TSTP Solution File: GRP246-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP246-1 : 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 : n021.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 16:21:01 EDT 2022
% Result : Unsatisfiable 1.56s 0.59s
% Output : Refutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 83
% Syntax : Number of formulae : 274 ( 6 unt; 0 def)
% Number of atoms : 822 ( 344 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 1043 ( 495 ~; 511 |; 0 &)
% ( 37 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 39 ( 37 usr; 38 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 78 ( 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f834,plain,
$false,
inference(avatar_sat_refutation,[],[f94,f99,f107,f108,f126,f127,f132,f137,f145,f146,f151,f152,f153,f159,f160,f162,f163,f164,f165,f166,f172,f173,f174,f175,f177,f178,f179,f180,f188,f189,f194,f195,f209,f210,f214,f216,f217,f218,f219,f220,f221,f222,f223,f225,f226,f227,f228,f229,f231,f250,f269,f274,f328,f333,f389,f395,f493,f530,f559,f583,f646,f655,f675,f678,f692,f770,f813,f819,f832]) ).
fof(f832,plain,
( spl6_33
| ~ spl6_5
| ~ spl6_17 ),
inference(avatar_split_clause,[],[f831,f148,f91,f276]) ).
fof(f276,plain,
( spl6_33
<=> identity = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_33])]) ).
fof(f91,plain,
( spl6_5
<=> sk_c11 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f148,plain,
( spl6_17
<=> multiply(sk_c1,sk_c11) = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_17])]) ).
fof(f831,plain,
( identity = sk_c10
| ~ spl6_5
| ~ spl6_17 ),
inference(forward_demodulation,[],[f828,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f828,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl6_5
| ~ spl6_17 ),
inference(superposition,[],[f304,f790]) ).
fof(f790,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl6_5
| ~ spl6_17 ),
inference(forward_demodulation,[],[f788,f93]) ).
fof(f93,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f788,plain,
( sk_c11 = multiply(inverse(sk_c1),sk_c10)
| ~ spl6_17 ),
inference(superposition,[],[f304,f150]) ).
fof(f150,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| ~ spl6_17 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f304,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f291,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f291,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(f819,plain,
( ~ spl6_5
| ~ spl6_15
| ~ spl6_17 ),
inference(avatar_split_clause,[],[f818,f148,f139,f91]) ).
fof(f139,plain,
( spl6_15
<=> ! [X6] :
( sk_c10 != multiply(X6,sk_c11)
| sk_c11 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_15])]) ).
fof(f818,plain,
( sk_c11 != inverse(sk_c1)
| ~ spl6_15
| ~ spl6_17 ),
inference(trivial_inequality_removal,[],[f817]) ).
fof(f817,plain,
( sk_c10 != sk_c10
| sk_c11 != inverse(sk_c1)
| ~ spl6_15
| ~ spl6_17 ),
inference(superposition,[],[f140,f150]) ).
fof(f140,plain,
( ! [X6] :
( sk_c10 != multiply(X6,sk_c11)
| sk_c11 != inverse(X6) )
| ~ spl6_15 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f813,plain,
( ~ spl6_11
| ~ spl6_1
| ~ spl6_8
| ~ spl6_28 ),
inference(avatar_split_clause,[],[f812,f246,f105,f73,f119]) ).
fof(f119,plain,
( spl6_11
<=> sk_c10 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).
fof(f73,plain,
( spl6_1
<=> sk_c9 = multiply(sk_c2,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f105,plain,
( spl6_8
<=> ! [X4] :
( sk_c10 != inverse(X4)
| sk_c9 != multiply(X4,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f246,plain,
( spl6_28
<=> identity = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_28])]) ).
fof(f812,plain,
( sk_c10 != inverse(sk_c2)
| ~ spl6_1
| ~ spl6_8
| ~ spl6_28 ),
inference(trivial_inequality_removal,[],[f810]) ).
fof(f810,plain,
( sk_c10 != inverse(sk_c2)
| identity != identity
| ~ spl6_1
| ~ spl6_8
| ~ spl6_28 ),
inference(superposition,[],[f779,f774]) ).
fof(f774,plain,
( identity = multiply(sk_c2,sk_c10)
| ~ spl6_1
| ~ spl6_28 ),
inference(forward_demodulation,[],[f75,f247]) ).
fof(f247,plain,
( identity = sk_c9
| ~ spl6_28 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f75,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f779,plain,
( ! [X4] :
( identity != multiply(X4,sk_c10)
| sk_c10 != inverse(X4) )
| ~ spl6_8
| ~ spl6_28 ),
inference(forward_demodulation,[],[f106,f247]) ).
fof(f106,plain,
( ! [X4] :
( sk_c9 != multiply(X4,sk_c10)
| sk_c10 != inverse(X4) )
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f770,plain,
( ~ spl6_14
| ~ spl6_19
| ~ spl6_26
| ~ spl6_33 ),
inference(avatar_split_clause,[],[f769,f276,f212,f169,f134]) ).
fof(f134,plain,
( spl6_14
<=> sk_c11 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_14])]) ).
fof(f169,plain,
( spl6_19
<=> sk_c11 = multiply(sk_c6,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_19])]) ).
fof(f212,plain,
( spl6_26
<=> ! [X8] :
( sk_c11 != inverse(X8)
| sk_c11 != multiply(X8,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_26])]) ).
fof(f769,plain,
( sk_c11 != inverse(sk_c6)
| ~ spl6_19
| ~ spl6_26
| ~ spl6_33 ),
inference(trivial_inequality_removal,[],[f767]) ).
fof(f767,plain,
( sk_c11 != inverse(sk_c6)
| sk_c11 != sk_c11
| ~ spl6_19
| ~ spl6_26
| ~ spl6_33 ),
inference(superposition,[],[f743,f496]) ).
