TSTP Solution File: GRP258-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP258-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:21:04 EDT 2022
% Result : Unsatisfiable 2.49s 0.75s
% Output : Refutation 2.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 73
% Syntax : Number of formulae : 334 ( 9 unt; 0 def)
% Number of atoms : 1671 ( 437 equ)
% Maximal formula atoms : 17 ( 5 avg)
% Number of connectives : 2622 (1285 ~;1318 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 119 ( 119 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1235,plain,
$false,
inference(avatar_sat_refutation,[],[f85,f94,f112,f118,f128,f134,f135,f136,f154,f155,f161,f162,f163,f164,f165,f166,f171,f172,f173,f174,f175,f176,f177,f190,f191,f192,f193,f194,f196,f197,f198,f203,f205,f206,f207,f208,f210,f211,f212,f213,f214,f215,f217,f220,f221,f222,f223,f224,f225,f226,f227,f361,f423,f431,f437,f456,f855,f1204,f1214,f1224,f1234]) ).
fof(f1234,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1233]) ).
fof(f1233,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f1232]) ).
fof(f1232,plain,
( sk_c1 != sk_c1
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_20 ),
inference(duplicate_literal_removal,[],[f1229]) ).
fof(f1229,plain,
( sk_c1 != sk_c1
| sk_c1 != sk_c1
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_20 ),
inference(superposition,[],[f1228,f1108]) ).
fof(f1108,plain,
( sk_c1 = inverse(sk_c1)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17 ),
inference(backward_demodulation,[],[f80,f1107]) ).
fof(f1107,plain,
( sk_c1 = sk_c12
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17 ),
inference(backward_demodulation,[],[f1090,f1105]) ).
fof(f1105,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17 ),
inference(backward_demodulation,[],[f1094,f1099]) ).
fof(f1099,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12 ),
inference(backward_demodulation,[],[f467,f1078]) ).
fof(f1078,plain,
( ! [X0] : multiply(sk_c12,X0) = X0
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12 ),
inference(backward_demodulation,[],[f1,f1075]) ).
fof(f1075,plain,
( identity = sk_c12
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1073,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f1073,plain,
( sk_c12 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12 ),
inference(superposition,[],[f250,f880]) ).
fof(f880,plain,
( sk_c11 = multiply(sk_c11,sk_c12)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12 ),
inference(backward_demodulation,[],[f507,f875]) ).
fof(f875,plain,
( sk_c11 = sk_c10
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f111,f507]) ).
fof(f111,plain,
( sk_c11 = multiply(sk_c10,sk_c12)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f109,plain,
( spl0_8
<=> sk_c11 = multiply(sk_c10,sk_c12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f507,plain,
( sk_c10 = multiply(sk_c10,sk_c12)
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_demodulation,[],[f505,f133]) ).
fof(f133,plain,
( sk_c10 = inverse(sk_c3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f131,plain,
( spl0_12
<=> sk_c10 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f505,plain,
( sk_c10 = multiply(inverse(sk_c3),sk_c12)
| ~ spl0_3 ),
inference(superposition,[],[f250,f89]) ).
fof(f89,plain,
( sk_c12 = multiply(sk_c3,sk_c10)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f87,plain,
( spl0_3
<=> sk_c12 = multiply(sk_c3,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f250,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f249,f1]) ).
fof(f249,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f467,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c1,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f250,f80]) ).
fof(f1094,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c3,X0)) = X0
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17 ),
inference(backward_demodulation,[],[f1055,f1082]) ).
fof(f1082,plain,
( sk_c1 = sk_c11
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17 ),
inference(backward_demodulation,[],[f170,f1079]) ).
fof(f1079,plain,
( ! [X4] : multiply(X4,sk_c12) = X4
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12 ),
inference(backward_demodulation,[],[f287,f1075]) ).
fof(f287,plain,
! [X4] : multiply(X4,identity) = X4,
inference(forward_demodulation,[],[f266,f267]) ).
fof(f267,plain,
! [X6,X5] : multiply(X5,X6) = multiply(inverse(inverse(X5)),X6),
inference(superposition,[],[f250,f250]) ).
fof(f266,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f250,f2]) ).
fof(f170,plain,
( multiply(sk_c1,sk_c12) = sk_c11
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f168,plain,
( spl0_17
<=> multiply(sk_c1,sk_c12) = sk_c11 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1055,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c3,X0)) = X0
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12 ),
inference(backward_demodulation,[],[f485,f875]) ).
fof(f485,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c3,X0)) = X0
| ~ spl0_12 ),
inference(superposition,[],[f250,f133]) ).
fof(f1090,plain,
( sk_c12 = multiply(sk_c3,sk_c1)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17 ),
inference(backward_demodulation,[],[f876,f1082]) ).
fof(f876,plain,
( sk_c12 = multiply(sk_c3,sk_c11)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12 ),
inference(backward_demodulation,[],[f89,f875]) ).
fof(f80,plain,
( sk_c12 = inverse(sk_c1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl0_1
<=> sk_c12 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1228,plain,
( ! [X6] :
( sk_c1 != inverse(X6)
| sk_c1 != X6 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1227,f1082]) ).
fof(f1227,plain,
( ! [X6] :
( sk_c11 != X6
| sk_c1 != inverse(X6) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1226,f1115]) ).
fof(f1115,plain,
( ! [X4] : multiply(X4,sk_c1) = X4
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17 ),
inference(backward_demodulation,[],[f1079,f1107]) ).
fof(f1226,plain,
( ! [X6] :
( sk_c11 != multiply(X6,sk_c1)
| sk_c1 != inverse(X6) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1225,f1107]) ).
fof(f1225,plain,
( ! [X6] :
( sk_c1 != inverse(X6)
| sk_c11 != multiply(X6,sk_c12) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_20 ),
inference(forward_demodulation,[],[f186,f1107]) ).
fof(f186,plain,
( ! [X6] :
( sk_c12 != inverse(X6)
| sk_c11 != multiply(X6,sk_c12) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f185,plain,
( spl0_20
<=> ! [X6] :
( sk_c11 != multiply(X6,sk_c12)
| sk_c12 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1224,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1223]) ).
fof(f1223,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f1222]) ).
fof(f1222,plain,
( sk_c1 != sk_c1
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_19 ),
inference(duplicate_literal_removal,[],[f1219]) ).
fof(f1219,plain,
( sk_c1 != sk_c1
| sk_c1 != sk_c1
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f1218,f1108]) ).
fof(f1218,plain,
( ! [X4] :
( sk_c1 != inverse(X4)
| sk_c1 != X4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1217,f1089]) ).
