TSTP Solution File: GRP261-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP261-1 : 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 : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:21:04 EDT 2022
% Result : Unsatisfiable 0.19s 0.56s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 52
% Syntax : Number of formulae : 220 ( 4 unt; 0 def)
% Number of atoms : 802 ( 230 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1112 ( 530 ~; 564 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 75 ( 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1323,plain,
$false,
inference(avatar_sat_refutation,[],[f43,f52,f61,f62,f67,f72,f73,f74,f79,f80,f85,f86,f91,f92,f93,f94,f104,f105,f106,f107,f108,f109,f110,f111,f112,f113,f114,f115,f116,f117,f118,f294,f327,f353,f386,f410,f1063,f1212,f1264,f1272,f1285,f1297,f1322]) ).
fof(f1322,plain,
( ~ spl0_14
| ~ spl0_18
| ~ spl0_23
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1321]) ).
fof(f1321,plain,
( $false
| ~ spl0_14
| ~ spl0_18
| ~ spl0_23
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f1319,f1219]) ).
fof(f1219,plain,
( sk_c8 = inverse(identity)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f1218]) ).
fof(f1218,plain,
( spl0_24
<=> sk_c8 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f1319,plain,
( sk_c8 != inverse(identity)
| ~ spl0_14
| ~ spl0_18
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f1311]) ).
fof(f1311,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(identity)
| ~ spl0_14
| ~ spl0_18
| ~ spl0_23 ),
inference(superposition,[],[f1307,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f1307,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c8)
| sk_c8 != inverse(X6) )
| ~ spl0_14
| ~ spl0_18
| ~ spl0_23 ),
inference(backward_demodulation,[],[f1295,f384]) ).
fof(f384,plain,
( sk_c8 = sk_c6
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f383,plain,
( spl0_18
<=> sk_c8 = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1295,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c8)
| sk_c8 != inverse(X6) )
| ~ spl0_14
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1289,f1215]) ).
fof(f1215,plain,
( sk_c8 = sk_c7
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f1214]) ).
fof(f1214,plain,
( spl0_23
<=> sk_c8 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f1289,plain,
( ! [X6] :
( sk_c7 != inverse(X6)
| sk_c6 != multiply(X6,sk_c8) )
| ~ spl0_14
| ~ spl0_23 ),
inference(backward_demodulation,[],[f103,f1215]) ).
fof(f103,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c7)
| sk_c7 != inverse(X6) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl0_14
<=> ! [X6] :
( sk_c7 != inverse(X6)
| sk_c6 != multiply(X6,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1297,plain,
( spl0_18
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1296,f1214,f69,f64,f54,f45,f36,f383]) ).
fof(f36,plain,
( spl0_1
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f45,plain,
( spl0_3
<=> sk_c7 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f54,plain,
( spl0_5
<=> sk_c6 = multiply(sk_c2,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f64,plain,
( spl0_7
<=> multiply(sk_c1,sk_c8) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f69,plain,
( spl0_8
<=> sk_c7 = multiply(sk_c6,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1296,plain,
( sk_c8 = sk_c6
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1255,f1215]) ).
fof(f1255,plain,
( sk_c7 = sk_c6
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(backward_demodulation,[],[f56,f1253]) ).
fof(f1253,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1250,f1]) ).
fof(f1250,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(identity,X0))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(backward_demodulation,[],[f1176,f1236]) ).
fof(f1236,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f357,f1173]) ).
fof(f1173,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1170,f935]) ).
fof(f935,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f823,f1]) ).
fof(f823,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f357]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f1170,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(backward_demodulation,[],[f511,f1169]) ).
fof(f1169,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,X0)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1163,f506]) ).
fof(f506,plain,
( ! [X1] : multiply(sk_c1,X1) = multiply(sk_c7,multiply(sk_c1,X1))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f363,f412]) ).
fof(f412,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f411,f1]) ).
fof(f411,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f357]) ).
fof(f363,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f66]) ).
fof(f66,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f1163,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(backward_demodulation,[],[f439,f1160]) ).
fof(f1160,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,X0)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f558,f506]) ).
fof(f558,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = multiply(sk_c6,X0)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f364,f412]) ).
fof(f364,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c8,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f71]) ).
