TSTP Solution File: GRP209-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP209-1 : 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 : n015.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 16:14:52 EDT 2022
% Result : Unsatisfiable 1.57s 0.57s
% Output : Refutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 55
% Syntax : Number of formulae : 234 ( 4 unt; 0 def)
% Number of atoms : 770 ( 283 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 1055 ( 519 ~; 510 |; 0 &)
% ( 26 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 27 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 68 ( 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f738,plain,
$false,
inference(avatar_sat_refutation,[],[f58,f67,f72,f82,f87,f92,f94,f95,f111,f125,f131,f133,f134,f135,f136,f137,f138,f139,f141,f142,f143,f144,f145,f147,f148,f158,f173,f178,f187,f199,f239,f258,f294,f312,f348,f377,f459,f491,f494,f496,f519,f521,f577,f596,f608,f610,f611,f612,f614,f725,f737]) ).
fof(f737,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_13
| ~ spl0_15
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f736]) ).
fof(f736,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| ~ spl0_13
| ~ spl0_15
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f735]) ).
fof(f735,plain,
( sk_c2 != sk_c2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_13
| ~ spl0_15
| ~ spl0_23 ),
inference(superposition,[],[f733,f655]) ).
fof(f655,plain,
( sk_c2 = multiply(sk_c1,sk_c2)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_15
| ~ spl0_23 ),
inference(backward_demodulation,[],[f115,f650]) ).
fof(f650,plain,
( sk_c2 = sk_c10
| ~ spl0_3
| ~ spl0_8
| ~ spl0_15
| ~ spl0_23 ),
inference(backward_demodulation,[],[f617,f618]) ).
fof(f618,plain,
( sk_c2 = multiply(sk_c2,sk_c10)
| ~ spl0_3
| ~ spl0_15 ),
inference(superposition,[],[f226,f115]) ).
fof(f226,plain,
( ! [X10] : multiply(sk_c2,multiply(sk_c1,X10)) = X10
| ~ spl0_3 ),
inference(forward_demodulation,[],[f222,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f222,plain,
( ! [X10] : multiply(identity,X10) = multiply(sk_c2,multiply(sk_c1,X10))
| ~ spl0_3 ),
inference(superposition,[],[f3,f205]) ).
fof(f205,plain,
( identity = multiply(sk_c2,sk_c1)
| ~ spl0_3 ),
inference(superposition,[],[f2,f62]) ).
fof(f62,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl0_3
<=> sk_c2 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
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(f617,plain,
( sk_c10 = multiply(sk_c2,sk_c10)
| ~ spl0_8
| ~ spl0_23 ),
inference(forward_demodulation,[],[f86,f193]) ).
fof(f193,plain,
( sk_c10 = sk_c9
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f192,plain,
( spl0_23
<=> sk_c10 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f86,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl0_8
<=> sk_c10 = multiply(sk_c2,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f115,plain,
( multiply(sk_c1,sk_c2) = sk_c10
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl0_15
<=> multiply(sk_c1,sk_c2) = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f733,plain,
( sk_c2 != multiply(sk_c1,sk_c2)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_13
| ~ spl0_15
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f729]) ).
fof(f729,plain,
( sk_c2 != multiply(sk_c1,sk_c2)
| sk_c2 != sk_c2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_13
| ~ spl0_15
| ~ spl0_23 ),
inference(superposition,[],[f728,f62]) ).
fof(f728,plain,
( ! [X8] :
( sk_c2 != inverse(X8)
| sk_c2 != multiply(X8,sk_c2) )
| ~ spl0_3
| ~ spl0_8
| ~ spl0_13
| ~ spl0_15
| ~ spl0_23 ),
inference(forward_demodulation,[],[f727,f650]) ).
fof(f727,plain,
( ! [X8] :
( sk_c10 != multiply(X8,sk_c2)
| sk_c2 != inverse(X8) )
| ~ spl0_3
| ~ spl0_8
| ~ spl0_13
| ~ spl0_15
| ~ spl0_23 ),
inference(forward_demodulation,[],[f726,f658]) ).
fof(f658,plain,
( sk_c2 = sk_c9
| ~ spl0_3
| ~ spl0_8
| ~ spl0_15
| ~ spl0_23 ),
inference(backward_demodulation,[],[f193,f650]) ).
fof(f726,plain,
( ! [X8] :
( sk_c2 != inverse(X8)
| sk_c10 != multiply(X8,sk_c9) )
| ~ spl0_3
| ~ spl0_8
| ~ spl0_13
| ~ spl0_15
| ~ spl0_23 ),
inference(forward_demodulation,[],[f107,f658]) ).
fof(f107,plain,
( ! [X8] :
( sk_c9 != inverse(X8)
| sk_c10 != multiply(X8,sk_c9) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl0_13
<=> ! [X8] :
( sk_c10 != multiply(X8,sk_c9)
| sk_c9 != inverse(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f725,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f724]) ).
fof(f724,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f723]) ).
fof(f723,plain,
( sk_c2 != sk_c2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_23 ),
inference(superposition,[],[f720,f655]) ).
fof(f720,plain,
( sk_c2 != multiply(sk_c1,sk_c2)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f717]) ).
fof(f717,plain,
( sk_c2 != sk_c2
| sk_c2 != multiply(sk_c1,sk_c2)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_23 ),
inference(superposition,[],[f716,f62]) ).
fof(f716,plain,
( ! [X7] :
( sk_c2 != inverse(X7)
| sk_c2 != multiply(X7,sk_c2) )
| ~ spl0_3
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_23 ),
inference(forward_demodulation,[],[f715,f650]) ).
