TSTP Solution File: GRP279-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP279-1 : 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 : n001.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 16:21:08 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 49
% Syntax : Number of formulae : 262 ( 6 unt; 0 def)
% Number of atoms : 1155 ( 312 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 1804 ( 911 ~; 869 |; 0 &)
% ( 24 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 25 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 64 ( 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f843,plain,
$false,
inference(avatar_sat_refutation,[],[f50,f67,f76,f81,f95,f107,f109,f115,f116,f117,f118,f120,f124,f125,f128,f129,f130,f131,f133,f134,f139,f140,f141,f142,f143,f201,f258,f270,f363,f405,f475,f652,f699,f700,f731,f732,f738,f742,f749,f812,f824,f836,f842]) ).
fof(f842,plain,
( spl3_2
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_22
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f841]) ).
fof(f841,plain,
( $false
| spl3_2
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_22
| ~ spl3_27 ),
inference(trivial_inequality_removal,[],[f840]) ).
fof(f840,plain,
( identity != identity
| spl3_2
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_22
| ~ spl3_27 ),
inference(superposition,[],[f839,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f839,plain,
( identity != multiply(identity,identity)
| spl3_2
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_22
| ~ spl3_27 ),
inference(forward_demodulation,[],[f838,f518]) ).
fof(f518,plain,
( identity = sk_c8
| ~ spl3_22 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f517,plain,
( spl3_22
<=> identity = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).
fof(f838,plain,
( identity != multiply(sk_c8,identity)
| spl3_2
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_22
| ~ spl3_27 ),
inference(forward_demodulation,[],[f837,f761]) ).
fof(f761,plain,
( identity = sk_c7
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_22 ),
inference(backward_demodulation,[],[f706,f518]) ).
fof(f706,plain,
( sk_c8 = sk_c7
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9 ),
inference(forward_demodulation,[],[f704,f659]) ).
fof(f659,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c6)
| ~ spl3_4 ),
inference(superposition,[],[f155,f58]) ).
fof(f58,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f56,plain,
( spl3_4
<=> sk_c6 = multiply(sk_c7,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f155,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f148,f1]) ).
fof(f148,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
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(f704,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl3_8
| ~ spl3_9 ),
inference(superposition,[],[f155,f663]) ).
fof(f663,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl3_8
| ~ spl3_9 ),
inference(forward_demodulation,[],[f661,f80]) ).
fof(f80,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl3_9
<=> sk_c7 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f661,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c7)
| ~ spl3_8 ),
inference(superposition,[],[f155,f75]) ).
fof(f75,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f73,plain,
( spl3_8
<=> sk_c7 = multiply(sk_c5,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f837,plain,
( identity != multiply(sk_c8,sk_c7)
| spl3_2
| ~ spl3_22
| ~ spl3_27 ),
inference(forward_demodulation,[],[f48,f759]) ).
fof(f759,plain,
( identity = sk_c6
| ~ spl3_22
| ~ spl3_27 ),
inference(backward_demodulation,[],[f691,f518]) ).
fof(f691,plain,
( sk_c8 = sk_c6
| ~ spl3_27 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f690,plain,
( spl3_27
<=> sk_c8 = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_27])]) ).
fof(f48,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| spl3_2 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f47,plain,
( spl3_2
<=> multiply(sk_c8,sk_c7) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f836,plain,
( ~ spl3_1
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_18
| ~ spl3_22
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f835]) ).
fof(f835,plain,
( $false
| ~ spl3_1
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_18
| ~ spl3_22
| ~ spl3_27 ),
inference(trivial_inequality_removal,[],[f834]) ).
fof(f834,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_18
| ~ spl3_22
| ~ spl3_27 ),
inference(superposition,[],[f833,f775]) ).
fof(f775,plain,
( identity = inverse(identity)
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f752,f771]) ).
fof(f771,plain,
( identity = sk_c4
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f758,f2]) ).
fof(f758,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl3_1
| ~ spl3_22 ),
inference(backward_demodulation,[],[f672,f518]) ).
fof(f672,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl3_1 ),
inference(superposition,[],[f155,f654]) ).
fof(f654,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl3_1 ),
inference(superposition,[],[f2,f45]) ).
fof(f45,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl3_1
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f752,plain,
( identity = inverse(sk_c4)
| ~ spl3_1
| ~ spl3_22 ),
inference(backward_demodulation,[],[f45,f518]) ).