fof(f71,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f439,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f3,f436]) ).
fof(f436,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f414,f56]) ).
fof(f414,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f413,f1]) ).
fof(f413,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f358]) ).
fof(f358,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_3 ),
inference(superposition,[],[f2,f47]) ).
fof(f47,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f511,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c7,X0))
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f412,f363]) ).
fof(f357,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_1 ),
inference(superposition,[],[f2,f38]) ).
fof(f38,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f1176,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c2,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1162,f1169]) ).
fof(f1162,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c7,X0)) = multiply(sk_c1,X0)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(backward_demodulation,[],[f362,f1160]) ).
fof(f362,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| ~ spl0_5 ),
inference(superposition,[],[f3,f56]) ).
fof(f56,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f1285,plain,
( spl0_23
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1237,f69,f64,f54,f45,f36,f1214]) ).
fof(f1237,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f432,f1173]) ).
fof(f432,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f412,f66]) ).
fof(f1272,plain,
( spl0_24
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1238,f69,f64,f54,f45,f36,f1218]) ).
fof(f1238,plain,
( sk_c8 = inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(backward_demodulation,[],[f38,f1236]) ).
fof(f1264,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1263]) ).
fof(f1263,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| spl0_17 ),
inference(subsumption_resolution,[],[f1255,f381]) ).
fof(f381,plain,
( sk_c7 != sk_c6
| spl0_17 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f379,plain,
( spl0_17
<=> sk_c7 = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1212,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1211]) ).
fof(f1211,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f1210,f38]) ).
fof(f1210,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_7
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f1206]) ).
fof(f1206,plain,
( sk_c8 != inverse(sk_c1)
| sk_c7 != sk_c7
| ~ spl0_7
| ~ spl0_12 ),
inference(superposition,[],[f97,f66]) ).
fof(f97,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl0_12
<=> ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1063,plain,
( spl0_18
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f1048,f88,f69,f64,f54,f45,f40,f36,f383]) ).
fof(f40,plain,
( spl0_2
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f88,plain,
( spl0_11
<=> sk_c7 = multiply(sk_c3,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1048,plain,
( sk_c8 = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11 ),
inference(backward_demodulation,[],[f42,f1030]) ).
fof(f1030,plain,
( ! [X10] : multiply(sk_c5,X10) = X10
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11 ),
inference(backward_demodulation,[],[f961,f1026]) ).
fof(f1026,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1022,f959]) ).
fof(f959,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f957,f935]) ).
fof(f957,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11 ),
inference(backward_demodulation,[],[f511,f954]) ).
fof(f954,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,X0)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f949,f506]) ).
fof(f949,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11 ),
inference(backward_demodulation,[],[f937,f945]) ).
fof(f945,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c3,X0)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_11 ),
inference(backward_demodulation,[],[f433,f506]) ).
fof(f433,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = multiply(sk_c3,X0)
| ~ spl0_1
| ~ spl0_11 ),
inference(superposition,[],[f125,f412]) ).
fof(f125,plain,
( ! [X8] : multiply(sk_c3,multiply(sk_c8,X8)) = multiply(sk_c7,X8)
| ~ spl0_11 ),
inference(superposition,[],[f3,f90]) ).
fof(f90,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f937,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_11 ),
inference(backward_demodulation,[],[f439,f936]) ).
fof(f936,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,X0)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_11 ),
inference(backward_demodulation,[],[f558,f433]) ).
fof(f1022,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,X0)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11 ),
inference(backward_demodulation,[],[f954,f1003]) ).
fof(f1003,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11 ),
inference(superposition,[],[f959,f432]) ).
fof(f961,plain,
( ! [X10] : multiply(sk_c1,X10) = multiply(sk_c5,X10)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11 ),
inference(backward_demodulation,[],[f948,f959]) ).
fof(f948,plain,
( ! [X10] : multiply(sk_c5,multiply(sk_c8,X10)) = multiply(sk_c1,X10)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11 ),
inference(backward_demodulation,[],[f938,f945]) ).
fof(f938,plain,
( ! [X10] : multiply(sk_c5,multiply(sk_c8,X10)) = multiply(sk_c3,X10)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_11 ),
inference(backward_demodulation,[],[f127,f936]) ).
