TSTP Solution File: GRP263-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP263-1 : 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 : n025.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 16:21:05 EDT 2022
% Result : Unsatisfiable 1.72s 0.57s
% Output : Refutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 71
% Syntax : Number of formulae : 282 ( 11 unt; 0 def)
% Number of atoms : 844 ( 324 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 1049 ( 487 ~; 533 |; 0 &)
% ( 29 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 31 ( 29 usr; 30 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 67 ( 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f956,plain,
$false,
inference(avatar_sat_refutation,[],[f65,f74,f83,f88,f93,f98,f99,f104,f105,f114,f115,f116,f121,f122,f123,f125,f126,f128,f129,f131,f137,f139,f144,f146,f147,f148,f149,f150,f151,f153,f154,f164,f165,f166,f167,f169,f171,f172,f176,f203,f205,f229,f231,f290,f302,f323,f327,f337,f380,f384,f418,f470,f607,f660,f728,f792,f898,f901,f906,f955]) ).
fof(f955,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_22
| ~ spl0_27
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f954]) ).
fof(f954,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_22
| ~ spl0_27
| ~ spl0_32 ),
inference(subsumption_resolution,[],[f953,f202]) ).
fof(f202,plain,
( identity != sk_c9
| spl0_22 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f200,plain,
( spl0_22
<=> identity = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f953,plain,
( identity = sk_c9
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_27
| ~ spl0_32 ),
inference(forward_demodulation,[],[f952,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f952,plain,
( sk_c9 = multiply(identity,identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_27
| ~ spl0_32 ),
inference(forward_demodulation,[],[f951,f919]) ).
fof(f919,plain,
( identity = sk_c4
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_27
| ~ spl0_32 ),
inference(forward_demodulation,[],[f756,f234]) ).
fof(f234,plain,
( identity = sk_c10
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f233,plain,
( spl0_27
<=> identity = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f756,plain,
( sk_c10 = sk_c4
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_32 ),
inference(backward_demodulation,[],[f738,f752]) ).
fof(f752,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_9
| ~ spl0_11
| ~ spl0_32 ),
inference(forward_demodulation,[],[f751,f1]) ).
fof(f751,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,X0)
| ~ spl0_9
| ~ spl0_11
| ~ spl0_32 ),
inference(forward_demodulation,[],[f750,f720]) ).
fof(f720,plain,
( identity = sk_c3
| ~ spl0_9
| ~ spl0_32 ),
inference(forward_demodulation,[],[f677,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f677,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl0_9
| ~ spl0_32 ),
inference(backward_demodulation,[],[f559,f281]) ).
fof(f281,plain,
( identity = sk_c11
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f280,plain,
( spl0_32
<=> identity = sk_c11 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f559,plain,
( sk_c3 = multiply(inverse(sk_c11),identity)
| ~ spl0_9 ),
inference(superposition,[],[f306,f97]) ).
fof(f97,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl0_9
<=> sk_c11 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f306,plain,
! [X1] : multiply(inverse(inverse(X1)),identity) = X1,
inference(superposition,[],[f249,f2]) ).
fof(f249,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3,
inference(forward_demodulation,[],[f242,f1]) ).
fof(f242,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(f750,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c3,X0)
| ~ spl0_11
| ~ spl0_32 ),
inference(forward_demodulation,[],[f683,f1]) ).
fof(f683,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c3,multiply(identity,X0))
| ~ spl0_11
| ~ spl0_32 ),
inference(backward_demodulation,[],[f629,f281]) ).
fof(f629,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| ~ spl0_11 ),
inference(superposition,[],[f3,f109]) ).
fof(f109,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl0_11
<=> sk_c10 = multiply(sk_c3,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f738,plain,
( sk_c4 = multiply(sk_c10,sk_c10)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_32 ),
inference(backward_demodulation,[],[f699,f732]) ).
fof(f732,plain,
( sk_c4 = sk_c8
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_15
| ~ spl0_32 ),
inference(forward_demodulation,[],[f682,f700]) ).
fof(f700,plain,
( sk_c4 = multiply(sk_c8,identity)
| ~ spl0_7
| ~ spl0_13
| ~ spl0_15
| ~ spl0_32 ),
inference(backward_demodulation,[],[f611,f689]) ).
fof(f689,plain,
( sk_c8 = inverse(sk_c10)
| ~ spl0_7
| ~ spl0_15
| ~ spl0_32 ),
inference(backward_demodulation,[],[f87,f688]) ).
fof(f688,plain,
( sk_c10 = sk_c5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_32 ),
inference(backward_demodulation,[],[f555,f685]) ).
