TSTP Solution File: GRP270-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP270-1 : 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_uns --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 16:15:07 EDT 2022
% Result : Unsatisfiable 2.56s 0.75s
% Output : Refutation 2.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 56
% Syntax : Number of formulae : 322 ( 24 unt; 0 def)
% Number of atoms : 1228 ( 363 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1782 ( 876 ~; 885 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 18 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1153,plain,
$false,
inference(avatar_sat_refutation,[],[f74,f83,f97,f98,f107,f108,f113,f114,f115,f116,f118,f119,f120,f121,f122,f135,f137,f138,f140,f141,f142,f143,f262,f349,f366,f404,f409,f560,f584,f615,f677,f683,f685,f705,f734,f740,f795,f802,f1051,f1084,f1085,f1086,f1122,f1137,f1152]) ).
fof(f1152,plain,
( ~ spl10_1
| ~ spl10_5
| ~ spl10_9
| ~ spl10_12
| ~ spl10_17
| ~ spl10_19
| ~ spl10_22 ),
inference(avatar_contradiction_clause,[],[f1151]) ).
fof(f1151,plain,
( $false
| ~ spl10_1
| ~ spl10_5
| ~ spl10_9
| ~ spl10_12
| ~ spl10_17
| ~ spl10_19
| ~ spl10_22 ),
inference(subsumption_resolution,[],[f1150,f1092]) ).
fof(f1092,plain,
( identity = inverse(identity)
| ~ spl10_17
| ~ spl10_19 ),
inference(forward_demodulation,[],[f340,f400]) ).
fof(f400,plain,
( identity = sk_c4
| ~ spl10_19 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f399,plain,
( spl10_19
<=> identity = sk_c4 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_19])]) ).
fof(f340,plain,
( identity = inverse(sk_c4)
| ~ spl10_17 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f339,plain,
( spl10_17
<=> identity = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_17])]) ).
fof(f1150,plain,
( identity != inverse(identity)
| ~ spl10_1
| ~ spl10_5
| ~ spl10_9
| ~ spl10_12
| ~ spl10_17
| ~ spl10_19
| ~ spl10_22 ),
inference(forward_demodulation,[],[f1146,f1092]) ).
fof(f1146,plain,
( identity != inverse(inverse(identity))
| ~ spl10_1
| ~ spl10_5
| ~ spl10_9
| ~ spl10_12
| ~ spl10_22 ),
inference(trivial_inequality_removal,[],[f1143]) ).
fof(f1143,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl10_1
| ~ spl10_5
| ~ spl10_9
| ~ spl10_12
| ~ spl10_22 ),
inference(superposition,[],[f1140,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f1140,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl10_1
| ~ spl10_5
| ~ spl10_9
| ~ spl10_12
| ~ spl10_22 ),
inference(forward_demodulation,[],[f1139,f1061]) ).
fof(f1061,plain,
( identity = sk_c7
| ~ spl10_1
| ~ spl10_5
| ~ spl10_9
| ~ spl10_22 ),
inference(forward_demodulation,[],[f1057,f2]) ).
fof(f1057,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl10_1
| ~ spl10_5
| ~ spl10_9
| ~ spl10_22 ),
inference(backward_demodulation,[],[f1008,f1053]) ).
fof(f1053,plain,
( sk_c7 = sk_c5
| ~ spl10_1
| ~ spl10_5
| ~ spl10_9
| ~ spl10_22 ),
inference(forward_demodulation,[],[f567,f995]) ).
fof(f995,plain,
( sk_c7 = sk_c6
| ~ spl10_1
| ~ spl10_5
| ~ spl10_9 ),
inference(forward_demodulation,[],[f992,f533]) ).
fof(f533,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c5)
| ~ spl10_9 ),
inference(backward_demodulation,[],[f189,f106]) ).
fof(f106,plain,
( sk_c5 = sF0
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f104,plain,
( spl10_9
<=> sk_c5 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).
fof(f189,plain,
sk_c7 = multiply(inverse(sk_c6),sF0),
inference(superposition,[],[f162,f30]) ).
fof(f30,plain,
multiply(sk_c6,sk_c7) = sF0,
introduced(function_definition,[]) ).
fof(f162,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3,
inference(forward_demodulation,[],[f154,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f154,plain,
! [X2,X3] : multiply(identity,X3) = multiply(inverse(X2),multiply(X2,X3)),
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(f992,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c5)
| ~ spl10_1
| ~ spl10_5 ),
inference(superposition,[],[f162,f889]) ).
fof(f889,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl10_1
| ~ spl10_5 ),
inference(forward_demodulation,[],[f585,f69]) ).
fof(f69,plain,
( sk_c6 = sF7
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl10_1
<=> sk_c6 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f585,plain,
( sk_c5 = multiply(sF7,sk_c6)
| ~ spl10_5 ),
inference(backward_demodulation,[],[f541,f43]) ).
fof(f43,plain,
inverse(sk_c4) = sF7,
introduced(function_definition,[]) ).
fof(f541,plain,
( sk_c5 = multiply(inverse(sk_c4),sk_c6)
| ~ spl10_5 ),
inference(superposition,[],[f162,f412]) ).
fof(f412,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl10_5 ),
inference(forward_demodulation,[],[f37,f87]) ).
fof(f87,plain,
( sk_c6 = sF5
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f85,plain,
( spl10_5
<=> sk_c6 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).
fof(f37,plain,
multiply(sk_c4,sk_c5) = sF5,
introduced(function_definition,[]) ).
fof(f567,plain,
( sk_c6 = sk_c5
| ~ spl10_22 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f566,plain,
( spl10_22
<=> sk_c6 = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_22])]) ).
fof(f1008,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c5)
| ~ spl10_1
| ~ spl10_5
| ~ spl10_9 ),
inference(backward_demodulation,[],[f533,f995]) ).
fof(f1139,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| identity != multiply(X4,identity) )
| ~ spl10_1
| ~ spl10_5
| ~ spl10_9
| ~ spl10_12
| ~ spl10_22 ),
inference(forward_demodulation,[],[f1138,f1078]) ).
fof(f1078,plain,
( identity = sk_c5
| ~ spl10_1
| ~ spl10_5
| ~ spl10_9
| ~ spl10_22 ),
inference(backward_demodulation,[],[f1053,f1061]) ).
fof(f1138,plain,
( ! [X4] :
( sk_c5 != multiply(X4,identity)
| sk_c7 != inverse(X4) )
| ~ spl10_1
| ~ spl10_5
| ~ spl10_9
| ~ spl10_12
| ~ spl10_22 ),
inference(forward_demodulation,[],[f128,f1061]) ).
fof(f128,plain,
( ! [X4] :
( sk_c5 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f127,plain,
( spl10_12
<=> ! [X4] :
( sk_c7 != inverse(X4)
| sk_c5 != multiply(X4,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).
fof(f1137,plain,
( ~ spl10_1
| ~ spl10_5
| ~ spl10_9
| ~ spl10_11
| ~ spl10_17
| ~ spl10_19
| ~ spl10_22
| ~ spl10_23 ),
inference(avatar_contradiction_clause,[],[f1136]) ).
fof(f1136,plain,
( $false
| ~ spl10_1
| ~ spl10_5
| ~ spl10_9
| ~ spl10_11
| ~ spl10_17
| ~ spl10_19
| ~ spl10_22
| ~ spl10_23 ),
inference(subsumption_resolution,[],[f1135,f1092]) ).
fof(f1135,plain,
( identity != inverse(identity)
| ~ spl10_1
| ~ spl10_5
| ~ spl10_9
| ~ spl10_11
| ~ spl10_17
| ~ spl10_19
| ~ spl10_22
| ~ spl10_23 ),
inference(forward_demodulation,[],[f1130,f1092]) ).
