3_13 ),
inference(avatar_split_clause,[],[f618,f97,f78,f42,f518]) ).
fof(f618,plain,
( identity = sk_c7
| ~ spl3_1
| ~ spl3_9
| ~ spl3_13 ),
inference(forward_demodulation,[],[f561,f2]) ).
fof(f561,plain,
( sk_c7 = multiply(inverse(identity),identity)
| ~ spl3_1
| ~ spl3_9
| ~ spl3_13 ),
inference(backward_demodulation,[],[f379,f547]) ).
fof(f344,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f343]) ).
fof(f343,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f342]) ).
fof(f342,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17 ),
inference(superposition,[],[f337,f236]) ).
fof(f236,plain,
( identity = inverse(identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17 ),
inference(backward_demodulation,[],[f210,f235]) ).
fof(f235,plain,
( identity = sk_c4
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f234,f2]) ).
fof(f234,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f178,f209]) ).
fof(f209,plain,
( identity = sk_c6
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17 ),
inference(backward_demodulation,[],[f183,f205]) ).
fof(f205,plain,
( identity = sk_c7
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f204,f2]) ).
fof(f204,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f199,f200]) ).
fof(f200,plain,
( sk_c7 = sk_c5
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f186,f196]) ).
fof(f196,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17 ),
inference(backward_demodulation,[],[f162,f183]) ).
fof(f162,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl3_10
| ~ spl3_17 ),
inference(superposition,[],[f154,f85]) ).
fof(f85,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl3_10
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f154,plain,
( ! [X8] : multiply(sk_c7,multiply(sk_c3,X8)) = X8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f148,f1]) ).
fof(f148,plain,
( ! [X8] : multiply(sk_c7,multiply(sk_c3,X8)) = multiply(identity,X8)
| ~ spl3_17 ),
inference(superposition,[],[f3,f144]) ).
fof(f144,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl3_17 ),
inference(superposition,[],[f2,f116]) ).
fof(f116,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl3_17
<=> sk_c7 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f186,plain,
( sk_c5 = multiply(sk_c7,sk_c7)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8 ),
inference(backward_demodulation,[],[f75,f183]) ).
fof(f75,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f199,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c5)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8 ),
inference(backward_demodulation,[],[f176,f183]) ).
fof(f176,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c5)
| ~ spl3_8 ),
inference(superposition,[],[f155,f75]) ).
fof(f183,plain,
( sk_c7 = sk_c6
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8 ),
inference(forward_demodulation,[],[f177,f176]) ).
fof(f177,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c5)
| ~ spl3_2
| ~ spl3_5 ),
inference(superposition,[],[f155,f158]) ).
fof(f158,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl3_2
| ~ spl3_5 ),
inference(superposition,[],[f153,f61]) ).
fof(f61,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f153,plain,
( ! [X10] : multiply(sk_c6,multiply(sk_c4,X10)) = X10
| ~ spl3_2 ),
inference(forward_demodulation,[],[f150,f1]) ).
fof(f150,plain,
( ! [X10] : multiply(sk_c6,multiply(sk_c4,X10)) = multiply(identity,X10)
| ~ spl3_2 ),
inference(superposition,[],[f3,f143]) ).
fof(f210,plain,
( identity = inverse(sk_c4)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17 ),
inference(backward_demodulation,[],[f184,f205]) ).
fof(f184,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8 ),
inference(backward_demodulation,[],[f48,f183]) ).
fof(f337,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f330]) ).
fof(f330,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17 ),
inference(superposition,[],[f329,f1]) ).
fof(f329,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f328,f205]) ).
fof(f328,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c7 != multiply(X4,identity) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f327,f216]) ).
fof(f216,plain,
( identity = sk_c5
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17 ),
inference(backward_demodulation,[],[f200,f205]) ).
fof(f327,plain,
( ! [X4] :
( sk_c5 != inverse(X4)
| sk_c7 != multiply(X4,identity) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f56,f216]) ).
fof(f326,plain,
( ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f325]) ).
fof(f325,plain,
( $false
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17
| ~ spl3_18 ),
inference(trivial_inequality_removal,[],[f324]) ).