fof(f715,plain,
( ! [X7] :
( sk_c10 != multiply(X7,sk_c2)
| sk_c2 != inverse(X7) )
| ~ spl0_3
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_23 ),
inference(forward_demodulation,[],[f714,f658]) ).
fof(f714,plain,
( ! [X7] :
( sk_c10 != multiply(X7,sk_c9)
| sk_c2 != inverse(X7) )
| ~ spl0_3
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_23 ),
inference(forward_demodulation,[],[f110,f650]) ).
fof(f110,plain,
( ! [X7] :
( sk_c10 != inverse(X7)
| sk_c10 != multiply(X7,sk_c9) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f109,plain,
( spl0_14
<=> ! [X7] :
( sk_c10 != multiply(X7,sk_c9)
| sk_c10 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f614,plain,
( spl0_29
| ~ spl0_23
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f613,f539,f192,f291]) ).
fof(f291,plain,
( spl0_29
<=> sk_c10 = multiply(sk_c10,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f539,plain,
( spl0_31
<=> sk_c9 = multiply(sk_c10,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f613,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_23
| ~ spl0_31 ),
inference(forward_demodulation,[],[f540,f193]) ).
fof(f540,plain,
( sk_c9 = multiply(sk_c10,sk_c9)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f612,plain,
( spl0_28
| ~ spl0_4
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f598,f192,f64,f287]) ).
fof(f287,plain,
( spl0_28
<=> sk_c10 = multiply(sk_c5,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f64,plain,
( spl0_4
<=> sk_c10 = multiply(sk_c5,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f598,plain,
( sk_c10 = multiply(sk_c5,sk_c10)
| ~ spl0_4
| ~ spl0_23 ),
inference(backward_demodulation,[],[f66,f193]) ).
fof(f66,plain,
( sk_c10 = multiply(sk_c5,sk_c9)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f611,plain,
( spl0_29
| ~ spl0_21
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f601,f192,f180,f291]) ).
fof(f180,plain,
( spl0_21
<=> sk_c9 = multiply(sk_c10,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f601,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_21
| ~ spl0_23 ),
inference(backward_demodulation,[],[f181,f193]) ).
fof(f181,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f610,plain,
( spl0_30
| ~ spl0_1
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f597,f192,f51,f296]) ).
fof(f296,plain,
( spl0_30
<=> sk_c10 = multiply(sk_c6,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f51,plain,
( spl0_1
<=> sk_c10 = multiply(sk_c6,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f597,plain,
( sk_c10 = multiply(sk_c6,sk_c10)
| ~ spl0_1
| ~ spl0_23 ),
inference(backward_demodulation,[],[f53,f193]) ).
fof(f53,plain,
( sk_c10 = multiply(sk_c6,sk_c9)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f608,plain,
( ~ spl0_29
| ~ spl0_23
| spl0_31 ),
inference(avatar_split_clause,[],[f604,f539,f192,f291]) ).
fof(f604,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_23
| spl0_31 ),
inference(backward_demodulation,[],[f541,f193]) ).
fof(f541,plain,
( sk_c9 != multiply(sk_c10,sk_c9)
| spl0_31 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f596,plain,
( spl0_23
| ~ spl0_1
| ~ spl0_9
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f595,f180,f89,f51,f192]) ).
fof(f89,plain,
( spl0_9
<=> sk_c9 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f595,plain,
( sk_c10 = sk_c9
| ~ spl0_1
| ~ spl0_9
| ~ spl0_21 ),
inference(forward_demodulation,[],[f594,f53]) ).
fof(f594,plain,
( sk_c9 = multiply(sk_c6,sk_c9)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_21 ),
inference(forward_demodulation,[],[f589,f181]) ).
fof(f589,plain,
( multiply(sk_c6,sk_c9) = multiply(sk_c10,sk_c10)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f500,f568]) ).
fof(f568,plain,
( sk_c9 = multiply(sk_c9,sk_c10)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f511,f53]) ).
fof(f511,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f510,f1]) ).
fof(f510,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c6,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f498]) ).
fof(f498,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl0_9 ),
inference(superposition,[],[f2,f91]) ).
fof(f91,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f500,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c9,X0)) = multiply(sk_c10,X0)
| ~ spl0_1 ),
inference(superposition,[],[f3,f53]) ).
fof(f577,plain,
( spl0_23
| ~ spl0_1
| ~ spl0_9
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f574,f296,f89,f51,f192]) ).
fof(f574,plain,
( sk_c10 = sk_c9
| ~ spl0_1
| ~ spl0_9
| ~ spl0_30 ),
inference(backward_demodulation,[],[f568,f569]) ).
fof(f569,plain,
( sk_c10 = multiply(sk_c9,sk_c10)
| ~ spl0_9
| ~ spl0_30 ),
inference(superposition,[],[f511,f297]) ).
fof(f297,plain,
( sk_c10 = multiply(sk_c6,sk_c10)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f521,plain,
( spl0_29
| ~ spl0_3
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f520,f113,f60,f291]) ).
fof(f520,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[],[f381,f115]) ).
fof(f381,plain,
( multiply(sk_c1,sk_c2) = multiply(sk_c10,sk_c10)
| ~ spl0_3
| ~ spl0_15 ),
inference(superposition,[],[f220,f230]) ).
fof(f230,plain,
( sk_c2 = multiply(sk_c2,sk_c10)
| ~ spl0_3
| ~ spl0_15 ),
inference(superposition,[],[f226,f115]) ).