fof(f1130,plain,
( identity != inverse(inverse(identity))
| ~ spl10_1
| ~ spl10_5
| ~ spl10_9
| ~ spl10_11
| ~ spl10_22
| ~ spl10_23 ),
inference(trivial_inequality_removal,[],[f1128]) ).
fof(f1128,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl10_1
| ~ spl10_5
| ~ spl10_9
| ~ spl10_11
| ~ spl10_22
| ~ spl10_23 ),
inference(superposition,[],[f1125,f2]) ).
fof(f1125,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl10_1
| ~ spl10_5
| ~ spl10_9
| ~ spl10_11
| ~ spl10_22
| ~ spl10_23 ),
inference(forward_demodulation,[],[f1124,f1061]) ).
fof(f1124,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| identity != multiply(X5,identity) )
| ~ spl10_1
| ~ spl10_5
| ~ spl10_9
| ~ spl10_11
| ~ spl10_22
| ~ spl10_23 ),
inference(forward_demodulation,[],[f1123,f1061]) ).
fof(f1123,plain,
( ! [X5] :
( sk_c7 != multiply(X5,identity)
| sk_c7 != inverse(X5) )
| ~ spl10_11
| ~ spl10_23 ),
inference(forward_demodulation,[],[f125,f572]) ).
fof(f572,plain,
( identity = sk_c6
| ~ spl10_23 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f571,plain,
( spl10_23
<=> identity = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_23])]) ).
fof(f125,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5) )
| ~ spl10_11 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl10_11
<=> ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_11])]) ).
fof(f1122,plain,
( ~ spl10_1
| ~ spl10_5
| ~ spl10_9
| ~ spl10_14
| ~ spl10_17
| ~ spl10_19
| ~ spl10_22
| ~ spl10_23 ),
inference(avatar_contradiction_clause,[],[f1121]) ).
fof(f1121,plain,
( $false
| ~ spl10_1
| ~ spl10_5
| ~ spl10_9
| ~ spl10_14
| ~ spl10_17
| ~ spl10_19
| ~ spl10_22
| ~ spl10_23 ),
inference(subsumption_resolution,[],[f1115,f1092]) ).
fof(f1115,plain,
( identity != inverse(identity)
| ~ spl10_1
| ~ spl10_5
| ~ spl10_9
| ~ spl10_14
| ~ spl10_22
| ~ spl10_23 ),
inference(trivial_inequality_removal,[],[f1112]) ).
fof(f1112,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl10_1
| ~ spl10_5
| ~ spl10_9
| ~ spl10_14
| ~ spl10_22
| ~ spl10_23 ),
inference(superposition,[],[f1097,f1]) ).
fof(f1097,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl10_1
| ~ spl10_5
| ~ spl10_9
| ~ spl10_14
| ~ spl10_22
| ~ spl10_23 ),
inference(forward_demodulation,[],[f1096,f1061]) ).
fof(f1096,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| identity != multiply(X3,identity) )
| ~ spl10_1
| ~ spl10_5
| ~ spl10_9
| ~ spl10_14
| ~ spl10_22
| ~ spl10_23 ),
inference(forward_demodulation,[],[f1095,f572]) ).
fof(f1095,plain,
( ! [X3] :
( sk_c6 != multiply(X3,identity)
| sk_c7 != inverse(X3) )
| ~ spl10_1
| ~ spl10_5
| ~ spl10_9
| ~ spl10_14
| ~ spl10_22 ),
inference(forward_demodulation,[],[f134,f1061]) ).
fof(f134,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl10_14 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl10_14
<=> ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_14])]) ).
fof(f1086,plain,
( spl10_23
| ~ spl10_1
| ~ spl10_5
| ~ spl10_9
| ~ spl10_22 ),
inference(avatar_split_clause,[],[f1069,f566,f104,f85,f67,f571]) ).
fof(f1069,plain,
( identity = sk_c6
| ~ spl10_1
| ~ spl10_5
| ~ spl10_9
| ~ spl10_22 ),
inference(backward_demodulation,[],[f995,f1061]) ).
fof(f1085,plain,
( spl10_16
| ~ spl10_1
| ~ spl10_3
| ~ spl10_5
| ~ spl10_9
| ~ spl10_22 ),
inference(avatar_split_clause,[],[f1067,f566,f104,f85,f76,f67,f332]) ).
fof(f332,plain,
( spl10_16
<=> identity = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_16])]) ).
fof(f76,plain,
( spl10_3
<=> sk_c7 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).
fof(f1067,plain,
( identity = inverse(sk_c3)
| ~ spl10_1
| ~ spl10_3
| ~ spl10_5
| ~ spl10_9
| ~ spl10_22 ),
inference(backward_demodulation,[],[f929,f1061]) ).
fof(f929,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl10_3 ),
inference(forward_demodulation,[],[f34,f78]) ).
fof(f78,plain,
( sk_c7 = sF3
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f34,plain,
inverse(sk_c3) = sF3,
introduced(function_definition,[]) ).
fof(f1084,plain,
( spl10_20
| ~ spl10_1
| ~ spl10_3
| ~ spl10_5
| ~ spl10_9
| ~ spl10_22 ),
inference(avatar_split_clause,[],[f1083,f566,f104,f85,f76,f67,f406]) ).
fof(f406,plain,
( spl10_20
<=> identity = sk_c3 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_20])]) ).
fof(f1083,plain,
( identity = sk_c3
| ~ spl10_1
| ~ spl10_3
| ~ spl10_5
| ~ spl10_9
| ~ spl10_22 ),
inference(forward_demodulation,[],[f1066,f2]) ).
fof(f1066,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl10_1
| ~ spl10_3
| ~ spl10_5
| ~ spl10_9
| ~ spl10_22 ),
inference(backward_demodulation,[],[f927,f1061]) ).
fof(f927,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl10_3 ),
inference(forward_demodulation,[],[f194,f78]) ).
fof(f194,plain,
sk_c3 = multiply(inverse(sF3),identity),
inference(superposition,[],[f162,f150]) ).
fof(f150,plain,
identity = multiply(sF3,sk_c3),
inference(superposition,[],[f2,f34]) ).
fof(f1051,plain,
( ~ spl10_1
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_9
| spl10_22 ),
inference(avatar_contradiction_clause,[],[f1050]) ).
fof(f1050,plain,
( $false
| ~ spl10_1
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_9
| spl10_22 ),
inference(subsumption_resolution,[],[f1049,f1009]) ).
fof(f1009,plain,
( sk_c7 != sk_c5
| ~ spl10_1
| ~ spl10_5
| ~ spl10_9
| spl10_22 ),
inference(backward_demodulation,[],[f568,f995]) ).
fof(f568,plain,
( sk_c6 != sk_c5
| spl10_22 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f1049,plain,
( sk_c7 = sk_c5
| ~ spl10_1
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_9 ),
inference(forward_demodulation,[],[f1006,f1024]) ).
fof(f1024,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl10_1
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_9 ),
inference(backward_demodulation,[],[f994,f995]) ).
fof(f994,plain,
( sk_c6 = multiply(sk_c7,sk_c6)
| ~ spl10_1
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_9 ),
inference(forward_demodulation,[],[f991,f983]) ).
fof(f983,plain,
( sk_c6 = multiply(sk_c3,sk_c5)
| ~ spl10_3
| ~ spl10_7
| ~ spl10_9 ),
inference(forward_demodulation,[],[f976,f922]) ).
fof(f922,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl10_3
| ~ spl10_7 ),
inference(forward_demodulation,[],[f419,f78]) ).
fof(f419,plain,
( sk_c6 = multiply(sF3,sk_c7)
| ~ spl10_7 ),
inference(forward_demodulation,[],[f287,f96]) ).
fof(f96,plain,
( sk_c7 = sF6
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl10_7
<=> sk_c7 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).
