TSTP Solution File: GRP283-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP283-1 : 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 : n023.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 16:21:09 EDT 2022
% Result : Unsatisfiable 1.68s 0.58s
% Output : Refutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 62
% Syntax : Number of formulae : 247 ( 6 unt; 0 def)
% Number of atoms : 1037 ( 284 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 1539 ( 749 ~; 768 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 23 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 61 ( 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f758,plain,
$false,
inference(avatar_sat_refutation,[],[f56,f61,f66,f71,f76,f77,f82,f87,f92,f97,f98,f103,f104,f105,f110,f111,f112,f113,f114,f130,f134,f138,f139,f140,f141,f142,f143,f144,f145,f146,f147,f151,f152,f153,f154,f155,f156,f157,f158,f159,f241,f317,f361,f418,f454,f473,f563,f571,f636,f640,f714,f738,f757]) ).
fof(f757,plain,
( ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f756]) ).
fof(f756,plain,
( $false
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f755,f239]) ).
fof(f239,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11 ),
inference(backward_demodulation,[],[f81,f235]) ).
fof(f235,plain,
( sk_c8 = sk_c1
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f231,f201]) ).
fof(f201,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f171,f188]) ).
fof(f188,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11 ),
inference(backward_demodulation,[],[f176,f185]) ).
fof(f185,plain,
( sk_c8 = sk_c7
| ~ spl3_1
| ~ spl3_4
| ~ spl3_11 ),
inference(backward_demodulation,[],[f65,f182]) ).
fof(f182,plain,
( sk_c8 = multiply(sk_c8,sk_c3)
| ~ spl3_1
| ~ spl3_11 ),
inference(superposition,[],[f173,f102]) ).
fof(f102,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f100,plain,
( spl3_11
<=> sk_c3 = multiply(sk_c2,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f173,plain,
( ! [X11] : multiply(sk_c8,multiply(sk_c2,X11)) = X11
| ~ spl3_1 ),
inference(forward_demodulation,[],[f168,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f168,plain,
( ! [X11] : multiply(identity,X11) = multiply(sk_c8,multiply(sk_c2,X11))
| ~ spl3_1 ),
inference(superposition,[],[f3,f160]) ).
fof(f160,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl3_1 ),
inference(superposition,[],[f2,f51]) ).
fof(f51,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl3_1
<=> sk_c8 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
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(f65,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl3_4
<=> sk_c7 = multiply(sk_c8,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f176,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl3_5
| ~ spl3_7 ),
inference(superposition,[],[f172,f70]) ).
fof(f70,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl3_5
<=> sk_c7 = multiply(sk_c1,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f172,plain,
( ! [X9] : multiply(sk_c8,multiply(sk_c1,X9)) = X9
| ~ spl3_7 ),
inference(forward_demodulation,[],[f166,f1]) ).
fof(f166,plain,
( ! [X9] : multiply(sk_c8,multiply(sk_c1,X9)) = multiply(identity,X9)
| ~ spl3_7 ),
inference(superposition,[],[f3,f161]) ).
fof(f161,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl3_7 ),
inference(superposition,[],[f2,f81]) ).
fof(f171,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f164,f1]) ).
fof(f164,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f231,plain,
( sk_c1 = multiply(inverse(sk_c8),sk_c8)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11 ),
inference(backward_demodulation,[],[f202,f225]) ).
fof(f225,plain,
( identity = sk_c8
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11 ),
inference(superposition,[],[f201,f2]) ).
fof(f202,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl3_7 ),
inference(superposition,[],[f171,f161]) ).
fof(f81,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f79,plain,
( spl3_7
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f755,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f745,f239]) ).
fof(f745,plain,
( sk_c8 != inverse(inverse(sk_c8))
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f741]) ).
fof(f741,plain,
( sk_c8 != inverse(inverse(sk_c8))
| sk_c8 != sk_c8
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_19 ),
inference(superposition,[],[f739,f233]) ).
fof(f233,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c8
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11 ),
inference(backward_demodulation,[],[f2,f225]) ).
fof(f739,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f150,f185]) ).
fof(f150,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f149,plain,
( spl3_19
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f738,plain,
( ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| ~ spl3_11
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f737]) ).
fof(f737,plain,
( $false
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| ~ spl3_11
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f736,f239]) ).
fof(f736,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f726,f239]) ).