fof(f685,plain,
( sk_c10 = multiply(inverse(sk_c8),identity)
| ~ spl0_15
| ~ spl0_32 ),
inference(backward_demodulation,[],[f633,f281]) ).
fof(f633,plain,
( sk_c10 = multiply(inverse(sk_c8),sk_c11)
| ~ spl0_15 ),
inference(superposition,[],[f249,f143]) ).
fof(f143,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl0_15
<=> sk_c11 = multiply(sk_c8,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f555,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl0_7 ),
inference(superposition,[],[f306,f87]) ).
fof(f87,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f85,plain,
( spl0_7
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f611,plain,
( sk_c4 = multiply(inverse(sk_c10),identity)
| ~ spl0_13 ),
inference(superposition,[],[f306,f120]) ).
fof(f120,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl0_13
<=> sk_c10 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f682,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_32 ),
inference(backward_demodulation,[],[f627,f281]) ).
fof(f627,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f625,f87]) ).
fof(f625,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c11)
| ~ spl0_5 ),
inference(superposition,[],[f249,f78]) ).
fof(f78,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl0_5
<=> sk_c11 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f699,plain,
( sk_c8 = multiply(sk_c10,sk_c10)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14
| ~ spl0_15
| ~ spl0_32 ),
inference(backward_demodulation,[],[f641,f688]) ).
fof(f641,plain,
( sk_c8 = multiply(sk_c5,sk_c5)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f639,f583]) ).
fof(f583,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10 ),
inference(backward_demodulation,[],[f60,f580]) ).
fof(f580,plain,
( sk_c5 = sk_c6
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f577,f555]) ).
fof(f577,plain,
( sk_c6 = multiply(inverse(sk_c8),identity)
| ~ spl0_10 ),
inference(superposition,[],[f306,f103]) ).
fof(f103,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl0_10
<=> sk_c8 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f60,plain,
( inverse(sk_c7) = sk_c6
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl0_1
<=> inverse(sk_c7) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f639,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c5)
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14 ),
inference(superposition,[],[f249,f584]) ).
fof(f584,plain,
( sk_c5 = multiply(sk_c7,sk_c8)
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14 ),
inference(backward_demodulation,[],[f135,f580]) ).
fof(f135,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl0_14
<=> sk_c6 = multiply(sk_c7,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f951,plain,
( sk_c9 = multiply(sk_c4,identity)
| ~ spl0_3
| ~ spl0_27 ),
inference(forward_demodulation,[],[f69,f234]) ).
fof(f69,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl0_3
<=> multiply(sk_c4,sk_c10) = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f906,plain,
( spl0_21
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f905]) ).
fof(f905,plain,
( $false
| spl0_21
| ~ spl0_27 ),
inference(subsumption_resolution,[],[f904,f449]) ).
fof(f449,plain,
identity = inverse(identity),
inference(superposition,[],[f306,f442]) ).
fof(f442,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f249,f306]) ).
fof(f904,plain,
( identity != inverse(identity)
| spl0_21
| ~ spl0_27 ),
inference(forward_demodulation,[],[f903,f449]) ).
fof(f903,plain,
( identity != inverse(inverse(identity))
| spl0_21
| ~ spl0_27 ),
inference(forward_demodulation,[],[f198,f234]) ).
fof(f198,plain,
( sk_c10 != inverse(inverse(sk_c10))
| spl0_21 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f196,plain,
( spl0_21
<=> sk_c10 = inverse(inverse(sk_c10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f901,plain,
spl0_36,
inference(avatar_contradiction_clause,[],[f900]) ).
fof(f900,plain,
( $false
| spl0_36 ),
inference(subsumption_resolution,[],[f899,f449]) ).
fof(f899,plain,
( identity != inverse(identity)
| spl0_36 ),
inference(forward_demodulation,[],[f298,f449]) ).
fof(f298,plain,
( inverse(identity) != inverse(inverse(identity))
| spl0_36 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f296,plain,
( spl0_36
<=> inverse(identity) = inverse(inverse(identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f898,plain,
( ~ spl0_32
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f897]) ).
fof(f897,plain,
( $false
| ~ spl0_32
| ~ spl0_37 ),
inference(subsumption_resolution,[],[f896,f449]) ).
fof(f896,plain,
( identity != inverse(identity)
| ~ spl0_32
| ~ spl0_37 ),
inference(forward_demodulation,[],[f885,f449]) ).
fof(f885,plain,
( identity != inverse(inverse(identity))
| ~ spl0_32
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f882]) ).
fof(f882,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl0_32
| ~ spl0_37 ),
inference(superposition,[],[f675,f2]) ).
fof(f675,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl0_32
| ~ spl0_37 ),
inference(backward_demodulation,[],[f516,f281]) ).
