TSTP Solution File: GRP248-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP248-1 : 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 : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 1 02:28:15 EDT 2024
% Result : Unsatisfiable 0.65s 0.84s
% Output : Refutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 64
% Syntax : Number of formulae : 255 ( 4 unt; 0 def)
% Number of atoms : 812 ( 285 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 1069 ( 512 ~; 534 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 24 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 70 ( 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1524,plain,
$false,
inference(avatar_sat_refutation,[],[f56,f61,f66,f76,f81,f86,f91,f92,f93,f95,f96,f97,f102,f103,f104,f105,f106,f107,f108,f113,f114,f115,f116,f117,f118,f119,f124,f125,f126,f128,f129,f135,f136,f137,f138,f139,f140,f160,f178,f210,f217,f239,f242,f390,f400,f401,f412,f429,f442,f451,f548,f724,f793,f967,f1011,f1391,f1397,f1398,f1521]) ).
fof(f1521,plain,
( spl0_22
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1509,f236,f132,f110,f99,f88,f49,f175]) ).
fof(f175,plain,
( spl0_22
<=> sk_c9 = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
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(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(f132,plain,
( spl0_13
<=> sk_c10 = multiply(sk_c3,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f236,plain,
( spl0_30
<=> sk_c9 = multiply(sk_c9,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f1509,plain,
( sk_c9 = sk_c8
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_30 ),
inference(superposition,[],[f237,f1491]) ).
fof(f1491,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1489,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.64Rtl0jlzc/Vampire---4.8_24119',left_identity) ).
fof(f1489,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(identity,X0))
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_30 ),
inference(superposition,[],[f3,f1483]) ).
fof(f1483,plain,
( identity = multiply(sk_c9,identity)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1482,f804]) ).
fof(f804,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/sandbox2/tmp/tmp.64Rtl0jlzc/Vampire---4.8_24119',left_inverse) ).
fof(f1482,plain,
( multiply(sk_c9,identity) = multiply(sk_c9,sk_c2)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1480,f806]) ).
fof(f806,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c1,multiply(sk_c10,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f51]) ).
fof(f51,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f1480,plain,
( multiply(sk_c9,identity) = multiply(sk_c1,multiply(sk_c10,sk_c2))
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_30 ),
inference(superposition,[],[f806,f1471]) ).
fof(f1471,plain,
( multiply(sk_c10,identity) = multiply(sk_c10,sk_c2)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1457,f1400]) ).
fof(f1400,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c8,X0))
| ~ spl0_10
| ~ spl0_13
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1182,f842]) ).
fof(f842,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c3,multiply(sk_c8,X0))
| ~ spl0_13 ),
inference(superposition,[],[f3,f134]) ).
fof(f134,plain,
( sk_c10 = multiply(sk_c3,sk_c8)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f1182,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c8,X0)) = multiply(sk_c10,multiply(sk_c8,X0))
| ~ spl0_10
| ~ spl0_13
| ~ spl0_30 ),
inference(superposition,[],[f842,f853]) ).
fof(f853,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c8,X0))
| ~ spl0_10
| ~ spl0_30 ),
inference(superposition,[],[f3,f849]) ).
fof(f849,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_10
| ~ spl0_30 ),
inference(forward_demodulation,[],[f846,f101]) ).
fof(f101,plain,
( sk_c8 = multiply(sk_c2,sk_c9)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f846,plain,
( multiply(sk_c2,sk_c9) = multiply(sk_c8,sk_c8)
| ~ spl0_10
| ~ spl0_30 ),
inference(superposition,[],[f408,f237]) ).
fof(f408,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c9,X0))
| ~ spl0_10 ),
inference(superposition,[],[f3,f101]) ).
fof(f1457,plain,
( multiply(sk_c10,identity) = multiply(sk_c10,multiply(sk_c8,sk_c2))
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f856,f866]) ).
fof(f866,plain,
( identity = multiply(sk_c9,multiply(sk_c8,sk_c2))
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f840,f818]) ).
fof(f818,plain,
( multiply(sk_c2,identity) = multiply(sk_c8,sk_c2)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f408,f804]) ).
