TSTP Solution File: GRP257-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP257-1 : TPTP v8.2.0. 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 : n017.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 : Mon May 20 21:07:47 EDT 2024
% Result : Unsatisfiable 0.61s 0.82s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 49
% Syntax : Number of formulae : 179 ( 4 unt; 0 def)
% Number of atoms : 517 ( 210 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 648 ( 310 ~; 317 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1027,plain,
$false,
inference(avatar_sat_refutation,[],[f56,f61,f91,f92,f106,f107,f108,f117,f118,f119,f124,f125,f126,f127,f128,f129,f130,f135,f136,f137,f138,f139,f140,f141,f157,f160,f173,f178,f179,f192,f197,f258,f336,f520,f692,f765,f786,f873,f978,f1024]) ).
fof(f1024,plain,
( spl0_20
| ~ spl0_10
| ~ spl0_11
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f1023,f189,f110,f99,f168]) ).
fof(f168,plain,
( spl0_20
<=> sk_c9 = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f99,plain,
( spl0_10
<=> sk_c8 = multiply(sk_c2,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f110,plain,
( spl0_11
<=> sk_c9 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f189,plain,
( spl0_22
<=> sk_c9 = multiply(sk_c8,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f1023,plain,
( sk_c9 = sk_c8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1022,f101]) ).
fof(f101,plain,
( sk_c8 = multiply(sk_c2,sk_c9)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f1022,plain,
( sk_c9 = multiply(sk_c2,sk_c9)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1016,f190]) ).
fof(f190,plain,
( sk_c9 = multiply(sk_c8,sk_c8)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f1016,plain,
( multiply(sk_c2,sk_c9) = multiply(sk_c8,sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f889,f897]) ).
fof(f897,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f893,f101]) ).
fof(f893,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c2,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f892,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f892,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c2,X0))
| ~ spl0_11 ),
inference(superposition,[],[f3,f882]) ).
fof(f882,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl0_11 ),
inference(superposition,[],[f2,f112]) ).
fof(f112,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f110]) ).
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(f889,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c9,X0))
| ~ spl0_10 ),
inference(superposition,[],[f3,f101]) ).
fof(f978,plain,
( spl0_22
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f890,f132,f121,f189]) ).
fof(f121,plain,
( spl0_12
<=> sk_c8 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f132,plain,
( spl0_13
<=> sk_c8 = multiply(sk_c3,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f890,plain,
( sk_c9 = multiply(sk_c8,sk_c8)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f357,f134]) ).
fof(f134,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f357,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
| ~ spl0_12 ),
inference(forward_demodulation,[],[f356,f1]) ).
fof(f356,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
| ~ spl0_12 ),
inference(superposition,[],[f3,f347]) ).
fof(f347,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl0_12 ),
inference(superposition,[],[f2,f123]) ).
fof(f123,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f873,plain,
( ~ spl0_5
| ~ spl0_4
| ~ spl0_16
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f869,f168,f149,f63,f68]) ).
fof(f68,plain,
( spl0_5
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f63,plain,
( spl0_4
<=> sk_c9 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f149,plain,
( spl0_16
<=> ! [X5] :
( sk_c8 != multiply(X5,sk_c9)
| sk_c8 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f869,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_16
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f862]) ).
fof(f862,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_16
| ~ spl0_20 ),
inference(superposition,[],[f787,f788]) ).
fof(f788,plain,
( sk_c8 = multiply(sk_c5,sk_c8)
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[],[f65,f169]) ).
fof(f169,plain,
( sk_c9 = sk_c8
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f65,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f787,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c8)
| sk_c8 != inverse(X5) )
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f150,f169]) ).
fof(f150,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c9)
| sk_c8 != inverse(X5) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f786,plain,
( ~ spl0_12
| ~ spl0_12
| ~ spl0_13
| spl0_19
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f785,f168,f164,f132,f121,f121]) ).
fof(f164,plain,
( spl0_19
<=> sk_c8 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f785,plain,
( sk_c8 != inverse(sk_c3)
| ~ spl0_12
| ~ spl0_13
| spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f166,f551]) ).