fof(f1089,plain,
( sk_c1 = sk_c10
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17 ),
inference(backward_demodulation,[],[f875,f1082]) ).
fof(f1217,plain,
( ! [X4] :
( sk_c1 != inverse(X4)
| sk_c10 != X4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1216,f1115]) ).
fof(f1216,plain,
( ! [X4] :
( sk_c10 != multiply(X4,sk_c1)
| sk_c1 != inverse(X4) )
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1215,f1082]) ).
fof(f1215,plain,
( ! [X4] :
( sk_c10 != multiply(X4,sk_c11)
| sk_c1 != inverse(X4) )
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f183,f1082]) ).
fof(f183,plain,
( ! [X4] :
( sk_c11 != inverse(X4)
| sk_c10 != multiply(X4,sk_c11) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f182,plain,
( spl0_19
<=> ! [X4] :
( sk_c11 != inverse(X4)
| sk_c10 != multiply(X4,sk_c11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f1214,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1213]) ).
fof(f1213,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f1212]) ).
fof(f1212,plain,
( sk_c1 != sk_c1
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f1209]) ).
fof(f1209,plain,
( sk_c1 != sk_c1
| sk_c1 != sk_c1
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f1208,f1108]) ).
fof(f1208,plain,
( ! [X5] :
( sk_c1 != inverse(X5)
| sk_c1 != X5 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1207,f1107]) ).
fof(f1207,plain,
( ! [X5] :
( sk_c12 != X5
| sk_c1 != inverse(X5) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1206,f1115]) ).
fof(f1206,plain,
( ! [X5] :
( sk_c1 != inverse(X5)
| sk_c12 != multiply(X5,sk_c1) )
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1205,f1089]) ).
fof(f1205,plain,
( ! [X5] :
( sk_c1 != inverse(X5)
| sk_c12 != multiply(X5,sk_c10) )
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f180,f1089]) ).
fof(f180,plain,
( ! [X5] :
( sk_c10 != inverse(X5)
| sk_c12 != multiply(X5,sk_c10) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f179,plain,
( spl0_18
<=> ! [X5] :
( sk_c12 != multiply(X5,sk_c10)
| sk_c10 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1204,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1203]) ).
fof(f1203,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f1202]) ).
fof(f1202,plain,
( sk_c1 != sk_c1
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_21 ),
inference(duplicate_literal_removal,[],[f1199]) ).
fof(f1199,plain,
( sk_c1 != sk_c1
| sk_c1 != sk_c1
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_21 ),
inference(superposition,[],[f1181,f1108]) ).
fof(f1181,plain,
( ! [X0] :
( inverse(X0) != sk_c1
| inverse(X0) != X0 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1180,f1115]) ).
fof(f1180,plain,
( ! [X0] :
( sk_c1 != inverse(multiply(X0,sk_c1))
| inverse(X0) != X0 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f1179]) ).
fof(f1179,plain,
( ! [X0] :
( sk_c1 != sk_c1
| inverse(X0) != X0
| sk_c1 != inverse(multiply(X0,sk_c1)) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1178,f1099]) ).
fof(f1178,plain,
( ! [X0] :
( inverse(X0) != X0
| sk_c1 != multiply(sk_c1,sk_c1)
| sk_c1 != inverse(multiply(X0,sk_c1)) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1175,f1115]) ).
fof(f1175,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c1)
| sk_c1 != multiply(sk_c1,sk_c1)
| sk_c1 != inverse(multiply(X0,sk_c1)) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f1169]) ).
fof(f1169,plain,
( ! [X0] :
( sk_c1 != multiply(sk_c1,sk_c1)
| sk_c1 != inverse(multiply(X0,sk_c1))
| sk_c1 != sk_c1
| inverse(X0) != multiply(X0,sk_c1) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_21 ),
inference(superposition,[],[f1121,f1108]) ).
fof(f1121,plain,
( ! [X10,X8] :
( inverse(X8) != inverse(multiply(X10,inverse(X8)))
| inverse(X10) != multiply(X10,inverse(X8))
| sk_c1 != multiply(X8,inverse(X8))
| sk_c1 != inverse(X8) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1120,f1107]) ).
fof(f1120,plain,
( ! [X10,X8] :
( inverse(X8) != inverse(multiply(X10,inverse(X8)))
| sk_c1 != multiply(X8,inverse(X8))
| inverse(X10) != multiply(X10,inverse(X8))
| sk_c12 != inverse(X8) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1117,f1115]) ).
fof(f1117,plain,
( ! [X10,X8] :
( sk_c12 != multiply(inverse(X8),sk_c1)
| inverse(X8) != inverse(multiply(X10,inverse(X8)))
| sk_c1 != multiply(X8,inverse(X8))
| inverse(X10) != multiply(X10,inverse(X8)) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_21 ),
inference(backward_demodulation,[],[f1087,f1107]) ).
fof(f1087,plain,
( ! [X10,X8] :
( sk_c12 != multiply(inverse(X8),sk_c1)
| sk_c12 != multiply(X8,inverse(X8))
| inverse(X10) != multiply(X10,inverse(X8))
| inverse(X8) != inverse(multiply(X10,inverse(X8))) )
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12
| ~ spl0_17
| ~ spl0_21 ),
inference(backward_demodulation,[],[f189,f1082]) ).
fof(f189,plain,
( ! [X10,X8] :
( sk_c12 != multiply(inverse(X8),sk_c11)
| sk_c12 != multiply(X8,inverse(X8))
| inverse(X8) != inverse(multiply(X10,inverse(X8)))
| inverse(X10) != multiply(X10,inverse(X8)) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f188,plain,
( spl0_21
<=> ! [X8,X10] :
( sk_c12 != multiply(X8,inverse(X8))
| inverse(X8) != inverse(multiply(X10,inverse(X8)))
| inverse(X10) != multiply(X10,inverse(X8))
| sk_c12 != multiply(inverse(X8),sk_c11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f855,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f854]) ).
fof(f854,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| spl0_15 ),
inference(trivial_inequality_removal,[],[f853]) ).
fof(f853,plain,
( sk_c1 != sk_c1
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| spl0_15 ),
inference(forward_demodulation,[],[f843,f852]) ).
fof(f852,plain,
( sk_c1 = inverse(sk_c5)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f847,f833]) ).
fof(f833,plain,
( ! [X4] : multiply(X4,sk_c1) = X4
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(backward_demodulation,[],[f800,f828]) ).
fof(f828,plain,
( sk_c1 = sk_c4
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f820,f794]) ).
fof(f794,plain,
( ! [X0] : multiply(sk_c12,X0) = X0
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(backward_demodulation,[],[f775,f781]) ).
