TSTP Solution File: GRP312-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP312-1 : 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 : n027.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 16:21:15 EDT 2022
% Result : Unsatisfiable 1.80s 0.62s
% Output : Refutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 87
% Syntax : Number of formulae : 430 ( 10 unt; 0 def)
% Number of atoms : 2165 ( 522 equ)
% Maximal formula atoms : 17 ( 5 avg)
% Number of connectives : 3383 (1648 ~;1714 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 144 ( 144 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1169,plain,
$false,
inference(avatar_sat_refutation,[],[f85,f103,f112,f121,f122,f124,f137,f142,f151,f156,f157,f158,f159,f164,f165,f171,f172,f173,f174,f175,f176,f181,f182,f183,f184,f185,f186,f187,f188,f189,f190,f191,f192,f193,f194,f197,f198,f199,f200,f201,f202,f203,f204,f205,f206,f208,f209,f210,f211,f212,f213,f214,f215,f216,f217,f219,f220,f221,f222,f223,f224,f225,f226,f426,f489,f498,f593,f600,f664,f811,f1085,f1124,f1152,f1160,f1168]) ).
fof(f1168,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1167]) ).
fof(f1167,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f1166]) ).
fof(f1166,plain,
( sk_c11 != sk_c11
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16
| ~ spl0_19 ),
inference(duplicate_literal_removal,[],[f1163]) ).
fof(f1163,plain,
( sk_c11 != sk_c11
| sk_c11 != sk_c11
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16
| ~ spl0_19 ),
inference(superposition,[],[f1162,f1040]) ).
fof(f1040,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_16
| ~ spl0_19 ),
inference(backward_demodulation,[],[f107,f1038]) ).
fof(f1038,plain,
( sk_c11 = sk_c3
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_10
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[],[f901,f1023]) ).
fof(f1023,plain,
( sk_c11 = sk_c12
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_10
| ~ spl0_16 ),
inference(backward_demodulation,[],[f1008,f1020]) ).
fof(f1020,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_10
| ~ spl0_16 ),
inference(backward_demodulation,[],[f1013,f1018]) ).
fof(f1018,plain,
( ! [X0] : multiply(sk_c12,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1017,f1013]) ).
fof(f1017,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c12,X0)) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[],[f707,f1012]) ).
fof(f1012,plain,
( sk_c12 = sk_c2
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_demodulation,[],[f900,f1007]) ).
fof(f1007,plain,
( sk_c12 = sk_c10
| ~ spl0_1
| ~ spl0_3
| ~ spl0_16 ),
inference(forward_demodulation,[],[f713,f896]) ).
fof(f896,plain,
( ! [X0] : multiply(inverse(sk_c11),X0) = X0
| ~ spl0_3
| ~ spl0_16 ),
inference(backward_demodulation,[],[f291,f890]) ).
fof(f890,plain,
( identity = sk_c11
| ~ spl0_3
| ~ spl0_16 ),
inference(forward_demodulation,[],[f888,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f888,plain,
( sk_c11 = multiply(inverse(sk_c12),sk_c12)
| ~ spl0_3
| ~ spl0_16 ),
inference(superposition,[],[f264,f717]) ).
fof(f717,plain,
( sk_c12 = multiply(sk_c12,sk_c11)
| ~ spl0_3
| ~ spl0_16 ),
inference(forward_demodulation,[],[f715,f146]) ).
fof(f146,plain,
( sk_c12 = inverse(sk_c1)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f144,plain,
( spl0_16
<=> sk_c12 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f715,plain,
( sk_c12 = multiply(inverse(sk_c1),sk_c11)
| ~ spl0_3 ),
inference(superposition,[],[f264,f89]) ).
fof(f89,plain,
( sk_c11 = multiply(sk_c1,sk_c12)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f87,plain,
( spl0_3
<=> sk_c11 = multiply(sk_c1,sk_c12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f264,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f262,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f262,plain,
! [X0,X1] : multiply(identity,X1) = multiply(inverse(X0),multiply(X0,X1)),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f291,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f264,f1]) ).
fof(f713,plain,
( sk_c12 = multiply(inverse(sk_c11),sk_c10)
| ~ spl0_1 ),
inference(superposition,[],[f264,f80]) ).
fof(f80,plain,
( multiply(sk_c11,sk_c12) = sk_c10
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl0_1
<=> multiply(sk_c11,sk_c12) = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f900,plain,
( sk_c10 = sk_c2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_16 ),
inference(backward_demodulation,[],[f102,f897]) ).
fof(f897,plain,
( ! [X4] : multiply(X4,sk_c11) = X4
| ~ spl0_3
| ~ spl0_16 ),
inference(backward_demodulation,[],[f322,f890]) ).
fof(f322,plain,
! [X4] : multiply(X4,identity) = X4,
inference(backward_demodulation,[],[f293,f294]) ).
fof(f294,plain,
! [X6,X5] : multiply(inverse(inverse(X5)),X6) = multiply(X5,X6),
inference(superposition,[],[f264,f264]) ).
fof(f293,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f264,f2]) ).
fof(f102,plain,
( sk_c10 = multiply(sk_c2,sk_c11)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f100,plain,
( spl0_6
<=> sk_c10 = multiply(sk_c2,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f707,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c2,X0)) = X0
| ~ spl0_10 ),
inference(superposition,[],[f264,f120]) ).
fof(f120,plain,
( sk_c11 = inverse(sk_c2)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl0_10
<=> sk_c11 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1013,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c11,multiply(sk_c12,X0))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_16 ),
inference(forward_demodulation,[],[f714,f1007]) ).
fof(f714,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c11,multiply(sk_c12,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f80]) ).
fof(f1008,plain,
( sk_c11 = multiply(sk_c11,sk_c12)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_10
| ~ spl0_16 ),
inference(backward_demodulation,[],[f731,f1007]) ).
fof(f731,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f728,f120]) ).
fof(f728,plain,
( sk_c11 = multiply(inverse(sk_c2),sk_c10)
| ~ spl0_6 ),
inference(superposition,[],[f264,f102]) ).
fof(f901,plain,
( sk_c12 = sk_c3
| ~ spl0_3
| ~ spl0_16
| ~ spl0_19 ),
inference(backward_demodulation,[],[f163,f897]) ).
fof(f163,plain,
( sk_c12 = multiply(sk_c3,sk_c11)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f161,plain,
( spl0_19
<=> sk_c12 = multiply(sk_c3,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f107,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl0_7
<=> sk_c11 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1162,plain,
( ! [X7] :
( sk_c11 != inverse(X7)
| sk_c11 != X7 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1161,f1028]) ).
fof(f1028,plain,
( sk_c11 = sk_c10
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_10
| ~ spl0_16 ),
inference(backward_demodulation,[],[f1007,f1023]) ).
fof(f1161,plain,
( ! [X7] :
( sk_c11 != inverse(X7)
| sk_c10 != X7 )
| ~ spl0_3
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f127,f897]) ).
fof(f127,plain,
( ! [X7] :
( sk_c10 != multiply(X7,sk_c11)
| sk_c11 != inverse(X7) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f126,plain,
( spl0_11
<=> ! [X7] :
( sk_c11 != inverse(X7)
| sk_c10 != multiply(X7,sk_c11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1160,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_16
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1159]) ).
fof(f1159,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_16
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f1158]) ).
fof(f1158,plain,
( sk_c11 != sk_c11
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_16
| ~ spl0_19 ),
inference(duplicate_literal_removal,[],[f1155]) ).