fof(f551,plain,
( identity = sk_c3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20 ),
inference(superposition,[],[f347,f514]) ).
fof(f514,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20 ),
inference(superposition,[],[f357,f489]) ).
fof(f489,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20 ),
inference(superposition,[],[f349,f357]) ).
fof(f349,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c8,X0))
| ~ spl0_13
| ~ spl0_20 ),
inference(superposition,[],[f3,f341]) ).
fof(f341,plain,
( sk_c8 = multiply(sk_c3,sk_c8)
| ~ spl0_13
| ~ spl0_20 ),
inference(forward_demodulation,[],[f134,f169]) ).
fof(f166,plain,
( sk_c8 != inverse(identity)
| spl0_19 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f765,plain,
( ~ spl0_9
| ~ spl0_1
| ~ spl0_14
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f749,f168,f143,f49,f88]) ).
fof(f88,plain,
( spl0_9
<=> sk_c10 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f49,plain,
( spl0_1
<=> multiply(sk_c1,sk_c10) = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f143,plain,
( spl0_14
<=> ! [X3] :
( sk_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f749,plain,
( sk_c10 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_14
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f743]) ).
fof(f743,plain,
( sk_c8 != sk_c8
| sk_c10 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_14
| ~ spl0_20 ),
inference(superposition,[],[f702,f345]) ).
fof(f345,plain,
( multiply(sk_c1,sk_c10) = sk_c8
| ~ spl0_1
| ~ spl0_20 ),
inference(forward_demodulation,[],[f51,f169]) ).
fof(f51,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f702,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) )
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f144,f169]) ).
fof(f144,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f692,plain,
( ~ spl0_20
| ~ spl0_2
| ~ spl0_3
| ~ spl0_20
| spl0_22 ),
inference(avatar_split_clause,[],[f691,f189,f168,f58,f53,f168]) ).
fof(f53,plain,
( spl0_2
<=> sk_c9 = multiply(sk_c4,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f58,plain,
( spl0_3
<=> sk_c10 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f691,plain,
( sk_c9 != sk_c8
| ~ spl0_2
| ~ spl0_3
| ~ spl0_20
| spl0_22 ),
inference(forward_demodulation,[],[f191,f339]) ).
fof(f339,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[],[f338,f169]) ).
fof(f338,plain,
( sk_c9 = multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[],[f275,f55]) ).
fof(f55,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f275,plain,
( multiply(sk_c4,sk_c10) = multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[],[f268,f169]) ).
fof(f268,plain,
( multiply(sk_c4,sk_c10) = multiply(sk_c9,sk_c8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_20 ),
inference(superposition,[],[f217,f260]) ).
fof(f260,plain,
( sk_c10 = multiply(sk_c10,sk_c8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_20 ),
inference(superposition,[],[f230,f169]) ).
fof(f230,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f227,f55]) ).
fof(f227,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f216,f1]) ).
fof(f216,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c4,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f200]) ).
fof(f200,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl0_3 ),
inference(superposition,[],[f2,f60]) ).
fof(f60,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f217,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c10,X0)) = multiply(sk_c9,X0)
| ~ spl0_2 ),
inference(superposition,[],[f3,f55]) ).
fof(f191,plain,
( sk_c9 != multiply(sk_c8,sk_c8)
| spl0_22 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f520,plain,
( ~ spl0_20
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f519,f168,f146,f132,f121,f168]) ).
fof(f146,plain,
( spl0_15
<=> ! [X4] :
( sk_c9 != inverse(X4)
| sk_c8 != multiply(X4,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f519,plain,
( sk_c9 != sk_c8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_20 ),
inference(forward_demodulation,[],[f518,f123]) ).
fof(f518,plain,
( sk_c9 != inverse(sk_c3)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f517]) ).
fof(f517,plain,
( sk_c8 != sk_c8
| sk_c9 != inverse(sk_c3)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_20 ),
inference(forward_demodulation,[],[f515,f169]) ).
fof(f515,plain,
( sk_c9 != sk_c8
| sk_c9 != inverse(sk_c3)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_20 ),
inference(superposition,[],[f147,f489]) ).
