TSTP Solution File: GRP300-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP300-1 : 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 : n026.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 16:21:13 EDT 2022
% Result : Unsatisfiable 0.21s 0.61s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 44
% Syntax : Number of formulae : 211 ( 25 unt; 0 def)
% Number of atoms : 697 ( 239 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 940 ( 454 ~; 471 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 17 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f568,plain,
$false,
inference(avatar_sat_refutation,[],[f72,f77,f86,f91,f96,f107,f114,f115,f123,f124,f126,f128,f129,f131,f132,f133,f238,f241,f282,f296,f311,f313,f342,f344,f363,f400,f470,f487,f546,f559]) ).
fof(f559,plain,
( spl10_13
| ~ spl10_1
| ~ spl10_11
| ~ spl10_15 ),
inference(avatar_split_clause,[],[f558,f275,f109,f65,f266]) ).
fof(f266,plain,
( spl10_13
<=> identity = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).
fof(f65,plain,
( spl10_1
<=> sk_c5 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f109,plain,
( spl10_11
<=> sk_c5 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_11])]) ).
fof(f275,plain,
( spl10_15
<=> identity = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_15])]) ).
fof(f558,plain,
( identity = sF4
| ~ spl10_1
| ~ spl10_11
| ~ spl10_15 ),
inference(forward_demodulation,[],[f111,f501]) ).
fof(f501,plain,
( identity = sk_c5
| ~ spl10_1
| ~ spl10_15 ),
inference(forward_demodulation,[],[f67,f276]) ).
fof(f276,plain,
( identity = sF8
| ~ spl10_15 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f67,plain,
( sk_c5 = sF8
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f111,plain,
( sk_c5 = sF4
| ~ spl10_11 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f546,plain,
( ~ spl10_1
| spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(avatar_contradiction_clause,[],[f545]) ).
fof(f545,plain,
( $false
| ~ spl10_1
| spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(subsumption_resolution,[],[f536,f500]) ).
fof(f500,plain,
( sk_c6 != sk_c4
| ~ spl10_1
| spl10_3
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(backward_demodulation,[],[f75,f499]) ).
fof(f499,plain,
( sk_c6 = sF3
| ~ spl10_1
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(forward_demodulation,[],[f498,f497]) ).
fof(f497,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl10_1
| ~ spl10_7
| ~ spl10_11
| ~ spl10_13 ),
inference(forward_demodulation,[],[f378,f488]) ).
fof(f488,plain,
( identity = sk_c5
| ~ spl10_11
| ~ spl10_13 ),
inference(forward_demodulation,[],[f111,f267]) ).
fof(f267,plain,
( identity = sF4
| ~ spl10_13 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f378,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl10_1
| ~ spl10_7 ),
inference(backward_demodulation,[],[f339,f67]) ).
fof(f339,plain,
( sk_c6 = multiply(sk_c6,sF8)
| ~ spl10_7 ),
inference(backward_demodulation,[],[f220,f95]) ).
fof(f95,plain,
( sk_c6 = sF5
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl10_7
<=> sk_c6 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).
fof(f220,plain,
sk_c6 = multiply(sF5,sF8),
inference(forward_demodulation,[],[f191,f37]) ).
fof(f37,plain,
inverse(sk_c2) = sF5,
introduced(function_definition,[]) ).
fof(f191,plain,
sk_c6 = multiply(inverse(sk_c2),sF8),
inference(superposition,[],[f155,f41]) ).
fof(f41,plain,
multiply(sk_c2,sk_c6) = sF8,
introduced(function_definition,[]) ).
fof(f155,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f145,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f145,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
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(f498,plain,
( multiply(sk_c6,identity) = sF3
| ~ spl10_11
| ~ spl10_13 ),
inference(forward_demodulation,[],[f33,f488]) ).
fof(f33,plain,
multiply(sk_c6,sk_c5) = sF3,
introduced(function_definition,[]) ).
