TSTP Solution File: GRP286-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP286-1 : 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 : n004.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 16:21:10 EDT 2022
% Result : Unsatisfiable 1.60s 0.57s
% Output : Refutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 55
% Syntax : Number of formulae : 255 ( 9 unt; 0 def)
% Number of atoms : 1134 ( 305 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 1744 ( 865 ~; 858 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 67 ( 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f519,plain,
$false,
inference(avatar_sat_refutation,[],[f50,f59,f64,f69,f78,f79,f84,f92,f93,f98,f99,f100,f101,f102,f103,f111,f116,f117,f125,f126,f127,f128,f129,f133,f134,f135,f136,f137,f138,f139,f140,f141,f142,f143,f224,f257,f264,f277,f284,f357,f446,f465,f483,f506,f513,f518]) ).
fof(f518,plain,
( ~ spl3_1
| ~ spl3_4
| spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f517]) ).
fof(f517,plain,
( $false
| ~ spl3_1
| ~ spl3_4
| spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f516,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f516,plain,
( identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_4
| spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_15 ),
inference(forward_demodulation,[],[f515,f409]) ).
fof(f409,plain,
( identity = sk_c8
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_15 ),
inference(backward_demodulation,[],[f382,f408]) ).
fof(f408,plain,
( identity = multiply(sk_c3,sk_c8)
| ~ spl3_1
| ~ spl3_6
| ~ spl3_7
| ~ spl3_15 ),
inference(backward_demodulation,[],[f400,f401]) ).
fof(f401,plain,
( sk_c3 = sk_c4
| ~ spl3_1
| ~ spl3_6
| ~ spl3_7
| ~ spl3_15 ),
inference(backward_demodulation,[],[f296,f386]) ).
fof(f386,plain,
( sk_c3 = multiply(inverse(sk_c8),identity)
| ~ spl3_1
| ~ spl3_6
| ~ spl3_7
| ~ spl3_15 ),
inference(backward_demodulation,[],[f292,f381]) ).
fof(f381,plain,
( sk_c8 = sk_c7
| ~ spl3_1
| ~ spl3_7
| ~ spl3_15 ),
inference(backward_demodulation,[],[f45,f380]) ).
fof(f380,plain,
( sk_c8 = multiply(sk_c8,sk_c5)
| ~ spl3_7
| ~ spl3_15 ),
inference(forward_demodulation,[],[f378,f115]) ).
fof(f115,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl3_15
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f378,plain,
( sk_c8 = multiply(inverse(sk_c4),sk_c5)
| ~ spl3_7 ),
inference(superposition,[],[f153,f73]) ).
fof(f73,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl3_7
<=> sk_c5 = multiply(sk_c4,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f153,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3,
inference(forward_demodulation,[],[f147,f1]) ).
fof(f147,plain,
! [X2,X3] : multiply(identity,X3) = multiply(inverse(X2),multiply(X2,X3)),
inference(superposition,[],[f3,f2]) ).
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(f45,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl3_1
<=> sk_c7 = multiply(sk_c8,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f292,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl3_6 ),
inference(superposition,[],[f170,f68]) ).
fof(f68,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl3_6
<=> sk_c7 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f170,plain,
! [X1] : multiply(inverse(inverse(X1)),identity) = X1,
inference(superposition,[],[f153,f2]) ).
fof(f296,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl3_15 ),
inference(superposition,[],[f170,f115]) ).
fof(f400,plain,
( identity = multiply(sk_c4,sk_c8)
| ~ spl3_1
| ~ spl3_7
| ~ spl3_15 ),
inference(backward_demodulation,[],[f73,f398]) ).
fof(f398,plain,
( identity = sk_c5
| ~ spl3_1
| ~ spl3_7
| ~ spl3_15 ),
inference(forward_demodulation,[],[f390,f2]) ).
fof(f390,plain,
( sk_c5 = multiply(inverse(sk_c8),sk_c8)
| ~ spl3_1
| ~ spl3_7
| ~ spl3_15 ),
inference(backward_demodulation,[],[f367,f381]) ).
