TSTP Solution File: GRP334-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP334-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n028.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 : Sun May 5 05:47:25 EDT 2024
% Result : Unsatisfiable 0.59s 0.77s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 41
% Syntax : Number of formulae : 167 ( 7 unt; 0 def)
% Number of atoms : 485 ( 191 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 600 ( 282 ~; 300 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1051,plain,
$false,
inference(avatar_sat_refutation,[],[f35,f40,f45,f50,f55,f60,f61,f62,f63,f64,f70,f71,f72,f73,f79,f80,f81,f82,f94,f110,f115,f120,f127,f141,f165,f171,f178,f227,f268,f437,f443,f607,f614,f1007,f1048]) ).
fof(f1048,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_15
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1047]) ).
fof(f1047,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_15
| ~ spl0_17
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f1044]) ).
fof(f1044,plain,
( sk_c6 != sk_c6
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_15
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f275,f1018]) ).
fof(f1018,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f59,f1008]) ).
fof(f1008,plain,
( sk_c6 = sk_c1
| ~ spl0_1
| ~ spl0_7
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f139,f650]) ).
fof(f650,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_7
| ~ spl0_17 ),
inference(superposition,[],[f635,f180]) ).
fof(f180,plain,
( identity = multiply(sk_c6,sk_c1)
| ~ spl0_7 ),
inference(superposition,[],[f2,f59]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.k9M1PysGU3/Vampire---4.8_16259',left_inverse) ).
fof(f635,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_1
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f632,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.k9M1PysGU3/Vampire---4.8_16259',left_identity) ).
fof(f632,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(identity,X0))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_17 ),
inference(superposition,[],[f3,f630]) ).
fof(f630,plain,
( identity = multiply(sk_c6,identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f625,f180]) ).
fof(f625,plain,
( identity = multiply(sk_c6,multiply(sk_c6,sk_c1))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_17 ),
inference(superposition,[],[f484,f125]) ).
fof(f125,plain,
( sk_c6 = sk_c7
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl0_17
<=> sk_c6 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f484,plain,
( identity = multiply(sk_c6,multiply(sk_c7,sk_c1))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f188,f461]) ).
fof(f461,plain,
( multiply(sk_c7,sk_c1) = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f182,f180]) ).
fof(f182,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c6,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f30]) ).
fof(f30,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f28,plain,
( spl0_1
<=> sk_c7 = multiply(sk_c1,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f188,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f187,f1]) ).
fof(f187,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c1,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f180]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.k9M1PysGU3/Vampire---4.8_16259',associativity) ).
fof(f139,plain,
( identity = sk_c6
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f138,plain,
( spl0_19
<=> identity = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f59,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f57,plain,
( spl0_7
<=> sk_c6 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f275,plain,
( sk_c6 != inverse(sk_c6)
| spl0_2
| ~ spl0_15 ),
inference(forward_demodulation,[],[f33,f108]) ).
fof(f108,plain,
( sk_c6 = sk_c5
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl0_15
<=> sk_c6 = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f33,plain,
( sk_c5 != inverse(sk_c6)
| spl0_2 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f32,plain,
( spl0_2
<=> sk_c5 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1007,plain,
( spl0_19
| ~ spl0_1
| ~ spl0_7
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f1002,f124,f57,f28,f138]) ).
fof(f1002,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_7
| ~ spl0_17 ),
inference(superposition,[],[f2,f903]) ).
fof(f903,plain,
( ! [X0] : multiply(inverse(sk_c6),X0) = X0
| ~ spl0_1
| ~ spl0_7
| ~ spl0_17 ),
inference(superposition,[],[f154,f635]) ).
fof(f154,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f144,f1]) ).
fof(f144,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f614,plain,
( ~ spl0_15
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| spl0_16 ),
inference(avatar_split_clause,[],[f613,f117,f107,f75,f66,f107]) ).
fof(f66,plain,
( spl0_8
<=> sk_c6 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f75,plain,
( spl0_9
<=> sk_c6 = multiply(sk_c2,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f117,plain,
( spl0_16
<=> sk_c5 = multiply(sk_c6,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f613,plain,
( sk_c6 != sk_c5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| spl0_16 ),
inference(forward_demodulation,[],[f119,f447]) ).
fof(f447,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15 ),
inference(superposition,[],[f190,f228]) ).
fof(f228,plain,
( sk_c6 = multiply(sk_c2,sk_c6)
| ~ spl0_9
| ~ spl0_15 ),
inference(superposition,[],[f77,f108]) ).
