TSTP Solution File: GRP361-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP361-1 : 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 : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:21:25 EDT 2022
% Result : Unsatisfiable 1.63s 0.59s
% Output : Refutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 45
% Syntax : Number of formulae : 232 ( 7 unt; 0 def)
% Number of atoms : 1035 ( 271 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 1589 ( 786 ~; 785 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f549,plain,
$false,
inference(avatar_sat_refutation,[],[f48,f57,f62,f70,f75,f76,f81,f82,f87,f93,f98,f99,f100,f102,f107,f109,f118,f121,f122,f123,f127,f128,f129,f130,f131,f132,f221,f235,f248,f255,f267,f312,f400,f501,f530,f541,f548]) ).
fof(f548,plain,
( ~ spl2_1
| ~ spl2_4
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[],[f547]) ).
fof(f547,plain,
( $false
| ~ spl2_1
| ~ spl2_4
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13
| ~ spl2_16 ),
inference(subsumption_resolution,[],[f546,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f546,plain,
( identity != multiply(identity,identity)
| ~ spl2_1
| ~ spl2_4
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f545]) ).
fof(f545,plain,
( identity != multiply(identity,identity)
| identity != identity
| ~ spl2_1
| ~ spl2_4
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13
| ~ spl2_16 ),
inference(superposition,[],[f544,f457]) ).
fof(f457,plain,
( identity = inverse(identity)
| ~ spl2_1
| ~ spl2_4
| ~ spl2_9
| ~ spl2_13 ),
inference(backward_demodulation,[],[f440,f455]) ).
fof(f455,plain,
( identity = sk_c3
| ~ spl2_1
| ~ spl2_4
| ~ spl2_9
| ~ spl2_13 ),
inference(forward_demodulation,[],[f442,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f442,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl2_1
| ~ spl2_4
| ~ spl2_9
| ~ spl2_13 ),
inference(backward_demodulation,[],[f404,f437]) ).
fof(f437,plain,
( identity = sk_c7
| ~ spl2_1
| ~ spl2_4
| ~ spl2_13 ),
inference(forward_demodulation,[],[f433,f2]) ).
fof(f433,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl2_1
| ~ spl2_4
| ~ spl2_13 ),
inference(backward_demodulation,[],[f415,f422]) ).
fof(f422,plain,
( sk_c6 = sk_c5
| ~ spl2_1
| ~ spl2_4
| ~ spl2_13 ),
inference(forward_demodulation,[],[f421,f43]) ).
fof(f43,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl2_1
<=> sk_c6 = multiply(sk_c5,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f421,plain,
( sk_c5 = multiply(sk_c5,sk_c7)
| ~ spl2_4
| ~ spl2_13 ),
inference(forward_demodulation,[],[f419,f106]) ).
fof(f106,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl2_13 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f104,plain,
( spl2_13
<=> sk_c5 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).
fof(f419,plain,
( sk_c5 = multiply(inverse(sk_c4),sk_c7)
| ~ spl2_4 ),
inference(superposition,[],[f142,f56]) ).
fof(f56,plain,
( sk_c7 = multiply(sk_c4,sk_c5)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f54,plain,
( spl2_4
<=> sk_c7 = multiply(sk_c4,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f142,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f138,f1]) ).
fof(f138,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f415,plain,
( sk_c7 = multiply(inverse(sk_c5),sk_c6)
| ~ spl2_1 ),
inference(superposition,[],[f142,f43]) ).
fof(f404,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl2_9 ),
inference(superposition,[],[f179,f80]) ).
fof(f80,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl2_9
<=> sk_c7 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
fof(f179,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f142,f2]) ).
fof(f440,plain,
( identity = inverse(sk_c3)
| ~ spl2_1
| ~ spl2_4
| ~ spl2_9
| ~ spl2_13 ),
inference(backward_demodulation,[],[f80,f437]) ).
fof(f544,plain,
( ! [X6] :
( identity != inverse(X6)
| identity != multiply(X6,identity) )
| ~ spl2_1
| ~ spl2_4
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13
| ~ spl2_16 ),
inference(forward_demodulation,[],[f543,f437]) ).
fof(f543,plain,
( ! [X6] :
( sk_c7 != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl2_1
| ~ spl2_4
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13
| ~ spl2_16 ),
inference(forward_demodulation,[],[f542,f503]) ).
fof(f503,plain,
( identity = sk_c5
| ~ spl2_1
| ~ spl2_4
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13 ),
inference(forward_demodulation,[],[f502,f457]) ).
fof(f502,plain,
( sk_c5 = inverse(identity)
| ~ spl2_1
| ~ spl2_4
| ~ spl2_11
| ~ spl2_13 ),
inference(forward_demodulation,[],[f91,f437]) ).
fof(f91,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl2_11
<=> sk_c5 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).
fof(f542,plain,
( ! [X6] :
( sk_c5 != inverse(X6)
| sk_c7 != multiply(X6,identity) )
| ~ spl2_1
| ~ spl2_4
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13
| ~ spl2_16 ),
inference(forward_demodulation,[],[f126,f503]) ).