fof(f1155,plain,
( sk_c11 != sk_c11
| sk_c11 != sk_c11
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_16
| ~ spl0_19 ),
inference(superposition,[],[f1154,f1040]) ).
fof(f1154,plain,
( ! [X5] :
( sk_c11 != inverse(X5)
| sk_c11 != X5 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_10
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1153,f1023]) ).
fof(f1153,plain,
( ! [X5] :
( sk_c12 != X5
| sk_c11 != inverse(X5) )
| ~ spl0_3
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f133,f897]) ).
fof(f133,plain,
( ! [X5] :
( sk_c11 != inverse(X5)
| sk_c12 != multiply(X5,sk_c11) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl0_13
<=> ! [X5] :
( sk_c12 != multiply(X5,sk_c11)
| sk_c11 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1152,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_16
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1151]) ).
fof(f1151,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_16
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f1150]) ).
fof(f1150,plain,
( sk_c11 != sk_c11
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_16
| ~ spl0_19 ),
inference(duplicate_literal_removal,[],[f1147]) ).
fof(f1147,plain,
( sk_c11 != sk_c11
| sk_c11 != sk_c11
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_16
| ~ spl0_19 ),
inference(superposition,[],[f1099,f1040]) ).
fof(f1099,plain,
( ! [X1] :
( sk_c11 != inverse(X1)
| inverse(X1) != X1 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1098,f897]) ).
fof(f1098,plain,
( ! [X1] :
( sk_c11 != inverse(multiply(X1,sk_c11))
| inverse(X1) != X1 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_16
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f1097]) ).
fof(f1097,plain,
( ! [X1] :
( sk_c11 != inverse(multiply(X1,sk_c11))
| inverse(X1) != X1
| sk_c11 != sk_c11 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1096,f1020]) ).
fof(f1096,plain,
( ! [X1] :
( inverse(X1) != X1
| sk_c11 != multiply(sk_c11,sk_c11)
| sk_c11 != inverse(multiply(X1,sk_c11)) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1093,f897]) ).
fof(f1093,plain,
( ! [X1] :
( inverse(X1) != multiply(X1,sk_c11)
| sk_c11 != inverse(multiply(X1,sk_c11))
| sk_c11 != multiply(sk_c11,sk_c11) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_16
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f1090]) ).
fof(f1090,plain,
( ! [X1] :
( sk_c11 != inverse(multiply(X1,sk_c11))
| sk_c11 != multiply(sk_c11,sk_c11)
| sk_c11 != sk_c11
| inverse(X1) != multiply(X1,sk_c11) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_16
| ~ spl0_19 ),
inference(superposition,[],[f1088,f1040]) ).
fof(f1088,plain,
( ! [X10,X8] :
( inverse(X8) != inverse(multiply(X10,inverse(X8)))
| sk_c11 != multiply(X8,inverse(X8))
| inverse(X10) != multiply(X10,inverse(X8))
| sk_c11 != inverse(X8) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1087,f1023]) ).
fof(f1087,plain,
( ! [X10,X8] :
( inverse(X8) != inverse(multiply(X10,inverse(X8)))
| inverse(X10) != multiply(X10,inverse(X8))
| sk_c11 != multiply(X8,inverse(X8))
| sk_c12 != inverse(X8) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1086,f1023]) ).
fof(f1086,plain,
( ! [X10,X8] :
( inverse(X10) != multiply(X10,inverse(X8))
| inverse(X8) != inverse(multiply(X10,inverse(X8)))
| sk_c12 != multiply(X8,inverse(X8))
| sk_c12 != inverse(X8) )
| ~ spl0_3
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_demodulation,[],[f130,f897]) ).
fof(f130,plain,
( ! [X10,X8] :
( inverse(X8) != inverse(multiply(X10,inverse(X8)))
| inverse(X10) != multiply(X10,inverse(X8))
| sk_c12 != multiply(inverse(X8),sk_c11)
| sk_c12 != multiply(X8,inverse(X8)) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl0_12
<=> ! [X8,X10] :
( sk_c12 != multiply(X8,inverse(X8))
| inverse(X10) != multiply(X10,inverse(X8))
| sk_c12 != multiply(inverse(X8),sk_c11)
| inverse(X8) != inverse(multiply(X10,inverse(X8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1124,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_16
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1123]) ).
fof(f1123,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_16
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f1122]) ).
fof(f1122,plain,
( sk_c11 != sk_c11
| ~ spl0_1
| ~ spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_16
| ~ spl0_21 ),
inference(backward_demodulation,[],[f1062,f1110]) ).
fof(f1110,plain,
( sk_c11 = multiply(sk_c6,sk_c9)
| ~ spl0_3
| ~ spl0_16
| ~ spl0_21 ),
inference(superposition,[],[f892,f1107]) ).
fof(f1107,plain,
( sk_c6 = inverse(sk_c9)
| ~ spl0_3
| ~ spl0_16
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1105,f897]) ).
fof(f1105,plain,
( sk_c6 = multiply(inverse(sk_c9),sk_c11)
| ~ spl0_3
| ~ spl0_16
| ~ spl0_21 ),
inference(superposition,[],[f264,f894]) ).
fof(f894,plain,
( sk_c11 = multiply(sk_c9,sk_c6)
| ~ spl0_3
| ~ spl0_16
| ~ spl0_21 ),
inference(backward_demodulation,[],[f259,f890]) ).
fof(f259,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl0_21 ),
inference(superposition,[],[f2,f180]) ).
fof(f180,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl0_21
<=> sk_c9 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f892,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c11
| ~ spl0_3
| ~ spl0_16 ),
inference(backward_demodulation,[],[f2,f890]) ).
fof(f1062,plain,
( sk_c11 != multiply(sk_c6,sk_c9)
| ~ spl0_1
| ~ spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[],[f97,f1023]) ).
fof(f97,plain,
( sk_c12 != multiply(sk_c6,sk_c9)
| spl0_5 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl0_5
<=> sk_c12 = multiply(sk_c6,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1085,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14
| ~ spl0_16
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1084]) ).
fof(f1084,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14
| ~ spl0_16
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f1083]) ).
fof(f1083,plain,
( sk_c11 != sk_c11
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14
| ~ spl0_16
| ~ spl0_19 ),
inference(duplicate_literal_removal,[],[f1082]) ).
fof(f1082,plain,
( sk_c11 != sk_c11
| sk_c11 != sk_c11
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14
| ~ spl0_16
| ~ spl0_19 ),
inference(superposition,[],[f1034,f1040]) ).
fof(f1034,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| sk_c11 != X3 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_10
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1033,f897]) ).
fof(f1033,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| sk_c11 != multiply(X3,sk_c11) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_10
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1024,f1023]) ).
fof(f1024,plain,
( ! [X3] :
( sk_c12 != inverse(X3)
| sk_c11 != multiply(X3,sk_c11) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_10
| ~ spl0_14
| ~ spl0_16 ),
inference(backward_demodulation,[],[f136,f1023]) ).
fof(f136,plain,
( ! [X3] :
( sk_c11 != multiply(X3,sk_c12)
| sk_c12 != inverse(X3) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f135,plain,
( spl0_14
<=> ! [X3] :
( sk_c11 != multiply(X3,sk_c12)
| sk_c12 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f811,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f810]) ).
fof(f810,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| spl0_20
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f809]) ).
fof(f809,plain,
( sk_c11 != sk_c11
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f763,f808]) ).
fof(f808,plain,
( sk_c11 = multiply(sk_c4,sk_c11)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_21 ),
inference(backward_demodulation,[],[f779,f802]) ).
