TSTP Solution File: GRP386-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP386-1 : 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 16:21:30 EDT 2022
% Result : Unsatisfiable 1.44s 0.59s
% Output : Refutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 63
% Syntax : Number of formulae : 323 ( 11 unt; 0 def)
% Number of atoms : 1699 ( 406 equ)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 2714 (1338 ~;1357 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 116 ( 116 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f955,plain,
$false,
inference(avatar_sat_refutation,[],[f65,f70,f75,f84,f99,f104,f105,f110,f111,f116,f121,f123,f124,f129,f131,f132,f133,f134,f135,f136,f137,f138,f139,f144,f145,f148,f149,f150,f151,f152,f165,f166,f167,f168,f171,f172,f173,f176,f177,f178,f179,f288,f294,f310,f316,f453,f608,f887,f900,f916,f940,f948,f954]) ).
fof(f954,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f953]) ).
fof(f953,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f952]) ).
fof(f952,plain,
( sk_c10 != sk_c10
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19 ),
inference(duplicate_literal_removal,[],[f951]) ).
fof(f951,plain,
( sk_c10 != sk_c10
| sk_c10 != sk_c10
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f950,f869]) ).
fof(f869,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f666,f866]) ).
fof(f866,plain,
( sk_c10 = sk_c2
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f859,f666]) ).
fof(f859,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f802,f849]) ).
fof(f849,plain,
( sk_c10 = sk_c9
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f848,f816]) ).
fof(f816,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14 ),
inference(backward_demodulation,[],[f422,f807]) ).
fof(f807,plain,
( sk_c10 = sk_c7
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_14 ),
inference(backward_demodulation,[],[f92,f799]) ).
fof(f799,plain,
( ! [X4] : multiply(X4,sk_c9) = X4
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_14 ),
inference(backward_demodulation,[],[f587,f797]) ).
fof(f797,plain,
( sk_c9 = sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_14 ),
inference(backward_demodulation,[],[f60,f792]) ).
fof(f792,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_14 ),
inference(backward_demodulation,[],[f625,f791]) ).
fof(f791,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[],[f790,f659]) ).
fof(f659,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c10,X0)) = multiply(sk_c9,X0)
| ~ spl0_5 ),
inference(superposition,[],[f3,f79]) ).
fof(f79,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f77,plain,
( spl0_5
<=> sk_c9 = multiply(sk_c2,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
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(f790,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c10,X0)) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_14 ),
inference(superposition,[],[f201,f666]) ).
fof(f201,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f200,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f200,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f625,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c9,X0)) = X0
| ~ spl0_1
| ~ spl0_14 ),
inference(backward_demodulation,[],[f623,f590]) ).
fof(f590,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_1
| ~ spl0_14 ),
inference(backward_demodulation,[],[f1,f586]) ).
fof(f586,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[],[f583,f2]) ).
fof(f583,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_1
| ~ spl0_14 ),
inference(superposition,[],[f201,f379]) ).
fof(f379,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[],[f376,f128]) ).
fof(f128,plain,
( sk_c9 = inverse(sk_c3)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f126,plain,
( spl0_14
<=> sk_c9 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f376,plain,
( sk_c9 = multiply(inverse(sk_c3),sk_c8)
| ~ spl0_1 ),
inference(superposition,[],[f201,f60]) ).
fof(f623,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c3,multiply(sk_c9,X0))) = X0
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[],[f567,f591]) ).
fof(f591,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_1
| ~ spl0_14 ),
inference(backward_demodulation,[],[f368,f586]) ).
fof(f368,plain,
identity = inverse(identity),
inference(superposition,[],[f204,f216]) ).
fof(f216,plain,
! [X4] : multiply(X4,identity) = X4,
inference(forward_demodulation,[],[f206,f207]) ).
fof(f207,plain,
! [X6,X5] : multiply(X5,X6) = multiply(inverse(inverse(X5)),X6),
inference(superposition,[],[f201,f201]) ).
fof(f206,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f201,f2]) ).
fof(f204,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f201,f1]) ).
fof(f567,plain,
( ! [X0] : multiply(inverse(sk_c8),multiply(sk_c3,multiply(sk_c9,X0))) = X0
| ~ spl0_1 ),
inference(superposition,[],[f201,f377]) ).
fof(f377,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c9,X0)) = multiply(sk_c8,X0)
| ~ spl0_1 ),
inference(superposition,[],[f3,f60]) ).
fof(f60,plain,
( multiply(sk_c3,sk_c9) = sk_c8
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl0_1
<=> multiply(sk_c3,sk_c9) = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f587,plain,
( ! [X4] : multiply(X4,sk_c8) = X4
| ~ spl0_1
| ~ spl0_14 ),
inference(backward_demodulation,[],[f216,f586]) ).
fof(f92,plain,
( sk_c10 = multiply(sk_c7,sk_c9)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f90,plain,
( spl0_8
<=> sk_c10 = multiply(sk_c7,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f422,plain,
( sk_c7 = multiply(sk_c7,sk_c10)
| ~ spl0_4
| ~ spl0_11 ),
inference(forward_demodulation,[],[f420,f74]) ).
