TSTP Solution File: GRP236-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP236-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n018.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 02:28:12 EDT 2024
% Result : Unsatisfiable 0.60s 0.78s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 50
% Syntax : Number of formulae : 227 ( 8 unt; 0 def)
% Number of atoms : 815 ( 270 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1144 ( 556 ~; 568 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 63 ( 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1482,plain,
$false,
inference(avatar_sat_refutation,[],[f41,f46,f51,f56,f61,f66,f67,f68,f69,f70,f75,f76,f77,f78,f79,f84,f85,f86,f87,f88,f93,f94,f95,f96,f97,f109,f112,f124,f142,f168,f171,f199,f527,f530,f1014,f1032,f1124,f1129,f1191,f1198,f1257,f1478]) ).
fof(f1478,plain,
( ~ spl0_21
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f1477,f1008,f101,f90,f81,f72,f1017]) ).
fof(f1017,plain,
( spl0_21
<=> sk_c8 = inverse(sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f72,plain,
( spl0_8
<=> sk_c7 = multiply(sk_c2,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f81,plain,
( spl0_9
<=> sk_c3 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f90,plain,
( spl0_10
<=> sk_c7 = multiply(sk_c3,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f101,plain,
( spl0_11
<=> ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1008,plain,
( spl0_20
<=> sk_c8 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1477,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1476,f1009]) ).
fof(f1009,plain,
( sk_c8 = sk_c7
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f1008]) ).
fof(f1476,plain,
( sk_c8 != inverse(sk_c7)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1475,f1152]) ).
fof(f1152,plain,
( sk_c7 = sk_c3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f738,f747]) ).
fof(f747,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f733,f444]) ).
fof(f444,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c7,X0)) = X0
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f443,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.aDEPovvqqP/Vampire---4.8_12404',left_identity) ).
fof(f443,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c7,X0))
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f3,f438]) ).
fof(f438,plain,
( identity = multiply(sk_c2,sk_c7)
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f433,f146]) ).
fof(f146,plain,
identity = multiply(sk_c7,sk_c8),
inference(superposition,[],[f2,f4]) ).
fof(f4,axiom,
inverse(sk_c8) = sk_c7,
file('/export/starexec/sandbox/tmp/tmp.aDEPovvqqP/Vampire---4.8_12404',prove_this_1) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.aDEPovvqqP/Vampire---4.8_12404',left_inverse) ).
fof(f433,plain,
( multiply(sk_c7,sk_c8) = multiply(sk_c2,sk_c7)
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f203,f92]) ).
fof(f92,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f203,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c3,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f74]) ).
fof(f74,plain,
( sk_c7 = multiply(sk_c2,sk_c3)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.aDEPovvqqP/Vampire---4.8_12404',associativity) ).
fof(f733,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c7,X0))
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f203,f450]) ).
fof(f450,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,X0)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f446,f1]) ).
fof(f446,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(identity,X0))
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f3,f442]) ).
fof(f442,plain,
( sk_c7 = multiply(sk_c3,identity)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f209,f438]) ).
fof(f209,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f208,f1]) ).
fof(f208,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c2,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f201]) ).
fof(f201,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl0_9 ),
inference(superposition,[],[f2,f83]) ).
fof(f83,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f738,plain,
( sk_c3 = multiply(sk_c7,sk_c7)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f233,f450]) ).
fof(f233,plain,
( sk_c3 = multiply(sk_c3,sk_c7)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f209,f74]) ).
fof(f1475,plain,
( sk_c8 != inverse(sk_c3)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f1474]) ).
fof(f1474,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c3)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1431,f1009]) ).
fof(f1431,plain,
( sk_c8 != sk_c7
| sk_c8 != inverse(sk_c3)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(superposition,[],[f1210,f92]) ).
fof(f1210,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl0_11
| ~ spl0_20 ),
inference(forward_demodulation,[],[f102,f1009]) ).
fof(f102,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f1257,plain,
( spl0_21
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f1251,f1008,f90,f81,f72,f63,f34,f1017]) ).