fof(f802,plain,
( sk_c11 = sk_c10
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_21 ),
inference(forward_demodulation,[],[f773,f757]) ).
fof(f757,plain,
( sk_c10 = multiply(sk_c11,sk_c11)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_21 ),
inference(backward_demodulation,[],[f80,f753]) ).
fof(f753,plain,
( sk_c11 = sk_c12
| ~ spl0_3
| ~ spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_21 ),
inference(backward_demodulation,[],[f141,f749]) ).
fof(f749,plain,
( ! [X2] : multiply(sk_c9,X2) = X2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_21 ),
inference(forward_demodulation,[],[f744,f270]) ).
fof(f270,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c4,X0)) = X0
| ~ spl0_18 ),
inference(forward_demodulation,[],[f269,f1]) ).
fof(f269,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c12,multiply(sk_c4,X0))
| ~ spl0_18 ),
inference(superposition,[],[f3,f257]) ).
fof(f257,plain,
( identity = multiply(sk_c12,sk_c4)
| ~ spl0_18 ),
inference(superposition,[],[f2,f155]) ).
fof(f155,plain,
( sk_c12 = inverse(sk_c4)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f153,plain,
( spl0_18
<=> sk_c12 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f744,plain,
( ! [X2] : multiply(sk_c9,multiply(sk_c12,multiply(sk_c4,X2))) = X2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_21 ),
inference(backward_demodulation,[],[f308,f743]) ).
fof(f743,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c12,multiply(sk_c11,X0))
| ~ spl0_3
| ~ spl0_16 ),
inference(forward_demodulation,[],[f741,f146]) ).
fof(f741,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(inverse(sk_c1),multiply(sk_c11,X0))
| ~ spl0_3 ),
inference(superposition,[],[f264,f716]) ).
fof(f716,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c12,X0)) = multiply(sk_c11,X0)
| ~ spl0_3 ),
inference(superposition,[],[f3,f89]) ).
fof(f308,plain,
( ! [X2] : multiply(sk_c9,multiply(sk_c12,multiply(sk_c11,multiply(sk_c4,X2)))) = X2
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_21 ),
inference(forward_demodulation,[],[f288,f272]) ).
fof(f272,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c12,multiply(sk_c11,multiply(sk_c4,X0)))
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18 ),
inference(superposition,[],[f242,f270]) ).
fof(f242,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c12,X0)) = multiply(sk_c12,multiply(sk_c11,X0))
| ~ spl0_5
| ~ spl0_15 ),
inference(superposition,[],[f232,f236]) ).
fof(f236,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c11,X0)) = multiply(sk_c12,X0)
| ~ spl0_15 ),
inference(superposition,[],[f3,f141]) ).
fof(f232,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c6,multiply(sk_c9,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f98]) ).
fof(f98,plain,
( sk_c12 = multiply(sk_c6,sk_c9)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f288,plain,
( ! [X2] : multiply(sk_c9,multiply(sk_c6,X2)) = X2
| ~ spl0_21 ),
inference(superposition,[],[f264,f180]) ).
fof(f141,plain,
( sk_c12 = multiply(sk_c9,sk_c11)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f139,plain,
( spl0_15
<=> sk_c12 = multiply(sk_c9,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f773,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_21 ),
inference(backward_demodulation,[],[f717,f753]) ).
fof(f779,plain,
( sk_c11 = multiply(sk_c4,sk_c10)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_21 ),
inference(backward_demodulation,[],[f770,f766]) ).
fof(f766,plain,
( ! [X7] : multiply(sk_c4,X7) = multiply(inverse(sk_c11),X7)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_21 ),
inference(backward_demodulation,[],[f296,f753]) ).
fof(f296,plain,
( ! [X7] : multiply(sk_c4,X7) = multiply(inverse(sk_c12),X7)
| ~ spl0_18 ),
inference(superposition,[],[f264,f270]) ).
fof(f770,plain,
( sk_c11 = multiply(inverse(sk_c11),sk_c10)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_21 ),
inference(backward_demodulation,[],[f713,f753]) ).
fof(f763,plain,
( sk_c11 != multiply(sk_c4,sk_c11)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f169,f753]) ).
fof(f169,plain,
( sk_c11 != multiply(sk_c4,sk_c12)
| spl0_20 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f168,plain,
( spl0_20
<=> sk_c11 = multiply(sk_c4,sk_c12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f664,plain,
( ~ spl0_5
| ~ spl0_8
| spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f663]) ).
fof(f663,plain,
( $false
| ~ spl0_5
| ~ spl0_8
| spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f662]) ).
fof(f662,plain,
( sk_c11 != sk_c11
| ~ spl0_5
| ~ spl0_8
| spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f661,f637]) ).
fof(f637,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f613,f635]) ).
fof(f635,plain,
( sk_c11 = sk_c4
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f633,f613]) ).
fof(f633,plain,
( sk_c4 = inverse(sk_c4)
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f622,f632]) ).
fof(f632,plain,
( sk_c4 = sk_c6
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f631,f627]) ).
fof(f627,plain,
( identity = sk_c4
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f527,f621]) ).
fof(f621,plain,
( sk_c4 = sk_c9
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f620,f527]) ).
fof(f620,plain,
( identity = sk_c4
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f619,f608]) ).
fof(f608,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f607,f399]) ).
fof(f399,plain,
( ! [X2] : multiply(sk_c12,X2) = X2
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f398,f270]) ).
fof(f398,plain,
( ! [X2] : multiply(sk_c12,multiply(sk_c12,multiply(sk_c4,X2))) = X2
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f351,f355]) ).
fof(f355,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c12,X0)
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_demodulation,[],[f353,f270]) ).
fof(f353,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c12,multiply(sk_c4,multiply(sk_c9,X0)))
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_20 ),
inference(backward_demodulation,[],[f276,f345]) ).
fof(f345,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c4,X0)) = multiply(sk_c4,X0)
| ~ spl0_18
| ~ spl0_20 ),
inference(superposition,[],[f255,f270]) ).
fof(f255,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c4,multiply(sk_c12,X0))
| ~ spl0_20 ),
inference(superposition,[],[f3,f170]) ).
fof(f170,plain,
( sk_c11 = multiply(sk_c4,sk_c12)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f276,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c12,multiply(sk_c11,multiply(sk_c4,multiply(sk_c9,X0))))
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18 ),
inference(backward_demodulation,[],[f232,f272]) ).
fof(f351,plain,
( ! [X2] : multiply(sk_c9,multiply(sk_c12,multiply(sk_c4,X2))) = X2
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f308,f345]) ).
fof(f607,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c11,X0)) = X0
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f346,f399]) ).
fof(f346,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c12,multiply(sk_c11,X0))
| ~ spl0_18
| ~ spl0_20 ),
inference(superposition,[],[f270,f255]) ).
fof(f619,plain,
( identity = multiply(sk_c11,sk_c4)
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f257,f611]) ).
fof(f611,plain,
( sk_c11 = sk_c12
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f301,f601]) ).
fof(f601,plain,
( ! [X0] : multiply(inverse(sk_c9),X0) = X0
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f291,f527]) ).
fof(f301,plain,
( sk_c11 = multiply(inverse(sk_c9),sk_c12)
| ~ spl0_15 ),
inference(superposition,[],[f264,f141]) ).
fof(f527,plain,
( identity = sk_c9
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f354,f404]) ).
fof(f404,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f270,f399]) ).
fof(f354,plain,
( identity = multiply(sk_c4,sk_c9)
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_20 ),
inference(backward_demodulation,[],[f315,f345]) ).