fof(f781,plain,
( sk_c12 = sk_c11
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(backward_demodulation,[],[f772,f775]) ).
fof(f772,plain,
( sk_c11 = multiply(sk_c11,sk_c12)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f475,f770]) ).
fof(f770,plain,
( sk_c11 = multiply(inverse(sk_c5),sk_c11)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f271,f509]) ).
fof(f509,plain,
( sk_c11 = sk_c10
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f508,f458]) ).
fof(f458,plain,
( sk_c11 = multiply(sk_c5,multiply(sk_c11,sk_c12))
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f111,f235]) ).
fof(f235,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| ~ spl0_4 ),
inference(superposition,[],[f3,f93]) ).
fof(f93,plain,
( multiply(sk_c5,sk_c11) = sk_c10
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl0_4
<=> multiply(sk_c5,sk_c11) = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f508,plain,
( sk_c10 = multiply(sk_c5,multiply(sk_c11,sk_c12))
| ~ spl0_3
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[],[f507,f235]) ).
fof(f271,plain,
( sk_c11 = multiply(inverse(sk_c5),sk_c10)
| ~ spl0_4 ),
inference(superposition,[],[f250,f93]) ).
fof(f475,plain,
( multiply(inverse(sk_c5),sk_c11) = multiply(sk_c11,sk_c12)
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f250,f458]) ).
fof(f775,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f238,f681]) ).
fof(f681,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c12,X0)) = X0
| ~ spl0_11 ),
inference(superposition,[],[f250,f288]) ).
fof(f288,plain,
( sk_c4 = inverse(sk_c12)
| ~ spl0_11 ),
inference(backward_demodulation,[],[f268,f287]) ).
fof(f268,plain,
( sk_c4 = multiply(inverse(sk_c12),identity)
| ~ spl0_11 ),
inference(superposition,[],[f250,f244]) ).
fof(f244,plain,
( identity = multiply(sk_c12,sk_c4)
| ~ spl0_11 ),
inference(superposition,[],[f2,f127]) ).
fof(f127,plain,
( sk_c12 = inverse(sk_c4)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl0_11
<=> sk_c12 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f238,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c12,X0)) = multiply(sk_c11,X0)
| ~ spl0_9 ),
inference(superposition,[],[f3,f117]) ).
fof(f117,plain,
( sk_c11 = multiply(sk_c4,sk_c12)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f115,plain,
( spl0_9
<=> sk_c11 = multiply(sk_c4,sk_c12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f820,plain,
( sk_c4 = multiply(sk_c12,sk_c1)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f803,f80]) ).
fof(f803,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c4
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(backward_demodulation,[],[f2,f798]) ).
fof(f798,plain,
( identity = sk_c4
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(backward_demodulation,[],[f244,f794]) ).
fof(f800,plain,
( ! [X4] : multiply(X4,sk_c4) = X4
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(backward_demodulation,[],[f287,f798]) ).
fof(f847,plain,
( sk_c1 = multiply(inverse(sk_c5),sk_c1)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(backward_demodulation,[],[f793,f837]) ).
fof(f837,plain,
( sk_c1 = sk_c12
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f836,f797]) ).
fof(f797,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(backward_demodulation,[],[f467,f794]) ).
fof(f836,plain,
( sk_c1 = multiply(sk_c1,sk_c12)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f821,f828]) ).
fof(f821,plain,
( sk_c4 = multiply(sk_c4,sk_c12)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f803,f288]) ).
fof(f793,plain,
( sk_c12 = multiply(inverse(sk_c5),sk_c12)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(backward_demodulation,[],[f770,f781]) ).
fof(f843,plain,
( sk_c1 != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| spl0_15 ),
inference(backward_demodulation,[],[f785,f837]) ).
fof(f785,plain,
( sk_c12 != inverse(sk_c5)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| spl0_15 ),
inference(backward_demodulation,[],[f150,f781]) ).
fof(f150,plain,
( sk_c11 != inverse(sk_c5)
| spl0_15 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f149,plain,
( spl0_15
<=> sk_c11 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f456,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f455]) ).
fof(f455,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f454]) ).
fof(f454,plain,
( sk_c12 != sk_c12
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_21 ),
inference(duplicate_literal_removal,[],[f453]) ).
fof(f453,plain,
( sk_c12 != sk_c12
| sk_c12 != sk_c12
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_21 ),
inference(superposition,[],[f452,f357]) ).
fof(f357,plain,
( sk_c12 = inverse(sk_c12)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16 ),
inference(backward_demodulation,[],[f127,f353]) ).
fof(f353,plain,
( sk_c12 = sk_c4
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f352,f288]) ).
fof(f352,plain,
( sk_c12 = inverse(sk_c12)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16 ),
inference(backward_demodulation,[],[f338,f350]) ).
fof(f350,plain,
( sk_c12 = sk_c6
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f344,f302]) ).
fof(f302,plain,
( ! [X0] : multiply(sk_c12,X0) = X0
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14
| ~ spl0_16 ),
inference(backward_demodulation,[],[f1,f301]) ).
fof(f301,plain,
( identity = sk_c12
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f300,f144]) ).
fof(f144,plain,
( sk_c12 = multiply(sk_c9,sk_c11)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f142,plain,
( spl0_14
<=> sk_c12 = multiply(sk_c9,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f300,plain,
( identity = multiply(sk_c9,sk_c11)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14
| ~ spl0_16 ),
inference(backward_demodulation,[],[f294,f299]) ).
fof(f299,plain,
( sk_c11 = multiply(sk_c9,sk_c9)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f298,f281]) ).
fof(f281,plain,
( sk_c9 = multiply(sk_c9,sk_c12)
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[],[f273,f159]) ).
fof(f159,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f157,plain,
( spl0_16
<=> sk_c9 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f273,plain,
( sk_c9 = multiply(inverse(sk_c6),sk_c12)
| ~ spl0_7 ),
inference(superposition,[],[f250,f107]) ).
fof(f107,plain,
( sk_c12 = multiply(sk_c6,sk_c9)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl0_7
<=> sk_c12 = multiply(sk_c6,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f298,plain,
( sk_c11 = multiply(sk_c9,multiply(sk_c9,sk_c12))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f297,f293]) ).
fof(f293,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c9,multiply(sk_c9,X0))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10 ),
inference(backward_demodulation,[],[f231,f290]) ).
fof(f290,plain,
( sk_c9 = sk_c8
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10 ),
inference(backward_demodulation,[],[f284,f287]) ).
fof(f284,plain,
( sk_c9 = multiply(sk_c8,identity)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f283,f248]) ).
fof(f248,plain,
( identity = multiply(sk_c9,sk_c7)
| ~ spl0_5 ),
inference(superposition,[],[f2,f98]) ).