fof(f516,plain,
( ! [X0] :
( identity != inverse(X0)
| sk_c11 != multiply(X0,identity) )
| ~ spl0_37 ),
inference(forward_demodulation,[],[f515,f449]) ).
fof(f515,plain,
( ! [X0] :
( inverse(X0) != inverse(identity)
| sk_c11 != multiply(X0,identity) )
| ~ spl0_37 ),
inference(forward_demodulation,[],[f514,f449]) ).
fof(f514,plain,
( ! [X0] :
( sk_c11 != multiply(X0,inverse(identity))
| inverse(X0) != inverse(identity) )
| ~ spl0_37 ),
inference(forward_demodulation,[],[f513,f449]) ).
fof(f513,plain,
( ! [X0] :
( inverse(X0) != inverse(inverse(identity))
| sk_c11 != multiply(X0,inverse(identity)) )
| ~ spl0_37 ),
inference(forward_demodulation,[],[f301,f449]) ).
fof(f301,plain,
( ! [X0] :
( sk_c11 != multiply(X0,inverse(inverse(identity)))
| inverse(X0) != inverse(inverse(identity)) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f300,plain,
( spl0_37
<=> ! [X0] :
( sk_c11 != multiply(X0,inverse(inverse(identity)))
| inverse(X0) != inverse(inverse(identity)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f792,plain,
( spl0_26
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f791]) ).
fof(f791,plain,
( $false
| spl0_26
| ~ spl0_32 ),
inference(subsumption_resolution,[],[f546,f281]) ).
fof(f546,plain,
( identity != sk_c11
| spl0_26 ),
inference(forward_demodulation,[],[f228,f449]) ).
fof(f228,plain,
( sk_c11 != inverse(identity)
| spl0_26 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f226,plain,
( spl0_26
<=> sk_c11 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f728,plain,
( ~ spl0_9
| ~ spl0_11
| spl0_27
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f727]) ).
fof(f727,plain,
( $false
| ~ spl0_9
| ~ spl0_11
| spl0_27
| ~ spl0_32 ),
inference(subsumption_resolution,[],[f726,f235]) ).
fof(f235,plain,
( identity != sk_c10
| spl0_27 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f726,plain,
( identity = sk_c10
| ~ spl0_9
| ~ spl0_11
| ~ spl0_32 ),
inference(forward_demodulation,[],[f724,f1]) ).
fof(f724,plain,
( sk_c10 = multiply(identity,identity)
| ~ spl0_9
| ~ spl0_11
| ~ spl0_32 ),
inference(backward_demodulation,[],[f664,f720]) ).
fof(f664,plain,
( sk_c10 = multiply(sk_c3,identity)
| ~ spl0_11
| ~ spl0_32 ),
inference(backward_demodulation,[],[f109,f281]) ).
fof(f660,plain,
( ~ spl0_5
| ~ spl0_7
| spl0_32 ),
inference(avatar_contradiction_clause,[],[f659]) ).
fof(f659,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| spl0_32 ),
inference(subsumption_resolution,[],[f658,f282]) ).
fof(f282,plain,
( identity != sk_c11
| spl0_32 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f658,plain,
( identity = sk_c11
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f656,f2]) ).
fof(f656,plain,
( sk_c11 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f249,f627]) ).
fof(f607,plain,
( spl0_8
| ~ spl0_22
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f606]) ).
fof(f606,plain,
( $false
| spl0_8
| ~ spl0_22
| ~ spl0_35 ),
inference(subsumption_resolution,[],[f605,f495]) ).
fof(f495,plain,
( sk_c11 = multiply(identity,sk_c10)
| ~ spl0_35 ),
inference(forward_demodulation,[],[f494,f449]) ).
fof(f494,plain,
( sk_c11 = multiply(inverse(identity),sk_c10)
| ~ spl0_35 ),
inference(forward_demodulation,[],[f293,f449]) ).
fof(f293,plain,
( sk_c11 = multiply(inverse(inverse(identity)),sk_c10)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f292,plain,
( spl0_35
<=> sk_c11 = multiply(inverse(inverse(identity)),sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f605,plain,
( sk_c11 != multiply(identity,sk_c10)
| spl0_8
| ~ spl0_22 ),
inference(forward_demodulation,[],[f91,f201]) ).
fof(f201,plain,
( identity = sk_c9
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f91,plain,
( sk_c11 != multiply(sk_c9,sk_c10)
| spl0_8 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f90,plain,
( spl0_8
<=> sk_c11 = multiply(sk_c9,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f470,plain,
( ~ spl0_4
| ~ spl0_27
| ~ spl0_32
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f469]) ).