fof(f315,plain,
( identity = multiply(sk_c11,multiply(sk_c4,sk_c9))
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f297,f2]) ).
fof(f297,plain,
( multiply(inverse(sk_c12),sk_c12) = multiply(sk_c11,multiply(sk_c4,sk_c9))
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18 ),
inference(superposition,[],[f264,f279]) ).
fof(f279,plain,
( sk_c12 = multiply(sk_c12,multiply(sk_c11,multiply(sk_c4,sk_c9)))
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18 ),
inference(backward_demodulation,[],[f98,f272]) ).
fof(f631,plain,
( identity = sk_c6
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f630,f608]) ).
fof(f630,plain,
( identity = multiply(sk_c11,sk_c6)
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f362,f611]) ).
fof(f362,plain,
( identity = multiply(sk_c12,sk_c6)
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f259,f355]) ).
fof(f622,plain,
( sk_c4 = inverse(sk_c6)
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f180,f621]) ).
fof(f613,plain,
( sk_c11 = inverse(sk_c4)
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f155,f611]) ).
fof(f661,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl0_5
| ~ spl0_8
| spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f660,f651]) ).
fof(f651,plain,
( sk_c11 = sk_c8
| ~ spl0_5
| ~ spl0_8
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f650,f641]) ).
fof(f641,plain,
( identity = sk_c11
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f627,f635]) ).
fof(f650,plain,
( identity = sk_c8
| ~ spl0_5
| ~ spl0_8
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f649,f608]) ).
fof(f649,plain,
( identity = multiply(sk_c11,sk_c8)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f648,f611]) ).
fof(f648,plain,
( identity = multiply(sk_c12,sk_c8)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f364,f602]) ).
fof(f602,plain,
( sk_c8 = sk_c7
| ~ spl0_5
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f150,f528]) ).
fof(f528,plain,
( ! [X4] : multiply(X4,sk_c9) = X4
| ~ spl0_5
| ~ spl0_15
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f322,f527]) ).
fof(f150,plain,
( sk_c7 = multiply(sk_c8,sk_c9)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f148,plain,
( spl0_17
<=> sk_c7 = multiply(sk_c8,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f364,plain,
( identity = multiply(sk_c12,sk_c7)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_15
| ~ spl0_18
| ~ spl0_20 ),
inference(backward_demodulation,[],[f261,f355]) ).
fof(f261,plain,
( identity = multiply(sk_c9,sk_c7)
| ~ spl0_8 ),
inference(superposition,[],[f2,f111]) ).
fof(f111,plain,
( sk_c9 = inverse(sk_c7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f109,plain,
( spl0_8
<=> sk_c9 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f660,plain,
( sk_c11 != inverse(sk_c8)
| ~ spl0_5
| ~ spl0_8
| spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f115,f653]) ).
fof(f653,plain,
( sk_c11 = sk_c7
| ~ spl0_5
| ~ spl0_8
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f602,f651]) ).
fof(f115,plain,
( inverse(sk_c8) != sk_c7
| spl0_9 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl0_9
<=> inverse(sk_c8) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f600,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f599]) ).
fof(f599,plain,
( $false
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f598]) ).
fof(f598,plain,
( sk_c11 != sk_c11
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(duplicate_literal_removal,[],[f597]) ).
fof(f597,plain,
( sk_c11 != sk_c11
| sk_c11 != sk_c11
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f596,f547]) ).
fof(f547,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f420,f545]) ).
fof(f545,plain,
( sk_c11 = sk_c4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f544,f420]) ).
fof(f544,plain,
( sk_c4 = inverse(sk_c4)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f529,f537]) ).
fof(f537,plain,
( sk_c4 = sk_c9
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f536,f527]) ).
fof(f536,plain,
( identity = sk_c4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f451,f404]) ).
fof(f451,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_demodulation,[],[f344,f372]) ).
fof(f372,plain,
( ! [X4] : multiply(sk_c11,X4) = X4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_demodulation,[],[f371,f366]) ).
fof(f366,plain,
( ! [X9] : multiply(sk_c11,X9) = multiply(sk_c12,multiply(sk_c12,multiply(sk_c12,X9)))
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_demodulation,[],[f359,f355]) ).
fof(f359,plain,
( ! [X9] : multiply(sk_c11,X9) = multiply(sk_c9,multiply(sk_c12,multiply(sk_c12,X9)))
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(backward_demodulation,[],[f336,f355]) ).
fof(f336,plain,
( ! [X9] : multiply(sk_c11,X9) = multiply(sk_c9,multiply(sk_c9,multiply(sk_c12,X9)))
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f335,f329]) ).
fof(f329,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c9,X0)) = multiply(sk_c7,X0)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(backward_demodulation,[],[f237,f324]) ).
fof(f324,plain,
( sk_c9 = sk_c8
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(backward_demodulation,[],[f312,f322]) ).
fof(f312,plain,
( sk_c9 = multiply(sk_c8,identity)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f311,f261]) ).
fof(f311,plain,
( sk_c9 = multiply(sk_c8,multiply(sk_c9,sk_c7))
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f310,f237]) ).
fof(f310,plain,
( sk_c9 = multiply(sk_c7,sk_c7)
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f303,f116]) ).
fof(f116,plain,
( inverse(sk_c8) = sk_c7
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f303,plain,
( sk_c9 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_17 ),
inference(superposition,[],[f264,f150]) ).
fof(f237,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c9,X0))
| ~ spl0_17 ),
inference(superposition,[],[f3,f150]) ).
fof(f335,plain,
( ! [X9] : multiply(sk_c11,X9) = multiply(sk_c7,multiply(sk_c12,X9))
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17 ),
inference(backward_demodulation,[],[f302,f327]) ).
fof(f327,plain,
( sk_c7 = inverse(sk_c9)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(backward_demodulation,[],[f116,f324]) ).
fof(f302,plain,
( ! [X9] : multiply(inverse(sk_c9),multiply(sk_c12,X9)) = multiply(sk_c11,X9)
| ~ spl0_15 ),
inference(superposition,[],[f264,f236]) ).
fof(f371,plain,
( ! [X4] : multiply(sk_c12,multiply(sk_c12,multiply(sk_c12,X4))) = X4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_demodulation,[],[f370,f355]) ).
fof(f370,plain,
( ! [X4] : multiply(sk_c12,multiply(sk_c9,multiply(sk_c12,X4))) = X4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_demodulation,[],[f356,f355]) ).
fof(f356,plain,
( ! [X4] : multiply(sk_c9,multiply(sk_c9,multiply(sk_c12,X4))) = X4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(backward_demodulation,[],[f331,f355]) ).
fof(f331,plain,
( ! [X4] : multiply(sk_c9,multiply(sk_c9,multiply(sk_c9,X4))) = X4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(backward_demodulation,[],[f309,f324]) ).
fof(f309,plain,
( ! [X4] : multiply(sk_c9,multiply(sk_c8,multiply(sk_c9,X4))) = X4
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f290,f237]) ).
fof(f290,plain,
( ! [X4] : multiply(sk_c9,multiply(sk_c7,X4)) = X4
| ~ spl0_8 ),
inference(superposition,[],[f264,f111]) ).
fof(f344,plain,
( multiply(sk_c4,identity) = multiply(sk_c11,sk_c4)
| ~ spl0_18
| ~ spl0_20 ),
inference(superposition,[],[f255,f257]) ).
fof(f529,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f327,f409]) ).
fof(f409,plain,
( sk_c9 = sk_c7
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f363,f399]) ).