fof(f74,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f72,plain,
( spl0_4
<=> sk_c7 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f420,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c10)
| ~ spl0_11 ),
inference(superposition,[],[f201,f109]) ).
fof(f109,plain,
( sk_c10 = multiply(sk_c4,sk_c7)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl0_11
<=> sk_c10 = multiply(sk_c4,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f848,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f843,f817]) ).
fof(f817,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c10,X0))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14 ),
inference(backward_demodulation,[],[f574,f807]) ).
fof(f574,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c10,X0))
| ~ spl0_4
| ~ spl0_11 ),
inference(forward_demodulation,[],[f572,f74]) ).
fof(f572,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c4),multiply(sk_c10,X0))
| ~ spl0_11 ),
inference(superposition,[],[f201,f421]) ).
fof(f421,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c4,multiply(sk_c7,X0))
| ~ spl0_11 ),
inference(superposition,[],[f3,f109]) ).
fof(f843,plain,
( sk_c9 = multiply(sk_c10,multiply(sk_c10,sk_c10))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f838,f841]) ).
fof(f841,plain,
( sk_c10 = sk_c6
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f840,f799]) ).
fof(f840,plain,
( sk_c10 = multiply(sk_c6,sk_c9)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f839,f819]) ).
fof(f819,plain,
( sk_c9 = multiply(sk_c10,sk_c5)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f805,f807]) ).
fof(f805,plain,
( sk_c9 = multiply(sk_c7,sk_c5)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_12
| ~ spl0_14 ),
inference(backward_demodulation,[],[f643,f797]) ).
fof(f643,plain,
( sk_c8 = multiply(sk_c7,sk_c5)
| ~ spl0_1
| ~ spl0_12
| ~ spl0_14 ),
inference(superposition,[],[f588,f115]) ).
fof(f115,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl0_12
<=> sk_c7 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f588,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c8
| ~ spl0_1
| ~ spl0_14 ),
inference(backward_demodulation,[],[f2,f586]) ).
fof(f839,plain,
( sk_c10 = multiply(sk_c6,multiply(sk_c10,sk_c5))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f835,f834]) ).
fof(f834,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c10,X0))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f3,f812]) ).
fof(f812,plain,
( sk_c5 = multiply(sk_c6,sk_c10)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f120,f807]) ).
fof(f120,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl0_13
<=> sk_c5 = multiply(sk_c6,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f835,plain,
( sk_c10 = multiply(sk_c5,sk_c5)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f833,f143]) ).
fof(f143,plain,
( inverse(sk_c6) = sk_c5
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl0_15
<=> inverse(sk_c6) = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f833,plain,
( sk_c10 = multiply(inverse(sk_c6),sk_c5)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f201,f812]) ).
fof(f838,plain,
( sk_c9 = multiply(sk_c6,multiply(sk_c10,sk_c6))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f806,f834]) ).
fof(f806,plain,
( sk_c9 = multiply(sk_c5,sk_c6)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f652,f797]) ).
fof(f652,plain,
( sk_c8 = multiply(sk_c5,sk_c6)
| ~ spl0_1
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f588,f143]) ).
fof(f802,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_14 ),
inference(backward_demodulation,[],[f591,f797]) ).
fof(f666,plain,
( inverse(sk_c10) = sk_c2
| ~ spl0_1
| ~ spl0_3
| ~ spl0_14 ),
inference(forward_demodulation,[],[f663,f587]) ).
fof(f663,plain,
( sk_c2 = multiply(inverse(sk_c10),sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_14 ),
inference(superposition,[],[f201,f631]) ).
fof(f631,plain,
( sk_c8 = multiply(sk_c10,sk_c2)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_14 ),
inference(superposition,[],[f588,f69]) ).
fof(f69,plain,
( sk_c10 = inverse(sk_c2)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl0_3
<=> sk_c10 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f950,plain,
( ! [X3] :
( sk_c10 != inverse(X3)
| sk_c10 != X3 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f949,f857]) ).
fof(f857,plain,
( ! [X4] : multiply(X4,sk_c10) = X4
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f799,f849]) ).
fof(f949,plain,
( ! [X3] :
( sk_c10 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f164,f849]) ).
fof(f164,plain,
( ! [X3] :
( sk_c10 != multiply(X3,sk_c9)
| sk_c10 != inverse(X3) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f163,plain,
( spl0_19
<=> ! [X3] :
( sk_c10 != multiply(X3,sk_c9)
| sk_c10 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f948,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f947]) ).
fof(f947,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f946]) ).
fof(f946,plain,
( sk_c10 != sk_c10
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(duplicate_literal_removal,[],[f945]) ).
fof(f945,plain,
( sk_c10 != sk_c10
| sk_c10 != sk_c10
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f944,f869]) ).
fof(f944,plain,
( ! [X5] :
( sk_c10 != inverse(X5)
| sk_c10 != X5 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f943,f849]) ).