fof(f840,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c2,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f819,f1]) ).
fof(f819,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c2,X0))
| ~ spl0_11 ),
inference(superposition,[],[f3,f804]) ).
fof(f856,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c9,X0))
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f3,f805]) ).
fof(f805,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f414,f51]) ).
fof(f414,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c1,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f413,f1]) ).
fof(f413,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c1,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f404]) ).
fof(f404,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(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.64Rtl0jlzc/Vampire---4.8_24119',associativity) ).
fof(f237,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f1398,plain,
( ~ spl0_20
| ~ spl0_22
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1012,f155,f175,f164]) ).
fof(f164,plain,
( spl0_20
<=> sk_c9 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f155,plain,
( spl0_18
<=> ! [X7] :
( sk_c9 != multiply(X7,sk_c8)
| sk_c9 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1012,plain,
( sk_c9 != sk_c8
| sk_c9 != inverse(identity)
| ~ spl0_18 ),
inference(superposition,[],[f156,f1]) ).
fof(f156,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c8)
| sk_c9 != inverse(X7) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f1397,plain,
( ~ spl0_22
| ~ spl0_20
| ~ spl0_9
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1130,f155,f88,f164,f175]) ).
fof(f1130,plain,
( sk_c9 != inverse(identity)
| sk_c9 != sk_c8
| ~ spl0_9
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1107,f404]) ).
fof(f1107,plain,
( sk_c9 != sk_c8
| sk_c9 != inverse(multiply(sk_c10,sk_c1))
| ~ spl0_9
| ~ spl0_18 ),
inference(superposition,[],[f1013,f414]) ).
fof(f1013,plain,
( ! [X0,X1] :
( sk_c9 != multiply(X0,multiply(X1,sk_c8))
| sk_c9 != inverse(multiply(X0,X1)) )
| ~ spl0_18 ),
inference(superposition,[],[f156,f3]) ).
fof(f1391,plain,
( ~ spl0_11
| ~ spl0_10
| ~ spl0_11
| spl0_20
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f1385,f175,f164,f110,f99,f110]) ).
fof(f1385,plain,
( sk_c9 != inverse(sk_c2)
| ~ spl0_10
| ~ spl0_11
| spl0_20
| ~ spl0_22 ),
inference(superposition,[],[f166,f1357]) ).
fof(f1357,plain,
( identity = sk_c2
| ~ spl0_10
| ~ spl0_11
| ~ spl0_22 ),
inference(superposition,[],[f1340,f804]) ).
fof(f1340,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_10
| ~ spl0_11
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1337,f1]) ).
fof(f1337,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(identity,X0))
| ~ spl0_10
| ~ spl0_11
| ~ spl0_22 ),
inference(superposition,[],[f3,f1314]) ).
fof(f1314,plain,
( identity = multiply(sk_c9,identity)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1303,f804]) ).
fof(f1303,plain,
( identity = multiply(sk_c9,multiply(sk_c9,sk_c2))
| ~ spl0_10
| ~ spl0_11
| ~ spl0_22 ),
inference(superposition,[],[f866,f176]) ).
fof(f176,plain,
( sk_c9 = sk_c8
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f166,plain,
( sk_c9 != inverse(identity)
| spl0_20 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f1011,plain,
( ~ spl0_22
| ~ spl0_10
| ~ spl0_11
| ~ spl0_19
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1010,f236,f158,f110,f99,f175]) ).
fof(f158,plain,
( spl0_19
<=> ! [X8] :
( sk_c9 != multiply(inverse(X8),sk_c8)
| sk_c9 != multiply(X8,inverse(X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f1010,plain,
( sk_c9 != sk_c8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_19
| ~ spl0_30 ),
inference(superposition,[],[f1009,f101]) ).
fof(f1009,plain,
( sk_c9 != multiply(sk_c2,sk_c9)
| ~ spl0_11
| ~ spl0_19
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f1008]) ).
fof(f1008,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c2,sk_c9)
| ~ spl0_11
| ~ spl0_19
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1005,f237]) ).