fof(f126,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c5)
| sk_c5 != inverse(X6) )
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl2_16
<=> ! [X6] :
( sk_c7 != multiply(X6,sk_c5)
| sk_c5 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_16])]) ).
fof(f541,plain,
( ~ spl2_1
| ~ spl2_4
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f540]) ).
fof(f540,plain,
( $false
| ~ spl2_1
| ~ spl2_4
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13
| ~ spl2_14 ),
inference(subsumption_resolution,[],[f539,f1]) ).
fof(f539,plain,
( identity != multiply(identity,identity)
| ~ spl2_1
| ~ spl2_4
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f538]) ).
fof(f538,plain,
( identity != multiply(identity,identity)
| identity != identity
| ~ spl2_1
| ~ spl2_4
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13
| ~ spl2_14 ),
inference(superposition,[],[f536,f457]) ).
fof(f536,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != multiply(X5,identity) )
| ~ spl2_1
| ~ spl2_4
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13
| ~ spl2_14 ),
inference(forward_demodulation,[],[f535,f437]) ).
fof(f535,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| identity != multiply(X5,identity) )
| ~ spl2_1
| ~ spl2_4
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13
| ~ spl2_14 ),
inference(forward_demodulation,[],[f534,f437]) ).
fof(f534,plain,
( ! [X5] :
( sk_c7 != multiply(X5,identity)
| sk_c7 != inverse(X5) )
| ~ spl2_1
| ~ spl2_4
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13
| ~ spl2_14 ),
inference(forward_demodulation,[],[f113,f504]) ).
fof(f504,plain,
( identity = sk_c6
| ~ spl2_1
| ~ spl2_4
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13 ),
inference(backward_demodulation,[],[f422,f503]) ).
fof(f113,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5) )
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f112,plain,
( spl2_14
<=> ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).
fof(f530,plain,
( ~ spl2_1
| spl2_2
| ~ spl2_4
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f529]) ).
fof(f529,plain,
( $false
| ~ spl2_1
| spl2_2
| ~ spl2_4
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13 ),
inference(subsumption_resolution,[],[f528,f1]) ).
fof(f528,plain,
( identity != multiply(identity,identity)
| ~ spl2_1
| spl2_2
| ~ spl2_4
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13 ),
inference(forward_demodulation,[],[f527,f504]) ).
fof(f527,plain,
( identity != multiply(sk_c6,identity)
| ~ spl2_1
| spl2_2
| ~ spl2_4
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13 ),
inference(forward_demodulation,[],[f526,f503]) ).
fof(f526,plain,
( identity != multiply(sk_c6,sk_c5)
| ~ spl2_1
| spl2_2
| ~ spl2_4
| ~ spl2_13 ),
inference(forward_demodulation,[],[f46,f437]) ).
fof(f46,plain,
( multiply(sk_c6,sk_c5) != sk_c7
| spl2_2 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f45,plain,
( spl2_2
<=> multiply(sk_c6,sk_c5) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f501,plain,
( ~ spl2_1
| ~ spl2_4
| ~ spl2_9
| spl2_11
| ~ spl2_12
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f500]) ).
fof(f500,plain,
( $false
| ~ spl2_1
| ~ spl2_4
| ~ spl2_9
| spl2_11
| ~ spl2_12
| ~ spl2_13 ),
inference(subsumption_resolution,[],[f491,f462]) ).
fof(f462,plain,
( identity != sk_c6
| ~ spl2_1
| ~ spl2_4
| ~ spl2_9
| spl2_11
| ~ spl2_13 ),
inference(backward_demodulation,[],[f449,f457]) ).
fof(f449,plain,
( sk_c6 != inverse(identity)
| ~ spl2_1
| ~ spl2_4
| spl2_11
| ~ spl2_13 ),
inference(backward_demodulation,[],[f427,f437]) ).
fof(f427,plain,
( sk_c6 != inverse(sk_c7)
| ~ spl2_1
| ~ spl2_4
| spl2_11
| ~ spl2_13 ),
inference(backward_demodulation,[],[f90,f422]) ).
fof(f90,plain,
( sk_c5 != inverse(sk_c7)
| spl2_11 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f491,plain,
( identity = sk_c6
| ~ spl2_1
| ~ spl2_4
| ~ spl2_9
| ~ spl2_12
| ~ spl2_13 ),
inference(superposition,[],[f1,f458]) ).
fof(f458,plain,
( identity = multiply(identity,sk_c6)
| ~ spl2_1
| ~ spl2_4
| ~ spl2_9
| ~ spl2_12
| ~ spl2_13 ),
inference(backward_demodulation,[],[f441,f455]) ).
fof(f441,plain,
( identity = multiply(sk_c3,sk_c6)
| ~ spl2_1
| ~ spl2_4
| ~ spl2_12
| ~ spl2_13 ),
inference(backward_demodulation,[],[f97,f437]) ).