fof(f367,plain,
( sk_c5 = multiply(inverse(sk_c8),sk_c7)
| ~ spl3_1 ),
inference(superposition,[],[f153,f45]) ).
fof(f382,plain,
( sk_c8 = multiply(sk_c3,sk_c8)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_7
| ~ spl3_15 ),
inference(backward_demodulation,[],[f58,f381]) ).
fof(f58,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f56,plain,
( spl3_4
<=> sk_c8 = multiply(sk_c3,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f515,plain,
( identity != multiply(sk_c8,identity)
| ~ spl3_1
| ~ spl3_4
| spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_15 ),
inference(forward_demodulation,[],[f514,f410]) ).
fof(f410,plain,
( identity = sk_c7
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_15 ),
inference(backward_demodulation,[],[f381,f409]) ).
fof(f514,plain,
( identity != multiply(sk_c8,sk_c7)
| ~ spl3_1
| ~ spl3_4
| spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_15 ),
inference(forward_demodulation,[],[f62,f417]) ).
fof(f417,plain,
( identity = sk_c6
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_15 ),
inference(backward_demodulation,[],[f394,f409]) ).
fof(f394,plain,
( sk_c8 = sk_c6
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_15 ),
inference(backward_demodulation,[],[f374,f381]) ).
fof(f374,plain,
( sk_c7 = sk_c6
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9 ),
inference(backward_demodulation,[],[f83,f373]) ).
fof(f373,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl3_4
| ~ spl3_6 ),
inference(forward_demodulation,[],[f371,f68]) ).
fof(f371,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c8)
| ~ spl3_4 ),
inference(superposition,[],[f153,f58]) ).
fof(f83,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f81,plain,
( spl3_9
<=> sk_c6 = multiply(sk_c7,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f62,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| spl3_5 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f61,plain,
( spl3_5
<=> multiply(sk_c8,sk_c7) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f513,plain,
( ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_15
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f512]) ).
fof(f512,plain,
( $false
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_15
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f511,f1]) ).
fof(f511,plain,
( identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_15
| ~ spl3_18 ),
inference(trivial_inequality_removal,[],[f510]) ).
fof(f510,plain,
( identity != multiply(identity,identity)
| identity != identity
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_15
| ~ spl3_18 ),
inference(superposition,[],[f509,f269]) ).
fof(f269,plain,
identity = inverse(identity),
inference(superposition,[],[f250,f170]) ).
fof(f250,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f153,f170]) ).
fof(f509,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != multiply(X5,identity) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_15
| ~ spl3_18 ),
inference(forward_demodulation,[],[f508,f410]) ).
fof(f508,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| identity != multiply(X5,identity) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_15
| ~ spl3_18 ),
inference(forward_demodulation,[],[f507,f409]) ).
fof(f507,plain,
( ! [X5] :
( sk_c8 != multiply(X5,identity)
| sk_c7 != inverse(X5) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_15
| ~ spl3_18 ),
inference(forward_demodulation,[],[f132,f410]) ).
fof(f132,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c7)
| sk_c7 != inverse(X5) )
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f131,plain,
( spl3_18
<=> ! [X5] :
( sk_c8 != multiply(X5,sk_c7)
| sk_c7 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f506,plain,
( ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_11
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f505]) ).
fof(f505,plain,
( $false
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_11
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f504,f1]) ).
fof(f504,plain,
( identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_11
| ~ spl3_15 ),
inference(forward_demodulation,[],[f503,f1]) ).
fof(f503,plain,
( identity != multiply(identity,multiply(identity,identity))
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_11
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f502]) ).
fof(f502,plain,
( identity != identity
| identity != multiply(identity,multiply(identity,identity))
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_11
| ~ spl3_15 ),
inference(superposition,[],[f486,f269]) ).
fof(f486,plain,
( ! [X7] :
( identity != inverse(X7)
| identity != multiply(identity,multiply(X7,identity)) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_11
| ~ spl3_15 ),
inference(forward_demodulation,[],[f485,f410]) ).
fof(f485,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c7 != multiply(identity,multiply(X7,identity)) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_11
| ~ spl3_15 ),
inference(forward_demodulation,[],[f484,f409]) ).