fof(f77,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f190,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f189,f1]) ).
fof(f189,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f181]) ).
fof(f181,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl0_8 ),
inference(superposition,[],[f2,f68]) ).
fof(f68,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f119,plain,
( sk_c5 != multiply(sk_c6,sk_c6)
| spl0_16 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f607,plain,
( spl0_17
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f606,f117,f107,f57,f124]) ).
fof(f606,plain,
( sk_c6 = sk_c7
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f582,f108]) ).
fof(f582,plain,
( sk_c7 = sk_c5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f4,f535]) ).
fof(f535,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f534,f188]) ).
fof(f534,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c1,X0))
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f519,f108]) ).
fof(f519,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c1,X0))
| ~ spl0_7
| ~ spl0_16 ),
inference(superposition,[],[f221,f188]) ).
fof(f221,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c6,X0))
| ~ spl0_16 ),
inference(superposition,[],[f3,f118]) ).
fof(f118,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f4,axiom,
multiply(sk_c6,sk_c7) = sk_c5,
file('/export/starexec/sandbox/tmp/tmp.k9M1PysGU3/Vampire---4.8_16259',prove_this_1) ).
fof(f443,plain,
( spl0_17
| ~ spl0_15
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f401,f138,f107,f124]) ).
fof(f401,plain,
( sk_c6 = sk_c7
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f384,f108]) ).
fof(f384,plain,
( sk_c7 = sk_c5
| ~ spl0_19 ),
inference(superposition,[],[f359,f4]) ).
fof(f359,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_19 ),
inference(superposition,[],[f1,f139]) ).
fof(f437,plain,
( spl0_3
| ~ spl0_7
| ~ spl0_15
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f436]) ).
fof(f436,plain,
( $false
| spl0_3
| ~ spl0_7
| ~ spl0_15
| ~ spl0_17
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f434]) ).
fof(f434,plain,
( sk_c6 != sk_c6
| spl0_3
| ~ spl0_7
| ~ spl0_15
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f273,f413]) ).
fof(f413,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl0_7
| ~ spl0_19 ),
inference(superposition,[],[f59,f402]) ).
fof(f402,plain,
( sk_c6 = sk_c1
| ~ spl0_7
| ~ spl0_19 ),
inference(forward_demodulation,[],[f385,f139]) ).
fof(f385,plain,
( identity = sk_c1
| ~ spl0_7
| ~ spl0_19 ),
inference(superposition,[],[f359,f180]) ).
fof(f273,plain,
( sk_c6 != inverse(sk_c6)
| spl0_3
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f270,f108]) ).
fof(f270,plain,
( sk_c5 != inverse(sk_c6)
| spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[],[f38,f125]) ).
fof(f38,plain,
( sk_c5 != inverse(sk_c7)
| spl0_3 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl0_3
<=> sk_c5 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f268,plain,
( ~ spl0_15
| ~ spl0_2
| spl0_14
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f267,f138,f103,f32,f107]) ).
fof(f103,plain,
( spl0_14
<=> sk_c6 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f267,plain,
( sk_c6 != sk_c5
| ~ spl0_2
| spl0_14
| ~ spl0_19 ),
inference(superposition,[],[f253,f34]) ).
fof(f34,plain,
( sk_c5 = inverse(sk_c6)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f253,plain,
( sk_c6 != inverse(sk_c6)
| spl0_14
| ~ spl0_19 ),
inference(superposition,[],[f105,f139]) ).
fof(f105,plain,
( sk_c6 != inverse(identity)
| spl0_14 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f227,plain,
( spl0_15
| ~ spl0_1
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f223,f57,f28,f107]) ).
fof(f223,plain,
( sk_c6 = sk_c5
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f4,f214]) ).
fof(f214,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f188,f30]) ).
fof(f178,plain,
( ~ spl0_15
| ~ spl0_2
| ~ spl0_15
| spl0_18 ),
inference(avatar_split_clause,[],[f177,f134,f107,f32,f107]) ).
fof(f134,plain,
( spl0_18
<=> sk_c6 = inverse(inverse(sk_c5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f177,plain,
( sk_c6 != sk_c5
| ~ spl0_2
| ~ spl0_15
| spl0_18 ),
inference(superposition,[],[f174,f34]) ).
fof(f174,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl0_2
| ~ spl0_15
| spl0_18 ),
inference(forward_demodulation,[],[f173,f108]) ).
fof(f173,plain,
( sk_c6 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_15
| spl0_18 ),
inference(forward_demodulation,[],[f172,f34]) ).