fof(f469,plain,
( $false
| ~ spl0_4
| ~ spl0_27
| ~ spl0_32
| ~ spl0_34 ),
inference(subsumption_resolution,[],[f457,f371]) ).
fof(f371,plain,
( identity = inverse(identity)
| ~ spl0_4
| ~ spl0_27 ),
inference(backward_demodulation,[],[f338,f369]) ).
fof(f369,plain,
( identity = sk_c2
| ~ spl0_4
| ~ spl0_27 ),
inference(forward_demodulation,[],[f349,f2]) ).
fof(f349,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl0_4
| ~ spl0_27 ),
inference(backward_demodulation,[],[f317,f234]) ).
fof(f317,plain,
( sk_c2 = multiply(inverse(sk_c10),identity)
| ~ spl0_4 ),
inference(superposition,[],[f249,f177]) ).
fof(f177,plain,
( identity = multiply(sk_c10,sk_c2)
| ~ spl0_4 ),
inference(superposition,[],[f2,f73]) ).
fof(f73,plain,
( sk_c10 = inverse(sk_c2)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl0_4
<=> sk_c10 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f338,plain,
( identity = inverse(sk_c2)
| ~ spl0_4
| ~ spl0_27 ),
inference(backward_demodulation,[],[f73,f234]) ).
fof(f457,plain,
( identity != inverse(identity)
| ~ spl0_4
| ~ spl0_27
| ~ spl0_32
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f453]) ).
fof(f453,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_4
| ~ spl0_27
| ~ spl0_32
| ~ spl0_34 ),
inference(superposition,[],[f413,f1]) ).
fof(f413,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl0_4
| ~ spl0_27
| ~ spl0_32
| ~ spl0_34 ),
inference(forward_demodulation,[],[f412,f281]) ).
fof(f412,plain,
( ! [X0] :
( identity != inverse(X0)
| sk_c11 != multiply(X0,identity) )
| ~ spl0_4
| ~ spl0_27
| ~ spl0_34 ),
inference(forward_demodulation,[],[f411,f371]) ).
fof(f411,plain,
( ! [X0] :
( inverse(X0) != inverse(identity)
| sk_c11 != multiply(X0,identity) )
| ~ spl0_4
| ~ spl0_27
| ~ spl0_34 ),
inference(forward_demodulation,[],[f410,f371]) ).
fof(f410,plain,
( ! [X0] :
( sk_c11 != multiply(X0,inverse(identity))
| inverse(X0) != inverse(identity) )
| ~ spl0_27
| ~ spl0_34 ),
inference(forward_demodulation,[],[f409,f234]) ).
fof(f409,plain,
( ! [X0] :
( inverse(X0) != inverse(sk_c10)
| sk_c11 != multiply(X0,inverse(identity)) )
| ~ spl0_27
| ~ spl0_34 ),
inference(forward_demodulation,[],[f289,f234]) ).
fof(f289,plain,
( ! [X0] :
( inverse(X0) != inverse(sk_c10)
| sk_c11 != multiply(X0,inverse(sk_c10)) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f288,plain,
( spl0_34
<=> ! [X0] :
( sk_c11 != multiply(X0,inverse(sk_c10))
| inverse(X0) != inverse(sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f418,plain,
( ~ spl0_27
| ~ spl0_32
| spl0_35 ),
inference(avatar_contradiction_clause,[],[f417]) ).
fof(f417,plain,
( $false
| ~ spl0_27
| ~ spl0_32
| spl0_35 ),
inference(subsumption_resolution,[],[f416,f281]) ).
fof(f416,plain,
( identity != sk_c11
| ~ spl0_27
| spl0_35 ),
inference(forward_demodulation,[],[f415,f306]) ).
fof(f415,plain,
( sk_c11 != multiply(inverse(inverse(identity)),identity)
| ~ spl0_27
| spl0_35 ),
inference(forward_demodulation,[],[f294,f234]) ).
fof(f294,plain,
( sk_c11 != multiply(inverse(inverse(identity)),sk_c10)
| spl0_35 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f384,plain,
( spl0_32
| ~ spl0_8
| ~ spl0_22
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f383,f233,f200,f90,f280]) ).
fof(f383,plain,
( identity = sk_c11
| ~ spl0_8
| ~ spl0_22
| ~ spl0_27 ),
inference(forward_demodulation,[],[f352,f1]) ).
fof(f352,plain,
( sk_c11 = multiply(identity,identity)
| ~ spl0_8
| ~ spl0_22
| ~ spl0_27 ),
inference(backward_demodulation,[],[f329,f234]) ).
fof(f329,plain,
( sk_c11 = multiply(identity,sk_c10)
| ~ spl0_8
| ~ spl0_22 ),
inference(backward_demodulation,[],[f92,f201]) ).