fof(f98,plain,
( sk_c9 = inverse(sk_c7)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl0_5
<=> sk_c9 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f283,plain,
( sk_c9 = multiply(sk_c8,multiply(sk_c9,sk_c7))
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f282,f231]) ).
fof(f282,plain,
( sk_c9 = multiply(sk_c7,sk_c7)
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f275,f122]) ).
fof(f122,plain,
( inverse(sk_c8) = sk_c7
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f120,plain,
( spl0_10
<=> inverse(sk_c8) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f275,plain,
( sk_c9 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_2 ),
inference(superposition,[],[f250,f84]) ).
fof(f84,plain,
( sk_c7 = multiply(sk_c8,sk_c9)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f82,plain,
( spl0_2
<=> sk_c7 = multiply(sk_c8,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f231,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c9,X0)) = multiply(sk_c7,X0)
| ~ spl0_2 ),
inference(superposition,[],[f3,f84]) ).
fof(f297,plain,
( sk_c11 = multiply(sk_c7,sk_c12)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_14 ),
inference(backward_demodulation,[],[f274,f292]) ).
fof(f292,plain,
( sk_c7 = inverse(sk_c9)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10 ),
inference(backward_demodulation,[],[f122,f290]) ).
fof(f274,plain,
( sk_c11 = multiply(inverse(sk_c9),sk_c12)
| ~ spl0_14 ),
inference(superposition,[],[f250,f144]) ).
fof(f294,plain,
( identity = multiply(sk_c9,multiply(sk_c9,sk_c9))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10 ),
inference(backward_demodulation,[],[f251,f290]) ).
fof(f251,plain,
( identity = multiply(sk_c8,multiply(sk_c9,sk_c8))
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f247,f231]) ).
fof(f247,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_10 ),
inference(superposition,[],[f2,f122]) ).
fof(f344,plain,
( sk_c12 = multiply(sk_c12,sk_c6)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16 ),
inference(backward_demodulation,[],[f306,f335]) ).
fof(f335,plain,
( sk_c12 = sk_c9
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f326,f281]) ).
fof(f326,plain,
( sk_c12 = multiply(sk_c9,sk_c12)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16 ),
inference(backward_demodulation,[],[f144,f324]) ).
fof(f324,plain,
( sk_c12 = sk_c11
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16 ),
inference(backward_demodulation,[],[f315,f318]) ).
fof(f318,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f313,f311]) ).
fof(f311,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c4,X0)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_16 ),
inference(backward_demodulation,[],[f238,f302]) ).
fof(f313,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16 ),
inference(backward_demodulation,[],[f256,f302]) ).
fof(f256,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c4,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f255,f1]) ).
fof(f255,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c12,multiply(sk_c4,X0))
| ~ spl0_11 ),
inference(superposition,[],[f3,f244]) ).
fof(f315,plain,
( sk_c11 = multiply(sk_c11,sk_c12)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_16 ),
inference(backward_demodulation,[],[f117,f311]) ).
fof(f306,plain,
( sk_c12 = multiply(sk_c9,sk_c6)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14
| ~ spl0_16 ),
inference(backward_demodulation,[],[f246,f301]) ).
fof(f246,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl0_16 ),
inference(superposition,[],[f2,f159]) ).
fof(f338,plain,
( sk_c12 = inverse(sk_c6)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16 ),
inference(backward_demodulation,[],[f159,f335]) ).
fof(f452,plain,
( ! [X0] :
( inverse(X0) != sk_c12
| inverse(X0) != X0 )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_21 ),
inference(forward_demodulation,[],[f451,f309]) ).
fof(f309,plain,
( ! [X4] : multiply(X4,sk_c12) = X4
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14
| ~ spl0_16 ),
inference(backward_demodulation,[],[f287,f301]) ).
fof(f451,plain,
( ! [X0] :
( inverse(X0) != sk_c12
| inverse(X0) != multiply(X0,sk_c12) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_21 ),
inference(forward_demodulation,[],[f450,f309]) ).
fof(f450,plain,
( ! [X0] :
( sk_c12 != inverse(multiply(X0,sk_c12))
| inverse(X0) != multiply(X0,sk_c12) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f449]) ).
fof(f449,plain,
( ! [X0] :
( sk_c12 != inverse(multiply(X0,sk_c12))
| sk_c12 != sk_c12
| inverse(X0) != multiply(X0,sk_c12) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_21 ),
inference(forward_demodulation,[],[f444,f302]) ).
fof(f444,plain,
( ! [X0] :
( sk_c12 != multiply(sk_c12,sk_c12)
| inverse(X0) != multiply(X0,sk_c12)
| sk_c12 != inverse(multiply(X0,sk_c12)) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f440]) ).
fof(f440,plain,
( ! [X0] :
( sk_c12 != inverse(multiply(X0,sk_c12))
| sk_c12 != multiply(sk_c12,sk_c12)
| sk_c12 != sk_c12
| inverse(X0) != multiply(X0,sk_c12) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_21 ),
inference(superposition,[],[f439,f357]) ).
fof(f439,plain,
( ! [X10,X8] :
( inverse(X8) != inverse(multiply(X10,inverse(X8)))
| sk_c12 != inverse(X8)
| inverse(X10) != multiply(X10,inverse(X8))
| sk_c12 != multiply(X8,inverse(X8)) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_21 ),
inference(forward_demodulation,[],[f438,f309]) ).
fof(f438,plain,
( ! [X10,X8] :
( sk_c12 != multiply(inverse(X8),sk_c12)
| sk_c12 != multiply(X8,inverse(X8))
| inverse(X10) != multiply(X10,inverse(X8))
| inverse(X8) != inverse(multiply(X10,inverse(X8))) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_21 ),
inference(forward_demodulation,[],[f189,f324]) ).
fof(f437,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f436]) ).
fof(f436,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f435]) ).
fof(f435,plain,
( sk_c12 != sk_c12
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_20 ),
inference(duplicate_literal_removal,[],[f434]) ).
fof(f434,plain,
( sk_c12 != sk_c12
| sk_c12 != sk_c12
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_20 ),
inference(superposition,[],[f433,f357]) ).
fof(f433,plain,
( ! [X6] :
( sk_c12 != inverse(X6)
| sk_c12 != X6 )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f432,f324]) ).
fof(f432,plain,
( ! [X6] :
( sk_c11 != X6
| sk_c12 != inverse(X6) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f186,f309]) ).
fof(f431,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f430]) ).
fof(f430,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f429]) ).
fof(f429,plain,
( sk_c12 != sk_c12
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19 ),
inference(duplicate_literal_removal,[],[f428]) ).