fof(f496,plain,
( sk_c11 = multiply(sk_c6,identity)
| ~ spl6_19
| ~ spl6_33 ),
inference(forward_demodulation,[],[f171,f277]) ).
fof(f277,plain,
( identity = sk_c10
| ~ spl6_33 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f171,plain,
( sk_c11 = multiply(sk_c6,sk_c10)
| ~ spl6_19 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f743,plain,
( ! [X8] :
( sk_c11 != multiply(X8,identity)
| sk_c11 != inverse(X8) )
| ~ spl6_26
| ~ spl6_33 ),
inference(forward_demodulation,[],[f213,f277]) ).
fof(f213,plain,
( ! [X8] :
( sk_c11 != multiply(X8,sk_c10)
| sk_c11 != inverse(X8) )
| ~ spl6_26 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f692,plain,
( spl6_28
| ~ spl6_1
| ~ spl6_11
| ~ spl6_33 ),
inference(avatar_split_clause,[],[f691,f276,f119,f73,f246]) ).
fof(f691,plain,
( identity = sk_c9
| ~ spl6_1
| ~ spl6_11
| ~ spl6_33 ),
inference(forward_demodulation,[],[f690,f1]) ).
fof(f690,plain,
( sk_c9 = multiply(identity,identity)
| ~ spl6_1
| ~ spl6_11
| ~ spl6_33 ),
inference(forward_demodulation,[],[f497,f628]) ).
fof(f628,plain,
( identity = sk_c2
| ~ spl6_11
| ~ spl6_33 ),
inference(forward_demodulation,[],[f626,f2]) ).
fof(f626,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl6_11
| ~ spl6_33 ),
inference(superposition,[],[f304,f508]) ).
fof(f508,plain,
( identity = multiply(identity,sk_c2)
| ~ spl6_11
| ~ spl6_33 ),
inference(superposition,[],[f2,f494]) ).
fof(f494,plain,
( identity = inverse(sk_c2)
| ~ spl6_11
| ~ spl6_33 ),
inference(forward_demodulation,[],[f121,f277]) ).
fof(f121,plain,
( sk_c10 = inverse(sk_c2)
| ~ spl6_11 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f497,plain,
( sk_c9 = multiply(sk_c2,identity)
| ~ spl6_1
| ~ spl6_33 ),
inference(forward_demodulation,[],[f75,f277]) ).
fof(f678,plain,
( ~ spl6_33
| ~ spl6_11
| spl6_31
| ~ spl6_33 ),
inference(avatar_split_clause,[],[f677,f276,f262,f119,f276]) ).
fof(f262,plain,
( spl6_31
<=> sk_c10 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_31])]) ).
fof(f677,plain,
( identity != sk_c10
| ~ spl6_11
| spl6_31
| ~ spl6_33 ),
inference(forward_demodulation,[],[f264,f633]) ).
fof(f633,plain,
( identity = inverse(identity)
| ~ spl6_11
| ~ spl6_33 ),
inference(backward_demodulation,[],[f494,f628]) ).
fof(f264,plain,
( sk_c10 != inverse(identity)
| spl6_31 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f675,plain,
( ~ spl6_33
| ~ spl6_28
| spl6_32 ),
inference(avatar_split_clause,[],[f674,f266,f246,f276]) ).
fof(f266,plain,
( spl6_32
<=> sk_c10 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_32])]) ).
fof(f674,plain,
( identity != sk_c10
| ~ spl6_28
| spl6_32 ),
inference(forward_demodulation,[],[f268,f247]) ).
fof(f268,plain,
( sk_c10 != sk_c9
| spl6_32 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f655,plain,
( ~ spl6_11
| ~ spl6_28
| ~ spl6_33
| spl6_38 ),
inference(avatar_contradiction_clause,[],[f654]) ).
fof(f654,plain,
( $false
| ~ spl6_11
| ~ spl6_28
| ~ spl6_33
| spl6_38 ),
inference(trivial_inequality_removal,[],[f653]) ).
fof(f653,plain,
( identity != identity
| ~ spl6_11
| ~ spl6_28
| ~ spl6_33
| spl6_38 ),
inference(superposition,[],[f635,f1]) ).
fof(f635,plain,
( identity != multiply(identity,identity)
| ~ spl6_11
| ~ spl6_28
| ~ spl6_33
| spl6_38 ),
inference(backward_demodulation,[],[f591,f633]) ).
fof(f591,plain,
( identity != multiply(identity,inverse(identity))
| ~ spl6_28
| ~ spl6_33
| spl6_38 ),
inference(forward_demodulation,[],[f590,f277]) ).
fof(f590,plain,
( sk_c10 != multiply(identity,inverse(identity))
| ~ spl6_28
| spl6_38 ),
inference(forward_demodulation,[],[f332,f247]) ).
fof(f332,plain,
( sk_c10 != multiply(sk_c9,inverse(sk_c9))
| spl6_38 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f330,plain,
( spl6_38
<=> sk_c10 = multiply(sk_c9,inverse(sk_c9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_38])]) ).
fof(f646,plain,
( ~ spl6_11
| ~ spl6_21
| ~ spl6_28
| ~ spl6_33 ),
inference(avatar_contradiction_clause,[],[f645]) ).
fof(f645,plain,
( $false
| ~ spl6_11
| ~ spl6_21
| ~ spl6_28
| ~ spl6_33 ),
inference(trivial_inequality_removal,[],[f644]) ).
fof(f644,plain,
( identity != identity
| ~ spl6_11
| ~ spl6_21
| ~ spl6_28
| ~ spl6_33 ),
inference(superposition,[],[f629,f1]) ).
fof(f629,plain,
( identity != multiply(identity,identity)
| ~ spl6_11
| ~ spl6_21
| ~ spl6_28
| ~ spl6_33 ),
inference(backward_demodulation,[],[f603,f628]) ).
