TSTP Solution File: GRP245-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP245-1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n032.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 05:47:03 EDT 2024
% Result : Unsatisfiable 0.47s 0.69s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 61
% Syntax : Number of formulae : 226 ( 4 unt; 0 def)
% Number of atoms : 689 ( 256 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 876 ( 413 ~; 442 |; 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 : 59 ( 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1048,plain,
$false,
inference(avatar_sat_refutation,[],[f56,f61,f66,f71,f76,f81,f86,f91,f92,f93,f94,f95,f96,f97,f104,f105,f106,f107,f108,f115,f116,f117,f118,f119,f124,f125,f126,f127,f128,f129,f135,f136,f137,f138,f139,f140,f157,f175,f190,f196,f221,f357,f449,f605,f627,f642,f722,f777,f805,f836,f842,f1045]) ).
fof(f1045,plain,
( spl0_21
| ~ spl0_1
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f1044,f215,f132,f121,f88,f49,f172]) ).
fof(f172,plain,
( spl0_21
<=> sk_c9 = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f49,plain,
( spl0_1
<=> multiply(sk_c1,sk_c10) = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f88,plain,
( spl0_9
<=> sk_c10 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f121,plain,
( spl0_12
<=> sk_c10 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f132,plain,
( spl0_13
<=> sk_c10 = multiply(sk_c3,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f215,plain,
( spl0_27
<=> sk_c9 = multiply(sk_c9,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f1044,plain,
( sk_c9 = sk_c8
| ~ spl0_1
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1036,f996]) ).
fof(f996,plain,
( sk_c9 = multiply(sk_c3,sk_c10)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f979,f994]) ).
fof(f994,plain,
( sk_c10 = multiply(sk_c9,sk_c10)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f992,f683]) ).
fof(f683,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f677,f51]) ).
fof(f51,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f677,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c1,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f676,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',left_identity) ).
fof(f676,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c1,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f616]) ).
fof(f616,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl0_9 ),
inference(superposition,[],[f2,f90]) ).
fof(f90,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',associativity) ).
fof(f992,plain,
( multiply(sk_c10,sk_c9) = multiply(sk_c9,sk_c10)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f682,f979]) ).
fof(f682,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c3,X0)) = X0
| ~ spl0_12 ),
inference(forward_demodulation,[],[f681,f1]) ).
fof(f681,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c3,X0))
| ~ spl0_12 ),
inference(superposition,[],[f3,f622]) ).
fof(f622,plain,
( identity = multiply(sk_c10,sk_c3)
| ~ spl0_12 ),
inference(superposition,[],[f2,f123]) ).
fof(f123,plain,
( sk_c10 = inverse(sk_c3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f979,plain,
( sk_c9 = multiply(sk_c3,multiply(sk_c9,sk_c10))
| ~ spl0_1
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f974,f806]) ).
fof(f806,plain,
( multiply(sk_c9,sk_c10) = multiply(sk_c1,sk_c9)
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f625,f696]) ).
fof(f696,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f682,f134]) ).
fof(f134,plain,
( sk_c10 = multiply(sk_c3,sk_c9)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f625,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c1,multiply(sk_c10,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f51]) ).
fof(f974,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c1,X0)) = X0
| ~ spl0_1
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f972,f677]) ).
fof(f972,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c1,X0)) = multiply(sk_c3,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f632,f730]) ).
fof(f730,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c9,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f625,f677]) ).
fof(f632,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c3,multiply(sk_c9,X0))
| ~ spl0_13 ),
inference(superposition,[],[f3,f134]) ).
fof(f1036,plain,
( sk_c8 = multiply(sk_c3,sk_c10)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_27 ),
inference(superposition,[],[f1008,f858]) ).
fof(f858,plain,
( sk_c10 = multiply(sk_c10,sk_c8)
| ~ spl0_13
| ~ spl0_27 ),
inference(forward_demodulation,[],[f850,f134]) ).
fof(f850,plain,
( multiply(sk_c3,sk_c9) = multiply(sk_c10,sk_c8)
| ~ spl0_13
| ~ spl0_27 ),
inference(superposition,[],[f632,f216]) ).
fof(f216,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f1008,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c10,X0)) = X0
| ~ spl0_1
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f974,f980]) ).
fof(f980,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c1,X0)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f682,f974]) ).
fof(f842,plain,
( spl0_27
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f840,f110,f99,f215]) ).
