TSTP Solution File: GRP363-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP363-1 : 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 : n026.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 16:21:25 EDT 2022
% Result : Unsatisfiable 0.22s 0.57s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 45
% Syntax : Number of formulae : 216 ( 7 unt; 0 def)
% Number of atoms : 947 ( 253 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 1450 ( 719 ~; 714 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f521,plain,
$false,
inference(avatar_sat_refutation,[],[f42,f47,f56,f61,f66,f71,f72,f73,f74,f75,f80,f81,f82,f83,f84,f89,f90,f98,f99,f100,f108,f109,f113,f114,f115,f116,f117,f190,f205,f217,f229,f459,f470,f476,f491,f503,f520]) ).
fof(f520,plain,
( ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f519]) ).
fof(f519,plain,
( $false
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f518]) ).
fof(f518,plain,
( identity != identity
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10
| ~ spl2_12 ),
inference(superposition,[],[f516,f452]) ).
fof(f452,plain,
( identity = inverse(identity)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10 ),
inference(backward_demodulation,[],[f434,f450]) ).
fof(f450,plain,
( identity = sk_c2
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10 ),
inference(forward_demodulation,[],[f444,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f444,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10 ),
inference(backward_demodulation,[],[f359,f433]) ).
fof(f433,plain,
( identity = sk_c6
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10 ),
inference(forward_demodulation,[],[f430,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f430,plain,
( sk_c6 = multiply(identity,identity)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10 ),
inference(backward_demodulation,[],[f336,f428]) ).
fof(f428,plain,
( identity = sk_c3
| ~ spl2_1
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7 ),
inference(forward_demodulation,[],[f426,f2]) ).
fof(f426,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl2_1
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7 ),
inference(superposition,[],[f125,f331]) ).
fof(f331,plain,
( identity = multiply(identity,sk_c3)
| ~ spl2_1
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7 ),
inference(backward_demodulation,[],[f307,f324]) ).
fof(f324,plain,
( identity = sk_c7
| ~ spl2_1
| ~ spl2_6
| ~ spl2_7 ),
inference(forward_demodulation,[],[f322,f2]) ).
fof(f322,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl2_1
| ~ spl2_6
| ~ spl2_7 ),
inference(backward_demodulation,[],[f310,f317]) ).
fof(f317,plain,
( sk_c6 = sk_c5
| ~ spl2_1
| ~ spl2_6
| ~ spl2_7 ),
inference(backward_demodulation,[],[f37,f316]) ).
fof(f316,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl2_6
| ~ spl2_7 ),
inference(forward_demodulation,[],[f314,f65]) ).
fof(f65,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl2_7
<=> sk_c6 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
fof(f314,plain,
( sk_c6 = multiply(inverse(sk_c2),sk_c7)
| ~ spl2_6 ),
inference(superposition,[],[f125,f60]) ).
fof(f60,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl2_6
<=> sk_c7 = multiply(sk_c2,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f37,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f35,plain,
( spl2_1
<=> sk_c5 = multiply(sk_c6,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f310,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c5)
| ~ spl2_1 ),
inference(superposition,[],[f125,f37]) ).
fof(f307,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl2_5 ),
inference(superposition,[],[f2,f55]) ).
fof(f55,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f53,plain,
( spl2_5
<=> sk_c7 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f125,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f122,f1]) ).
fof(f122,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
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(f336,plain,
( sk_c6 = multiply(sk_c3,identity)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10 ),
inference(forward_demodulation,[],[f328,f335]) ).
fof(f335,plain,
( sk_c6 = sk_c4
| ~ spl2_1
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7 ),
inference(forward_demodulation,[],[f332,f134]) ).
fof(f134,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f125,f1]) ).
fof(f332,plain,
( sk_c4 = multiply(inverse(identity),sk_c6)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7 ),
inference(backward_demodulation,[],[f312,f324]) ).
fof(f312,plain,
( sk_c4 = multiply(inverse(sk_c7),sk_c6)
| ~ spl2_3 ),
inference(superposition,[],[f125,f46]) ).
