TSTP Solution File: GRP308-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP308-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:21:14 EDT 2022
% Result : Unsatisfiable 1.45s 0.58s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 62
% Syntax : Number of formulae : 249 ( 9 unt; 0 def)
% Number of atoms : 1097 ( 303 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 1664 ( 816 ~; 826 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 23 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 67 ( 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f587,plain,
$false,
inference(avatar_sat_refutation,[],[f56,f61,f70,f79,f87,f88,f93,f102,f103,f108,f113,f114,f115,f116,f124,f132,f133,f134,f135,f136,f137,f138,f139,f140,f141,f142,f146,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f257,f274,f284,f297,f304,f311,f319,f500,f528,f549,f566,f586]) ).
fof(f586,plain,
( ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f585]) ).
fof(f585,plain,
( $false
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f584,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f584,plain,
( identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12
| ~ spl3_13 ),
inference(trivial_inequality_removal,[],[f583]) ).
fof(f583,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_9
| ~ spl3_12
| ~ spl3_13 ),
inference(superposition,[],[f581,f503]) ).
fof(f503,plain,
( identity = inverse(identity)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_12
| ~ spl3_13 ),
inference(forward_demodulation,[],[f453,f492]) ).
fof(f492,plain,
( identity = sk_c6
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_12
| ~ spl3_13 ),
inference(forward_demodulation,[],[f465,f1]) ).
fof(f465,plain,
( sk_c6 = multiply(identity,identity)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_12
| ~ spl3_13 ),
inference(backward_demodulation,[],[f443,f448]) ).
fof(f448,plain,
( identity = sk_c8
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_12
| ~ spl3_13 ),
inference(backward_demodulation,[],[f441,f447]) ).
fof(f447,plain,
( identity = multiply(sk_c6,sk_c8)
| ~ spl3_13 ),
inference(superposition,[],[f2,f107]) ).
fof(f107,plain,
( sk_c6 = inverse(sk_c8)
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl3_13
<=> sk_c6 = inverse(sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f441,plain,
( sk_c8 = multiply(sk_c6,sk_c8)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_12 ),
inference(forward_demodulation,[],[f65,f408]) ).
fof(f408,plain,
( sk_c8 = sk_c7
| ~ spl3_1
| ~ spl3_3
| ~ spl3_12 ),
inference(backward_demodulation,[],[f101,f407]) ).
fof(f407,plain,
( sk_c8 = multiply(sk_c8,sk_c2)
| ~ spl3_1
| ~ spl3_3 ),
inference(forward_demodulation,[],[f405,f51]) ).
fof(f51,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl3_1
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f405,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c2)
| ~ spl3_3 ),
inference(superposition,[],[f169,f60]) ).
fof(f60,plain,
( sk_c2 = multiply(sk_c1,sk_c8)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl3_3
<=> sk_c2 = multiply(sk_c1,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f169,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f165,f1]) ).
fof(f165,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f101,plain,
( sk_c7 = multiply(sk_c8,sk_c2)
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f99,plain,
( spl3_12
<=> sk_c7 = multiply(sk_c8,sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f65,plain,
( sk_c8 = multiply(sk_c6,sk_c7)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl3_4
<=> sk_c8 = multiply(sk_c6,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f443,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_6
| ~ spl3_12 ),
inference(forward_demodulation,[],[f74,f408]) ).
fof(f74,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f72,plain,
( spl3_6
<=> multiply(sk_c8,sk_c7) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f453,plain,
( sk_c6 = inverse(identity)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_12
| ~ spl3_13 ),
inference(backward_demodulation,[],[f107,f448]) ).
fof(f581,plain,
( ! [X4] :
( identity != inverse(X4)
| identity != multiply(identity,X4) )
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_9
| ~ spl3_12
| ~ spl3_13 ),
inference(backward_demodulation,[],[f569,f571]) ).
fof(f571,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f183,f182]) ).
fof(f182,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f169,f2]) ).
fof(f183,plain,
! [X6,X5] : multiply(X5,X6) = multiply(inverse(inverse(X5)),X6),
inference(superposition,[],[f169,f169]) ).