fof(f75,plain,
( sk_c4 != sF3
| spl10_3 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f74,plain,
( spl10_3
<=> sk_c4 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).
fof(f536,plain,
( sk_c6 = sk_c4
| ~ spl10_5
| ~ spl10_11
| ~ spl10_13 ),
inference(superposition,[],[f495,f1]) ).
fof(f495,plain,
( sk_c6 = multiply(identity,sk_c4)
| ~ spl10_5
| ~ spl10_11
| ~ spl10_13 ),
inference(forward_demodulation,[],[f374,f488]) ).
fof(f374,plain,
( sk_c6 = multiply(sk_c5,sk_c4)
| ~ spl10_5 ),
inference(forward_demodulation,[],[f44,f85]) ).
fof(f85,plain,
( sk_c6 = sF9
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl10_5
<=> sk_c6 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).
fof(f44,plain,
multiply(sk_c5,sk_c4) = sF9,
introduced(function_definition,[]) ).
fof(f487,plain,
( ~ spl10_1
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7
| ~ spl10_10
| ~ spl10_16 ),
inference(avatar_contradiction_clause,[],[f486]) ).
fof(f486,plain,
( $false
| ~ spl10_1
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7
| ~ spl10_10
| ~ spl10_16 ),
inference(subsumption_resolution,[],[f485,f412]) ).
fof(f412,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl10_1
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7
| ~ spl10_16 ),
inference(forward_demodulation,[],[f280,f392]) ).
fof(f392,plain,
( sk_c6 = sk_c2
| ~ spl10_1
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7 ),
inference(forward_demodulation,[],[f338,f385]) ).
fof(f385,plain,
( sk_c6 = multiply(inverse(sk_c6),identity)
| ~ spl10_1
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7 ),
inference(backward_demodulation,[],[f375,f380]) ).
fof(f380,plain,
( sk_c6 = sk_c4
| ~ spl10_1
| ~ spl10_3
| ~ spl10_7 ),
inference(backward_demodulation,[],[f136,f378]) ).
fof(f136,plain,
( multiply(sk_c6,sk_c5) = sk_c4
| ~ spl10_3 ),
inference(backward_demodulation,[],[f33,f76]) ).
fof(f76,plain,
( sk_c4 = sF3
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f375,plain,
( sk_c6 = multiply(inverse(sk_c4),identity)
| ~ spl10_6 ),
inference(backward_demodulation,[],[f194,f90]) ).
fof(f90,plain,
( sk_c4 = sF1
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl10_6
<=> sk_c4 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).
fof(f194,plain,
sk_c6 = multiply(inverse(sF1),identity),
inference(superposition,[],[f155,f139]) ).
fof(f139,plain,
identity = multiply(sF1,sk_c6),
inference(superposition,[],[f2,f30]) ).
fof(f30,plain,
inverse(sk_c6) = sF1,
introduced(function_definition,[]) ).
fof(f338,plain,
( sk_c2 = multiply(inverse(sk_c6),identity)
| ~ spl10_7 ),
inference(backward_demodulation,[],[f196,f95]) ).
fof(f196,plain,
sk_c2 = multiply(inverse(sF5),identity),
inference(superposition,[],[f155,f140]) ).
fof(f140,plain,
identity = multiply(sF5,sk_c2),
inference(superposition,[],[f2,f37]) ).
fof(f280,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl10_16 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f279,plain,
( spl10_16
<=> sk_c6 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_16])]) ).
fof(f485,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl10_1
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7
| ~ spl10_10
| ~ spl10_16 ),
inference(forward_demodulation,[],[f479,f412]) ).
fof(f479,plain,
( sk_c6 != inverse(inverse(sk_c6))
| ~ spl10_1
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7
| ~ spl10_10 ),
inference(trivial_inequality_removal,[],[f476]) ).
fof(f476,plain,
( sk_c6 != inverse(inverse(sk_c6))
| identity != identity
| ~ spl10_1
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7
| ~ spl10_10 ),
inference(superposition,[],[f473,f2]) ).