fof(f97,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl2_12
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).
fof(f400,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_4
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f399]) ).
fof(f399,plain,
( $false
| ~ spl2_1
| ~ spl2_2
| ~ spl2_4
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13 ),
inference(subsumption_resolution,[],[f398,f1]) ).
fof(f398,plain,
( identity != multiply(identity,identity)
| ~ spl2_1
| ~ spl2_2
| ~ spl2_4
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13 ),
inference(forward_demodulation,[],[f397,f1]) ).
fof(f397,plain,
( identity != multiply(identity,multiply(identity,identity))
| ~ spl2_1
| ~ spl2_2
| ~ spl2_4
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13 ),
inference(trivial_inequality_removal,[],[f396]) ).
fof(f396,plain,
( identity != identity
| identity != multiply(identity,multiply(identity,identity))
| ~ spl2_1
| ~ spl2_2
| ~ spl2_4
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13 ),
inference(superposition,[],[f383,f374]) ).
fof(f374,plain,
( identity = inverse(identity)
| ~ spl2_1
| ~ spl2_2
| ~ spl2_4
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13 ),
inference(backward_demodulation,[],[f279,f372]) ).
fof(f372,plain,
( identity = sk_c5
| ~ spl2_1
| ~ spl2_2
| ~ spl2_4
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13 ),
inference(forward_demodulation,[],[f370,f281]) ).
fof(f281,plain,
( identity = multiply(sk_c5,sk_c5)
| ~ spl2_1
| ~ spl2_2
| ~ spl2_11 ),
inference(backward_demodulation,[],[f135,f274]) ).
fof(f274,plain,
( sk_c5 = sk_c7
| ~ spl2_1
| ~ spl2_2
| ~ spl2_11 ),
inference(forward_demodulation,[],[f270,f1]) ).
fof(f270,plain,
( sk_c7 = multiply(identity,sk_c5)
| ~ spl2_1
| ~ spl2_2
| ~ spl2_11 ),
inference(backward_demodulation,[],[f47,f268]) ).
fof(f268,plain,
( identity = sk_c6
| ~ spl2_1
| ~ spl2_11 ),
inference(backward_demodulation,[],[f43,f135]) ).
fof(f47,plain,
( multiply(sk_c6,sk_c5) = sk_c7
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f135,plain,
( identity = multiply(sk_c5,sk_c7)
| ~ spl2_11 ),
inference(superposition,[],[f2,f91]) ).
fof(f370,plain,
( sk_c5 = multiply(sk_c5,sk_c5)
| ~ spl2_1
| ~ spl2_2
| ~ spl2_4
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13 ),
inference(backward_demodulation,[],[f357,f364]) ).
fof(f364,plain,
( sk_c5 = sk_c3
| ~ spl2_1
| ~ spl2_2
| ~ spl2_9
| ~ spl2_11 ),
inference(backward_demodulation,[],[f353,f363]) ).
fof(f363,plain,
( sk_c5 = multiply(sk_c5,identity)
| ~ spl2_1
| ~ spl2_2
| ~ spl2_11 ),
inference(forward_demodulation,[],[f360,f279]) ).
fof(f360,plain,
( sk_c5 = multiply(inverse(sk_c5),identity)
| ~ spl2_1
| ~ spl2_2
| ~ spl2_11 ),
inference(superposition,[],[f179,f279]) ).
fof(f353,plain,
( sk_c3 = multiply(sk_c5,identity)
| ~ spl2_1
| ~ spl2_2
| ~ spl2_9
| ~ spl2_11 ),
inference(forward_demodulation,[],[f350,f279]) ).
fof(f350,plain,
( sk_c3 = multiply(inverse(sk_c5),identity)
| ~ spl2_1
| ~ spl2_2
| ~ spl2_9
| ~ spl2_11 ),
inference(superposition,[],[f179,f278]) ).
fof(f278,plain,
( sk_c5 = inverse(sk_c3)
| ~ spl2_1
| ~ spl2_2
| ~ spl2_9
| ~ spl2_11 ),
inference(backward_demodulation,[],[f80,f274]) ).
fof(f357,plain,
( sk_c5 = multiply(sk_c3,sk_c5)
| ~ spl2_1
| ~ spl2_2
| ~ spl2_4
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13 ),
inference(backward_demodulation,[],[f275,f354]) ).
fof(f354,plain,
( sk_c3 = sk_c4
| ~ spl2_1
| ~ spl2_2
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13 ),
inference(backward_demodulation,[],[f296,f353]) ).
fof(f296,plain,
( sk_c4 = multiply(sk_c5,identity)
| ~ spl2_1
| ~ spl2_2
| ~ spl2_11
| ~ spl2_13 ),
inference(forward_demodulation,[],[f293,f279]) ).
fof(f293,plain,
( sk_c4 = multiply(inverse(sk_c5),identity)
| ~ spl2_13 ),
inference(superposition,[],[f179,f106]) ).