fof(f569,plain,
( ! [X4] :
( identity != multiply(identity,multiply(X4,identity))
| identity != inverse(X4) )
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_9
| ~ spl3_12
| ~ spl3_13 ),
inference(forward_demodulation,[],[f568,f458]) ).
fof(f458,plain,
( identity = sk_c7
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_12
| ~ spl3_13 ),
inference(backward_demodulation,[],[f408,f448]) ).
fof(f568,plain,
( ! [X4] :
( sk_c7 != multiply(identity,multiply(X4,identity))
| identity != inverse(X4) )
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_9
| ~ spl3_12
| ~ spl3_13 ),
inference(forward_demodulation,[],[f567,f448]) ).
fof(f567,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c7 != multiply(identity,multiply(X4,identity)) )
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_9
| ~ spl3_12
| ~ spl3_13 ),
inference(forward_demodulation,[],[f86,f448]) ).
fof(f86,plain,
( ! [X4] :
( sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != inverse(X4) )
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f85,plain,
( spl3_9
<=> ! [X4] :
( sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f566,plain,
( ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f565]) ).
fof(f565,plain,
( $false
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f564,f1]) ).
fof(f564,plain,
( identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16 ),
inference(trivial_inequality_removal,[],[f563]) ).
fof(f563,plain,
( identity != multiply(identity,identity)
| identity != identity
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16 ),
inference(superposition,[],[f552,f503]) ).
fof(f552,plain,
( ! [X6] :
( identity != inverse(X6)
| identity != multiply(X6,identity) )
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16 ),
inference(forward_demodulation,[],[f551,f492]) ).
fof(f551,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c6 != multiply(X6,identity) )
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16 ),
inference(forward_demodulation,[],[f550,f458]) ).
fof(f550,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c7)
| identity != inverse(X6) )
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16 ),
inference(forward_demodulation,[],[f123,f458]) ).
fof(f123,plain,
( ! [X6] :
( sk_c7 != inverse(X6)
| sk_c6 != multiply(X6,sk_c7) )
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f122,plain,
( spl3_16
<=> ! [X6] :
( sk_c7 != inverse(X6)
| sk_c6 != multiply(X6,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f549,plain,
( ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f548]) ).
fof(f548,plain,
( $false
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f547,f1]) ).
fof(f547,plain,
( identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f546]) ).
fof(f546,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(superposition,[],[f531,f503]) ).
fof(f531,plain,
( ! [X7] :
( identity != inverse(X7)
| identity != multiply(X7,identity) )
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(forward_demodulation,[],[f530,f492]) ).
fof(f530,plain,
( ! [X7] :
( sk_c6 != inverse(X7)
| identity != multiply(X7,identity) )
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(forward_demodulation,[],[f529,f492]) ).
fof(f529,plain,
( ! [X7] :
( sk_c6 != multiply(X7,identity)
| sk_c6 != inverse(X7) )
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(forward_demodulation,[],[f145,f448]) ).
fof(f145,plain,
( ! [X7] :
( sk_c6 != multiply(X7,sk_c8)
| sk_c6 != inverse(X7) )
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f144,plain,
( spl3_19
<=> ! [X7] :
( sk_c6 != multiply(X7,sk_c8)
| sk_c6 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f528,plain,
( ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_12
| ~ spl3_13
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f527]) ).
fof(f527,plain,
( $false
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_12
| ~ spl3_13
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f526,f1]) ).
fof(f526,plain,
( identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_12
| ~ spl3_13
| ~ spl3_18 ),
inference(trivial_inequality_removal,[],[f524]) ).
fof(f524,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_12
| ~ spl3_13
| ~ spl3_18 ),
inference(superposition,[],[f470,f503]) ).
fof(f470,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != multiply(X5,identity) )
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_12
| ~ spl3_13
| ~ spl3_18 ),
inference(forward_demodulation,[],[f460,f448]) ).