fof(f220,plain,
( ! [X8] : multiply(sk_c10,X8) = multiply(sk_c1,multiply(sk_c2,X8))
| ~ spl0_15 ),
inference(superposition,[],[f3,f115]) ).
fof(f519,plain,
( spl0_21
| ~ spl0_4
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f512,f79,f64,f180]) ).
fof(f79,plain,
( spl0_7
<=> sk_c10 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f512,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f305,f66]) ).
fof(f305,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c5,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f304,f1]) ).
fof(f304,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c5,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f262]) ).
fof(f262,plain,
( identity = multiply(sk_c10,sk_c5)
| ~ spl0_7 ),
inference(superposition,[],[f2,f81]) ).
fof(f81,plain,
( sk_c10 = inverse(sk_c5)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f496,plain,
( ~ spl0_23
| spl0_21
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f495,f291,f180,f192]) ).
fof(f495,plain,
( sk_c10 != sk_c9
| spl0_21
| ~ spl0_29 ),
inference(forward_demodulation,[],[f182,f292]) ).
fof(f292,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f182,plain,
( sk_c9 != multiply(sk_c10,sk_c10)
| spl0_21 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f494,plain,
( spl0_23
| ~ spl0_21
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f493,f291,f180,f192]) ).
fof(f493,plain,
( sk_c10 = sk_c9
| ~ spl0_21
| ~ spl0_29 ),
inference(forward_demodulation,[],[f181,f292]) ).
fof(f491,plain,
( spl0_22
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f484,f192,f89,f79,f51,f184]) ).
fof(f184,plain,
( spl0_22
<=> sk_c10 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f484,plain,
( sk_c10 = inverse(identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_23 ),
inference(backward_demodulation,[],[f81,f474]) ).
fof(f474,plain,
( identity = sk_c5
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_23 ),
inference(superposition,[],[f466,f262]) ).
fof(f466,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_23 ),
inference(backward_demodulation,[],[f309,f427]) ).
fof(f427,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_1
| ~ spl0_7
| ~ spl0_23 ),
inference(superposition,[],[f274,f305]) ).
fof(f274,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c10,X0)) = multiply(sk_c10,X0)
| ~ spl0_1
| ~ spl0_23 ),
inference(superposition,[],[f3,f266]) ).
fof(f266,plain,
( sk_c10 = multiply(sk_c6,sk_c10)
| ~ spl0_1
| ~ spl0_23 ),
inference(forward_demodulation,[],[f53,f193]) ).
fof(f309,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c6,X0)) = X0
| ~ spl0_9
| ~ spl0_23 ),
inference(forward_demodulation,[],[f308,f1]) ).
fof(f308,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c6,X0))
| ~ spl0_9
| ~ spl0_23 ),
inference(superposition,[],[f3,f265]) ).
fof(f265,plain,
( identity = multiply(sk_c10,sk_c6)
| ~ spl0_9
| ~ spl0_23 ),
inference(superposition,[],[f2,f263]) ).
fof(f263,plain,
( sk_c10 = inverse(sk_c6)
| ~ spl0_9
| ~ spl0_23 ),
inference(forward_demodulation,[],[f91,f193]) ).
fof(f459,plain,
( ~ spl0_28
| ~ spl0_7
| ~ spl0_10
| ~ spl0_23
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f458,f291,f192,f97,f79,f287]) ).
fof(f97,plain,
( spl0_10
<=> ! [X3] :
( sk_c10 != multiply(X3,inverse(X3))
| sk_c10 != multiply(inverse(X3),sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f458,plain,
( sk_c10 != multiply(sk_c5,sk_c10)
| ~ spl0_7
| ~ spl0_10
| ~ spl0_23
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f457]) ).
fof(f457,plain,
( sk_c10 != multiply(sk_c5,sk_c10)
| sk_c10 != sk_c10
| ~ spl0_7
| ~ spl0_10
| ~ spl0_23
| ~ spl0_29 ),
inference(forward_demodulation,[],[f446,f292]) ).
fof(f446,plain,
( sk_c10 != multiply(sk_c5,sk_c10)
| sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_7
| ~ spl0_10
| ~ spl0_23 ),
inference(superposition,[],[f378,f81]) ).
fof(f378,plain,
( ! [X3] :
( sk_c10 != multiply(inverse(X3),sk_c10)
| sk_c10 != multiply(X3,inverse(X3)) )
| ~ spl0_10
| ~ spl0_23 ),
inference(forward_demodulation,[],[f98,f193]) ).
fof(f98,plain,
( ! [X3] :
( sk_c10 != multiply(inverse(X3),sk_c9)
| sk_c10 != multiply(X3,inverse(X3)) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f377,plain,
( ~ spl0_28
| ~ spl0_7
| ~ spl0_14
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f373,f192,f109,f79,f287]) ).
fof(f373,plain,
( sk_c10 != multiply(sk_c5,sk_c10)
| ~ spl0_7
| ~ spl0_14
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f368]) ).
fof(f368,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c5,sk_c10)
| ~ spl0_7
| ~ spl0_14
| ~ spl0_23 ),
inference(superposition,[],[f355,f81]) ).
fof(f355,plain,
( ! [X7] :
( sk_c10 != inverse(X7)
| sk_c10 != multiply(X7,sk_c10) )
| ~ spl0_14
| ~ spl0_23 ),
inference(forward_demodulation,[],[f110,f193]) ).
fof(f348,plain,
( ~ spl0_28
| ~ spl0_7
| ~ spl0_13
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f346,f192,f106,f79,f287]) ).