fof(f603,plain,
( identity != multiply(sk_c2,identity)
| ~ spl6_11
| ~ spl6_21
| ~ spl6_28
| ~ spl6_33 ),
inference(trivial_inequality_removal,[],[f602]) ).
fof(f602,plain,
( identity != identity
| identity != multiply(sk_c2,identity)
| ~ spl6_11
| ~ spl6_21
| ~ spl6_28
| ~ spl6_33 ),
inference(forward_demodulation,[],[f597,f1]) ).
fof(f597,plain,
( identity != multiply(sk_c2,identity)
| identity != multiply(identity,identity)
| ~ spl6_11
| ~ spl6_21
| ~ spl6_28
| ~ spl6_33 ),
inference(superposition,[],[f586,f494]) ).
fof(f586,plain,
( ! [X9] :
( identity != multiply(inverse(X9),identity)
| identity != multiply(X9,inverse(X9)) )
| ~ spl6_21
| ~ spl6_28
| ~ spl6_33 ),
inference(forward_demodulation,[],[f585,f277]) ).
fof(f585,plain,
( ! [X9] :
( identity != multiply(X9,inverse(X9))
| sk_c10 != multiply(inverse(X9),identity) )
| ~ spl6_21
| ~ spl6_28
| ~ spl6_33 ),
inference(forward_demodulation,[],[f584,f277]) ).
fof(f584,plain,
( ! [X9] :
( sk_c10 != multiply(X9,inverse(X9))
| sk_c10 != multiply(inverse(X9),identity) )
| ~ spl6_21
| ~ spl6_28 ),
inference(forward_demodulation,[],[f187,f247]) ).
fof(f187,plain,
( ! [X9] :
( sk_c10 != multiply(inverse(X9),sk_c9)
| sk_c10 != multiply(X9,inverse(X9)) )
| ~ spl6_21 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f186,plain,
( spl6_21
<=> ! [X9] :
( sk_c10 != multiply(X9,inverse(X9))
| sk_c10 != multiply(inverse(X9),sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_21])]) ).
fof(f583,plain,
( ~ spl6_10
| ~ spl6_3
| ~ spl6_26
| ~ spl6_28
| ~ spl6_33 ),
inference(avatar_split_clause,[],[f581,f276,f246,f212,f82,f114]) ).
fof(f114,plain,
( spl6_10
<=> sk_c11 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).
fof(f82,plain,
( spl6_3
<=> sk_c11 = multiply(sk_c3,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f581,plain,
( sk_c11 != inverse(sk_c3)
| ~ spl6_3
| ~ spl6_26
| ~ spl6_28
| ~ spl6_33 ),
inference(trivial_inequality_removal,[],[f580]) ).
fof(f580,plain,
( sk_c11 != inverse(sk_c3)
| sk_c11 != sk_c11
| ~ spl6_3
| ~ spl6_26
| ~ spl6_28
| ~ spl6_33 ),
inference(superposition,[],[f568,f502]) ).
fof(f502,plain,
( sk_c11 = multiply(sk_c3,identity)
| ~ spl6_3
| ~ spl6_28 ),
inference(forward_demodulation,[],[f84,f247]) ).
fof(f84,plain,
( sk_c11 = multiply(sk_c3,sk_c9)
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f568,plain,
( ! [X8] :
( sk_c11 != multiply(X8,identity)
| sk_c11 != inverse(X8) )
| ~ spl6_26
| ~ spl6_33 ),
inference(forward_demodulation,[],[f213,f277]) ).
fof(f559,plain,
( ~ spl6_33
| ~ spl6_18
| ~ spl6_28
| ~ spl6_33
| spl6_38 ),
inference(avatar_split_clause,[],[f558,f330,f276,f246,f156,f276]) ).
fof(f156,plain,
( spl6_18
<=> sk_c10 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_18])]) ).
fof(f558,plain,
( identity != sk_c10
| ~ spl6_18
| ~ spl6_28
| ~ spl6_33
| spl6_38 ),
inference(forward_demodulation,[],[f557,f1]) ).
fof(f557,plain,
( sk_c10 != multiply(identity,identity)
| ~ spl6_18
| ~ spl6_28
| ~ spl6_33
| spl6_38 ),
inference(forward_demodulation,[],[f556,f456]) ).
fof(f456,plain,
( identity = inverse(identity)
| ~ spl6_18
| ~ spl6_33 ),
inference(forward_demodulation,[],[f420,f442]) ).
fof(f442,plain,
( identity = sk_c5
| ~ spl6_18
| ~ spl6_33 ),
inference(forward_demodulation,[],[f426,f2]) ).
fof(f426,plain,
( sk_c5 = multiply(inverse(identity),identity)
| ~ spl6_18
| ~ spl6_33 ),
inference(backward_demodulation,[],[f375,f277]) ).
fof(f375,plain,
( sk_c5 = multiply(inverse(sk_c10),identity)
| ~ spl6_18 ),
inference(superposition,[],[f304,f233]) ).
fof(f233,plain,
( identity = multiply(sk_c10,sk_c5)
| ~ spl6_18 ),
inference(superposition,[],[f2,f158]) ).
fof(f158,plain,
( sk_c10 = inverse(sk_c5)
| ~ spl6_18 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f420,plain,
( identity = inverse(sk_c5)
| ~ spl6_18
| ~ spl6_33 ),
inference(backward_demodulation,[],[f158,f277]) ).
fof(f556,plain,
( sk_c10 != multiply(identity,inverse(identity))
| ~ spl6_28
| spl6_38 ),
inference(forward_demodulation,[],[f332,f247]) ).
fof(f530,plain,
( ~ spl6_10
| ~ spl6_3
| ~ spl6_24
| ~ spl6_28 ),
inference(avatar_split_clause,[],[f527,f246,f203,f82,f114]) ).
fof(f203,plain,
( spl6_24
<=> ! [X5] :
( sk_c11 != multiply(X5,sk_c9)
| sk_c11 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_24])]) ).