fof(f460,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c8 != multiply(X5,sk_c8) )
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_12
| ~ spl3_13
| ~ spl3_18 ),
inference(backward_demodulation,[],[f411,f448]) ).
fof(f411,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c8 != multiply(X5,sk_c8) )
| ~ spl3_1
| ~ spl3_3
| ~ spl3_12
| ~ spl3_18 ),
inference(backward_demodulation,[],[f131,f408]) ).
fof(f131,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(X5,sk_c8) )
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f130,plain,
( spl3_18
<=> ! [X5] :
( sk_c7 != multiply(X5,sk_c8)
| sk_c8 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f500,plain,
( ~ spl3_1
| spl3_2
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f499]) ).
fof(f499,plain,
( $false
| ~ spl3_1
| spl3_2
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f497,f1]) ).
fof(f497,plain,
( identity != multiply(identity,identity)
| ~ spl3_1
| spl3_2
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12
| ~ spl3_13 ),
inference(backward_demodulation,[],[f494,f496]) ).
fof(f496,plain,
( identity = sk_c5
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12
| ~ spl3_13 ),
inference(forward_demodulation,[],[f495,f2]) ).
fof(f495,plain,
( sk_c5 = multiply(inverse(identity),identity)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12
| ~ spl3_13 ),
inference(forward_demodulation,[],[f186,f492]) ).
fof(f186,plain,
( sk_c5 = multiply(inverse(sk_c6),identity)
| ~ spl3_11 ),
inference(superposition,[],[f169,f162]) ).
fof(f162,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl3_11 ),
inference(superposition,[],[f2,f97]) ).
fof(f97,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl3_11
<=> sk_c6 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f494,plain,
( identity != multiply(sk_c5,identity)
| ~ spl3_1
| spl3_2
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_12
| ~ spl3_13 ),
inference(forward_demodulation,[],[f450,f492]) ).
fof(f450,plain,
( sk_c6 != multiply(sk_c5,identity)
| ~ spl3_1
| spl3_2
| ~ spl3_3
| ~ spl3_4
| ~ spl3_12
| ~ spl3_13 ),
inference(backward_demodulation,[],[f54,f448]) ).
fof(f54,plain,
( sk_c6 != multiply(sk_c5,sk_c8)
| spl3_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f53,plain,
( spl3_2
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f319,plain,
( ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f318]) ).
fof(f318,plain,
( $false
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f317,f1]) ).
fof(f317,plain,
( identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f316,f1]) ).
fof(f316,plain,
( identity != multiply(identity,multiply(identity,identity))
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14 ),
inference(trivial_inequality_removal,[],[f315]) ).
fof(f315,plain,
( identity != identity
| identity != multiply(identity,multiply(identity,identity))
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14 ),
inference(superposition,[],[f314,f244]) ).
fof(f244,plain,
( identity = inverse(identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f234,f241]) ).
fof(f241,plain,
( identity = sk_c4
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f237,f2]) ).
fof(f237,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14 ),
inference(backward_demodulation,[],[f185,f233]) ).
fof(f233,plain,
( identity = sk_c7
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f232,f1]) ).
fof(f232,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f218,f226]) ).
fof(f226,plain,
( identity = sk_c3
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11 ),
inference(forward_demodulation,[],[f222,f2]) ).
fof(f222,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11 ),
inference(backward_demodulation,[],[f184,f216]) ).
fof(f216,plain,
( identity = sk_c8
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f214,f1]) ).
fof(f214,plain,
( sk_c8 = multiply(identity,identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11 ),
inference(backward_demodulation,[],[f194,f203]) ).
fof(f203,plain,
( identity = sk_c6
| ~ spl3_5
| ~ spl3_7 ),
inference(forward_demodulation,[],[f201,f2]) ).
fof(f201,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl3_5
| ~ spl3_7 ),
inference(superposition,[],[f169,f192]) ).
fof(f192,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl3_5
| ~ spl3_7 ),
inference(forward_demodulation,[],[f188,f78]) ).
fof(f78,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl3_7
<=> sk_c7 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f188,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c6)
| ~ spl3_5 ),
inference(superposition,[],[f169,f69]) ).