fof(f726,plain,
( sk_c8 != inverse(inverse(sk_c8))
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| ~ spl3_11
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f722]) ).
fof(f722,plain,
( sk_c8 != inverse(inverse(sk_c8))
| sk_c8 != sk_c8
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| ~ spl3_11
| ~ spl3_17 ),
inference(superposition,[],[f720,f233]) ).
fof(f720,plain,
( ! [X7] :
( sk_c8 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f133,f179]) ).
fof(f179,plain,
( sk_c8 = sk_c6
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8 ),
inference(backward_demodulation,[],[f86,f176]) ).
fof(f86,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl3_8
<=> multiply(sk_c8,sk_c7) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f133,plain,
( ! [X7] :
( sk_c6 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl3_17
<=> ! [X7] :
( sk_c8 != inverse(X7)
| sk_c6 != multiply(X7,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f714,plain,
( ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f713]) ).
fof(f713,plain,
( $false
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f708,f239]) ).
fof(f708,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_18 ),
inference(trivial_inequality_removal,[],[f706]) ).
fof(f706,plain,
( sk_c8 != inverse(sk_c8)
| sk_c8 != sk_c8
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_18 ),
inference(superposition,[],[f646,f234]) ).
fof(f234,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11 ),
inference(backward_demodulation,[],[f1,f225]) ).
fof(f646,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c8)
| sk_c8 != inverse(X6) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f645,f185]) ).
fof(f645,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c8)
| sk_c7 != inverse(X6) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f137,f185]) ).
fof(f137,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c7 != inverse(X6) )
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl3_18
<=> ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c7 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f640,plain,
( ~ spl3_1
| spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| ~ spl3_11 ),
inference(avatar_contradiction_clause,[],[f639]) ).
fof(f639,plain,
( $false
| ~ spl3_1
| spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| ~ spl3_11 ),
inference(subsumption_resolution,[],[f638,f234]) ).
fof(f638,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl3_1
| spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| ~ spl3_11 ),
inference(forward_demodulation,[],[f637,f185]) ).
fof(f637,plain,
( sk_c8 != multiply(sk_c7,sk_c8)
| spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8 ),
inference(forward_demodulation,[],[f54,f179]) ).
fof(f54,plain,
( sk_c8 != multiply(sk_c7,sk_c6)
| spl3_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f53,plain,
( spl3_2
<=> sk_c8 = multiply(sk_c7,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f636,plain,
( ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f635]) ).
fof(f635,plain,
( $false
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f634,f239]) ).
fof(f634,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f628,f234]) ).
fof(f628,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| sk_c8 != inverse(sk_c8)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_14 ),
inference(superposition,[],[f546,f234]) ).
fof(f546,plain,
( ! [X5] :
( sk_c8 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f121,f185]) ).
fof(f121,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8)) )
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f120,plain,
( spl3_14
<=> ! [X5] :
( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f571,plain,
( ~ spl3_1
| spl3_3
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_11 ),
inference(avatar_contradiction_clause,[],[f570]) ).
fof(f570,plain,
( $false
| ~ spl3_1
| spl3_3
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_11 ),
inference(subsumption_resolution,[],[f569,f179]) ).
fof(f569,plain,
( sk_c8 != sk_c6
| ~ spl3_1
| spl3_3
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9
| ~ spl3_11 ),
inference(forward_demodulation,[],[f568,f234]) ).
fof(f568,plain,
( sk_c6 != multiply(sk_c8,sk_c8)
| ~ spl3_1
| spl3_3
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9
| ~ spl3_11 ),
inference(forward_demodulation,[],[f59,f514]) ).
fof(f514,plain,
( sk_c8 = sk_c5
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9
| ~ spl3_11 ),
inference(forward_demodulation,[],[f513,f225]) ).
fof(f513,plain,
( identity = sk_c5
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9
| ~ spl3_11 ),
inference(forward_demodulation,[],[f264,f234]) ).
fof(f264,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl3_9 ),
inference(superposition,[],[f2,f91]) ).
fof(f91,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl3_9
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f59,plain,
( sk_c6 != multiply(sk_c5,sk_c8)
| spl3_3 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl3_3
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f563,plain,
( ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| spl3_6
| ~ spl3_7
| ~ spl3_11
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f562]) ).