fof(f34,plain,
( spl0_1
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f63,plain,
( spl0_7
<=> sk_c8 = multiply(sk_c1,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1251,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_20 ),
inference(superposition,[],[f36,f1239]) ).
fof(f1239,plain,
( sk_c8 = sk_c1
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1236,f747]) ).
fof(f1236,plain,
( sk_c1 = multiply(sk_c7,sk_c8)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_20 ),
inference(superposition,[],[f212,f1221]) ).
fof(f1221,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1212,f1200]) ).
fof(f1200,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1158,f747]) ).
fof(f1158,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,X0)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f420,f747]) ).
fof(f420,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f202,f228]) ).
fof(f228,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,X0)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f227,f1]) ).
fof(f227,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c7,multiply(identity,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f212]) ).
fof(f202,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c7,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f65]) ).
fof(f65,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f1212,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_20 ),
inference(superposition,[],[f146,f1009]) ).
fof(f212,plain,
( sk_c1 = multiply(sk_c7,identity)
| ~ spl0_1 ),
inference(superposition,[],[f165,f200]) ).
fof(f200,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_1 ),
inference(superposition,[],[f2,f36]) ).
fof(f165,plain,
! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0,
inference(forward_demodulation,[],[f157,f1]) ).
fof(f157,plain,
! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c8,X0)),
inference(superposition,[],[f3,f146]) ).
fof(f36,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f1198,plain,
( spl0_19
| ~ spl0_1
| ~ spl0_7
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f1197,f1008,f63,f34,f1004]) ).
fof(f1004,plain,
( spl0_19
<=> sk_c8 = multiply(sk_c8,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f1197,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_20 ),
inference(forward_demodulation,[],[f229,f1009]) ).
fof(f229,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f207,f65]) ).
fof(f207,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f206,f1]) ).
fof(f206,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f200]) ).
fof(f1191,plain,
( ~ spl0_19
| spl0_14
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f1190,f1008,f117,f1004]) ).
fof(f117,plain,
( spl0_14
<=> sk_c7 = multiply(sk_c8,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1190,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f119,f1009]) ).
fof(f119,plain,
( sk_c7 != multiply(sk_c8,sk_c7)
| spl0_14 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f1129,plain,
( spl0_20
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f1128,f90,f81,f72,f1008]) ).
fof(f1128,plain,
( sk_c8 = sk_c7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f737,f747]) ).
fof(f737,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f92,f450]) ).
fof(f1124,plain,
( spl0_15
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f730,f90,f81,f72,f121]) ).
fof(f121,plain,
( spl0_15
<=> sk_c7 = multiply(sk_c7,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f730,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f450,f92]) ).
fof(f1032,plain,
( ~ spl0_1
| ~ spl0_20
| ~ spl0_1
| ~ spl0_2
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f952,f107,f38,f34,f1008,f34]) ).
fof(f38,plain,
( spl0_2
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f107,plain,
( spl0_13
<=> ! [X8] :
( sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f952,plain,
( sk_c8 != sk_c7
| sk_c8 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_13 ),
inference(forward_demodulation,[],[f912,f240]) ).
fof(f240,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f163,f210]) ).
fof(f210,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,X0)
| ~ spl0_2 ),
inference(superposition,[],[f165,f163]) ).
fof(f163,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f155,f1]) ).
fof(f155,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f147]) ).
fof(f147,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_2 ),
inference(superposition,[],[f2,f40]) ).
fof(f40,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f912,plain,
( sk_c7 != multiply(sk_c8,multiply(sk_c7,sk_c8))
| sk_c8 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_13 ),
inference(superposition,[],[f108,f228]) ).
fof(f108,plain,
( ! [X8] :
( sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != inverse(X8) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f1014,plain,
( ~ spl0_1
| ~ spl0_20
| ~ spl0_1
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f923,f107,f34,f1008,f34]) ).