fof(f46,plain,
( sk_c6 = multiply(sk_c7,sk_c4)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f44,plain,
( spl2_3
<=> sk_c6 = multiply(sk_c7,sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f328,plain,
( sk_c4 = multiply(sk_c3,identity)
| ~ spl2_1
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10 ),
inference(backward_demodulation,[],[f88,f324]) ).
fof(f88,plain,
( sk_c4 = multiply(sk_c3,sk_c7)
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl2_10
<=> sk_c4 = multiply(sk_c3,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
fof(f359,plain,
( sk_c2 = multiply(inverse(sk_c6),identity)
| ~ spl2_7 ),
inference(superposition,[],[f125,f247]) ).
fof(f247,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl2_7 ),
inference(superposition,[],[f2,f65]) ).
fof(f434,plain,
( identity = inverse(sk_c2)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10 ),
inference(backward_demodulation,[],[f65,f433]) ).
fof(f516,plain,
( identity != inverse(identity)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f511]) ).
fof(f511,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10
| ~ spl2_12 ),
inference(superposition,[],[f506,f1]) ).
fof(f506,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10
| ~ spl2_12 ),
inference(forward_demodulation,[],[f505,f436]) ).
fof(f436,plain,
( identity = sk_c5
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10 ),
inference(backward_demodulation,[],[f317,f433]) ).
fof(f505,plain,
( ! [X3] :
( sk_c5 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10
| ~ spl2_12 ),
inference(forward_demodulation,[],[f504,f433]) ).
fof(f504,plain,
( ! [X3] :
( sk_c5 != multiply(X3,sk_c6)
| identity != inverse(X3) )
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10
| ~ spl2_12 ),
inference(forward_demodulation,[],[f97,f433]) ).
fof(f97,plain,
( ! [X3] :
( sk_c6 != inverse(X3)
| sk_c5 != multiply(X3,sk_c6) )
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl2_12
<=> ! [X3] :
( sk_c5 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).
fof(f503,plain,
( ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f502]) ).
fof(f502,plain,
( $false
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f501]) ).
fof(f501,plain,
( identity != identity
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10
| ~ spl2_14 ),
inference(superposition,[],[f500,f1]) ).
fof(f500,plain,
( identity != multiply(identity,identity)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f499]) ).
fof(f499,plain,
( identity != multiply(identity,identity)
| identity != identity
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10
| ~ spl2_14 ),
inference(forward_demodulation,[],[f495,f452]) ).
fof(f495,plain,
( identity != multiply(identity,identity)
| identity != inverse(identity)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10
| ~ spl2_14 ),
inference(superposition,[],[f494,f1]) ).
fof(f494,plain,
( ! [X6] :
( identity != multiply(identity,multiply(X6,identity))
| identity != inverse(X6) )
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10
| ~ spl2_14 ),
inference(forward_demodulation,[],[f493,f324]) ).
fof(f493,plain,
( ! [X6] :
( sk_c7 != inverse(X6)
| identity != multiply(identity,multiply(X6,identity)) )
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10
| ~ spl2_14 ),
inference(forward_demodulation,[],[f492,f433]) ).
fof(f492,plain,
( ! [X6] :
( sk_c6 != multiply(identity,multiply(X6,identity))
| sk_c7 != inverse(X6) )
| ~ spl2_1
| ~ spl2_6
| ~ spl2_7
| ~ spl2_14 ),
inference(forward_demodulation,[],[f107,f324]) ).
fof(f107,plain,
( ! [X6] :
( sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
| sk_c7 != inverse(X6) )
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl2_14
<=> ! [X6] :
( sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
| sk_c7 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).
fof(f491,plain,
( ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10
| ~ spl2_15 ),
inference(avatar_contradiction_clause,[],[f490]) ).
fof(f490,plain,
( $false
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f489]) ).
fof(f489,plain,
( identity != identity
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10
| ~ spl2_15 ),
inference(superposition,[],[f488,f452]) ).