fof(f943,plain,
( ! [X5] :
( sk_c9 != inverse(X5)
| sk_c10 != X5 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f942,f855]) ).
fof(f855,plain,
( sk_c10 = sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f797,f849]) ).
fof(f942,plain,
( ! [X5] :
( sk_c8 != X5
| sk_c9 != inverse(X5) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f941,f857]) ).
fof(f941,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c10)
| sk_c9 != inverse(X5) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f155,f849]) ).
fof(f155,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c9)
| sk_c9 != inverse(X5) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f154,plain,
( spl0_16
<=> ! [X5] :
( sk_c8 != multiply(X5,sk_c9)
| sk_c9 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f940,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f939]) ).
fof(f939,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f938]) ).
fof(f938,plain,
( sk_c10 != sk_c10
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f937,f869]) ).
fof(f937,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f936,f869]) ).
fof(f936,plain,
( sk_c10 != inverse(inverse(sk_c10))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f935]) ).
fof(f935,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(inverse(sk_c10))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f934,f872]) ).
fof(f872,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f870,f817]) ).
fof(f870,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c10,X0)) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f794,f866]) ).
fof(f794,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c10,X0)) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_14 ),
inference(backward_demodulation,[],[f659,f791]) ).
fof(f934,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| sk_c10 != inverse(inverse(sk_c10))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f933]) ).
fof(f933,plain,
( sk_c10 != inverse(inverse(sk_c10))
| sk_c10 != multiply(sk_c10,sk_c10)
| sk_c10 != sk_c10
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(superposition,[],[f926,f869]) ).
fof(f926,plain,
( ! [X3] :
( sk_c10 != inverse(inverse(inverse(X3)))
| sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,inverse(X3)) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f925]) ).
fof(f925,plain,
( ! [X3] :
( sk_c10 != multiply(X3,inverse(X3))
| sk_c10 != inverse(inverse(inverse(X3)))
| sk_c10 != inverse(X3)
| sk_c10 != inverse(X3) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f922,f869]) ).
fof(f922,plain,
( ! [X3] :
( sk_c10 != inverse(inverse(inverse(X3)))
| sk_c10 != multiply(X3,inverse(X3))
| sk_c10 != inverse(X3)
| inverse(sk_c10) != inverse(X3) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(superposition,[],[f919,f858]) ).
fof(f858,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c10
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f800,f849]) ).
fof(f800,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c9
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_14 ),
inference(backward_demodulation,[],[f588,f797]) ).
fof(f919,plain,
( ! [X8,X6] :
( inverse(X6) != inverse(multiply(X8,inverse(X6)))
| sk_c10 != multiply(X6,inverse(X6))
| sk_c10 != inverse(X6)
| inverse(X8) != multiply(X8,inverse(X6)) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f918,f857]) ).
fof(f918,plain,
( ! [X8,X6] :
( sk_c10 != multiply(X6,inverse(X6))
| inverse(X6) != inverse(multiply(X8,inverse(X6)))
| inverse(X8) != multiply(X8,inverse(X6))
| sk_c10 != multiply(inverse(X6),sk_c10) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f161,f849]) ).
fof(f161,plain,
( ! [X8,X6] :
( inverse(X8) != multiply(X8,inverse(X6))
| sk_c10 != multiply(inverse(X6),sk_c9)
| inverse(X6) != inverse(multiply(X8,inverse(X6)))
| sk_c10 != multiply(X6,inverse(X6)) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f160,plain,
( spl0_18
<=> ! [X6,X8] :
( sk_c10 != multiply(inverse(X6),sk_c9)
| inverse(X8) != multiply(X8,inverse(X6))
| inverse(X6) != inverse(multiply(X8,inverse(X6)))
| sk_c10 != multiply(X6,inverse(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f916,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f915]) ).
fof(f915,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f914]) ).
fof(f914,plain,
( sk_c10 != sk_c10
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f911]) ).
fof(f911,plain,
( sk_c10 != sk_c10
| sk_c10 != sk_c10
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f884,f869]) ).
fof(f884,plain,
( ! [X4] :
( sk_c10 != inverse(X4)
| sk_c10 != X4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f851,f857]) ).
fof(f851,plain,
( ! [X4] :
( sk_c10 != inverse(X4)
| sk_c10 != multiply(X4,sk_c10) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(backward_demodulation,[],[f158,f849]) ).
fof(f158,plain,
( ! [X4] :
( sk_c10 != inverse(X4)
| sk_c9 != multiply(X4,sk_c10) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f157,plain,
( spl0_17
<=> ! [X4] :
( sk_c9 != multiply(X4,sk_c10)
| sk_c10 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f900,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f899]) ).
fof(f899,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f898]) ).
fof(f898,plain,
( sk_c10 != sk_c10
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f624,f849]) ).
fof(f624,plain,
( sk_c10 != sk_c9
| ~ spl0_1
| spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f102,f587]) ).
fof(f102,plain,
( sk_c9 != multiply(sk_c10,sk_c8)
| spl0_10 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl0_10
<=> sk_c9 = multiply(sk_c10,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f887,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f886]) ).