fof(f287,plain,
sk_c6 = multiply(sF3,sF6),
inference(forward_demodulation,[],[f190,f34]) ).
fof(f190,plain,
sk_c6 = multiply(inverse(sk_c3),sF6),
inference(superposition,[],[f162,f39]) ).
fof(f39,plain,
multiply(sk_c3,sk_c6) = sF6,
introduced(function_definition,[]) ).
fof(f976,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5)
| ~ spl10_7
| ~ spl10_9 ),
inference(superposition,[],[f413,f531]) ).
fof(f531,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| ~ spl10_9 ),
inference(backward_demodulation,[],[f30,f106]) ).
fof(f413,plain,
( ! [X11] : multiply(sk_c3,multiply(sk_c6,X11)) = multiply(sk_c7,X11)
| ~ spl10_7 ),
inference(backward_demodulation,[],[f159,f96]) ).
fof(f159,plain,
! [X11] : multiply(sk_c3,multiply(sk_c6,X11)) = multiply(sF6,X11),
inference(superposition,[],[f3,f39]) ).
fof(f991,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c3,sk_c5)
| ~ spl10_1
| ~ spl10_5
| ~ spl10_7 ),
inference(superposition,[],[f413,f889]) ).
fof(f1006,plain,
( sk_c5 = multiply(sk_c7,sk_c7)
| ~ spl10_1
| ~ spl10_5
| ~ spl10_9 ),
inference(backward_demodulation,[],[f531,f995]) ).
fof(f802,plain,
( spl10_17
| ~ spl10_1
| ~ spl10_7
| ~ spl10_15
| ~ spl10_16
| ~ spl10_20 ),
inference(avatar_split_clause,[],[f787,f406,f332,f328,f94,f67,f339]) ).
fof(f328,plain,
( spl10_15
<=> identity = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_15])]) ).
fof(f787,plain,
( identity = inverse(sk_c4)
| ~ spl10_1
| ~ spl10_7
| ~ spl10_15
| ~ spl10_16
| ~ spl10_20 ),
inference(backward_demodulation,[],[f764,f773]) ).
fof(f773,plain,
( identity = sk_c7
| ~ spl10_7
| ~ spl10_15 ),
inference(forward_demodulation,[],[f96,f329]) ).
fof(f329,plain,
( identity = sF6
| ~ spl10_15 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f764,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl10_1
| ~ spl10_7
| ~ spl10_16
| ~ spl10_20 ),
inference(backward_demodulation,[],[f742,f755]) ).
fof(f755,plain,
( sk_c7 = sk_c6
| ~ spl10_7
| ~ spl10_16
| ~ spl10_20 ),
inference(forward_demodulation,[],[f754,f1]) ).
fof(f754,plain,
( sk_c6 = multiply(identity,sk_c7)
| ~ spl10_7
| ~ spl10_16
| ~ spl10_20 ),
inference(backward_demodulation,[],[f419,f752]) ).
fof(f752,plain,
( identity = sF3
| ~ spl10_16
| ~ spl10_20 ),
inference(forward_demodulation,[],[f751,f714]) ).
fof(f714,plain,
( identity = inverse(identity)
| ~ spl10_16
| ~ spl10_20 ),
inference(backward_demodulation,[],[f333,f407]) ).
fof(f407,plain,
( identity = sk_c3
| ~ spl10_20 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f333,plain,
( identity = inverse(sk_c3)
| ~ spl10_16 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f751,plain,
( inverse(identity) = sF3
| ~ spl10_20 ),
inference(forward_demodulation,[],[f34,f407]) ).
fof(f742,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl10_1 ),
inference(forward_demodulation,[],[f43,f69]) ).
fof(f795,plain,
( spl10_19
| ~ spl10_1
| ~ spl10_7
| ~ spl10_15
| ~ spl10_16
| ~ spl10_20 ),
inference(avatar_split_clause,[],[f794,f406,f332,f328,f94,f67,f399]) ).
fof(f794,plain,
( identity = sk_c4
| ~ spl10_1
| ~ spl10_7
| ~ spl10_15
| ~ spl10_16
| ~ spl10_20 ),
inference(forward_demodulation,[],[f786,f2]) ).
fof(f786,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl10_1
| ~ spl10_7
| ~ spl10_15
| ~ spl10_16
| ~ spl10_20 ),
inference(backward_demodulation,[],[f763,f773]) ).
fof(f763,plain,
( sk_c4 = multiply(inverse(sk_c7),identity)
| ~ spl10_1
| ~ spl10_7
| ~ spl10_16
| ~ spl10_20 ),
inference(backward_demodulation,[],[f741,f755]) ).
fof(f741,plain,
( sk_c4 = multiply(inverse(sk_c6),identity)
| ~ spl10_1 ),
inference(forward_demodulation,[],[f195,f69]) ).
fof(f195,plain,
sk_c4 = multiply(inverse(sF7),identity),
inference(superposition,[],[f162,f151]) ).
fof(f151,plain,
identity = multiply(sF7,sk_c4),
inference(superposition,[],[f2,f43]) ).
fof(f740,plain,
( spl10_23
| ~ spl10_2
| ~ spl10_8
| ~ spl10_9
| ~ spl10_22 ),
inference(avatar_split_clause,[],[f739,f566,f104,f100,f71,f571]) ).
fof(f71,plain,
( spl10_2
<=> sk_c7 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f100,plain,
( spl10_8
<=> sk_c5 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).
fof(f739,plain,
( identity = sk_c6
| ~ spl10_2
| ~ spl10_8
| ~ spl10_9
| ~ spl10_22 ),
inference(forward_demodulation,[],[f738,f1]) ).
fof(f738,plain,
( sk_c6 = multiply(identity,identity)
| ~ spl10_2
| ~ spl10_8
| ~ spl10_9
| ~ spl10_22 ),
inference(forward_demodulation,[],[f737,f725]) ).
fof(f725,plain,
( identity = sk_c2
| ~ spl10_2
| ~ spl10_9
| ~ spl10_22 ),
inference(forward_demodulation,[],[f724,f2]) ).
fof(f724,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl10_2
| ~ spl10_9
| ~ spl10_22 ),
inference(forward_demodulation,[],[f196,f596]) ).
fof(f596,plain,
( identity = sk_c7
| ~ spl10_9
| ~ spl10_22 ),
inference(forward_demodulation,[],[f594,f2]) ).
fof(f594,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl10_9
| ~ spl10_22 ),
inference(backward_demodulation,[],[f533,f567]) ).
fof(f196,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl10_2 ),
inference(superposition,[],[f162,f152]) ).
fof(f152,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl10_2 ),
inference(superposition,[],[f2,f144]) ).
fof(f144,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl10_2 ),
inference(backward_demodulation,[],[f31,f73]) ).
fof(f73,plain,
( sk_c7 = sF1
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f31,plain,
inverse(sk_c2) = sF1,
introduced(function_definition,[]) ).
fof(f737,plain,
( sk_c6 = multiply(sk_c2,identity)
| ~ spl10_8
| ~ spl10_9
| ~ spl10_22 ),
inference(forward_demodulation,[],[f736,f596]) ).
fof(f736,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| ~ spl10_8
| ~ spl10_22 ),
inference(forward_demodulation,[],[f36,f706]) ).
fof(f706,plain,
( sk_c6 = sF4
| ~ spl10_8
| ~ spl10_22 ),
inference(backward_demodulation,[],[f102,f567]) ).
fof(f102,plain,
( sk_c5 = sF4
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f36,plain,
multiply(sk_c2,sk_c7) = sF4,
introduced(function_definition,[]) ).
fof(f734,plain,
( spl10_6
| ~ spl10_9
| ~ spl10_22 ),
inference(avatar_contradiction_clause,[],[f733]) ).