fof(f484,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(identity,multiply(X7,identity)) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_11
| ~ spl3_15 ),
inference(forward_demodulation,[],[f91,f409]) ).
fof(f91,plain,
( ! [X7] :
( sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != inverse(X7) )
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f90,plain,
( spl3_11
<=> ! [X7] :
( sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f483,plain,
( ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_15
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f482]) ).
fof(f482,plain,
( $false
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_15
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f481,f1]) ).
fof(f481,plain,
( identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_15
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f480]) ).
fof(f480,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_15
| ~ spl3_17 ),
inference(superposition,[],[f470,f269]) ).
fof(f470,plain,
( ! [X4] :
( identity != inverse(X4)
| identity != multiply(X4,identity) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_15
| ~ spl3_17 ),
inference(forward_demodulation,[],[f469,f417]) ).
fof(f469,plain,
( ! [X4] :
( sk_c6 != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_15
| ~ spl3_17 ),
inference(forward_demodulation,[],[f468,f410]) ).
fof(f468,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c7)
| identity != inverse(X4) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_15
| ~ spl3_17 ),
inference(forward_demodulation,[],[f124,f410]) ).
fof(f124,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7) )
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f123,plain,
( spl3_17
<=> ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f465,plain,
( ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_14
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f464]) ).
fof(f464,plain,
( $false
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_14
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f463,f1]) ).
fof(f463,plain,
( identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_14
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f462]) ).
fof(f462,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_14
| ~ spl3_15 ),
inference(superposition,[],[f434,f269]) ).
fof(f434,plain,
( ! [X3] :
( identity != inverse(X3)
| identity != multiply(X3,identity) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_14
| ~ spl3_15 ),
inference(forward_demodulation,[],[f412,f409]) ).
fof(f412,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c8 != multiply(X3,sk_c8) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_14
| ~ spl3_15 ),
inference(backward_demodulation,[],[f384,f409]) ).
fof(f384,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c8) )
| ~ spl3_1
| ~ spl3_7
| ~ spl3_14
| ~ spl3_15 ),
inference(backward_demodulation,[],[f110,f381]) ).
fof(f110,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f109,plain,
( spl3_14
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f446,plain,
( ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| spl3_12
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f445]) ).
fof(f445,plain,
( $false
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| spl3_12
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f444,f1]) ).
fof(f444,plain,
( identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| spl3_12
| ~ spl3_15 ),
inference(forward_demodulation,[],[f443,f429]) ).
fof(f429,plain,
( identity = sk_c4
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_15 ),
inference(backward_demodulation,[],[f401,f428]) ).
fof(f428,plain,
( identity = sk_c3
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_15 ),
inference(forward_demodulation,[],[f414,f2]) ).
fof(f414,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_15 ),
inference(backward_demodulation,[],[f386,f409]) ).
fof(f443,plain,
( identity != multiply(sk_c4,identity)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| spl3_12
| ~ spl3_15 ),
inference(forward_demodulation,[],[f389,f409]) ).
fof(f389,plain,
( sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_7
| spl3_12
| ~ spl3_15 ),
inference(backward_demodulation,[],[f358,f381]) ).
fof(f358,plain,
( sk_c7 != multiply(sk_c4,sk_c8)
| ~ spl3_3
| spl3_12
| ~ spl3_15 ),
inference(forward_demodulation,[],[f96,f299]) ).
fof(f299,plain,
( sk_c4 = sk_c1
| ~ spl3_3
| ~ spl3_15 ),
inference(backward_demodulation,[],[f176,f296]) ).
fof(f176,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl3_3 ),
inference(superposition,[],[f153,f144]) ).
fof(f144,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl3_3 ),
inference(superposition,[],[f2,f54]) ).
fof(f54,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f52,plain,
( spl3_3
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f96,plain,
( sk_c7 != multiply(sk_c1,sk_c8)
| spl3_12 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl3_12
<=> sk_c7 = multiply(sk_c1,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f357,plain,
( ~ spl3_1
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_12
| ~ spl3_14
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f356]) ).