fof(f1005,plain,
( sk_c9 != multiply(sk_c9,sk_c8)
| sk_c9 != multiply(sk_c2,sk_c9)
| ~ spl0_11
| ~ spl0_19 ),
inference(superposition,[],[f159,f112]) ).
fof(f159,plain,
( ! [X8] :
( sk_c9 != multiply(inverse(X8),sk_c8)
| sk_c9 != multiply(X8,inverse(X8)) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f967,plain,
( spl0_22
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f960,f236,f83,f78,f73,f175]) ).
fof(f73,plain,
( spl0_6
<=> sk_c9 = multiply(sk_c6,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f78,plain,
( spl0_7
<=> sk_c7 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f83,plain,
( spl0_8
<=> sk_c9 = multiply(sk_c7,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f960,plain,
( sk_c9 = sk_c8
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_30 ),
inference(superposition,[],[f237,f949]) ).
fof(f949,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_30 ),
inference(forward_demodulation,[],[f944,f910]) ).
fof(f910,plain,
( sk_c9 = sk_c7
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_30 ),
inference(superposition,[],[f908,f551]) ).
fof(f551,plain,
( sk_c7 = multiply(sk_c7,sk_c9)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f327,f75]) ).
fof(f75,plain,
( sk_c9 = multiply(sk_c6,sk_c7)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f327,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f318,f1]) ).
fof(f318,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f247]) ).
fof(f247,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(f908,plain,
( sk_c9 = multiply(sk_c7,sk_c9)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_30 ),
inference(superposition,[],[f327,f905]) ).
fof(f905,plain,
( sk_c9 = multiply(sk_c6,sk_c9)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_30 ),
inference(forward_demodulation,[],[f899,f237]) ).
fof(f899,plain,
( multiply(sk_c9,sk_c8) = multiply(sk_c6,sk_c9)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f552,f85]) ).
fof(f85,plain,
( sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f552,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f75]) ).
fof(f944,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_30 ),
inference(superposition,[],[f327,f938]) ).
fof(f938,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_30 ),
inference(forward_demodulation,[],[f937,f1]) ).
fof(f937,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,X0)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_30 ),
inference(forward_demodulation,[],[f934,f896]) ).
fof(f896,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c9,multiply(sk_c6,X0))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f552,f327]) ).
fof(f934,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c6,X0))
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_30 ),
inference(superposition,[],[f3,f919]) ).
fof(f919,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_30 ),
inference(superposition,[],[f247,f910]) ).
fof(f793,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f792]) ).
fof(f792,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f787]) ).
fof(f787,plain,
( sk_c9 != sk_c9
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14
| ~ spl0_22 ),
inference(superposition,[],[f777,f549]) ).
fof(f549,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f323,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(f323,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f310,f1]) ).
fof(f310,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c4,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f245]) ).
fof(f245,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(f777,plain,
( sk_c9 != multiply(sk_c10,sk_c10)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f776]) ).
fof(f776,plain,
( sk_c10 != sk_c10
| sk_c9 != multiply(sk_c10,sk_c10)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14
| ~ spl0_22 ),
inference(forward_demodulation,[],[f771,f55]) ).
fof(f771,plain,
( sk_c9 != multiply(sk_c10,sk_c10)
| sk_c10 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14
| ~ spl0_22 ),
inference(superposition,[],[f144,f657]) ).
fof(f657,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c10,X0)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_22 ),
inference(superposition,[],[f550,f645]) ).
fof(f645,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_22 ),
inference(superposition,[],[f559,f635]) ).
fof(f635,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_22 ),
inference(superposition,[],[f554,f325]) ).
fof(f325,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c5,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f312,f1]) ).
fof(f312,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c5,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f246]) ).
fof(f246,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(f63,plain,
( spl0_4
<=> sk_c9 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f554,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c6,multiply(sk_c9,X0))
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_22 ),
inference(forward_demodulation,[],[f552,f553]) ).
fof(f553,plain,
( sk_c9 = sk_c7
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_22 ),
inference(forward_demodulation,[],[f551,f477]) ).
fof(f477,plain,
( sk_c9 = multiply(sk_c7,sk_c9)
| ~ spl0_8
| ~ spl0_22 ),
inference(superposition,[],[f85,f176]) ).
fof(f559,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_22 ),
inference(superposition,[],[f327,f553]) ).
fof(f550,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c9,X0)) = multiply(sk_c10,X0)
| ~ spl0_3 ),
inference(superposition,[],[f3,f60]) ).
fof(f144,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f143]) ).