fof(f923,plain,
( sk_c8 != sk_c7
| sk_c8 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_13 ),
inference(superposition,[],[f108,f207]) ).
fof(f530,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_14
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f529]) ).
fof(f529,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_14
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f528]) ).
fof(f528,plain,
( sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_14
| ~ spl0_17 ),
inference(superposition,[],[f467,f461]) ).
fof(f461,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f455,f65]) ).
fof(f455,plain,
( sk_c7 = multiply(sk_c1,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f276,f449]) ).
fof(f449,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f448,f292]) ).
fof(f292,plain,
( sk_c7 = sk_c1
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[],[f290,f131]) ).
fof(f131,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f130,plain,
( spl0_17
<=> sk_c7 = multiply(sk_c8,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f290,plain,
( sk_c1 = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f207,f273]) ).
fof(f273,plain,
( sk_c8 = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f272,f251]) ).
fof(f251,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl0_2 ),
inference(superposition,[],[f240,f146]) ).
fof(f272,plain,
( multiply(sk_c8,identity) = multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f264,f216]) ).
fof(f216,plain,
( sk_c1 = sk_c4
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f213,f212]) ).
fof(f213,plain,
( sk_c4 = multiply(sk_c7,identity)
| ~ spl0_2 ),
inference(superposition,[],[f165,f147]) ).
fof(f264,plain,
( multiply(sk_c8,identity) = multiply(sk_c4,sk_c1)
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f158,f212]) ).
fof(f158,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c7,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f45]) ).
fof(f45,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl0_3
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f448,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f447,f212]) ).
fof(f447,plain,
( identity = multiply(sk_c7,identity)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f445,f438]) ).
fof(f445,plain,
( multiply(sk_c7,identity) = multiply(sk_c2,sk_c7)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f203,f442]) ).
fof(f276,plain,
( sk_c7 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[],[f275,f131]) ).
fof(f275,plain,
( multiply(sk_c8,sk_c8) = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f266,f216]) ).
fof(f266,plain,
( multiply(sk_c8,sk_c8) = multiply(sk_c4,identity)
| ~ spl0_3 ),
inference(superposition,[],[f158,f146]) ).
fof(f467,plain,
( sk_c8 != sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_14
| ~ spl0_17 ),
inference(superposition,[],[f463,f449]) ).
fof(f463,plain,
( identity != sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f331,f461]) ).
fof(f331,plain,
( identity != sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_14
| ~ spl0_17 ),
inference(superposition,[],[f119,f282]) ).
fof(f282,plain,
( identity = multiply(sk_c8,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_17 ),
inference(superposition,[],[f207,f276]) ).
fof(f527,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f526]) ).
fof(f526,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_16
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f525]) ).
fof(f525,plain,
( sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f484,f461]) ).
fof(f484,plain,
( sk_c8 != sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f474,f482]) ).
fof(f482,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f472,f240]) ).
fof(f472,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c7,X0))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f202,f460]) ).
fof(f460,plain,
( sk_c8 = sk_c1
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f453,f211]) ).
fof(f211,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl0_17 ),
inference(superposition,[],[f165,f131]) ).
fof(f453,plain,
( sk_c1 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f212,f449]) ).
fof(f474,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f219,f460]) ).
fof(f219,plain,
( sk_c7 != multiply(sk_c1,sk_c8)
| ~ spl0_1
| ~ spl0_2
| spl0_16 ),
inference(superposition,[],[f128,f216]) ).
fof(f128,plain,
( sk_c7 != multiply(sk_c4,sk_c8)
| spl0_16 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f126,plain,
( spl0_16
<=> sk_c7 = multiply(sk_c4,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f199,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f198]) ).
fof(f198,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f197]) ).
fof(f197,plain,
( sk_c8 != sk_c8
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_17 ),
inference(superposition,[],[f196,f177]) ).
fof(f177,plain,
( sk_c8 = sk_c7
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f174,f50]) ).
fof(f50,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f48,plain,
( spl0_4
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f174,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f164,f55]) ).