fof(f356,plain,
( $false
| ~ spl3_1
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_12
| ~ spl3_14
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f354,f334]) ).
fof(f334,plain,
( sk_c8 = multiply(sk_c3,sk_c8)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_12
| ~ spl3_15 ),
inference(backward_demodulation,[],[f324,f327]) ).
fof(f327,plain,
( sk_c3 = sk_c4
| ~ spl3_1
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_12
| ~ spl3_15 ),
inference(backward_demodulation,[],[f296,f321]) ).
fof(f321,plain,
( sk_c3 = multiply(inverse(sk_c8),identity)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_12
| ~ spl3_15 ),
inference(backward_demodulation,[],[f292,f309]) ).
fof(f309,plain,
( sk_c8 = sk_c7
| ~ spl3_1
| ~ spl3_3
| ~ spl3_7
| ~ spl3_12
| ~ spl3_15 ),
inference(forward_demodulation,[],[f308,f158]) ).
fof(f158,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl3_3
| ~ spl3_12 ),
inference(superposition,[],[f155,f97]) ).
fof(f97,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f155,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl3_3 ),
inference(forward_demodulation,[],[f154,f1]) ).
fof(f154,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl3_3 ),
inference(superposition,[],[f3,f144]) ).
fof(f308,plain,
( sk_c7 = multiply(sk_c8,sk_c7)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_7
| ~ spl3_12
| ~ spl3_15 ),
inference(backward_demodulation,[],[f45,f307]) ).
fof(f307,plain,
( sk_c7 = sk_c5
| ~ spl3_3
| ~ spl3_7
| ~ spl3_12
| ~ spl3_15 ),
inference(backward_demodulation,[],[f73,f301]) ).
fof(f301,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| ~ spl3_3
| ~ spl3_12
| ~ spl3_15 ),
inference(backward_demodulation,[],[f97,f299]) ).
fof(f324,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_7
| ~ spl3_12
| ~ spl3_15 ),
inference(backward_demodulation,[],[f301,f309]) ).
fof(f354,plain,
( sk_c8 != multiply(sk_c3,sk_c8)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_12
| ~ spl3_14
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f352]) ).
fof(f352,plain,
( sk_c8 != multiply(sk_c3,sk_c8)
| sk_c8 != sk_c8
| ~ spl3_1
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_12
| ~ spl3_14
| ~ spl3_15 ),
inference(superposition,[],[f313,f328]) ).
fof(f328,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_12
| ~ spl3_15 ),
inference(backward_demodulation,[],[f115,f327]) ).
fof(f313,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c8) )
| ~ spl3_1
| ~ spl3_3
| ~ spl3_7
| ~ spl3_12
| ~ spl3_14
| ~ spl3_15 ),
inference(backward_demodulation,[],[f110,f309]) ).
fof(f284,plain,
( ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f283]) ).
fof(f283,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f282,f1]) ).
fof(f282,plain,
( identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12
| ~ spl3_18 ),
inference(trivial_inequality_removal,[],[f281]) ).
fof(f281,plain,
( identity != multiply(identity,identity)
| identity != identity
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12
| ~ spl3_18 ),
inference(superposition,[],[f280,f215]) ).
fof(f215,plain,
( identity = inverse(identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_demodulation,[],[f204,f209]) ).
fof(f209,plain,
( identity = sk_c2
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_demodulation,[],[f207,f2]) ).
fof(f207,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12 ),
inference(backward_demodulation,[],[f177,f203]) ).
fof(f203,plain,
( identity = sk_c7
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_demodulation,[],[f202,f1]) ).
fof(f202,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_demodulation,[],[f187,f201]) ).
fof(f201,plain,
( identity = sk_c1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_demodulation,[],[f198,f2]) ).
fof(f198,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12 ),
inference(backward_demodulation,[],[f176,f185]) ).
fof(f185,plain,
( identity = sk_c8
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_demodulation,[],[f183,f2]) ).
fof(f183,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12 ),
inference(superposition,[],[f153,f181]) ).
fof(f181,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_demodulation,[],[f175,f77]) ).