fof(f733,plain,
( $false
| spl10_6
| ~ spl10_9
| ~ spl10_22 ),
inference(subsumption_resolution,[],[f732,f90]) ).
fof(f90,plain,
( sk_c6 != sF2
| spl10_6 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl10_6
<=> sk_c6 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).
fof(f732,plain,
( sk_c6 = sF2
| ~ spl10_9
| ~ spl10_22 ),
inference(forward_demodulation,[],[f731,f1]) ).
fof(f731,plain,
( sF2 = multiply(identity,sk_c6)
| ~ spl10_9
| ~ spl10_22 ),
inference(forward_demodulation,[],[f730,f596]) ).
fof(f730,plain,
( multiply(sk_c7,sk_c6) = sF2
| ~ spl10_22 ),
inference(forward_demodulation,[],[f33,f567]) ).
fof(f33,plain,
multiply(sk_c7,sk_c5) = sF2,
introduced(function_definition,[]) ).
fof(f705,plain,
( spl10_23
| ~ spl10_3
| ~ spl10_7
| ~ spl10_9
| ~ spl10_22 ),
inference(avatar_split_clause,[],[f704,f566,f104,f94,f76,f571]) ).
fof(f704,plain,
( identity = sk_c6
| ~ spl10_3
| ~ spl10_7
| ~ spl10_9
| ~ spl10_22 ),
inference(forward_demodulation,[],[f703,f1]) ).
fof(f703,plain,
( sk_c6 = multiply(identity,identity)
| ~ spl10_3
| ~ spl10_7
| ~ spl10_9
| ~ spl10_22 ),
inference(forward_demodulation,[],[f609,f678]) ).
fof(f678,plain,
( identity = sF3
| ~ spl10_3
| ~ spl10_9
| ~ spl10_22 ),
inference(forward_demodulation,[],[f78,f596]) ).
fof(f609,plain,
( sk_c6 = multiply(sF3,identity)
| ~ spl10_7
| ~ spl10_9
| ~ spl10_22 ),
inference(backward_demodulation,[],[f419,f596]) ).
fof(f685,plain,
( spl10_20
| ~ spl10_3
| ~ spl10_9
| ~ spl10_22 ),
inference(avatar_split_clause,[],[f684,f566,f104,f76,f406]) ).
fof(f684,plain,
( identity = sk_c3
| ~ spl10_3
| ~ spl10_9
| ~ spl10_22 ),
inference(forward_demodulation,[],[f680,f2]) ).
fof(f680,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl10_3
| ~ spl10_9
| ~ spl10_22 ),
inference(backward_demodulation,[],[f194,f678]) ).
fof(f683,plain,
( spl10_16
| ~ spl10_3
| ~ spl10_9
| ~ spl10_22 ),
inference(avatar_split_clause,[],[f682,f566,f104,f76,f332]) ).
fof(f682,plain,
( identity = inverse(sk_c3)
| ~ spl10_3
| ~ spl10_9
| ~ spl10_22 ),
inference(backward_demodulation,[],[f34,f678]) ).
fof(f677,plain,
( ~ spl10_4
| ~ spl10_9
| ~ spl10_14
| ~ spl10_22
| ~ spl10_23 ),
inference(avatar_contradiction_clause,[],[f676]) ).
fof(f676,plain,
( $false
| ~ spl10_4
| ~ spl10_9
| ~ spl10_14
| ~ spl10_22
| ~ spl10_23 ),
inference(subsumption_resolution,[],[f671,f630]) ).
fof(f630,plain,
( identity = inverse(identity)
| ~ spl10_4
| ~ spl10_9
| ~ spl10_22 ),
inference(forward_demodulation,[],[f602,f616]) ).
fof(f616,plain,
( identity = sk_c1
| ~ spl10_4
| ~ spl10_9
| ~ spl10_22 ),
inference(forward_demodulation,[],[f605,f2]) ).
fof(f605,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl10_4
| ~ spl10_9
| ~ spl10_22 ),
inference(backward_demodulation,[],[f186,f596]) ).
fof(f186,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl10_4 ),
inference(superposition,[],[f162,f149]) ).
fof(f149,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl10_4 ),
inference(superposition,[],[f2,f148]) ).
fof(f148,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl10_4 ),
inference(backward_demodulation,[],[f47,f82]) ).
fof(f82,plain,
( sk_c7 = sF8
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl10_4
<=> sk_c7 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).
fof(f47,plain,
inverse(sk_c1) = sF8,
introduced(function_definition,[]) ).
fof(f602,plain,
( identity = inverse(sk_c1)
| ~ spl10_4
| ~ spl10_9
| ~ spl10_22 ),
inference(backward_demodulation,[],[f148,f596]) ).
fof(f671,plain,
( identity != inverse(identity)
| ~ spl10_9
| ~ spl10_14
| ~ spl10_22
| ~ spl10_23 ),
inference(trivial_inequality_removal,[],[f668]) ).
fof(f668,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl10_9
| ~ spl10_14
| ~ spl10_22
| ~ spl10_23 ),
inference(superposition,[],[f656,f1]) ).
fof(f656,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl10_9
| ~ spl10_14
| ~ spl10_22
| ~ spl10_23 ),
inference(backward_demodulation,[],[f614,f572]) ).
fof(f614,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c6 != multiply(X3,identity) )
| ~ spl10_9
| ~ spl10_14
| ~ spl10_22 ),
inference(forward_demodulation,[],[f601,f596]) ).
fof(f601,plain,
( ! [X3] :
( sk_c6 != multiply(X3,identity)
| sk_c7 != inverse(X3) )
| ~ spl10_9
| ~ spl10_14
| ~ spl10_22 ),
inference(backward_demodulation,[],[f134,f596]) ).
fof(f615,plain,
( spl10_15
| ~ spl10_7
| ~ spl10_9
| ~ spl10_22 ),
inference(avatar_split_clause,[],[f600,f566,f104,f94,f328]) ).
fof(f600,plain,
( identity = sF6
| ~ spl10_7
| ~ spl10_9
| ~ spl10_22 ),
inference(backward_demodulation,[],[f96,f596]) ).
fof(f584,plain,
( spl10_22
| ~ spl10_2
| ~ spl10_4
| ~ spl10_8
| ~ spl10_10 ),
inference(avatar_split_clause,[],[f583,f110,f100,f80,f71,f566]) ).
fof(f110,plain,
( spl10_10
<=> sk_c6 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).
fof(f583,plain,
( sk_c6 = sk_c5
| ~ spl10_2
| ~ spl10_4
| ~ spl10_8
| ~ spl10_10 ),
inference(forward_demodulation,[],[f102,f579]) ).
fof(f579,plain,
( sk_c6 = sF4
| ~ spl10_2
| ~ spl10_4
| ~ spl10_10 ),
inference(backward_demodulation,[],[f529,f112]) ).
fof(f112,plain,
( sk_c6 = sF9
| ~ spl10_10 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f529,plain,
( sF9 = sF4
| ~ spl10_2
| ~ spl10_4 ),
inference(forward_demodulation,[],[f51,f524]) ).
fof(f524,plain,
( multiply(sk_c1,sk_c7) = sF4
| ~ spl10_2
| ~ spl10_4 ),
inference(forward_demodulation,[],[f36,f198]) ).
fof(f198,plain,
( sk_c1 = sk_c2
| ~ spl10_2
| ~ spl10_4 ),
inference(backward_demodulation,[],[f196,f186]) ).
fof(f51,plain,
multiply(sk_c1,sk_c7) = sF9,
introduced(function_definition,[]) ).
fof(f560,plain,
( ~ spl10_1
| ~ spl10_5
| ~ spl10_13 ),
inference(avatar_contradiction_clause,[],[f559]) ).