fof(f473,plain,
( ! [X5] :
( identity != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) )
| ~ spl10_1
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7
| ~ spl10_10 ),
inference(forward_demodulation,[],[f472,f401]) ).
fof(f401,plain,
( identity = sk_c5
| ~ spl10_1
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7 ),
inference(backward_demodulation,[],[f395,f394]) ).
fof(f394,plain,
( identity = multiply(sk_c6,sk_c6)
| ~ spl10_1
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7 ),
inference(backward_demodulation,[],[f336,f392]) ).
fof(f336,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl10_7 ),
inference(backward_demodulation,[],[f140,f95]) ).
fof(f395,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl10_1
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7 ),
inference(backward_demodulation,[],[f391,f392]) ).
fof(f391,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| ~ spl10_1 ),
inference(forward_demodulation,[],[f41,f67]) ).
fof(f472,plain,
( ! [X5] :
( sk_c6 != inverse(X5)
| sk_c5 != multiply(X5,sk_c6) )
| ~ spl10_1
| ~ spl10_3
| ~ spl10_7
| ~ spl10_10 ),
inference(forward_demodulation,[],[f471,f380]) ).
fof(f471,plain,
( ! [X5] :
( sk_c5 != multiply(X5,sk_c4)
| sk_c6 != inverse(X5) )
| ~ spl10_1
| ~ spl10_3
| ~ spl10_7
| ~ spl10_10 ),
inference(forward_demodulation,[],[f106,f380]) ).
fof(f106,plain,
( ! [X5] :
( sk_c4 != inverse(X5)
| sk_c5 != multiply(X5,sk_c4) )
| ~ spl10_10 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl10_10
<=> ! [X5] :
( sk_c4 != inverse(X5)
| sk_c5 != multiply(X5,sk_c4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).
fof(f470,plain,
( ~ spl10_1
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7
| ~ spl10_8
| ~ spl10_16 ),
inference(avatar_contradiction_clause,[],[f469]) ).
fof(f469,plain,
( $false
| ~ spl10_1
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7
| ~ spl10_8
| ~ spl10_16 ),
inference(subsumption_resolution,[],[f468,f412]) ).
fof(f468,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl10_1
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7
| ~ spl10_8
| ~ spl10_16 ),
inference(forward_demodulation,[],[f462,f412]) ).
fof(f462,plain,
( sk_c6 != inverse(inverse(sk_c6))
| ~ spl10_1
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7
| ~ spl10_8 ),
inference(trivial_inequality_removal,[],[f459]) ).
fof(f459,plain,
( identity != identity
| sk_c6 != inverse(inverse(sk_c6))
| ~ spl10_1
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7
| ~ spl10_8 ),
inference(superposition,[],[f435,f2]) ).
fof(f435,plain,
( ! [X3] :
( identity != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) )
| ~ spl10_1
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7
| ~ spl10_8 ),
inference(forward_demodulation,[],[f99,f401]) ).
fof(f99,plain,
( ! [X3] :
( sk_c6 != inverse(X3)
| sk_c5 != multiply(X3,sk_c6) )
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl10_8
<=> ! [X3] :
( sk_c5 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).
fof(f400,plain,
( spl10_9
| ~ spl10_1
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7 ),
inference(avatar_split_clause,[],[f399,f93,f88,f74,f65,f101]) ).
fof(f101,plain,
( spl10_9
<=> sk_c5 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).
fof(f399,plain,
( sk_c5 = sF7
| ~ spl10_1
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7 ),
inference(backward_demodulation,[],[f390,f395]) ).
fof(f390,plain,
( multiply(sk_c6,sk_c6) = sF7
| ~ spl10_1
| ~ spl10_3
| ~ spl10_7 ),
inference(forward_demodulation,[],[f40,f380]) ).
fof(f40,plain,
multiply(sk_c4,sk_c6) = sF7,
introduced(function_definition,[]) ).