fof(f833,plain,
( identity != inverse(identity)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_18
| ~ spl3_22
| ~ spl3_27 ),
inference(forward_demodulation,[],[f832,f775]) ).
fof(f832,plain,
( identity != inverse(inverse(identity))
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_18
| ~ spl3_22
| ~ spl3_27 ),
inference(trivial_inequality_removal,[],[f830]) ).
fof(f830,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_18
| ~ spl3_22
| ~ spl3_27 ),
inference(superposition,[],[f827,f2]) ).
fof(f827,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_18
| ~ spl3_22
| ~ spl3_27 ),
inference(forward_demodulation,[],[f826,f761]) ).
fof(f826,plain,
( ! [X7] :
( sk_c7 != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_18
| ~ spl3_22
| ~ spl3_27 ),
inference(forward_demodulation,[],[f825,f759]) ).
fof(f825,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c7 != multiply(X7,sk_c6) )
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_18
| ~ spl3_22 ),
inference(forward_demodulation,[],[f138,f761]) ).
fof(f138,plain,
( ! [X7] :
( sk_c7 != inverse(X7)
| sk_c7 != multiply(X7,sk_c6) )
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl3_18
<=> ! [X7] :
( sk_c7 != multiply(X7,sk_c6)
| sk_c7 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f824,plain,
( ~ spl3_1
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_17
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f823]) ).
fof(f823,plain,
( $false
| ~ spl3_1
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_17
| ~ spl3_22 ),
inference(trivial_inequality_removal,[],[f822]) ).
fof(f822,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_17
| ~ spl3_22 ),
inference(superposition,[],[f820,f775]) ).
fof(f820,plain,
( identity != inverse(identity)
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_17
| ~ spl3_22 ),
inference(trivial_inequality_removal,[],[f816]) ).
fof(f816,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_17
| ~ spl3_22 ),
inference(superposition,[],[f815,f1]) ).
fof(f815,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_17
| ~ spl3_22 ),
inference(forward_demodulation,[],[f814,f518]) ).
fof(f814,plain,
( ! [X6] :
( sk_c8 != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_17
| ~ spl3_22 ),
inference(forward_demodulation,[],[f813,f761]) ).
fof(f813,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl3_17
| ~ spl3_22 ),
inference(forward_demodulation,[],[f123,f518]) ).
fof(f123,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f122,plain,
( spl3_17
<=> ! [X6] :
( sk_c8 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f812,plain,
( ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f811]) ).
fof(f811,plain,
( $false
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_22 ),
inference(trivial_inequality_removal,[],[f810]) ).
fof(f810,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_22 ),
inference(superposition,[],[f809,f775]) ).
fof(f809,plain,
( identity != inverse(identity)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f808,f775]) ).
fof(f808,plain,
( identity != inverse(inverse(identity))
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_22 ),
inference(trivial_inequality_removal,[],[f806]) ).
fof(f806,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_22 ),
inference(superposition,[],[f770,f2]) ).
fof(f770,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f769,f518]) ).
fof(f769,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c8)
| identity != inverse(X3) )
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_22 ),
inference(backward_demodulation,[],[f751,f518]) ).
fof(f751,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c8) )
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9 ),
inference(forward_demodulation,[],[f66,f706]) ).
fof(f66,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl3_6
<=> ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f749,plain,
( spl3_22
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_27 ),
inference(avatar_split_clause,[],[f748,f690,f78,f73,f56,f517]) ).
fof(f748,plain,
( identity = sk_c8
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_27 ),
inference(forward_demodulation,[],[f744,f2]) ).
fof(f744,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_27 ),
inference(backward_demodulation,[],[f718,f691]) ).
fof(f718,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c6)
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9 ),
inference(backward_demodulation,[],[f659,f706]) ).
fof(f742,plain,
( spl3_27
| ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_11 ),
inference(avatar_split_clause,[],[f741,f87,f78,f73,f56,f47,f43,f690]) ).
fof(f87,plain,
( spl3_11
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f741,plain,
( sk_c8 = sk_c6
| ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_11 ),
inference(forward_demodulation,[],[f707,f725]) ).
fof(f725,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_11 ),
inference(backward_demodulation,[],[f668,f706]) ).
fof(f668,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl3_1
| ~ spl3_11 ),
inference(forward_demodulation,[],[f666,f45]) ).