fof(f527,plain,
( sk_c11 != inverse(sk_c3)
| ~ spl6_3
| ~ spl6_24
| ~ spl6_28 ),
inference(trivial_inequality_removal,[],[f524]) ).
fof(f524,plain,
( sk_c11 != inverse(sk_c3)
| sk_c11 != sk_c11
| ~ spl6_3
| ~ spl6_24
| ~ spl6_28 ),
inference(superposition,[],[f404,f502]) ).
fof(f404,plain,
( ! [X5] :
( sk_c11 != multiply(X5,identity)
| sk_c11 != inverse(X5) )
| ~ spl6_24
| ~ spl6_28 ),
inference(backward_demodulation,[],[f204,f247]) ).
fof(f204,plain,
( ! [X5] :
( sk_c11 != multiply(X5,sk_c9)
| sk_c11 != inverse(X5) )
| ~ spl6_24 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f493,plain,
( ~ spl6_2
| ~ spl6_2
| ~ spl6_14
| ~ spl6_19
| ~ spl6_24
| ~ spl6_28
| ~ spl6_33 ),
inference(avatar_split_clause,[],[f492,f276,f246,f203,f169,f134,f77,f77]) ).
fof(f77,plain,
( spl6_2
<=> sk_c11 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f492,plain,
( sk_c11 != inverse(sk_c4)
| ~ spl6_2
| ~ spl6_14
| ~ spl6_19
| ~ spl6_24
| ~ spl6_28
| ~ spl6_33 ),
inference(trivial_inequality_removal,[],[f491]) ).
fof(f491,plain,
( sk_c11 != sk_c11
| sk_c11 != inverse(sk_c4)
| ~ spl6_2
| ~ spl6_14
| ~ spl6_19
| ~ spl6_24
| ~ spl6_28
| ~ spl6_33 ),
inference(superposition,[],[f404,f431]) ).
fof(f431,plain,
( sk_c11 = multiply(sk_c4,identity)
| ~ spl6_2
| ~ spl6_14
| ~ spl6_19
| ~ spl6_33 ),
inference(backward_demodulation,[],[f400,f277]) ).
fof(f400,plain,
( sk_c11 = multiply(sk_c4,sk_c10)
| ~ spl6_2
| ~ spl6_14
| ~ spl6_19 ),
inference(backward_demodulation,[],[f171,f396]) ).
fof(f396,plain,
( sk_c4 = sk_c6
| ~ spl6_2
| ~ spl6_14 ),
inference(backward_demodulation,[],[f374,f373]) ).
fof(f373,plain,
( sk_c4 = multiply(inverse(sk_c11),identity)
| ~ spl6_2 ),
inference(superposition,[],[f304,f232]) ).
fof(f232,plain,
( identity = multiply(sk_c11,sk_c4)
| ~ spl6_2 ),
inference(superposition,[],[f2,f79]) ).
fof(f79,plain,
( sk_c11 = inverse(sk_c4)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f374,plain,
( sk_c6 = multiply(inverse(sk_c11),identity)
| ~ spl6_14 ),
inference(superposition,[],[f304,f234]) ).
fof(f234,plain,
( identity = multiply(sk_c11,sk_c6)
| ~ spl6_14 ),
inference(superposition,[],[f2,f136]) ).
fof(f136,plain,
( sk_c11 = inverse(sk_c6)
| ~ spl6_14 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f395,plain,
( spl6_33
| ~ spl6_6
| ~ spl6_12 ),
inference(avatar_split_clause,[],[f394,f123,f96,f276]) ).
fof(f96,plain,
( spl6_6
<=> sk_c10 = multiply(sk_c7,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f123,plain,
( spl6_12
<=> sk_c8 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_12])]) ).
fof(f394,plain,
( identity = sk_c10
| ~ spl6_6
| ~ spl6_12 ),
inference(forward_demodulation,[],[f383,f2]) ).
fof(f383,plain,
( sk_c10 = multiply(inverse(sk_c8),sk_c8)
| ~ spl6_6
| ~ spl6_12 ),
inference(superposition,[],[f304,f336]) ).
fof(f336,plain,
( sk_c8 = multiply(sk_c8,sk_c10)
| ~ spl6_6
| ~ spl6_12 ),
inference(superposition,[],[f302,f98]) ).
fof(f98,plain,
( sk_c10 = multiply(sk_c7,sk_c8)
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f302,plain,
( ! [X16] : multiply(sk_c8,multiply(sk_c7,X16)) = X16
| ~ spl6_12 ),
inference(forward_demodulation,[],[f300,f1]) ).
fof(f300,plain,
( ! [X16] : multiply(identity,X16) = multiply(sk_c8,multiply(sk_c7,X16))
| ~ spl6_12 ),
inference(superposition,[],[f3,f235]) ).
fof(f235,plain,
( identity = multiply(sk_c8,sk_c7)
| ~ spl6_12 ),
inference(superposition,[],[f2,f125]) ).
fof(f125,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl6_12 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f389,plain,
( spl6_28
| ~ spl6_13
| ~ spl6_18 ),
inference(avatar_split_clause,[],[f388,f156,f129,f246]) ).
fof(f129,plain,
( spl6_13
<=> multiply(sk_c5,sk_c10) = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).
fof(f388,plain,
( identity = sk_c9
| ~ spl6_13
| ~ spl6_18 ),
inference(forward_demodulation,[],[f377,f2]) ).
fof(f377,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl6_13
| ~ spl6_18 ),
inference(superposition,[],[f304,f307]) ).
fof(f307,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl6_13
| ~ spl6_18 ),
inference(superposition,[],[f301,f131]) ).
fof(f131,plain,
( multiply(sk_c5,sk_c10) = sk_c9
| ~ spl6_13 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f301,plain,
( ! [X10] : multiply(sk_c10,multiply(sk_c5,X10)) = X10
| ~ spl6_18 ),
inference(forward_demodulation,[],[f294,f1]) ).