fof(f346,plain,
( sk_c10 != multiply(sk_c5,sk_c10)
| ~ spl0_7
| ~ spl0_13
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f340]) ).
fof(f340,plain,
( sk_c10 != multiply(sk_c5,sk_c10)
| sk_c10 != sk_c10
| ~ spl0_7
| ~ spl0_13
| ~ spl0_23 ),
inference(superposition,[],[f314,f81]) ).
fof(f314,plain,
( ! [X8] :
( sk_c10 != inverse(X8)
| sk_c10 != multiply(X8,sk_c10) )
| ~ spl0_13
| ~ spl0_23 ),
inference(forward_demodulation,[],[f313,f193]) ).
fof(f313,plain,
( ! [X8] :
( sk_c10 != multiply(X8,sk_c9)
| sk_c10 != inverse(X8) )
| ~ spl0_13
| ~ spl0_23 ),
inference(forward_demodulation,[],[f107,f193]) ).
fof(f312,plain,
( ~ spl0_6
| ~ spl0_12
| ~ spl0_16
| ~ spl0_18
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f311]) ).
fof(f311,plain,
( $false
| ~ spl0_6
| ~ spl0_12
| ~ spl0_16
| ~ spl0_18
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f310]) ).
fof(f310,plain,
( sk_c10 != sk_c10
| ~ spl0_6
| ~ spl0_12
| ~ spl0_16
| ~ spl0_18
| ~ spl0_23 ),
inference(superposition,[],[f301,f273]) ).
fof(f273,plain,
( sk_c10 = multiply(sk_c8,sk_c10)
| ~ spl0_16
| ~ spl0_23 ),
inference(forward_demodulation,[],[f119,f193]) ).
fof(f119,plain,
( sk_c9 = multiply(sk_c8,sk_c10)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f117,plain,
( spl0_16
<=> sk_c9 = multiply(sk_c8,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f301,plain,
( sk_c10 != multiply(sk_c8,sk_c10)
| ~ spl0_6
| ~ spl0_12
| ~ spl0_18
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f300]) ).
fof(f300,plain,
( sk_c10 != multiply(sk_c8,sk_c10)
| sk_c10 != sk_c10
| ~ spl0_6
| ~ spl0_12
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_demodulation,[],[f283,f269]) ).
fof(f269,plain,
( sk_c10 = multiply(sk_c7,sk_c8)
| ~ spl0_6
| ~ spl0_23 ),
inference(forward_demodulation,[],[f76,f193]) ).
fof(f76,plain,
( sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f74,plain,
( spl0_6
<=> sk_c9 = multiply(sk_c7,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f283,plain,
( sk_c10 != multiply(sk_c7,sk_c8)
| sk_c10 != multiply(sk_c8,sk_c10)
| ~ spl0_12
| ~ spl0_18
| ~ spl0_23 ),
inference(superposition,[],[f245,f130]) ).
fof(f130,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl0_18
<=> sk_c8 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f245,plain,
( ! [X9] :
( sk_c10 != multiply(inverse(X9),sk_c10)
| sk_c10 != multiply(X9,inverse(X9)) )
| ~ spl0_12
| ~ spl0_23 ),
inference(forward_demodulation,[],[f242,f193]) ).
fof(f242,plain,
( ! [X9] :
( sk_c9 != multiply(inverse(X9),sk_c10)
| sk_c10 != multiply(X9,inverse(X9)) )
| ~ spl0_12
| ~ spl0_23 ),
inference(backward_demodulation,[],[f104,f193]) ).
fof(f104,plain,
( ! [X9] :
( sk_c9 != multiply(inverse(X9),sk_c10)
| sk_c9 != multiply(X9,inverse(X9)) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl0_12
<=> ! [X9] :
( sk_c9 != multiply(inverse(X9),sk_c10)
| sk_c9 != multiply(X9,inverse(X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f294,plain,
( ~ spl0_28
| ~ spl0_29
| ~ spl0_7
| ~ spl0_12
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f281,f192,f103,f79,f291,f287]) ).
fof(f281,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| sk_c10 != multiply(sk_c5,sk_c10)
| ~ spl0_7
| ~ spl0_12
| ~ spl0_23 ),
inference(superposition,[],[f245,f81]) ).
fof(f258,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_15
| ~ spl0_23
| spl0_24 ),
inference(avatar_contradiction_clause,[],[f257]) ).
fof(f257,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| ~ spl0_15
| ~ spl0_23
| spl0_24 ),
inference(trivial_inequality_removal,[],[f255]) ).
fof(f255,plain,
( sk_c2 != sk_c2
| ~ spl0_3
| ~ spl0_8
| ~ spl0_15
| ~ spl0_23
| spl0_24 ),
inference(superposition,[],[f240,f250]) ).
fof(f250,plain,
( sk_c2 = sk_c9
| ~ spl0_3
| ~ spl0_8
| ~ spl0_15
| ~ spl0_23 ),
inference(backward_demodulation,[],[f193,f246]) ).
fof(f246,plain,
( sk_c2 = sk_c10
| ~ spl0_3
| ~ spl0_8
| ~ spl0_15
| ~ spl0_23 ),
inference(forward_demodulation,[],[f241,f230]) ).
fof(f241,plain,
( sk_c10 = multiply(sk_c2,sk_c10)
| ~ spl0_8
| ~ spl0_23 ),
inference(backward_demodulation,[],[f86,f193]) ).