fof(f666,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c8)
| ~ spl3_11 ),
inference(superposition,[],[f155,f89]) ).
fof(f89,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f707,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9 ),
inference(backward_demodulation,[],[f49,f706]) ).
fof(f49,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f738,plain,
( spl3_27
| ~ spl3_1
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_11 ),
inference(avatar_split_clause,[],[f737,f87,f78,f73,f56,f43,f690]) ).
fof(f737,plain,
( sk_c8 = sk_c6
| ~ spl3_1
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_11 ),
inference(forward_demodulation,[],[f708,f725]) ).
fof(f708,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9 ),
inference(backward_demodulation,[],[f58,f706]) ).
fof(f732,plain,
( spl3_28
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_11 ),
inference(avatar_split_clause,[],[f712,f87,f78,f73,f56,f696]) ).
fof(f696,plain,
( spl3_28
<=> sk_c8 = multiply(sk_c4,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_28])]) ).
fof(f712,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl3_4
| ~ spl3_8
| ~ spl3_9
| ~ spl3_11 ),
inference(backward_demodulation,[],[f89,f706]) ).
fof(f731,plain,
( ~ spl3_28
| ~ spl3_1
| ~ spl3_4
| spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12 ),
inference(avatar_split_clause,[],[f726,f92,f78,f73,f69,f56,f43,f696]) ).
fof(f69,plain,
( spl3_7
<=> sk_c7 = multiply(sk_c1,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f92,plain,
( spl3_12
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f726,plain,
( sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl3_1
| ~ spl3_4
| spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12 ),
inference(backward_demodulation,[],[f676,f706]) ).
fof(f676,plain,
( sk_c7 != multiply(sk_c4,sk_c8)
| ~ spl3_1
| spl3_7
| ~ spl3_12 ),
inference(backward_demodulation,[],[f70,f675]) ).
fof(f675,plain,
( sk_c4 = sk_c1
| ~ spl3_1
| ~ spl3_12 ),
inference(backward_demodulation,[],[f167,f672]) ).
fof(f167,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl3_12 ),
inference(superposition,[],[f155,f144]) ).
fof(f144,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl3_12 ),
inference(superposition,[],[f2,f94]) ).
fof(f94,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f70,plain,
( sk_c7 != multiply(sk_c1,sk_c8)
| spl3_7 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f700,plain,
( ~ spl3_10
| ~ spl3_3
| ~ spl3_14
| ~ spl3_16 ),
inference(avatar_split_clause,[],[f682,f111,f101,f52,f83]) ).
fof(f83,plain,
( spl3_10
<=> sk_c8 = multiply(sk_c3,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f52,plain,
( spl3_3
<=> sk_c8 = multiply(sk_c2,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f101,plain,
( spl3_14
<=> ! [X4] :
( sk_c8 != multiply(X4,inverse(X4))
| sk_c8 != multiply(inverse(X4),sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f111,plain,
( spl3_16
<=> sk_c3 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f682,plain,
( sk_c8 != multiply(sk_c2,sk_c3)
| sk_c8 != multiply(sk_c3,sk_c7)
| ~ spl3_14
| ~ spl3_16 ),
inference(superposition,[],[f102,f113]) ).
fof(f113,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f102,plain,
( ! [X4] :
( sk_c8 != multiply(inverse(X4),sk_c7)
| sk_c8 != multiply(X4,inverse(X4)) )
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f699,plain,
( ~ spl3_28
| ~ spl3_27
| ~ spl3_1
| ~ spl3_2
| ~ spl3_14 ),
inference(avatar_split_clause,[],[f694,f101,f47,f43,f690,f696]) ).
fof(f694,plain,
( sk_c8 != sk_c6
| sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl3_1
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_demodulation,[],[f680,f49]) ).
fof(f680,plain,
( sk_c8 != multiply(sk_c8,sk_c7)
| sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl3_1
| ~ spl3_14 ),
inference(superposition,[],[f102,f45]) ).
fof(f652,plain,
( ~ spl3_12
| ~ spl3_2
| ~ spl3_6
| ~ spl3_7
| ~ spl3_12 ),
inference(avatar_split_clause,[],[f649,f92,f69,f65,f47,f92]) ).
fof(f649,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl3_2
| ~ spl3_6
| ~ spl3_7
| ~ spl3_12 ),
inference(trivial_inequality_removal,[],[f646]) ).