fof(f886,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f885]) ).
fof(f885,plain,
( sk_c10 != sk_c10
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f853,f866]) ).
fof(f853,plain,
( sk_c10 != sk_c2
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f786,f849]) ).
fof(f786,plain,
( sk_c9 != sk_c2
| ~ spl0_1
| ~ spl0_3
| spl0_6
| ~ spl0_14 ),
inference(backward_demodulation,[],[f82,f666]) ).
fof(f82,plain,
( inverse(sk_c10) != sk_c9
| spl0_6 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f81,plain,
( spl0_6
<=> inverse(sk_c10) = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f608,plain,
( ~ spl0_1
| spl0_7
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f607]) ).
fof(f607,plain,
( $false
| ~ spl0_1
| spl0_7
| ~ spl0_10
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f603]) ).
fof(f603,plain,
( sk_c10 != sk_c10
| ~ spl0_1
| spl0_7
| ~ spl0_10
| ~ spl0_14 ),
inference(backward_demodulation,[],[f560,f592]) ).
fof(f592,plain,
( sk_c10 = sk_c9
| ~ spl0_1
| ~ spl0_10
| ~ spl0_14 ),
inference(backward_demodulation,[],[f103,f587]) ).
fof(f103,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f560,plain,
( sk_c10 != sk_c9
| ~ spl0_1
| spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f87,f379]) ).
fof(f87,plain,
( sk_c10 != multiply(sk_c9,sk_c8)
| spl0_7 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl0_7
<=> sk_c10 = multiply(sk_c9,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f453,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f452]) ).
fof(f452,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f451]) ).
fof(f451,plain,
( sk_c10 != sk_c10
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f449,f435]) ).
fof(f435,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(backward_demodulation,[],[f403,f432]) ).
fof(f432,plain,
( sk_c10 = sk_c8
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f430,f408]) ).
fof(f408,plain,
( sk_c8 = multiply(sk_c10,sk_c10)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14 ),
inference(backward_demodulation,[],[f399,f402]) ).
fof(f402,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f393,f399]) ).
fof(f393,plain,
( sk_c8 = multiply(sk_c10,sk_c10)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14 ),
inference(backward_demodulation,[],[f317,f380]) ).
fof(f380,plain,
( sk_c10 = sk_c9
| ~ spl0_1
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f379,f88]) ).
fof(f88,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f317,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f208,f83]) ).
fof(f83,plain,
( inverse(sk_c10) = sk_c9
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f208,plain,
( sk_c8 = multiply(inverse(sk_c10),sk_c9)
| ~ spl0_10 ),
inference(superposition,[],[f201,f103]) ).
fof(f399,plain,
( identity = multiply(sk_c10,sk_c10)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14 ),
inference(backward_demodulation,[],[f350,f380]) ).
fof(f350,plain,
( identity = multiply(sk_c10,sk_c9)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f349,f199]) ).
fof(f199,plain,
( identity = multiply(sk_c9,sk_c10)
| ~ spl0_6 ),
inference(superposition,[],[f2,f83]) ).
fof(f349,plain,
( multiply(sk_c9,sk_c10) = multiply(sk_c10,sk_c9)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f341,f88]) ).
fof(f341,plain,
( multiply(sk_c9,multiply(sk_c9,sk_c8)) = multiply(sk_c10,sk_c9)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f330,f317]) ).
fof(f330,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c9,multiply(sk_c9,multiply(sk_c9,X0)))
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(backward_demodulation,[],[f183,f328]) ).
fof(f328,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c9,multiply(sk_c9,X0))
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f326,f83]) ).
fof(f326,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c10),multiply(sk_c9,X0))
| ~ spl0_10 ),
inference(superposition,[],[f201,f188]) ).
fof(f188,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c8,X0)) = multiply(sk_c9,X0)
| ~ spl0_10 ),
inference(superposition,[],[f3,f103]) ).
fof(f183,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c9,multiply(sk_c8,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f88]) ).
fof(f430,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14 ),
inference(backward_demodulation,[],[f385,f423]) ).
fof(f423,plain,
( sk_c10 = sk_c7
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f422,f385]) ).
fof(f385,plain,
( sk_c10 = multiply(sk_c7,sk_c10)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14 ),
inference(backward_demodulation,[],[f92,f380]) ).
fof(f403,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14 ),
inference(backward_demodulation,[],[f1,f402]) ).
fof(f449,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(backward_demodulation,[],[f386,f448]) ).
fof(f448,plain,
( sk_c10 = sk_c1
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(backward_demodulation,[],[f437,f435]) ).
fof(f437,plain,
( sk_c10 = multiply(sk_c10,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(backward_demodulation,[],[f405,f432]) ).
fof(f405,plain,
( sk_c8 = multiply(sk_c10,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14 ),
inference(backward_demodulation,[],[f198,f402]) ).
fof(f198,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl0_2 ),
inference(superposition,[],[f2,f64]) ).