fof(f77,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl3_8
<=> sk_c7 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f175,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c8)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_12 ),
inference(superposition,[],[f153,f165]) ).
fof(f165,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_12 ),
inference(backward_demodulation,[],[f49,f161]) ).
fof(f161,plain,
( sk_c8 = sk_c6
| ~ spl3_3
| ~ spl3_5
| ~ spl3_12 ),
inference(backward_demodulation,[],[f63,f158]) ).
fof(f63,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f49,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f47,plain,
( spl3_2
<=> sk_c6 = multiply(sk_c2,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f187,plain,
( sk_c7 = multiply(sk_c1,identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12 ),
inference(backward_demodulation,[],[f97,f185]) ).
fof(f177,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl3_8 ),
inference(superposition,[],[f153,f145]) ).
fof(f145,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl3_8 ),
inference(superposition,[],[f2,f77]) ).
fof(f204,plain,
( identity = inverse(sk_c2)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12 ),
inference(backward_demodulation,[],[f77,f203]) ).
fof(f280,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != multiply(X5,identity) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12
| ~ spl3_18 ),
inference(forward_demodulation,[],[f279,f185]) ).
fof(f279,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c8 != multiply(X5,identity) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12
| ~ spl3_18 ),
inference(forward_demodulation,[],[f278,f203]) ).
fof(f278,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c8 != multiply(X5,sk_c7) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12
| ~ spl3_18 ),
inference(forward_demodulation,[],[f132,f203]) ).
fof(f277,plain,
( ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f276]) ).
fof(f276,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f275,f1]) ).
fof(f275,plain,
( identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f274]) ).
fof(f274,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12
| ~ spl3_17 ),
inference(superposition,[],[f267,f215]) ).
fof(f267,plain,
( ! [X4] :
( identity != inverse(X4)
| identity != multiply(X4,identity) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12
| ~ spl3_17 ),
inference(forward_demodulation,[],[f266,f192]) ).
fof(f192,plain,
( identity = sk_c6
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12 ),
inference(backward_demodulation,[],[f161,f185]) ).
fof(f266,plain,
( ! [X4] :
( sk_c6 != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12
| ~ spl3_17 ),
inference(forward_demodulation,[],[f265,f203]) ).
fof(f265,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c6 != multiply(X4,sk_c7) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12
| ~ spl3_17 ),
inference(forward_demodulation,[],[f124,f203]) ).
fof(f264,plain,
( ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f263]) ).
fof(f263,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f262,f1]) ).
fof(f262,plain,
( identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12
| ~ spl3_14 ),
inference(trivial_inequality_removal,[],[f261]) ).
fof(f261,plain,
( identity != multiply(identity,identity)
| identity != identity
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12
| ~ spl3_14 ),
inference(superposition,[],[f260,f215]) ).
fof(f260,plain,
( ! [X3] :
( identity != inverse(X3)
| identity != multiply(X3,identity) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12
| ~ spl3_14 ),
inference(forward_demodulation,[],[f259,f203]) ).
fof(f259,plain,
( ! [X3] :
( sk_c7 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12
| ~ spl3_14 ),
inference(forward_demodulation,[],[f258,f185]) ).
fof(f258,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_12
| ~ spl3_14 ),
inference(forward_demodulation,[],[f110,f185]) ).
fof(f257,plain,
( ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_11
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f256]) ).
fof(f256,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_11
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f255,f1]) ).
fof(f255,plain,
( identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f254,f1]) ).
fof(f254,plain,
( identity != multiply(identity,multiply(identity,identity))
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_11
| ~ spl3_12 ),
inference(trivial_inequality_removal,[],[f253]) ).
fof(f253,plain,
( identity != identity
| identity != multiply(identity,multiply(identity,identity))
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_11
| ~ spl3_12 ),
inference(superposition,[],[f242,f215]) ).
fof(f242,plain,
( ! [X7] :
( identity != inverse(X7)
| identity != multiply(identity,multiply(X7,identity)) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f241,f203]) ).