fof(f69,plain,
( sk_c6 = multiply(sk_c4,sk_c7)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl3_5
<=> sk_c6 = multiply(sk_c4,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f194,plain,
( sk_c8 = multiply(sk_c6,sk_c6)
| ~ spl3_2
| ~ spl3_11 ),
inference(forward_demodulation,[],[f189,f97]) ).
fof(f189,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c6)
| ~ spl3_2 ),
inference(superposition,[],[f169,f55]) ).
fof(f55,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f184,plain,
( sk_c3 = multiply(inverse(sk_c8),identity)
| ~ spl3_10 ),
inference(superposition,[],[f169,f161]) ).
fof(f161,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl3_10 ),
inference(superposition,[],[f2,f92]) ).
fof(f92,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f90,plain,
( spl3_10
<=> sk_c8 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f218,plain,
( sk_c7 = multiply(sk_c3,identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_14 ),
inference(backward_demodulation,[],[f112,f216]) ).
fof(f112,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl3_14
<=> sk_c7 = multiply(sk_c3,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f185,plain,
( sk_c4 = multiply(inverse(sk_c7),identity)
| ~ spl3_7 ),
inference(superposition,[],[f169,f160]) ).
fof(f160,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl3_7 ),
inference(superposition,[],[f2,f78]) ).
fof(f234,plain,
( identity = inverse(sk_c4)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14 ),
inference(backward_demodulation,[],[f78,f233]) ).
fof(f314,plain,
( ! [X4] :
( identity != inverse(X4)
| identity != multiply(identity,multiply(X4,identity)) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f313,f233]) ).
fof(f313,plain,
( ! [X4] :
( sk_c7 != multiply(identity,multiply(X4,identity))
| identity != inverse(X4) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9
| ~ spl3_11 ),
inference(forward_demodulation,[],[f312,f216]) ).
fof(f312,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8)) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9
| ~ spl3_11 ),
inference(forward_demodulation,[],[f86,f216]) ).
fof(f311,plain,
( ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f310]) ).
fof(f310,plain,
( $false
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f309,f1]) ).
fof(f309,plain,
( identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f308]) ).
fof(f308,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14
| ~ spl3_19 ),
inference(superposition,[],[f307,f244]) ).
fof(f307,plain,
( ! [X7] :
( identity != inverse(X7)
| identity != multiply(X7,identity) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f306,f203]) ).
fof(f306,plain,
( ! [X7] :
( sk_c6 != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f305,f203]) ).
fof(f305,plain,
( ! [X7] :
( sk_c6 != inverse(X7)
| sk_c6 != multiply(X7,identity) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f145,f216]) ).
fof(f304,plain,
( ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f303]) ).
fof(f303,plain,
( $false
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f302,f1]) ).
fof(f302,plain,
( identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14
| ~ spl3_16 ),
inference(trivial_inequality_removal,[],[f301]) ).
fof(f301,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14
| ~ spl3_16 ),
inference(superposition,[],[f300,f244]) ).
fof(f300,plain,
( ! [X6] :
( identity != inverse(X6)
| identity != multiply(X6,identity) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14
| ~ spl3_16 ),
inference(forward_demodulation,[],[f299,f233]) ).
fof(f299,plain,
( ! [X6] :
( sk_c7 != inverse(X6)
| identity != multiply(X6,identity) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14
| ~ spl3_16 ),
inference(forward_demodulation,[],[f298,f203]) ).
fof(f298,plain,
( ! [X6] :
( sk_c6 != multiply(X6,identity)
| sk_c7 != inverse(X6) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14
| ~ spl3_16 ),
inference(forward_demodulation,[],[f123,f233]) ).
fof(f297,plain,
( ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f296]) ).
fof(f296,plain,
( $false
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f295,f1]) ).
fof(f295,plain,
( identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14
| ~ spl3_18 ),
inference(trivial_inequality_removal,[],[f294]) ).
fof(f294,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14
| ~ spl3_18 ),
inference(superposition,[],[f290,f244]) ).