fof(f147,plain,
( ! [X4] :
( sk_c8 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f336,plain,
( ~ spl0_20
| ~ spl0_4
| ~ spl0_5
| ~ spl0_15
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f335,f168,f146,f68,f63,f168]) ).
fof(f335,plain,
( sk_c9 != sk_c8
| ~ spl0_4
| ~ spl0_5
| ~ spl0_15
| ~ spl0_20 ),
inference(forward_demodulation,[],[f334,f70]) ).
fof(f70,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f334,plain,
( sk_c9 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_15
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f333]) ).
fof(f333,plain,
( sk_c8 != sk_c8
| sk_c9 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_15
| ~ spl0_20 ),
inference(forward_demodulation,[],[f329,f169]) ).
fof(f329,plain,
( sk_c9 != sk_c8
| sk_c9 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_15
| ~ spl0_20 ),
inference(superposition,[],[f147,f306]) ).
fof(f306,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl0_4
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[],[f305,f228]) ).
fof(f228,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f220,f1]) ).
fof(f220,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f201]) ).
fof(f201,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_5 ),
inference(superposition,[],[f2,f70]) ).
fof(f305,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[],[f295,f169]) ).
fof(f295,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c9,multiply(sk_c5,X0))
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f218,f228]) ).
fof(f218,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c5,multiply(sk_c8,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f65]) ).
fof(f258,plain,
( spl0_20
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f255,f83,f78,f73,f168]) ).
fof(f73,plain,
( spl0_6
<=> sk_c9 = multiply(sk_c8,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f78,plain,
( spl0_7
<=> sk_c7 = multiply(sk_c6,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f83,plain,
( spl0_8
<=> sk_c8 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f255,plain,
( sk_c9 = sk_c8
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f75,f251]) ).
fof(f251,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f229,f80]) ).
fof(f80,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f229,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f221,f1]) ).
fof(f221,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c6,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f202]) ).
fof(f202,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl0_8 ),
inference(superposition,[],[f2,f85]) ).
fof(f85,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f75,plain,
( sk_c9 = multiply(sk_c8,sk_c7)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f197,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f196,f155,f83,f78,f73]) ).
fof(f155,plain,
( spl0_18
<=> ! [X9] :
( sk_c8 != inverse(X9)
| sk_c9 != multiply(sk_c8,multiply(X9,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f196,plain,
( sk_c9 != multiply(sk_c8,sk_c7)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f195]) ).
fof(f195,plain,
( sk_c8 != sk_c8
| sk_c9 != multiply(sk_c8,sk_c7)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[],[f187,f85]) ).
fof(f187,plain,
( sk_c9 != multiply(sk_c8,sk_c7)
| sk_c8 != inverse(sk_c6)
| ~ spl0_7
| ~ spl0_18 ),
inference(superposition,[],[f156,f80]) ).
fof(f156,plain,
( ! [X9] :
( sk_c9 != multiply(sk_c8,multiply(X9,sk_c8))
| sk_c8 != inverse(X9) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f192,plain,
( ~ spl0_19
| ~ spl0_22
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f185,f155,f189,f164]) ).
fof(f185,plain,
( sk_c9 != multiply(sk_c8,sk_c8)
| sk_c8 != inverse(identity)
| ~ spl0_18 ),
inference(superposition,[],[f156,f1]) ).
fof(f179,plain,
( ~ spl0_5
| ~ spl0_4
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f177,f152,f63,f68]) ).
fof(f152,plain,
( spl0_17
<=> ! [X7] :
( sk_c8 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f177,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f175]) ).
fof(f175,plain,
( sk_c9 != sk_c9
| sk_c8 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_17 ),
inference(superposition,[],[f153,f65]) ).
fof(f153,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f178,plain,
( ~ spl0_19
| ~ spl0_20
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f174,f152,f168,f164]) ).
fof(f174,plain,
( sk_c9 != sk_c8
| sk_c8 != inverse(identity)
| ~ spl0_17 ),
inference(superposition,[],[f153,f1]) ).