fof(f240,plain,
( sk_c2 != sk_c9
| ~ spl0_3
| ~ spl0_15
| spl0_24 ),
inference(forward_demodulation,[],[f198,f230]) ).
fof(f198,plain,
( sk_c9 != multiply(sk_c2,sk_c10)
| spl0_24 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f196,plain,
( spl0_24
<=> sk_c9 = multiply(sk_c2,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f239,plain,
( spl0_23
| ~ spl0_2
| ~ spl0_5
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f237,f122,f69,f55,f192]) ).
fof(f55,plain,
( spl0_2
<=> sk_c4 = multiply(sk_c3,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f69,plain,
( spl0_5
<=> sk_c10 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f122,plain,
( spl0_17
<=> sk_c9 = multiply(sk_c10,sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f237,plain,
( sk_c10 = sk_c9
| ~ spl0_2
| ~ spl0_5
| ~ spl0_17 ),
inference(backward_demodulation,[],[f124,f234]) ).
fof(f234,plain,
( sk_c10 = multiply(sk_c10,sk_c4)
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f227,f57]) ).
fof(f57,plain,
( sk_c4 = multiply(sk_c3,sk_c10)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f227,plain,
( ! [X12] : multiply(sk_c10,multiply(sk_c3,X12)) = X12
| ~ spl0_5 ),
inference(forward_demodulation,[],[f224,f1]) ).
fof(f224,plain,
( ! [X12] : multiply(identity,X12) = multiply(sk_c10,multiply(sk_c3,X12))
| ~ spl0_5 ),
inference(superposition,[],[f3,f206]) ).
fof(f206,plain,
( identity = multiply(sk_c10,sk_c3)
| ~ spl0_5 ),
inference(superposition,[],[f2,f71]) ).
fof(f71,plain,
( sk_c10 = inverse(sk_c3)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f124,plain,
( sk_c9 = multiply(sk_c10,sk_c4)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f199,plain,
( ~ spl0_23
| ~ spl0_24
| ~ spl0_3
| ~ spl0_12
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f190,f113,f103,f60,f196,f192]) ).
fof(f190,plain,
( sk_c9 != multiply(sk_c2,sk_c10)
| sk_c10 != sk_c9
| ~ spl0_3
| ~ spl0_12
| ~ spl0_15 ),
inference(forward_demodulation,[],[f188,f115]) ).
fof(f188,plain,
( multiply(sk_c1,sk_c2) != sk_c9
| sk_c9 != multiply(sk_c2,sk_c10)
| ~ spl0_3
| ~ spl0_12 ),
inference(superposition,[],[f104,f62]) ).
fof(f187,plain,
( ~ spl0_21
| ~ spl0_22
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f174,f100,f184,f180]) ).
fof(f100,plain,
( spl0_11
<=> ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(sk_c10,multiply(X6,sk_c10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f174,plain,
( sk_c10 != inverse(identity)
| sk_c9 != multiply(sk_c10,sk_c10)
| ~ spl0_11 ),
inference(superposition,[],[f101,f1]) ).
fof(f101,plain,
( ! [X6] :
( sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c10 != inverse(X6) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f178,plain,
( ~ spl0_17
| ~ spl0_2
| ~ spl0_5
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f177,f100,f69,f55,f122]) ).
fof(f177,plain,
( sk_c9 != multiply(sk_c10,sk_c4)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f176]) ).
fof(f176,plain,
( sk_c9 != multiply(sk_c10,sk_c4)
| sk_c10 != sk_c10
| ~ spl0_2
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[],[f175,f71]) ).
fof(f175,plain,
( sk_c9 != multiply(sk_c10,sk_c4)
| sk_c10 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f101,f57]) ).
fof(f173,plain,
( ~ spl0_8
| ~ spl0_3
| ~ spl0_10
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f172,f113,f97,f60,f84]) ).
fof(f172,plain,
( sk_c10 != multiply(sk_c2,sk_c9)
| ~ spl0_3
| ~ spl0_10
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f171]) ).
fof(f171,plain,
( sk_c10 != multiply(sk_c2,sk_c9)
| sk_c10 != sk_c10
| ~ spl0_3
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[],[f160,f115]) ).
fof(f160,plain,
( sk_c10 != multiply(sk_c2,sk_c9)
| multiply(sk_c1,sk_c2) != sk_c10
| ~ spl0_3
| ~ spl0_10 ),
inference(superposition,[],[f98,f62]) ).
fof(f158,plain,
( spl0_4
| spl0_15 ),
inference(avatar_split_clause,[],[f5,f113,f64]) ).
fof(f5,axiom,
( multiply(sk_c1,sk_c2) = sk_c10
| sk_c10 = multiply(sk_c5,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f148,plain,
( spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f40,f64,f69]) ).
fof(f40,axiom,
( sk_c10 = multiply(sk_c5,sk_c9)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f147,plain,
( spl0_1
| spl0_17 ),
inference(avatar_split_clause,[],[f27,f122,f51]) ).
fof(f27,axiom,
( sk_c9 = multiply(sk_c10,sk_c4)
| sk_c10 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f145,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f39,f69,f79]) ).
fof(f39,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c10 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f144,plain,
( spl0_17
| spl0_7 ),
inference(avatar_split_clause,[],[f25,f79,f122]) ).
fof(f25,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c9 = multiply(sk_c10,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f143,plain,
( spl0_1
| spl0_15 ),
inference(avatar_split_clause,[],[f6,f113,f51]) ).