fof(f428,plain,
( sk_c12 != sk_c12
| sk_c12 != sk_c12
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19 ),
inference(superposition,[],[f427,f357]) ).
fof(f427,plain,
( ! [X4] :
( sk_c12 != inverse(X4)
| sk_c12 != X4 )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[],[f426,f358]) ).
fof(f358,plain,
( sk_c12 = sk_c10
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f354,f302]) ).
fof(f354,plain,
( sk_c10 = multiply(sk_c12,sk_c12)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(backward_demodulation,[],[f333,f353]) ).
fof(f333,plain,
( multiply(sk_c4,sk_c12) = sk_c10
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f325,f332]) ).
fof(f332,plain,
( sk_c4 = sk_c5
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f328,f288]) ).
fof(f328,plain,
( sk_c5 = inverse(sk_c12)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(backward_demodulation,[],[f289,f324]) ).
fof(f289,plain,
( sk_c5 = inverse(sk_c11)
| ~ spl0_15 ),
inference(backward_demodulation,[],[f269,f287]) ).
fof(f269,plain,
( sk_c5 = multiply(inverse(sk_c11),identity)
| ~ spl0_15 ),
inference(superposition,[],[f250,f245]) ).
fof(f245,plain,
( identity = multiply(sk_c11,sk_c5)
| ~ spl0_15 ),
inference(superposition,[],[f2,f151]) ).
fof(f151,plain,
( sk_c11 = inverse(sk_c5)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f325,plain,
( sk_c10 = multiply(sk_c5,sk_c12)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16 ),
inference(backward_demodulation,[],[f93,f324]) ).
fof(f426,plain,
( ! [X4] :
( sk_c10 != X4
| sk_c12 != inverse(X4) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[],[f425,f309]) ).
fof(f425,plain,
( ! [X4] :
( sk_c10 != multiply(X4,sk_c12)
| sk_c12 != inverse(X4) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[],[f424,f324]) ).
fof(f424,plain,
( ! [X4] :
( sk_c11 != inverse(X4)
| sk_c10 != multiply(X4,sk_c12) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[],[f183,f324]) ).
fof(f423,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f422]) ).
fof(f422,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f421]) ).
fof(f421,plain,
( sk_c12 != sk_c12
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f420]) ).
fof(f420,plain,
( sk_c12 != sk_c12
| sk_c12 != sk_c12
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(superposition,[],[f407,f357]) ).
fof(f407,plain,
( ! [X5] :
( sk_c12 != inverse(X5)
| sk_c12 != X5 )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f406,f309]) ).
fof(f406,plain,
( ! [X5] :
( sk_c12 != inverse(X5)
| sk_c12 != multiply(X5,sk_c12) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f405,f358]) ).
fof(f405,plain,
( ! [X5] :
( sk_c12 != inverse(X5)
| sk_c12 != multiply(X5,sk_c10) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f180,f358]) ).
fof(f361,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f360]) ).
fof(f360,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f359]) ).
fof(f359,plain,
( sk_c12 != sk_c12
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(backward_demodulation,[],[f330,f358]) ).
fof(f330,plain,
( sk_c12 != sk_c10
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16 ),
inference(backward_demodulation,[],[f317,f324]) ).
fof(f317,plain,
( sk_c11 != sk_c10
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f316,f93]) ).
fof(f316,plain,
( sk_c11 != multiply(sk_c5,sk_c11)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_16 ),
inference(backward_demodulation,[],[f236,f315]) ).
fof(f236,plain,
( sk_c11 != multiply(sk_c5,multiply(sk_c11,sk_c12))
| ~ spl0_4
| spl0_8 ),
inference(backward_demodulation,[],[f110,f235]) ).
fof(f110,plain,
( sk_c11 != multiply(sk_c10,sk_c12)
| spl0_8 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f227,plain,
( spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f18,f105,f78]) ).
fof(f18,axiom,
( sk_c12 = multiply(sk_c6,sk_c9)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f226,plain,
( spl0_2
| spl0_17 ),
inference(avatar_split_clause,[],[f13,f168,f82]) ).
fof(f13,axiom,
( multiply(sk_c1,sk_c12) = sk_c11
| sk_c7 = multiply(sk_c8,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f225,plain,
( spl0_5
| spl0_17 ),
inference(avatar_split_clause,[],[f12,f168,f96]) ).
fof(f12,axiom,
( multiply(sk_c1,sk_c12) = sk_c11
| sk_c9 = inverse(sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f224,plain,
( spl0_16
| spl0_8 ),
inference(avatar_split_clause,[],[f49,f109,f157]) ).
fof(f49,axiom,
( sk_c11 = multiply(sk_c10,sk_c12)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f223,plain,
( spl0_4
| spl0_17 ),
inference(avatar_split_clause,[],[f6,f168,f91]) ).
fof(f6,axiom,
( multiply(sk_c1,sk_c12) = sk_c11
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f222,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f64,f131,f115]) ).
fof(f64,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c11 = multiply(sk_c4,sk_c12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_61) ).
fof(f221,plain,
( spl0_5
| spl0_3 ),
inference(avatar_split_clause,[],[f62,f87,f96]) ).
fof(f62,axiom,
( sk_c12 = multiply(sk_c3,sk_c10)
| sk_c9 = inverse(sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_59) ).
fof(f220,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f63,f82,f87]) ).
fof(f63,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c12 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_60) ).
fof(f217,plain,
( spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f46,f109,f91]) ).
fof(f46,axiom,
( sk_c11 = multiply(sk_c10,sk_c12)
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f215,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f52,f96,f109]) ).
fof(f52,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c11 = multiply(sk_c10,sk_c12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
fof(f214,plain,
( spl0_16
| spl0_1 ),
inference(avatar_split_clause,[],[f19,f78,f157]) ).
fof(f19,axiom,
( sk_c12 = inverse(sk_c1)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f213,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f65,f131,f125]) ).
fof(f65,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c12 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_62) ).
fof(f212,plain,
( spl0_15
| spl0_17 ),
inference(avatar_split_clause,[],[f7,f168,f149]) ).
fof(f7,axiom,
( multiply(sk_c1,sk_c12) = sk_c11
| sk_c11 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f211,plain,
( spl0_12
| spl0_16 ),
inference(avatar_split_clause,[],[f69,f157,f131]) ).
fof(f69,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_66) ).
fof(f210,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f67,f149,f131]) ).
fof(f67,axiom,
( sk_c11 = inverse(sk_c5)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_64) ).
fof(f208,plain,
( spl0_14
| spl0_12 ),
inference(avatar_split_clause,[],[f70,f131,f142]) ).