fof(f55,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f53,plain,
( spl0_5
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f164,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f156,f1]) ).
fof(f156,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f148]) ).
fof(f148,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_6 ),
inference(superposition,[],[f2,f60]) ).
fof(f60,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl0_6
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f196,plain,
( sk_c8 != sk_c7
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_17 ),
inference(superposition,[],[f193,f131]) ).
fof(f193,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f192]) ).
fof(f192,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_17 ),
inference(forward_demodulation,[],[f191,f184]) ).
fof(f184,plain,
( identity = sk_c8
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f183,f177]) ).
fof(f183,plain,
( identity = sk_c7
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f180,f131]) ).
fof(f180,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f146,f177]) ).
fof(f191,plain,
( identity != sk_c8
| sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f190,f177]) ).
fof(f190,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| identity != sk_c7
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f150,f177]) ).
fof(f150,plain,
( sk_c7 != multiply(sk_c8,sk_c7)
| identity != sk_c7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f149,f4]) ).
fof(f149,plain,
( identity != sk_c7
| sk_c7 != multiply(sk_c8,inverse(sk_c8))
| ~ spl0_12 ),
inference(superposition,[],[f105,f2]) ).
fof(f105,plain,
( ! [X4] :
( sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c7 != multiply(X4,inverse(X4)) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f104,plain,
( spl0_12
<=> ! [X4] :
( sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c7 != multiply(X4,inverse(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f171,plain,
( ~ spl0_16
| ~ spl0_17
| ~ spl0_2
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f144,f104,f38,f130,f126]) ).
fof(f144,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| sk_c7 != multiply(sk_c4,sk_c8)
| ~ spl0_2
| ~ spl0_12 ),
inference(superposition,[],[f105,f40]) ).
fof(f168,plain,
( spl0_17
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f166,f43,f38,f130]) ).
fof(f166,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f163,f45]) ).
fof(f142,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f141,f107,f58,f53,f48]) ).
fof(f141,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f140]) ).
fof(f140,plain,
( sk_c8 != sk_c8
| sk_c7 != multiply(sk_c8,sk_c6)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f139,f60]) ).
fof(f139,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(sk_c5)
| ~ spl0_5
| ~ spl0_13 ),
inference(superposition,[],[f108,f55]) ).
fof(f124,plain,
( ~ spl0_14
| ~ spl0_15
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f113,f104,f121,f117]) ).
fof(f113,plain,
( sk_c7 != multiply(sk_c7,sk_c8)
| sk_c7 != multiply(sk_c8,sk_c7)
| ~ spl0_12 ),
inference(superposition,[],[f105,f4]) ).
fof(f112,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f111,f101,f43,f38]) ).
fof(f111,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f110]) ).
fof(f110,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_11 ),
inference(superposition,[],[f102,f45]) ).
fof(f109,plain,
( spl0_11
| spl0_12
| spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f99,f107,f101,f104,f101]) ).
fof(f99,plain,
! [X3,X8,X6,X4] :
( sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c7 != multiply(X4,inverse(X4))
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3) ),
inference(trivial_inequality_removal,[],[f98]) ).
fof(f98,plain,
! [X3,X8,X6,X4] :
( sk_c7 != sk_c7
| sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c7 != multiply(X4,inverse(X4))
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3) ),
inference(forward_demodulation,[],[f32,f4]) ).
fof(f32,plain,
! [X3,X8,X6,X4] :
( sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c7 != multiply(X4,inverse(X4))
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3)
| inverse(sk_c8) != sk_c7 ),
inference(equality_resolution,[],[f31]) ).
fof(f31,plain,
! [X3,X8,X6,X4,X5] :
( sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X5,sk_c8)
| inverse(X4) != X5
| sk_c7 != multiply(X4,X5)
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3)
| inverse(sk_c8) != sk_c7 ),
inference(equality_resolution,[],[f30]) ).