fof(f290,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != multiply(X5,identity) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14
| ~ spl3_18 ),
inference(forward_demodulation,[],[f289,f233]) ).
fof(f289,plain,
( ! [X5] :
( sk_c7 != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f288,f216]) ).
fof(f288,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(X5,identity) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f131,f216]) ).
fof(f284,plain,
( ~ spl3_2
| ~ spl3_5
| spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f283]) ).
fof(f283,plain,
( $false
| ~ spl3_2
| ~ spl3_5
| spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f282,f1]) ).
fof(f282,plain,
( identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_5
| spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f281,f216]) ).
fof(f281,plain,
( identity != multiply(sk_c8,identity)
| ~ spl3_2
| ~ spl3_5
| spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f280,f233]) ).
fof(f280,plain,
( identity != multiply(sk_c8,sk_c7)
| ~ spl3_5
| spl3_6
| ~ spl3_7 ),
inference(forward_demodulation,[],[f73,f203]) ).
fof(f73,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| spl3_6 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f274,plain,
( ~ spl3_2
| spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f273]) ).
fof(f273,plain,
( $false
| ~ spl3_2
| spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f272,f216]) ).
fof(f272,plain,
( identity != sk_c8
| ~ spl3_2
| spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f271,f1]) ).
fof(f271,plain,
( sk_c8 != multiply(identity,identity)
| ~ spl3_2
| spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f270,f203]) ).
fof(f270,plain,
( sk_c8 != multiply(sk_c6,identity)
| ~ spl3_2
| spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f64,f233]) ).
fof(f64,plain,
( sk_c8 != multiply(sk_c6,sk_c7)
| spl3_4 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f257,plain,
( ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| spl3_13
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f256]) ).
fof(f256,plain,
( $false
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11
| spl3_13
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f255,f244]) ).
fof(f255,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| spl3_13 ),
inference(forward_demodulation,[],[f207,f216]) ).
fof(f207,plain,
( identity != inverse(sk_c8)
| ~ spl3_5
| ~ spl3_7
| spl3_13 ),
inference(backward_demodulation,[],[f106,f203]) ).
fof(f106,plain,
( sk_c6 != inverse(sk_c8)
| spl3_13 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f159,plain,
( spl3_14
| spl3_6 ),
inference(avatar_split_clause,[],[f4,f72,f110]) ).
fof(f4,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f158,plain,
( spl3_3
| spl3_10 ),
inference(avatar_split_clause,[],[f29,f90,f58]) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c2 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f157,plain,
( spl3_10
| spl3_13 ),
inference(avatar_split_clause,[],[f11,f105,f90]) ).
fof(f11,axiom,
( sk_c6 = inverse(sk_c8)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f156,plain,
( spl3_13
| spl3_2 ),
inference(avatar_split_clause,[],[f15,f53,f105]) ).
fof(f15,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c6 = inverse(sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f155,plain,
( spl3_11
| spl3_13 ),
inference(avatar_split_clause,[],[f14,f105,f95]) ).
fof(f14,axiom,
( sk_c6 = inverse(sk_c8)
| sk_c6 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f154,plain,
( spl3_4
| spl3_7 ),
inference(avatar_split_clause,[],[f19,f76,f63]) ).
fof(f19,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c8 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f153,plain,
( spl3_4
| spl3_11 ),
inference(avatar_split_clause,[],[f20,f95,f63]) ).
fof(f20,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c8 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f152,plain,
( spl3_3
| spl3_11 ),
inference(avatar_split_clause,[],[f32,f95,f58]) ).
fof(f32,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c2 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f151,plain,
( spl3_5
| spl3_12 ),
inference(avatar_split_clause,[],[f24,f99,f67]) ).
fof(f24,axiom,
( sk_c7 = multiply(sk_c8,sk_c2)
| sk_c6 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f150,plain,
( spl3_6
| spl3_2 ),
inference(avatar_split_clause,[],[f9,f53,f72]) ).
fof(f9,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f149,plain,
( spl3_13
| spl3_5 ),
inference(avatar_split_clause,[],[f12,f67,f105]) ).