fof(f363,plain,
( ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| spl10_9
| ~ spl10_12 ),
inference(avatar_contradiction_clause,[],[f362]) ).
fof(f362,plain,
( $false
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| spl10_9
| ~ spl10_12 ),
inference(subsumption_resolution,[],[f361,f359]) ).
fof(f359,plain,
( identity != sF7
| ~ spl10_2
| ~ spl10_4
| spl10_9 ),
inference(forward_demodulation,[],[f103,f199]) ).
fof(f199,plain,
( identity = sk_c5
| ~ spl10_2
| ~ spl10_4 ),
inference(forward_demodulation,[],[f188,f2]) ).
fof(f188,plain,
( sk_c5 = multiply(inverse(sk_c6),sk_c6)
| ~ spl10_2
| ~ spl10_4 ),
inference(superposition,[],[f155,f162]) ).
fof(f162,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl10_2
| ~ spl10_4 ),
inference(superposition,[],[f154,f137]) ).
fof(f137,plain,
( sk_c5 = multiply(sk_c1,sk_c6)
| ~ spl10_4 ),
inference(backward_demodulation,[],[f38,f81]) ).
fof(f81,plain,
( sk_c5 = sF6
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f79,plain,
( spl10_4
<=> sk_c5 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).
fof(f38,plain,
multiply(sk_c1,sk_c6) = sF6,
introduced(function_definition,[]) ).
fof(f154,plain,
( ! [X9] : multiply(sk_c6,multiply(sk_c1,X9)) = X9
| ~ spl10_2 ),
inference(forward_demodulation,[],[f147,f1]) ).
fof(f147,plain,
( ! [X9] : multiply(sk_c6,multiply(sk_c1,X9)) = multiply(identity,X9)
| ~ spl10_2 ),
inference(superposition,[],[f3,f142]) ).
fof(f142,plain,
( identity = multiply(sk_c6,sk_c1)
| ~ spl10_2 ),
inference(superposition,[],[f2,f135]) ).
fof(f135,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl10_2 ),
inference(backward_demodulation,[],[f29,f71]) ).
fof(f71,plain,
( sk_c6 = sF0
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl10_2
<=> sk_c6 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f29,plain,
inverse(sk_c1) = sF0,
introduced(function_definition,[]) ).
fof(f103,plain,
( sk_c5 != sF7
| spl10_9 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f361,plain,
( identity = sF7
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_12 ),
inference(forward_demodulation,[],[f360,f329]) ).
fof(f329,plain,
( identity = multiply(sk_c6,sk_c6)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_12 ),
inference(backward_demodulation,[],[f316,f327]) ).
fof(f327,plain,
( sk_c6 = sk_c3
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_12 ),
inference(backward_demodulation,[],[f318,f326]) ).
fof(f326,plain,
( sk_c6 = multiply(inverse(sk_c6),identity)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6 ),
inference(backward_demodulation,[],[f194,f325]) ).
fof(f325,plain,
( sk_c6 = sF1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6 ),
inference(forward_demodulation,[],[f90,f165]) ).
fof(f165,plain,
( sk_c6 = sk_c4
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4 ),
inference(backward_demodulation,[],[f136,f162]) ).
fof(f318,plain,
( sk_c3 = multiply(inverse(sk_c6),identity)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_12 ),
inference(backward_demodulation,[],[f195,f314]) ).
fof(f314,plain,
( sk_c6 = sF2
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_12 ),
inference(forward_demodulation,[],[f120,f165]) ).
fof(f120,plain,
( sk_c4 = sF2
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl10_12
<=> sk_c4 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).
fof(f195,plain,
sk_c3 = multiply(inverse(sF2),identity),
inference(superposition,[],[f155,f141]) ).
fof(f141,plain,
identity = multiply(sF2,sk_c3),
inference(superposition,[],[f2,f32]) ).
fof(f32,plain,
inverse(sk_c3) = sF2,
introduced(function_definition,[]) ).