fof(f70,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c12 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_67) ).
fof(f207,plain,
( spl0_15
| spl0_8 ),
inference(avatar_split_clause,[],[f47,f109,f149]) ).
fof(f47,axiom,
( sk_c11 = multiply(sk_c10,sk_c12)
| sk_c11 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
fof(f206,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f53,f82,f109]) ).
fof(f53,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c11 = multiply(sk_c10,sk_c12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_50) ).
fof(f205,plain,
( spl0_17
| spl0_10 ),
inference(avatar_split_clause,[],[f11,f120,f168]) ).
fof(f11,axiom,
( inverse(sk_c8) = sk_c7
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f203,plain,
( spl0_14
| spl0_17 ),
inference(avatar_split_clause,[],[f10,f168,f142]) ).
fof(f10,axiom,
( multiply(sk_c1,sk_c12) = sk_c11
| sk_c12 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f198,plain,
( spl0_10
| spl0_1 ),
inference(avatar_split_clause,[],[f21,f78,f120]) ).
fof(f21,axiom,
( sk_c12 = inverse(sk_c1)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f197,plain,
( spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f16,f78,f91]) ).
fof(f16,axiom,
( sk_c12 = inverse(sk_c1)
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f196,plain,
( spl0_16
| spl0_3 ),
inference(avatar_split_clause,[],[f59,f87,f157]) ).
fof(f59,axiom,
( sk_c12 = multiply(sk_c3,sk_c10)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_56) ).
fof(f194,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f50,f142,f109]) ).
fof(f50,axiom,
( sk_c12 = multiply(sk_c9,sk_c11)
| sk_c11 = multiply(sk_c10,sk_c12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
fof(f193,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f60,f142,f87]) ).
fof(f60,axiom,
( sk_c12 = multiply(sk_c9,sk_c11)
| sk_c12 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_57) ).
fof(f192,plain,
( spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f57,f149,f87]) ).
fof(f57,axiom,
( sk_c11 = inverse(sk_c5)
| sk_c12 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_54) ).
fof(f191,plain,
( spl0_1
| spl0_11 ),
inference(avatar_split_clause,[],[f15,f125,f78]) ).
fof(f15,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f190,plain,
( ~ spl0_8
| spl0_18
| spl0_19
| spl0_20
| spl0_19
| spl0_21
| spl0_20 ),
inference(avatar_split_clause,[],[f76,f185,f188,f182,f185,f182,f179,f109]) ).
fof(f76,plain,
! [X3,X10,X8,X6,X7,X4,X5] :
( sk_c12 != inverse(X3)
| sk_c12 != multiply(X8,inverse(X8))
| sk_c11 != multiply(X3,sk_c12)
| sk_c12 != multiply(inverse(X8),sk_c11)
| inverse(X10) != multiply(X10,inverse(X8))
| sk_c11 != inverse(X7)
| sk_c11 != multiply(X6,sk_c12)
| sk_c11 != inverse(X4)
| sk_c12 != multiply(X5,sk_c10)
| sk_c10 != multiply(X4,sk_c11)
| sk_c11 != multiply(sk_c10,sk_c12)
| sk_c10 != inverse(X5)
| sk_c10 != multiply(X7,sk_c11)
| inverse(X8) != inverse(multiply(X10,inverse(X8)))
| sk_c12 != inverse(X6) ),
inference(equality_resolution,[],[f75]) ).
fof(f75,plain,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c12 != multiply(X9,sk_c11)
| sk_c12 != inverse(X3)
| sk_c10 != inverse(X5)
| sk_c11 != multiply(X6,sk_c12)
| sk_c11 != multiply(X3,sk_c12)
| inverse(X10) != multiply(X10,X9)
| sk_c12 != multiply(X8,X9)
| sk_c10 != multiply(X4,sk_c11)
| sk_c11 != multiply(sk_c10,sk_c12)
| sk_c11 != inverse(X7)
| sk_c12 != inverse(X6)
| inverse(X8) != X9
| sk_c11 != inverse(X4)
| inverse(multiply(X10,X9)) != X9
| sk_c10 != multiply(X7,sk_c11)
| sk_c12 != multiply(X5,sk_c10) ),
inference(equality_resolution,[],[f74]) ).
fof(f74,axiom,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( sk_c12 != multiply(X9,sk_c11)
| sk_c12 != inverse(X3)
| sk_c10 != inverse(X5)
| multiply(X10,X9) != X11
| sk_c11 != multiply(X6,sk_c12)
| sk_c11 != multiply(X3,sk_c12)
| inverse(X10) != X11
| sk_c12 != multiply(X8,X9)
| sk_c10 != multiply(X4,sk_c11)
| sk_c11 != multiply(sk_c10,sk_c12)
| sk_c11 != inverse(X7)
| sk_c12 != inverse(X6)
| inverse(X8) != X9
| sk_c11 != inverse(X4)
| inverse(X11) != X9
| sk_c10 != multiply(X7,sk_c11)
| sk_c12 != multiply(X5,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_71) ).
fof(f177,plain,
( spl0_17
| spl0_16 ),
inference(avatar_split_clause,[],[f9,f157,f168]) ).
fof(f9,axiom,
( sk_c9 = inverse(sk_c6)
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f176,plain,
( spl0_17
| spl0_11 ),
inference(avatar_split_clause,[],[f5,f125,f168]) ).
fof(f5,axiom,
( sk_c12 = inverse(sk_c4)
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f175,plain,
( spl0_12
| spl0_4 ),
inference(avatar_split_clause,[],[f66,f91,f131]) ).
fof(f66,axiom,
( multiply(sk_c5,sk_c11) = sk_c10
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_63) ).
fof(f174,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f72,f96,f131]) ).
fof(f72,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_69) ).
fof(f173,plain,
( spl0_7
| spl0_17 ),
inference(avatar_split_clause,[],[f8,f168,f105]) ).
fof(f8,axiom,
( multiply(sk_c1,sk_c12) = sk_c11
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f172,plain,
( spl0_9
| spl0_1 ),
inference(avatar_split_clause,[],[f14,f78,f115]) ).
fof(f14,axiom,
( sk_c12 = inverse(sk_c1)
| sk_c11 = multiply(sk_c4,sk_c12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f171,plain,
( spl0_9
| spl0_17 ),
inference(avatar_split_clause,[],[f4,f168,f115]) ).
fof(f4,axiom,
( multiply(sk_c1,sk_c12) = sk_c11
| sk_c11 = multiply(sk_c4,sk_c12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f166,plain,
( spl0_14
| spl0_1 ),
inference(avatar_split_clause,[],[f20,f78,f142]) ).