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(f724,plain,
( ~ spl0_4
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_20
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f722,f175,f164,f83,f78,f73,f63,f63]) ).
fof(f722,plain,
( sk_c9 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_20
| ~ spl0_22 ),
inference(superposition,[],[f166,f654]) ).
fof(f654,plain,
( identity = sk_c5
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_22 ),
inference(superposition,[],[f645,f246]) ).
fof(f548,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_17
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f544,f175,f152,f132,f121]) ).
fof(f121,plain,
( spl0_12
<=> sk_c10 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f152,plain,
( spl0_17
<=> ! [X6] :
( sk_c10 != multiply(X6,sk_c9)
| sk_c10 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f544,plain,
( sk_c10 != inverse(sk_c3)
| ~ spl0_13
| ~ spl0_17
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f543]) ).
fof(f543,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c3)
| ~ spl0_13
| ~ spl0_17
| ~ spl0_22 ),
inference(superposition,[],[f153,f478]) ).
fof(f478,plain,
( sk_c10 = multiply(sk_c3,sk_c9)
| ~ spl0_13
| ~ spl0_22 ),
inference(superposition,[],[f134,f176]) ).
fof(f153,plain,
( ! [X6] :
( sk_c10 != multiply(X6,sk_c9)
| sk_c10 != inverse(X6) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f451,plain,
( ~ spl0_11
| ~ spl0_10
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f449,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(f449,plain,
( sk_c9 != inverse(sk_c2)
| ~ spl0_10
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f448]) ).
fof(f448,plain,
( sk_c8 != sk_c8
| sk_c9 != inverse(sk_c2)
| ~ spl0_10
| ~ spl0_15 ),
inference(superposition,[],[f147,f101]) ).
fof(f147,plain,
( ! [X4] :
( sk_c8 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f442,plain,
( ~ spl0_9
| ~ spl0_1
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f441,f143,f49,f88]) ).
fof(f441,plain,
( sk_c10 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f439]) ).
fof(f439,plain,
( sk_c9 != sk_c9
| sk_c10 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_14 ),
inference(superposition,[],[f144,f51]) ).
fof(f429,plain,
( spl0_30
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f427,f110,f99,f236]) ).
fof(f427,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f417,f101]) ).
fof(f417,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c2,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f416,f1]) ).
fof(f416,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c2,X0))
| ~ spl0_11 ),
inference(superposition,[],[f3,f405]) ).
fof(f405,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl0_11 ),
inference(superposition,[],[f2,f112]) ).
fof(f412,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f411,f149,f132,f121]) ).
fof(f149,plain,
( spl0_16
<=> ! [X5] :
( sk_c10 != multiply(X5,sk_c8)
| sk_c10 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f411,plain,
( sk_c10 != inverse(sk_c3)
| ~ spl0_13
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f409]) ).
fof(f409,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_c8)
| sk_c10 != inverse(X5) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f401,plain,
( spl0_17
| ~ spl0_16
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f395,f175,f149,f152]) ).
fof(f395,plain,
( ! [X0] :
( sk_c10 != multiply(X0,sk_c9)
| inverse(X0) != sk_c10 )
| ~ spl0_16
| ~ spl0_22 ),
inference(superposition,[],[f150,f176]) ).
fof(f400,plain,
( spl0_29
| ~ spl0_5
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f393,f175,f68,f232]) ).
fof(f232,plain,
( spl0_29
<=> sk_c9 = multiply(sk_c5,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f68,plain,
( spl0_5
<=> sk_c9 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f393,plain,
( sk_c9 = multiply(sk_c5,sk_c9)
| ~ spl0_5
| ~ spl0_22 ),
inference(superposition,[],[f70,f176]) ).