fof(f559,plain,
( $false
| ~ spl10_1
| ~ spl10_5
| ~ spl10_13 ),
inference(subsumption_resolution,[],[f558,f527]) ).
fof(f527,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl10_1 ),
inference(forward_demodulation,[],[f43,f69]) ).
fof(f558,plain,
( sk_c6 != inverse(sk_c4)
| ~ spl10_5
| ~ spl10_13 ),
inference(trivial_inequality_removal,[],[f553]) ).
fof(f553,plain,
( sk_c6 != inverse(sk_c4)
| sk_c6 != sk_c6
| ~ spl10_5
| ~ spl10_13 ),
inference(superposition,[],[f131,f412]) ).
fof(f131,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) )
| ~ spl10_13 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f130,plain,
( spl10_13
<=> ! [X6] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).
fof(f409,plain,
( ~ spl10_16
| ~ spl10_20
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_13 ),
inference(avatar_split_clause,[],[f388,f130,f110,f100,f89,f80,f71,f406,f332]) ).
fof(f388,plain,
( identity != sk_c3
| identity != inverse(sk_c3)
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_13 ),
inference(superposition,[],[f369,f376]) ).
fof(f376,plain,
( sk_c3 = multiply(sk_c3,identity)
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10 ),
inference(backward_demodulation,[],[f255,f374]) ).
fof(f374,plain,
( sk_c3 = sF6
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10 ),
inference(forward_demodulation,[],[f370,f194]) ).
fof(f370,plain,
( sF6 = multiply(inverse(sF3),identity)
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10 ),
inference(superposition,[],[f162,f288]) ).
fof(f288,plain,
( identity = multiply(sF3,sF6)
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10 ),
inference(forward_demodulation,[],[f287,f234]) ).
fof(f234,plain,
( identity = sk_c6
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10 ),
inference(backward_demodulation,[],[f211,f227]) ).
fof(f227,plain,
( identity = sk_c7
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10 ),
inference(forward_demodulation,[],[f226,f2]) ).
fof(f226,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10 ),
inference(backward_demodulation,[],[f222,f225]) ).
fof(f225,plain,
( sk_c7 = sF0
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10 ),
inference(backward_demodulation,[],[f212,f220]) ).
fof(f220,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10 ),
inference(backward_demodulation,[],[f173,f211]) ).
fof(f173,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl10_4
| ~ spl10_10 ),
inference(superposition,[],[f166,f146]) ).
fof(f146,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| ~ spl10_10 ),
inference(backward_demodulation,[],[f51,f112]) ).
fof(f166,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl10_4 ),
inference(forward_demodulation,[],[f165,f1]) ).
fof(f165,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl10_4 ),
inference(superposition,[],[f3,f149]) ).
fof(f212,plain,
( sF0 = multiply(sk_c7,sk_c7)
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10 ),
inference(backward_demodulation,[],[f30,f211]) ).
fof(f222,plain,
( sk_c7 = multiply(inverse(sk_c7),sF0)
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10 ),
inference(backward_demodulation,[],[f189,f211]) ).
fof(f211,plain,
( sk_c7 = sk_c6
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10 ),
inference(forward_demodulation,[],[f208,f173]) ).
fof(f208,plain,
( sk_c6 = multiply(sk_c7,sk_c6)
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10 ),
inference(backward_demodulation,[],[f147,f204]) ).
fof(f204,plain,
( sk_c6 = sk_c5
| ~ spl10_2
| ~ spl10_4
| ~ spl10_8
| ~ spl10_10 ),
inference(forward_demodulation,[],[f202,f146]) ).
fof(f202,plain,
( multiply(sk_c1,sk_c7) = sk_c5
| ~ spl10_2
| ~ spl10_4
| ~ spl10_8 ),
inference(backward_demodulation,[],[f145,f198]) ).
fof(f145,plain,
( sk_c5 = multiply(sk_c2,sk_c7)
| ~ spl10_8 ),
inference(backward_demodulation,[],[f36,f102]) ).
fof(f147,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl10_6 ),
inference(backward_demodulation,[],[f33,f91]) ).
fof(f91,plain,
( sk_c6 = sF2
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f255,plain,
( sF6 = multiply(sk_c3,identity)
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10 ),
inference(forward_demodulation,[],[f213,f227]) ).
fof(f213,plain,
( multiply(sk_c3,sk_c7) = sF6
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10 ),
inference(backward_demodulation,[],[f39,f211]) ).
fof(f369,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_13 ),
inference(forward_demodulation,[],[f368,f234]) ).
fof(f368,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| sk_c6 != inverse(X6) )
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_13 ),
inference(forward_demodulation,[],[f367,f234]) ).
fof(f367,plain,
( ! [X6] :
( sk_c6 != multiply(X6,identity)
| sk_c6 != inverse(X6) )
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_13 ),
inference(forward_demodulation,[],[f131,f250]) ).
fof(f250,plain,
( identity = sk_c5
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10 ),
inference(forward_demodulation,[],[f223,f227]) ).
fof(f223,plain,
( sk_c7 = sk_c5
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10 ),
inference(backward_demodulation,[],[f204,f211]) ).
fof(f404,plain,
( ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_13 ),
inference(avatar_contradiction_clause,[],[f403]) ).
fof(f403,plain,
( $false
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_13 ),
inference(subsumption_resolution,[],[f393,f249]) ).
fof(f249,plain,
( identity = inverse(identity)
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10 ),
inference(forward_demodulation,[],[f230,f241]) ).
fof(f241,plain,
( identity = sk_c1
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10 ),
inference(forward_demodulation,[],[f233,f2]) ).
fof(f233,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10 ),
inference(backward_demodulation,[],[f186,f227]) ).
fof(f230,plain,
( identity = inverse(sk_c1)
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10 ),
inference(backward_demodulation,[],[f148,f227]) ).
fof(f393,plain,
( identity != inverse(identity)
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_13 ),
inference(trivial_inequality_removal,[],[f390]) ).
fof(f390,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_13 ),
inference(superposition,[],[f369,f1]) ).
fof(f366,plain,
( ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_12 ),
inference(avatar_contradiction_clause,[],[f365]) ).
fof(f365,plain,
( $false
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_12 ),
inference(subsumption_resolution,[],[f358,f249]) ).
fof(f358,plain,
( identity != inverse(identity)
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_12 ),
inference(trivial_inequality_removal,[],[f355]) ).
fof(f355,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_12 ),
inference(superposition,[],[f352,f1]) ).
fof(f352,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_12 ),
inference(forward_demodulation,[],[f351,f250]) ).
fof(f351,plain,
( ! [X4] :
( sk_c5 != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_12 ),
inference(forward_demodulation,[],[f350,f227]) ).
fof(f350,plain,
( ! [X4] :
( sk_c5 != multiply(X4,sk_c7)
| identity != inverse(X4) )
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_12 ),
inference(forward_demodulation,[],[f128,f227]) ).
fof(f349,plain,
( ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_11 ),
inference(avatar_contradiction_clause,[],[f348]) ).
fof(f348,plain,
( $false
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_11 ),
inference(subsumption_resolution,[],[f347,f249]) ).
fof(f347,plain,
( identity != inverse(identity)
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_11 ),
inference(forward_demodulation,[],[f325,f249]) ).
fof(f325,plain,
( identity != inverse(inverse(identity))
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_11 ),
inference(trivial_inequality_removal,[],[f323]) ).
fof(f323,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_11 ),
inference(superposition,[],[f307,f2]) ).
fof(f307,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_11 ),
inference(forward_demodulation,[],[f306,f227]) ).
fof(f306,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c7 != multiply(X5,identity) )
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_11 ),
inference(forward_demodulation,[],[f305,f234]) ).
fof(f305,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c7 != multiply(X5,sk_c6) )
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_11 ),
inference(forward_demodulation,[],[f125,f227]) ).