fof(f294,plain,
( ! [X10] : multiply(sk_c10,multiply(sk_c5,X10)) = multiply(identity,X10)
| ~ spl6_18 ),
inference(superposition,[],[f3,f233]) ).
fof(f333,plain,
( ~ spl6_33
| ~ spl6_38
| ~ spl6_21 ),
inference(avatar_split_clause,[],[f315,f186,f330,f276]) ).
fof(f315,plain,
( sk_c10 != multiply(sk_c9,inverse(sk_c9))
| identity != sk_c10
| ~ spl6_21 ),
inference(superposition,[],[f187,f2]) ).
fof(f328,plain,
( ~ spl6_9
| ~ spl6_6
| ~ spl6_12
| ~ spl6_21 ),
inference(avatar_split_clause,[],[f327,f186,f123,f96,f110]) ).
fof(f110,plain,
( spl6_9
<=> sk_c10 = multiply(sk_c8,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).
fof(f327,plain,
( sk_c10 != multiply(sk_c8,sk_c9)
| ~ spl6_6
| ~ spl6_12
| ~ spl6_21 ),
inference(trivial_inequality_removal,[],[f326]) ).
fof(f326,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c8,sk_c9)
| ~ spl6_6
| ~ spl6_12
| ~ spl6_21 ),
inference(forward_demodulation,[],[f314,f98]) ).
fof(f314,plain,
( sk_c10 != multiply(sk_c7,sk_c8)
| sk_c10 != multiply(sk_c8,sk_c9)
| ~ spl6_12
| ~ spl6_21 ),
inference(superposition,[],[f187,f125]) ).
fof(f274,plain,
( ~ spl6_2
| ~ spl6_4
| ~ spl6_15 ),
inference(avatar_split_clause,[],[f273,f139,f86,f77]) ).
fof(f86,plain,
( spl6_4
<=> sk_c10 = multiply(sk_c4,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f273,plain,
( sk_c11 != inverse(sk_c4)
| ~ spl6_4
| ~ spl6_15 ),
inference(trivial_inequality_removal,[],[f272]) ).
fof(f272,plain,
( sk_c11 != inverse(sk_c4)
| sk_c10 != sk_c10
| ~ spl6_4
| ~ spl6_15 ),
inference(superposition,[],[f140,f88]) ).
fof(f88,plain,
( sk_c10 = multiply(sk_c4,sk_c11)
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f269,plain,
( ~ spl6_31
| ~ spl6_32
| ~ spl6_8 ),
inference(avatar_split_clause,[],[f236,f105,f266,f262]) ).
fof(f236,plain,
( sk_c10 != sk_c9
| sk_c10 != inverse(identity)
| ~ spl6_8 ),
inference(superposition,[],[f106,f1]) ).
fof(f250,plain,
( ~ spl6_18
| ~ spl6_8
| ~ spl6_13 ),
inference(avatar_split_clause,[],[f240,f129,f105,f156]) ).
fof(f240,plain,
( sk_c10 != inverse(sk_c5)
| ~ spl6_8
| ~ spl6_13 ),
inference(trivial_inequality_removal,[],[f238]) ).
fof(f238,plain,
( sk_c10 != inverse(sk_c5)
| sk_c9 != sk_c9
| ~ spl6_8
| ~ spl6_13 ),
inference(superposition,[],[f106,f131]) ).
fof(f231,plain,
( spl6_14
| spl6_10 ),
inference(avatar_split_clause,[],[f44,f114,f134]) ).
fof(f44,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c11 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f229,plain,
( spl6_17
| spl6_2 ),
inference(avatar_split_clause,[],[f5,f77,f148]) ).
fof(f5,axiom,
( sk_c11 = inverse(sk_c4)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f228,plain,
( spl6_3
| spl6_12 ),
inference(avatar_split_clause,[],[f56,f123,f82]) ).
fof(f56,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c11 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_53) ).
fof(f227,plain,
( spl6_18
| spl6_1 ),
inference(avatar_split_clause,[],[f25,f73,f156]) ).
fof(f25,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c10 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f226,plain,
( spl6_3
| spl6_19 ),
inference(avatar_split_clause,[],[f54,f169,f82]) ).
fof(f54,axiom,
( sk_c11 = multiply(sk_c6,sk_c10)
| sk_c11 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
fof(f225,plain,
( spl6_12
| spl6_5 ),
inference(avatar_split_clause,[],[f20,f91,f123]) ).
fof(f20,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c8 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f223,plain,
( spl6_17
| spl6_9 ),
inference(avatar_split_clause,[],[f12,f110,f148]) ).
fof(f12,axiom,
( sk_c10 = multiply(sk_c8,sk_c9)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f222,plain,
( spl6_15
| spl6_23 ),
inference(avatar_split_clause,[],[f60,f199,f139]) ).
fof(f199,plain,
( spl6_23
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_23])]) ).
fof(f60,plain,
! [X3] :
( sP0
| sk_c11 != inverse(X3)
| sk_c10 != multiply(X3,sk_c11) ),
inference(cnf_transformation,[],[f60_D]) ).
fof(f60_D,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| sk_c10 != multiply(X3,sk_c11) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f221,plain,
( spl6_5
| spl6_4 ),
inference(avatar_split_clause,[],[f13,f86,f91]) ).
fof(f13,axiom,
( sk_c10 = multiply(sk_c4,sk_c11)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f220,plain,
( spl6_2
| spl6_10 ),
inference(avatar_split_clause,[],[f41,f114,f77]) ).
fof(f41,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c11 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f219,plain,
( spl6_11
| spl6_18 ),
inference(avatar_split_clause,[],[f34,f156,f119]) ).
fof(f34,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f218,plain,
( spl6_18
| spl6_17 ),
inference(avatar_split_clause,[],[f7,f148,f156]) ).