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(f840,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f680,f101]) ).
fof(f101,plain,
( sk_c8 = multiply(sk_c2,sk_c9)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f680,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c2,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f679,f1]) ).
fof(f679,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c2,X0))
| ~ spl0_11 ),
inference(superposition,[],[f3,f618]) ).
fof(f618,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(f836,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f823,f149,f132,f121]) ).
fof(f149,plain,
( spl0_16
<=> ! [X5] :
( sk_c10 != multiply(X5,sk_c9)
| sk_c10 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f823,plain,
( sk_c10 != inverse(sk_c3)
| ~ spl0_13
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f822]) ).
fof(f822,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c3)
| ~ spl0_13
| ~ spl0_16 ),
inference(superposition,[],[f150,f134]) ).
fof(f150,plain,
( ! [X5] :
( sk_c10 != multiply(X5,sk_c9)
| sk_c10 != inverse(X5) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f805,plain,
( ~ spl0_11
| ~ spl0_10
| ~ spl0_17
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f801,f172,f152,f99,f110]) ).
fof(f152,plain,
( spl0_17
<=> ! [X7] :
( sk_c9 != multiply(X7,sk_c8)
| sk_c9 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f801,plain,
( sk_c9 != inverse(sk_c2)
| ~ spl0_10
| ~ spl0_17
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f799]) ).
fof(f799,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c2)
| ~ spl0_10
| ~ spl0_17
| ~ spl0_21 ),
inference(superposition,[],[f778,f615]) ).
fof(f615,plain,
( sk_c9 = multiply(sk_c2,sk_c9)
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[],[f101,f173]) ).
fof(f173,plain,
( sk_c9 = sk_c8
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f778,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c9)
| sk_c9 != inverse(X7) )
| ~ spl0_17
| ~ spl0_21 ),
inference(forward_demodulation,[],[f153,f173]) ).
fof(f153,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c8)
| sk_c9 != inverse(X7) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f777,plain,
( ~ spl0_10
| ~ spl0_11
| ~ spl0_18
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f776]) ).
fof(f776,plain,
( $false
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f775]) ).
fof(f775,plain,
( sk_c9 != sk_c9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18
| ~ spl0_21 ),
inference(superposition,[],[f774,f615]) ).
fof(f774,plain,
( sk_c9 != multiply(sk_c2,sk_c9)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f773]) ).
fof(f773,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c2,sk_c9)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18
| ~ spl0_21 ),
inference(forward_demodulation,[],[f770,f692]) ).
fof(f692,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_21 ),
inference(superposition,[],[f680,f615]) ).
fof(f770,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| sk_c9 != multiply(sk_c2,sk_c9)
| ~ spl0_11
| ~ spl0_18
| ~ spl0_21 ),
inference(superposition,[],[f723,f112]) ).
fof(f723,plain,
( ! [X8] :
( sk_c9 != multiply(inverse(X8),sk_c9)
| sk_c9 != multiply(X8,inverse(X8)) )
| ~ spl0_18
| ~ spl0_21 ),
inference(forward_demodulation,[],[f156,f173]) ).
fof(f156,plain,
( ! [X8] :
( sk_c9 != multiply(inverse(X8),sk_c8)
| sk_c9 != multiply(X8,inverse(X8)) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f155,plain,
( spl0_18
<=> ! [X8] :
( sk_c9 != multiply(inverse(X8),sk_c8)
| sk_c9 != multiply(X8,inverse(X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f722,plain,
( ~ spl0_11
| ~ spl0_10
| ~ spl0_15
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f717,f172,f146,f99,f110]) ).