fof(f172,plain,
( sk_c6 != inverse(inverse(sk_c6))
| ~ spl0_15
| spl0_18 ),
inference(forward_demodulation,[],[f136,f108]) ).
fof(f136,plain,
( sk_c6 != inverse(inverse(sk_c5))
| spl0_18 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f171,plain,
( spl0_19
| ~ spl0_3
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f170,f107,f37,f138]) ).
fof(f170,plain,
( identity = sk_c6
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[],[f169,f108]) ).
fof(f169,plain,
( identity = sk_c5
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[],[f166,f4]) ).
fof(f166,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl0_3
| ~ spl0_15 ),
inference(superposition,[],[f130,f108]) ).
fof(f130,plain,
( identity = multiply(sk_c5,sk_c7)
| ~ spl0_3 ),
inference(superposition,[],[f2,f39]) ).
fof(f39,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f165,plain,
( spl0_15
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f162,f52,f47,f42,f107]) ).
fof(f42,plain,
( spl0_4
<=> sk_c5 = multiply(sk_c6,sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f47,plain,
( spl0_5
<=> sk_c4 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f52,plain,
( spl0_6
<=> sk_c6 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f162,plain,
( sk_c6 = sk_c5
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f44,f158]) ).
fof(f158,plain,
( sk_c6 = multiply(sk_c6,sk_c4)
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f155,f49]) ).
fof(f49,plain,
( sk_c4 = multiply(sk_c3,sk_c6)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f155,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f147,f1]) ).
fof(f147,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c3,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f131]) ).
fof(f131,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl0_6 ),
inference(superposition,[],[f2,f54]) ).
fof(f54,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f44,plain,
( sk_c5 = multiply(sk_c6,sk_c4)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f141,plain,
( ~ spl0_18
| ~ spl0_19
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f132,f89,f138,f134]) ).
fof(f89,plain,
( spl0_11
<=> ! [X4] :
( sk_c6 != multiply(X4,sk_c5)
| sk_c6 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f132,plain,
( identity != sk_c6
| sk_c6 != inverse(inverse(sk_c5))
| ~ spl0_11 ),
inference(superposition,[],[f90,f2]) ).
fof(f90,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c5)
| sk_c6 != inverse(X4) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f127,plain,
( ~ spl0_14
| ~ spl0_17
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f122,f86,f124,f103]) ).
fof(f86,plain,
( spl0_10
<=> ! [X3] :
( sk_c6 != inverse(X3)
| sk_c7 != multiply(X3,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f122,plain,
( sk_c6 != sk_c7
| sk_c6 != inverse(identity)
| ~ spl0_10 ),
inference(superposition,[],[f87,f1]) ).
fof(f87,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f120,plain,
( ~ spl0_14
| ~ spl0_16
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f112,f92,f117,f103]) ).
fof(f92,plain,
( spl0_12
<=> ! [X6] :
( sk_c6 != inverse(X6)
| sk_c5 != multiply(sk_c6,multiply(X6,sk_c6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f112,plain,
( sk_c5 != multiply(sk_c6,sk_c6)
| sk_c6 != inverse(identity)
| ~ spl0_12 ),
inference(superposition,[],[f93,f1]) ).
fof(f93,plain,
( ! [X6] :
( sk_c5 != multiply(sk_c6,multiply(X6,sk_c6))
| sk_c6 != inverse(X6) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f115,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f114,f92,f52,f47,f42]) ).
fof(f114,plain,
( sk_c5 != multiply(sk_c6,sk_c4)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f113]) ).
fof(f113,plain,
( sk_c6 != sk_c6
| sk_c5 != multiply(sk_c6,sk_c4)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f111,f54]) ).
fof(f111,plain,
( sk_c5 != multiply(sk_c6,sk_c4)
| sk_c6 != inverse(sk_c3)
| ~ spl0_5
| ~ spl0_12 ),
inference(superposition,[],[f93,f49]) ).
fof(f110,plain,
( ~ spl0_14
| ~ spl0_15
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f101,f89,f107,f103]) ).
fof(f101,plain,
( sk_c6 != sk_c5
| sk_c6 != inverse(identity)
| ~ spl0_11 ),
inference(superposition,[],[f90,f1]) ).
fof(f94,plain,
( spl0_10
| spl0_11
| ~ spl0_2
| ~ spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f84,f92,f37,f32,f89,f86]) ).