fof(f646,plain,
( sk_c8 != inverse(sk_c1)
| identity != identity
| ~ spl3_2
| ~ spl3_6
| ~ spl3_7
| ~ spl3_12 ),
inference(superposition,[],[f555,f180]) ).
fof(f180,plain,
( identity = multiply(sk_c1,sk_c8)
| ~ spl3_2
| ~ spl3_7
| ~ spl3_12 ),
inference(backward_demodulation,[],[f71,f179]) ).
fof(f179,plain,
( identity = sk_c7
| ~ spl3_2
| ~ spl3_7
| ~ spl3_12 ),
inference(forward_demodulation,[],[f178,f2]) ).
fof(f178,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl3_2
| ~ spl3_7
| ~ spl3_12 ),
inference(forward_demodulation,[],[f166,f175]) ).
fof(f175,plain,
( sk_c8 = sk_c6
| ~ spl3_2
| ~ spl3_7
| ~ spl3_12 ),
inference(backward_demodulation,[],[f49,f174]) ).
fof(f174,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl3_7
| ~ spl3_12 ),
inference(forward_demodulation,[],[f168,f94]) ).
fof(f168,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c7)
| ~ spl3_7 ),
inference(superposition,[],[f155,f71]) ).
fof(f166,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c6)
| ~ spl3_2 ),
inference(superposition,[],[f155,f49]) ).
fof(f71,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f555,plain,
( ! [X3] :
( identity != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl3_2
| ~ spl3_6
| ~ spl3_7
| ~ spl3_12 ),
inference(forward_demodulation,[],[f66,f179]) ).
fof(f475,plain,
( ~ spl3_2
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f474]) ).
fof(f474,plain,
( $false
| ~ spl3_2
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f473]) ).
fof(f473,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_17 ),
inference(superposition,[],[f472,f334]) ).
fof(f334,plain,
( identity = inverse(identity)
| ~ spl3_2
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12 ),
inference(backward_demodulation,[],[f305,f331]) ).
fof(f331,plain,
( identity = sk_c1
| ~ spl3_2
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f308,f2]) ).
fof(f308,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl3_2
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12 ),
inference(backward_demodulation,[],[f167,f302]) ).
fof(f302,plain,
( identity = sk_c8
| ~ spl3_2
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f301,f1]) ).
fof(f301,plain,
( sk_c8 = multiply(identity,identity)
| ~ spl3_2
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f299,f272]) ).
fof(f272,plain,
( identity = inverse(sk_c5)
| ~ spl3_2
| ~ spl3_7
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f80,f179]) ).
fof(f299,plain,
( sk_c8 = multiply(inverse(sk_c5),identity)
| ~ spl3_2
| ~ spl3_7
| ~ spl3_8
| ~ spl3_12 ),
inference(superposition,[],[f155,f277]) ).
fof(f277,plain,
( identity = multiply(sk_c5,sk_c8)
| ~ spl3_2
| ~ spl3_7
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_demodulation,[],[f276,f179]) ).
fof(f276,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| ~ spl3_2
| ~ spl3_7
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_demodulation,[],[f75,f175]) ).
fof(f305,plain,
( identity = inverse(sk_c1)
| ~ spl3_2
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12 ),
inference(backward_demodulation,[],[f94,f302]) ).
fof(f472,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_17 ),
inference(forward_demodulation,[],[f462,f334]) ).
fof(f462,plain,
( identity != inverse(inverse(identity))
| ~ spl3_2
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f459]) ).
fof(f459,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl3_2
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_17 ),
inference(superposition,[],[f422,f2]) ).
fof(f422,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl3_2
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_17 ),
inference(forward_demodulation,[],[f421,f302]) ).
fof(f421,plain,
( ! [X6] :
( sk_c8 != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl3_2
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_17 ),
inference(forward_demodulation,[],[f420,f179]) ).
fof(f420,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| identity != inverse(X6) )
| ~ spl3_2
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_17 ),
inference(forward_demodulation,[],[f123,f302]) ).
fof(f405,plain,
( ~ spl3_2
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f404]) ).
fof(f404,plain,
( $false
| ~ spl3_2
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_14 ),
inference(trivial_inequality_removal,[],[f403]) ).
fof(f403,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_14 ),
inference(superposition,[],[f389,f1]) ).