fof(f64,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f62,plain,
( spl0_2
<=> sk_c10 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f386,plain,
( sk_c10 != multiply(sk_c1,sk_c10)
| ~ spl0_1
| ~ spl0_7
| spl0_9
| ~ spl0_14 ),
inference(backward_demodulation,[],[f97,f380]) ).
fof(f97,plain,
( sk_c10 != multiply(sk_c1,sk_c9)
| spl0_9 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl0_9
<=> sk_c10 = multiply(sk_c1,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f316,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f315]) ).
fof(f315,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f314]) ).
fof(f314,plain,
( sk_c10 != sk_c10
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_19 ),
inference(duplicate_literal_removal,[],[f313]) ).
fof(f313,plain,
( sk_c10 != sk_c10
| sk_c10 != sk_c10
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_19 ),
inference(superposition,[],[f312,f239]) ).
fof(f239,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[],[f83,f236]) ).
fof(f236,plain,
( sk_c10 = sk_c9
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[],[f224,f228]) ).
fof(f228,plain,
( ! [X1] : multiply(sk_c10,X1) = X1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f227,f225]) ).
fof(f225,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c10,multiply(sk_c10,X0)))
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f221,f219]) ).
fof(f219,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c8,X0)) = multiply(sk_c10,multiply(sk_c10,X0))
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[],[f188,f217]) ).
fof(f217,plain,
( ! [X8] : multiply(sk_c9,X8) = multiply(sk_c10,multiply(sk_c10,X8))
| ~ spl0_2
| ~ spl0_9 ),
inference(forward_demodulation,[],[f212,f64]) ).
fof(f212,plain,
( ! [X8] : multiply(sk_c9,X8) = multiply(inverse(sk_c1),multiply(sk_c10,X8))
| ~ spl0_9 ),
inference(superposition,[],[f201,f187]) ).
fof(f187,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c1,multiply(sk_c9,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f98]) ).
fof(f98,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f221,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c10,multiply(sk_c8,X0)))
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f183,f217]) ).
fof(f227,plain,
( ! [X1] : multiply(sk_c10,multiply(sk_c10,multiply(sk_c10,X1))) = X1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f203,f217]) ).
fof(f203,plain,
( ! [X1] : multiply(sk_c9,multiply(sk_c10,X1)) = X1
| ~ spl0_6 ),
inference(superposition,[],[f201,f83]) ).
fof(f224,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f223,f103]) ).
fof(f223,plain,
( sk_c10 = multiply(sk_c10,multiply(sk_c10,sk_c8))
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f88,f217]) ).
fof(f312,plain,
( ! [X3] :
( sk_c10 != inverse(X3)
| sk_c10 != X3 )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_demodulation,[],[f311,f255]) ).
fof(f255,plain,
( ! [X4] : multiply(X4,sk_c10) = X4
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[],[f246,f252]) ).
fof(f252,plain,
( sk_c10 = sk_c8
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f237,f236]) ).
fof(f237,plain,
( sk_c9 = sk_c8
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[],[f103,f228]) ).
fof(f246,plain,
( ! [X4] : multiply(X4,sk_c8) = X4
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[],[f216,f245]) ).
fof(f245,plain,
( identity = sk_c8
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f243,f2]) ).
fof(f243,plain,
( sk_c8 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[],[f209,f236]) ).
fof(f209,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c10)
| ~ spl0_7 ),
inference(superposition,[],[f201,f88]) ).
fof(f311,plain,
( ! [X3] :
( sk_c10 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_demodulation,[],[f164,f236]) ).
fof(f310,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f309]) ).
fof(f309,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f308]) ).
fof(f308,plain,
( sk_c10 != sk_c10
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f307]) ).
fof(f307,plain,
( sk_c10 != sk_c10
| sk_c10 != sk_c10
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18 ),
inference(superposition,[],[f306,f239]) ).
fof(f306,plain,
( ! [X0] :
( inverse(X0) != sk_c10
| inverse(X0) != X0 )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[],[f305,f255]) ).
fof(f305,plain,
( ! [X0] :
( inverse(X0) != sk_c10
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f304]) ).
fof(f304,plain,
( ! [X0] :
( inverse(X0) != sk_c10
| inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != sk_c10 )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[],[f303,f228]) ).
fof(f303,plain,
( ! [X0] :
( inverse(X0) != sk_c10
| sk_c10 != multiply(sk_c10,sk_c10)
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[],[f300,f255]) ).
fof(f300,plain,
( ! [X0] :
( sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != multiply(sk_c10,sk_c10) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f297]) ).
fof(f297,plain,
( ! [X0] :
( sk_c10 != inverse(multiply(X0,sk_c10))
| sk_c10 != multiply(sk_c10,sk_c10)
| inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != sk_c10 )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18 ),
inference(superposition,[],[f296,f239]) ).
fof(f296,plain,
( ! [X8,X6] :
( inverse(X6) != inverse(multiply(X8,inverse(X6)))
| sk_c10 != inverse(X6)
| sk_c10 != multiply(X6,inverse(X6))
| inverse(X8) != multiply(X8,inverse(X6)) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[],[f295,f255]) ).