fof(f127,plain,
( ! [X10] : multiply(sk_c6,X10) = multiply(sk_c5,multiply(sk_c8,X10))
| ~ spl0_2 ),
inference(superposition,[],[f3,f42]) ).
fof(f42,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f410,plain,
( ~ spl0_9
| ~ spl0_2
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f376,f99,f40,f76]) ).
fof(f76,plain,
( spl0_9
<=> sk_c6 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f99,plain,
( spl0_13
<=> ! [X7] :
( sk_c6 != inverse(X7)
| sk_c6 != multiply(X7,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f376,plain,
( sk_c6 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f375]) ).
fof(f375,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f100,f42]) ).
fof(f100,plain,
( ! [X7] :
( sk_c6 != multiply(X7,sk_c8)
| sk_c6 != inverse(X7) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f386,plain,
( ~ spl0_17
| ~ spl0_18
| ~ spl0_1
| ~ spl0_7
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f377,f99,f64,f36,f383,f379]) ).
fof(f377,plain,
( sk_c8 != sk_c6
| sk_c7 != sk_c6
| ~ spl0_1
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f372,f38]) ).
fof(f372,plain,
( sk_c6 != inverse(sk_c1)
| sk_c7 != sk_c6
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f100,f66]) ).
fof(f353,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f352]) ).
fof(f352,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f350,f264]) ).
fof(f264,plain,
( sk_c8 = inverse(identity)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[],[f60,f260]) ).
fof(f260,plain,
( identity = sk_c3
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f120,f240]) ).
fof(f240,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[],[f181,f232]) ).
fof(f232,plain,
( ! [X1] : multiply(sk_c5,X1) = X1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f180,f181]) ).
fof(f180,plain,
( ! [X10] : multiply(sk_c5,multiply(sk_c8,X10)) = multiply(sk_c8,X10)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[],[f127,f174]) ).
fof(f174,plain,
( sk_c8 = sk_c6
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[],[f84,f173]) ).
fof(f173,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f170,f144]) ).
fof(f144,plain,
( sk_c8 = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f135,f42]) ).
fof(f135,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f134,f1]) ).
fof(f134,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f121]) ).
fof(f121,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl0_9 ),
inference(superposition,[],[f2,f78]) ).
fof(f78,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f170,plain,
( multiply(sk_c4,sk_c7) = multiply(sk_c6,sk_c6)
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f126,f136]) ).
fof(f136,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f131,f84]) ).
fof(f131,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f130,f1]) ).
fof(f130,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c4,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f119]) ).
fof(f119,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl0_4 ),
inference(superposition,[],[f2,f51]) ).
fof(f51,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl0_4
<=> sk_c7 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f126,plain,
( ! [X9] : multiply(sk_c4,multiply(sk_c7,X9)) = multiply(sk_c6,X9)
| ~ spl0_10 ),
inference(superposition,[],[f3,f84]) ).
fof(f84,plain,
( multiply(sk_c4,sk_c7) = sk_c6
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f82,plain,
( spl0_10
<=> multiply(sk_c4,sk_c7) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f181,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[],[f135,f174]) ).
fof(f120,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl0_6 ),
inference(superposition,[],[f2,f60]) ).
fof(f60,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl0_6
<=> sk_c8 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f350,plain,
( sk_c8 != inverse(identity)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f344]) ).
fof(f344,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(identity)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f343,f1]) ).
fof(f343,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c8)
| sk_c8 != inverse(X6) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f342,f174]) ).
fof(f342,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| sk_c6 != multiply(X6,sk_c8) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f341,f275]) ).
fof(f275,plain,
( sk_c8 = sk_c7
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[],[f182,f268]) ).
fof(f268,plain,
( ! [X8] : multiply(sk_c7,X8) = X8
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f267,f1]) ).
fof(f267,plain,
( ! [X8] : multiply(sk_c7,X8) = multiply(identity,X8)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[],[f245,f260]) ).
fof(f245,plain,
( ! [X8] : multiply(sk_c7,X8) = multiply(sk_c3,X8)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[],[f125,f240]) ).
fof(f182,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[],[f136,f174]) ).
fof(f341,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| sk_c6 != multiply(X6,sk_c7) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f103,f275]) ).