fof(f488,plain,
( identity != inverse(identity)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10
| ~ spl2_15 ),
inference(forward_demodulation,[],[f487,f452]) ).
fof(f487,plain,
( identity != inverse(inverse(identity))
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f485]) ).
fof(f485,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10
| ~ spl2_15 ),
inference(superposition,[],[f482,f2]) ).
fof(f482,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10
| ~ spl2_15 ),
inference(forward_demodulation,[],[f481,f324]) ).
fof(f481,plain,
( ! [X4] :
( sk_c7 != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10
| ~ spl2_15 ),
inference(forward_demodulation,[],[f480,f433]) ).
fof(f480,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) )
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10
| ~ spl2_15 ),
inference(forward_demodulation,[],[f112,f433]) ).
fof(f112,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) )
| ~ spl2_15 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl2_15
<=> ! [X4] :
( sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).
fof(f476,plain,
( ~ spl2_1
| spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10 ),
inference(avatar_contradiction_clause,[],[f475]) ).
fof(f475,plain,
( $false
| ~ spl2_1
| spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10 ),
inference(trivial_inequality_removal,[],[f474]) ).
fof(f474,plain,
( identity != identity
| ~ spl2_1
| spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10 ),
inference(superposition,[],[f446,f1]) ).
fof(f446,plain,
( identity != multiply(identity,identity)
| ~ spl2_1
| spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_10 ),
inference(backward_demodulation,[],[f411,f433]) ).
fof(f411,plain,
( identity != multiply(sk_c6,sk_c6)
| ~ spl2_1
| spl2_2
| ~ spl2_6
| ~ spl2_7 ),
inference(forward_demodulation,[],[f410,f317]) ).
fof(f410,plain,
( identity != multiply(sk_c6,sk_c5)
| ~ spl2_1
| spl2_2
| ~ spl2_6
| ~ spl2_7 ),
inference(forward_demodulation,[],[f40,f324]) ).
fof(f40,plain,
( multiply(sk_c6,sk_c5) != sk_c7
| spl2_2 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f39,plain,
( spl2_2
<=> multiply(sk_c6,sk_c5) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f470,plain,
( ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| spl2_8
| ~ spl2_10 ),
inference(avatar_contradiction_clause,[],[f469]) ).
fof(f469,plain,
( $false
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| spl2_8
| ~ spl2_10 ),
inference(trivial_inequality_removal,[],[f466]) ).
fof(f466,plain,
( identity != identity
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| spl2_8
| ~ spl2_10 ),
inference(superposition,[],[f437,f452]) ).
fof(f437,plain,
( identity != inverse(identity)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| spl2_8
| ~ spl2_10 ),
inference(backward_demodulation,[],[f318,f433]) ).
fof(f318,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl2_1
| ~ spl2_6
| ~ spl2_7
| spl2_8 ),
inference(backward_demodulation,[],[f69,f317]) ).
fof(f69,plain,
( sk_c5 != inverse(sk_c6)
| spl2_8 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl2_8
<=> sk_c5 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).
fof(f459,plain,
( ~ spl2_1
| ~ spl2_3
| ~ spl2_4
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| spl2_9
| ~ spl2_10 ),
inference(avatar_contradiction_clause,[],[f458]) ).
fof(f458,plain,
( $false
| ~ spl2_1
| ~ spl2_3
| ~ spl2_4
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| spl2_9
| ~ spl2_10 ),
inference(trivial_inequality_removal,[],[f457]) ).
fof(f457,plain,
( identity != identity
| ~ spl2_1
| ~ spl2_3
| ~ spl2_4
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7
| spl2_9
| ~ spl2_10 ),
inference(superposition,[],[f413,f433]) ).
fof(f413,plain,
( identity != sk_c6
| ~ spl2_1
| ~ spl2_4
| ~ spl2_6
| ~ spl2_7
| spl2_9 ),
inference(forward_demodulation,[],[f412,f327]) ).