fof(f389,plain,
( identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_14 ),
inference(forward_demodulation,[],[f388,f334]) ).
fof(f388,plain,
( identity != multiply(identity,inverse(identity))
| ~ spl3_2
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_14 ),
inference(trivial_inequality_removal,[],[f386]) ).
fof(f386,plain,
( identity != multiply(identity,inverse(identity))
| identity != identity
| ~ spl3_2
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_14 ),
inference(superposition,[],[f366,f2]) ).
fof(f366,plain,
( ! [X4] :
( identity != multiply(inverse(X4),identity)
| identity != multiply(X4,inverse(X4)) )
| ~ spl3_2
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_14 ),
inference(forward_demodulation,[],[f365,f302]) ).
fof(f365,plain,
( ! [X4] :
( sk_c8 != multiply(X4,inverse(X4))
| identity != multiply(inverse(X4),identity) )
| ~ spl3_2
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_14 ),
inference(forward_demodulation,[],[f364,f302]) ).
fof(f364,plain,
( ! [X4] :
( sk_c8 != multiply(inverse(X4),identity)
| sk_c8 != multiply(X4,inverse(X4)) )
| ~ spl3_2
| ~ spl3_7
| ~ spl3_12
| ~ spl3_14 ),
inference(forward_demodulation,[],[f102,f179]) ).
fof(f363,plain,
( ~ spl3_2
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f362]) ).
fof(f362,plain,
( $false
| ~ spl3_2
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_18 ),
inference(trivial_inequality_removal,[],[f361]) ).
fof(f361,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_18 ),
inference(superposition,[],[f357,f272]) ).
fof(f357,plain,
( identity != inverse(sk_c5)
| ~ spl3_2
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_18 ),
inference(trivial_inequality_removal,[],[f356]) ).
fof(f356,plain,
( identity != identity
| identity != inverse(sk_c5)
| ~ spl3_2
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_18 ),
inference(superposition,[],[f319,f320]) ).
fof(f320,plain,
( identity = multiply(sk_c5,identity)
| ~ spl3_2
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12 ),
inference(backward_demodulation,[],[f277,f302]) ).
fof(f319,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl3_2
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_18 ),
inference(backward_demodulation,[],[f275,f302]) ).
fof(f275,plain,
( ! [X7] :
( identity != inverse(X7)
| identity != multiply(X7,sk_c8) )
| ~ spl3_2
| ~ spl3_7
| ~ spl3_12
| ~ spl3_18 ),
inference(forward_demodulation,[],[f274,f179]) ).
fof(f274,plain,
( ! [X7] :
( sk_c7 != inverse(X7)
| identity != multiply(X7,sk_c8) )
| ~ spl3_2
| ~ spl3_7
| ~ spl3_12
| ~ spl3_18 ),
inference(forward_demodulation,[],[f273,f179]) ).
fof(f273,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c8)
| sk_c7 != inverse(X7) )
| ~ spl3_2
| ~ spl3_7
| ~ spl3_12
| ~ spl3_18 ),
inference(forward_demodulation,[],[f138,f175]) ).
fof(f270,plain,
( ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_10
| ~ spl3_12
| ~ spl3_16
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f269]) ).
fof(f269,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_10
| ~ spl3_12
| ~ spl3_16
| ~ spl3_18 ),
inference(trivial_inequality_removal,[],[f268]) ).
fof(f268,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_10
| ~ spl3_12
| ~ spl3_16
| ~ spl3_18 ),
inference(superposition,[],[f266,f239]) ).
fof(f239,plain,
( identity = inverse(identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_10
| ~ spl3_12
| ~ spl3_16 ),
inference(backward_demodulation,[],[f232,f234]) ).
fof(f234,plain,
( identity = sk_c3
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_10
| ~ spl3_12
| ~ spl3_16 ),
inference(forward_demodulation,[],[f213,f216]) ).
fof(f216,plain,
( identity = multiply(sk_c3,identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_10
| ~ spl3_12
| ~ spl3_16 ),
inference(backward_demodulation,[],[f181,f207]) ).
fof(f207,plain,
( identity = sk_c8
| ~ spl3_3
| ~ spl3_16 ),
inference(forward_demodulation,[],[f205,f2]) ).
fof(f205,plain,
( sk_c8 = multiply(inverse(sk_c3),sk_c3)
| ~ spl3_3
| ~ spl3_16 ),
inference(superposition,[],[f155,f173]) ).