fof(f562,plain,
( $false
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| spl3_6
| ~ spl3_7
| ~ spl3_11
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f560,f239]) ).
fof(f560,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| spl3_6
| ~ spl3_7
| ~ spl3_11
| ~ spl3_12 ),
inference(backward_demodulation,[],[f476,f551]) ).
fof(f551,plain,
( sk_c8 = sk_c4
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_12 ),
inference(superposition,[],[f525,f233]) ).
fof(f525,plain,
( ! [X0] : multiply(inverse(sk_c4),X0) = X0
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_12 ),
inference(superposition,[],[f171,f506]) ).
fof(f506,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f505,f234]) ).
fof(f505,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c8,X0)) = multiply(sk_c8,X0)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_11
| ~ spl3_12 ),
inference(superposition,[],[f3,f493]) ).
fof(f493,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f109,f185]) ).
fof(f109,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl3_12
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f476,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl3_1
| ~ spl3_4
| spl3_6
| ~ spl3_11 ),
inference(forward_demodulation,[],[f74,f185]) ).
fof(f74,plain,
( sk_c7 != inverse(sk_c4)
| spl3_6 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f73,plain,
( spl3_6
<=> sk_c7 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f473,plain,
( ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f472]) ).
fof(f472,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f471,f322]) ).
fof(f322,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12 ),
inference(backward_demodulation,[],[f301,f311]) ).
fof(f311,plain,
( sk_c8 = sk_c7
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12 ),
inference(backward_demodulation,[],[f253,f299]) ).
fof(f299,plain,
( sk_c8 = multiply(sk_c7,sk_c8)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12 ),
inference(backward_demodulation,[],[f55,f295]) ).
fof(f295,plain,
( sk_c8 = sk_c6
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12 ),
inference(superposition,[],[f289,f250]) ).
fof(f250,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl3_3
| ~ spl3_9 ),
inference(forward_demodulation,[],[f248,f91]) ).
fof(f248,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c6)
| ~ spl3_3 ),
inference(superposition,[],[f171,f60]) ).
fof(f60,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f289,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl3_6
| ~ spl3_10
| ~ spl3_12 ),
inference(backward_demodulation,[],[f1,f282]) ).
fof(f282,plain,
( identity = sk_c8
| ~ spl3_6
| ~ spl3_10
| ~ spl3_12 ),
inference(backward_demodulation,[],[f265,f262]) ).
fof(f262,plain,
( sk_c8 = multiply(sk_c6,sk_c7)
| ~ spl3_6
| ~ spl3_10
| ~ spl3_12 ),
inference(forward_demodulation,[],[f260,f96]) ).
fof(f96,plain,
( sk_c6 = inverse(sk_c7)
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl3_10
<=> sk_c6 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f260,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| ~ spl3_6
| ~ spl3_12 ),
inference(superposition,[],[f171,f253]) ).
fof(f265,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl3_10 ),
inference(superposition,[],[f2,f96]) ).
fof(f55,plain,
( sk_c8 = multiply(sk_c7,sk_c6)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f253,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl3_6
| ~ spl3_12 ),
inference(forward_demodulation,[],[f251,f75]) ).
fof(f75,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f251,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c8)
| ~ spl3_12 ),
inference(superposition,[],[f171,f109]) ).
fof(f301,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12 ),
inference(backward_demodulation,[],[f96,f295]) ).
fof(f471,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_19 ),
inference(forward_demodulation,[],[f470,f322]) ).
fof(f470,plain,
( sk_c8 != inverse(inverse(sk_c8))
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_19 ),
inference(forward_demodulation,[],[f469,f322]) ).
fof(f469,plain,
( sk_c8 != inverse(inverse(inverse(sk_c8)))
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_19 ),
inference(forward_demodulation,[],[f461,f322]) ).
fof(f461,plain,
( sk_c8 != inverse(inverse(inverse(inverse(sk_c8))))
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f459]) ).
fof(f459,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(inverse(inverse(inverse(sk_c8))))
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_19 ),
inference(superposition,[],[f455,f405]) ).
fof(f405,plain,
( ! [X0] : sk_c8 = multiply(inverse(inverse(inverse(X0))),X0)
| ~ spl3_6
| ~ spl3_10
| ~ spl3_12 ),
inference(superposition,[],[f171,f333]) ).