fof(f6,axiom,
( multiply(sk_c1,sk_c2) = sk_c10
| sk_c10 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f142,plain,
( spl0_4
| spl0_17 ),
inference(avatar_split_clause,[],[f26,f122,f64]) ).
fof(f26,axiom,
( sk_c9 = multiply(sk_c10,sk_c4)
| sk_c10 = multiply(sk_c5,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f141,plain,
( spl0_5
| spl0_16 ),
inference(avatar_split_clause,[],[f45,f117,f69]) ).
fof(f45,axiom,
( sk_c9 = multiply(sk_c8,sk_c10)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f139,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f43,f74,f69]) ).
fof(f43,axiom,
( sk_c9 = multiply(sk_c7,sk_c8)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f138,plain,
( spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f14,f89,f60]) ).
fof(f14,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f137,plain,
( spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f33,f64,f55]) ).
fof(f33,axiom,
( sk_c10 = multiply(sk_c5,sk_c9)
| sk_c4 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f136,plain,
( spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f13,f51,f60]) ).
fof(f13,axiom,
( sk_c10 = multiply(sk_c6,sk_c9)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f135,plain,
( spl0_7
| spl0_15 ),
inference(avatar_split_clause,[],[f4,f113,f79]) ).
fof(f4,axiom,
( multiply(sk_c1,sk_c2) = sk_c10
| sk_c10 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f134,plain,
( spl0_2
| spl0_7 ),
inference(avatar_split_clause,[],[f32,f79,f55]) ).
fof(f32,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c4 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f133,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f7,f113,f89]) ).
fof(f7,axiom,
( multiply(sk_c1,sk_c2) = sk_c10
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f131,plain,
( spl0_18
| spl0_5 ),
inference(avatar_split_clause,[],[f44,f69,f128]) ).
fof(f44,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c8 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f125,plain,
( spl0_9
| spl0_17 ),
inference(avatar_split_clause,[],[f28,f122,f89]) ).
fof(f28,axiom,
( sk_c9 = multiply(sk_c10,sk_c4)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f111,plain,
( spl0_10
| spl0_11
| spl0_12
| spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f49,f109,f106,f103,f100,f97]) ).
fof(f49,plain,
! [X3,X8,X6,X9,X7] :
( sk_c10 != multiply(X7,sk_c9)
| sk_c10 != multiply(X8,sk_c9)
| sk_c10 != inverse(X7)
| sk_c9 != multiply(inverse(X9),sk_c10)
| sk_c9 != inverse(X8)
| sk_c9 != multiply(X9,inverse(X9))
| sk_c10 != inverse(X6)
| sk_c10 != multiply(X3,inverse(X3))
| sk_c10 != multiply(inverse(X3),sk_c9)
| sk_c9 != multiply(sk_c10,multiply(X6,sk_c10)) ),
inference(equality_resolution,[],[f48]) ).
fof(f48,plain,
! [X3,X8,X6,X9,X7,X5] :
( sk_c10 != multiply(inverse(X3),sk_c9)
| sk_c10 != multiply(X7,sk_c9)
| sk_c9 != multiply(inverse(X9),sk_c10)
| sk_c10 != multiply(X3,inverse(X3))
| sk_c9 != multiply(X9,inverse(X9))
| sk_c9 != inverse(X8)
| multiply(X6,sk_c10) != X5
| sk_c10 != inverse(X6)
| sk_c9 != multiply(sk_c10,X5)
| sk_c10 != multiply(X8,sk_c9)
| sk_c10 != inverse(X7) ),
inference(equality_resolution,[],[f47]) ).
fof(f47,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c10 != multiply(X4,sk_c9)
| sk_c10 != multiply(X7,sk_c9)
| inverse(X3) != X4
| sk_c9 != multiply(inverse(X9),sk_c10)
| sk_c10 != multiply(X3,X4)
| sk_c9 != multiply(X9,inverse(X9))
| sk_c9 != inverse(X8)
| multiply(X6,sk_c10) != X5
| sk_c10 != inverse(X6)
| sk_c9 != multiply(sk_c10,X5)
| sk_c10 != multiply(X8,sk_c9)
| sk_c10 != inverse(X7) ),
inference(equality_resolution,[],[f46]) ).
fof(f46,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( inverse(X9) != X10
| sk_c10 != multiply(X4,sk_c9)
| sk_c10 != multiply(X7,sk_c9)
| inverse(X3) != X4
| sk_c9 != multiply(X10,sk_c10)
| sk_c10 != multiply(X3,X4)
| sk_c9 != multiply(X9,X10)
| sk_c9 != inverse(X8)
| multiply(X6,sk_c10) != X5
| sk_c10 != inverse(X6)
| sk_c9 != multiply(sk_c10,X5)
| sk_c10 != multiply(X8,sk_c9)
| sk_c10 != inverse(X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f95,plain,
( spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f19,f84,f64]) ).
fof(f19,axiom,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c10 = multiply(sk_c5,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f94,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f42,f69,f89]) ).
fof(f42,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f92,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f35,f55,f89]) ).
fof(f35,axiom,
( sk_c4 = multiply(sk_c3,sk_c10)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f87,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f18,f79,f84]) ).
fof(f18,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f82,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f11,f79,f60]) ).
fof(f11,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f72,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f41,f69,f51]) ).
fof(f41,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c10 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f67,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f12,f64,f60]) ).
fof(f12,axiom,
( sk_c10 = multiply(sk_c5,sk_c9)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f58,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f34,f55,f51]) ).
fof(f34,axiom,
( sk_c4 = multiply(sk_c3,sk_c10)
| sk_c10 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP209-1 : 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
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 22:32:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.49 % (18796)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)
% 0.20/0.50 % (18790)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.51 % (18798)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)
% 0.20/0.51 % (18806)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)
% 0.20/0.51 % (18792)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)
% 0.20/0.52 % (18792)Instruction limit reached!