fof(f295,plain,
( ! [X8,X6] :
( inverse(X6) != inverse(multiply(X8,inverse(X6)))
| inverse(X8) != multiply(X8,inverse(X6))
| sk_c10 != multiply(X6,inverse(X6))
| sk_c10 != multiply(inverse(X6),sk_c10) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[],[f161,f236]) ).
fof(f294,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f293]) ).
fof(f293,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f292]) ).
fof(f292,plain,
( sk_c10 != sk_c10
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f291]) ).
fof(f291,plain,
( sk_c10 != sk_c10
| sk_c10 != sk_c10
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f290,f239]) ).
fof(f290,plain,
( ! [X4] :
( sk_c10 != inverse(X4)
| sk_c10 != X4 )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f289,f236]) ).
fof(f289,plain,
( ! [X4] :
( sk_c9 != X4
| sk_c10 != inverse(X4) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f158,f255]) ).
fof(f288,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f287]) ).
fof(f287,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f286]) ).
fof(f286,plain,
( sk_c10 != sk_c10
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_16 ),
inference(duplicate_literal_removal,[],[f285]) ).
fof(f285,plain,
( sk_c10 != sk_c10
| sk_c10 != sk_c10
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_16 ),
inference(superposition,[],[f260,f239]) ).
fof(f260,plain,
( ! [X5] :
( sk_c10 != inverse(X5)
| sk_c10 != X5 )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[],[f257,f255]) ).
fof(f257,plain,
( ! [X5] :
( sk_c10 != inverse(X5)
| sk_c10 != multiply(X5,sk_c10) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_16 ),
inference(backward_demodulation,[],[f244,f252]) ).
fof(f244,plain,
( ! [X5] :
( sk_c10 != inverse(X5)
| sk_c8 != multiply(X5,sk_c10) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[],[f241,f236]) ).
fof(f241,plain,
( ! [X5] :
( sk_c9 != inverse(X5)
| sk_c8 != multiply(X5,sk_c10) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_16 ),
inference(backward_demodulation,[],[f155,f236]) ).
fof(f179,plain,
( spl0_15
| spl0_6 ),
inference(avatar_split_clause,[],[f11,f81,f141]) ).
fof(f11,axiom,
( inverse(sk_c10) = sk_c9
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f178,plain,
( spl0_7
| spl0_15 ),
inference(avatar_split_clause,[],[f21,f141,f86]) ).
fof(f21,axiom,
( inverse(sk_c6) = sk_c5
| sk_c10 = multiply(sk_c9,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f177,plain,
( spl0_5
| spl0_2 ),
inference(avatar_split_clause,[],[f34,f62,f77]) ).
fof(f34,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f176,plain,
( spl0_13
| spl0_2 ),
inference(avatar_split_clause,[],[f43,f62,f118]) ).
fof(f43,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f173,plain,
( spl0_14
| spl0_2 ),
inference(avatar_split_clause,[],[f37,f62,f126]) ).
fof(f37,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f172,plain,
( spl0_15
| spl0_2 ),
inference(avatar_split_clause,[],[f41,f62,f141]) ).
fof(f41,axiom,
( sk_c10 = inverse(sk_c1)
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f171,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f33,f118,f101]) ).
fof(f33,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f168,plain,
( spl0_12
| spl0_10 ),
inference(avatar_split_clause,[],[f32,f101,f113]) ).
fof(f32,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f167,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f10,f81,f90]) ).
fof(f10,axiom,
( inverse(sk_c10) = sk_c9
| sk_c10 = multiply(sk_c7,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f166,plain,
( spl0_1
| spl0_9 ),
inference(avatar_split_clause,[],[f46,f96,f58]) ).
fof(f46,axiom,
( sk_c10 = multiply(sk_c1,sk_c9)
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f165,plain,
( ~ spl0_10
| ~ spl0_6
| ~ spl0_7
| spl0_16
| spl0_17
| spl0_18
| spl0_19 ),
inference(avatar_split_clause,[],[f56,f163,f160,f157,f154,f86,f81,f101]) ).
fof(f56,plain,
! [X3,X8,X6,X4,X5] :
( sk_c10 != multiply(X3,sk_c9)
| sk_c10 != multiply(inverse(X6),sk_c9)
| sk_c9 != multiply(X4,sk_c10)
| sk_c8 != multiply(X5,sk_c9)
| sk_c10 != inverse(X4)
| sk_c10 != multiply(sk_c9,sk_c8)
| inverse(sk_c10) != sk_c9
| sk_c10 != multiply(X6,inverse(X6))
| inverse(X6) != inverse(multiply(X8,inverse(X6)))
| sk_c9 != multiply(sk_c10,sk_c8)
| inverse(X8) != multiply(X8,inverse(X6))
| sk_c10 != inverse(X3)
| sk_c9 != inverse(X5) ),
inference(equality_resolution,[],[f55]) ).