fof(f333,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c8) = X0
| ~ spl3_6
| ~ spl3_10
| ~ spl3_12 ),
inference(superposition,[],[f171,f288]) ).
fof(f288,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c8
| ~ spl3_6
| ~ spl3_10
| ~ spl3_12 ),
inference(backward_demodulation,[],[f2,f282]) ).
fof(f455,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_19 ),
inference(forward_demodulation,[],[f150,f311]) ).
fof(f454,plain,
( ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f453]) ).
fof(f453,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f452,f322]) ).
fof(f452,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_18 ),
inference(forward_demodulation,[],[f442,f322]) ).
fof(f442,plain,
( sk_c8 != inverse(inverse(sk_c8))
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_18 ),
inference(trivial_inequality_removal,[],[f438]) ).
fof(f438,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(inverse(sk_c8))
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_18 ),
inference(superposition,[],[f420,f288]) ).
fof(f420,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c8)
| sk_c8 != inverse(X6) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_18 ),
inference(forward_demodulation,[],[f419,f311]) ).
fof(f419,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c8)
| sk_c7 != inverse(X6) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_18 ),
inference(forward_demodulation,[],[f137,f311]) ).
fof(f418,plain,
( ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f417]) ).
fof(f417,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f416,f322]) ).
fof(f416,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_17 ),
inference(forward_demodulation,[],[f412,f322]) ).
fof(f412,plain,
( sk_c8 != inverse(inverse(sk_c8))
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f409]) ).
fof(f409,plain,
( sk_c8 != inverse(inverse(sk_c8))
| sk_c8 != sk_c8
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_17 ),
inference(superposition,[],[f362,f288]) ).
fof(f362,plain,
( ! [X7] :
( sk_c8 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_17 ),
inference(forward_demodulation,[],[f133,f295]) ).
fof(f361,plain,
( ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f360]) ).
fof(f360,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f359,f322]) ).
fof(f359,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_14 ),
inference(forward_demodulation,[],[f358,f322]) ).
fof(f358,plain,
( sk_c8 != inverse(inverse(sk_c8))
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f352,f289]) ).
fof(f352,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| sk_c8 != inverse(inverse(sk_c8))
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_14 ),
inference(superposition,[],[f342,f288]) ).
fof(f342,plain,
( ! [X5] :
( sk_c8 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_14 ),
inference(forward_demodulation,[],[f121,f311]) ).
fof(f317,plain,
( ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f316]) ).
fof(f316,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f311,f307]) ).
fof(f307,plain,
( sk_c8 != sk_c7
| ~ spl3_3
| ~ spl3_6
| spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12 ),
inference(backward_demodulation,[],[f294,f295]) ).
fof(f294,plain,
( sk_c7 != sk_c6
| ~ spl3_6
| spl3_8
| ~ spl3_10
| ~ spl3_12 ),
inference(backward_demodulation,[],[f85,f289]) ).
fof(f85,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| spl3_8 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f241,plain,
( ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| spl3_10
| ~ spl3_11 ),
inference(avatar_contradiction_clause,[],[f240]) ).
fof(f240,plain,
( $false
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| spl3_10
| ~ spl3_11 ),
inference(subsumption_resolution,[],[f239,f187]) ).
fof(f187,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| spl3_10
| ~ spl3_11 ),
inference(backward_demodulation,[],[f181,f185]) ).
fof(f181,plain,
( sk_c8 != inverse(sk_c7)
| ~ spl3_5
| ~ spl3_7
| ~ spl3_8
| spl3_10 ),
inference(backward_demodulation,[],[f95,f179]) ).
fof(f95,plain,
( sk_c6 != inverse(sk_c7)
| spl3_10 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f159,plain,
( spl3_9
| spl3_7 ),
inference(avatar_split_clause,[],[f21,f79,f89]) ).
fof(f21,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f158,plain,
( spl3_11
| spl3_6 ),
inference(avatar_split_clause,[],[f31,f73,f100]) ).
fof(f31,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f157,plain,
( spl3_12
| spl3_11 ),
inference(avatar_split_clause,[],[f30,f100,f107]) ).
fof(f30,axiom,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f156,plain,
( spl3_8
| spl3_12 ),
inference(avatar_split_clause,[],[f6,f107,f84]) ).