fof(f20,axiom,
( sk_c12 = inverse(sk_c1)
| sk_c12 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f165,plain,
( spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f58,f87,f105]) ).
fof(f58,axiom,
( sk_c12 = multiply(sk_c3,sk_c10)
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_55) ).
fof(f164,plain,
( spl0_15
| spl0_1 ),
inference(avatar_split_clause,[],[f17,f78,f149]) ).
fof(f17,axiom,
( sk_c12 = inverse(sk_c1)
| sk_c11 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f163,plain,
( spl0_2
| spl0_12 ),
inference(avatar_split_clause,[],[f73,f131,f82]) ).
fof(f73,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c7 = multiply(sk_c8,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_70) ).
fof(f162,plain,
( spl0_8
| spl0_11 ),
inference(avatar_split_clause,[],[f45,f125,f109]) ).
fof(f45,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c11 = multiply(sk_c10,sk_c12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f161,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f68,f131,f105]) ).
fof(f68,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_65) ).
fof(f155,plain,
( spl0_5
| spl0_1 ),
inference(avatar_split_clause,[],[f22,f78,f96]) ).
fof(f22,axiom,
( sk_c12 = inverse(sk_c1)
| sk_c9 = inverse(sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f154,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f54,f87,f115]) ).
fof(f54,axiom,
( sk_c12 = multiply(sk_c3,sk_c10)
| sk_c11 = multiply(sk_c4,sk_c12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
fof(f136,plain,
( spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f61,f120,f87]) ).
fof(f61,axiom,
( inverse(sk_c8) = sk_c7
| sk_c12 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_58) ).
fof(f135,plain,
( spl0_8
| spl0_10 ),
inference(avatar_split_clause,[],[f51,f120,f109]) ).
fof(f51,axiom,
( inverse(sk_c8) = sk_c7
| sk_c11 = multiply(sk_c10,sk_c12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).
fof(f134,plain,
( spl0_12
| spl0_10 ),
inference(avatar_split_clause,[],[f71,f120,f131]) ).
fof(f71,axiom,
( inverse(sk_c8) = sk_c7
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_68) ).
fof(f128,plain,
( spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f55,f125,f87]) ).
fof(f55,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c12 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_52) ).
fof(f118,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f44,f109,f115]) ).
fof(f44,axiom,
( sk_c11 = multiply(sk_c10,sk_c12)
| sk_c11 = multiply(sk_c4,sk_c12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f112,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f48,f109,f105]) ).
fof(f48,axiom,
( sk_c11 = multiply(sk_c10,sk_c12)
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f94,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f56,f91,f87]) ).
fof(f56,axiom,
( multiply(sk_c5,sk_c11) = sk_c10
| sk_c12 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_53) ).
fof(f85,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f23,f82,f78]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP258-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 22:32:03 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.55 % (24257)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.55 % (24256)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.56 % (24257)Instruction limit reached!
% 0.21/0.56 % (24257)------------------------------
% 0.21/0.56 % (24257)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (24272)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.56 % (24273)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.57 % (24264)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.57 % (24265)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.57 TRYING [1]
% 0.21/0.57 % (24257)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (24257)Termination reason: Unknown
% 0.21/0.58 % (24257)Termination phase: Saturation
% 0.21/0.58
% 0.21/0.58 % (24257)Memory used [KB]: 5628
% 0.21/0.58 % (24257)Time elapsed: 0.134 s
% 0.21/0.58 % (24257)Instructions burned: 8 (million)
% 0.21/0.58 % (24257)------------------------------
% 0.21/0.58 % (24257)------------------------------
% 0.21/0.59 TRYING [2]
% 1.63/0.60 TRYING [3]
% 1.63/0.61 % (24253)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.99/0.61 % (24252)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.99/0.61 % (24267)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.99/0.61 % (24254)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.99/0.62 % (24250)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.99/0.62 % (24276)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.99/0.62 % (24269)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.99/0.62 % (24259)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.99/0.62 % (24268)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.99/0.62 % (24274)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.99/0.63 % (24261)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.99/0.63 % (24251)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.99/0.63 % (24262)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.99/0.63 % (24277)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.99/0.63 % (24260)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.99/0.63 % (24255)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.99/0.63 % (24266)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.99/0.63 % (24275)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.99/0.63 % (24256)Instruction limit reached!
% 1.99/0.63 % (24256)------------------------------
% 1.99/0.63 % (24256)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.63 % (24256)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.63 % (24256)Termination reason: Unknown
% 1.99/0.63 % (24256)Termination phase: Finite model building SAT solving
% 1.99/0.63
% 1.99/0.63 % (24256)Memory used [KB]: 6652
% 1.99/0.63 % (24256)Time elapsed: 0.181 s
% 1.99/0.63 % (24256)Instructions burned: 51 (million)
% 1.99/0.63 % (24256)------------------------------
% 1.99/0.63 % (24256)------------------------------
% 1.99/0.64 % (24258)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.99/0.64 % (24271)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.99/0.64 % (24258)Instruction limit reached!
% 1.99/0.64 % (24258)------------------------------
% 1.99/0.64 % (24258)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.64 % (24258)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.64 % (24258)Termination reason: Unknown
% 1.99/0.64 % (24258)Termination phase: Saturation
% 1.99/0.64
% 1.99/0.64 % (24258)Memory used [KB]: 5373
% 1.99/0.64 % (24258)Time elapsed: 0.003 s
% 1.99/0.64 % (24258)Instructions burned: 3 (million)
% 1.99/0.64 % (24258)------------------------------
% 1.99/0.64 % (24258)------------------------------
% 1.99/0.64 TRYING [1]
% 1.99/0.64 TRYING [2]
% 1.99/0.64 % (24270)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.99/0.64 TRYING [1]
% 1.99/0.64 TRYING [2]
% 1.99/0.65 % (24279)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.99/0.65 % (24278)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.99/0.65 % (24263)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.99/0.67 % (24265)Instruction limit reached!
% 1.99/0.67 % (24265)------------------------------
% 1.99/0.67 % (24265)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.67 % (24265)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.67 % (24265)Termination reason: Unknown
% 1.99/0.67 % (24265)Termination phase: Saturation
% 1.99/0.67
% 1.99/0.67 % (24265)Memory used [KB]: 1663
% 1.99/0.67 % (24265)Time elapsed: 0.228 s
% 1.99/0.67 % (24265)Instructions burned: 75 (million)
% 1.99/0.67 % (24265)------------------------------
% 1.99/0.67 % (24265)------------------------------
% 1.99/0.67 TRYING [3]
% 1.99/0.67 TRYING [3]
% 1.99/0.68 % (24264)Instruction limit reached!