fof(f92,plain,
( sk_c11 = multiply(sk_c9,sk_c10)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f380,plain,
( ~ spl0_4
| ~ spl0_27
| spl0_33 ),
inference(avatar_contradiction_clause,[],[f379]) ).
fof(f379,plain,
( $false
| ~ spl0_4
| ~ spl0_27
| spl0_33 ),
inference(subsumption_resolution,[],[f378,f1]) ).
fof(f378,plain,
( identity != multiply(identity,identity)
| ~ spl0_4
| ~ spl0_27
| spl0_33 ),
inference(forward_demodulation,[],[f370,f371]) ).
fof(f370,plain,
( identity != multiply(identity,inverse(identity))
| ~ spl0_4
| ~ spl0_27
| spl0_33 ),
inference(backward_demodulation,[],[f347,f369]) ).
fof(f347,plain,
( identity != multiply(sk_c2,inverse(identity))
| ~ spl0_27
| spl0_33 ),
inference(backward_demodulation,[],[f286,f234]) ).
fof(f286,plain,
( sk_c10 != multiply(sk_c2,inverse(sk_c10))
| spl0_33 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f284,plain,
( spl0_33
<=> sk_c10 = multiply(sk_c2,inverse(sk_c10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f337,plain,
( spl0_25
| ~ spl0_8
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f336,f200,f90,f222]) ).
fof(f222,plain,
( spl0_25
<=> sk_c11 = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f336,plain,
( sk_c11 = sk_c10
| ~ spl0_8
| ~ spl0_22 ),
inference(forward_demodulation,[],[f334,f305]) ).
fof(f305,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f249,f1]) ).
fof(f334,plain,
( sk_c10 = multiply(inverse(identity),sk_c11)
| ~ spl0_8
| ~ spl0_22 ),
inference(backward_demodulation,[],[f314,f201]) ).
fof(f314,plain,
( sk_c10 = multiply(inverse(sk_c9),sk_c11)
| ~ spl0_8 ),
inference(superposition,[],[f249,f92]) ).
fof(f327,plain,
( spl0_27
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f326,f111,f80,f233]) ).
fof(f80,plain,
( spl0_6
<=> sk_c11 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f111,plain,
( spl0_12
<=> multiply(sk_c1,sk_c11) = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f326,plain,
( identity = sk_c10
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f315,f2]) ).
fof(f315,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_6
| ~ spl0_12 ),
inference(superposition,[],[f249,f254]) ).
fof(f254,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_6
| ~ spl0_12 ),
inference(superposition,[],[f252,f113]) ).
fof(f113,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f252,plain,
( ! [X8] : multiply(sk_c11,multiply(sk_c1,X8)) = X8
| ~ spl0_6 ),
inference(forward_demodulation,[],[f244,f1]) ).
fof(f244,plain,
( ! [X8] : multiply(identity,X8) = multiply(sk_c11,multiply(sk_c1,X8))
| ~ spl0_6 ),
inference(superposition,[],[f3,f178]) ).
fof(f178,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl0_6 ),
inference(superposition,[],[f2,f82]) ).
fof(f82,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f323,plain,
( spl0_22
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f322,f71,f62,f200]) ).
fof(f62,plain,
( spl0_2
<=> sk_c9 = multiply(sk_c2,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f322,plain,
( identity = sk_c9
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f316,f2]) ).
fof(f316,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f249,f258]) ).
fof(f258,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f253,f64]) ).
fof(f64,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f253,plain,
( ! [X12] : multiply(sk_c10,multiply(sk_c2,X12)) = X12
| ~ spl0_4 ),
inference(forward_demodulation,[],[f248,f1]) ).
fof(f248,plain,
( ! [X12] : multiply(identity,X12) = multiply(sk_c10,multiply(sk_c2,X12))
| ~ spl0_4 ),
inference(superposition,[],[f3,f177]) ).
fof(f302,plain,
( ~ spl0_35
| ~ spl0_36
| spl0_37
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f264,f162,f300,f296,f292]) ).
fof(f162,plain,
( spl0_18
<=> ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(inverse(X9)))
| sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| inverse(X7) != inverse(inverse(X9))
| sk_c11 != multiply(X7,inverse(inverse(X9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f264,plain,
( ! [X0] :
( sk_c11 != multiply(X0,inverse(inverse(identity)))
| inverse(X0) != inverse(inverse(identity))
| inverse(identity) != inverse(inverse(identity))
| sk_c11 != multiply(inverse(inverse(identity)),sk_c10) )
| ~ spl0_18 ),
inference(superposition,[],[f163,f1]) ).