fof(f173,plain,
( ~ spl0_19
| ~ spl0_20
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f172,f149,f168,f164]) ).
fof(f172,plain,
( sk_c9 != sk_c8
| sk_c8 != inverse(identity)
| ~ spl0_16 ),
inference(superposition,[],[f150,f1]) ).
fof(f160,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f159,f143,f53,f58]) ).
fof(f159,plain,
( sk_c10 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f158]) ).
fof(f158,plain,
( sk_c9 != sk_c9
| sk_c10 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_14 ),
inference(superposition,[],[f144,f55]) ).
fof(f157,plain,
( spl0_14
| spl0_15
| spl0_16
| spl0_14
| spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f47,f155,f152,f143,f149,f146,f143]) ).
fof(f47,plain,
! [X3,X6,X9,X7,X4,X5] :
( sk_c8 != inverse(X9)
| sk_c9 != multiply(sk_c8,multiply(X9,sk_c8))
| sk_c8 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10)
| sk_c8 != multiply(X5,sk_c9)
| sk_c8 != inverse(X5)
| sk_c9 != inverse(X4)
| sk_c8 != multiply(X4,sk_c9)
| sk_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10) ),
inference(equality_resolution,[],[f46]) ).
fof(f46,axiom,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c8 != inverse(X9)
| multiply(X9,sk_c8) != X8
| sk_c9 != multiply(sk_c8,X8)
| sk_c8 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10)
| sk_c8 != multiply(X5,sk_c9)
| sk_c8 != inverse(X5)
| sk_c9 != inverse(X4)
| sk_c8 != multiply(X4,sk_c9)
| sk_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f141,plain,
( spl0_13
| spl0_8 ),
inference(avatar_split_clause,[],[f45,f83,f132]) ).
fof(f45,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f140,plain,
( spl0_13
| spl0_7 ),
inference(avatar_split_clause,[],[f44,f78,f132]) ).
fof(f44,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f139,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f43,f73,f132]) ).
fof(f43,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f138,plain,
( spl0_13
| spl0_5 ),
inference(avatar_split_clause,[],[f42,f68,f132]) ).
fof(f42,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f137,plain,
( spl0_13
| spl0_4 ),
inference(avatar_split_clause,[],[f41,f63,f132]) ).
fof(f41,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f136,plain,
( spl0_13
| spl0_3 ),
inference(avatar_split_clause,[],[f40,f58,f132]) ).
fof(f40,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f135,plain,
( spl0_13
| spl0_2 ),
inference(avatar_split_clause,[],[f39,f53,f132]) ).
fof(f39,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f130,plain,
( spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f38,f83,f121]) ).
fof(f38,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f129,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f37,f78,f121]) ).
fof(f37,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f128,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f36,f73,f121]) ).
fof(f36,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f127,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f35,f68,f121]) ).
fof(f35,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f126,plain,
( spl0_12
| spl0_4 ),
inference(avatar_split_clause,[],[f34,f63,f121]) ).
fof(f34,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f125,plain,
( spl0_12
| spl0_3 ),
inference(avatar_split_clause,[],[f33,f58,f121]) ).
fof(f33,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f124,plain,
( spl0_12
| spl0_2 ),
inference(avatar_split_clause,[],[f32,f53,f121]) ).
fof(f32,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f119,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f31,f83,f110]) ).
fof(f31,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f118,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f30,f78,f110]) ).
fof(f30,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f117,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f29,f73,f110]) ).
fof(f29,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f108,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f24,f83,f99]) ).
fof(f24,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f107,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f23,f78,f99]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f106,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f22,f73,f99]) ).
fof(f22,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f92,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f12,f58,f88]) ).
fof(f12,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f91,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f11,f53,f88]) ).
fof(f11,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f61,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f58,f49]) ).
fof(f5,axiom,
( sk_c10 = inverse(sk_c4)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f56,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f53,f49]) ).
fof(f4,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP257-1 : TPTP v8.2.0. Released v2.5.0.