fof(f70,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f390,plain,
( spl0_22
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f389,f78,f73,f68,f63,f175]) ).
fof(f389,plain,
( sk_c9 = sk_c8
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f388,f75]) ).
fof(f388,plain,
( sk_c8 = multiply(sk_c6,sk_c7)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f383,f339]) ).
fof(f339,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f325,f70]) ).
fof(f383,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c9,sk_c9)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f316,f345]) ).
fof(f345,plain,
( sk_c7 = multiply(sk_c7,sk_c9)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f327,f75]) ).
fof(f316,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f75]) ).
fof(f242,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f241,f158,f83,f78,f73]) ).
fof(f241,plain,
( sk_c9 != multiply(sk_c6,sk_c7)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f240]) ).
fof(f240,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c6,sk_c7)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_19 ),
inference(forward_demodulation,[],[f221,f85]) ).
fof(f221,plain,
( sk_c9 != multiply(sk_c7,sk_c8)
| sk_c9 != multiply(sk_c6,sk_c7)
| ~ spl0_7
| ~ spl0_19 ),
inference(superposition,[],[f159,f80]) ).
fof(f239,plain,
( ~ spl0_29
| ~ spl0_30
| ~ spl0_4
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f220,f158,f63,f236,f232]) ).
fof(f220,plain,
( sk_c9 != multiply(sk_c9,sk_c8)
| sk_c9 != multiply(sk_c5,sk_c9)
| ~ spl0_4
| ~ spl0_19 ),
inference(superposition,[],[f159,f65]) ).
fof(f217,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f215,f155,f68,f63]) ).
fof(f215,plain,
( sk_c9 != inverse(sk_c5)
| ~ spl0_5
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f212]) ).
fof(f212,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c5)
| ~ spl0_5
| ~ spl0_18 ),
inference(superposition,[],[f156,f70]) ).
fof(f210,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f207,f152,f58,f53]) ).
fof(f207,plain,
( sk_c10 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f206]) ).
fof(f206,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_17 ),
inference(superposition,[],[f153,f60]) ).
fof(f178,plain,
( ~ spl0_20
| ~ spl0_22
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f172,f146,f175,f164]) ).
fof(f172,plain,
( sk_c9 != sk_c8
| sk_c9 != inverse(identity)
| ~ spl0_15 ),
inference(superposition,[],[f147,f1]) ).
fof(f160,plain,
( spl0_14
| spl0_15
| spl0_16
| spl0_17
| spl0_18
| spl0_19 ),
inference(avatar_split_clause,[],[f47,f158,f155,f152,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_c8)
| 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_c8)
| 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.64Rtl0jlzc/Vampire---4.8_24119',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_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.64Rtl0jlzc/Vampire---4.8_24119',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_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.64Rtl0jlzc/Vampire---4.8_24119',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_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.64Rtl0jlzc/Vampire---4.8_24119',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_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.64Rtl0jlzc/Vampire---4.8_24119',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_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.64Rtl0jlzc/Vampire---4.8_24119',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_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.64Rtl0jlzc/Vampire---4.8_24119',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.64Rtl0jlzc/Vampire---4.8_24119',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.64Rtl0jlzc/Vampire---4.8_24119',prove_this_33) ).
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.64Rtl0jlzc/Vampire---4.8_24119',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.64Rtl0jlzc/Vampire---4.8_24119',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.64Rtl0jlzc/Vampire---4.8_24119',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.64Rtl0jlzc/Vampire---4.8_24119',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.64Rtl0jlzc/Vampire---4.8_24119',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.64Rtl0jlzc/Vampire---4.8_24119',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.64Rtl0jlzc/Vampire---4.8_24119',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.64Rtl0jlzc/Vampire---4.8_24119',prove_this_24) ).
fof(f114,plain,
( spl0_11
| spl0_3 ),
inference(avatar_split_clause,[],[f26,f58,f110]) ).
fof(f26,axiom,
( sk_c10 = multiply(sk_c4,sk_c9)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.64Rtl0jlzc/Vampire---4.8_24119',prove_this_23) ).
fof(f113,plain,
( spl0_11
| spl0_2 ),
inference(avatar_split_clause,[],[f25,f53,f110]) ).
fof(f25,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.64Rtl0jlzc/Vampire---4.8_24119',prove_this_22) ).