fof(f163,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(inverse(X9)))
| sk_c11 != multiply(X7,inverse(inverse(X9)))
| inverse(X7) != inverse(inverse(X9))
| sk_c11 != multiply(inverse(inverse(X9)),sk_c10) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f290,plain,
( ~ spl0_32
| ~ spl0_33
| spl0_34
| ~ spl0_4
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f278,f162,f71,f288,f284,f280]) ).
fof(f278,plain,
( ! [X0] :
( sk_c11 != multiply(X0,inverse(sk_c10))
| sk_c10 != multiply(sk_c2,inverse(sk_c10))
| inverse(X0) != inverse(sk_c10)
| identity != sk_c11 )
| ~ spl0_4
| ~ spl0_18 ),
inference(forward_demodulation,[],[f262,f2]) ).
fof(f262,plain,
( ! [X0] :
( inverse(X0) != inverse(sk_c10)
| sk_c11 != multiply(inverse(sk_c10),sk_c10)
| sk_c11 != multiply(X0,inverse(sk_c10))
| sk_c10 != multiply(sk_c2,inverse(sk_c10)) )
| ~ spl0_4
| ~ spl0_18 ),
inference(superposition,[],[f163,f73]) ).
fof(f231,plain,
( ~ spl0_6
| ~ spl0_12
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f230]) ).
fof(f230,plain,
( $false
| ~ spl0_6
| ~ spl0_12
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f219,f82]) ).
fof(f219,plain,
( sk_c11 != inverse(sk_c1)
| ~ spl0_12
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f216]) ).
fof(f216,plain,
( sk_c11 != inverse(sk_c1)
| sk_c10 != sk_c10
| ~ spl0_12
| ~ spl0_17 ),
inference(superposition,[],[f160,f113]) ).
fof(f160,plain,
( ! [X5] :
( sk_c10 != multiply(X5,sk_c11)
| sk_c11 != inverse(X5) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f159,plain,
( spl0_17
<=> ! [X5] :
( sk_c10 != multiply(X5,sk_c11)
| sk_c11 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f229,plain,
( ~ spl0_25
| ~ spl0_26
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f217,f159,f226,f222]) ).
fof(f217,plain,
( sk_c11 != inverse(identity)
| sk_c11 != sk_c10
| ~ spl0_17 ),
inference(superposition,[],[f160,f1]) ).
fof(f205,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f204]) ).
fof(f204,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f185,f73]) ).
fof(f185,plain,
( sk_c10 != inverse(sk_c2)
| ~ spl0_2
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f180]) ).
fof(f180,plain,
( sk_c9 != sk_c9
| sk_c10 != inverse(sk_c2)
| ~ spl0_2
| ~ spl0_16 ),
inference(superposition,[],[f157,f64]) ).
fof(f157,plain,
( ! [X4] :
( sk_c9 != multiply(X4,sk_c10)
| sk_c10 != inverse(X4) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f156,plain,
( spl0_16
<=> ! [X4] :
( sk_c10 != inverse(X4)
| sk_c9 != multiply(X4,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f203,plain,
( ~ spl0_21
| ~ spl0_22
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f183,f156,f200,f196]) ).
fof(f183,plain,
( identity != sk_c9
| sk_c10 != inverse(inverse(sk_c10))
| ~ spl0_16 ),
inference(superposition,[],[f157,f2]) ).
fof(f176,plain,
( spl0_8
| spl0_15 ),
inference(avatar_split_clause,[],[f50,f141,f90]) ).
fof(f50,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c11 = multiply(sk_c9,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
fof(f172,plain,
( spl0_4
| spl0_14 ),
inference(avatar_split_clause,[],[f43,f133,f71]) ).
fof(f43,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f171,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f34,f71,f107]) ).
fof(f34,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f169,plain,
( spl0_6
| spl0_11 ),
inference(avatar_split_clause,[],[f14,f107,f80]) ).
fof(f14,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f167,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f9,f85,f111]) ).
fof(f9,axiom,
( sk_c8 = inverse(sk_c5)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f166,plain,
( spl0_4
| spl0_13 ),
inference(avatar_split_clause,[],[f37,f118,f71]) ).
fof(f37,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f165,plain,
( spl0_14
| spl0_2 ),
inference(avatar_split_clause,[],[f33,f62,f133]) ).
fof(f33,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f164,plain,
( spl0_16
| spl0_17
| spl0_18
| ~ spl0_8
| spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f56,f159,f156,f90,f162,f159,f156]) ).