fof(f363,plain,
( sk_c7 = multiply(sk_c12,sk_c9)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(backward_demodulation,[],[f332,f355]) ).
fof(f332,plain,
( sk_c7 = multiply(sk_c9,sk_c9)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(backward_demodulation,[],[f325,f324]) ).
fof(f325,plain,
( sk_c7 = multiply(sk_c9,sk_c8)
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f323,f150]) ).
fof(f323,plain,
( multiply(sk_c8,sk_c9) = multiply(sk_c9,sk_c8)
| ~ spl0_9
| ~ spl0_17 ),
inference(backward_demodulation,[],[f320,f322]) ).
fof(f320,plain,
( multiply(sk_c9,sk_c8) = multiply(sk_c8,multiply(sk_c9,identity))
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f319,f237]) ).
fof(f319,plain,
( multiply(sk_c7,identity) = multiply(sk_c9,sk_c8)
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f304,f116]) ).
fof(f304,plain,
( multiply(sk_c9,sk_c8) = multiply(inverse(sk_c8),identity)
| ~ spl0_9
| ~ spl0_17 ),
inference(superposition,[],[f264,f263]) ).
fof(f263,plain,
( identity = multiply(sk_c8,multiply(sk_c9,sk_c8))
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f260,f237]) ).
fof(f260,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_9 ),
inference(superposition,[],[f2,f116]) ).
fof(f420,plain,
( sk_c11 = inverse(sk_c4)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f155,f419]) ).
fof(f419,plain,
( sk_c11 = sk_c12
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f405,f399]) ).
fof(f405,plain,
( sk_c11 = multiply(sk_c12,sk_c12)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f395,f399]) ).
fof(f395,plain,
( sk_c11 = multiply(sk_c12,multiply(sk_c12,sk_c12))
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_demodulation,[],[f360,f355]) ).
fof(f360,plain,
( sk_c11 = multiply(sk_c12,multiply(sk_c9,sk_c12))
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(backward_demodulation,[],[f337,f355]) ).
fof(f337,plain,
( sk_c11 = multiply(sk_c9,multiply(sk_c9,sk_c12))
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f334,f329]) ).
fof(f334,plain,
( sk_c11 = multiply(sk_c7,sk_c12)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17 ),
inference(backward_demodulation,[],[f301,f327]) ).
fof(f596,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| sk_c11 != X3 )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f595,f553]) ).
fof(f553,plain,
( ! [X4] : multiply(X4,sk_c11) = X4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f543,f545]) ).
fof(f543,plain,
( ! [X4] : multiply(X4,sk_c4) = X4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f528,f537]) ).
fof(f595,plain,
( ! [X3] :
( sk_c11 != multiply(X3,sk_c11)
| sk_c11 != inverse(X3) )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f594,f419]) ).
fof(f594,plain,
( ! [X3] :
( sk_c12 != inverse(X3)
| sk_c11 != multiply(X3,sk_c11) )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f136,f419]) ).
fof(f593,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f592]) ).
fof(f592,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f591]) ).
fof(f591,plain,
( sk_c11 != sk_c11
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(duplicate_literal_removal,[],[f590]) ).
fof(f590,plain,
( sk_c11 != sk_c11
| sk_c11 != sk_c11
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f554,f547]) ).
fof(f554,plain,
( ! [X7] :
( sk_c11 != inverse(X7)
| sk_c11 != X7 )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f525,f553]) ).
fof(f525,plain,
( ! [X7] :
( sk_c11 != inverse(X7)
| sk_c11 != multiply(X7,sk_c11) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f127,f507]) ).
fof(f507,plain,
( sk_c11 = sk_c10
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f506,f419]) ).
fof(f506,plain,
( sk_c12 = sk_c10
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_demodulation,[],[f80,f372]) ).
fof(f498,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f497]) ).
fof(f497,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f496]) ).
fof(f496,plain,
( sk_c11 != sk_c11
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(duplicate_literal_removal,[],[f495]) ).
fof(f495,plain,
( sk_c11 != sk_c11
| sk_c11 != sk_c11
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f491,f438]) ).
fof(f438,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f416,f436]) ).
fof(f436,plain,
( sk_c11 = sk_c7
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f429,f416]) ).
fof(f429,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f84,f428]) ).
fof(f428,plain,
( sk_c11 = sk_c5
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f421,f417]) ).
fof(f417,plain,
( sk_c5 = multiply(sk_c4,sk_c11)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f397,f413]) ).
fof(f413,plain,
( sk_c11 = sk_c9
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f411,f84]) ).
fof(f411,plain,
( inverse(sk_c5) = sk_c9
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f180,f408]) ).
fof(f408,plain,
( sk_c5 = sk_c6
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f387,f399]) ).
fof(f387,plain,
( sk_c5 = multiply(sk_c12,sk_c6)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f362,f380]) ).
fof(f380,plain,
( identity = sk_c5
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(backward_demodulation,[],[f258,f372]) ).
fof(f258,plain,
( identity = multiply(sk_c11,sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f2,f84]) ).
fof(f397,plain,
( sk_c5 = multiply(sk_c4,sk_c9)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_demodulation,[],[f354,f380]) ).
fof(f421,plain,
( sk_c11 = multiply(sk_c4,sk_c11)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f170,f419]) ).
fof(f84,plain,
( sk_c11 = inverse(sk_c5)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f82,plain,
( spl0_2
<=> sk_c11 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f416,plain,
( sk_c7 = inverse(sk_c11)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f327,f413]) ).
fof(f491,plain,
( ! [X5] :
( sk_c11 != inverse(X5)
| sk_c11 != X5 )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f490,f419]) ).
fof(f490,plain,
( ! [X5] :
( sk_c11 != inverse(X5)
| sk_c12 != X5 )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f133,f433]) ).
fof(f433,plain,
( ! [X4] : multiply(X4,sk_c11) = X4
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f386,f428]) ).
fof(f386,plain,
( ! [X4] : multiply(X4,sk_c5) = X4
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(backward_demodulation,[],[f322,f380]) ).
fof(f489,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f488]) ).
fof(f488,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f487]) ).
fof(f487,plain,
( sk_c11 != sk_c11
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(duplicate_literal_removal,[],[f486]) ).
fof(f486,plain,
( sk_c11 != sk_c11
| sk_c11 != sk_c11
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f483,f438]) ).
fof(f483,plain,
( ! [X0] :
( inverse(X0) != sk_c11
| inverse(X0) != X0 )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f482,f433]) ).
fof(f482,plain,
( ! [X0] :
( inverse(X0) != X0
| sk_c11 != inverse(multiply(X0,sk_c11)) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f481,f433]) ).
fof(f481,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(multiply(X0,sk_c11)) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f480]) ).
fof(f480,plain,
( ! [X0] :
( sk_c11 != inverse(multiply(X0,sk_c11))
| sk_c11 != sk_c11
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f479,f372]) ).
fof(f479,plain,
( ! [X0] :
( sk_c11 != multiply(sk_c11,sk_c11)
| inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(multiply(X0,sk_c11)) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f476]) ).
fof(f476,plain,
( ! [X0] :
( sk_c11 != multiply(sk_c11,sk_c11)
| inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(multiply(X0,sk_c11))
| sk_c11 != sk_c11 )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f475,f438]) ).
fof(f475,plain,
( ! [X10,X8] :
( inverse(X8) != inverse(multiply(X10,inverse(X8)))
| inverse(X10) != multiply(X10,inverse(X8))
| sk_c11 != multiply(X8,inverse(X8))
| sk_c11 != inverse(X8) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f474,f419]) ).