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.64Rtl0jlzc/Vampire---4.8_24119',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.64Rtl0jlzc/Vampire---4.8_24119',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.64Rtl0jlzc/Vampire---4.8_24119',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.64Rtl0jlzc/Vampire---4.8_24119',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.64Rtl0jlzc/Vampire---4.8_24119',prove_this_17) ).
fof(f103,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f19,f58,f99]) ).
fof(f19,axiom,
( sk_c10 = multiply(sk_c4,sk_c9)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.64Rtl0jlzc/Vampire---4.8_24119',prove_this_16) ).
fof(f102,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f18,f53,f99]) ).
fof(f18,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.64Rtl0jlzc/Vampire---4.8_24119',prove_this_15) ).
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.64Rtl0jlzc/Vampire---4.8_24119',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.64Rtl0jlzc/Vampire---4.8_24119',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.64Rtl0jlzc/Vampire---4.8_24119',prove_this_12) ).
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.64Rtl0jlzc/Vampire---4.8_24119',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.64Rtl0jlzc/Vampire---4.8_24119',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.64Rtl0jlzc/Vampire---4.8_24119',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.64Rtl0jlzc/Vampire---4.8_24119',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.64Rtl0jlzc/Vampire---4.8_24119',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.64Rtl0jlzc/Vampire---4.8_24119',prove_this_5) ).
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.64Rtl0jlzc/Vampire---4.8_24119',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.64Rtl0jlzc/Vampire---4.8_24119',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.64Rtl0jlzc/Vampire---4.8_24119',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP248-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.13 % 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
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Apr 30 18:15:03 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.33 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.13/0.34 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.64Rtl0jlzc/Vampire---4.8_24119
% 0.60/0.80 % (24236)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.80 % (24233)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 (2995ds/34Mi)
% 0.60/0.80 % (24237)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 (2995ds/34Mi)
% 0.60/0.80 % (24238)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.80 % (24234)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 (2995ds/51Mi)
% 0.60/0.80 % (24239)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 (2995ds/83Mi)
% 0.60/0.80 % (24240)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 (2995ds/56Mi)
% 0.60/0.81 % (24233)Refutation not found, incomplete strategy% (24233)------------------------------
% 0.60/0.81 % (24233)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (24236)Refutation not found, incomplete strategy% (24236)------------------------------
% 0.60/0.81 % (24236)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (24236)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (24236)Memory used [KB]: 992
% 0.60/0.81 % (24236)Time elapsed: 0.004 s
% 0.60/0.81 % (24236)Instructions burned: 4 (million)
% 0.60/0.81 % (24236)------------------------------
% 0.60/0.81 % (24236)------------------------------
% 0.60/0.81 % (24233)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (24235)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.81 % (24233)Memory used [KB]: 1009
% 0.60/0.81 % (24237)Refutation not found, incomplete strategy% (24237)------------------------------
% 0.60/0.81 % (24237)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (24237)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (24237)Memory used [KB]: 1090
% 0.60/0.81 % (24237)Time elapsed: 0.004 s
% 0.60/0.81 % (24237)Instructions burned: 5 (million)
% 0.60/0.81 % (24237)------------------------------
% 0.60/0.81 % (24237)------------------------------
% 0.60/0.81 % (24233)Time elapsed: 0.004 s
% 0.60/0.81 % (24233)Instructions burned: 4 (million)
% 0.60/0.81 % (24233)------------------------------
% 0.60/0.81 % (24233)------------------------------
% 0.60/0.81 % (24240)Refutation not found, incomplete strategy% (24240)------------------------------
% 0.60/0.81 % (24240)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (24240)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (24240)Memory used [KB]: 1011
% 0.60/0.81 % (24240)Time elapsed: 0.003 s
% 0.60/0.81 % (24240)Instructions burned: 4 (million)
% 0.60/0.81 % (24240)------------------------------
% 0.60/0.81 % (24240)------------------------------
% 0.60/0.81 % (24241)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)
% 0.60/0.81 % (24243)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)
% 0.60/0.81 % (24242)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)
% 0.60/0.81 % (24244)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)
% 0.65/0.81 % (24242)Refutation not found, incomplete strategy% (24242)------------------------------
% 0.65/0.81 % (24242)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.81 % (24242)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81
% 0.65/0.81 % (24242)Memory used [KB]: 997
% 0.65/0.81 % (24242)Time elapsed: 0.004 s
% 0.65/0.81 % (24242)Instructions burned: 7 (million)
% 0.65/0.81 % (24242)------------------------------
% 0.65/0.81 % (24242)------------------------------
% 0.65/0.82 % (24245)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)
% 0.65/0.82 % (24238)Instruction limit reached!