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(f717,plain,
( sk_c9 != inverse(sk_c2)
| ~ spl0_10
| ~ spl0_15
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f715]) ).
fof(f715,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c2)
| ~ spl0_10
| ~ spl0_15
| ~ spl0_21 ),
inference(superposition,[],[f648,f615]) ).
fof(f648,plain,
( ! [X4] :
( sk_c9 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) )
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f147,f173]) ).
fof(f147,plain,
( ! [X4] :
( sk_c8 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f642,plain,
( ~ spl0_21
| ~ spl0_4
| ~ spl0_5
| ~ spl0_21
| spl0_27 ),
inference(avatar_split_clause,[],[f639,f215,f172,f68,f63,f172]) ).
fof(f63,plain,
( spl0_4
<=> sk_c9 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f68,plain,
( spl0_5
<=> sk_c9 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f639,plain,
( sk_c9 != sk_c8
| ~ spl0_4
| ~ spl0_5
| ~ spl0_21
| spl0_27 ),
inference(superposition,[],[f629,f302]) ).
fof(f302,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f293,f70]) ).
fof(f70,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f293,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c5,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f280,f1]) ).
fof(f280,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c5,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f225]) ).
fof(f225,plain,
( identity = multiply(sk_c9,sk_c5)
| ~ spl0_4 ),
inference(superposition,[],[f2,f65]) ).
fof(f65,plain,
( sk_c9 = inverse(sk_c5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f629,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl0_21
| spl0_27 ),
inference(forward_demodulation,[],[f217,f173]) ).
fof(f217,plain,
( sk_c9 != multiply(sk_c9,sk_c8)
| spl0_27 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f627,plain,
( ~ spl0_9
| ~ spl0_1
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f626,f143,f49,f88]) ).
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(f626,plain,
( sk_c10 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f624]) ).
fof(f624,plain,
( sk_c9 != sk_c9
| sk_c10 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_14 ),
inference(superposition,[],[f144,f51]) ).
fof(f144,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f605,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f604]) ).
fof(f604,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f603]) ).
fof(f603,plain,
( sk_c9 != sk_c9
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14
| ~ spl0_21 ),
inference(superposition,[],[f601,f296]) ).
fof(f296,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f291,f60]) ).
fof(f60,plain,
( sk_c10 = multiply(sk_c4,sk_c9)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl0_3
<=> sk_c10 = multiply(sk_c4,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f291,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f278,f1]) ).
fof(f278,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c4,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f224]) ).
fof(f224,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl0_2 ),
inference(superposition,[],[f2,f55]) ).
fof(f55,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f53,plain,
( spl0_2
<=> sk_c10 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f601,plain,
( sk_c9 != multiply(sk_c10,sk_c10)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f600]) ).
fof(f600,plain,
( sk_c10 != sk_c10
| sk_c9 != multiply(sk_c10,sk_c10)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14
| ~ spl0_21 ),
inference(forward_demodulation,[],[f594,f55]) ).
fof(f594,plain,
( sk_c9 != multiply(sk_c10,sk_c10)
| sk_c10 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14
| ~ spl0_21 ),
inference(superposition,[],[f144,f414]) ).
fof(f414,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c10,X0)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_21 ),
inference(superposition,[],[f282,f406]) ).
fof(f406,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_21 ),
inference(forward_demodulation,[],[f401,f369]) ).
fof(f369,plain,
( sk_c9 = sk_c7
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_21 ),
inference(superposition,[],[f363,f315]) ).
fof(f315,plain,
( sk_c7 = multiply(sk_c7,sk_c9)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f295,f75]) ).
fof(f75,plain,
( sk_c9 = multiply(sk_c6,sk_c7)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f73,plain,
( spl0_6
<=> sk_c9 = multiply(sk_c6,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f295,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f286,f1]) ).