% 1.99/0.68 % (24264)------------------------------
% 1.99/0.68 % (24264)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.69 % (24264)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.69 % (24264)Termination reason: Unknown
% 2.49/0.69 % (24264)Termination phase: Saturation
% 2.49/0.69
% 2.49/0.69 % (24264)Memory used [KB]: 6524
% 2.49/0.69 % (24264)Time elapsed: 0.052 s
% 2.49/0.69 % (24264)Instructions burned: 68 (million)
% 2.49/0.69 % (24264)------------------------------
% 2.49/0.69 % (24264)------------------------------
% 2.49/0.70 % (24252)Instruction limit reached!
% 2.49/0.70 % (24252)------------------------------
% 2.49/0.70 % (24252)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.70 % (24252)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.70 % (24252)Termination reason: Unknown
% 2.49/0.70 % (24252)Termination phase: Saturation
% 2.49/0.70
% 2.49/0.70 % (24252)Memory used [KB]: 1279
% 2.49/0.70 % (24252)Time elapsed: 0.265 s
% 2.49/0.70 % (24252)Instructions burned: 38 (million)
% 2.49/0.70 % (24252)------------------------------
% 2.49/0.70 % (24252)------------------------------
% 2.49/0.70 TRYING [4]
% 2.49/0.73 % (24251)Instruction limit reached!
% 2.49/0.73 % (24251)------------------------------
% 2.49/0.73 % (24251)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.73 % (24251)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.73 % (24251)Termination reason: Unknown
% 2.49/0.73 % (24251)Termination phase: Saturation
% 2.49/0.73
% 2.49/0.73 % (24251)Memory used [KB]: 6268
% 2.49/0.73 % (24251)Time elapsed: 0.252 s
% 2.49/0.73 % (24251)Instructions burned: 51 (million)
% 2.49/0.73 % (24251)------------------------------
% 2.49/0.73 % (24251)------------------------------
% 2.49/0.74 % (24255)Instruction limit reached!
% 2.49/0.74 % (24255)------------------------------
% 2.49/0.74 % (24255)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.74 % (24254)Instruction limit reached!
% 2.49/0.74 % (24254)------------------------------
% 2.49/0.74 % (24254)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.74 % (24254)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.74 % (24254)Termination reason: Unknown
% 2.49/0.74 % (24254)Termination phase: Saturation
% 2.49/0.74
% 2.49/0.74 % (24254)Memory used [KB]: 6652
% 2.49/0.74 % (24254)Time elapsed: 0.314 s
% 2.49/0.74 % (24254)Instructions burned: 51 (million)
% 2.49/0.74 % (24254)------------------------------
% 2.49/0.74 % (24254)------------------------------
% 2.49/0.74 % (24255)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.74 % (24255)Termination reason: Unknown
% 2.49/0.74 % (24255)Termination phase: Saturation
% 2.49/0.74
% 2.49/0.74 % (24255)Memory used [KB]: 6012
% 2.49/0.74 % (24255)Time elapsed: 0.294 s
% 2.49/0.74 % (24255)Instructions burned: 48 (million)
% 2.49/0.74 % (24255)------------------------------
% 2.49/0.74 % (24255)------------------------------
% 2.49/0.74 TRYING [4]
% 2.49/0.74 % (24267)Instruction limit reached!
% 2.49/0.74 % (24267)------------------------------
% 2.49/0.74 % (24267)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.74 % (24267)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.74 % (24267)Termination reason: Unknown
% 2.49/0.74 % (24267)Termination phase: Finite model building constraint generation
% 2.49/0.74
% 2.49/0.74 % (24267)Memory used [KB]: 7036
% 2.49/0.74 % (24267)Time elapsed: 0.264 s
% 2.49/0.74 % (24267)Instructions burned: 59 (million)
% 2.49/0.74 % (24267)------------------------------
% 2.49/0.74 % (24267)------------------------------
% 2.49/0.74 % (24279)First to succeed.
% 2.49/0.74 % (24259)Instruction limit reached!
% 2.49/0.74 % (24259)------------------------------
% 2.49/0.74 % (24259)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.74 % (24259)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.74 % (24259)Termination reason: Unknown
% 2.49/0.74 % (24259)Termination phase: Saturation
% 2.49/0.74
% 2.49/0.74 % (24259)Memory used [KB]: 1407
% 2.49/0.74 % (24259)Time elapsed: 0.251 s
% 2.49/0.74 % (24259)Instructions burned: 51 (million)
% 2.49/0.74 % (24259)------------------------------
% 2.49/0.74 % (24259)------------------------------
% 2.49/0.75 % (24260)Instruction limit reached!
% 2.49/0.75 % (24260)------------------------------
% 2.49/0.75 % (24260)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.75 % (24260)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.75 % (24260)Termination reason: Unknown
% 2.49/0.75 % (24260)Termination phase: Saturation
% 2.49/0.75
% 2.49/0.75 % (24260)Memory used [KB]: 6012
% 2.49/0.75 % (24260)Time elapsed: 0.318 s
% 2.49/0.75 % (24260)Instructions burned: 50 (million)
% 2.49/0.75 % (24260)------------------------------
% 2.49/0.75 % (24260)------------------------------
% 2.49/0.75 % (24253)Instruction limit reached!
% 2.49/0.75 % (24253)------------------------------
% 2.49/0.75 % (24253)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.75 % (24253)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.75 % (24253)Termination reason: Unknown
% 2.49/0.75 % (24253)Termination phase: Saturation
% 2.49/0.75
% 2.49/0.75 % (24253)Memory used [KB]: 6652
% 2.49/0.75 % (24253)Time elapsed: 0.321 s
% 2.49/0.75 % (24253)Instructions burned: 52 (million)
% 2.49/0.75 % (24253)------------------------------
% 2.49/0.75 % (24253)------------------------------
% 2.49/0.75 % (24279)Refutation found. Thanks to Tanya!
% 2.49/0.75 % SZS status Unsatisfiable for theBenchmark
% 2.49/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 2.49/0.76 % (24279)------------------------------
% 2.49/0.76 % (24279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.76 % (24279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.76 % (24279)Termination reason: Refutation
% 2.49/0.76
% 2.49/0.76 % (24279)Memory used [KB]: 6012
% 2.49/0.76 % (24279)Time elapsed: 0.315 s
% 2.49/0.76 % (24279)Instructions burned: 38 (million)
% 2.49/0.76 % (24279)------------------------------
% 2.49/0.76 % (24279)------------------------------
% 2.49/0.76 % (24249)Success in time 0.393 s
%------------------------------------------------------------------------------