fof(f241,plain,
( ! [X7] :
( sk_c7 != multiply(identity,multiply(X7,identity))
| identity != inverse(X7) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f240,f185]) ).
fof(f240,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(identity,multiply(X7,identity)) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| ~ spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f91,f185]) ).
fof(f224,plain,
( ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| spl3_9
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f223]) ).
fof(f223,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| spl3_9
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f200,f203]) ).
fof(f200,plain,
( identity != sk_c7
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| spl3_9
| ~ spl3_12 ),
inference(backward_demodulation,[],[f182,f185]) ).
fof(f182,plain,
( sk_c8 != sk_c7
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8
| spl3_9
| ~ spl3_12 ),
inference(superposition,[],[f164,f181]) ).
fof(f164,plain,
( sk_c8 != multiply(sk_c7,sk_c8)
| ~ spl3_3
| ~ spl3_5
| spl3_9
| ~ spl3_12 ),
inference(backward_demodulation,[],[f82,f161]) ).
fof(f82,plain,
( sk_c6 != multiply(sk_c7,sk_c8)
| spl3_9 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f143,plain,
( spl3_6
| spl3_5 ),
inference(avatar_split_clause,[],[f6,f61,f66]) ).
fof(f6,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f142,plain,
( spl3_12
| spl3_15 ),
inference(avatar_split_clause,[],[f15,f113,f95]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f141,plain,
( spl3_5
| spl3_1 ),
inference(avatar_split_clause,[],[f7,f43,f61]) ).
fof(f7,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f140,plain,
( spl3_9
| spl3_3 ),
inference(avatar_split_clause,[],[f16,f52,f81]) ).
fof(f16,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f139,plain,
( spl3_12
| spl3_7 ),
inference(avatar_split_clause,[],[f14,f71,f95]) ).
fof(f14,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f138,plain,
( spl3_7
| spl3_2 ),
inference(avatar_split_clause,[],[f26,f47,f71]) ).
fof(f26,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c5 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f137,plain,
( spl3_5
| spl3_15 ),
inference(avatar_split_clause,[],[f9,f113,f61]) ).
fof(f9,axiom,
( sk_c8 = inverse(sk_c4)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f136,plain,
( spl3_12
| spl3_6 ),
inference(avatar_split_clause,[],[f12,f66,f95]) ).
fof(f12,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f135,plain,
( spl3_8
| spl3_9 ),
inference(avatar_split_clause,[],[f28,f81,f75]) ).
fof(f28,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f134,plain,
( spl3_8
| spl3_1 ),
inference(avatar_split_clause,[],[f31,f43,f75]) ).
fof(f31,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f133,plain,
( ~ spl3_16
| ~ spl3_5
| ~ spl3_10
| ~ spl3_13
| ~ spl3_9
| spl3_18 ),
inference(avatar_split_clause,[],[f41,f131,f81,f105,f86,f61,f119]) ).
fof(f119,plain,
( spl3_16
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f86,plain,
( spl3_10
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f105,plain,
( spl3_13
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f41,plain,
! [X5] :
( sk_c8 != multiply(X5,sk_c7)
| sk_c6 != multiply(sk_c7,sk_c8)
| ~ sP0
| ~ sP1
| multiply(sk_c8,sk_c7) != sk_c6
| sk_c7 != inverse(X5)
| ~ sP2 ),
inference(general_splitting,[],[f39,f40_D]) ).
fof(f40,plain,
! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7)
| sP2 ),
inference(cnf_transformation,[],[f40_D]) ).
fof(f40_D,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f39,plain,
! [X4,X5] :
( sk_c8 != multiply(X5,sk_c7)
| sk_c6 != multiply(X4,sk_c7)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c7 != inverse(X5)
| sk_c7 != inverse(X4)
| multiply(sk_c8,sk_c7) != sk_c6
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f37,f38_D]) ).
fof(f38,plain,
! [X7] :
( sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != inverse(X7)
| sP1 ),
inference(cnf_transformation,[],[f38_D]) ).