fof(f327,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f326]) ).
fof(f326,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f314,f264]) ).
fof(f314,plain,
( sk_c8 != inverse(identity)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f309]) ).
fof(f309,plain,
( sk_c8 != inverse(identity)
| sk_c8 != sk_c8
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f307,f1]) ).
fof(f307,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f97,f275]) ).
fof(f294,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f293]) ).
fof(f293,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f255,f186]) ).
fof(f186,plain,
( sk_c8 != sk_c7
| ~ spl0_2
| ~ spl0_4
| spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f176,f184]) ).
fof(f184,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[],[f144,f174]) ).
fof(f176,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_4
| spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[],[f70,f174]) ).
fof(f70,plain,
( sk_c7 != multiply(sk_c6,sk_c8)
| spl0_8 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f255,plain,
( sk_c8 = sk_c7
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f240,f140]) ).
fof(f140,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_6
| ~ spl0_11 ),
inference(superposition,[],[f133,f90]) ).
fof(f133,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f132,f1]) ).
fof(f132,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f120]) ).
fof(f118,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f32,f69,f76]) ).
fof(f32,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c6 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f117,plain,
( spl0_7
| spl0_9 ),
inference(avatar_split_clause,[],[f8,f76,f64]) ).
fof(f8,axiom,
( sk_c6 = inverse(sk_c5)
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f116,plain,
( spl0_7
| spl0_11 ),
inference(avatar_split_clause,[],[f4,f88,f64]) ).
fof(f4,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f115,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f13,f49,f36]) ).
fof(f13,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f114,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f33,f40,f69]) ).
fof(f33,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c7 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f113,plain,
( spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f22,f88,f45]) ).
fof(f22,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f112,plain,
( spl0_10
| spl0_1 ),
inference(avatar_split_clause,[],[f12,f36,f82]) ).
fof(f12,axiom,
( sk_c8 = inverse(sk_c1)
| multiply(sk_c4,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f111,plain,
( spl0_8
| spl0_11 ),
inference(avatar_split_clause,[],[f28,f88,f69]) ).
fof(f28,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c7 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f110,plain,
( spl0_5
| spl0_2 ),
inference(avatar_split_clause,[],[f21,f40,f54]) ).
fof(f21,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f109,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f11,f58,f36]) ).
fof(f11,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f108,plain,
( spl0_8
| spl0_10 ),
inference(avatar_split_clause,[],[f30,f82,f69]) ).
fof(f30,axiom,
( multiply(sk_c4,sk_c7) = sk_c6
| sk_c7 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f107,plain,
( spl0_7
| spl0_10 ),
inference(avatar_split_clause,[],[f6,f82,f64]) ).
fof(f6,axiom,
( multiply(sk_c4,sk_c7) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f106,plain,
( spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f26,f76,f45]) ).
fof(f26,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f105,plain,
( spl0_11
| spl0_1 ),
inference(avatar_split_clause,[],[f10,f36,f88]) ).
fof(f10,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f104,plain,
( spl0_12
| spl0_13
| spl0_14
| ~ spl0_8
| spl0_14
| spl0_12 ),
inference(avatar_split_clause,[],[f34,f96,f102,f69,f102,f99,f96]) ).
fof(f34,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c8 != inverse(X5)
| sk_c6 != multiply(X4,sk_c7)
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c7 != inverse(X6)
| sk_c6 != inverse(X7)
| sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X5,sk_c8)
| sk_c7 != inverse(X4)
| sk_c6 != multiply(X6,sk_c7)
| sk_c6 != multiply(X7,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f94,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f5,f64,f58]) ).
fof(f5,axiom,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f93,plain,
( spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f27,f45,f40]) ).
fof(f27,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f92,plain,
( spl0_1
| spl0_9 ),
inference(avatar_split_clause,[],[f14,f76,f36]) ).
fof(f14,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f91,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f16,f54,f88]) ).
fof(f16,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f86,plain,
( spl0_5
| spl0_10 ),
inference(avatar_split_clause,[],[f18,f82,f54]) ).
fof(f18,axiom,
( multiply(sk_c4,sk_c7) = sk_c6
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f85,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f24,f45,f82]) ).