fof(f30,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c8 != inverse(X8)
| multiply(X8,sk_c8) != X7
| sk_c7 != multiply(sk_c8,X7)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X5,sk_c8)
| inverse(X4) != X5
| sk_c7 != multiply(X4,X5)
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3)
| inverse(sk_c8) != sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.aDEPovvqqP/Vampire---4.8_12404',prove_this_27) ).
fof(f97,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f29,f58,f90]) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.aDEPovvqqP/Vampire---4.8_12404',prove_this_26) ).
fof(f96,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f28,f53,f90]) ).
fof(f28,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.aDEPovvqqP/Vampire---4.8_12404',prove_this_25) ).
fof(f95,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f27,f48,f90]) ).
fof(f27,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.aDEPovvqqP/Vampire---4.8_12404',prove_this_24) ).
fof(f94,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f26,f43,f90]) ).
fof(f26,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.aDEPovvqqP/Vampire---4.8_12404',prove_this_23) ).
fof(f93,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f25,f38,f90]) ).
fof(f25,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.aDEPovvqqP/Vampire---4.8_12404',prove_this_22) ).
fof(f88,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f24,f58,f81]) ).
fof(f24,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.aDEPovvqqP/Vampire---4.8_12404',prove_this_21) ).
fof(f87,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f23,f53,f81]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.aDEPovvqqP/Vampire---4.8_12404',prove_this_20) ).
fof(f86,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f22,f48,f81]) ).
fof(f22,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.aDEPovvqqP/Vampire---4.8_12404',prove_this_19) ).
fof(f85,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f21,f43,f81]) ).
fof(f21,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.aDEPovvqqP/Vampire---4.8_12404',prove_this_18) ).
fof(f84,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f20,f38,f81]) ).
fof(f20,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.aDEPovvqqP/Vampire---4.8_12404',prove_this_17) ).
fof(f79,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f19,f58,f72]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c7 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.aDEPovvqqP/Vampire---4.8_12404',prove_this_16) ).
fof(f78,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f18,f53,f72]) ).
fof(f18,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c7 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.aDEPovvqqP/Vampire---4.8_12404',prove_this_15) ).
fof(f77,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f17,f48,f72]) ).
fof(f17,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c7 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.aDEPovvqqP/Vampire---4.8_12404',prove_this_14) ).
fof(f76,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f16,f43,f72]) ).
fof(f16,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.aDEPovvqqP/Vampire---4.8_12404',prove_this_13) ).
fof(f75,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f15,f38,f72]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.aDEPovvqqP/Vampire---4.8_12404',prove_this_12) ).
fof(f70,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f58,f63]) ).
fof(f14,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.aDEPovvqqP/Vampire---4.8_12404',prove_this_11) ).
fof(f69,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f13,f53,f63]) ).
fof(f13,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.aDEPovvqqP/Vampire---4.8_12404',prove_this_10) ).
fof(f68,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f12,f48,f63]) ).
fof(f12,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.aDEPovvqqP/Vampire---4.8_12404',prove_this_9) ).
fof(f67,plain,
( spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f11,f43,f63]) ).
fof(f11,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.aDEPovvqqP/Vampire---4.8_12404',prove_this_8) ).
fof(f66,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f10,f38,f63]) ).
fof(f10,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.aDEPovvqqP/Vampire---4.8_12404',prove_this_7) ).
fof(f61,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f9,f58,f34]) ).
fof(f9,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.aDEPovvqqP/Vampire---4.8_12404',prove_this_6) ).
fof(f56,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f8,f53,f34]) ).
fof(f8,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.aDEPovvqqP/Vampire---4.8_12404',prove_this_5) ).
fof(f51,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f7,f48,f34]) ).
fof(f7,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.aDEPovvqqP/Vampire---4.8_12404',prove_this_4) ).
fof(f46,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f6,f43,f34]) ).
fof(f6,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.aDEPovvqqP/Vampire---4.8_12404',prove_this_3) ).
fof(f41,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f5,f38,f34]) ).