fof(f12,axiom,
( sk_c6 = multiply(sk_c4,sk_c7)
| sk_c6 = inverse(sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f148,plain,
( spl3_2
| spl3_12 ),
inference(avatar_split_clause,[],[f27,f99,f53]) ).
fof(f27,axiom,
( sk_c7 = multiply(sk_c8,sk_c2)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f147,plain,
( spl3_3
| spl3_14 ),
inference(avatar_split_clause,[],[f28,f110,f58]) ).
fof(f28,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c2 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f146,plain,
( spl3_17
| spl3_19 ),
inference(avatar_split_clause,[],[f44,f144,f126]) ).
fof(f126,plain,
( spl3_17
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f44,plain,
! [X7] :
( sk_c6 != multiply(X7,sk_c8)
| sk_c6 != inverse(X7)
| sP1 ),
inference(cnf_transformation,[],[f44_D]) ).
fof(f44_D,plain,
( ! [X7] :
( sk_c6 != multiply(X7,sk_c8)
| sk_c6 != inverse(X7) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f142,plain,
( spl3_7
| spl3_3 ),
inference(avatar_split_clause,[],[f31,f58,f76]) ).
fof(f31,axiom,
( sk_c2 = multiply(sk_c1,sk_c8)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f141,plain,
( spl3_11
| spl3_6 ),
inference(avatar_split_clause,[],[f8,f72,f95]) ).
fof(f8,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c6 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f140,plain,
( spl3_1
| spl3_11 ),
inference(avatar_split_clause,[],[f38,f95,f49]) ).
fof(f38,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f139,plain,
( spl3_4
| spl3_14 ),
inference(avatar_split_clause,[],[f16,f110,f63]) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c8 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f138,plain,
( spl3_7
| spl3_12 ),
inference(avatar_split_clause,[],[f25,f99,f76]) ).
fof(f25,axiom,
( sk_c7 = multiply(sk_c8,sk_c2)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f137,plain,
( spl3_14
| spl3_12 ),
inference(avatar_split_clause,[],[f22,f99,f110]) ).
fof(f22,axiom,
( sk_c7 = multiply(sk_c8,sk_c2)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f136,plain,
( spl3_5
| spl3_1 ),
inference(avatar_split_clause,[],[f36,f49,f67]) ).
fof(f36,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c6 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f135,plain,
( spl3_1
| spl3_14 ),
inference(avatar_split_clause,[],[f34,f110,f49]) ).
fof(f34,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f134,plain,
( spl3_4
| spl3_2 ),
inference(avatar_split_clause,[],[f21,f53,f63]) ).
fof(f21,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f133,plain,
( spl3_5
| spl3_6 ),
inference(avatar_split_clause,[],[f6,f72,f67]) ).
fof(f6,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c6 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f132,plain,
( ~ spl3_6
| ~ spl3_15
| ~ spl3_13
| ~ spl3_8
| ~ spl3_17
| ~ spl3_4
| spl3_18 ),
inference(avatar_split_clause,[],[f47,f130,f63,f126,f81,f105,f118,f72]) ).
fof(f118,plain,
( spl3_15
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f81,plain,
( spl3_8
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f47,plain,
! [X5] :
( sk_c7 != multiply(X5,sk_c8)
| sk_c8 != multiply(sk_c6,sk_c7)
| ~ sP1
| ~ sP2
| sk_c6 != inverse(sk_c8)
| ~ sP0
| sk_c8 != inverse(X5)
| multiply(sk_c8,sk_c7) != sk_c6 ),
inference(general_splitting,[],[f45,f46_D]) ).
fof(f46,plain,
! [X4] :
( sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != inverse(X4)
| sP2 ),
inference(cnf_transformation,[],[f46_D]) ).
fof(f46_D,plain,
( ! [X4] :
( sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != inverse(X4) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f45,plain,
! [X4,X5] :
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c8 != inverse(X4)
| sk_c8 != multiply(sk_c6,sk_c7)
| sk_c8 != inverse(X5)
| sk_c6 != inverse(sk_c8)
| sk_c7 != multiply(X5,sk_c8)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f43,f44_D]) ).