fof(f275,plain,
( sk_c5 = multiply(sk_c4,sk_c5)
| ~ spl2_1
| ~ spl2_2
| ~ spl2_4
| ~ spl2_11 ),
inference(backward_demodulation,[],[f56,f274]) ).
fof(f279,plain,
( sk_c5 = inverse(sk_c5)
| ~ spl2_1
| ~ spl2_2
| ~ spl2_11 ),
inference(backward_demodulation,[],[f91,f274]) ).
fof(f383,plain,
( ! [X4] :
( identity != inverse(X4)
| identity != multiply(identity,multiply(X4,identity)) )
| ~ spl2_1
| ~ spl2_2
| ~ spl2_4
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13 ),
inference(forward_demodulation,[],[f378,f372]) ).
fof(f378,plain,
( ! [X4] :
( sk_c5 != inverse(X4)
| identity != multiply(identity,multiply(X4,identity)) )
| ~ spl2_1
| ~ spl2_2
| ~ spl2_4
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13 ),
inference(backward_demodulation,[],[f292,f372]) ).
fof(f292,plain,
( ! [X4] :
( sk_c5 != inverse(X4)
| identity != multiply(sk_c5,multiply(X4,sk_c5)) )
| ~ spl2_1
| ~ spl2_2
| ~ spl2_7
| ~ spl2_11 ),
inference(forward_demodulation,[],[f291,f268]) ).
fof(f291,plain,
( ! [X4] :
( sk_c5 != inverse(X4)
| sk_c6 != multiply(sk_c5,multiply(X4,sk_c5)) )
| ~ spl2_1
| ~ spl2_2
| ~ spl2_7
| ~ spl2_11 ),
inference(forward_demodulation,[],[f290,f274]) ).
fof(f290,plain,
( ! [X4] :
( sk_c5 != inverse(X4)
| sk_c6 != multiply(sk_c7,multiply(X4,sk_c7)) )
| ~ spl2_1
| ~ spl2_2
| ~ spl2_7
| ~ spl2_11 ),
inference(forward_demodulation,[],[f69,f274]) ).
fof(f69,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(sk_c7,multiply(X4,sk_c7)) )
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl2_7
<=> ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(sk_c7,multiply(X4,sk_c7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
fof(f312,plain,
( ~ spl2_1
| ~ spl2_2
| spl2_3
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| ~ spl2_11
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f311]) ).
fof(f311,plain,
( $false
| ~ spl2_1
| ~ spl2_2
| spl2_3
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| ~ spl2_11
| ~ spl2_13 ),
inference(subsumption_resolution,[],[f309,f281]) ).
fof(f309,plain,
( identity != multiply(sk_c5,sk_c5)
| ~ spl2_1
| ~ spl2_2
| spl2_3
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| ~ spl2_11
| ~ spl2_13 ),
inference(backward_demodulation,[],[f287,f307]) ).
fof(f307,plain,
( sk_c5 = sk_c2
| ~ spl2_1
| ~ spl2_2
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| ~ spl2_11
| ~ spl2_13 ),
inference(forward_demodulation,[],[f305,f275]) ).
fof(f305,plain,
( multiply(sk_c4,sk_c5) = sk_c2
| ~ spl2_1
| ~ spl2_2
| ~ spl2_5
| ~ spl2_8
| ~ spl2_11
| ~ spl2_13 ),
inference(backward_demodulation,[],[f277,f301]) ).
fof(f301,plain,
( sk_c4 = sk_c1
| ~ spl2_1
| ~ spl2_2
| ~ spl2_5
| ~ spl2_11
| ~ spl2_13 ),
inference(forward_demodulation,[],[f300,f296]) ).
fof(f300,plain,
( sk_c1 = multiply(sk_c5,identity)
| ~ spl2_1
| ~ spl2_2
| ~ spl2_5
| ~ spl2_11 ),
inference(forward_demodulation,[],[f297,f279]) ).
fof(f297,plain,
( sk_c1 = multiply(inverse(sk_c5),identity)
| ~ spl2_1
| ~ spl2_2
| ~ spl2_5
| ~ spl2_11 ),
inference(superposition,[],[f179,f276]) ).
fof(f276,plain,
( sk_c5 = inverse(sk_c1)
| ~ spl2_1
| ~ spl2_2
| ~ spl2_5
| ~ spl2_11 ),
inference(backward_demodulation,[],[f61,f274]) ).
fof(f61,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl2_5
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f277,plain,
( sk_c2 = multiply(sk_c1,sk_c5)
| ~ spl2_1
| ~ spl2_2
| ~ spl2_8
| ~ spl2_11 ),
inference(backward_demodulation,[],[f74,f274]) ).
fof(f74,plain,
( sk_c2 = multiply(sk_c1,sk_c7)
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f72,plain,
( spl2_8
<=> sk_c2 = multiply(sk_c1,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).
fof(f287,plain,
( identity != multiply(sk_c5,sk_c2)
| ~ spl2_1
| ~ spl2_2
| spl2_3
| ~ spl2_11 ),
inference(forward_demodulation,[],[f273,f274]) ).