fof(f173,plain,
( sk_c3 = multiply(sk_c3,sk_c8)
| ~ spl3_3
| ~ spl3_16 ),
inference(forward_demodulation,[],[f169,f113]) ).
fof(f169,plain,
( sk_c3 = multiply(inverse(sk_c2),sk_c8)
| ~ spl3_3 ),
inference(superposition,[],[f155,f54]) ).
fof(f54,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f181,plain,
( sk_c8 = multiply(sk_c3,identity)
| ~ spl3_2
| ~ spl3_7
| ~ spl3_10
| ~ spl3_12 ),
inference(backward_demodulation,[],[f85,f179]) ).
fof(f85,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f213,plain,
( sk_c3 = multiply(sk_c3,identity)
| ~ spl3_3
| ~ spl3_16 ),
inference(backward_demodulation,[],[f173,f207]) ).
fof(f232,plain,
( sk_c3 = inverse(identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_10
| ~ spl3_12
| ~ spl3_16 ),
inference(backward_demodulation,[],[f113,f228]) ).
fof(f228,plain,
( identity = sk_c2
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_10
| ~ spl3_12
| ~ spl3_16 ),
inference(backward_demodulation,[],[f171,f217]) ).
fof(f217,plain,
( identity = multiply(inverse(sk_c3),identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_10
| ~ spl3_12
| ~ spl3_16 ),
inference(backward_demodulation,[],[f184,f207]) ).
fof(f184,plain,
( identity = multiply(inverse(sk_c3),sk_c8)
| ~ spl3_2
| ~ spl3_7
| ~ spl3_10
| ~ spl3_12 ),
inference(backward_demodulation,[],[f170,f179]) ).
fof(f170,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c8)
| ~ spl3_10 ),
inference(superposition,[],[f155,f85]) ).
fof(f171,plain,
( sk_c2 = multiply(inverse(sk_c3),identity)
| ~ spl3_16 ),
inference(superposition,[],[f155,f145]) ).
fof(f145,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl3_16 ),
inference(superposition,[],[f2,f113]) ).
fof(f266,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_12
| ~ spl3_16
| ~ spl3_18 ),
inference(trivial_inequality_removal,[],[f262]) ).
fof(f262,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_12
| ~ spl3_16
| ~ spl3_18 ),
inference(superposition,[],[f261,f1]) ).
fof(f261,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_12
| ~ spl3_16
| ~ spl3_18 ),
inference(forward_demodulation,[],[f260,f179]) ).
fof(f260,plain,
( ! [X7] :
( sk_c7 != inverse(X7)
| identity != multiply(X7,identity) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_12
| ~ spl3_16
| ~ spl3_18 ),
inference(forward_demodulation,[],[f259,f179]) ).
fof(f259,plain,
( ! [X7] :
( sk_c7 != multiply(X7,identity)
| sk_c7 != inverse(X7) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_12
| ~ spl3_16
| ~ spl3_18 ),
inference(forward_demodulation,[],[f138,f214]) ).
fof(f214,plain,
( identity = sk_c6
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_12
| ~ spl3_16 ),
inference(backward_demodulation,[],[f175,f207]) ).
fof(f258,plain,
( ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_10
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f257]) ).
fof(f257,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_10
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f256]) ).
fof(f256,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_10
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(superposition,[],[f254,f239]) ).
fof(f254,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f250]) ).
fof(f250,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(superposition,[],[f240,f1]) ).
fof(f240,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f222,f207]) ).
fof(f222,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c8 != multiply(X6,identity) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(backward_demodulation,[],[f202,f207]) ).
fof(f202,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| sk_c8 != multiply(X6,identity) )
| ~ spl3_2
| ~ spl3_7
| ~ spl3_12
| ~ spl3_17 ),
inference(forward_demodulation,[],[f123,f179]) ).
fof(f201,plain,
( ~ spl3_2
| spl3_4
| ~ spl3_7
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f200]) ).
fof(f200,plain,
( $false
| ~ spl3_2
| spl3_4
| ~ spl3_7
| ~ spl3_12 ),
inference(trivial_inequality_removal,[],[f199]) ).
fof(f199,plain,
( sk_c8 != sk_c8
| ~ spl3_2
| spl3_4
| ~ spl3_7
| ~ spl3_12 ),
inference(superposition,[],[f187,f1]) ).