fof(f474,plain,
( ! [X10,X8] :
( sk_c12 != inverse(X8)
| inverse(X10) != multiply(X10,inverse(X8))
| inverse(X8) != inverse(multiply(X10,inverse(X8)))
| sk_c11 != multiply(X8,inverse(X8)) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f473,f433]) ).
fof(f473,plain,
( ! [X10,X8] :
( sk_c11 != multiply(X8,inverse(X8))
| sk_c12 != multiply(inverse(X8),sk_c11)
| inverse(X10) != multiply(X10,inverse(X8))
| inverse(X8) != inverse(multiply(X10,inverse(X8))) )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f130,f419]) ).
fof(f426,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f425]) ).
fof(f425,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f423]) ).
fof(f423,plain,
( sk_c11 != sk_c11
| spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f390,f419]) ).
fof(f390,plain,
( sk_c11 != sk_c12
| spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_demodulation,[],[f378,f381]) ).
fof(f381,plain,
( sk_c11 = sk_c10
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(backward_demodulation,[],[f93,f377]) ).
fof(f377,plain,
( ! [X1] : multiply(sk_c5,X1) = X1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(backward_demodulation,[],[f287,f372]) ).
fof(f287,plain,
( ! [X1] : multiply(sk_c11,multiply(sk_c5,X1)) = X1
| ~ spl0_2 ),
inference(superposition,[],[f264,f84]) ).
fof(f93,plain,
( sk_c10 = multiply(sk_c5,sk_c11)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl0_4
<=> sk_c10 = multiply(sk_c5,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f378,plain,
( sk_c12 != sk_c10
| spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20 ),
inference(backward_demodulation,[],[f79,f372]) ).
fof(f79,plain,
( multiply(sk_c11,sk_c12) != sk_c10
| spl0_1 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f226,plain,
( spl0_21
| spl0_16 ),
inference(avatar_split_clause,[],[f29,f144,f178]) ).
fof(f29,axiom,
( sk_c12 = inverse(sk_c1)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f225,plain,
( spl0_18
| spl0_3 ),
inference(avatar_split_clause,[],[f15,f87,f153]) ).
fof(f15,axiom,
( sk_c11 = multiply(sk_c1,sk_c12)
| sk_c12 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f224,plain,
( spl0_1
| spl0_9 ),
inference(avatar_split_clause,[],[f11,f114,f78]) ).
fof(f11,axiom,
( inverse(sk_c8) = sk_c7
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f223,plain,
( spl0_16
| spl0_15 ),
inference(avatar_split_clause,[],[f30,f139,f144]) ).
fof(f30,axiom,
( sk_c12 = multiply(sk_c9,sk_c11)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f222,plain,
( spl0_15
| spl0_3 ),
inference(avatar_split_clause,[],[f20,f87,f139]) ).
fof(f20,axiom,
( sk_c11 = multiply(sk_c1,sk_c12)
| sk_c12 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f221,plain,
( spl0_7
| spl0_9 ),
inference(avatar_split_clause,[],[f71,f114,f105]) ).
fof(f71,axiom,
( inverse(sk_c8) = sk_c7
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_68) ).
fof(f220,plain,
( spl0_16
| spl0_8 ),
inference(avatar_split_clause,[],[f32,f109,f144]) ).
fof(f32,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f219,plain,
( spl0_18
| spl0_10 ),
inference(avatar_split_clause,[],[f45,f118,f153]) ).
fof(f45,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c12 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f217,plain,
( spl0_19
| spl0_17 ),
inference(avatar_split_clause,[],[f63,f148,f161]) ).
fof(f63,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c12 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_60) ).
fof(f216,plain,
( spl0_15
| spl0_10 ),
inference(avatar_split_clause,[],[f50,f118,f139]) ).
fof(f50,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c12 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
fof(f215,plain,
( spl0_16
| spl0_9 ),
inference(avatar_split_clause,[],[f31,f114,f144]) ).
fof(f31,axiom,
( inverse(sk_c8) = sk_c7
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f214,plain,
( spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f6,f78,f91]) ).
fof(f6,axiom,
( multiply(sk_c11,sk_c12) = sk_c10
| sk_c10 = multiply(sk_c5,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f213,plain,
( spl0_20
| spl0_3 ),
inference(avatar_split_clause,[],[f14,f87,f168]) ).
fof(f14,axiom,
( sk_c11 = multiply(sk_c1,sk_c12)
| sk_c11 = multiply(sk_c4,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f212,plain,
( spl0_21
| spl0_7 ),
inference(avatar_split_clause,[],[f69,f105,f178]) ).
fof(f69,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_66) ).
fof(f211,plain,
( spl0_20
| spl0_19 ),
inference(avatar_split_clause,[],[f54,f161,f168]) ).
fof(f54,axiom,
( sk_c12 = multiply(sk_c3,sk_c11)
| sk_c11 = multiply(sk_c4,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
fof(f210,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f8,f96,f78]) ).
fof(f8,axiom,
( sk_c12 = multiply(sk_c6,sk_c9)
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f209,plain,
( spl0_20
| spl0_6 ),
inference(avatar_split_clause,[],[f34,f100,f168]) ).
fof(f34,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| sk_c11 = multiply(sk_c4,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f208,plain,
( spl0_21
| spl0_10 ),
inference(avatar_split_clause,[],[f49,f118,f178]) ).
fof(f49,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
fof(f206,plain,
( spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f21,f114,f87]) ).
fof(f21,axiom,
( inverse(sk_c8) = sk_c7
| sk_c11 = multiply(sk_c1,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f205,plain,
( spl0_19
| spl0_9 ),
inference(avatar_split_clause,[],[f61,f114,f161]) ).
fof(f61,axiom,
( inverse(sk_c8) = sk_c7
| sk_c12 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_58) ).
fof(f204,plain,
( spl0_21
| spl0_3 ),
inference(avatar_split_clause,[],[f19,f87,f178]) ).
fof(f19,axiom,
( sk_c11 = multiply(sk_c1,sk_c12)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f203,plain,
( spl0_20
| spl0_16 ),
inference(avatar_split_clause,[],[f24,f144,f168]) ).
fof(f24,axiom,
( sk_c12 = inverse(sk_c1)
| sk_c11 = multiply(sk_c4,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f202,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f18,f96,f87]) ).
fof(f18,axiom,
( sk_c12 = multiply(sk_c6,sk_c9)
| sk_c11 = multiply(sk_c1,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f201,plain,
( spl0_2
| spl0_16 ),
inference(avatar_split_clause,[],[f27,f144,f82]) ).
fof(f27,axiom,
( sk_c12 = inverse(sk_c1)
| sk_c11 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f200,plain,
( spl0_1
| spl0_18 ),
inference(avatar_split_clause,[],[f5,f153,f78]) ).
fof(f5,axiom,
( sk_c12 = inverse(sk_c4)
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f199,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f47,f82,f118]) ).
fof(f47,axiom,
( sk_c11 = inverse(sk_c5)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
fof(f198,plain,
( spl0_19
| spl0_8 ),
inference(avatar_split_clause,[],[f62,f109,f161]) ).
fof(f62,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c12 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_59) ).
fof(f197,plain,
( spl0_6
| spl0_9 ),
inference(avatar_split_clause,[],[f41,f114,f100]) ).
fof(f41,axiom,
( inverse(sk_c8) = sk_c7
| sk_c10 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f194,plain,
( spl0_17
| spl0_10 ),
inference(avatar_split_clause,[],[f53,f118,f148]) ).
fof(f53,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c7 = multiply(sk_c8,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).