fof(f324,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17
| ~ spl3_18 ),
inference(superposition,[],[f319,f236]) ).
fof(f319,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17
| ~ spl3_18 ),
inference(trivial_inequality_removal,[],[f312]) ).
fof(f312,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17
| ~ spl3_18 ),
inference(superposition,[],[f311,f1]) ).
fof(f311,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17
| ~ spl3_18 ),
inference(forward_demodulation,[],[f310,f209]) ).
fof(f310,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c6 != multiply(X6,identity) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17
| ~ spl3_18 ),
inference(forward_demodulation,[],[f309,f209]) ).
fof(f309,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,identity) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17
| ~ spl3_18 ),
inference(forward_demodulation,[],[f125,f216]) ).
fof(f308,plain,
( ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_14
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f307]) ).
fof(f307,plain,
( $false
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_14
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f306]) ).
fof(f306,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_14
| ~ spl3_17 ),
inference(superposition,[],[f301,f236]) ).
fof(f301,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_14
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f294]) ).
fof(f294,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_14
| ~ spl3_17 ),
inference(superposition,[],[f283,f1]) ).
fof(f283,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_14
| ~ spl3_17 ),
inference(forward_demodulation,[],[f282,f205]) ).
fof(f282,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| identity != multiply(X5,identity) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_14
| ~ spl3_17 ),
inference(forward_demodulation,[],[f281,f205]) ).
fof(f281,plain,
( ! [X5] :
( sk_c7 != multiply(X5,identity)
| sk_c7 != inverse(X5) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_14
| ~ spl3_17 ),
inference(forward_demodulation,[],[f102,f209]) ).
fof(f280,plain,
( ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_12
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f279]) ).
fof(f279,plain,
( $false
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_12
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f278]) ).
fof(f278,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_12
| ~ spl3_17 ),
inference(superposition,[],[f277,f236]) ).
fof(f277,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_12
| ~ spl3_17 ),
inference(forward_demodulation,[],[f276,f236]) ).
fof(f276,plain,
( identity != inverse(inverse(identity))
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_12
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f274]) ).
fof(f274,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_12
| ~ spl3_17 ),
inference(superposition,[],[f271,f2]) ).
fof(f271,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_12
| ~ spl3_17 ),
inference(forward_demodulation,[],[f270,f209]) ).
fof(f270,plain,
( ! [X3] :
( sk_c6 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_12
| ~ spl3_17 ),
inference(forward_demodulation,[],[f269,f205]) ).
fof(f269,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_12
| ~ spl3_17 ),
inference(forward_demodulation,[],[f94,f205]) ).
fof(f265,plain,
( ~ spl3_2
| ~ spl3_5
| spl3_6
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f264]) ).
fof(f264,plain,
( $false
| ~ spl3_2
| ~ spl3_5
| spl3_6
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f263]) ).
fof(f263,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_5
| spl3_6
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17 ),
inference(superposition,[],[f262,f205]) ).
fof(f262,plain,
( identity != sk_c7
| ~ spl3_2
| ~ spl3_5
| spl3_6
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f261,f1]) ).
fof(f261,plain,
( sk_c7 != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_5
| spl3_6
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f260,f216]) ).
fof(f260,plain,
( sk_c7 != multiply(sk_c5,identity)
| ~ spl3_2
| ~ spl3_5
| spl3_6
| ~ spl3_8
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f64,f209]) ).
fof(f64,plain,
( sk_c7 != multiply(sk_c5,sk_c6)
| spl3_6 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f256,plain,
( ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| spl3_13
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f255]) ).
fof(f255,plain,
( $false
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| spl3_13
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f252]) ).
fof(f252,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| spl3_13
| ~ spl3_17 ),
inference(superposition,[],[f224,f236]) ).
fof(f224,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| spl3_13
| ~ spl3_17 ),
inference(forward_demodulation,[],[f188,f205]) ).
fof(f188,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_8
| spl3_13 ),
inference(backward_demodulation,[],[f99,f183]) ).
fof(f99,plain,
( inverse(sk_c7) != sk_c6
| spl3_13 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f142,plain,
( spl3_5
| spl3_1 ),
inference(avatar_split_clause,[],[f18,f42,f59]) ).