fof(f38_D,plain,
( ! [X7] :
( sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != inverse(X7) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f37,plain,
! [X7,X4,X5] :
( sk_c8 != multiply(X5,sk_c7)
| sk_c6 != multiply(X4,sk_c7)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != inverse(X7)
| sk_c7 != inverse(X5)
| sk_c7 != inverse(X4)
| multiply(sk_c8,sk_c7) != sk_c6
| ~ sP0 ),
inference(general_splitting,[],[f35,f36_D]) ).
fof(f36,plain,
! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| sP0 ),
inference(cnf_transformation,[],[f36_D]) ).
fof(f36_D,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f35,plain,
! [X3,X7,X4,X5] :
( sk_c8 != multiply(X5,sk_c7)
| sk_c6 != multiply(X4,sk_c7)
| sk_c8 != inverse(X3)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != inverse(X7)
| sk_c7 != inverse(X5)
| sk_c7 != inverse(X4)
| multiply(sk_c8,sk_c7) != sk_c6
| sk_c7 != multiply(X3,sk_c8) ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c8 != multiply(X5,sk_c7)
| sk_c6 != multiply(X4,sk_c7)
| sk_c8 != inverse(X3)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c7 != multiply(sk_c8,X6)
| sk_c8 != inverse(X7)
| sk_c7 != inverse(X5)
| multiply(X7,sk_c8) != X6
| sk_c7 != inverse(X4)
| multiply(sk_c8,sk_c7) != sk_c6
| sk_c7 != multiply(X3,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f129,plain,
( spl3_2
| spl3_4 ),
inference(avatar_split_clause,[],[f23,f56,f47]) ).
fof(f23,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f128,plain,
( spl3_8
| spl3_15 ),
inference(avatar_split_clause,[],[f33,f113,f75]) ).
fof(f33,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f127,plain,
( spl3_3
| spl3_1 ),
inference(avatar_split_clause,[],[f19,f43,f52]) ).
fof(f19,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f126,plain,
( spl3_12
| spl3_9 ),
inference(avatar_split_clause,[],[f10,f81,f95]) ).
fof(f10,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f125,plain,
( spl3_16
| spl3_17 ),
inference(avatar_split_clause,[],[f40,f123,f119]) ).
fof(f117,plain,
( spl3_3
| spl3_15 ),
inference(avatar_split_clause,[],[f21,f113,f52]) ).
fof(f21,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f116,plain,
( spl3_15
| spl3_2 ),
inference(avatar_split_clause,[],[f27,f47,f113]) ).
fof(f27,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f111,plain,
( spl3_13
| spl3_14 ),
inference(avatar_split_clause,[],[f36,f109,f105]) ).
fof(f103,plain,
( spl3_4
| spl3_12 ),
inference(avatar_split_clause,[],[f11,f95,f56]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f102,plain,
( spl3_8
| spl3_6 ),
inference(avatar_split_clause,[],[f30,f66,f75]) ).
fof(f30,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f101,plain,
( spl3_7
| spl3_3 ),
inference(avatar_split_clause,[],[f20,f52,f71]) ).
fof(f20,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c5 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f100,plain,
( spl3_3
| spl3_6 ),
inference(avatar_split_clause,[],[f18,f66,f52]) ).
fof(f18,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f99,plain,
( spl3_9
| spl3_5 ),
inference(avatar_split_clause,[],[f4,f61,f81]) ).
fof(f4,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f98,plain,
( spl3_1
| spl3_12 ),
inference(avatar_split_clause,[],[f13,f95,f43]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f93,plain,
( spl3_8
| spl3_4 ),
inference(avatar_split_clause,[],[f29,f56,f75]) ).
fof(f29,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f92,plain,
( spl3_10
| spl3_11 ),
inference(avatar_split_clause,[],[f38,f90,f86]) ).
fof(f84,plain,
( spl3_9
| spl3_2 ),
inference(avatar_split_clause,[],[f22,f47,f81]) ).
fof(f22,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f79,plain,
( spl3_7
| spl3_5 ),
inference(avatar_split_clause,[],[f8,f61,f71]) ).
fof(f8,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c5 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f78,plain,
( spl3_7
| spl3_8 ),
inference(avatar_split_clause,[],[f32,f75,f71]) ).