fof(f193,plain,
( spl0_16
| spl0_18 ),
inference(avatar_split_clause,[],[f25,f153,f144]) ).
fof(f25,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f192,plain,
( spl0_7
| spl0_18 ),
inference(avatar_split_clause,[],[f65,f153,f105]) ).
fof(f65,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_62) ).
fof(f191,plain,
( spl0_20
| spl0_1 ),
inference(avatar_split_clause,[],[f4,f78,f168]) ).
fof(f4,axiom,
( multiply(sk_c11,sk_c12) = sk_c10
| sk_c11 = multiply(sk_c4,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f190,plain,
( spl0_3
| spl0_17 ),
inference(avatar_split_clause,[],[f23,f148,f87]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c11 = multiply(sk_c1,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f189,plain,
( spl0_5
| spl0_16 ),
inference(avatar_split_clause,[],[f28,f144,f96]) ).
fof(f28,axiom,
( sk_c12 = inverse(sk_c1)
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f188,plain,
( spl0_1
| spl0_21 ),
inference(avatar_split_clause,[],[f9,f178,f78]) ).
fof(f9,axiom,
( sk_c9 = inverse(sk_c6)
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f187,plain,
( spl0_20
| spl0_7 ),
inference(avatar_split_clause,[],[f64,f105,f168]) ).
fof(f64,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c11 = multiply(sk_c4,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_61) ).
fof(f186,plain,
( spl0_21
| spl0_19 ),
inference(avatar_split_clause,[],[f59,f161,f178]) ).
fof(f59,axiom,
( sk_c12 = multiply(sk_c3,sk_c11)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_56) ).
fof(f185,plain,
( spl0_7
| spl0_15 ),
inference(avatar_split_clause,[],[f70,f139,f105]) ).
fof(f70,axiom,
( sk_c12 = multiply(sk_c9,sk_c11)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_67) ).
fof(f184,plain,
( spl0_1
| spl0_15 ),
inference(avatar_split_clause,[],[f10,f139,f78]) ).
fof(f10,axiom,
( sk_c12 = multiply(sk_c9,sk_c11)
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f183,plain,
( spl0_2
| spl0_6 ),
inference(avatar_split_clause,[],[f37,f100,f82]) ).
fof(f37,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| sk_c11 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f182,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f42,f100,f109]) ).
fof(f42,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| sk_c9 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f181,plain,
( spl0_21
| spl0_6 ),
inference(avatar_split_clause,[],[f39,f100,f178]) ).
fof(f39,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f176,plain,
( spl0_1
| spl0_8 ),
inference(avatar_split_clause,[],[f12,f109,f78]) ).
fof(f12,axiom,
( sk_c9 = inverse(sk_c7)
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f175,plain,
( spl0_15
| spl0_19 ),
inference(avatar_split_clause,[],[f60,f161,f139]) ).
fof(f60,axiom,
( sk_c12 = multiply(sk_c3,sk_c11)
| sk_c12 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_57) ).
fof(f174,plain,
( spl0_17
| spl0_6 ),
inference(avatar_split_clause,[],[f43,f100,f148]) ).
fof(f43,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| sk_c7 = multiply(sk_c8,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f173,plain,
( spl0_5
| spl0_10 ),
inference(avatar_split_clause,[],[f48,f118,f96]) ).
fof(f48,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
fof(f172,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f52,f109,f118]) ).
fof(f52,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f171,plain,
( spl0_10
| spl0_20 ),
inference(avatar_split_clause,[],[f44,f168,f118]) ).
fof(f44,axiom,
( sk_c11 = multiply(sk_c4,sk_c12)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f165,plain,
( spl0_2
| spl0_19 ),
inference(avatar_split_clause,[],[f57,f161,f82]) ).
fof(f57,axiom,
( sk_c12 = multiply(sk_c3,sk_c11)
| sk_c11 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_54) ).
fof(f164,plain,
( spl0_19
| spl0_18 ),
inference(avatar_split_clause,[],[f55,f153,f161]) ).
fof(f55,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c12 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_52) ).
fof(f159,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f22,f87,f109]) ).
fof(f22,axiom,
( sk_c11 = multiply(sk_c1,sk_c12)
| sk_c9 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f158,plain,
( spl0_7
| spl0_17 ),
inference(avatar_split_clause,[],[f73,f148,f105]) ).
fof(f73,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_70) ).
fof(f157,plain,
( spl0_1
| spl0_17 ),
inference(avatar_split_clause,[],[f13,f148,f78]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f156,plain,
( spl0_6
| spl0_18 ),
inference(avatar_split_clause,[],[f35,f153,f100]) ).
fof(f35,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c10 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f151,plain,
( spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f33,f148,f144]) ).
fof(f33,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f142,plain,
( spl0_15
| spl0_6 ),
inference(avatar_split_clause,[],[f40,f100,f139]) ).
fof(f40,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| sk_c12 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f137,plain,
( ~ spl0_1
| spl0_11
| spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_14 ),
inference(avatar_split_clause,[],[f76,f135,f135,f132,f129,f126,f126,f78]) ).
fof(f76,plain,
! [X3,X10,X8,X6,X7,X4,X5] :
( sk_c12 != inverse(X6)
| sk_c11 != multiply(X3,sk_c12)
| sk_c12 != multiply(X5,sk_c11)
| sk_c12 != multiply(X8,inverse(X8))
| sk_c12 != inverse(X3)
| inverse(X8) != inverse(multiply(X10,inverse(X8)))
| sk_c11 != inverse(X4)
| sk_c12 != multiply(inverse(X8),sk_c11)
| sk_c11 != inverse(X7)
| multiply(sk_c11,sk_c12) != sk_c10
| inverse(X10) != multiply(X10,inverse(X8))
| sk_c11 != multiply(X6,sk_c12)
| sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X5)
| sk_c10 != multiply(X7,sk_c11) ),
inference(equality_resolution,[],[f75]) ).
fof(f75,plain,
! [X3,X10,X11,X8,X6,X7,X4,X5] :
( sk_c12 != inverse(X3)
| sk_c12 != inverse(X6)
| inverse(X8) != inverse(X11)
| sk_c11 != inverse(X7)
| sk_c12 != multiply(X8,inverse(X8))
| sk_c11 != inverse(X5)
| sk_c12 != multiply(X5,sk_c11)
| sk_c11 != multiply(X3,sk_c12)
| multiply(X10,inverse(X8)) != X11
| sk_c11 != inverse(X4)
| sk_c11 != multiply(X6,sk_c12)
| sk_c10 != multiply(X7,sk_c11)
| multiply(sk_c11,sk_c12) != sk_c10
| sk_c12 != multiply(inverse(X8),sk_c11)
| inverse(X10) != X11
| sk_c10 != multiply(X4,sk_c11) ),
inference(equality_resolution,[],[f74]) ).
fof(f74,axiom,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( sk_c12 != inverse(X3)
| inverse(X8) != X9
| sk_c12 != inverse(X6)
| inverse(X11) != X9
| sk_c11 != inverse(X7)
| sk_c12 != multiply(X8,X9)
| sk_c11 != inverse(X5)
| sk_c12 != multiply(X5,sk_c11)
| sk_c11 != multiply(X3,sk_c12)
| multiply(X10,X9) != X11
| sk_c11 != inverse(X4)
| sk_c11 != multiply(X6,sk_c12)
| sk_c10 != multiply(X7,sk_c11)
| multiply(sk_c11,sk_c12) != sk_c10
| sk_c12 != multiply(X9,sk_c11)
| inverse(X10) != X11
| sk_c10 != multiply(X4,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_71) ).