fof(f273,plain,
( identity != multiply(sk_c7,sk_c2)
| ~ spl2_1
| spl2_3
| ~ spl2_11 ),
inference(backward_demodulation,[],[f51,f268]) ).
fof(f51,plain,
( sk_c6 != multiply(sk_c7,sk_c2)
| spl2_3 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl2_3
<=> sk_c6 = multiply(sk_c7,sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f267,plain,
( ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_8
| ~ spl2_11 ),
inference(avatar_contradiction_clause,[],[f266]) ).
fof(f266,plain,
( $false
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_8
| ~ spl2_11 ),
inference(subsumption_resolution,[],[f265,f1]) ).
fof(f265,plain,
( identity != multiply(identity,identity)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_8
| ~ spl2_11 ),
inference(forward_demodulation,[],[f264,f1]) ).
fof(f264,plain,
( identity != multiply(identity,multiply(identity,identity))
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_8
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f263]) ).
fof(f263,plain,
( identity != identity
| identity != multiply(identity,multiply(identity,identity))
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_8
| ~ spl2_11 ),
inference(superposition,[],[f258,f212]) ).
fof(f212,plain,
( identity = inverse(identity)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| ~ spl2_11 ),
inference(backward_demodulation,[],[f194,f208]) ).
fof(f208,plain,
( identity = sk_c6
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| ~ spl2_11 ),
inference(backward_demodulation,[],[f190,f202]) ).
fof(f202,plain,
( identity = multiply(sk_c6,identity)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| ~ spl2_11 ),
inference(backward_demodulation,[],[f159,f198]) ).
fof(f198,plain,
( identity = sk_c1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| ~ spl2_11 ),
inference(forward_demodulation,[],[f197,f1]) ).
fof(f197,plain,
( sk_c1 = multiply(identity,identity)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| ~ spl2_11 ),
inference(forward_demodulation,[],[f183,f194]) ).
fof(f183,plain,
( sk_c1 = multiply(inverse(sk_c6),identity)
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8 ),
inference(superposition,[],[f142,f159]) ).
fof(f159,plain,
( identity = multiply(sk_c6,sk_c1)
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8 ),
inference(backward_demodulation,[],[f134,f152]) ).
fof(f152,plain,
( sk_c6 = sk_c7
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8 ),
inference(forward_demodulation,[],[f149,f52]) ).
fof(f52,plain,
( sk_c6 = multiply(sk_c7,sk_c2)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f149,plain,
( sk_c7 = multiply(sk_c7,sk_c2)
| ~ spl2_5
| ~ spl2_8 ),
inference(superposition,[],[f146,f74]) ).
fof(f146,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl2_5 ),
inference(forward_demodulation,[],[f145,f1]) ).
fof(f145,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl2_5 ),
inference(superposition,[],[f3,f134]) ).
fof(f134,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl2_5 ),
inference(superposition,[],[f2,f61]) ).
fof(f190,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8 ),
inference(backward_demodulation,[],[f153,f189]) ).
fof(f189,plain,
( identity = sk_c5
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8 ),
inference(forward_demodulation,[],[f181,f2]) ).
fof(f181,plain,
( sk_c5 = multiply(inverse(sk_c6),sk_c6)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8 ),
inference(superposition,[],[f142,f153]) ).
fof(f153,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8 ),
inference(backward_demodulation,[],[f47,f152]) ).
fof(f194,plain,
( identity = inverse(sk_c6)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| ~ spl2_11 ),
inference(backward_demodulation,[],[f158,f189]) ).
fof(f158,plain,
( sk_c5 = inverse(sk_c6)
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| ~ spl2_11 ),
inference(backward_demodulation,[],[f91,f152]) ).
fof(f258,plain,
( ! [X4] :
( identity != inverse(X4)
| identity != multiply(identity,multiply(X4,identity)) )
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_8
| ~ spl2_11 ),
inference(forward_demodulation,[],[f257,f208]) ).
fof(f257,plain,
( ! [X4] :
( sk_c6 != multiply(identity,multiply(X4,identity))
| identity != inverse(X4) )
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_8
| ~ spl2_11 ),
inference(forward_demodulation,[],[f256,f209]) ).
fof(f209,plain,
( identity = sk_c7
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| ~ spl2_11 ),
inference(backward_demodulation,[],[f152,f208]) ).
fof(f256,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c6 != multiply(sk_c7,multiply(X4,sk_c7)) )
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7
| ~ spl2_8
| ~ spl2_11 ),
inference(forward_demodulation,[],[f69,f209]) ).
fof(f255,plain,
( ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| ~ spl2_11
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[],[f254]) ).
fof(f254,plain,
( $false
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| ~ spl2_11
| ~ spl2_16 ),
inference(subsumption_resolution,[],[f253,f1]) ).
fof(f253,plain,
( identity != multiply(identity,identity)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| ~ spl2_11
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f252]) ).