fof(f327,plain,
( identity = multiply(sk_c2,sk_c6)
| ~ spl2_1
| ~ spl2_6
| ~ spl2_7 ),
inference(backward_demodulation,[],[f60,f324]) ).
fof(f412,plain,
( sk_c6 != multiply(sk_c2,sk_c6)
| ~ spl2_1
| ~ spl2_4
| ~ spl2_6
| ~ spl2_7
| spl2_9 ),
inference(backward_demodulation,[],[f409,f362]) ).
fof(f362,plain,
( sk_c2 = sk_c1
| ~ spl2_4
| ~ spl2_7 ),
inference(backward_demodulation,[],[f139,f359]) ).
fof(f139,plain,
( sk_c1 = multiply(inverse(sk_c6),identity)
| ~ spl2_4 ),
inference(superposition,[],[f125,f118]) ).
fof(f118,plain,
( identity = multiply(sk_c6,sk_c1)
| ~ spl2_4 ),
inference(superposition,[],[f2,f51]) ).
fof(f51,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl2_4
<=> sk_c6 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f409,plain,
( sk_c6 != multiply(sk_c1,sk_c6)
| ~ spl2_1
| ~ spl2_6
| ~ spl2_7
| spl2_9 ),
inference(forward_demodulation,[],[f78,f317]) ).
fof(f78,plain,
( sk_c5 != multiply(sk_c1,sk_c6)
| spl2_9 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f77,plain,
( spl2_9
<=> sk_c5 = multiply(sk_c1,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
fof(f229,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9
| ~ spl2_15 ),
inference(avatar_contradiction_clause,[],[f228]) ).
fof(f228,plain,
( $false
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f227]) ).
fof(f227,plain,
( identity != identity
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9
| ~ spl2_15 ),
inference(superposition,[],[f225,f169]) ).
fof(f169,plain,
( identity = inverse(identity)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9 ),
inference(backward_demodulation,[],[f151,f167]) ).
fof(f167,plain,
( identity = sk_c6
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9 ),
inference(backward_demodulation,[],[f156,f165]) ).
fof(f165,plain,
( identity = multiply(sk_c6,identity)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9 ),
inference(backward_demodulation,[],[f118,f161]) ).
fof(f161,plain,
( identity = sk_c1
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9 ),
inference(forward_demodulation,[],[f160,f1]) ).
fof(f160,plain,
( sk_c1 = multiply(identity,identity)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9 ),
inference(forward_demodulation,[],[f139,f151]) ).
fof(f156,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9 ),
inference(backward_demodulation,[],[f145,f150]) ).
fof(f150,plain,
( identity = sk_c5
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9 ),
inference(forward_demodulation,[],[f147,f119]) ).
fof(f119,plain,
( identity = multiply(sk_c5,sk_c6)
| ~ spl2_8 ),
inference(superposition,[],[f2,f70]) ).
fof(f70,plain,
( sk_c5 = inverse(sk_c6)
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f147,plain,
( sk_c5 = multiply(sk_c5,sk_c6)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9 ),
inference(backward_demodulation,[],[f143,f146]) ).
fof(f146,plain,
( sk_c6 = sk_c7
| ~ spl2_2
| ~ spl2_4
| ~ spl2_9 ),
inference(backward_demodulation,[],[f41,f145]) ).
fof(f41,plain,
( multiply(sk_c6,sk_c5) = sk_c7
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f143,plain,
( sk_c5 = multiply(sk_c5,sk_c7)
| ~ spl2_2
| ~ spl2_8 ),
inference(forward_demodulation,[],[f138,f70]) ).
fof(f138,plain,
( sk_c5 = multiply(inverse(sk_c6),sk_c7)
| ~ spl2_2 ),
inference(superposition,[],[f125,f41]) ).
fof(f145,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl2_4
| ~ spl2_9 ),
inference(forward_demodulation,[],[f141,f51]) ).