fof(f84,plain,
! [X3,X6,X4] :
( sk_c6 != inverse(X6)
| sk_c5 != multiply(sk_c6,multiply(X6,sk_c6))
| sk_c5 != inverse(sk_c7)
| sk_c5 != inverse(sk_c6)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != inverse(X4)
| sk_c6 != inverse(X3)
| sk_c7 != multiply(X3,sk_c6) ),
inference(trivial_inequality_removal,[],[f83]) ).
fof(f83,plain,
! [X3,X6,X4] :
( sk_c5 != sk_c5
| sk_c6 != inverse(X6)
| sk_c5 != multiply(sk_c6,multiply(X6,sk_c6))
| sk_c5 != inverse(sk_c7)
| sk_c5 != inverse(sk_c6)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != inverse(X4)
| sk_c6 != inverse(X3)
| sk_c7 != multiply(X3,sk_c6) ),
inference(forward_demodulation,[],[f26,f4]) ).
fof(f26,plain,
! [X3,X6,X4] :
( sk_c6 != inverse(X6)
| sk_c5 != multiply(sk_c6,multiply(X6,sk_c6))
| sk_c5 != inverse(sk_c7)
| sk_c5 != inverse(sk_c6)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != inverse(X4)
| sk_c6 != inverse(X3)
| sk_c7 != multiply(X3,sk_c6)
| multiply(sk_c6,sk_c7) != sk_c5 ),
inference(equality_resolution,[],[f25]) ).
fof(f25,axiom,
! [X3,X6,X4,X5] :
( sk_c6 != inverse(X6)
| multiply(X6,sk_c6) != X5
| sk_c5 != multiply(sk_c6,X5)
| sk_c5 != inverse(sk_c7)
| sk_c5 != inverse(sk_c6)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != inverse(X4)
| sk_c6 != inverse(X3)
| sk_c7 != multiply(X3,sk_c6)
| multiply(sk_c6,sk_c7) != sk_c5 ),
file('/export/starexec/sandbox/tmp/tmp.k9M1PysGU3/Vampire---4.8_16259',prove_this_22) ).
fof(f82,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f24,f52,f75]) ).
fof(f24,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/tmp/tmp.k9M1PysGU3/Vampire---4.8_16259',prove_this_21) ).
fof(f81,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f23,f47,f75]) ).
fof(f23,axiom,
( sk_c4 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/tmp/tmp.k9M1PysGU3/Vampire---4.8_16259',prove_this_20) ).
fof(f80,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f22,f42,f75]) ).
fof(f22,axiom,
( sk_c5 = multiply(sk_c6,sk_c4)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/tmp/tmp.k9M1PysGU3/Vampire---4.8_16259',prove_this_19) ).
fof(f79,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f21,f37,f75]) ).
fof(f21,axiom,
( sk_c5 = inverse(sk_c7)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/tmp/tmp.k9M1PysGU3/Vampire---4.8_16259',prove_this_18) ).
fof(f73,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f19,f52,f66]) ).
fof(f19,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.k9M1PysGU3/Vampire---4.8_16259',prove_this_16) ).
fof(f72,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f18,f47,f66]) ).
fof(f18,axiom,
( sk_c4 = multiply(sk_c3,sk_c6)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.k9M1PysGU3/Vampire---4.8_16259',prove_this_15) ).
fof(f71,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f17,f42,f66]) ).
fof(f17,axiom,
( sk_c5 = multiply(sk_c6,sk_c4)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.k9M1PysGU3/Vampire---4.8_16259',prove_this_14) ).
fof(f70,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f16,f37,f66]) ).
fof(f16,axiom,
( sk_c5 = inverse(sk_c7)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.k9M1PysGU3/Vampire---4.8_16259',prove_this_13) ).
fof(f64,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f52,f57]) ).
fof(f14,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.k9M1PysGU3/Vampire---4.8_16259',prove_this_11) ).
fof(f63,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f13,f47,f57]) ).
fof(f13,axiom,
( sk_c4 = multiply(sk_c3,sk_c6)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.k9M1PysGU3/Vampire---4.8_16259',prove_this_10) ).
fof(f62,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f12,f42,f57]) ).
fof(f12,axiom,
( sk_c5 = multiply(sk_c6,sk_c4)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.k9M1PysGU3/Vampire---4.8_16259',prove_this_9) ).
fof(f61,plain,
( spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f11,f37,f57]) ).
fof(f11,axiom,
( sk_c5 = inverse(sk_c7)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.k9M1PysGU3/Vampire---4.8_16259',prove_this_8) ).
