TSTP Solution File: GRP294-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP294-1 : 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 : n005.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 16:21:11 EDT 2022
% Result : Unsatisfiable 1.42s 0.54s
% Output : Refutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 51
% Syntax : Number of formulae : 234 ( 9 unt; 0 def)
% Number of atoms : 891 ( 243 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1280 ( 623 ~; 638 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f901,plain,
$false,
inference(avatar_sat_refutation,[],[f43,f52,f61,f66,f71,f81,f82,f87,f88,f89,f90,f91,f92,f93,f94,f95,f96,f97,f99,f100,f101,f114,f115,f116,f117,f118,f119,f120,f121,f139,f148,f199,f213,f239,f286,f307,f327,f356,f579,f704,f712,f772,f789,f866,f889,f896]) ).
fof(f896,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_11
| ~ spl0_16
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f895]) ).
fof(f895,plain,
( $false
| ~ spl0_3
| spl0_4
| ~ spl0_11
| ~ spl0_16
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f894,f892]) ).
fof(f892,plain,
( identity != sk_c5
| ~ spl0_3
| spl0_4
| ~ spl0_11
| ~ spl0_19 ),
inference(forward_demodulation,[],[f891,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f891,plain,
( sk_c5 != multiply(identity,identity)
| ~ spl0_3
| spl0_4
| ~ spl0_11
| ~ spl0_19 ),
inference(forward_demodulation,[],[f890,f820]) ).
fof(f820,plain,
( identity = sk_c7
| ~ spl0_3
| ~ spl0_11
| ~ spl0_19 ),
inference(forward_demodulation,[],[f819,f1]) ).
fof(f819,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl0_3
| ~ spl0_11
| ~ spl0_19 ),
inference(forward_demodulation,[],[f790,f808]) ).
fof(f808,plain,
( identity = sk_c3
| ~ spl0_11
| ~ spl0_19 ),
inference(forward_demodulation,[],[f798,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f798,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl0_11
| ~ spl0_19 ),
inference(backward_demodulation,[],[f723,f146]) ).
fof(f146,plain,
( identity = sk_c6
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f145,plain,
( spl0_19
<=> identity = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f723,plain,
( sk_c3 = multiply(inverse(sk_c6),identity)
| ~ spl0_11 ),
inference(superposition,[],[f227,f86]) ).
fof(f86,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl0_11
<=> sk_c6 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f227,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f162,f2]) ).
fof(f162,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f151,f1]) ).
fof(f151,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/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f790,plain,
( sk_c7 = multiply(sk_c3,identity)
| ~ spl0_3
| ~ spl0_19 ),
inference(backward_demodulation,[],[f47,f146]) ).
fof(f47,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f45,plain,
( spl0_3
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f890,plain,
( sk_c5 != multiply(sk_c7,identity)
| spl0_4
| ~ spl0_19 ),
inference(forward_demodulation,[],[f50,f146]) ).
fof(f50,plain,
( multiply(sk_c7,sk_c6) != sk_c5
| spl0_4 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl0_4
<=> multiply(sk_c7,sk_c6) = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f894,plain,
( identity = sk_c5
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[],[f133,f146]) ).
fof(f133,plain,
( sk_c6 = sk_c5
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl0_16
<=> sk_c6 = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f889,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_14
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f888]) ).
fof(f888,plain,
( $false
| ~ spl0_3
| ~ spl0_11
| ~ spl0_14
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f887,f332]) ).
fof(f332,plain,
identity = inverse(identity),
inference(superposition,[],[f312,f227]) ).
fof(f312,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f162,f227]) ).
fof(f887,plain,
( identity != inverse(identity)
| ~ spl0_3
| ~ spl0_11
| ~ spl0_14
| ~ spl0_19 ),
inference(forward_demodulation,[],[f886,f332]) ).
fof(f886,plain,
( identity != inverse(inverse(identity))
| ~ spl0_3
| ~ spl0_11
| ~ spl0_14
| ~ spl0_19 ),
inference(forward_demodulation,[],[f885,f332]) ).
fof(f885,plain,
( identity != inverse(inverse(inverse(identity)))
| ~ spl0_3
| ~ spl0_11
| ~ spl0_14
| ~ spl0_19 ),
inference(forward_demodulation,[],[f876,f332]) ).
fof(f876,plain,
( identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_3
| ~ spl0_11
| ~ spl0_14
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f875]) ).
fof(f875,plain,
( identity != inverse(inverse(inverse(inverse(identity))))
| identity != identity
| ~ spl0_3
| ~ spl0_11
| ~ spl0_14
| ~ spl0_19 ),
inference(superposition,[],[f869,f312]) ).