fof(f286,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f226]) ).
fof(f226,plain,
( identity = multiply(sk_c7,sk_c6)
| ~ spl0_7 ),
inference(superposition,[],[f2,f80]) ).
fof(f80,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl0_7
<=> sk_c7 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f363,plain,
( sk_c9 = multiply(sk_c7,sk_c9)
| ~ spl0_8
| ~ spl0_21 ),
inference(superposition,[],[f85,f173]) ).
fof(f85,plain,
( sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl0_8
<=> sk_c9 = multiply(sk_c7,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f401,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_21 ),
inference(superposition,[],[f295,f398]) ).
fof(f398,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_21 ),
inference(forward_demodulation,[],[f397,f1]) ).
fof(f397,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,X0)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_21 ),
inference(forward_demodulation,[],[f395,f349]) ).
fof(f349,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c9,multiply(sk_c6,X0))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f284,f295]) ).
fof(f284,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f75]) ).
fof(f395,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c6,X0))
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_21 ),
inference(superposition,[],[f3,f378]) ).
fof(f378,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_21 ),
inference(superposition,[],[f226,f369]) ).
fof(f282,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c9,X0)) = multiply(sk_c10,X0)
| ~ spl0_3 ),
inference(superposition,[],[f3,f60]) ).
fof(f449,plain,
( ~ spl0_4
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_19
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f445,f172,f161,f83,f78,f73,f63,f63]) ).
fof(f161,plain,
( spl0_19
<=> sk_c9 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f445,plain,
( sk_c9 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_19
| ~ spl0_21 ),
inference(superposition,[],[f163,f412]) ).
fof(f412,plain,
( identity = sk_c5
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_21 ),
inference(superposition,[],[f406,f225]) ).
fof(f163,plain,
( sk_c9 != inverse(identity)
| spl0_19 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f357,plain,
( spl0_21
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f356,f78,f73,f68,f63,f172]) ).
fof(f356,plain,
( sk_c9 = sk_c8
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f355,f75]) ).
fof(f355,plain,
( sk_c8 = multiply(sk_c6,sk_c7)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f350,f302]) ).
fof(f350,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c9,sk_c9)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f284,f315]) ).
fof(f221,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f220,f155,f83,f78,f73]) ).
fof(f220,plain,
( sk_c9 != multiply(sk_c6,sk_c7)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f219]) ).
fof(f219,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c6,sk_c7)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[],[f200,f85]) ).
fof(f200,plain,
( sk_c9 != multiply(sk_c7,sk_c8)
| sk_c9 != multiply(sk_c6,sk_c7)
| ~ spl0_7
| ~ spl0_18 ),
inference(superposition,[],[f156,f80]) ).
fof(f196,plain,
( ~ spl0_19
| ~ spl0_21
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f191,f152,f172,f161]) ).
fof(f191,plain,
( sk_c9 != sk_c8
| sk_c9 != inverse(identity)
| ~ spl0_17 ),
inference(superposition,[],[f153,f1]) ).
fof(f190,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f187,f149,f58,f53]) ).
fof(f187,plain,
( sk_c10 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f186]) ).
fof(f186,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_16 ),
inference(superposition,[],[f150,f60]) ).
fof(f175,plain,
( ~ spl0_19
| ~ spl0_21
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f169,f146,f172,f161]) ).
fof(f169,plain,
( sk_c9 != sk_c8
| sk_c9 != inverse(identity)
| ~ spl0_15 ),
inference(superposition,[],[f147,f1]) ).
fof(f157,plain,
( spl0_14
| spl0_15
| spl0_16
| spl0_16
| spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f47,f155,f152,f149,f149,f146,f143]) ).