fof(f316,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_12 ),
inference(backward_demodulation,[],[f141,f314]) ).
fof(f360,plain,
( multiply(sk_c6,sk_c6) = sF7
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4 ),
inference(forward_demodulation,[],[f40,f165]) ).
fof(f344,plain,
( spl10_15
| ~ spl10_7 ),
inference(avatar_split_clause,[],[f343,f93,f275]) ).
fof(f343,plain,
( identity = sF8
| ~ spl10_7 ),
inference(forward_demodulation,[],[f340,f2]) ).
fof(f340,plain,
( multiply(inverse(sk_c6),sk_c6) = sF8
| ~ spl10_7 ),
inference(backward_demodulation,[],[f255,f95]) ).
fof(f255,plain,
sF8 = multiply(inverse(sF5),sk_c6),
inference(superposition,[],[f155,f220]) ).
fof(f342,plain,
( spl10_16
| ~ spl10_7 ),
inference(avatar_split_clause,[],[f335,f93,f279]) ).
fof(f335,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl10_7 ),
inference(backward_demodulation,[],[f37,f95]) ).
fof(f313,plain,
( ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_8
| ~ spl10_9 ),
inference(avatar_contradiction_clause,[],[f312]) ).
fof(f312,plain,
( $false
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_8
| ~ spl10_9 ),
inference(subsumption_resolution,[],[f304,f231]) ).
fof(f231,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_9 ),
inference(backward_demodulation,[],[f135,f225]) ).
fof(f225,plain,
( sk_c6 = sk_c1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_9 ),
inference(forward_demodulation,[],[f224,f210]) ).
fof(f210,plain,
( sk_c6 = multiply(sF1,identity)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_9 ),
inference(backward_demodulation,[],[f198,f199]) ).
fof(f198,plain,
( sk_c6 = multiply(sF1,sk_c5)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_9 ),
inference(forward_demodulation,[],[f187,f30]) ).
fof(f187,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c5)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_9 ),
inference(superposition,[],[f155,f169]) ).
fof(f169,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_9 ),
inference(backward_demodulation,[],[f138,f165]) ).
fof(f138,plain,
( sk_c5 = multiply(sk_c4,sk_c6)
| ~ spl10_9 ),
inference(backward_demodulation,[],[f40,f102]) ).
fof(f102,plain,
( sk_c5 = sF7
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f224,plain,
( sk_c1 = multiply(sF1,identity)
| ~ spl10_2 ),
inference(forward_demodulation,[],[f189,f30]) ).
fof(f189,plain,
( sk_c1 = multiply(inverse(sk_c6),identity)
| ~ spl10_2 ),
inference(superposition,[],[f155,f142]) ).
fof(f304,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_8
| ~ spl10_9 ),
inference(trivial_inequality_removal,[],[f301]) ).
fof(f301,plain,
( sk_c6 != inverse(sk_c6)
| identity != identity
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_8
| ~ spl10_9 ),
inference(superposition,[],[f297,f206]) ).
fof(f206,plain,
( identity = multiply(sk_c6,sk_c6)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_9 ),
inference(backward_demodulation,[],[f169,f199]) ).
fof(f297,plain,
( ! [X3] :
( identity != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) )
| ~ spl10_2
| ~ spl10_4
| ~ spl10_8 ),
inference(forward_demodulation,[],[f99,f199]) ).
fof(f311,plain,
( ~ spl10_15
| ~ spl10_16
| ~ spl10_2
| ~ spl10_4
| ~ spl10_8 ),
inference(avatar_split_clause,[],[f302,f98,f79,f69,f279,f275]) ).
fof(f302,plain,
( sk_c6 != inverse(sk_c2)
| identity != sF8
| ~ spl10_2
| ~ spl10_4
| ~ spl10_8 ),
inference(superposition,[],[f297,f41]) ).
fof(f296,plain,
( ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_9
| ~ spl10_10 ),
inference(avatar_contradiction_clause,[],[f295]) ).