fof(f187,plain,
( sk_c8 != multiply(identity,sk_c8)
| ~ spl3_2
| spl3_4
| ~ spl3_7
| ~ spl3_12 ),
inference(backward_demodulation,[],[f177,f179]) ).
fof(f177,plain,
( sk_c8 != multiply(sk_c7,sk_c8)
| ~ spl3_2
| spl3_4
| ~ spl3_7
| ~ spl3_12 ),
inference(backward_demodulation,[],[f57,f175]) ).
fof(f57,plain,
( sk_c6 != multiply(sk_c7,sk_c8)
| spl3_4 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f143,plain,
( spl3_9
| spl3_7 ),
inference(avatar_split_clause,[],[f12,f69,f78]) ).
fof(f12,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f142,plain,
( spl3_1
| spl3_7 ),
inference(avatar_split_clause,[],[f10,f69,f43]) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f141,plain,
( spl3_9
| spl3_3 ),
inference(avatar_split_clause,[],[f22,f52,f78]) ).
fof(f22,axiom,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f140,plain,
( spl3_8
| spl3_3 ),
inference(avatar_split_clause,[],[f23,f52,f73]) ).
fof(f23,axiom,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f139,plain,
( spl3_18
| spl3_15 ),
inference(avatar_split_clause,[],[f40,f104,f137]) ).
fof(f104,plain,
( spl3_15
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f40,plain,
! [X7] :
( sP2
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != inverse(X7) ),
inference(cnf_transformation,[],[f40_D]) ).
fof(f40_D,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c6)
| sk_c7 != inverse(X7) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f134,plain,
( spl3_11
| spl3_7 ),
inference(avatar_split_clause,[],[f11,f69,f87]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f133,plain,
( spl3_16
| spl3_9 ),
inference(avatar_split_clause,[],[f27,f78,f111]) ).
fof(f27,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f131,plain,
( spl3_12
| spl3_11 ),
inference(avatar_split_clause,[],[f16,f87,f92]) ).
fof(f16,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f130,plain,
( spl3_2
| spl3_4 ),
inference(avatar_split_clause,[],[f4,f56,f47]) ).
fof(f4,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f129,plain,
( spl3_8
| spl3_10 ),
inference(avatar_split_clause,[],[f33,f83,f73]) ).
fof(f33,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f128,plain,
( spl3_12
| spl3_8 ),
inference(avatar_split_clause,[],[f18,f73,f92]) ).
fof(f18,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f125,plain,
( spl3_2
| spl3_11 ),
inference(avatar_split_clause,[],[f6,f87,f47]) ).
fof(f6,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f124,plain,
( spl3_17
| spl3_13 ),
inference(avatar_split_clause,[],[f38,f97,f122]) ).
fof(f97,plain,
( spl3_13
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f38,plain,
! [X6] :
( sP1
| sk_c8 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7) ),
inference(cnf_transformation,[],[f38_D]) ).
fof(f38_D,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f120,plain,
( spl3_1
| spl3_12 ),
inference(avatar_split_clause,[],[f15,f92,f43]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f118,plain,
( spl3_12
| spl3_4 ),
inference(avatar_split_clause,[],[f14,f56,f92]) ).
fof(f14,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f117,plain,
( spl3_2
| spl3_8 ),
inference(avatar_split_clause,[],[f8,f73,f47]) ).
fof(f8,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f116,plain,
( spl3_7
| spl3_4 ),
inference(avatar_split_clause,[],[f9,f56,f69]) ).
fof(f9,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f115,plain,
( spl3_8
| spl3_16 ),
inference(avatar_split_clause,[],[f28,f111,f73]) ).
fof(f28,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f109,plain,
( spl3_9
| spl3_10 ),
inference(avatar_split_clause,[],[f32,f83,f78]) ).
fof(f32,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f107,plain,
( ~ spl3_4
| ~ spl3_5
| ~ spl3_13
| ~ spl3_2
| spl3_14
| ~ spl3_15 ),
inference(avatar_split_clause,[],[f41,f104,f101,f47,f97,f61,f56]) ).
fof(f61,plain,
( spl3_5
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f41,plain,
! [X4] :
( ~ sP2
| sk_c8 != multiply(X4,inverse(X4))
| multiply(sk_c8,sk_c7) != sk_c6
| ~ sP1
| sk_c8 != multiply(inverse(X4),sk_c7)
| ~ sP0
| sk_c6 != multiply(sk_c7,sk_c8) ),
inference(general_splitting,[],[f39,f40_D]) ).