fof(f56,plain,
! [X3,X6,X9,X7,X4,X5] :
( sk_c11 != inverse(X3)
| sk_c10 != inverse(X6)
| sk_c11 != multiply(sk_c9,sk_c10)
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != multiply(X3,sk_c11)
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| sk_c11 != multiply(X7,inverse(inverse(X9)))
| sk_c10 != multiply(X5,sk_c11)
| sk_c10 != inverse(X4)
| sk_c9 != multiply(X4,sk_c10)
| inverse(X7) != inverse(inverse(X9))
| sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| sk_c11 != inverse(X5) ),
inference(equality_resolution,[],[f55]) ).
fof(f55,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c11 != multiply(X8,sk_c10)
| sk_c11 != multiply(X7,X8)
| sk_c10 != multiply(X3,sk_c11)
| sk_c11 != multiply(sk_c9,sk_c10)
| inverse(inverse(X9)) != X8
| sk_c9 != multiply(X4,sk_c10)
| sk_c9 != multiply(X6,sk_c10)
| inverse(X9) != multiply(X9,X8)
| sk_c10 != inverse(X4)
| sk_c10 != inverse(X6)
| inverse(X7) != X8
| sk_c11 != inverse(X3)
| sk_c10 != multiply(X5,sk_c11)
| sk_c11 != inverse(X5) ),
inference(equality_resolution,[],[f54]) ).
fof(f54,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c11 != multiply(X8,sk_c10)
| sk_c11 != multiply(X7,X8)
| sk_c10 != multiply(X3,sk_c11)
| inverse(X9) != X10
| sk_c11 != multiply(sk_c9,sk_c10)
| inverse(X10) != X8
| sk_c9 != multiply(X4,sk_c10)
| sk_c9 != multiply(X6,sk_c10)
| multiply(X9,X8) != X10
| sk_c10 != inverse(X4)
| sk_c10 != inverse(X6)
| inverse(X7) != X8
| sk_c11 != inverse(X3)
| sk_c10 != multiply(X5,sk_c11)
| sk_c11 != inverse(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
fof(f154,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f32,f62,f101]) ).
fof(f32,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c8 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f153,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f44,f90,f107]) ).
fof(f44,axiom,
( sk_c11 = multiply(sk_c9,sk_c10)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f151,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f48,f76,f90]) ).
fof(f48,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c11 = multiply(sk_c9,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
fof(f150,plain,
( spl0_11
| spl0_2 ),
inference(avatar_split_clause,[],[f24,f62,f107]) ).
fof(f24,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f149,plain,
( spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f28,f76,f62]) ).
fof(f28,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f148,plain,
( spl0_14
| spl0_8 ),
inference(avatar_split_clause,[],[f53,f90,f133]) ).
fof(f53,axiom,
( sk_c11 = multiply(sk_c9,sk_c10)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).
fof(f147,plain,
( spl0_1
| spl0_8 ),
inference(avatar_split_clause,[],[f51,f90,f58]) ).
fof(f51,axiom,
( sk_c11 = multiply(sk_c9,sk_c10)
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
fof(f146,plain,
( spl0_2
| spl0_15 ),
inference(avatar_split_clause,[],[f30,f141,f62]) ).
fof(f30,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f144,plain,
( spl0_15
| spl0_4 ),
inference(avatar_split_clause,[],[f40,f71,f141]) ).
fof(f40,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c11 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f139,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f5,f111,f95]) ).
fof(f5,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f137,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f49,f85,f90]) ).
fof(f49,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c11 = multiply(sk_c9,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
fof(f131,plain,
( spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f38,f71,f76]) ).
fof(f38,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f129,plain,
( spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f26,f67,f62]) ).
fof(f26,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f128,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f39,f71,f85]) ).
fof(f39,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f126,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f35,f71,f95]) ).
fof(f35,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f125,plain,
( spl0_2
| spl0_9 ),
inference(avatar_split_clause,[],[f25,f95,f62]) ).
fof(f25,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f123,plain,
( spl0_8
| spl0_10 ),
inference(avatar_split_clause,[],[f52,f101,f90]) ).
fof(f52,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c11 = multiply(sk_c9,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f122,plain,
( spl0_2
| spl0_13 ),
inference(avatar_split_clause,[],[f27,f118,f62]) ).
fof(f27,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f121,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f47,f118,f90]) ).
fof(f47,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c11 = multiply(sk_c9,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
fof(f116,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f8,f76,f111]) ).
fof(f8,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f115,plain,
( spl0_6
| spl0_9 ),
inference(avatar_split_clause,[],[f15,f95,f80]) ).
fof(f15,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f114,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f4,f111,f107]) ).
fof(f4,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f105,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f19,f80,f85]) ).
fof(f19,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f104,plain,
( spl0_4
| spl0_10 ),
inference(avatar_split_clause,[],[f42,f101,f71]) ).