fof(f43,plain,
! [X7,X4,X5] :
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c8 != inverse(X4)
| sk_c8 != multiply(sk_c6,sk_c7)
| sk_c8 != inverse(X5)
| sk_c6 != multiply(X7,sk_c8)
| sk_c6 != inverse(X7)
| sk_c6 != inverse(sk_c8)
| sk_c7 != multiply(X5,sk_c8)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| ~ sP0 ),
inference(general_splitting,[],[f41,f42_D]) ).
fof(f42,plain,
! [X6] :
( sk_c7 != inverse(X6)
| sk_c6 != multiply(X6,sk_c7)
| sP0 ),
inference(cnf_transformation,[],[f42_D]) ).
fof(f42_D,plain,
( ! [X6] :
( sk_c7 != inverse(X6)
| sk_c6 != multiply(X6,sk_c7) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f41,plain,
! [X6,X7,X4,X5] :
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c8 != inverse(X4)
| sk_c6 != multiply(X6,sk_c7)
| sk_c8 != multiply(sk_c6,sk_c7)
| sk_c7 != inverse(X6)
| sk_c8 != inverse(X5)
| sk_c6 != multiply(X7,sk_c8)
| sk_c6 != inverse(X7)
| sk_c6 != inverse(sk_c8)
| sk_c7 != multiply(X5,sk_c8)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8)) ),
inference(equality_resolution,[],[f40]) ).
fof(f40,axiom,
! [X3,X6,X7,X4,X5] :
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c8 != inverse(X4)
| sk_c6 != multiply(X6,sk_c7)
| sk_c8 != multiply(sk_c6,sk_c7)
| sk_c7 != inverse(X6)
| sk_c8 != inverse(X5)
| sk_c6 != multiply(X7,sk_c8)
| multiply(X4,sk_c8) != X3
| sk_c6 != inverse(X7)
| sk_c6 != inverse(sk_c8)
| sk_c7 != multiply(X5,sk_c8)
| sk_c7 != multiply(sk_c8,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f124,plain,
( spl3_15
| spl3_16 ),
inference(avatar_split_clause,[],[f42,f122,f118]) ).
fof(f116,plain,
( spl3_4
| spl3_10 ),
inference(avatar_split_clause,[],[f17,f90,f63]) ).
fof(f17,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f115,plain,
( spl3_10
| spl3_6 ),
inference(avatar_split_clause,[],[f5,f72,f90]) ).
fof(f5,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f114,plain,
( spl3_1
| spl3_7 ),
inference(avatar_split_clause,[],[f37,f76,f49]) ).
fof(f37,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f113,plain,
( spl3_14
| spl3_13 ),
inference(avatar_split_clause,[],[f10,f105,f110]) ).
fof(f10,axiom,
( sk_c6 = inverse(sk_c8)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f108,plain,
( spl3_7
| spl3_13 ),
inference(avatar_split_clause,[],[f13,f105,f76]) ).
fof(f13,axiom,
( sk_c6 = inverse(sk_c8)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f103,plain,
( spl3_12
| spl3_10 ),
inference(avatar_split_clause,[],[f23,f90,f99]) ).
fof(f23,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c7 = multiply(sk_c8,sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f102,plain,
( spl3_11
| spl3_12 ),
inference(avatar_split_clause,[],[f26,f99,f95]) ).
fof(f26,axiom,
( sk_c7 = multiply(sk_c8,sk_c2)
| sk_c6 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f93,plain,
( spl3_10
| spl3_1 ),
inference(avatar_split_clause,[],[f35,f49,f90]) ).
fof(f35,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f88,plain,
( spl3_5
| spl3_3 ),
inference(avatar_split_clause,[],[f30,f58,f67]) ).
fof(f30,axiom,
( sk_c2 = multiply(sk_c1,sk_c8)
| sk_c6 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f87,plain,
( spl3_8
| spl3_9 ),
inference(avatar_split_clause,[],[f46,f85,f81]) ).