% 0.20/0.52 % (18792)------------------------------
% 0.20/0.52 % (18792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (18792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (18792)Termination reason: Unknown
% 0.20/0.52 % (18792)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (18792)Memory used [KB]: 5884
% 0.20/0.52 % (18792)Time elapsed: 0.003 s
% 0.20/0.52 % (18792)Instructions burned: 4 (million)
% 0.20/0.52 % (18792)------------------------------
% 0.20/0.52 % (18792)------------------------------
% 0.20/0.52 % (18814)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)
% 0.20/0.52 % (18799)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)
% 0.20/0.52 % (18804)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)
% 0.20/0.52 % (18815)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)
% 0.20/0.52 % (18791)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)
% 0.20/0.52 % (18795)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.52 % (18794)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)
% 0.20/0.52 % (18798)Instruction limit reached!
% 0.20/0.52 % (18798)------------------------------
% 0.20/0.52 % (18798)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (18798)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (18798)Termination reason: Unknown
% 0.20/0.52 % (18798)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (18798)Memory used [KB]: 5884
% 0.20/0.52 % (18798)Time elapsed: 0.004 s
% 0.20/0.52 % (18798)Instructions burned: 4 (million)
% 0.20/0.52 % (18798)------------------------------
% 0.20/0.52 % (18798)------------------------------
% 0.20/0.52 % (18813)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)
% 0.20/0.53 % (18817)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)
% 0.20/0.53 % (18813)Refutation not found, incomplete strategy% (18813)------------------------------
% 0.20/0.53 % (18813)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (18813)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (18813)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (18813)Memory used [KB]: 5884
% 0.20/0.53 % (18813)Time elapsed: 0.084 s
% 0.20/0.53 % (18813)Instructions burned: 3 (million)
% 0.20/0.53 % (18813)------------------------------
% 0.20/0.53 % (18813)------------------------------
% 0.20/0.53 % (18805)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)
% 0.20/0.53 % (18812)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)
% 0.20/0.53 % (18793)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)
% 0.20/0.53 % (18807)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.53 % (18805)Instruction limit reached!
% 0.20/0.53 % (18805)------------------------------
% 0.20/0.53 % (18805)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (18805)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (18805)Termination reason: Unknown
% 0.20/0.53 % (18805)Termination phase: Finite model building preprocessing
% 0.20/0.53
% 0.20/0.53 % (18805)Memory used [KB]: 1535
% 0.20/0.53 % (18805)Time elapsed: 0.004 s
% 0.20/0.53 % (18805)Instructions burned: 6 (million)
% 0.20/0.53 % (18805)------------------------------
% 0.20/0.53 % (18805)------------------------------
% 0.20/0.53 % (18819)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)
% 0.20/0.53 % (18818)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)
% 0.20/0.53 % (18816)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)
% 0.20/0.53 % (18797)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)
% 0.20/0.54 % (18806)Instruction limit reached!
% 0.20/0.54 % (18806)------------------------------
% 0.20/0.54 % (18806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (18806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (18806)Termination reason: Unknown
% 0.20/0.54 % (18806)Termination phase: Equality proxy
% 0.20/0.54
% 0.20/0.54 % (18806)Memory used [KB]: 1279
% 0.20/0.54 % (18806)Time elapsed: 0.002 s
% 0.20/0.54 % (18806)Instructions burned: 2 (million)
% 0.20/0.54 % (18806)------------------------------
% 0.20/0.54 % (18806)------------------------------
% 0.20/0.54 % (18807)Instruction limit reached!
% 0.20/0.54 % (18807)------------------------------
% 0.20/0.54 % (18807)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (18807)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (18807)Termination reason: Unknown
% 0.20/0.54 % (18807)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (18807)Memory used [KB]: 6012
% 0.20/0.54 % (18807)Time elapsed: 0.129 s
% 0.20/0.54 % (18807)Instructions burned: 8 (million)
% 0.20/0.54 % (18807)------------------------------
% 0.20/0.54 % (18807)------------------------------
% 0.20/0.54 % (18811)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)
% 0.20/0.54 % (18808)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)
% 0.20/0.54 % (18809)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)
% 0.20/0.54 % (18810)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)
% 0.20/0.54 % (18801)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)
% 0.20/0.54 % (18803)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)
% 0.20/0.55 % (18802)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)
% 0.20/0.55 % (18803)Instruction limit reached!
% 0.20/0.55 % (18803)------------------------------
% 0.20/0.55 % (18803)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (18803)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (18803)Termination reason: Unknown
% 0.20/0.55 % (18803)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (18803)Memory used [KB]: 5884
% 0.20/0.55 % (18803)Time elapsed: 0.003 s
% 0.20/0.55 % (18803)Instructions burned: 3 (million)
% 0.20/0.55 % (18803)------------------------------
% 0.20/0.55 % (18803)------------------------------
% 0.20/0.55 % (18802)Instruction limit reached!
% 0.20/0.55 % (18802)------------------------------
% 0.20/0.55 % (18802)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (18795)First to succeed.
% 1.57/0.55 % (18796)Instruction limit reached!
% 1.57/0.55 % (18796)------------------------------
% 1.57/0.55 % (18796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.55 % (18800)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)
% 1.57/0.56 % (18800)Instruction limit reached!