fof(f7,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c10 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f217,plain,
( spl6_18
| spl6_3 ),
inference(avatar_split_clause,[],[f52,f82,f156]) ).
fof(f52,axiom,
( sk_c11 = multiply(sk_c3,sk_c9)
| sk_c10 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f216,plain,
( spl6_4
| spl6_17 ),
inference(avatar_split_clause,[],[f4,f148,f86]) ).
fof(f4,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c10 = multiply(sk_c4,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f214,plain,
( spl6_25
| spl6_26 ),
inference(avatar_split_clause,[],[f62,f212,f206]) ).
fof(f206,plain,
( spl6_25
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_25])]) ).
fof(f62,plain,
! [X8] :
( sk_c11 != inverse(X8)
| sP1
| sk_c11 != multiply(X8,sk_c10) ),
inference(cnf_transformation,[],[f62_D]) ).
fof(f62_D,plain,
( ! [X8] :
( sk_c11 != inverse(X8)
| sk_c11 != multiply(X8,sk_c10) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f210,plain,
( spl6_11
| spl6_9 ),
inference(avatar_split_clause,[],[f39,f110,f119]) ).
fof(f39,axiom,
( sk_c10 = multiply(sk_c8,sk_c9)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f209,plain,
( ~ spl6_7
| ~ spl6_23
| ~ spl6_22
| ~ spl6_16
| spl6_24
| ~ spl6_20
| ~ spl6_25 ),
inference(avatar_split_clause,[],[f71,f206,f182,f203,f142,f191,f199,f101]) ).
fof(f101,plain,
( spl6_7
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f191,plain,
( spl6_22
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_22])]) ).
fof(f142,plain,
( spl6_16
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_16])]) ).
fof(f182,plain,
( spl6_20
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_20])]) ).
fof(f71,plain,
! [X5] :
( ~ sP1
| ~ sP3
| sk_c11 != multiply(X5,sk_c9)
| sk_c11 != inverse(X5)
| ~ sP2
| ~ sP4
| ~ sP0
| ~ sP5 ),
inference(general_splitting,[],[f69,f70_D]) ).
fof(f70,plain,
! [X4] :
( sk_c10 != inverse(X4)
| sP5
| sk_c9 != multiply(X4,sk_c10) ),
inference(cnf_transformation,[],[f70_D]) ).
fof(f70_D,plain,
( ! [X4] :
( sk_c10 != inverse(X4)
| sk_c9 != multiply(X4,sk_c10) )
<=> ~ sP5 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).
fof(f69,plain,
! [X4,X5] :
( sk_c9 != multiply(X4,sk_c10)
| sk_c11 != inverse(X5)
| sk_c10 != inverse(X4)
| sk_c11 != multiply(X5,sk_c9)
| ~ sP0
| ~ sP1
| ~ sP2
| ~ sP3
| ~ sP4 ),
inference(general_splitting,[],[f67,f68_D]) ).
fof(f68,plain,
! [X7] :
( sk_c9 != multiply(X7,sk_c10)
| sP4
| sk_c10 != inverse(X7) ),
inference(cnf_transformation,[],[f68_D]) ).
fof(f68_D,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c10)
| sk_c10 != inverse(X7) )
<=> ~ sP4 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f67,plain,
! [X7,X4,X5] :
( sk_c9 != multiply(X4,sk_c10)
| sk_c11 != inverse(X5)
| sk_c9 != multiply(X7,sk_c10)
| sk_c10 != inverse(X4)
| sk_c11 != multiply(X5,sk_c9)
| sk_c10 != inverse(X7)
| ~ sP0
| ~ sP1
| ~ sP2
| ~ sP3 ),
inference(general_splitting,[],[f65,f66_D]) ).
fof(f66,plain,
! [X9] :
( sk_c10 != multiply(X9,inverse(X9))
| sk_c10 != multiply(inverse(X9),sk_c9)
| sP3 ),
inference(cnf_transformation,[],[f66_D]) ).
fof(f66_D,plain,
( ! [X9] :
( sk_c10 != multiply(X9,inverse(X9))
| sk_c10 != multiply(inverse(X9),sk_c9) )
<=> ~ sP3 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f65,plain,
! [X9,X7,X4,X5] :
( sk_c10 != multiply(inverse(X9),sk_c9)
| sk_c9 != multiply(X4,sk_c10)
| sk_c11 != inverse(X5)
| sk_c10 != multiply(X9,inverse(X9))
| sk_c9 != multiply(X7,sk_c10)
| sk_c10 != inverse(X4)
| sk_c11 != multiply(X5,sk_c9)
| sk_c10 != inverse(X7)
| ~ sP0
| ~ sP1
| ~ sP2 ),
inference(general_splitting,[],[f63,f64_D]) ).
fof(f64,plain,
! [X6] :
( sP2
| sk_c10 != multiply(X6,sk_c11)
| sk_c11 != inverse(X6) ),
inference(cnf_transformation,[],[f64_D]) ).
fof(f64_D,plain,
( ! [X6] :
( sk_c10 != multiply(X6,sk_c11)
| sk_c11 != inverse(X6) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f63,plain,
! [X6,X9,X7,X4,X5] :
( sk_c10 != multiply(inverse(X9),sk_c9)
| sk_c11 != inverse(X6)
| sk_c9 != multiply(X4,sk_c10)
| sk_c11 != inverse(X5)
| sk_c10 != multiply(X9,inverse(X9))
| sk_c9 != multiply(X7,sk_c10)
| sk_c10 != inverse(X4)
| sk_c11 != multiply(X5,sk_c9)
| sk_c10 != inverse(X7)
| sk_c10 != multiply(X6,sk_c11)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f61,f62_D]) ).