fof(f5,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.aDEPovvqqP/Vampire---4.8_12404',prove_this_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP236-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.15 % 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
% 0.15/0.36 % Computer : n018.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 18:36:14 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.aDEPovvqqP/Vampire---4.8_12404
% 0.55/0.76 % (12647)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)
% 0.55/0.76 % (12648)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)
% 0.55/0.76 % (12641)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)
% 0.55/0.76 % (12643)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.76 % (12644)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)
% 0.55/0.76 % (12642)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)
% 0.55/0.76 % (12645)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)
% 0.55/0.76 % (12646)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)
% 0.55/0.76 % (12648)Refutation not found, incomplete strategy% (12648)------------------------------
% 0.55/0.76 % (12648)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76 % (12648)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (12648)Memory used [KB]: 996
% 0.55/0.76 % (12648)Time elapsed: 0.004 s
% 0.55/0.76 % (12648)Instructions burned: 3 (million)
% 0.55/0.76 % (12648)------------------------------
% 0.55/0.76 % (12648)------------------------------
% 0.55/0.76 % (12641)Refutation not found, incomplete strategy% (12641)------------------------------
% 0.55/0.76 % (12641)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76 % (12641)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (12641)Memory used [KB]: 1011
% 0.55/0.76 % (12641)Time elapsed: 0.004 s
% 0.55/0.76 % (12641)Instructions burned: 4 (million)
% 0.60/0.76 % (12641)------------------------------
% 0.60/0.76 % (12641)------------------------------
% 0.60/0.76 % (12645)Refutation not found, incomplete strategy% (12645)------------------------------
% 0.60/0.76 % (12645)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (12645)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (12644)Refutation not found, incomplete strategy% (12644)------------------------------
% 0.60/0.76 % (12644)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (12644)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (12644)Memory used [KB]: 995
% 0.60/0.76 % (12644)Time elapsed: 0.004 s
% 0.60/0.76 % (12644)Instructions burned: 4 (million)
% 0.60/0.76 % (12644)------------------------------
% 0.60/0.76 % (12644)------------------------------
% 0.60/0.76 % (12645)Memory used [KB]: 1011
% 0.60/0.76 % (12645)Time elapsed: 0.004 s
% 0.60/0.76 % (12645)Instructions burned: 4 (million)
% 0.60/0.76 % (12645)------------------------------
% 0.60/0.76 % (12645)------------------------------
% 0.60/0.76 % (12643)Refutation not found, incomplete strategy% (12643)------------------------------
% 0.60/0.76 % (12643)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (12643)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (12643)Memory used [KB]: 1072
% 0.60/0.76 % (12643)Time elapsed: 0.005 s
% 0.60/0.76 % (12643)Instructions burned: 6 (million)
% 0.60/0.76 % (12643)------------------------------
% 0.60/0.76 % (12643)------------------------------
% 0.60/0.77 % (12649)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)
% 0.60/0.77 % (12650)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)
% 0.60/0.77 % (12651)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)
% 0.60/0.77 % (12652)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)
% 0.60/0.77 % (12650)Refutation not found, incomplete strategy% (12650)------------------------------
% 0.60/0.77 % (12650)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77 % (12650)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (12650)Memory used [KB]: 991
% 0.60/0.77 % (12650)Time elapsed: 0.004 s
% 0.60/0.77 % (12650)Instructions burned: 5 (million)
% 0.60/0.77 % (12650)------------------------------
% 0.60/0.77 % (12650)------------------------------
% 0.60/0.77 % (12653)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)
% 0.60/0.77 % (12652)Refutation not found, incomplete strategy% (12652)------------------------------