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(f155,plain,
( spl3_10
| spl3_8 ),
inference(avatar_split_clause,[],[f5,f84,f94]) ).
fof(f5,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c6 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f154,plain,
( spl3_4
| spl3_12 ),
inference(avatar_split_clause,[],[f24,f107,f63]) ).
fof(f24,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f153,plain,
( spl3_5
| spl3_10 ),
inference(avatar_split_clause,[],[f11,f94,f68]) ).
fof(f11,axiom,
( sk_c6 = inverse(sk_c7)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f152,plain,
( spl3_9
| spl3_4 ),
inference(avatar_split_clause,[],[f27,f63,f89]) ).
fof(f27,axiom,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f151,plain,
( spl3_13
| spl3_19 ),
inference(avatar_split_clause,[],[f42,f149,f116]) ).
fof(f116,plain,
( spl3_13
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f42,plain,
! [X3] :
( sk_c8 != inverse(X3)
| sP0
| sk_c7 != multiply(X3,sk_c8) ),
inference(cnf_transformation,[],[f42_D]) ).
fof(f42_D,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f147,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f26,f63,f58]) ).
fof(f26,axiom,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f146,plain,
( spl3_10
| spl3_11 ),
inference(avatar_split_clause,[],[f29,f100,f94]) ).
fof(f29,axiom,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c6 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f145,plain,
( spl3_1
| spl3_12 ),
inference(avatar_split_clause,[],[f36,f107,f49]) ).
fof(f36,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f144,plain,
( spl3_5
| spl3_6 ),
inference(avatar_split_clause,[],[f13,f73,f68]) ).
fof(f13,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f143,plain,
( spl3_6
| spl3_4 ),
inference(avatar_split_clause,[],[f25,f63,f73]) ).
fof(f25,axiom,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f142,plain,
( spl3_3
| spl3_11 ),
inference(avatar_split_clause,[],[f32,f100,f58]) ).
fof(f32,axiom,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f141,plain,
( spl3_11
| spl3_9 ),
inference(avatar_split_clause,[],[f33,f89,f100]) ).
fof(f33,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f140,plain,
( spl3_4
| spl3_10 ),
inference(avatar_split_clause,[],[f23,f94,f63]) ).
fof(f23,axiom,
( sk_c6 = inverse(sk_c7)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f139,plain,
( spl3_10
| spl3_7 ),
inference(avatar_split_clause,[],[f17,f79,f94]) ).
fof(f17,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c6 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f138,plain,
( spl3_16
| spl3_18 ),
inference(avatar_split_clause,[],[f44,f136,f127]) ).
fof(f127,plain,
( spl3_16
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f44,plain,
! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sP1
| sk_c7 != inverse(X6) ),
inference(cnf_transformation,[],[f44_D]) ).
fof(f44_D,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c7 != inverse(X6) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f134,plain,
( spl3_15
| spl3_17 ),
inference(avatar_split_clause,[],[f46,f132,f123]) ).
fof(f123,plain,
( spl3_15
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f46,plain,
! [X7] :
( sk_c8 != inverse(X7)
| sk_c6 != multiply(X7,sk_c8)
| sP2 ),
inference(cnf_transformation,[],[f46_D]) ).
fof(f46_D,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c6 != multiply(X7,sk_c8) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f130,plain,
( ~ spl3_2
| ~ spl3_10
| ~ spl3_13
| spl3_14
| ~ spl3_15
| ~ spl3_16
| ~ spl3_8 ),
inference(avatar_split_clause,[],[f47,f84,f127,f123,f120,f116,f94,f53]) ).
fof(f47,plain,
! [X5] :
( multiply(sk_c8,sk_c7) != sk_c6
| ~ sP1
| ~ sP2
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| ~ sP0
| sk_c6 != inverse(sk_c7)
| sk_c8 != multiply(sk_c7,sk_c6)
| sk_c8 != inverse(X5) ),
inference(general_splitting,[],[f45,f46_D]) ).
fof(f45,plain,
! [X7,X5] :
( sk_c8 != inverse(X7)
| sk_c8 != inverse(X5)
| multiply(sk_c8,sk_c7) != sk_c6
| sk_c6 != multiply(X7,sk_c8)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c6 != inverse(sk_c7)
| sk_c8 != multiply(sk_c7,sk_c6)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f43,f44_D]) ).