fof(f252,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| ~ spl2_11
| ~ spl2_16 ),
inference(superposition,[],[f251,f212]) ).
fof(f251,plain,
( ! [X6] :
( identity != inverse(X6)
| identity != multiply(X6,identity) )
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| ~ spl2_11
| ~ spl2_16 ),
inference(forward_demodulation,[],[f250,f209]) ).
fof(f250,plain,
( ! [X6] :
( sk_c7 != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| ~ spl2_16 ),
inference(forward_demodulation,[],[f249,f189]) ).
fof(f249,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c7 != multiply(X6,sk_c5) )
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| ~ spl2_16 ),
inference(forward_demodulation,[],[f126,f189]) ).
fof(f248,plain,
( ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| ~ spl2_11
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f247]) ).
fof(f247,plain,
( $false
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| ~ spl2_11
| ~ spl2_14 ),
inference(subsumption_resolution,[],[f246,f1]) ).
fof(f246,plain,
( identity != multiply(identity,identity)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| ~ spl2_11
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f245]) ).
fof(f245,plain,
( identity != multiply(identity,identity)
| identity != identity
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| ~ spl2_11
| ~ spl2_14 ),
inference(superposition,[],[f238,f212]) ).
fof(f238,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != multiply(X5,identity) )
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| ~ spl2_11
| ~ spl2_14 ),
inference(forward_demodulation,[],[f237,f209]) ).
fof(f237,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c7 != multiply(X5,identity) )
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| ~ spl2_11
| ~ spl2_14 ),
inference(forward_demodulation,[],[f236,f208]) ).
fof(f236,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c7 != multiply(X5,sk_c6) )
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| ~ spl2_11
| ~ spl2_14 ),
inference(forward_demodulation,[],[f113,f209]) ).
fof(f235,plain,
( spl2_1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| ~ spl2_11 ),
inference(avatar_contradiction_clause,[],[f234]) ).
fof(f234,plain,
( $false
| spl2_1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| ~ spl2_11 ),
inference(subsumption_resolution,[],[f233,f208]) ).
fof(f233,plain,
( identity != sk_c6
| spl2_1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| ~ spl2_11 ),
inference(forward_demodulation,[],[f232,f1]) ).
fof(f232,plain,
( sk_c6 != multiply(identity,identity)
| spl2_1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| ~ spl2_11 ),
inference(forward_demodulation,[],[f231,f189]) ).
fof(f231,plain,
( sk_c6 != multiply(sk_c5,identity)
| spl2_1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| ~ spl2_11 ),
inference(forward_demodulation,[],[f42,f209]) ).
fof(f42,plain,
( sk_c6 != multiply(sk_c5,sk_c7)
| spl2_1 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f221,plain,
( ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| spl2_10
| ~ spl2_11 ),
inference(avatar_contradiction_clause,[],[f220]) ).
fof(f220,plain,
( $false
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| spl2_10
| ~ spl2_11 ),
inference(subsumption_resolution,[],[f210,f1]) ).
fof(f210,plain,
( identity != multiply(identity,identity)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| spl2_10
| ~ spl2_11 ),
inference(backward_demodulation,[],[f191,f208]) ).
fof(f191,plain,
( identity != multiply(sk_c6,sk_c6)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| spl2_10 ),
inference(backward_demodulation,[],[f157,f189]) ).
fof(f157,plain,
( sk_c5 != multiply(sk_c6,sk_c6)
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| spl2_10 ),
inference(backward_demodulation,[],[f85,f152]) ).
fof(f85,plain,
( sk_c5 != multiply(sk_c6,sk_c7)
| spl2_10 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl2_10
<=> sk_c5 = multiply(sk_c6,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
fof(f132,plain,
( spl2_13
| spl2_8 ),
inference(avatar_split_clause,[],[f27,f72,f104]) ).
fof(f27,axiom,
( sk_c2 = multiply(sk_c1,sk_c7)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f131,plain,
( spl2_13
| spl2_5 ),
inference(avatar_split_clause,[],[f33,f59,f104]) ).
fof(f33,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f130,plain,
( spl2_5
| spl2_4 ),
inference(avatar_split_clause,[],[f32,f54,f59]) ).
fof(f32,axiom,
( sk_c7 = multiply(sk_c4,sk_c5)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f129,plain,
( spl2_2
| spl2_4 ),
inference(avatar_split_clause,[],[f8,f54,f45]) ).
fof(f8,axiom,
( sk_c7 = multiply(sk_c4,sk_c5)
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f128,plain,
( spl2_3
| spl2_13 ),
inference(avatar_split_clause,[],[f21,f104,f50]) ).
fof(f21,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c6 = multiply(sk_c7,sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f127,plain,
( spl2_15
| spl2_16 ),
inference(avatar_split_clause,[],[f36,f125,f115]) ).
fof(f115,plain,
( spl2_15
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).
fof(f36,plain,
! [X6] :
( sk_c7 != multiply(X6,sk_c5)
| sP0
| sk_c5 != inverse(X6) ),
inference(cnf_transformation,[],[f36_D]) ).