% 0.11/0.13 % 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
% 0.13/0.34 % Computer : n017.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 : Sun May 19 05:00:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.13/0.35 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/benchmark/theBenchmark.p
% 0.61/0.80 % (27616)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 theBenchmark for (2995ds/34Mi)
% 0.61/0.80 % (27612)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 theBenchmark for (2995ds/34Mi)
% 0.61/0.80 % (27617)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.61/0.80 % (27613)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 theBenchmark for (2995ds/51Mi)
% 0.61/0.80 % (27619)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.61/0.80 % (27618)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 theBenchmark for (2995ds/83Mi)
% 0.61/0.80 % (27616)Refutation not found, incomplete strategy% (27616)------------------------------
% 0.61/0.80 % (27616)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80 % (27616)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (27616)Memory used [KB]: 1113
% 0.61/0.80 % (27616)Time elapsed: 0.003 s
% 0.61/0.80 % (27616)Instructions burned: 5 (million)
% 0.61/0.80 % (27616)------------------------------
% 0.61/0.80 % (27616)------------------------------
% 0.61/0.80 % (27612)Refutation not found, incomplete strategy% (27612)------------------------------
% 0.61/0.80 % (27612)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80 % (27612)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (27612)Memory used [KB]: 1032
% 0.61/0.80 % (27619)Refutation not found, incomplete strategy% (27619)------------------------------
% 0.61/0.80 % (27619)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80 % (27612)Time elapsed: 0.004 s
% 0.61/0.80 % (27619)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80 % (27612)Instructions burned: 5 (million)
% 0.61/0.80
% 0.61/0.80 % (27619)Memory used [KB]: 1034
% 0.61/0.80 % (27619)Time elapsed: 0.003 s
% 0.61/0.80 % (27619)Instructions burned: 4 (million)
% 0.61/0.80 % (27612)------------------------------
% 0.61/0.80 % (27612)------------------------------
% 0.61/0.80 % (27619)------------------------------
% 0.61/0.80 % (27619)------------------------------
% 0.61/0.80 % (27615)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.61/0.80 % (27615)Refutation not found, incomplete strategy% (27615)------------------------------
% 0.61/0.80 % (27615)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80 % (27615)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (27615)Memory used [KB]: 1015
% 0.61/0.80 % (27615)Time elapsed: 0.002 s
% 0.61/0.80 % (27615)Instructions burned: 4 (million)
% 0.61/0.80 % (27615)------------------------------
% 0.61/0.80 % (27615)------------------------------
% 0.61/0.80 % (27614)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.61/0.80 % (27620)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 theBenchmark for (2995ds/55Mi)
% 0.61/0.81 % (27621)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 theBenchmark for (2995ds/50Mi)
% 0.61/0.81 % (27623)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 theBenchmark for (2995ds/52Mi)
% 0.61/0.81 % (27621)Refutation not found, incomplete strategy% (27621)------------------------------
% 0.61/0.81 % (27621)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81 % (27621)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81
% 0.61/0.81 % (27621)Memory used [KB]: 1007
% 0.61/0.81 % (27621)Time elapsed: 0.003 s
% 0.61/0.81 % (27621)Instructions burned: 7 (million)
% 0.61/0.81 % (27621)------------------------------
% 0.61/0.81 % (27621)------------------------------
% 0.61/0.81 % (27613)First to succeed.
% 0.61/0.81 % (27624)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 theBenchmark for (2995ds/518Mi)
% 0.61/0.82 % (27613)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27611"
% 0.61/0.82 % (27613)Refutation found. Thanks to Tanya!
% 0.61/0.82 % SZS status Unsatisfiable for theBenchmark
% 0.61/0.82 % SZS output start Proof for theBenchmark
% See solution above
% 0.61/0.82 % (27613)------------------------------
% 0.61/0.82 % (27613)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82 % (27613)Termination reason: Refutation
% 0.61/0.82
% 0.61/0.82 % (27613)Memory used [KB]: 1334
% 0.61/0.82 % (27613)Time elapsed: 0.021 s
% 0.61/0.82 % (27613)Instructions burned: 36 (million)
% 0.61/0.82 % (27611)Success in time 0.457 s
% 0.61/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------