fof(f55,plain,
! [X3,X8,X6,X9,X4,X5] :
( sk_c10 != inverse(X3)
| sk_c8 != multiply(X5,sk_c9)
| sk_c10 != multiply(X6,inverse(X6))
| sk_c10 != multiply(X3,sk_c9)
| multiply(X8,inverse(X6)) != X9
| sk_c10 != multiply(inverse(X6),sk_c9)
| sk_c9 != multiply(X4,sk_c10)
| inverse(X8) != X9
| sk_c10 != inverse(X4)
| sk_c10 != multiply(sk_c9,sk_c8)
| sk_c9 != inverse(X5)
| sk_c9 != multiply(sk_c10,sk_c8)
| inverse(sk_c10) != sk_c9
| inverse(X6) != inverse(X9) ),
inference(equality_resolution,[],[f54]) ).
fof(f54,axiom,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c10 != inverse(X3)
| sk_c8 != multiply(X5,sk_c9)
| sk_c10 != multiply(X6,X7)
| inverse(X6) != X7
| sk_c10 != multiply(X3,sk_c9)
| multiply(X8,X7) != X9
| sk_c10 != multiply(X7,sk_c9)
| sk_c9 != multiply(X4,sk_c10)
| inverse(X8) != X9
| sk_c10 != inverse(X4)
| sk_c10 != multiply(sk_c9,sk_c8)
| sk_c9 != inverse(X5)
| sk_c9 != multiply(sk_c10,sk_c8)
| inverse(sk_c10) != sk_c9
| inverse(X9) != X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
fof(f152,plain,
( spl0_13
| spl0_9 ),
inference(avatar_split_clause,[],[f53,f96,f118]) ).
fof(f53,axiom,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_50) ).
fof(f151,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f50,f90,f96]) ).
fof(f50,axiom,
( sk_c10 = multiply(sk_c7,sk_c9)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
fof(f150,plain,
( spl0_6
| spl0_1 ),
inference(avatar_split_clause,[],[f6,f58,f81]) ).
fof(f6,axiom,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f149,plain,
( spl0_6
| spl0_14 ),
inference(avatar_split_clause,[],[f7,f126,f81]) ).
fof(f7,axiom,
( sk_c9 = inverse(sk_c3)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f148,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f27,f126,f101]) ).
fof(f27,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f145,plain,
( spl0_15
| spl0_9 ),
inference(avatar_split_clause,[],[f51,f96,f141]) ).
fof(f51,axiom,
( sk_c10 = multiply(sk_c1,sk_c9)
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).
fof(f144,plain,
( spl0_15
| spl0_10 ),
inference(avatar_split_clause,[],[f31,f101,f141]) ).
fof(f31,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f139,plain,
( spl0_4
| spl0_10 ),
inference(avatar_split_clause,[],[f29,f101,f72]) ).
fof(f29,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f138,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f24,f77,f101]) ).
fof(f24,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f137,plain,
( spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f16,f86,f58]) ).
fof(f16,axiom,
( sk_c10 = multiply(sk_c9,sk_c8)
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f136,plain,
( spl0_11
| spl0_9 ),
inference(avatar_split_clause,[],[f48,f96,f107]) ).
fof(f48,axiom,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c10 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f135,plain,
( spl0_11
| spl0_2 ),
inference(avatar_split_clause,[],[f38,f62,f107]) ).
fof(f38,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c10 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f134,plain,
( spl0_6
| spl0_12 ),
inference(avatar_split_clause,[],[f12,f113,f81]) ).
fof(f12,axiom,
( sk_c7 = inverse(sk_c5)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f133,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f81,f107]) ).
fof(f8,axiom,
( inverse(sk_c10) = sk_c9
| sk_c10 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f132,plain,
( spl0_14
| spl0_9 ),
inference(avatar_split_clause,[],[f47,f96,f126]) ).
fof(f47,axiom,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
fof(f131,plain,
( spl0_6
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f67,f81]) ).
fof(f5,axiom,
( sk_c10 = inverse(sk_c2)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f129,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f17,f126,f86]) ).
fof(f17,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c10 = multiply(sk_c9,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f124,plain,
( spl0_1
| spl0_10 ),
inference(avatar_split_clause,[],[f26,f101,f58]) ).
fof(f26,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f123,plain,
( spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f9,f81,f72]) ).
fof(f9,axiom,
( inverse(sk_c10) = sk_c9
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f121,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f13,f81,f118]) ).
fof(f13,axiom,
( inverse(sk_c10) = sk_c9
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f116,plain,
( spl0_2
| spl0_12 ),
inference(avatar_split_clause,[],[f42,f113,f62]) ).
fof(f42,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f111,plain,
( spl0_2
| spl0_8 ),
inference(avatar_split_clause,[],[f40,f90,f62]) ).
fof(f40,axiom,
( sk_c10 = multiply(sk_c7,sk_c9)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f110,plain,
( spl0_11
| spl0_10 ),
inference(avatar_split_clause,[],[f28,f101,f107]) ).