fof(f869,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl0_3
| ~ spl0_11
| ~ spl0_14
| ~ spl0_19 ),
inference(forward_demodulation,[],[f868,f820]) ).
fof(f868,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c7 != multiply(X5,identity) )
| ~ spl0_14
| ~ spl0_19 ),
inference(forward_demodulation,[],[f867,f146]) ).
fof(f867,plain,
( ! [X5] :
( sk_c6 != inverse(X5)
| sk_c7 != multiply(X5,identity) )
| ~ spl0_14
| ~ spl0_19 ),
inference(forward_demodulation,[],[f110,f146]) ).
fof(f110,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f109,plain,
( spl0_14
<=> ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f866,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_15
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f865]) ).
fof(f865,plain,
( $false
| ~ spl0_3
| ~ spl0_11
| ~ spl0_15
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f853,f332]) ).
fof(f853,plain,
( identity != inverse(identity)
| ~ spl0_3
| ~ spl0_11
| ~ spl0_15
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f848]) ).
fof(f848,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl0_3
| ~ spl0_11
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f825,f1]) ).
fof(f825,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl0_3
| ~ spl0_11
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f823,f820]) ).
fof(f823,plain,
( ! [X3] :
( identity != multiply(X3,sk_c7)
| identity != inverse(X3) )
| ~ spl0_3
| ~ spl0_11
| ~ spl0_15
| ~ spl0_19 ),
inference(backward_demodulation,[],[f795,f820]) ).
fof(f795,plain,
( ! [X3] :
( identity != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl0_15
| ~ spl0_19 ),
inference(backward_demodulation,[],[f113,f146]) ).
fof(f113,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f112,plain,
( spl0_15
<=> ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f789,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| spl0_16 ),
inference(avatar_contradiction_clause,[],[f788]) ).
fof(f788,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| spl0_16 ),
inference(subsumption_resolution,[],[f787,f134]) ).
fof(f134,plain,
( sk_c6 != sk_c5
| spl0_16 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f787,plain,
( sk_c6 = sk_c5
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11 ),
inference(backward_demodulation,[],[f56,f786]) ).
fof(f786,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[],[f784,f86]) ).
fof(f784,plain,
( sk_c6 = multiply(inverse(sk_c3),sk_c7)
| ~ spl0_3 ),
inference(superposition,[],[f162,f47]) ).
fof(f56,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f54,plain,
( spl0_5
<=> sk_c5 = multiply(sk_c6,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f772,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f771]) ).
fof(f771,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16
| spl0_19 ),
inference(subsumption_resolution,[],[f770,f757]) ).
fof(f757,plain,
( identity != sk_c7
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16
| spl0_19 ),
inference(superposition,[],[f147,f731]) ).
fof(f731,plain,
( sk_c7 = sk_c6
| ~ spl0_1
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f730,f47]) ).
fof(f730,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| ~ spl0_1
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(backward_demodulation,[],[f707,f726]) ).
fof(f726,plain,
( sk_c3 = sk_c4
| ~ spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[],[f718,f723]) ).
fof(f718,plain,
( sk_c4 = multiply(inverse(sk_c6),identity)
| ~ spl0_10 ),
inference(superposition,[],[f227,f80]) ).
fof(f80,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl0_10
<=> sk_c6 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f707,plain,
( sk_c6 = multiply(sk_c4,sk_c6)
| ~ spl0_1
| ~ spl0_16 ),
inference(forward_demodulation,[],[f38,f133]) ).
fof(f38,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f36,plain,
( spl0_1
<=> sk_c6 = multiply(sk_c4,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f147,plain,
( identity != sk_c6
| spl0_19 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f770,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f768,f2]) ).
fof(f768,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(superposition,[],[f162,f741]) ).
fof(f741,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16 ),
inference(backward_demodulation,[],[f710,f731]) ).
fof(f710,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_demodulation,[],[f56,f133]) ).
fof(f712,plain,
( spl0_15
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f711,f132,f106,f112]) ).
fof(f106,plain,
( spl0_13
<=> ! [X4] :
( sk_c7 != inverse(X4)
| sk_c5 != multiply(X4,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f711,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7) )
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f107,f133]) ).
fof(f107,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c5 != multiply(X4,sk_c7) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f704,plain,
( ~ spl0_19
| spl0_17 ),
inference(avatar_split_clause,[],[f703,f136,f145]) ).
fof(f136,plain,
( spl0_17
<=> sk_c6 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f703,plain,
( identity != sk_c6
| spl0_17 ),
inference(forward_demodulation,[],[f138,f332]) ).
fof(f138,plain,
( sk_c6 != inverse(identity)
| spl0_17 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f579,plain,
( ~ spl0_5
| spl0_9
| ~ spl0_16
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f578]) ).