fof(f42,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f99,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f41,f71,f58]) ).
fof(f41,axiom,
( sk_c10 = inverse(sk_c2)
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f98,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f45,f95,f90]) ).
fof(f45,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c11 = multiply(sk_c9,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f93,plain,
( spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f46,f90,f67]) ).
fof(f46,axiom,
( sk_c11 = multiply(sk_c9,sk_c10)
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f88,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f29,f62,f85]) ).
fof(f29,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f83,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f18,f80,f76]) ).
fof(f18,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f74,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f36,f71,f67]) ).
fof(f36,axiom,
( sk_c10 = inverse(sk_c2)
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f65,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f31,f62,f58]) ).
fof(f31,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP263-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 22:32:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (3667)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)
% 0.18/0.49 % (3659)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)
% 0.18/0.49 % (3644)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)
% 0.18/0.50 % (3651)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50 % (3652)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50 % (3652)Instruction limit reached!
% 0.18/0.50 % (3652)------------------------------
% 0.18/0.50 % (3652)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (3652)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (3652)Termination reason: Unknown
% 0.18/0.50 % (3652)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (3652)Memory used [KB]: 5373
% 0.18/0.50 % (3652)Time elapsed: 0.002 s
% 0.18/0.50 % (3652)Instructions burned: 3 (million)
% 0.18/0.50 % (3652)------------------------------
% 0.18/0.50 % (3652)------------------------------
% 0.18/0.50 % (3655)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.50 % (3657)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.50 % (3668)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.50 % (3665)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.51 % (3651)Instruction limit reached!
% 0.18/0.51 % (3651)------------------------------
% 0.18/0.51 % (3651)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (3651)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (3651)Termination reason: Unknown
% 0.18/0.51 % (3651)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (3651)Memory used [KB]: 5500
% 0.18/0.51 % (3651)Time elapsed: 0.067 s
% 0.18/0.51 % (3651)Instructions burned: 7 (million)
% 0.18/0.51 % (3651)------------------------------
% 0.18/0.51 % (3651)------------------------------
% 0.18/0.51 % (3660)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)
% 0.18/0.51 % (3649)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)
% 0.18/0.51 % (3645)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)
% 0.18/0.51 % (3646)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)
% 0.18/0.51 % (3647)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)
% 0.18/0.51 TRYING [1]
% 0.18/0.52 TRYING [2]
% 0.18/0.52 % (3653)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)
% 0.18/0.52 TRYING [3]
% 0.18/0.52 % (3650)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)
% 0.18/0.52 % (3648)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (3666)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)
% 0.18/0.52 % (3654)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52 % (3656)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.53 % (3658)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)
% 0.18/0.53 % (3672)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.53 % (3661)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.53 % (3670)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)
% 0.18/0.53 % (3671)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)
% 0.18/0.53 % (3664)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)
% 0.18/0.53 % (3669)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.54 % (3662)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.54 % (3663)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.54 TRYING [1]
% 0.18/0.54 TRYING [2]
% 0.18/0.55 TRYING [3]
% 1.61/0.55 % (3673)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)
% 1.61/0.55 TRYING [1]
% 1.61/0.55 TRYING [2]
% 1.61/0.56 TRYING [3]
% 1.72/0.56 TRYING [4]
% 1.72/0.57 % (3645)First to succeed.
% 1.72/0.57 % (3646)Instruction limit reached!
% 1.72/0.57 % (3646)------------------------------
% 1.72/0.57 % (3646)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.57 % (3646)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.57 % (3646)Termination reason: Unknown
% 1.72/0.57 % (3646)Termination phase: Saturation
% 1.72/0.57
% 1.72/0.57 % (3646)Memory used [KB]: 1279
% 1.72/0.57 % (3646)Time elapsed: 0.182 s
% 1.72/0.57 % (3646)Instructions burned: 37 (million)
% 1.72/0.57 % (3646)------------------------------
% 1.72/0.57 % (3646)------------------------------
% 1.72/0.57 % (3645)Refutation found. Thanks to Tanya!
% 1.72/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.72/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.72/0.57 % (3645)------------------------------
% 1.72/0.57 % (3645)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.57 % (3645)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.57 % (3645)Termination reason: Refutation
% 1.72/0.57
% 1.72/0.57 % (3645)Memory used [KB]: 5884
% 1.72/0.57 % (3645)Time elapsed: 0.176 s
% 1.72/0.57 % (3645)Instructions burned: 31 (million)
% 1.72/0.57 % (3645)------------------------------
% 1.72/0.57 % (3645)------------------------------
% 1.72/0.57 % (3641)Success in time 0.229 s
%------------------------------------------------------------------------------