fof(f28,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c10 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f105,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f25,f67,f101]) ).
fof(f25,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f104,plain,
( spl0_8
| spl0_10 ),
inference(avatar_split_clause,[],[f30,f101,f90]) ).
fof(f30,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c10 = multiply(sk_c7,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f99,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f49,f72,f96]) ).
fof(f49,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f84,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f4,f81,f77]) ).
fof(f4,axiom,
( inverse(sk_c10) = sk_c9
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f75,plain,
( spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f39,f62,f72]) ).
fof(f39,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f70,plain,
( spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f35,f67,f62]) ).
fof(f35,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f65,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f36,f62,f58]) ).
fof(f36,axiom,
( sk_c10 = inverse(sk_c1)
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP386-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:36:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (17378)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.50 % (17377)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (17382)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (17375)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.51 % (17384)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)
% 1.32/0.52 % (17388)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)
% 1.32/0.52 % (17395)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)
% 1.32/0.52 % (17386)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.32/0.52 % (17387)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)
% 1.32/0.52 % (17400)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)
% 1.32/0.52 % (17399)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)
% 1.32/0.52 % (17376)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)
% 1.32/0.52 % (17402)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)
% 1.32/0.52 % (17374)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)
% 1.32/0.53 % (17379)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)
% 1.32/0.53 % (17391)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.32/0.53 % (17373)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)
% 1.32/0.53 % (17396)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)
% 1.32/0.53 % (17397)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.44/0.53 % (17390)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.44/0.53 % (17393)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)
% 1.44/0.53 % (17389)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)
% 1.44/0.53 TRYING [1]
% 1.44/0.53 % (17392)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.44/0.54 % (17381)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.44/0.54 % (17394)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.44/0.54 % (17380)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.44/0.54 % (17381)Instruction limit reached!
% 1.44/0.54 % (17381)------------------------------
% 1.44/0.54 % (17381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.54 % (17381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.54 % (17381)Termination reason: Unknown
% 1.44/0.54 % (17381)Termination phase: Saturation
% 1.44/0.54
% 1.44/0.54 % (17381)Memory used [KB]: 895
% 1.44/0.54 % (17381)Time elapsed: 0.003 s
% 1.44/0.54 % (17381)Instructions burned: 2 (million)
% 1.44/0.54 % (17381)------------------------------
% 1.44/0.54 % (17381)------------------------------
% 1.44/0.54 % (17385)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.44/0.54 TRYING [2]
% 1.44/0.54 TRYING [3]
% 1.44/0.54 % (17380)Instruction limit reached!
% 1.44/0.54 % (17380)------------------------------
% 1.44/0.54 % (17380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.54 % (17380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.54 % (17380)Termination reason: Unknown
% 1.44/0.54 % (17380)Termination phase: Saturation
% 1.44/0.54
% 1.44/0.54 % (17380)Memory used [KB]: 5500
% 1.44/0.54 % (17380)Time elapsed: 0.151 s
% 1.44/0.54 % (17380)Instructions burned: 7 (million)
% 1.44/0.54 % (17380)------------------------------
% 1.44/0.54 % (17380)------------------------------
% 1.44/0.54 % (17383)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.44/0.54 % (17398)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.44/0.54 % (17401)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.44/0.55 % (17375)Instruction limit reached!
% 1.44/0.55 % (17375)------------------------------
% 1.44/0.55 % (17375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.55 % (17375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.55 % (17375)Termination reason: Unknown
% 1.44/0.55 % (17375)Termination phase: Saturation
% 1.44/0.55
% 1.44/0.55 % (17375)Memory used [KB]: 1279
% 1.44/0.55 % (17375)Time elapsed: 0.162 s
% 1.44/0.55 % (17375)Instructions burned: 38 (million)
% 1.44/0.55 % (17375)------------------------------
% 1.44/0.55 % (17375)------------------------------
% 1.44/0.55 TRYING [1]
% 1.44/0.55 TRYING [2]
% 1.44/0.56 TRYING [3]
% 1.44/0.56 TRYING [4]
% 1.44/0.56 TRYING [1]
% 1.44/0.56 TRYING [2]
% 1.44/0.56 TRYING [3]
% 1.44/0.58 % (17402)First to succeed.
% 1.44/0.59 % (17402)Refutation found. Thanks to Tanya!
% 1.44/0.59 % SZS status Unsatisfiable for theBenchmark
% 1.44/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.44/0.59 % (17402)------------------------------
% 1.44/0.59 % (17402)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.59 % (17402)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.59 % (17402)Termination reason: Refutation
% 1.44/0.59
% 1.44/0.59 % (17402)Memory used [KB]: 5884
% 1.44/0.59 % (17402)Time elapsed: 0.181 s
% 1.44/0.59 % (17402)Instructions burned: 31 (million)
% 1.44/0.59 % (17402)------------------------------
% 1.44/0.59 % (17402)------------------------------
% 1.44/0.59 % (17372)Success in time 0.239 s
%------------------------------------------------------------------------------