fof(f141,plain,
( sk_c6 = multiply(inverse(sk_c1),sk_c5)
| ~ spl2_9 ),
inference(superposition,[],[f125,f79]) ).
fof(f79,plain,
( sk_c5 = multiply(sk_c1,sk_c6)
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f151,plain,
( identity = inverse(sk_c6)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9 ),
inference(backward_demodulation,[],[f70,f150]) ).
fof(f225,plain,
( identity != inverse(identity)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f221]) ).
fof(f221,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9
| ~ spl2_15 ),
inference(superposition,[],[f220,f1]) ).
fof(f220,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9
| ~ spl2_15 ),
inference(forward_demodulation,[],[f219,f168]) ).
fof(f168,plain,
( identity = sk_c7
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9 ),
inference(backward_demodulation,[],[f146,f167]) ).
fof(f219,plain,
( ! [X4] :
( sk_c7 != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9
| ~ spl2_15 ),
inference(forward_demodulation,[],[f218,f167]) ).
fof(f218,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9
| ~ spl2_15 ),
inference(forward_demodulation,[],[f112,f167]) ).
fof(f217,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f216]) ).
fof(f216,plain,
( $false
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f215]) ).
fof(f215,plain,
( identity != identity
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9
| ~ spl2_14 ),
inference(superposition,[],[f214,f1]) ).
fof(f214,plain,
( identity != multiply(identity,identity)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f213]) ).
fof(f213,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9
| ~ spl2_14 ),
inference(forward_demodulation,[],[f209,f169]) ).
fof(f209,plain,
( identity != multiply(identity,identity)
| identity != inverse(identity)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9
| ~ spl2_14 ),
inference(superposition,[],[f208,f1]) ).
fof(f208,plain,
( ! [X6] :
( identity != multiply(identity,multiply(X6,identity))
| identity != inverse(X6) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9
| ~ spl2_14 ),
inference(forward_demodulation,[],[f207,f167]) ).
fof(f207,plain,
( ! [X6] :
( sk_c6 != multiply(identity,multiply(X6,identity))
| identity != inverse(X6) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9
| ~ spl2_14 ),
inference(forward_demodulation,[],[f206,f168]) ).
fof(f206,plain,
( ! [X6] :
( sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
| identity != inverse(X6) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9
| ~ spl2_14 ),
inference(forward_demodulation,[],[f107,f168]) ).
fof(f205,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f204]) ).
fof(f204,plain,
( $false
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f203]) ).
fof(f203,plain,
( identity != identity
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9
| ~ spl2_12 ),
inference(superposition,[],[f201,f169]) ).
fof(f201,plain,
( identity != inverse(identity)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f197]) ).
fof(f197,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9
| ~ spl2_12 ),
inference(superposition,[],[f196,f1]) ).
fof(f196,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9
| ~ spl2_12 ),
inference(forward_demodulation,[],[f195,f167]) ).
fof(f195,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| sk_c6 != inverse(X3) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9
| ~ spl2_12 ),
inference(forward_demodulation,[],[f194,f150]) ).
fof(f194,plain,
( ! [X3] :
( sk_c5 != multiply(X3,identity)
| sk_c6 != inverse(X3) )
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9
| ~ spl2_12 ),
inference(forward_demodulation,[],[f97,f167]) ).
fof(f190,plain,
( spl2_1
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9 ),
inference(avatar_contradiction_clause,[],[f189]) ).
fof(f189,plain,
( $false
| spl2_1
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9 ),
inference(trivial_inequality_removal,[],[f188]) ).
fof(f188,plain,
( identity != identity
| spl2_1
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9 ),
inference(superposition,[],[f172,f1]) ).
fof(f172,plain,
( identity != multiply(identity,identity)
| spl2_1
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9 ),
inference(backward_demodulation,[],[f159,f167]) ).
fof(f159,plain,
( identity != multiply(sk_c6,sk_c6)
| spl2_1
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8
| ~ spl2_9 ),
inference(forward_demodulation,[],[f149,f150]) ).