fof(f295,plain,
( $false
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_9
| ~ spl10_10 ),
inference(subsumption_resolution,[],[f294,f231]) ).
fof(f294,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_9
| ~ spl10_10 ),
inference(forward_demodulation,[],[f263,f231]) ).
fof(f263,plain,
( sk_c6 != inverse(inverse(sk_c6))
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_10 ),
inference(trivial_inequality_removal,[],[f259]) ).
fof(f259,plain,
( sk_c6 != inverse(inverse(sk_c6))
| identity != identity
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_10 ),
inference(superposition,[],[f245,f2]) ).
fof(f245,plain,
( ! [X5] :
( identity != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) )
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_10 ),
inference(forward_demodulation,[],[f244,f199]) ).
fof(f244,plain,
( ! [X5] :
( sk_c5 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) )
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_10 ),
inference(forward_demodulation,[],[f243,f165]) ).
fof(f243,plain,
( ! [X5] :
( sk_c5 != multiply(X5,sk_c4)
| sk_c6 != inverse(X5) )
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_10 ),
inference(forward_demodulation,[],[f106,f165]) ).
fof(f282,plain,
( ~ spl10_15
| ~ spl10_16
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_10 ),
inference(avatar_split_clause,[],[f261,f105,f79,f74,f69,f279,f275]) ).
fof(f261,plain,
( sk_c6 != inverse(sk_c2)
| identity != sF8
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_10 ),
inference(superposition,[],[f245,f41]) ).
fof(f241,plain,
( ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| spl10_6
| ~ spl10_9 ),
inference(avatar_contradiction_clause,[],[f240]) ).
fof(f240,plain,
( $false
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| spl10_6
| ~ spl10_9 ),
inference(subsumption_resolution,[],[f239,f165]) ).
fof(f239,plain,
( sk_c6 != sk_c4
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| spl10_6
| ~ spl10_9 ),
inference(forward_demodulation,[],[f89,f232]) ).
fof(f232,plain,
( sk_c6 = sF1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_9 ),
inference(backward_demodulation,[],[f30,f231]) ).
fof(f89,plain,
( sk_c4 != sF1
| spl10_6 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f238,plain,
( spl10_5
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4 ),
inference(avatar_split_clause,[],[f211,f79,f74,f69,f83]) ).
fof(f211,plain,
( sk_c6 = sF9
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4 ),
inference(forward_demodulation,[],[f205,f1]) ).
fof(f205,plain,
( multiply(identity,sk_c6) = sF9
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4 ),
inference(backward_demodulation,[],[f167,f199]) ).
fof(f167,plain,
( multiply(sk_c5,sk_c6) = sF9
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4 ),
inference(backward_demodulation,[],[f44,f165]) ).
fof(f133,plain,
( spl10_12
| spl10_9 ),
inference(avatar_split_clause,[],[f55,f101,f118]) ).
fof(f55,plain,
( sk_c5 = sF7
| sk_c4 = sF2 ),
inference(definition_folding,[],[f27,f40,f32]) ).
fof(f27,axiom,
( sk_c4 = inverse(sk_c3)
| sk_c5 = multiply(sk_c4,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f132,plain,
( spl10_7
| spl10_9 ),
inference(avatar_split_clause,[],[f61,f101,f93]) ).
fof(f61,plain,
( sk_c5 = sF7
| sk_c6 = sF5 ),
inference(definition_folding,[],[f24,f37,f40]) ).
fof(f24,axiom,
( sk_c5 = multiply(sk_c4,sk_c6)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f131,plain,
( spl10_5
| spl10_2 ),
inference(avatar_split_clause,[],[f50,f69,f83]) ).
fof(f50,plain,
( sk_c6 = sF0
| sk_c6 = sF9 ),
inference(definition_folding,[],[f16,f29,f44]) ).
fof(f16,axiom,
( sk_c6 = multiply(sk_c5,sk_c4)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f129,plain,
( spl10_4
| spl10_1 ),
inference(avatar_split_clause,[],[f46,f65,f79]) ).