% 0.60/0.77 % (12652)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77 % (12652)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (12652)Memory used [KB]: 1071
% 0.60/0.77 % (12652)Time elapsed: 0.005 s
% 0.60/0.77 % (12652)Instructions burned: 6 (million)
% 0.60/0.77 % (12652)------------------------------
% 0.60/0.77 % (12652)------------------------------
% 0.60/0.77 % (12651)Refutation not found, incomplete strategy% (12651)------------------------------
% 0.60/0.77 % (12651)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77 % (12651)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (12651)Memory used [KB]: 1090
% 0.60/0.77 % (12651)Time elapsed: 0.007 s
% 0.60/0.77 % (12651)Instructions burned: 8 (million)
% 0.60/0.77 % (12651)------------------------------
% 0.60/0.77 % (12651)------------------------------
% 0.60/0.77 % (12654)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 (2996ds/42Mi)
% 0.60/0.77 % (12655)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 (2996ds/243Mi)
% 0.60/0.78 % (12654)Refutation not found, incomplete strategy% (12654)------------------------------
% 0.60/0.78 % (12654)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (12654)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (12654)Memory used [KB]: 1001
% 0.60/0.78 % (12654)Time elapsed: 0.003 s
% 0.60/0.78 % (12654)Instructions burned: 4 (million)
% 0.60/0.78 % (12654)------------------------------
% 0.60/0.78 % (12654)------------------------------
% 0.60/0.78 % (12656)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 (2996ds/117Mi)
% 0.60/0.78 % (12656)Refutation not found, incomplete strategy% (12656)------------------------------
% 0.60/0.78 % (12656)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (12656)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (12656)Memory used [KB]: 997
% 0.60/0.78 % (12656)Time elapsed: 0.004 s
% 0.60/0.78 % (12656)Instructions burned: 4 (million)
% 0.60/0.78 % (12656)------------------------------
% 0.60/0.78 % (12656)------------------------------
% 0.60/0.78 % (12657)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 (2996ds/143Mi)
% 0.60/0.78 % (12642)First to succeed.
% 0.60/0.78 % (12646)Instruction limit reached!
% 0.60/0.78 % (12646)------------------------------
% 0.60/0.78 % (12646)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (12646)Termination reason: Unknown
% 0.60/0.78 % (12646)Termination phase: Saturation
% 0.60/0.78 % (12647)Instruction limit reached!
% 0.60/0.78 % (12647)------------------------------
% 0.60/0.78 % (12647)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78
% 0.60/0.78 % (12646)Memory used [KB]: 1622
% 0.60/0.78 % (12646)Time elapsed: 0.023 s
% 0.60/0.78 % (12646)Instructions burned: 45 (million)
% 0.60/0.78 % (12646)------------------------------
% 0.60/0.78 % (12646)------------------------------
% 0.60/0.78 % (12647)Termination reason: Unknown
% 0.60/0.78 % (12647)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (12647)Memory used [KB]: 1916
% 0.60/0.78 % (12647)Time elapsed: 0.024 s
% 0.60/0.78 % (12647)Instructions burned: 83 (million)
% 0.60/0.78 % (12647)------------------------------
% 0.60/0.78 % (12647)------------------------------
% 0.60/0.78 % (12657)Refutation not found, incomplete strategy% (12657)------------------------------
% 0.60/0.78 % (12657)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (12657)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (12657)Memory used [KB]: 1012
% 0.60/0.78 % (12657)Time elapsed: 0.003 s
% 0.60/0.78 % (12658)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.60/0.78 % (12657)Instructions burned: 4 (million)
% 0.60/0.78 % (12657)------------------------------
% 0.60/0.78 % (12657)------------------------------
% 0.60/0.78 % (12642)Refutation found. Thanks to Tanya!
% 0.60/0.78 % SZS status Unsatisfiable for Vampire---4
% 0.60/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.79 % (12642)------------------------------
% 0.60/0.79 % (12642)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79 % (12642)Termination reason: Refutation
% 0.60/0.79
% 0.60/0.79 % (12642)Memory used [KB]: 1393
% 0.60/0.79 % (12642)Time elapsed: 0.025 s
% 0.60/0.79 % (12642)Instructions burned: 42 (million)
% 0.60/0.79 % (12642)------------------------------
% 0.60/0.79 % (12642)------------------------------
% 0.60/0.79 % (12637)Success in time 0.404 s
% 0.60/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------