fof(f262,plain,
( ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| spl10_9
| ~ spl10_10 ),
inference(avatar_contradiction_clause,[],[f261]) ).
fof(f261,plain,
( $false
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| spl10_9
| ~ spl10_10 ),
inference(subsumption_resolution,[],[f260,f234]) ).
fof(f260,plain,
( identity != sk_c6
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| spl10_9
| ~ spl10_10 ),
inference(forward_demodulation,[],[f207,f240]) ).
fof(f240,plain,
( identity = sF0
| ~ spl10_2
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10 ),
inference(backward_demodulation,[],[f225,f227]) ).
fof(f207,plain,
( sk_c6 != sF0
| ~ spl10_2
| ~ spl10_4
| ~ spl10_8
| spl10_9
| ~ spl10_10 ),
inference(backward_demodulation,[],[f105,f204]) ).
fof(f105,plain,
( sk_c5 != sF0
| spl10_9 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f143,plain,
( spl10_10
| spl10_3 ),
inference(avatar_split_clause,[],[f52,f76,f110]) ).
fof(f52,plain,
( sk_c7 = sF3
| sk_c6 = sF9 ),
inference(definition_folding,[],[f5,f51,f34]) ).
fof(f5,axiom,
( sk_c7 = inverse(sk_c3)
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f142,plain,
( spl10_1
| spl10_8 ),
inference(avatar_split_clause,[],[f44,f100,f67]) ).
fof(f44,plain,
( sk_c5 = sF4
| sk_c6 = sF7 ),
inference(definition_folding,[],[f22,f36,f43]) ).
fof(f22,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c5 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f141,plain,
( spl10_4
| spl10_1 ),
inference(avatar_split_clause,[],[f48,f67,f80]) ).
fof(f48,plain,
( sk_c6 = sF7
| sk_c7 = sF8 ),
inference(definition_folding,[],[f12,f43,f47]) ).
fof(f12,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f140,plain,
( spl10_10
| spl10_9 ),
inference(avatar_split_clause,[],[f64,f104,f110]) ).
fof(f64,plain,
( sk_c5 = sF0
| sk_c6 = sF9 ),
inference(definition_folding,[],[f4,f30,f51]) ).
fof(f4,axiom,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f138,plain,
( spl10_5
| spl10_4 ),
inference(avatar_split_clause,[],[f63,f80,f85]) ).
fof(f63,plain,
( sk_c7 = sF8
| sk_c6 = sF5 ),
inference(definition_folding,[],[f13,f47,f37]) ).
fof(f13,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f137,plain,
( spl10_9
| spl10_2 ),
inference(avatar_split_clause,[],[f32,f71,f104]) ).
fof(f32,plain,
( sk_c7 = sF1
| sk_c5 = sF0 ),
inference(definition_folding,[],[f24,f31,f30]) ).
fof(f24,axiom,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f135,plain,
( ~ spl10_9
| ~ spl10_6
| spl10_11
| spl10_12
| spl10_13
| spl10_14 ),
inference(avatar_split_clause,[],[f42,f133,f130,f127,f124,f89,f104]) ).
fof(f42,plain,
! [X3,X6,X4,X5] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c6 != inverse(X6)
| sk_c7 != inverse(X4)
| sk_c5 != multiply(X4,sk_c7)
| sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c7 != inverse(X3)
| sk_c6 != sF2
| sk_c5 != sF0 ),
inference(definition_folding,[],[f29,f33,f30]) ).
fof(f29,axiom,
! [X3,X6,X4,X5] :
( multiply(sk_c6,sk_c7) != sk_c5
| sk_c7 != inverse(X3)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != inverse(X6)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c5 != multiply(X4,sk_c7)
| sk_c6 != multiply(X6,sk_c5)
| sk_c7 != inverse(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f122,plain,
( spl10_10
| spl10_1 ),
inference(avatar_split_clause,[],[f59,f67,f110]) ).
fof(f59,plain,
( sk_c6 = sF7
| sk_c6 = sF9 ),
inference(definition_folding,[],[f7,f43,f51]) ).
fof(f7,axiom,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f121,plain,
( spl10_5
| spl10_2 ),
inference(avatar_split_clause,[],[f62,f71,f85]) ).
fof(f62,plain,
( sk_c7 = sF1
| sk_c6 = sF5 ),
inference(definition_folding,[],[f28,f31,f37]) ).
fof(f28,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f120,plain,
( spl10_3
| spl10_8 ),
inference(avatar_split_clause,[],[f49,f100,f76]) ).
fof(f49,plain,
( sk_c5 = sF4
| sk_c7 = sF3 ),
inference(definition_folding,[],[f20,f36,f34]) ).
fof(f20,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c5 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f119,plain,
( spl10_6
| spl10_9 ),
inference(avatar_split_clause,[],[f45,f104,f89]) ).
fof(f45,plain,
( sk_c5 = sF0
| sk_c6 = sF2 ),
inference(definition_folding,[],[f14,f30,f33]) ).
fof(f14,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f118,plain,
( spl10_7
| spl10_8 ),
inference(avatar_split_clause,[],[f40,f100,f94]) ).
fof(f40,plain,
( sk_c5 = sF4
| sk_c7 = sF6 ),
inference(definition_folding,[],[f21,f39,f36]) ).
fof(f21,axiom,
( sk_c5 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f116,plain,
( spl10_3
| spl10_2 ),
inference(avatar_split_clause,[],[f46,f71,f76]) ).
fof(f46,plain,
( sk_c7 = sF1
| sk_c7 = sF3 ),
inference(definition_folding,[],[f25,f31,f34]) ).
fof(f25,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f115,plain,
( spl10_9
| spl10_4 ),
inference(avatar_split_clause,[],[f65,f80,f104]) ).
fof(f65,plain,
( sk_c7 = sF8
| sk_c5 = sF0 ),
inference(definition_folding,[],[f9,f47,f30]) ).
fof(f9,axiom,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f114,plain,
( spl10_10
| spl10_7 ),
inference(avatar_split_clause,[],[f58,f94,f110]) ).
fof(f58,plain,
( sk_c7 = sF6
| sk_c6 = sF9 ),
inference(definition_folding,[],[f6,f51,f39]) ).
fof(f6,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f113,plain,
( spl10_5
| spl10_10 ),
inference(avatar_split_clause,[],[f56,f110,f85]) ).
fof(f56,plain,
( sk_c6 = sF9
| sk_c6 = sF5 ),
inference(definition_folding,[],[f8,f51,f37]) ).
fof(f8,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f108,plain,
( spl10_5
| spl10_8 ),
inference(avatar_split_clause,[],[f38,f100,f85]) ).
fof(f38,plain,
( sk_c5 = sF4
| sk_c6 = sF5 ),
inference(definition_folding,[],[f23,f37,f36]) ).
fof(f23,axiom,
( sk_c5 = multiply(sk_c2,sk_c7)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f107,plain,
( spl10_8
| spl10_9 ),
inference(avatar_split_clause,[],[f41,f104,f100]) ).
fof(f41,plain,
( sk_c5 = sF0
| sk_c5 = sF4 ),
inference(definition_folding,[],[f19,f36,f30]) ).
fof(f19,axiom,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c5 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f98,plain,
( spl10_2
| spl10_7 ),
inference(avatar_split_clause,[],[f50,f94,f71]) ).
fof(f50,plain,
( sk_c7 = sF6
| sk_c7 = sF1 ),
inference(definition_folding,[],[f26,f39,f31]) ).
fof(f26,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f97,plain,
( spl10_4
| spl10_7 ),
inference(avatar_split_clause,[],[f55,f94,f80]) ).
fof(f55,plain,
( sk_c7 = sF6
| sk_c7 = sF8 ),
inference(definition_folding,[],[f11,f47,f39]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f83,plain,
( spl10_3
| spl10_4 ),
inference(avatar_split_clause,[],[f61,f80,f76]) ).
fof(f61,plain,
( sk_c7 = sF8
| sk_c7 = sF3 ),
inference(definition_folding,[],[f10,f34,f47]) ).
fof(f10,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f74,plain,
( spl10_1
| spl10_2 ),
inference(avatar_split_clause,[],[f57,f71,f67]) ).
fof(f57,plain,
( sk_c7 = sF1
| sk_c6 = sF7 ),
inference(definition_folding,[],[f27,f43,f31]) ).
fof(f27,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP270-1 : 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_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n028.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 22:32:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.51/0.55 % (26628)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.51/0.56 % (26634)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.66/0.58 % (26626)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.66/0.58 % (26627)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.66/0.58 % (26651)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.66/0.58 % (26635)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.66/0.58 % (26627)Instruction limit reached!