fof(f43,plain,
! [X6,X7,X5] :
( sk_c8 != inverse(X7)
| sk_c7 != inverse(X6)
| sk_c8 != inverse(X5)
| multiply(sk_c8,sk_c7) != sk_c6
| sk_c6 != multiply(X7,sk_c8)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != multiply(X6,sk_c7)
| sk_c6 != inverse(sk_c7)
| sk_c8 != multiply(sk_c7,sk_c6)
| ~ sP0 ),
inference(general_splitting,[],[f41,f42_D]) ).
fof(f41,plain,
! [X3,X6,X7,X5] :
( sk_c8 != inverse(X3)
| sk_c8 != inverse(X7)
| sk_c7 != inverse(X6)
| sk_c8 != inverse(X5)
| multiply(sk_c8,sk_c7) != sk_c6
| sk_c7 != multiply(X3,sk_c8)
| sk_c6 != multiply(X7,sk_c8)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != multiply(X6,sk_c7)
| sk_c6 != inverse(sk_c7)
| sk_c8 != multiply(sk_c7,sk_c6) ),
inference(equality_resolution,[],[f40]) ).
fof(f40,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c8 != inverse(X3)
| sk_c8 != inverse(X7)
| sk_c7 != inverse(X6)
| sk_c8 != inverse(X5)
| multiply(X5,sk_c8) != X4
| multiply(sk_c8,sk_c7) != sk_c6
| sk_c7 != multiply(X3,sk_c8)
| sk_c6 != multiply(X7,sk_c8)
| sk_c7 != multiply(sk_c8,X4)
| sk_c8 != multiply(X6,sk_c7)
| sk_c6 != inverse(sk_c7)
| sk_c8 != multiply(sk_c7,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f114,plain,
( spl3_7
| spl3_2 ),
inference(avatar_split_clause,[],[f16,f53,f79]) ).
fof(f16,axiom,
( sk_c8 = multiply(sk_c7,sk_c6)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f113,plain,
( spl3_8
| spl3_3 ),
inference(avatar_split_clause,[],[f8,f58,f84]) ).
fof(f8,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f112,plain,
( spl3_9
| spl3_8 ),
inference(avatar_split_clause,[],[f9,f84,f89]) ).
fof(f9,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f111,plain,
( spl3_12
| spl3_7 ),
inference(avatar_split_clause,[],[f18,f79,f107]) ).
fof(f18,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f110,plain,
( spl3_12
| spl3_5 ),
inference(avatar_split_clause,[],[f12,f68,f107]) ).
fof(f12,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f105,plain,
( spl3_6
| spl3_7 ),
inference(avatar_split_clause,[],[f19,f79,f73]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f104,plain,
( spl3_8
| spl3_6 ),
inference(avatar_split_clause,[],[f7,f73,f84]) ).
fof(f7,axiom,
( sk_c7 = inverse(sk_c4)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f103,plain,
( spl3_2
| spl3_11 ),
inference(avatar_split_clause,[],[f28,f100,f53]) ).
fof(f28,axiom,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c8 = multiply(sk_c7,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f98,plain,
( spl3_9
| spl3_1 ),
inference(avatar_split_clause,[],[f39,f49,f89]) ).
fof(f39,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f97,plain,
( spl3_1
| spl3_10 ),
inference(avatar_split_clause,[],[f35,f94,f49]) ).
fof(f35,axiom,
( sk_c6 = inverse(sk_c7)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f92,plain,
( spl3_9
| spl3_5 ),
inference(avatar_split_clause,[],[f15,f68,f89]) ).
fof(f15,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f87,plain,
( spl3_8
| spl3_2 ),
inference(avatar_split_clause,[],[f4,f53,f84]) ).
fof(f4,axiom,
( sk_c8 = multiply(sk_c7,sk_c6)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f82,plain,
( spl3_3
| spl3_7 ),
inference(avatar_split_clause,[],[f20,f79,f58]) ).
fof(f20,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f77,plain,
( spl3_5
| spl3_3 ),
inference(avatar_split_clause,[],[f14,f58,f68]) ).
fof(f14,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f76,plain,
( spl3_1
| spl3_6 ),
inference(avatar_split_clause,[],[f37,f73,f49]) ).
fof(f37,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f71,plain,
( spl3_5
| spl3_2 ),
inference(avatar_split_clause,[],[f10,f53,f68]) ).