fof(f46,plain,
( sk_c5 = sF8
| sk_c5 = sF6 ),
inference(definition_folding,[],[f11,f41,f38]) ).
fof(f11,axiom,
( sk_c5 = multiply(sk_c1,sk_c6)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f128,plain,
( spl10_3
| spl10_11 ),
inference(avatar_split_clause,[],[f36,f109,f74]) ).
fof(f36,plain,
( sk_c5 = sF4
| sk_c4 = sF3 ),
inference(definition_folding,[],[f8,f35,f33]) ).
fof(f35,plain,
multiply(sk_c3,sk_c4) = sF4,
introduced(function_definition,[]) ).
fof(f8,axiom,
( multiply(sk_c6,sk_c5) = sk_c4
| sk_c5 = multiply(sk_c3,sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f126,plain,
( spl10_4
| spl10_7 ),
inference(avatar_split_clause,[],[f39,f93,f79]) ).
fof(f39,plain,
( sk_c6 = sF5
| sk_c5 = sF6 ),
inference(definition_folding,[],[f12,f38,f37]) ).
fof(f12,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c5 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f124,plain,
( spl10_5
| spl10_3 ),
inference(avatar_split_clause,[],[f54,f74,f83]) ).
fof(f54,plain,
( sk_c4 = sF3
| sk_c6 = sF9 ),
inference(definition_folding,[],[f4,f33,f44]) ).
fof(f4,axiom,
( sk_c6 = multiply(sk_c5,sk_c4)
| multiply(sk_c6,sk_c5) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f123,plain,
( spl10_6
| spl10_9 ),
inference(avatar_split_clause,[],[f47,f101,f88]) ).
fof(f47,plain,
( sk_c5 = sF7
| sk_c4 = sF1 ),
inference(definition_folding,[],[f25,f30,f40]) ).
fof(f25,axiom,
( sk_c5 = multiply(sk_c4,sk_c6)
| sk_c4 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f115,plain,
( spl10_2
| spl10_7 ),
inference(avatar_split_clause,[],[f51,f93,f69]) ).
fof(f51,plain,
( sk_c6 = sF5
| sk_c6 = sF0 ),
inference(definition_folding,[],[f18,f29,f37]) ).
fof(f18,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f114,plain,
( spl10_6
| spl10_4 ),
inference(avatar_split_clause,[],[f53,f79,f88]) ).
fof(f53,plain,
( sk_c5 = sF6
| sk_c4 = sF1 ),
inference(definition_folding,[],[f13,f38,f30]) ).
fof(f13,axiom,
( sk_c4 = inverse(sk_c6)
| sk_c5 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f107,plain,
( ~ spl10_3
| ~ spl10_5
| spl10_8
| ~ spl10_6
| ~ spl10_9
| spl10_10
| spl10_8 ),
inference(avatar_split_clause,[],[f57,f98,f105,f101,f88,f98,f83,f74]) ).
fof(f57,plain,
! [X3,X4,X5] :
( sk_c5 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4)
| sk_c4 != inverse(X5)
| sk_c5 != sF7
| sk_c4 != sF1
| sk_c5 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3)
| sk_c6 != sF9
| sk_c5 != multiply(X5,sk_c4)
| sk_c4 != sF3 ),
inference(definition_folding,[],[f28,f44,f33,f40,f30]) ).
fof(f28,axiom,
! [X3,X4,X5] :
( sk_c6 != inverse(X3)
| sk_c4 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c4 != inverse(sk_c6)
| sk_c5 != multiply(X4,sk_c6)
| sk_c5 != multiply(sk_c4,sk_c6)
| sk_c5 != multiply(X3,sk_c6)
| multiply(sk_c6,sk_c5) != sk_c4
| sk_c6 != multiply(sk_c5,sk_c4)
| sk_c5 != multiply(X5,sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f96,plain,
( spl10_3
| spl10_7 ),
inference(avatar_split_clause,[],[f63,f93,f74]) ).