fof(f36_D,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c5)
| sk_c5 != inverse(X6) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f123,plain,
( spl2_2
| spl2_13 ),
inference(avatar_split_clause,[],[f9,f104,f45]) ).
fof(f9,axiom,
( sk_c5 = inverse(sk_c4)
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f122,plain,
( spl2_9
| spl2_5 ),
inference(avatar_split_clause,[],[f30,f59,f78]) ).
fof(f30,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f121,plain,
( spl2_9
| spl2_2 ),
inference(avatar_split_clause,[],[f6,f45,f78]) ).
fof(f6,axiom,
( multiply(sk_c6,sk_c5) = sk_c7
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f118,plain,
( ~ spl2_10
| spl2_14
| ~ spl2_2
| ~ spl2_15
| ~ spl2_6
| ~ spl2_11
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f39,f41,f89,f64,f115,f45,f112,f84]) ).
fof(f64,plain,
( spl2_6
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f39,plain,
! [X5] :
( sk_c6 != multiply(sk_c5,sk_c7)
| sk_c5 != inverse(sk_c7)
| ~ sP1
| ~ sP0
| multiply(sk_c6,sk_c5) != sk_c7
| sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6)
| sk_c5 != multiply(sk_c6,sk_c7) ),
inference(general_splitting,[],[f37,f38_D]) ).
fof(f38,plain,
! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
| sP1 ),
inference(cnf_transformation,[],[f38_D]) ).
fof(f38_D,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(sk_c7,multiply(X4,sk_c7)) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f37,plain,
! [X4,X5] :
( sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
| multiply(sk_c6,sk_c5) != sk_c7
| sk_c5 != inverse(sk_c7)
| sk_c7 != inverse(X4)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c7 != multiply(X5,sk_c6)
| ~ sP0 ),
inference(general_splitting,[],[f35,f36_D]) ).
fof(f35,plain,
! [X6,X4,X5] :
( sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
| multiply(sk_c6,sk_c5) != sk_c7
| sk_c5 != inverse(sk_c7)
| sk_c7 != inverse(X4)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c7 != multiply(X6,sk_c5)
| sk_c5 != inverse(X6)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c7 != multiply(X5,sk_c6) ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X6,X4,X5] :
( sk_c6 != multiply(sk_c7,X3)
| multiply(sk_c6,sk_c5) != sk_c7
| sk_c5 != inverse(sk_c7)
| multiply(X4,sk_c7) != X3
| sk_c7 != inverse(X4)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c7 != multiply(X6,sk_c5)
| sk_c5 != inverse(X6)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c7 != multiply(X5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f109,plain,
( spl2_1
| spl2_11 ),
inference(avatar_split_clause,[],[f11,f89,f41]) ).
fof(f11,axiom,
( sk_c5 = inverse(sk_c7)
| sk_c6 = multiply(sk_c5,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f107,plain,
( spl2_11
| spl2_13 ),
inference(avatar_split_clause,[],[f15,f104,f89]) ).
fof(f15,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c5 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f102,plain,
( spl2_4
| spl2_11 ),
inference(avatar_split_clause,[],[f14,f89,f54]) ).
fof(f14,axiom,
( sk_c5 = inverse(sk_c7)
| sk_c7 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f100,plain,
( spl2_10
| spl2_3 ),
inference(avatar_split_clause,[],[f16,f50,f84]) ).
fof(f16,axiom,
( sk_c6 = multiply(sk_c7,sk_c2)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f99,plain,
( spl2_11
| spl2_9 ),
inference(avatar_split_clause,[],[f12,f78,f89]) ).
fof(f12,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c5 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f98,plain,
( spl2_12
| spl2_11 ),
inference(avatar_split_clause,[],[f13,f89,f95]) ).
fof(f13,axiom,
( sk_c5 = inverse(sk_c7)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f93,plain,
( spl2_10
| spl2_5 ),
inference(avatar_split_clause,[],[f28,f59,f84]) ).
fof(f28,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f87,plain,
( spl2_10
| spl2_8 ),
inference(avatar_split_clause,[],[f22,f72,f84]) ).
fof(f22,axiom,
( sk_c2 = multiply(sk_c1,sk_c7)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f82,plain,
( spl2_1
| spl2_3 ),
inference(avatar_split_clause,[],[f17,f50,f41]) ).
fof(f17,axiom,
( sk_c6 = multiply(sk_c7,sk_c2)
| sk_c6 = multiply(sk_c5,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f81,plain,
( spl2_8
| spl2_9 ),
inference(avatar_split_clause,[],[f24,f78,f72]) ).
fof(f24,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c2 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f76,plain,
( spl2_8
| spl2_1 ),
inference(avatar_split_clause,[],[f23,f41,f72]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c2 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f75,plain,
( spl2_8
| spl2_4 ),
inference(avatar_split_clause,[],[f26,f54,f72]) ).