% 1.66/0.58 % (26627)------------------------------
% 1.66/0.58 % (26627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.58 % (26651)Refutation not found, incomplete strategy% (26651)------------------------------
% 1.66/0.58 % (26651)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.58 % (26647)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 1.66/0.58 % (26627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.58 % (26627)Termination reason: Unknown
% 1.66/0.58 % (26627)Termination phase: Saturation
% 1.66/0.58
% 1.66/0.58 % (26627)Memory used [KB]: 5884
% 1.66/0.58 % (26627)Time elapsed: 0.150 s
% 1.66/0.58 % (26627)Instructions burned: 5 (million)
% 1.66/0.58 % (26627)------------------------------
% 1.66/0.58 % (26627)------------------------------
% 1.66/0.58 % (26635)Instruction limit reached!
% 1.66/0.58 % (26635)------------------------------
% 1.66/0.58 % (26635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.59 % (26643)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.66/0.59 % (26636)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 1.66/0.59 % (26653)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.66/0.59 % (26651)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.59 % (26651)Termination reason: Refutation not found, incomplete strategy
% 1.66/0.59
% 1.66/0.59 % (26651)Memory used [KB]: 5884
% 1.66/0.59 % (26651)Time elapsed: 0.152 s
% 1.66/0.59 % (26651)Instructions burned: 3 (million)
% 1.66/0.59 % (26651)------------------------------
% 1.66/0.59 % (26651)------------------------------
% 1.66/0.59 % (26635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.59 % (26635)Termination reason: Unknown
% 1.66/0.59 % (26635)Termination phase: Saturation
% 1.66/0.59
% 1.66/0.59 % (26635)Memory used [KB]: 5884
% 1.66/0.59 % (26635)Time elapsed: 0.156 s
% 1.66/0.59 % (26635)Instructions burned: 6 (million)
% 1.66/0.59 % (26635)------------------------------
% 1.66/0.59 % (26635)------------------------------
% 1.66/0.60 % (26648)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.66/0.60 % (26629)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.66/0.60 % (26629)Refutation not found, incomplete strategy% (26629)------------------------------
% 1.66/0.60 % (26629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.60 % (26629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.60 % (26629)Termination reason: Refutation not found, incomplete strategy
% 1.66/0.60
% 1.66/0.60 % (26629)Memory used [KB]: 5884
% 1.66/0.60 % (26629)Time elapsed: 0.175 s
% 1.66/0.60 % (26629)Instructions burned: 3 (million)
% 1.66/0.60 % (26629)------------------------------
% 1.66/0.60 % (26629)------------------------------
% 1.66/0.60 % (26630)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.66/0.61 % (26633)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.66/0.61 % (26633)Instruction limit reached!
% 1.66/0.61 % (26633)------------------------------
% 1.66/0.61 % (26633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.61 % (26633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.61 % (26633)Termination reason: Unknown
% 1.66/0.61 % (26633)Termination phase: Saturation
% 1.66/0.61
% 1.66/0.61 % (26633)Memory used [KB]: 5884
% 1.66/0.61 % (26633)Time elapsed: 0.183 s
% 1.66/0.61 % (26633)Instructions burned: 3 (million)
% 1.66/0.61 % (26633)------------------------------
% 1.66/0.61 % (26633)------------------------------
% 1.66/0.61 % (26628)Instruction limit reached!
% 1.66/0.61 % (26628)------------------------------
% 1.66/0.61 % (26628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.61 % (26628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.61 % (26628)Termination reason: Unknown
% 1.66/0.61 % (26628)Termination phase: Saturation
% 1.66/0.61
% 1.66/0.61 % (26628)Memory used [KB]: 6268
% 1.66/0.61 % (26628)Time elapsed: 0.183 s
% 1.66/0.61 % (26628)Instructions burned: 43 (million)
% 1.66/0.61 % (26628)------------------------------
% 1.66/0.61 % (26628)------------------------------
% 1.66/0.61 % (26653)Refutation not found, incomplete strategy% (26653)------------------------------
% 1.66/0.61 % (26653)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.61 % (26653)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.61 % (26653)Termination reason: Refutation not found, incomplete strategy
% 1.66/0.61
% 1.66/0.61 % (26653)Memory used [KB]: 5884
% 1.66/0.61 % (26653)Time elapsed: 0.182 s
% 1.66/0.61 % (26653)Instructions burned: 4 (million)
% 1.66/0.61 % (26653)------------------------------
% 1.66/0.61 % (26653)------------------------------
% 1.66/0.61 % (26652)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.66/0.61 % (26625)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.66/0.62 % (26632)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.66/0.62 % (26648)Refutation not found, incomplete strategy% (26648)------------------------------
% 1.66/0.62 % (26648)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.62 % (26648)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.62 % (26648)Termination reason: Refutation not found, incomplete strategy
% 1.66/0.62
% 1.66/0.62 % (26648)Memory used [KB]: 5884
% 1.66/0.62 % (26648)Time elapsed: 0.143 s
% 1.66/0.62 % (26648)Instructions burned: 3 (million)
% 1.66/0.62 % (26648)------------------------------
% 1.66/0.62 % (26648)------------------------------
% 1.66/0.62 % (26645)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.66/0.62 % (26644)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.66/0.62 % (26650)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.66/0.63 % (26638)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.66/0.63 % (26649)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.66/0.63 % (26640)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.66/0.63 TRYING [1]
% 1.66/0.63 % (26640)Instruction limit reached!
% 1.66/0.63 % (26640)------------------------------
% 1.66/0.63 % (26640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.63 % (26640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.63 % (26640)Termination reason: Unknown
% 1.66/0.63 % (26640)Termination phase: Finite model building SAT solving
% 1.66/0.63
% 1.66/0.63 % (26640)Memory used [KB]: 6012
% 1.66/0.63 % (26640)Time elapsed: 0.153 s
% 1.66/0.63 % (26640)Instructions burned: 7 (million)
% 1.66/0.63 % (26640)------------------------------
% 1.66/0.63 % (26640)------------------------------
% 1.66/0.63 % (26644)Instruction limit reached!
% 1.66/0.63 % (26644)------------------------------
% 1.66/0.63 % (26644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.63 % (26644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.63 % (26644)Termination reason: Unknown
% 1.66/0.63 % (26644)Termination phase: Saturation
% 1.66/0.63
% 1.66/0.63 % (26644)Memory used [KB]: 6012
% 1.66/0.63 % (26644)Time elapsed: 0.206 s
% 1.66/0.63 % (26644)Instructions burned: 7 (million)
% 1.66/0.63 % (26644)------------------------------
% 1.66/0.63 % (26644)------------------------------
% 1.66/0.63 % (26632)Refutation not found, incomplete strategy% (26632)------------------------------
% 1.66/0.63 % (26632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.63 % (26632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.63 % (26632)Termination reason: Refutation not found, incomplete strategy
% 1.66/0.63
% 1.66/0.63 % (26632)Memory used [KB]: 5884
% 1.66/0.63 % (26632)Time elapsed: 0.157 s
% 1.66/0.63 % (26632)Instructions burned: 3 (million)
% 1.66/0.63 % (26632)------------------------------
% 1.66/0.63 % (26632)------------------------------
% 1.66/0.64 % (26645)Instruction limit reached!