fof(f47,plain,
! [X3,X8,X6,X7,X4,X5] :
( sk_c9 != multiply(inverse(X8),sk_c8)
| sk_c9 != multiply(X8,inverse(X8))
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != inverse(X7)
| sk_c10 != multiply(X6,sk_c9)
| sk_c10 != inverse(X6)
| sk_c10 != multiply(X5,sk_c9)
| sk_c10 != 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_c9 != multiply(X9,sk_c8)
| inverse(X8) != X9
| sk_c9 != multiply(X8,X9)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != inverse(X7)
| sk_c10 != multiply(X6,sk_c9)
| sk_c10 != inverse(X6)
| sk_c10 != multiply(X5,sk_c9)
| sk_c10 != 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/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_43) ).
fof(f140,plain,
( spl0_13
| spl0_7 ),
inference(avatar_split_clause,[],[f44,f78,f132]) ).
fof(f44,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_41) ).
fof(f139,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f43,f73,f132]) ).
fof(f43,axiom,
( sk_c9 = multiply(sk_c6,sk_c7)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_40) ).
fof(f138,plain,
( spl0_13
| spl0_5 ),
inference(avatar_split_clause,[],[f42,f68,f132]) ).
fof(f42,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_39) ).
fof(f137,plain,
( spl0_13
| spl0_4 ),
inference(avatar_split_clause,[],[f41,f63,f132]) ).
fof(f41,axiom,
( sk_c9 = inverse(sk_c5)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_38) ).
fof(f136,plain,
( spl0_13
| spl0_3 ),
inference(avatar_split_clause,[],[f40,f58,f132]) ).
fof(f40,axiom,
( sk_c10 = multiply(sk_c4,sk_c9)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_37) ).
fof(f135,plain,
( spl0_13
| spl0_2 ),
inference(avatar_split_clause,[],[f39,f53,f132]) ).
fof(f39,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_36) ).
fof(f129,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f37,f78,f121]) ).
fof(f37,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_34) ).
fof(f128,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f36,f73,f121]) ).
fof(f36,axiom,
( sk_c9 = multiply(sk_c6,sk_c7)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_33) ).
fof(f127,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f35,f68,f121]) ).
fof(f35,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_32) ).
fof(f126,plain,
( spl0_12
| spl0_4 ),
inference(avatar_split_clause,[],[f34,f63,f121]) ).
fof(f34,axiom,
( sk_c9 = inverse(sk_c5)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_31) ).
fof(f125,plain,
( spl0_12
| spl0_3 ),
inference(avatar_split_clause,[],[f33,f58,f121]) ).
fof(f33,axiom,
( sk_c10 = multiply(sk_c4,sk_c9)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_30) ).
fof(f124,plain,
( spl0_12
| spl0_2 ),
inference(avatar_split_clause,[],[f32,f53,f121]) ).
fof(f32,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_29) ).
fof(f119,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f31,f83,f110]) ).
fof(f31,axiom,
( sk_c9 = multiply(sk_c7,sk_c8)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_28) ).
fof(f118,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f30,f78,f110]) ).
fof(f30,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_27) ).
fof(f117,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f29,f73,f110]) ).
fof(f29,axiom,
( sk_c9 = multiply(sk_c6,sk_c7)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_26) ).
fof(f116,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f28,f68,f110]) ).
fof(f28,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_25) ).
fof(f115,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f27,f63,f110]) ).
fof(f27,axiom,
( sk_c9 = inverse(sk_c5)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_24) ).
fof(f108,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f24,f83,f99]) ).
fof(f24,axiom,
( sk_c9 = multiply(sk_c7,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_21) ).
fof(f107,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f23,f78,f99]) ).
fof(f23,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_20) ).
fof(f106,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f22,f73,f99]) ).
fof(f22,axiom,
( sk_c9 = multiply(sk_c6,sk_c7)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_19) ).
fof(f105,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f21,f68,f99]) ).
fof(f21,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_18) ).
fof(f104,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f20,f63,f99]) ).
fof(f20,axiom,
( sk_c9 = inverse(sk_c5)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_17) ).
fof(f97,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f17,f83,f88]) ).