fof(f60,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f10,f32,f57]) ).
fof(f10,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.k9M1PysGU3/Vampire---4.8_16259',prove_this_7) ).
fof(f55,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f9,f52,f28]) ).
fof(f9,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.k9M1PysGU3/Vampire---4.8_16259',prove_this_6) ).
fof(f50,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f8,f47,f28]) ).
fof(f8,axiom,
( sk_c4 = multiply(sk_c3,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.k9M1PysGU3/Vampire---4.8_16259',prove_this_5) ).
fof(f45,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f7,f42,f28]) ).
fof(f7,axiom,
( sk_c5 = multiply(sk_c6,sk_c4)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.k9M1PysGU3/Vampire---4.8_16259',prove_this_4) ).
fof(f40,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f6,f37,f28]) ).
fof(f6,axiom,
( sk_c5 = inverse(sk_c7)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.k9M1PysGU3/Vampire---4.8_16259',prove_this_3) ).
fof(f35,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f5,f32,f28]) ).
fof(f5,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.k9M1PysGU3/Vampire---4.8_16259',prove_this_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP334-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 3 20:44:07 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.35 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.12/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.k9M1PysGU3/Vampire---4.8_16259
% 0.56/0.75 % (16373)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.75 % (16376)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.75 % (16377)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.75 % (16378)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.75 % (16375)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75 % (16374)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.56/0.75 % (16379)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.56/0.75 % (16380)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.56/0.75 % (16373)Refutation not found, incomplete strategy% (16373)------------------------------
% 0.56/0.75 % (16373)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (16373)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (16373)Memory used [KB]: 993
% 0.56/0.75 % (16373)Time elapsed: 0.002 s
% 0.56/0.75 % (16373)Instructions burned: 3 (million)
% 0.56/0.75 % (16377)Refutation not found, incomplete strategy% (16377)------------------------------
% 0.56/0.75 % (16377)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (16377)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (16380)Refutation not found, incomplete strategy% (16380)------------------------------
% 0.56/0.75 % (16380)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (16380)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (16380)Memory used [KB]: 978
% 0.56/0.75 % (16380)Time elapsed: 0.003 s
% 0.56/0.75 % (16380)Instructions burned: 3 (million)
% 0.56/0.75 % (16377)Memory used [KB]: 993
% 0.56/0.75 % (16377)Time elapsed: 0.003 s
% 0.56/0.75 % (16377)Instructions burned: 4 (million)
% 0.56/0.75 % (16373)------------------------------
% 0.56/0.75 % (16373)------------------------------
% 0.56/0.75 % (16376)Refutation not found, incomplete strategy% (16376)------------------------------
% 0.56/0.75 % (16376)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (16376)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (16380)------------------------------
% 0.56/0.75 % (16380)------------------------------
% 0.56/0.75 % (16376)Memory used [KB]: 986
% 0.56/0.75 % (16376)Time elapsed: 0.003 s
% 0.56/0.75 % (16376)Instructions burned: 4 (million)
% 0.56/0.75 % (16377)------------------------------
% 0.56/0.75 % (16377)------------------------------
% 0.56/0.75 % (16376)------------------------------
% 0.56/0.75 % (16376)------------------------------
% 0.56/0.75 % (16383)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.56/0.75 % (16382)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.56/0.75 % (16381)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.56/0.76 % (16384)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.56/0.76 % (16382)Refutation not found, incomplete strategy% (16382)------------------------------
% 0.56/0.76 % (16382)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (16382)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (16382)Memory used [KB]: 989
% 0.56/0.76 % (16382)Time elapsed: 0.003 s
% 0.56/0.76 % (16382)Instructions burned: 4 (million)
% 0.56/0.76 % (16382)------------------------------
% 0.56/0.76 % (16382)------------------------------
% 0.59/0.76 % (16385)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.59/0.76 % (16374)First to succeed.
% 0.59/0.77 % (16374)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16372"
% 0.59/0.77 % (16374)Refutation found. Thanks to Tanya!
% 0.59/0.77 % SZS status Unsatisfiable for Vampire---4
% 0.59/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.77 % (16374)------------------------------
% 0.59/0.77 % (16374)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (16374)Termination reason: Refutation
% 0.59/0.77
% 0.59/0.77 % (16374)Memory used [KB]: 1243
% 0.59/0.77 % (16374)Time elapsed: 0.018 s
% 0.59/0.77 % (16374)Instructions burned: 31 (million)
% 0.59/0.77 % (16372)Success in time 0.415 s
% 0.59/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------