% 0.65/0.82 % (24238)------------------------------
% 0.65/0.82 % (24238)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.82 % (24238)Termination reason: Unknown
% 0.65/0.82 % (24238)Termination phase: Saturation
% 0.65/0.82
% 0.65/0.82 % (24238)Memory used [KB]: 1559
% 0.65/0.82 % (24238)Time elapsed: 0.022 s
% 0.65/0.82 % (24238)Instructions burned: 45 (million)
% 0.65/0.82 % (24238)------------------------------
% 0.65/0.82 % (24238)------------------------------
% 0.65/0.83 % (24246)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)
% 0.65/0.83 % (24246)Refutation not found, incomplete strategy% (24246)------------------------------
% 0.65/0.83 % (24246)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.83 % (24246)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.83
% 0.65/0.83 % (24246)Memory used [KB]: 1030
% 0.65/0.83 % (24246)Time elapsed: 0.004 s
% 0.65/0.83 % (24246)Instructions burned: 4 (million)
% 0.65/0.83 % (24246)------------------------------
% 0.65/0.83 % (24246)------------------------------
% 0.65/0.83 % (24244)Instruction limit reached!
% 0.65/0.83 % (24244)------------------------------
% 0.65/0.83 % (24244)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.83 % (24244)Termination reason: Unknown
% 0.65/0.83 % (24244)Termination phase: Saturation
% 0.65/0.83
% 0.65/0.83 % (24244)Memory used [KB]: 1683
% 0.65/0.83 % (24244)Time elapsed: 0.024 s
% 0.65/0.83 % (24244)Instructions burned: 54 (million)
% 0.65/0.83 % (24244)------------------------------
% 0.65/0.83 % (24244)------------------------------
% 0.65/0.83 % (24234)First to succeed.
% 0.65/0.83 % (24241)Instruction limit reached!
% 0.65/0.83 % (24241)------------------------------
% 0.65/0.83 % (24241)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.83 % (24241)Termination reason: Unknown
% 0.65/0.83 % (24241)Termination phase: Saturation
% 0.65/0.83
% 0.65/0.83 % (24241)Memory used [KB]: 1680
% 0.65/0.83 % (24241)Time elapsed: 0.025 s
% 0.65/0.83 % (24241)Instructions burned: 57 (million)
% 0.65/0.83 % (24241)------------------------------
% 0.65/0.83 % (24241)------------------------------
% 0.65/0.83 % (24247)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.65/0.83 % (24248)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.65/0.84 % (24249)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.65/0.84 % (24234)Refutation found. Thanks to Tanya!
% 0.65/0.84 % SZS status Unsatisfiable for Vampire---4
% 0.65/0.84 % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.84 % (24234)------------------------------
% 0.65/0.84 % (24234)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.84 % (24234)Termination reason: Refutation
% 0.65/0.84
% 0.65/0.84 % (24234)Memory used [KB]: 1469
% 0.65/0.84 % (24234)Time elapsed: 0.032 s
% 0.65/0.84 % (24234)Instructions burned: 56 (million)
% 0.65/0.84 % (24234)------------------------------
% 0.65/0.84 % (24234)------------------------------
% 0.65/0.84 % (24228)Success in time 0.492 s
% 0.65/0.84 % Vampire---4.8 exiting
%------------------------------------------------------------------------------