fof(f17,axiom,
( sk_c9 = multiply(sk_c7,sk_c8)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_14) ).
fof(f96,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f16,f78,f88]) ).
fof(f16,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_13) ).
fof(f95,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f15,f73,f88]) ).
fof(f15,axiom,
( sk_c9 = multiply(sk_c6,sk_c7)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_12) ).
fof(f94,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f14,f68,f88]) ).
fof(f14,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_11) ).
fof(f93,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f13,f63,f88]) ).
fof(f13,axiom,
( sk_c9 = inverse(sk_c5)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_10) ).
fof(f92,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f12,f58,f88]) ).
fof(f12,axiom,
( sk_c10 = multiply(sk_c4,sk_c9)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_9) ).
fof(f91,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f11,f53,f88]) ).
fof(f11,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_8) ).
fof(f86,plain,
( spl0_1
| spl0_8 ),
inference(avatar_split_clause,[],[f10,f83,f49]) ).
fof(f10,axiom,
( sk_c9 = multiply(sk_c7,sk_c8)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_7) ).
fof(f81,plain,
( spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f9,f78,f49]) ).
fof(f9,axiom,
( sk_c7 = inverse(sk_c6)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_6) ).
fof(f76,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f73,f49]) ).
fof(f8,axiom,
( sk_c9 = multiply(sk_c6,sk_c7)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_5) ).
fof(f71,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f7,f68,f49]) ).
fof(f7,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_4) ).
fof(f66,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f6,f63,f49]) ).
fof(f6,axiom,
( sk_c9 = inverse(sk_c5)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_3) ).
fof(f61,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f58,f49]) ).
fof(f5,axiom,
( sk_c10 = multiply(sk_c4,sk_c9)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_2) ).
fof(f56,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f53,f49]) ).
fof(f4,axiom,
( sk_c10 = inverse(sk_c4)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GRP245-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.09 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Fri May 3 20:44:52 EDT 2024
% 0.08/0.28 % CPUTime :
% 0.08/0.28 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.08/0.28 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.SreJl2tLvb/Vampire---4.8_17312
% 0.47/0.67 % (17491)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)
% 0.47/0.67 % (17495)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)
% 0.47/0.67 % (17493)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.47/0.67 % (17496)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)
% 0.47/0.67 % (17494)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)
% 0.47/0.67 % (17497)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)
% 0.47/0.67 % (17498)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)
% 0.47/0.67 % (17492)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)
% 0.47/0.67 % (17491)Refutation not found, incomplete strategy% (17491)------------------------------
% 0.47/0.67 % (17491)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.67 % (17491)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.67
% 0.47/0.67 % (17491)Memory used [KB]: 1015
% 0.47/0.67 % (17491)Time elapsed: 0.003 s
% 0.47/0.67 % (17491)Instructions burned: 4 (million)
% 0.47/0.67 % (17491)------------------------------
% 0.47/0.67 % (17491)------------------------------
% 0.47/0.67 % (17498)Refutation not found, incomplete strategy% (17498)------------------------------
% 0.47/0.67 % (17498)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.67 % (17495)Refutation not found, incomplete strategy% (17495)------------------------------
% 0.47/0.67 % (17495)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.67 % (17498)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.67
% 0.47/0.67 % (17498)Memory used [KB]: 1018
% 0.47/0.67 % (17498)Time elapsed: 0.003 s