fof(f79,plain,
( spl3_6
| spl3_7 ),
inference(avatar_split_clause,[],[f7,f76,f72]) ).
fof(f7,axiom,
( sk_c7 = inverse(sk_c4)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f70,plain,
( spl3_4
| spl3_5 ),
inference(avatar_split_clause,[],[f18,f67,f63]) ).
fof(f18,axiom,
( sk_c6 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f61,plain,
( spl3_2
| spl3_3 ),
inference(avatar_split_clause,[],[f33,f58,f53]) ).
fof(f33,axiom,
( sk_c2 = multiply(sk_c1,sk_c8)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f56,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f39,f53,f49]) ).
fof(f39,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP308-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 22:45:20 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.50 % (11149)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (11170)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.51 % (11162)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.51 % (11164)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)
% 0.20/0.52 TRYING [1]
% 0.20/0.53 % (11150)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 % (11156)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)
% 0.20/0.53 % (11154)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)
% 0.20/0.53 % (11174)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53 % (11173)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)
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (11147)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)
% 0.20/0.53 % (11168)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 % (11160)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)
% 0.20/0.53 TRYING [3]
% 0.20/0.53 % (11175)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)
% 0.20/0.53 % (11157)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 % (11146)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 % (11163)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (11153)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (11153)Instruction limit reached!
% 0.20/0.54 % (11153)------------------------------
% 0.20/0.54 % (11153)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (11153)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (11153)Termination reason: Unknown
% 0.20/0.54 % (11153)Termination phase: Property scanning
% 0.20/0.54
% 0.20/0.54 % (11153)Memory used [KB]: 895
% 0.20/0.54 % (11153)Time elapsed: 0.003 s
% 0.20/0.54 % (11153)Instructions burned: 2 (million)
% 0.20/0.54 % (11153)------------------------------
% 0.20/0.54 % (11153)------------------------------
% 0.20/0.54 % (11158)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (11165)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 % (11144)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)
% 0.20/0.54 % (11159)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 % (11171)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 TRYING [1]
% 0.20/0.54 % (11169)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54 % (11151)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)
% 0.20/0.54 % (11152)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (11145)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)
% 0.20/0.55 % (11161)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 TRYING [1]
% 0.20/0.55 % (11166)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.55 % (11152)Instruction limit reached!
% 0.20/0.55 % (11152)------------------------------
% 0.20/0.55 % (11152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (11155)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 % (11167)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)
% 0.20/0.55 TRYING [2]
% 0.20/0.55 TRYING [3]
% 0.20/0.55 TRYING [2]
% 0.20/0.55 TRYING [3]
% 1.45/0.56 TRYING [4]
% 1.45/0.57 TRYING [4]
% 1.45/0.57 % (11152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.57 % (11152)Termination reason: Unknown
% 1.45/0.57 % (11152)Termination phase: Saturation
% 1.45/0.57
% 1.45/0.57 % (11152)Memory used [KB]: 5500
% 1.45/0.57 % (11152)Time elapsed: 0.143 s
% 1.45/0.57 % (11152)Instructions burned: 8 (million)
% 1.45/0.57 % (11152)------------------------------
% 1.45/0.57 % (11152)------------------------------
% 1.45/0.57 TRYING [4]
% 1.45/0.58 % (11166)First to succeed.
% 1.45/0.58 % (11166)Refutation found. Thanks to Tanya!
% 1.45/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.45/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.45/0.58 % (11166)------------------------------
% 1.45/0.58 % (11166)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.58 % (11166)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.58 % (11166)Termination reason: Refutation
% 1.45/0.58
% 1.45/0.58 % (11166)Memory used [KB]: 5756
% 1.45/0.58 % (11166)Time elapsed: 0.172 s
% 1.45/0.58 % (11166)Instructions burned: 17 (million)
% 1.45/0.58 % (11166)------------------------------
% 1.45/0.58 % (11166)------------------------------
% 1.45/0.58 % (11139)Success in time 0.215 s
%------------------------------------------------------------------------------