fof(f32,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c5 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f69,plain,
( spl3_6
| spl3_2 ),
inference(avatar_split_clause,[],[f24,f47,f66]) ).
fof(f24,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f64,plain,
( spl3_4
| spl3_5 ),
inference(avatar_split_clause,[],[f5,f61,f56]) ).
fof(f5,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f59,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f17,f56,f52]) ).
fof(f17,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f50,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f25,f47,f43]) ).
fof(f25,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP286-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.13 % 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 : n004.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 22:22:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.50 % (8678)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51 % (8686)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.51 % (8693)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)
% 0.21/0.51 % (8679)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)
% 0.21/0.52 % (8676)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)
% 0.21/0.52 % (8692)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.52 % (8682)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.52 % (8682)Instruction limit reached!
% 0.21/0.52 % (8682)------------------------------
% 0.21/0.52 % (8682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (8682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (8682)Termination reason: Unknown
% 0.21/0.52 % (8682)Termination phase: Property scanning
% 0.21/0.52
% 0.21/0.52 % (8682)Memory used [KB]: 895
% 0.21/0.52 % (8682)Time elapsed: 0.002 s
% 0.21/0.52 % (8682)Instructions burned: 2 (million)
% 0.21/0.52 % (8682)------------------------------
% 0.21/0.52 % (8682)------------------------------
% 0.21/0.52 % (8675)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)
% 0.21/0.52 % (8677)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)
% 0.21/0.52 % (8681)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.52 % (8680)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)
% 0.21/0.53 % (8695)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.53 % (8689)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)
% 0.21/0.53 % (8704)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)
% 0.21/0.53 TRYING [1]
% 0.21/0.53 % (8703)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.53 % (8688)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)
% 0.21/0.53 % (8674)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)
% 0.21/0.53 TRYING [2]
% 0.21/0.53 % (8702)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)
% 0.21/0.53 % (8684)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53 % (8683)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)
% 0.21/0.53 TRYING [3]
% 0.21/0.53 % (8685)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)
% 0.21/0.54 % (8696)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)
% 0.21/0.54 TRYING [1]
% 0.21/0.54 % (8697)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)
% 0.21/0.54 TRYING [2]
% 0.21/0.54 % (8699)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.54 % (8695)First to succeed.
% 0.21/0.54 % (8694)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)
% 0.21/0.54 TRYING [3]
% 0.21/0.55 % (8681)Instruction limit reached!
% 0.21/0.55 % (8681)------------------------------
% 0.21/0.55 % (8681)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (8681)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (8681)Termination reason: Unknown
% 0.21/0.55 % (8681)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (8681)Memory used [KB]: 5628
% 0.21/0.55 % (8681)Time elapsed: 0.117 s
% 0.21/0.55 % (8681)Instructions burned: 9 (million)
% 0.21/0.55 % (8681)------------------------------
% 0.21/0.55 % (8681)------------------------------
% 0.21/0.55 TRYING [4]
% 0.21/0.55 % (8691)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.55 TRYING [1]
% 0.21/0.55 TRYING [2]
% 0.21/0.55 % (8700)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)
% 0.21/0.55 TRYING [3]
% 1.60/0.55 % (8690)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.60/0.56 TRYING [4]
% 1.60/0.56 % (8687)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.60/0.56 % (8698)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.60/0.57 % (8684)Also succeeded, but the first one will report.
% 1.60/0.57 % (8695)Refutation found. Thanks to Tanya!
% 1.60/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.60/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.60/0.57 % (8695)------------------------------
% 1.60/0.57 % (8695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.57 % (8695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.57 % (8695)Termination reason: Refutation
% 1.60/0.57
% 1.60/0.57 % (8695)Memory used [KB]: 5628
% 1.60/0.57 % (8695)Time elapsed: 0.149 s
% 1.60/0.57 % (8695)Instructions burned: 16 (million)
% 1.60/0.57 % (8695)------------------------------
% 1.60/0.57 % (8695)------------------------------
% 1.60/0.57 % (8670)Success in time 0.216 s
%------------------------------------------------------------------------------