fof(f24,axiom,
( sk_c7 = inverse(sk_c2)
| multiply(sk_c4,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f80,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f7,f49,f64]) ).
fof(f7,axiom,
( sk_c7 = inverse(sk_c4)
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f79,plain,
( spl0_5
| spl0_9 ),
inference(avatar_split_clause,[],[f20,f76,f54]) ).
fof(f20,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f74,plain,
( spl0_6
| spl0_3 ),
inference(avatar_split_clause,[],[f23,f45,f58]) ).
fof(f23,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f73,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f31,f49,f69]) ).
fof(f31,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c7 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f72,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f29,f58,f69]) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c7 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f67,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f9,f40,f64]) ).
fof(f9,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f62,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f19,f54,f49]) ).
fof(f19,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f61,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f17,f58,f54]) ).
fof(f17,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f52,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f25,f49,f45]) ).
fof(f25,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f43,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f15,f40,f36]) ).
fof(f15,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP261-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % 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 : n019.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 22:26:20 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.48 % (29263)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)
% 0.19/0.48 % (29272)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)
% 0.19/0.50 % (29252)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)
% 0.19/0.50 TRYING [1]
% 0.19/0.50 TRYING [2]
% 0.19/0.50 TRYING [3]
% 0.19/0.50 % (29261)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)
% 0.19/0.51 % (29276)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.51 % (29262)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (29254)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)
% 0.19/0.52 TRYING [4]
% 0.19/0.52 % (29274)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)
% 0.19/0.52 % (29266)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)
% 0.19/0.52 % (29259)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (29256)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (29281)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)
% 0.19/0.52 % (29260)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (29257)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)
% 0.19/0.52 % (29269)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.52 % (29271)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)
% 0.19/0.53 % (29260)Instruction limit reached!
% 0.19/0.53 % (29260)------------------------------
% 0.19/0.53 % (29260)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (29258)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (29280)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 % (29255)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)
% 0.19/0.53 % (29260)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (29260)Termination reason: Unknown
% 0.19/0.53 % (29260)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (29260)Memory used [KB]: 5500
% 0.19/0.53 % (29260)Time elapsed: 0.126 s
% 0.19/0.53 % (29260)Instructions burned: 3 (million)
% 0.19/0.53 % (29260)------------------------------
% 0.19/0.53 % (29260)------------------------------
% 0.19/0.53 % (29264)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53 % (29259)Instruction limit reached!
% 0.19/0.53 % (29259)------------------------------
% 0.19/0.53 % (29259)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (29273)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53 % (29278)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)
% 0.19/0.53 % (29279)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)
% 0.19/0.54 % (29253)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)
% 0.19/0.54 TRYING [1]
% 0.19/0.54 % (29265)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (29259)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (29259)Termination reason: Unknown
% 0.19/0.54 % (29259)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (29259)Memory used [KB]: 5500
% 0.19/0.54 % (29259)Time elapsed: 0.127 s
% 0.19/0.54 % (29259)Instructions burned: 7 (million)
% 0.19/0.54 % (29259)------------------------------
% 0.19/0.54 % (29259)------------------------------
% 0.19/0.54 TRYING [2]
% 0.19/0.54 % (29272)First to succeed.
% 0.19/0.54 % (29268)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)
% 0.19/0.54 TRYING [3]
% 0.19/0.55 % (29270)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.55 % (29275)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)
% 0.19/0.55 % (29267)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.55 TRYING [1]
% 0.19/0.55 TRYING [2]
% 0.19/0.55 TRYING [3]
% 0.19/0.56 % (29277)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.56 % (29272)Refutation found. Thanks to Tanya!
% 0.19/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56 % (29272)------------------------------
% 0.19/0.56 % (29272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (29272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (29272)Termination reason: Refutation
% 0.19/0.56
% 0.19/0.56 % (29272)Memory used [KB]: 6012
% 0.19/0.56 % (29272)Time elapsed: 0.134 s
% 0.19/0.56 % (29272)Instructions burned: 50 (million)
% 0.19/0.56 % (29272)------------------------------
% 0.19/0.56 % (29272)------------------------------
% 0.19/0.56 % (29251)Success in time 0.211 s
%------------------------------------------------------------------------------