fof(f149,plain,
( sk_c5 != multiply(sk_c6,sk_c6)
| spl2_1
| ~ spl2_2
| ~ spl2_4
| ~ spl2_9 ),
inference(backward_demodulation,[],[f36,f146]) ).
fof(f36,plain,
( sk_c5 != multiply(sk_c6,sk_c7)
| spl2_1 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f117,plain,
( spl2_2
| spl2_5 ),
inference(avatar_split_clause,[],[f9,f53,f39]) ).
fof(f9,axiom,
( sk_c7 = inverse(sk_c3)
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f116,plain,
( spl2_9
| spl2_10 ),
inference(avatar_split_clause,[],[f20,f86,f77]) ).
fof(f20,axiom,
( sk_c4 = multiply(sk_c3,sk_c7)
| sk_c5 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f115,plain,
( spl2_4
| spl2_10 ),
inference(avatar_split_clause,[],[f26,f86,f49]) ).
fof(f26,axiom,
( sk_c4 = multiply(sk_c3,sk_c7)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f114,plain,
( spl2_10
| spl2_2 ),
inference(avatar_split_clause,[],[f8,f39,f86]) ).
fof(f8,axiom,
( multiply(sk_c6,sk_c5) = sk_c7
| sk_c4 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f113,plain,
( ~ spl2_13
| ~ spl2_11
| ~ spl2_2
| spl2_15
| ~ spl2_8
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f33,f35,f68,f111,f39,f92,f102]) ).
fof(f102,plain,
( spl2_13
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).
fof(f92,plain,
( spl2_11
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).
fof(f33,plain,
! [X4] :
( sk_c5 != multiply(sk_c6,sk_c7)
| sk_c5 != inverse(sk_c6)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6)
| multiply(sk_c6,sk_c5) != sk_c7
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f31,f32_D]) ).
fof(f32,plain,
! [X6] :
( sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
| sP1
| sk_c7 != inverse(X6) ),
inference(cnf_transformation,[],[f32_D]) ).
fof(f32_D,plain,
( ! [X6] :
( sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
| sk_c7 != inverse(X6) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f31,plain,
! [X6,X4] :
( sk_c7 != inverse(X6)
| sk_c5 != inverse(sk_c6)
| sk_c7 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4)
| multiply(sk_c6,sk_c5) != sk_c7
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
| ~ sP0 ),
inference(general_splitting,[],[f29,f30_D]) ).
fof(f30,plain,
! [X3] :
( sk_c5 != multiply(X3,sk_c6)
| sP0
| sk_c6 != inverse(X3) ),
inference(cnf_transformation,[],[f30_D]) ).
fof(f30_D,plain,
( ! [X3] :
( sk_c5 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f29,plain,
! [X3,X6,X4] :
( sk_c7 != inverse(X6)
| sk_c5 != inverse(sk_c6)
| sk_c7 != multiply(X4,sk_c6)
| sk_c5 != multiply(X3,sk_c6)
| sk_c6 != inverse(X4)
| sk_c6 != inverse(X3)
| multiply(sk_c6,sk_c5) != sk_c7
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c6 != multiply(sk_c7,multiply(X6,sk_c7)) ),
inference(equality_resolution,[],[f28]) ).
fof(f28,axiom,
! [X3,X6,X4,X5] :
( sk_c7 != inverse(X6)
| sk_c5 != inverse(sk_c6)
| sk_c7 != multiply(X4,sk_c6)
| multiply(X6,sk_c7) != X5
| sk_c5 != multiply(X3,sk_c6)
| sk_c6 != inverse(X4)
| sk_c6 != inverse(X3)
| multiply(sk_c6,sk_c5) != sk_c7
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c6 != multiply(sk_c7,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f109,plain,
( spl2_1
| spl2_8 ),
inference(avatar_split_clause,[],[f10,f68,f35]) ).
fof(f10,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f108,plain,
( spl2_13
| spl2_14 ),
inference(avatar_split_clause,[],[f32,f106,f102]) ).