fof(f63,plain,
( sk_c6 = sF5
| sk_c4 = sF3 ),
inference(definition_folding,[],[f6,f37,f33]) ).
fof(f6,axiom,
( multiply(sk_c6,sk_c5) = sk_c4
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f91,plain,
( spl10_6
| spl10_2 ),
inference(avatar_split_clause,[],[f31,f69,f88]) ).
fof(f31,plain,
( sk_c6 = sF0
| sk_c4 = sF1 ),
inference(definition_folding,[],[f19,f30,f29]) ).
fof(f19,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c4 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f86,plain,
( spl10_4
| spl10_5 ),
inference(avatar_split_clause,[],[f45,f83,f79]) ).
fof(f45,plain,
( sk_c6 = sF9
| sk_c5 = sF6 ),
inference(definition_folding,[],[f10,f44,f38]) ).
fof(f10,axiom,
( sk_c5 = multiply(sk_c1,sk_c6)
| sk_c6 = multiply(sk_c5,sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f77,plain,
( spl10_1
| spl10_3 ),
inference(avatar_split_clause,[],[f58,f74,f65]) ).
fof(f58,plain,
( sk_c4 = sF3
| sk_c5 = sF8 ),
inference(definition_folding,[],[f5,f33,f41]) ).
fof(f5,axiom,
( sk_c5 = multiply(sk_c2,sk_c6)
| multiply(sk_c6,sk_c5) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f72,plain,
( spl10_1
| spl10_2 ),
inference(avatar_split_clause,[],[f56,f69,f65]) ).
fof(f56,plain,
( sk_c6 = sF0
| sk_c5 = sF8 ),
inference(definition_folding,[],[f17,f41,f29]) ).
fof(f17,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP300-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 22:42:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.49 % (31799)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)
% 0.21/0.51 % (31807)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)
% 0.21/0.56 % (31793)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.56 % (31793)Instruction limit reached!
% 0.21/0.56 % (31793)------------------------------
% 0.21/0.56 % (31793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (31793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (31793)Termination reason: Unknown
% 0.21/0.56 % (31793)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (31793)Memory used [KB]: 5373
% 0.21/0.56 % (31793)Time elapsed: 0.003 s
% 0.21/0.56 % (31793)Instructions burned: 2 (million)
% 0.21/0.56 % (31793)------------------------------
% 0.21/0.56 % (31793)------------------------------
% 0.21/0.56 % (31801)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)
% 0.21/0.56 % (31809)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.58 % (31799)Instruction limit reached!
% 0.21/0.58 % (31799)------------------------------
% 0.21/0.58 % (31799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59 % (31799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59 % (31799)Termination reason: Unknown
% 0.21/0.59 % (31799)Termination phase: Saturation
% 0.21/0.59
% 0.21/0.59 % (31799)Memory used [KB]: 6396
% 0.21/0.59 % (31799)Time elapsed: 0.063 s
% 0.21/0.59 % (31799)Instructions burned: 69 (million)
% 0.21/0.59 % (31799)------------------------------
% 0.21/0.59 % (31799)------------------------------
% 0.21/0.60 % (31809)First to succeed.
% 0.21/0.60 % (31791)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)
% 0.21/0.61 % (31809)Refutation found. Thanks to Tanya!
% 0.21/0.61 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.61 % (31809)------------------------------
% 0.21/0.61 % (31809)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.61 % (31809)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.61 % (31809)Termination reason: Refutation
% 0.21/0.61
% 0.21/0.61 % (31809)Memory used [KB]: 5756
% 0.21/0.61 % (31809)Time elapsed: 0.160 s
% 0.21/0.61 % (31809)Instructions burned: 18 (million)
% 0.21/0.61 % (31809)------------------------------
% 0.21/0.61 % (31809)------------------------------
% 0.21/0.61 % (31784)Success in time 0.241 s
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