fof(f578,plain,
( $false
| ~ spl0_5
| spl0_9
| ~ spl0_16
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f574,f1]) ).
fof(f574,plain,
( identity != multiply(identity,identity)
| ~ spl0_5
| spl0_9
| ~ spl0_16
| ~ spl0_19 ),
inference(backward_demodulation,[],[f564,f568]) ).
fof(f568,plain,
( identity = sk_c7
| ~ spl0_5
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[],[f528,f563]) ).
fof(f563,plain,
( identity = sk_c5
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[],[f133,f146]) ).
fof(f528,plain,
( sk_c7 = sk_c5
| ~ spl0_5
| ~ spl0_19 ),
inference(forward_demodulation,[],[f527,f1]) ).
fof(f527,plain,
( sk_c5 = multiply(identity,sk_c7)
| ~ spl0_5
| ~ spl0_19 ),
inference(forward_demodulation,[],[f56,f146]) ).
fof(f564,plain,
( identity != multiply(sk_c7,identity)
| spl0_9
| ~ spl0_16
| ~ spl0_19 ),
inference(backward_demodulation,[],[f562,f563]) ).
fof(f562,plain,
( identity != multiply(sk_c7,sk_c5)
| spl0_9
| ~ spl0_19 ),
inference(forward_demodulation,[],[f75,f146]) ).
fof(f75,plain,
( sk_c6 != multiply(sk_c7,sk_c5)
| spl0_9 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f74,plain,
( spl0_9
<=> sk_c6 = multiply(sk_c7,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f356,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f355]) ).
fof(f355,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_17
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f354,f282]) ).
fof(f282,plain,
( identity = inverse(identity)
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f137,f146]) ).
fof(f137,plain,
( sk_c6 = inverse(identity)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f354,plain,
( identity != inverse(identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f353,f282]) ).
fof(f353,plain,
( identity != inverse(inverse(identity))
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f352,f282]) ).
fof(f352,plain,
( identity != inverse(inverse(inverse(identity)))
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f343,f282]) ).
fof(f343,plain,
( identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f342]) ).
fof(f342,plain,
( identity != identity
| identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_19 ),
inference(superposition,[],[f330,f312]) ).
fof(f330,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_19 ),
inference(forward_demodulation,[],[f329,f252]) ).
fof(f252,plain,
( identity = sk_c7
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_19 ),
inference(backward_demodulation,[],[f169,f146]) ).
fof(f169,plain,
( sk_c7 = sk_c6
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(backward_demodulation,[],[f76,f167]) ).
fof(f167,plain,
( sk_c7 = multiply(sk_c7,sk_c5)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f163,f60]) ).
fof(f60,plain,
( sk_c5 = multiply(sk_c2,sk_c7)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl0_6
<=> sk_c5 = multiply(sk_c2,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f163,plain,
( ! [X11] : multiply(sk_c7,multiply(sk_c2,X11)) = X11
| ~ spl0_8 ),
inference(forward_demodulation,[],[f155,f1]) ).
fof(f155,plain,
( ! [X11] : multiply(identity,X11) = multiply(sk_c7,multiply(sk_c2,X11))
| ~ spl0_8 ),
inference(superposition,[],[f3,f123]) ).
fof(f123,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_8 ),
inference(superposition,[],[f2,f70]) ).
fof(f70,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl0_8
<=> sk_c7 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f76,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f329,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c7 != multiply(X5,identity) )
| ~ spl0_14
| ~ spl0_19 ),
inference(forward_demodulation,[],[f328,f146]) ).
fof(f328,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| identity != inverse(X5) )
| ~ spl0_14
| ~ spl0_19 ),
inference(forward_demodulation,[],[f110,f146]) ).
fof(f327,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f326]) ).
fof(f326,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_17
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f325,f282]) ).
fof(f325,plain,
( identity != inverse(identity)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f320,f282]) ).
fof(f320,plain,
( identity != inverse(inverse(identity))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f318]) ).
fof(f318,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_19 ),
inference(superposition,[],[f310,f2]) ).
fof(f310,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f309,f252]) ).
fof(f309,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| identity != multiply(X4,identity) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f308,f260]) ).
fof(f260,plain,
( identity = sk_c5
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_19 ),
inference(backward_demodulation,[],[f203,f252]) ).
fof(f203,plain,
( sk_c7 = sk_c5
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f172,f195]) ).
fof(f195,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f164,f174]) ).
fof(f174,plain,
( sk_c7 = multiply(sk_c1,sk_c7)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(backward_demodulation,[],[f65,f169]) ).
fof(f65,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl0_7
<=> sk_c6 = multiply(sk_c1,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f164,plain,
( ! [X10] : multiply(sk_c7,multiply(sk_c1,X10)) = X10
| ~ spl0_2 ),
inference(forward_demodulation,[],[f154,f1]) ).