% 1.66/0.64 % (26645)------------------------------
% 1.66/0.64 % (26645)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.64 % (26645)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.64 % (26645)Termination reason: Unknown
% 1.66/0.64 % (26645)Termination phase: Saturation
% 1.66/0.64
% 1.66/0.64 % (26645)Memory used [KB]: 1407
% 1.66/0.64 % (26645)Time elapsed: 0.217 s
% 1.66/0.64 % (26645)Instructions burned: 7 (million)
% 1.66/0.64 % (26645)------------------------------
% 1.66/0.64 % (26645)------------------------------
% 1.66/0.64 % (26641)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.66/0.64 % (26643)Instruction limit reached!
% 1.66/0.64 % (26643)------------------------------
% 1.66/0.64 % (26643)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.64 % (26643)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.64 % (26643)Termination reason: Unknown
% 1.66/0.64 % (26643)Termination phase: Saturation
% 1.66/0.64
% 1.66/0.64 % (26643)Memory used [KB]: 10746
% 1.66/0.64 % (26643)Time elapsed: 0.205 s
% 1.66/0.64 % (26643)Instructions burned: 28 (million)
% 1.66/0.64 % (26643)------------------------------
% 1.66/0.64 % (26643)------------------------------
% 1.66/0.65 % (26638)Instruction limit reached!
% 1.66/0.65 % (26638)------------------------------
% 1.66/0.65 % (26638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.65 % (26638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.65 % (26638)Termination reason: Unknown
% 1.66/0.65 % (26638)Termination phase: Saturation
% 1.66/0.65
% 1.66/0.65 % (26638)Memory used [KB]: 5884
% 1.66/0.65 % (26638)Time elapsed: 0.005 s
% 1.66/0.65 % (26638)Instructions burned: 4 (million)
% 1.66/0.65 % (26638)------------------------------
% 1.66/0.65 % (26638)------------------------------
% 2.28/0.65 % (26630)Instruction limit reached!
% 2.28/0.65 % (26630)------------------------------
% 2.28/0.65 % (26630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.65 % (26630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.65 % (26630)Termination reason: Unknown
% 2.28/0.65 % (26630)Termination phase: Saturation
% 2.28/0.65
% 2.28/0.65 % (26630)Memory used [KB]: 6140
% 2.28/0.65 % (26630)Time elapsed: 0.229 s
% 2.28/0.65 % (26630)Instructions burned: 25 (million)
% 2.28/0.65 % (26630)------------------------------
% 2.28/0.65 % (26630)------------------------------
% 2.28/0.65 % (26637)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 2.28/0.65 % (26637)Instruction limit reached!
% 2.28/0.65 % (26637)------------------------------
% 2.28/0.65 % (26637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.65 % (26637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.65 % (26637)Termination reason: Unknown
% 2.28/0.65 % (26637)Termination phase: Saturation
% 2.28/0.65
% 2.28/0.65 % (26637)Memory used [KB]: 5884
% 2.28/0.65 % (26637)Time elapsed: 0.223 s
% 2.28/0.65 % (26637)Instructions burned: 5 (million)
% 2.28/0.65 % (26637)------------------------------
% 2.28/0.65 % (26637)------------------------------
% 2.28/0.66 % (26634)Instruction limit reached!
% 2.28/0.66 % (26634)------------------------------
% 2.28/0.66 % (26634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.66 % (26634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.66 % (26634)Termination reason: Unknown
% 2.28/0.66 % (26634)Termination phase: Saturation
% 2.28/0.66
% 2.28/0.66 % (26634)Memory used [KB]: 6652
% 2.28/0.66 % (26634)Time elapsed: 0.229 s
% 2.28/0.66 % (26634)Instructions burned: 51 (million)
% 2.28/0.66 % (26634)------------------------------
% 2.28/0.66 % (26634)------------------------------
% 2.28/0.66 % (26636)Instruction limit reached!
% 2.28/0.66 % (26636)------------------------------
% 2.28/0.66 % (26636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.66 % (26636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.66 % (26636)Termination reason: Unknown
% 2.28/0.66 % (26636)Termination phase: Saturation
% 2.28/0.66
% 2.28/0.66 % (26636)Memory used [KB]: 6268
% 2.28/0.66 % (26636)Time elapsed: 0.223 s
% 2.28/0.66 % (26636)Instructions burned: 23 (million)
% 2.28/0.66 % (26636)------------------------------
% 2.28/0.66 % (26636)------------------------------
% 2.28/0.66 % (26641)Instruction limit reached!
% 2.28/0.66 % (26641)------------------------------
% 2.28/0.66 % (26641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.66 % (26641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.66 % (26641)Termination reason: Unknown
% 2.28/0.66 % (26641)Termination phase: Saturation
% 2.28/0.66
% 2.28/0.66 % (26641)Memory used [KB]: 1279
% 2.28/0.66 % (26641)Time elapsed: 0.003 s
% 2.28/0.66 % (26641)Instructions burned: 2 (million)
% 2.28/0.66 % (26641)------------------------------
% 2.28/0.66 % (26641)------------------------------
% 2.28/0.66 % (26626)Instruction limit reached!
% 2.28/0.66 % (26626)------------------------------
% 2.28/0.66 % (26626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.66 % (26631)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 2.28/0.66 % (26626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.66 % (26626)Termination reason: Unknown
% 2.28/0.66 % (26626)Termination phase: Saturation
% 2.28/0.66
% 2.28/0.66 % (26626)Memory used [KB]: 1791
% 2.28/0.66 % (26626)Time elapsed: 0.232 s
% 2.28/0.66 % (26626)Instructions burned: 43 (million)
% 2.28/0.66 % (26626)------------------------------
% 2.28/0.66 % (26626)------------------------------
% 2.28/0.67 % (26646)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 2.28/0.68 % (26654)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.44/0.68 % (26639)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 2.44/0.68 % (26642)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 2.44/0.71 % (26642)Instruction limit reached!
% 2.44/0.71 % (26642)------------------------------
% 2.44/0.71 % (26642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.71 % (26642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.71 % (26642)Termination reason: Unknown
% 2.44/0.71 % (26642)Termination phase: Saturation
% 2.44/0.71
% 2.44/0.71 % (26642)Memory used [KB]: 6012
% 2.44/0.71 % (26642)Time elapsed: 0.268 s
% 2.44/0.71 % (26642)Instructions burned: 8 (million)
% 2.44/0.71 % (26642)------------------------------
% 2.44/0.71 % (26642)------------------------------
% 2.44/0.72 % (26625)First to succeed.
% 2.56/0.75 % (26625)Refutation found. Thanks to Tanya!
% 2.56/0.75 % SZS status Unsatisfiable for theBenchmark
% 2.56/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 2.56/0.75 % (26625)------------------------------
% 2.56/0.75 % (26625)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.56/0.75 % (26625)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.56/0.75 % (26625)Termination reason: Refutation
% 2.56/0.75
% 2.56/0.75 % (26625)Memory used [KB]: 6396
% 2.56/0.75 % (26625)Time elapsed: 0.298 s
% 2.56/0.75 % (26625)Instructions burned: 37 (million)
% 2.56/0.75 % (26625)------------------------------
% 2.56/0.75 % (26625)------------------------------
% 2.56/0.75 % (26624)Success in time 0.38 s
%------------------------------------------------------------------------------