fof(f61,plain,
! [X8,X6,X9,X7,X4,X5] :
( sk_c10 != multiply(inverse(X9),sk_c9)
| sk_c11 != inverse(X6)
| sk_c9 != multiply(X4,sk_c10)
| sk_c11 != inverse(X5)
| sk_c10 != multiply(X9,inverse(X9))
| sk_c11 != multiply(X8,sk_c10)
| sk_c9 != multiply(X7,sk_c10)
| sk_c10 != inverse(X4)
| sk_c11 != inverse(X8)
| sk_c11 != multiply(X5,sk_c9)
| sk_c10 != inverse(X7)
| sk_c10 != multiply(X6,sk_c11)
| ~ sP0 ),
inference(general_splitting,[],[f59,f60_D]) ).
fof(f59,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c10 != multiply(inverse(X9),sk_c9)
| sk_c11 != inverse(X6)
| sk_c9 != multiply(X4,sk_c10)
| sk_c11 != inverse(X5)
| sk_c10 != multiply(X9,inverse(X9))
| sk_c10 != multiply(X3,sk_c11)
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != inverse(X3)
| sk_c9 != multiply(X7,sk_c10)
| sk_c10 != inverse(X4)
| sk_c11 != inverse(X8)
| sk_c11 != multiply(X5,sk_c9)
| sk_c10 != inverse(X7)
| sk_c10 != multiply(X6,sk_c11) ),
inference(equality_resolution,[],[f58]) ).
fof(f58,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c10 != multiply(X10,sk_c9)
| sk_c11 != inverse(X6)
| sk_c9 != multiply(X4,sk_c10)
| sk_c11 != inverse(X5)
| sk_c10 != multiply(X9,X10)
| sk_c10 != multiply(X3,sk_c11)
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != inverse(X3)
| sk_c9 != multiply(X7,sk_c10)
| inverse(X9) != X10
| sk_c10 != inverse(X4)
| sk_c11 != inverse(X8)
| sk_c11 != multiply(X5,sk_c9)
| sk_c10 != inverse(X7)
| sk_c10 != multiply(X6,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_55) ).
fof(f195,plain,
( spl6_17
| spl6_6 ),
inference(avatar_split_clause,[],[f10,f96,f148]) ).
fof(f10,axiom,
( sk_c10 = multiply(sk_c7,sk_c8)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f194,plain,
( spl6_22
| spl6_8 ),
inference(avatar_split_clause,[],[f68,f105,f191]) ).
fof(f189,plain,
( spl6_6
| spl6_10 ),
inference(avatar_split_clause,[],[f46,f114,f96]) ).
fof(f46,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c10 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f188,plain,
( spl6_20
| spl6_21 ),
inference(avatar_split_clause,[],[f66,f186,f182]) ).
fof(f180,plain,
( spl6_3
| spl6_2 ),
inference(avatar_split_clause,[],[f50,f77,f82]) ).
fof(f50,axiom,
( sk_c11 = inverse(sk_c4)
| sk_c11 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
fof(f179,plain,
( spl6_19
| spl6_17 ),
inference(avatar_split_clause,[],[f9,f148,f169]) ).
fof(f9,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c11 = multiply(sk_c6,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f178,plain,
( spl6_5
| spl6_13 ),
inference(avatar_split_clause,[],[f15,f129,f91]) ).
fof(f15,axiom,
( multiply(sk_c5,sk_c10) = sk_c9
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f177,plain,
( spl6_6
| spl6_11 ),
inference(avatar_split_clause,[],[f37,f119,f96]) ).
fof(f37,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c10 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f175,plain,
( spl6_3
| spl6_14 ),
inference(avatar_split_clause,[],[f53,f134,f82]) ).
fof(f53,axiom,
( sk_c11 = inverse(sk_c6)
| sk_c11 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).
fof(f174,plain,
( spl6_10
| spl6_19 ),
inference(avatar_split_clause,[],[f45,f169,f114]) ).
fof(f45,axiom,
( sk_c11 = multiply(sk_c6,sk_c10)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f173,plain,
( spl6_17
| spl6_13 ),
inference(avatar_split_clause,[],[f6,f129,f148]) ).
fof(f6,axiom,
( multiply(sk_c5,sk_c10) = sk_c9
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f172,plain,
( spl6_5
| spl6_19 ),
inference(avatar_split_clause,[],[f18,f169,f91]) ).
fof(f18,axiom,
( sk_c11 = multiply(sk_c6,sk_c10)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f166,plain,
( spl6_1
| spl6_13 ),
inference(avatar_split_clause,[],[f24,f129,f73]) ).
fof(f24,axiom,
( multiply(sk_c5,sk_c10) = sk_c9
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f165,plain,
( spl6_6
| spl6_3 ),
inference(avatar_split_clause,[],[f55,f82,f96]) ).
fof(f55,axiom,
( sk_c11 = multiply(sk_c3,sk_c9)
| sk_c10 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_52) ).
fof(f164,plain,
( spl6_13
| spl6_11 ),
inference(avatar_split_clause,[],[f33,f119,f129]) ).
fof(f33,axiom,
( sk_c10 = inverse(sk_c2)
| multiply(sk_c5,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f163,plain,
( spl6_18
| spl6_10 ),
inference(avatar_split_clause,[],[f43,f114,f156]) ).
fof(f43,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c10 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f162,plain,
( spl6_12
| spl6_17 ),
inference(avatar_split_clause,[],[f11,f148,f123]) ).
fof(f11,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c8 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f160,plain,
( spl6_10
| spl6_12 ),
inference(avatar_split_clause,[],[f47,f123,f114]) ).
fof(f47,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
fof(f159,plain,
( spl6_18
| spl6_5 ),
inference(avatar_split_clause,[],[f16,f91,f156]) ).
fof(f16,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c10 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f153,plain,
( spl6_12
| spl6_1 ),
inference(avatar_split_clause,[],[f29,f73,f123]) ).