fof(f100,plain,
( spl2_3
| spl2_9 ),
inference(avatar_split_clause,[],[f19,f77,f44]) ).
fof(f19,axiom,
( sk_c5 = multiply(sk_c1,sk_c6)
| sk_c6 = multiply(sk_c7,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f99,plain,
( spl2_9
| spl2_7 ),
inference(avatar_split_clause,[],[f18,f63,f77]) ).
fof(f18,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c5 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f98,plain,
( spl2_11
| spl2_12 ),
inference(avatar_split_clause,[],[f30,f96,f92]) ).
fof(f90,plain,
( spl2_8
| spl2_5 ),
inference(avatar_split_clause,[],[f15,f53,f68]) ).
fof(f15,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c5 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f89,plain,
( spl2_8
| spl2_10 ),
inference(avatar_split_clause,[],[f14,f86,f68]) ).
fof(f14,axiom,
( sk_c4 = multiply(sk_c3,sk_c7)
| sk_c5 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f84,plain,
( spl2_9
| spl2_5 ),
inference(avatar_split_clause,[],[f21,f53,f77]) ).
fof(f21,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c5 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f83,plain,
( spl2_4
| spl2_3 ),
inference(avatar_split_clause,[],[f25,f44,f49]) ).
fof(f25,axiom,
( sk_c6 = multiply(sk_c7,sk_c4)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f82,plain,
( spl2_9
| spl2_1 ),
inference(avatar_split_clause,[],[f16,f35,f77]) ).
fof(f16,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c5 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f81,plain,
( spl2_7
| spl2_8 ),
inference(avatar_split_clause,[],[f12,f68,f63]) ).
fof(f12,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f80,plain,
( spl2_9
| spl2_6 ),
inference(avatar_split_clause,[],[f17,f58,f77]) ).
fof(f17,axiom,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c5 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f75,plain,
( spl2_7
| spl2_4 ),
inference(avatar_split_clause,[],[f24,f49,f63]) ).
fof(f24,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f74,plain,
( spl2_6
| spl2_2 ),
inference(avatar_split_clause,[],[f5,f39,f58]) ).
fof(f5,axiom,
( multiply(sk_c6,sk_c5) = sk_c7
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f73,plain,
( spl2_4
| spl2_1 ),
inference(avatar_split_clause,[],[f22,f35,f49]) ).
fof(f22,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f72,plain,
( spl2_8
| spl2_6 ),
inference(avatar_split_clause,[],[f11,f58,f68]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c5 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f71,plain,
( spl2_3
| spl2_8 ),
inference(avatar_split_clause,[],[f13,f68,f44]) ).
fof(f13,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c6 = multiply(sk_c7,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f66,plain,
( spl2_7
| spl2_2 ),
inference(avatar_split_clause,[],[f6,f39,f63]) ).
fof(f6,axiom,
( multiply(sk_c6,sk_c5) = sk_c7
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f61,plain,
( spl2_4
| spl2_6 ),
inference(avatar_split_clause,[],[f23,f58,f49]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f56,plain,
( spl2_4
| spl2_5 ),
inference(avatar_split_clause,[],[f27,f53,f49]) ).
fof(f27,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f47,plain,
( spl2_3
| spl2_2 ),
inference(avatar_split_clause,[],[f7,f39,f44]) ).
fof(f7,axiom,
( multiply(sk_c6,sk_c5) = sk_c7
| sk_c6 = multiply(sk_c7,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f42,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f4,f39,f35]) ).
fof(f4,axiom,
( multiply(sk_c6,sk_c5) = sk_c7
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP363-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 22:40:35 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.22/0.50 % (23910)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)
% 0.22/0.50 % (23918)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)
% 0.22/0.51 % (23902)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)
% 0.22/0.51 % (23905)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)
% 0.22/0.51 TRYING [1]
% 0.22/0.51 % (23906)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.22/0.51 TRYING [2]
% 0.22/0.51 % (23904)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.52 TRYING [3]
% 0.22/0.53 % (23924)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.22/0.53 % (23907)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)
% 0.22/0.53 % (23925)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)
% 0.22/0.53 % (23896)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)
% 0.22/0.53 % (23899)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)
% 0.22/0.53 % (23897)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)
% 0.22/0.53 % (23900)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.53 TRYING [1]
% 0.22/0.53 % (23901)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)
% 0.22/0.53 TRYING [2]
% 0.22/0.53 % (23903)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.53 TRYING [4]
% 0.22/0.53 % (23904)Instruction limit reached!