fof(f26,axiom,
( sk_c7 = multiply(sk_c4,sk_c5)
| sk_c2 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f70,plain,
( spl2_6
| spl2_7 ),
inference(avatar_split_clause,[],[f38,f68,f64]) ).
fof(f62,plain,
( spl2_1
| spl2_5 ),
inference(avatar_split_clause,[],[f29,f59,f41]) ).
fof(f29,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f57,plain,
( spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f20,f54,f50]) ).
fof(f20,axiom,
( sk_c7 = multiply(sk_c4,sk_c5)
| sk_c6 = multiply(sk_c7,sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f48,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f5,f45,f41]) ).
fof(f5,axiom,
( multiply(sk_c6,sk_c5) = sk_c7
| sk_c6 = multiply(sk_c5,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP361-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 22:25:25 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.50 % (29328)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 % (29344)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.51 % (29320)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)
% 0.20/0.51 % (29328)Instruction limit reached!
% 0.20/0.51 % (29328)------------------------------
% 0.20/0.51 % (29328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (29328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (29328)Termination reason: Unknown
% 0.20/0.51 % (29328)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (29328)Memory used [KB]: 5373
% 0.20/0.51 % (29328)Time elapsed: 0.003 s
% 0.20/0.51 % (29328)Instructions burned: 3 (million)
% 0.20/0.51 % (29328)------------------------------
% 0.20/0.51 % (29328)------------------------------
% 0.20/0.51 TRYING [1]
% 0.20/0.51 TRYING [2]
% 0.20/0.52 % (29335)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)
% 0.20/0.52 TRYING [3]
% 0.20/0.52 % (29324)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (29343)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)
% 0.20/0.53 % (29325)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)
% 0.20/0.53 % (29332)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.53 TRYING [4]
% 0.20/0.53 % (29321)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)
% 0.20/0.53 % (29340)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)
% 0.20/0.54 % (29339)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)
% 0.20/0.54 % (29334)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)
% 0.20/0.54 % (29330)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (29346)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)
% 0.20/0.54 % (29341)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 % (29348)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (29322)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)
% 0.20/0.54 % (29342)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)
% 0.20/0.54 % (29331)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)
% 1.36/0.54 % (29326)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)
% 1.36/0.54 % (29323)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)
% 1.36/0.55 % (29345)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.36/0.55 % (29333)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.36/0.55 TRYING [1]
% 1.36/0.55 TRYING [2]
% 1.36/0.55 TRYING [3]
% 1.36/0.55 % (29349)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)
% 1.36/0.55 % (29336)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)
% 1.36/0.55 % (29327)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.36/0.55 % (29347)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)
% 1.36/0.55 % (29329)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)
% 1.36/0.55 % (29338)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.36/0.56 % (29337)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.63/0.56 TRYING [1]
% 1.63/0.57 TRYING [5]
% 1.63/0.57 % (29341)First to succeed.
% 1.63/0.57 TRYING [2]
% 1.63/0.57 TRYING [4]
% 1.63/0.57 % (29327)Instruction limit reached!
% 1.63/0.57 % (29327)------------------------------
% 1.63/0.57 % (29327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.57 % (29327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.57 % (29327)Termination reason: Unknown
% 1.63/0.57 % (29327)Termination phase: Saturation
% 1.63/0.57
% 1.63/0.57 % (29327)Memory used [KB]: 5500
% 1.63/0.57 % (29327)Time elapsed: 0.151 s
% 1.63/0.57 % (29327)Instructions burned: 8 (million)
% 1.63/0.57 % (29327)------------------------------
% 1.63/0.57 % (29327)------------------------------
% 1.63/0.58 TRYING [3]
% 1.63/0.59 % (29322)Instruction limit reached!
% 1.63/0.59 % (29322)------------------------------
% 1.63/0.59 % (29322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.59 % (29322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.59 % (29322)Termination reason: Unknown
% 1.63/0.59 % (29322)Termination phase: Saturation
% 1.63/0.59
% 1.63/0.59 % (29322)Memory used [KB]: 1151
% 1.63/0.59 % (29322)Time elapsed: 0.172 s
% 1.63/0.59 % (29322)Instructions burned: 39 (million)
% 1.63/0.59 % (29322)------------------------------
% 1.63/0.59 % (29322)------------------------------
% 1.63/0.59 % (29341)Refutation found. Thanks to Tanya!
% 1.63/0.59 % SZS status Unsatisfiable for theBenchmark
% 1.63/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.63/0.59 % (29341)------------------------------
% 1.63/0.59 % (29341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.59 % (29341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.59 % (29341)Termination reason: Refutation
% 1.63/0.59
% 1.63/0.59 % (29341)Memory used [KB]: 5628
% 1.63/0.59 % (29341)Time elapsed: 0.173 s
% 1.63/0.59 % (29341)Instructions burned: 18 (million)
% 1.63/0.59 % (29341)------------------------------
% 1.63/0.59 % (29341)------------------------------
% 1.63/0.59 % (29319)Success in time 0.236 s
%------------------------------------------------------------------------------