fof(f18,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f141,plain,
( spl3_2
| spl3_9 ),
inference(avatar_split_clause,[],[f12,f78,f46]) ).
fof(f12,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f140,plain,
( spl3_6
| spl3_8 ),
inference(avatar_split_clause,[],[f19,f73,f63]) ).
fof(f19,axiom,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f139,plain,
( spl3_17
| spl3_6 ),
inference(avatar_split_clause,[],[f20,f63,f114]) ).
fof(f20,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f137,plain,
( spl3_7
| spl3_17 ),
inference(avatar_split_clause,[],[f30,f114,f68]) ).
fof(f30,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c5 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f136,plain,
( spl3_9
| spl3_10 ),
inference(avatar_split_clause,[],[f11,f83,f78]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f134,plain,
( spl3_1
| spl3_17 ),
inference(avatar_split_clause,[],[f15,f114,f42]) ).
fof(f15,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f133,plain,
( spl3_8
| spl3_13 ),
inference(avatar_split_clause,[],[f4,f97,f73]) ).
fof(f4,axiom,
( inverse(sk_c7) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f132,plain,
( spl3_6
| spl3_10 ),
inference(avatar_split_clause,[],[f21,f83,f63]) ).
fof(f21,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f130,plain,
( spl3_7
| spl3_10 ),
inference(avatar_split_clause,[],[f31,f83,f68]) ).
fof(f31,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c5 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f129,plain,
( spl3_5
| spl3_13 ),
inference(avatar_split_clause,[],[f8,f97,f59]) ).
fof(f8,axiom,
( inverse(sk_c7) = sk_c6
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f128,plain,
( spl3_5
| spl3_9 ),
inference(avatar_split_clause,[],[f13,f78,f59]) ).
fof(f13,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f127,plain,
( spl3_17
| spl3_9 ),
inference(avatar_split_clause,[],[f10,f78,f114]) ).
fof(f10,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f126,plain,
( spl3_15
| spl3_18 ),
inference(avatar_split_clause,[],[f37,f124,f104]) ).
fof(f104,plain,
( spl3_15
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f37,plain,
! [X6] :
( sk_c6 != inverse(X6)
| sP1
| sk_c6 != multiply(X6,sk_c5) ),
inference(cnf_transformation,[],[f37_D]) ).
fof(f37_D,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c5) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f122,plain,
( spl3_5
| spl3_7 ),
inference(avatar_split_clause,[],[f33,f68,f59]) ).
fof(f33,axiom,
( sk_c5 = inverse(sk_c2)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f121,plain,
( spl3_8
| spl3_1 ),
inference(avatar_split_clause,[],[f14,f42,f73]) ).
fof(f14,axiom,
( sk_c7 = inverse(sk_c1)
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f120,plain,
( spl3_10
| spl3_13 ),
inference(avatar_split_clause,[],[f6,f97,f83]) ).
fof(f6,axiom,
( inverse(sk_c7) = sk_c6
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f119,plain,
( spl3_2
| spl3_13 ),
inference(avatar_split_clause,[],[f7,f97,f46]) ).
fof(f7,axiom,
( inverse(sk_c7) = sk_c6
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f117,plain,
( spl3_17
| spl3_13 ),
inference(avatar_split_clause,[],[f5,f97,f114]) ).
fof(f5,axiom,
( inverse(sk_c7) = sk_c6
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f107,plain,
( ~ spl3_6
| ~ spl3_11
| ~ spl3_13
| spl3_14
| ~ spl3_15
| ~ spl3_8
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f40,f51,f73,f104,f101,f97,f89,f63]) ).
fof(f89,plain,
( spl3_11
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f51,plain,
( spl3_3
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f40,plain,
! [X5] :
( ~ sP2
| multiply(sk_c6,sk_c7) != sk_c5
| ~ sP1
| sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6)
| inverse(sk_c7) != sk_c6
| ~ sP0
| sk_c7 != multiply(sk_c5,sk_c6) ),
inference(general_splitting,[],[f38,f39_D]) ).