% 0.22/0.53 % (23904)------------------------------
% 0.22/0.53 % (23904)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54 % (23904)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54 % (23904)Termination reason: Unknown
% 0.22/0.54 % (23904)Termination phase: Saturation
% 0.22/0.54
% 0.22/0.54 % (23904)Memory used [KB]: 895
% 0.22/0.54 % (23904)Time elapsed: 0.003 s
% 0.22/0.54 % (23904)Instructions burned: 2 (million)
% 0.22/0.54 % (23904)------------------------------
% 0.22/0.54 % (23904)------------------------------
% 0.22/0.54 % (23903)Instruction limit reached!
% 0.22/0.54 % (23903)------------------------------
% 0.22/0.54 % (23903)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54 % (23915)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)
% 0.22/0.54 % (23920)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.22/0.54 % (23898)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)
% 0.22/0.54 % (23917)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.22/0.54 % (23916)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)
% 0.22/0.54 % (23911)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)
% 0.22/0.54 % (23906)First to succeed.
% 0.22/0.54 % (23923)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)
% 0.22/0.54 % (23903)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54 % (23903)Termination reason: Unknown
% 0.22/0.54 % (23903)Termination phase: Saturation
% 0.22/0.54
% 0.22/0.54 % (23903)Memory used [KB]: 5500
% 0.22/0.54 % (23903)Time elapsed: 0.130 s
% 0.22/0.54 % (23903)Instructions burned: 8 (million)
% 0.22/0.54 % (23903)------------------------------
% 0.22/0.54 % (23903)------------------------------
% 0.22/0.54 % (23912)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)
% 0.22/0.55 % (23922)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)
% 0.22/0.55 % (23921)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.22/0.55 % (23908)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.22/0.55 % (23909)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.22/0.55 % (23919)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)
% 0.22/0.55 % (23914)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.55 TRYING [3]
% 0.22/0.55 % (23913)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.22/0.56 TRYING [1]
% 0.22/0.56 TRYING [2]
% 0.22/0.56 TRYING [3]
% 0.22/0.56 TRYING [4]
% 0.22/0.56 % (23902)Instruction limit reached!
% 0.22/0.56 % (23902)------------------------------
% 0.22/0.56 % (23902)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.56 % (23902)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.56 % (23902)Termination reason: Unknown
% 0.22/0.56 % (23902)Termination phase: Finite model building SAT solving
% 0.22/0.56
% 0.22/0.56 % (23902)Memory used [KB]: 6908
% 0.22/0.56 % (23902)Time elapsed: 0.094 s
% 0.22/0.56 % (23902)Instructions burned: 52 (million)
% 0.22/0.56 % (23902)------------------------------
% 0.22/0.56 % (23902)------------------------------
% 0.22/0.57 % (23906)Refutation found. Thanks to Tanya!
% 0.22/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.57 % (23906)------------------------------
% 0.22/0.57 % (23906)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.57 % (23906)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.57 % (23906)Termination reason: Refutation
% 0.22/0.57
% 0.22/0.57 % (23906)Memory used [KB]: 5628
% 0.22/0.57 % (23906)Time elapsed: 0.136 s
% 0.22/0.57 % (23906)Instructions burned: 15 (million)
% 0.22/0.57 % (23906)------------------------------
% 0.22/0.57 % (23906)------------------------------
% 0.22/0.57 % (23895)Success in time 0.208 s
%------------------------------------------------------------------------------