fof(f124,plain,
( spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f17,f87,f82]) ).
fof(f17,axiom,
( sk_c11 = multiply(sk_c1,sk_c12)
| sk_c11 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f122,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f67,f82,f105]) ).
fof(f67,axiom,
( sk_c11 = inverse(sk_c5)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_64) ).
fof(f121,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f51,f118,f114]) ).
fof(f51,axiom,
( sk_c11 = inverse(sk_c2)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
fof(f112,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f72,f109,f105]) ).
fof(f72,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_69) ).
fof(f103,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f38,f100,f96]) ).
fof(f38,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f85,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f7,f82,f78]) ).
fof(f7,axiom,
( sk_c11 = inverse(sk_c5)
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP312-1 : 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
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:39:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 % (27200)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.47 % (27192)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.49 TRYING [1]
% 0.20/0.49 TRYING [2]
% 0.20/0.50 TRYING [3]
% 0.20/0.52 % (27188)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (27186)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)
% 0.20/0.52 % (27187)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52 % (27182)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (27184)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)
% 0.20/0.53 TRYING [4]
% 0.20/0.53 % (27175)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)
% 0.20/0.53 % (27180)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)
% 0.20/0.53 % (27179)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (27178)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)
% 0.20/0.53 % (27177)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)
% 0.20/0.53 % (27192)Instruction limit reached!
% 0.20/0.53 % (27192)------------------------------
% 0.20/0.53 % (27192)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (27197)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)
% 0.20/0.53 % (27192)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (27192)Termination reason: Unknown
% 0.20/0.53 % (27192)Termination phase: Finite model building constraint generation
% 0.20/0.53
% 0.20/0.53 % (27192)Memory used [KB]: 7164
% 0.20/0.53 % (27192)Time elapsed: 0.110 s
% 0.20/0.53 % (27192)Instructions burned: 60 (million)
% 0.20/0.53 % (27192)------------------------------
% 0.20/0.53 % (27192)------------------------------
% 0.20/0.54 % (27189)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)
% 0.20/0.54 % (27204)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)
% 0.20/0.54 % (27198)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)
% 0.20/0.54 % (27202)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)
% 0.20/0.54 % (27203)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (27182)Instruction limit reached!
% 0.20/0.54 % (27182)------------------------------
% 0.20/0.54 % (27182)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (27182)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (27182)Termination reason: Unknown
% 0.20/0.54 % (27182)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (27182)Memory used [KB]: 5628
% 0.20/0.54 % (27182)Time elapsed: 0.143 s
% 0.20/0.54 % (27182)Instructions burned: 8 (million)
% 0.20/0.54 % (27182)------------------------------
% 0.20/0.54 % (27182)------------------------------
% 0.20/0.54 % (27176)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)
% 0.20/0.55 % (27181)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)
% 1.51/0.55 % (27196)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.51/0.55 % (27185)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.51/0.55 % (27194)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)
% 1.51/0.55 % (27195)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)
% 1.51/0.55 % (27191)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)
% 1.51/0.55 % (27190)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)
% 1.51/0.55 TRYING [1]
% 1.51/0.55 TRYING [2]
% 1.51/0.56 % (27199)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.51/0.56 % (27201)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)
% 1.51/0.56 % (27193)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.51/0.57 % (27183)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.51/0.57 % (27183)Instruction limit reached!
% 1.51/0.57 % (27183)------------------------------
% 1.51/0.57 % (27183)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.57 % (27183)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.57 % (27183)Termination reason: Unknown
% 1.51/0.57 % (27183)Termination phase: Saturation
% 1.51/0.57
% 1.51/0.57 % (27183)Memory used [KB]: 895
% 1.51/0.57 % (27183)Time elapsed: 0.003 s
% 1.51/0.57 % (27183)Instructions burned: 2 (million)
% 1.51/0.57 % (27183)------------------------------
% 1.51/0.57 % (27183)------------------------------
% 1.51/0.57 TRYING [1]
% 1.51/0.57 TRYING [2]
% 1.51/0.58 TRYING [3]
% 1.51/0.58 TRYING [3]
% 1.80/0.60 % (27204)First to succeed.
% 1.80/0.60 % (27184)Instruction limit reached!
% 1.80/0.60 % (27184)------------------------------
% 1.80/0.60 % (27184)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.60 % (27184)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.60 % (27184)Termination reason: Unknown
% 1.80/0.60 % (27184)Termination phase: Saturation
% 1.80/0.60
% 1.80/0.60 % (27184)Memory used [KB]: 1407
% 1.80/0.60 % (27184)Time elapsed: 0.200 s
% 1.80/0.60 % (27184)Instructions burned: 52 (million)
% 1.80/0.60 % (27184)------------------------------
% 1.80/0.60 % (27184)------------------------------
% 1.80/0.60 TRYING [4]
% 1.80/0.60 TRYING [4]
% 1.80/0.61 % (27181)Instruction limit reached!
% 1.80/0.61 % (27181)------------------------------
% 1.80/0.61 % (27181)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.61 % (27181)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.61 % (27181)Termination reason: Unknown
% 1.80/0.61 % (27181)Termination phase: Finite model building constraint generation
% 1.80/0.61
% 1.80/0.61 % (27181)Memory used [KB]: 7036
% 1.80/0.61 % (27181)Time elapsed: 0.180 s
% 1.80/0.61 % (27181)Instructions burned: 54 (million)
% 1.80/0.61 % (27181)------------------------------
% 1.80/0.61 % (27181)------------------------------
% 1.80/0.61 % (27177)Instruction limit reached!
% 1.80/0.61 % (27177)------------------------------
% 1.80/0.61 % (27177)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.61 % (27177)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.61 % (27177)Termination reason: Unknown
% 1.80/0.61 % (27177)Termination phase: Saturation
% 1.80/0.61
% 1.80/0.61 % (27177)Memory used [KB]: 1279
% 1.80/0.61 % (27177)Time elapsed: 0.178 s
% 1.80/0.61 % (27177)Instructions burned: 38 (million)
% 1.80/0.61 % (27177)------------------------------
% 1.80/0.61 % (27177)------------------------------
% 1.80/0.61 % (27179)Instruction limit reached!
% 1.80/0.61 % (27179)------------------------------
% 1.80/0.61 % (27179)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.61 % (27179)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.61 % (27179)Termination reason: Unknown
% 1.80/0.61 % (27179)Termination phase: Saturation
% 1.80/0.61
% 1.80/0.61 % (27179)Memory used [KB]: 6652
% 1.80/0.61 % (27179)Time elapsed: 0.217 s
% 1.80/0.61 % (27179)Instructions burned: 52 (million)
% 1.80/0.61 % (27179)------------------------------
% 1.80/0.61 % (27179)------------------------------
% 1.80/0.62 % (27204)Refutation found. Thanks to Tanya!
% 1.80/0.62 % SZS status Unsatisfiable for theBenchmark
% 1.80/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.80/0.62 % (27204)------------------------------
% 1.80/0.62 % (27204)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.62 % (27204)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.62 % (27204)Termination reason: Refutation
% 1.80/0.62
% 1.80/0.62 % (27204)Memory used [KB]: 6012
% 1.80/0.62 % (27204)Time elapsed: 0.191 s
% 1.80/0.62 % (27204)Instructions burned: 35 (million)
% 1.80/0.62 % (27204)------------------------------
% 1.80/0.62 % (27204)------------------------------
% 1.80/0.62 % (27174)Success in time 0.27 s
%------------------------------------------------------------------------------