fof(f39,plain,
! [X4] :
( sk_c7 != multiply(X4,sk_c5)
| sk_c5 != inverse(X4)
| sP2 ),
inference(cnf_transformation,[],[f39_D]) ).
fof(f39_D,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c5)
| sk_c5 != inverse(X4) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f38,plain,
! [X4,X5] :
( sk_c7 != multiply(X4,sk_c5)
| sk_c7 != multiply(sk_c5,sk_c6)
| inverse(sk_c7) != sk_c6
| sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6)
| sk_c5 != inverse(X4)
| multiply(sk_c6,sk_c7) != sk_c5
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f36,f37_D]) ).
fof(f36,plain,
! [X6,X4,X5] :
( sk_c7 != multiply(X4,sk_c5)
| sk_c7 != multiply(sk_c5,sk_c6)
| inverse(sk_c7) != sk_c6
| sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6)
| sk_c5 != inverse(X4)
| multiply(sk_c6,sk_c7) != sk_c5
| sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c5)
| ~ sP0 ),
inference(general_splitting,[],[f34,f35_D]) ).
fof(f35,plain,
! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7)
| sP0 ),
inference(cnf_transformation,[],[f35_D]) ).
fof(f35_D,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f34,axiom,
! [X3,X6,X4,X5] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != multiply(X4,sk_c5)
| sk_c7 != multiply(sk_c5,sk_c6)
| inverse(sk_c7) != sk_c6
| sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6)
| sk_c5 != inverse(X4)
| sk_c7 != inverse(X3)
| multiply(sk_c6,sk_c7) != sk_c5
| sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f95,plain,
( spl3_11
| spl3_12 ),
inference(avatar_split_clause,[],[f35,f93,f89]) ).
fof(f87,plain,
( spl3_6
| spl3_2 ),
inference(avatar_split_clause,[],[f22,f46,f63]) ).
fof(f22,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f86,plain,
( spl3_10
| spl3_1 ),
inference(avatar_split_clause,[],[f16,f42,f83]) ).
fof(f16,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f81,plain,
( spl3_9
| spl3_8 ),
inference(avatar_split_clause,[],[f9,f73,f78]) ).
fof(f9,axiom,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f76,plain,
( spl3_8
| spl3_7 ),
inference(avatar_split_clause,[],[f29,f68,f73]) ).
fof(f29,axiom,
( sk_c5 = inverse(sk_c2)
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f71,plain,
( spl3_7
| spl3_2 ),
inference(avatar_split_clause,[],[f32,f46,f68]) ).
fof(f32,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c5 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f66,plain,
( spl3_5
| spl3_6 ),
inference(avatar_split_clause,[],[f23,f63,f59]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f57,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f39,f55,f51]) ).
fof(f49,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f17,f46,f42]) ).
fof(f17,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP376-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % 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 : n029.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 22:36:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.49 % (22986)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50 % (22981)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.50 % (23002)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.50 % (22989)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50 % (22986)Instruction limit reached!
% 0.20/0.50 % (22986)------------------------------
% 0.20/0.50 % (22986)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (22994)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.51 % (22991)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51 % (22986)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (22986)Termination reason: Unknown
% 0.20/0.51 % (22986)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (22986)Memory used [KB]: 5500
% 0.20/0.51 % (22986)Time elapsed: 0.099 s
% 0.20/0.51 % (22986)Instructions burned: 8 (million)
% 0.20/0.51 % (22986)------------------------------
% 0.20/0.51 % (22986)------------------------------
% 0.20/0.51 % (22997)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (23003)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.52 % (22980)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (22999)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.52 % (22979)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53 % (23001)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.53 % (22983)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (22989)First to succeed.
% 0.20/0.53 % (22996)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.53 % (22982)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (23008)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.53 % (22989)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (22989)------------------------------
% 0.20/0.53 % (22989)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (22989)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (22989)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (22989)Memory used [KB]: 5884
% 0.20/0.53 % (22989)Time elapsed: 0.107 s
% 0.20/0.53 % (22989)Instructions burned: 25 (million)
% 0.20/0.53 % (22989)------------------------------
% 0.20/0.53 % (22989)------------------------------
% 0.20/0.53 % (22978)Success in time 0.18 s
%------------------------------------------------------------------------------