fof(f39,plain,
! [X7,X4] :
( sk_c8 != multiply(inverse(X4),sk_c7)
| sk_c8 != multiply(X4,inverse(X4))
| sk_c6 != multiply(sk_c7,sk_c8)
| multiply(sk_c8,sk_c7) != sk_c6
| sk_c7 != inverse(X7)
| sk_c7 != multiply(X7,sk_c6)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f37,f38_D]) ).
fof(f37,plain,
! [X6,X7,X4] :
( sk_c8 != multiply(inverse(X4),sk_c7)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6)
| sk_c8 != multiply(X4,inverse(X4))
| sk_c6 != multiply(sk_c7,sk_c8)
| multiply(sk_c8,sk_c7) != sk_c6
| sk_c7 != inverse(X7)
| sk_c7 != multiply(X7,sk_c6)
| ~ sP0 ),
inference(general_splitting,[],[f35,f36_D]) ).
fof(f36,plain,
! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sP0
| sk_c8 != inverse(X3) ),
inference(cnf_transformation,[],[f36_D]) ).
fof(f36_D,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f35,plain,
! [X3,X6,X7,X4] :
( sk_c8 != multiply(inverse(X4),sk_c7)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X3,sk_c8)
| sk_c8 != multiply(X4,inverse(X4))
| sk_c6 != multiply(sk_c7,sk_c8)
| multiply(sk_c8,sk_c7) != sk_c6
| sk_c7 != inverse(X7)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X7,sk_c6) ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c8 != multiply(X5,sk_c7)
| inverse(X4) != X5
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X3,sk_c8)
| sk_c8 != multiply(X4,X5)
| sk_c6 != multiply(sk_c7,sk_c8)
| multiply(sk_c8,sk_c7) != sk_c6
| sk_c7 != inverse(X7)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X7,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f95,plain,
( spl3_9
| spl3_12 ),
inference(avatar_split_clause,[],[f17,f92,f78]) ).
fof(f17,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f81,plain,
( spl3_2
| spl3_9 ),
inference(avatar_split_clause,[],[f7,f78,f47]) ).
fof(f7,axiom,
( sk_c7 = inverse(sk_c5)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f76,plain,
( spl3_7
| spl3_8 ),
inference(avatar_split_clause,[],[f13,f73,f69]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f67,plain,
( spl3_5
| spl3_6 ),
inference(avatar_split_clause,[],[f36,f65,f61]) ).
fof(f50,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f5,f47,f43]) ).
fof(f5,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : GRP279-1 : TPTP v8.1.0. Released v2.5.0.
% 0.09/0.12 % 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 : n001.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 22:45:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.46 % (9262)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.49 % (9270)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50 % (9261)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)
% 0.19/0.50 % (9265)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (9260)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (9274)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.52 % (9266)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.52 % (9253)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (9257)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)
% 0.19/0.52 % (9256)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (9254)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)
% 0.19/0.52 % (9276)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52 % (9262)First to succeed.
% 0.19/0.52 % (9255)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (9258)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (9260)Instruction limit reached!
% 0.19/0.52 % (9260)------------------------------
% 0.19/0.52 % (9260)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (9260)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (9260)Termination reason: Unknown
% 0.19/0.52 % (9260)Termination phase: Property scanning
% 0.19/0.52
% 0.19/0.52 % (9260)Memory used [KB]: 895
% 0.19/0.52 % (9260)Time elapsed: 0.002 s
% 0.19/0.52 % (9260)Instructions burned: 2 (million)
% 0.19/0.52 % (9260)------------------------------
% 0.19/0.52 % (9260)------------------------------
% 0.19/0.52 % (9252)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52 % (9264)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53 % (9262)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (9262)------------------------------
% 0.19/0.53 % (9262)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (9262)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (9262)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (9262)Memory used [KB]: 5756
% 0.19/0.53 % (9262)Time elapsed: 0.130 s
% 0.19/0.53 % (9262)Instructions burned: 25 (million)
% 0.19/0.53 % (9262)------------------------------
% 0.19/0.53 % (9262)------------------------------
% 0.19/0.53 % (9251)Success in time 0.184 s
%------------------------------------------------------------------------------