% 1.57/0.56 % (18800)------------------------------
% 1.57/0.56 % (18800)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.56 % (18818)Instruction limit reached!
% 1.57/0.56 % (18818)------------------------------
% 1.57/0.56 % (18818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.56 % (18818)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.56 % (18818)Termination reason: Unknown
% 1.57/0.56 % (18818)Termination phase: Saturation
% 1.57/0.56
% 1.57/0.56 % (18818)Memory used [KB]: 6396
% 1.57/0.56 % (18818)Time elapsed: 0.170 s
% 1.57/0.56 % (18818)Instructions burned: 22 (million)
% 1.57/0.56 % (18818)------------------------------
% 1.57/0.56 % (18818)------------------------------
% 1.57/0.56 % (18802)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.56 % (18802)Termination reason: Unknown
% 1.57/0.56 % (18802)Termination phase: Saturation
% 1.57/0.56
% 1.57/0.56 % (18802)Memory used [KB]: 5884
% 1.57/0.56 % (18802)Time elapsed: 0.159 s
% 1.57/0.56 % (18802)Instructions burned: 5 (million)
% 1.57/0.56 % (18802)------------------------------
% 1.57/0.56 % (18802)------------------------------
% 1.57/0.56 % (18810)Instruction limit reached!
% 1.57/0.56 % (18810)------------------------------
% 1.57/0.56 % (18810)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.56 % (18810)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.56 % (18810)Termination reason: Unknown
% 1.57/0.56 % (18810)Termination phase: Saturation
% 1.57/0.56
% 1.57/0.56 % (18810)Memory used [KB]: 1407
% 1.57/0.56 % (18810)Time elapsed: 0.147 s
% 1.57/0.56 % (18810)Instructions burned: 7 (million)
% 1.57/0.56 % (18810)------------------------------
% 1.57/0.56 % (18810)------------------------------
% 1.57/0.56 % (18809)Instruction limit reached!
% 1.57/0.56 % (18809)------------------------------
% 1.57/0.56 % (18809)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.56 % (18809)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.56 % (18809)Termination reason: Unknown
% 1.57/0.56 % (18809)Termination phase: Saturation
% 1.57/0.56
% 1.57/0.56 % (18809)Memory used [KB]: 6012
% 1.57/0.56 % (18809)Time elapsed: 0.149 s
% 1.57/0.56 % (18809)Instructions burned: 7 (million)
% 1.57/0.56 % (18809)------------------------------
% 1.57/0.56 % (18809)------------------------------
% 1.57/0.57 % (18804)Instruction limit reached!
% 1.57/0.57 % (18804)------------------------------
% 1.57/0.57 % (18804)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.57 % (18804)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.57 % (18804)Termination reason: Unknown
% 1.57/0.57 % (18804)Termination phase: Saturation
% 1.57/0.57
% 1.57/0.57 % (18804)Memory used [KB]: 1663
% 1.57/0.57 % (18804)Time elapsed: 0.178 s
% 1.57/0.57 % (18804)Instructions burned: 30 (million)
% 1.57/0.57 % (18804)------------------------------
% 1.57/0.57 % (18804)------------------------------
% 1.57/0.57 % (18796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.57 % (18796)Termination reason: Unknown
% 1.57/0.57 % (18796)Termination phase: Saturation
% 1.57/0.57
% 1.57/0.57 % (18796)Memory used [KB]: 1535
% 1.57/0.57 % (18796)Time elapsed: 0.167 s
% 1.57/0.57 % (18796)Instructions burned: 49 (million)
% 1.57/0.57 % (18796)------------------------------
% 1.57/0.57 % (18796)------------------------------
% 1.57/0.57 % (18800)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.57 % (18800)Termination reason: Unknown
% 1.57/0.57 % (18800)Termination phase: Saturation
% 1.57/0.57
% 1.57/0.57 % (18800)Memory used [KB]: 5884
% 1.57/0.57 % (18800)Time elapsed: 0.152 s
% 1.57/0.57 % (18800)Instructions burned: 7 (million)
% 1.57/0.57 % (18800)------------------------------
% 1.57/0.57 % (18800)------------------------------
% 1.57/0.57 % (18801)Instruction limit reached!
% 1.57/0.57 % (18801)------------------------------
% 1.57/0.57 % (18801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.57 % (18801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.57 % (18801)Termination reason: Unknown
% 1.57/0.57 % (18801)Termination phase: Saturation
% 1.57/0.57
% 1.57/0.57 % (18801)Memory used [KB]: 6140
% 1.57/0.57 % (18801)Time elapsed: 0.182 s
% 1.57/0.57 % (18801)Instructions burned: 23 (million)
% 1.57/0.57 % (18801)------------------------------
% 1.57/0.57 % (18801)------------------------------
% 1.57/0.57 % (18795)Refutation found. Thanks to Tanya!
% 1.57/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.57/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.57/0.57 % (18795)------------------------------
% 1.57/0.57 % (18795)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.57 % (18795)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.57 % (18795)Termination reason: Refutation
% 1.57/0.57
% 1.57/0.57 % (18795)Memory used [KB]: 6268
% 1.57/0.57 % (18795)Time elapsed: 0.164 s
% 1.57/0.57 % (18795)Instructions burned: 24 (million)
% 1.57/0.57 % (18795)------------------------------
% 1.57/0.57 % (18795)------------------------------
% 1.57/0.57 % (18789)Success in time 0.215 s
%------------------------------------------------------------------------------