fof(f29,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c8 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f152,plain,
( spl6_13
| spl6_10 ),
inference(avatar_split_clause,[],[f42,f114,f129]) ).
fof(f42,axiom,
( sk_c11 = inverse(sk_c3)
| multiply(sk_c5,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f151,plain,
( spl6_14
| spl6_17 ),
inference(avatar_split_clause,[],[f8,f148,f134]) ).
fof(f8,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c11 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f146,plain,
( spl6_1
| spl6_9 ),
inference(avatar_split_clause,[],[f30,f110,f73]) ).
fof(f30,axiom,
( sk_c10 = multiply(sk_c8,sk_c9)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f145,plain,
( spl6_15
| spl6_16 ),
inference(avatar_split_clause,[],[f64,f142,f139]) ).
fof(f137,plain,
( spl6_5
| spl6_14 ),
inference(avatar_split_clause,[],[f17,f134,f91]) ).
fof(f17,axiom,
( sk_c11 = inverse(sk_c6)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f132,plain,
( spl6_3
| spl6_13 ),
inference(avatar_split_clause,[],[f51,f129,f82]) ).
fof(f51,axiom,
( multiply(sk_c5,sk_c10) = sk_c9
| sk_c11 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
fof(f127,plain,
( spl6_5
| spl6_9 ),
inference(avatar_split_clause,[],[f21,f110,f91]) ).
fof(f21,axiom,
( sk_c10 = multiply(sk_c8,sk_c9)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f126,plain,
( spl6_11
| spl6_12 ),
inference(avatar_split_clause,[],[f38,f123,f119]) ).
fof(f38,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f108,plain,
( spl6_6
| spl6_1 ),
inference(avatar_split_clause,[],[f28,f73,f96]) ).
fof(f28,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c10 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f107,plain,
( spl6_7
| spl6_8 ),
inference(avatar_split_clause,[],[f70,f105,f101]) ).
fof(f99,plain,
( spl6_6
| spl6_5 ),
inference(avatar_split_clause,[],[f19,f91,f96]) ).
fof(f19,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c10 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f94,plain,
( spl6_2
| spl6_5 ),
inference(avatar_split_clause,[],[f14,f91,f77]) ).
fof(f14,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c11 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP246-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13 % 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 : n021.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 22:18:55 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.31/0.54 % (25946)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)
% 1.31/0.54 % (25969)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)
% 1.31/0.54 % (25943)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)
% 1.31/0.54 % (25947)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.31/0.54 % (25961)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.31/0.54 % (25949)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)
% 1.31/0.54 % (25954)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)
% 1.56/0.55 % (25970)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)
% 1.56/0.55 % (25968)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.56/0.55 % (25959)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)
% 1.56/0.55 % (25945)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)
% 1.56/0.55 % (25957)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)
% 1.56/0.56 % (25944)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)
% 1.56/0.56 % (25960)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.56/0.56 % (25966)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)
% 1.56/0.56 % (25962)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)
% 1.56/0.56 TRYING [1]
% 1.56/0.56 % (25958)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)
% 1.56/0.56 % (25953)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.56/0.56 TRYING [2]
% 1.56/0.56 TRYING [1]
% 1.56/0.56 % (25956)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.56/0.56 TRYING [2]
% 1.56/0.56 % (25952)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)
% 1.56/0.56 % (25951)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.56/0.56 % (25951)Instruction limit reached!
% 1.56/0.56 % (25951)------------------------------
% 1.56/0.56 % (25951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56 % (25951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56 % (25951)Termination reason: Unknown
% 1.56/0.56 % (25951)Termination phase: Saturation
% 1.56/0.56
% 1.56/0.56 % (25951)Memory used [KB]: 895
% 1.56/0.56 % (25951)Time elapsed: 0.002 s
% 1.56/0.56 % (25951)Instructions burned: 2 (million)
% 1.56/0.56 % (25951)------------------------------
% 1.56/0.56 % (25951)------------------------------
% 1.56/0.56 % (25967)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.56/0.56 % (25963)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)
% 1.56/0.56 % (25950)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.56/0.57 TRYING [1]
% 1.56/0.57 TRYING [2]
% 1.56/0.57 % (25955)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.56/0.57 % (25964)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.56/0.57 TRYING [3]
% 1.56/0.57 % (25971)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.56/0.58 % (25972)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)
% 1.56/0.58 TRYING [3]
% 1.56/0.58 % (25948)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)
% 1.56/0.58 % (25965)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)
% 1.56/0.58 TRYING [3]
% 1.56/0.59 % (25953)First to succeed.
% 1.56/0.59 % (25950)Instruction limit reached!
% 1.56/0.59 % (25950)------------------------------
% 1.56/0.59 % (25950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.59 % (25950)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.59 % (25950)Termination reason: Unknown
% 1.56/0.59 % (25950)Termination phase: Saturation
% 1.56/0.59
% 1.56/0.59 % (25950)Memory used [KB]: 5628
% 1.56/0.59 % (25950)Time elapsed: 0.140 s
% 1.56/0.59 % (25950)Instructions burned: 7 (million)
% 1.56/0.59 % (25950)------------------------------
% 1.56/0.59 % (25950)------------------------------
% 1.56/0.59 % (25953)Refutation found. Thanks to Tanya!
% 1.56/0.59 % SZS status Unsatisfiable for theBenchmark
% 1.56/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.60 % (25953)------------------------------
% 1.56/0.60 % (25953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.60 % (25953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.60 % (25953)Termination reason: Refutation
% 1.56/0.60
% 1.56/0.60 % (25953)Memory used [KB]: 5884
% 1.56/0.60 % (25953)Time elapsed: 0.178 s
% 1.56/0.60 % (25953)Instructions burned: 23 (million)
% 1.56/0.60 % (25953)------------------------------
% 1.56/0.60 % (25953)------------------------------
% 1.56/0.60 % (25942)Success in time 0.243 s
%------------------------------------------------------------------------------