% 0.47/0.67 % (17498)Instructions burned: 4 (million)
% 0.47/0.67 % (17495)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.67
% 0.47/0.67 % (17495)Memory used [KB]: 1033
% 0.47/0.67 % (17495)Time elapsed: 0.004 s
% 0.47/0.67 % (17495)Instructions burned: 5 (million)
% 0.47/0.67 % (17494)Refutation not found, incomplete strategy% (17494)------------------------------
% 0.47/0.67 % (17494)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.67 % (17494)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.67
% 0.47/0.67 % (17494)Memory used [KB]: 999
% 0.47/0.67 % (17494)Time elapsed: 0.004 s
% 0.47/0.67 % (17498)------------------------------
% 0.47/0.67 % (17498)------------------------------
% 0.47/0.67 % (17494)Instructions burned: 4 (million)
% 0.47/0.67 % (17495)------------------------------
% 0.47/0.67 % (17495)------------------------------
% 0.47/0.67 % (17494)------------------------------
% 0.47/0.67 % (17494)------------------------------
% 0.47/0.67 % (17499)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 (2996ds/55Mi)
% 0.47/0.67 % (17501)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 (2996ds/208Mi)
% 0.47/0.67 % (17500)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 (2996ds/50Mi)
% 0.47/0.68 % (17500)Refutation not found, incomplete strategy% (17500)------------------------------
% 0.47/0.68 % (17500)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.68 % (17500)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.68
% 0.47/0.68 % (17500)Memory used [KB]: 999
% 0.47/0.68 % (17500)Time elapsed: 0.004 s
% 0.47/0.68 % (17500)Instructions burned: 7 (million)
% 0.47/0.68 % (17500)------------------------------
% 0.47/0.68 % (17500)------------------------------
% 0.47/0.68 % (17502)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 (2996ds/52Mi)
% 0.47/0.68 % (17503)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 (2996ds/518Mi)
% 0.47/0.69 % (17499)Instruction limit reached!
% 0.47/0.69 % (17499)------------------------------
% 0.47/0.69 % (17499)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.69 % (17499)Termination reason: Unknown
% 0.47/0.69 % (17499)Termination phase: Saturation
% 0.47/0.69
% 0.47/0.69 % (17499)Memory used [KB]: 1686
% 0.47/0.69 % (17499)Time elapsed: 0.016 s
% 0.47/0.69 % (17499)Instructions burned: 56 (million)
% 0.47/0.69 % (17499)------------------------------
% 0.47/0.69 % (17499)------------------------------
% 0.47/0.69 % (17492)First to succeed.
% 0.47/0.69 % (17496)Instruction limit reached!
% 0.47/0.69 % (17496)------------------------------
% 0.47/0.69 % (17496)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.69 % (17496)Termination reason: Unknown
% 0.47/0.69 % (17496)Termination phase: Saturation
% 0.47/0.69
% 0.47/0.69 % (17496)Memory used [KB]: 1565
% 0.47/0.69 % (17496)Time elapsed: 0.022 s
% 0.47/0.69 % (17496)Instructions burned: 45 (million)
% 0.47/0.69 % (17496)------------------------------
% 0.47/0.69 % (17496)------------------------------
% 0.47/0.69 % (17504)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.47/0.69 % (17492)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17490"
% 0.47/0.69 % (17504)Refutation not found, incomplete strategy% (17504)------------------------------
% 0.47/0.69 % (17504)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.69 % (17504)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.69
% 0.47/0.69 % (17504)Memory used [KB]: 1030
% 0.47/0.69 % (17504)Time elapsed: 0.002 s
% 0.47/0.69 % (17504)Instructions burned: 4 (million)
% 0.47/0.69 % (17492)Refutation found. Thanks to Tanya!
% 0.47/0.69 % SZS status Unsatisfiable for Vampire---4
% 0.47/0.69 % SZS output start Proof for Vampire---4
% See solution above
% 0.47/0.69 % (17492)------------------------------
% 0.47/0.69 % (17492)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.69 % (17492)Termination reason: Refutation
% 0.47/0.69
% 0.47/0.69 % (17492)Memory used [KB]: 1392
% 0.47/0.69 % (17492)Time elapsed: 0.024 s
% 0.47/0.69 % (17492)Instructions burned: 39 (million)
% 0.47/0.69 % (17490)Success in time 0.405 s
% 0.47/0.69 % Vampire---4.8 exiting
%------------------------------------------------------------------------------