fof(f10,axiom,
( sk_c8 = multiply(sk_c7,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f66,plain,
( spl3_4
| spl3_2 ),
inference(avatar_split_clause,[],[f22,f53,f63]) ).
fof(f22,axiom,
( sk_c8 = multiply(sk_c7,sk_c6)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f61,plain,
( spl3_3
| spl3_1 ),
inference(avatar_split_clause,[],[f38,f49,f58]) ).
fof(f38,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f56,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f34,f53,f49]) ).
fof(f34,axiom,
( sk_c8 = multiply(sk_c7,sk_c6)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP283-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % 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 : n023.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 22:44:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (31632)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (31638)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (31648)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.51 % (31641)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (31647)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 % (31625)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 % (31633)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (31628)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 % (31633)Instruction limit reached!
% 0.19/0.52 % (31633)------------------------------
% 0.19/0.52 % (31633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (31633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (31633)Termination reason: Unknown
% 0.19/0.52 % (31633)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (31633)Memory used [KB]: 895
% 0.19/0.52 % (31633)Time elapsed: 0.003 s
% 0.19/0.52 % (31633)Instructions burned: 2 (million)
% 0.19/0.52 % (31633)------------------------------
% 0.19/0.52 % (31633)------------------------------
% 0.19/0.52 % (31640)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.52 % (31646)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.52 % (31653)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52 % (31626)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 % (31631)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 % (31627)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)
% 0.19/0.53 % (31629)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [2]
% 0.19/0.53 % (31652)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.53 % (31632)Instruction limit reached!
% 0.19/0.53 % (31632)------------------------------
% 0.19/0.53 % (31632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (31632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (31632)Termination reason: Unknown
% 0.19/0.53 % (31632)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (31632)Memory used [KB]: 5500
% 0.19/0.53 % (31632)Time elapsed: 0.131 s
% 0.19/0.53 % (31632)Instructions burned: 7 (million)
% 0.19/0.53 % (31632)------------------------------
% 0.19/0.53 % (31632)------------------------------
% 0.19/0.53 % (31651)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)
% 0.19/0.53 % (31630)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)
% 0.19/0.53 % (31649)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53 % (31644)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (31645)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.53 % (31639)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)
% 0.19/0.54 % (31654)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.54 % (31643)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (31636)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (31637)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.54 TRYING [1]
% 0.19/0.54 TRYING [2]
% 0.19/0.54 TRYING [3]
% 0.19/0.54 % (31635)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54 % (31642)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.52/0.55 % (31650)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.52/0.56 TRYING [3]
% 1.52/0.56 % (31634)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.52/0.56 TRYING [4]
% 1.52/0.56 % (31630)First to succeed.
% 1.52/0.56 TRYING [4]
% 1.68/0.58 TRYING [1]
% 1.68/0.58 TRYING [2]
% 1.68/0.58 TRYING [3]
% 1.68/0.58 % (31627)Instruction limit reached!
% 1.68/0.58 % (31627)------------------------------
% 1.68/0.58 % (31627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.58 % (31627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.58 % (31627)Termination reason: Unknown
% 1.68/0.58 % (31627)Termination phase: Saturation
% 1.68/0.58
% 1.68/0.58 % (31627)Memory used [KB]: 1151
% 1.68/0.58 % (31627)Time elapsed: 0.165 s
% 1.68/0.58 % (31627)Instructions burned: 39 (million)
% 1.68/0.58 % (31627)------------------------------
% 1.68/0.58 % (31627)------------------------------
% 1.68/0.58 % (31646)Also succeeded, but the first one will report.
% 1.68/0.58 % (31630)Refutation found. Thanks to Tanya!
% 1.68/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.68/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.68/0.58 % (31630)------------------------------
% 1.68/0.58 % (31630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.58 % (31630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.58 % (31630)Termination reason: Refutation
% 1.68/0.58
% 1.68/0.58 % (31630)Memory used [KB]: 5756
% 1.68/0.58 % (31630)Time elapsed: 0.167 s
% 1.68/0.58 % (31630)Instructions burned: 23 (million)
% 1.68/0.58 % (31630)------------------------------
% 1.68/0.58 % (31630)------------------------------
% 1.68/0.58 % (31624)Success in time 0.232 s
%------------------------------------------------------------------------------