fof(f154,plain,
( ! [X10] : multiply(sk_c7,multiply(sk_c1,X10)) = multiply(identity,X10)
| ~ spl0_2 ),
inference(superposition,[],[f3,f122]) ).
fof(f122,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_2 ),
inference(superposition,[],[f2,f42]) ).
fof(f42,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f40,plain,
( spl0_2
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f172,plain,
( sk_c5 = multiply(sk_c7,sk_c7)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(backward_demodulation,[],[f51,f169]) ).
fof(f51,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f308,plain,
( ! [X4] :
( sk_c5 != multiply(X4,identity)
| sk_c7 != inverse(X4) )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f107,f252]) ).
fof(f307,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f306]) ).
fof(f306,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f305,f282]) ).
fof(f305,plain,
( identity != inverse(identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f300,f282]) ).
fof(f300,plain,
( identity != inverse(inverse(identity))
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f299]) ).
fof(f299,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f289,f2]) ).
fof(f289,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f288,f146]) ).
fof(f288,plain,
( ! [X3] :
( sk_c6 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f287,f252]) ).
fof(f287,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,identity) )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f113,f252]) ).
fof(f286,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17
| spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f285]) ).
fof(f285,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17
| spl0_18
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f283,f282]) ).
fof(f283,plain,
( identity != inverse(identity)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17
| spl0_18
| ~ spl0_19 ),
inference(backward_demodulation,[],[f281,f282]) ).
fof(f281,plain,
( identity != inverse(inverse(identity))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f280,f146]) ).
fof(f280,plain,
( sk_c6 != inverse(inverse(identity))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f143,f260]) ).
fof(f143,plain,
( sk_c6 != inverse(inverse(sk_c5))
| spl0_18 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl0_18
<=> sk_c6 = inverse(inverse(sk_c5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f239,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f238]) ).
fof(f238,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| spl0_19 ),
inference(subsumption_resolution,[],[f237,f189]) ).
fof(f189,plain,
( identity != sk_c7
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| spl0_19 ),
inference(superposition,[],[f147,f169]) ).
fof(f237,plain,
( identity = sk_c7
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f231,f2]) ).
fof(f231,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f162,f195]) ).
fof(f213,plain,
( ~ spl0_2
| ~ spl0_4
| spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f212]) ).
fof(f212,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f202,f203]) ).
fof(f202,plain,
( sk_c7 != sk_c5
| ~ spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f201,f195]) ).
fof(f201,plain,
( sk_c5 != multiply(sk_c7,sk_c7)
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f55,f169]) ).
fof(f55,plain,
( sk_c5 != multiply(sk_c6,sk_c7)
| spl0_5 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f199,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| spl0_16 ),
inference(avatar_contradiction_clause,[],[f198]) ).
fof(f198,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| spl0_16 ),
inference(subsumption_resolution,[],[f197,f178]) ).
fof(f178,plain,
( sk_c7 != sk_c5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| spl0_16 ),
inference(backward_demodulation,[],[f134,f169]) ).
fof(f197,plain,
( sk_c7 = sk_c5
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(backward_demodulation,[],[f173,f195]) ).
fof(f173,plain,
( sk_c5 = multiply(sk_c7,sk_c7)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(backward_demodulation,[],[f56,f169]) ).
fof(f148,plain,
( ~ spl0_18
| ~ spl0_19
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f125,f103,f145,f141]) ).
fof(f103,plain,
( spl0_12
<=> ! [X6] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f125,plain,
( identity != sk_c6
| sk_c6 != inverse(inverse(sk_c5))
| ~ spl0_12 ),
inference(superposition,[],[f104,f2]) ).
fof(f104,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f139,plain,
( ~ spl0_16
| ~ spl0_17
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f124,f103,f136,f132]) ).
fof(f124,plain,
( sk_c6 != inverse(identity)
| sk_c6 != sk_c5
| ~ spl0_12 ),
inference(superposition,[],[f104,f1]) ).
fof(f121,plain,
( spl0_1
| spl0_9 ),
inference(avatar_split_clause,[],[f23,f74,f36]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f120,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f15,f40,f45]) ).
fof(f15,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f119,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f12,f63,f78]) ).
fof(f12,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f118,plain,
( spl0_8
| spl0_11 ),
inference(avatar_split_clause,[],[f31,f84,f68]) ).
fof(f31,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f117,plain,
( spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f14,f54,f40]) ).
fof(f14,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f116,plain,
( spl0_11
| spl0_2 ),
inference(avatar_split_clause,[],[f16,f40,f84]) ).
fof(f16,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f115,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f11,f63,f84]) ).
fof(f11,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f114,plain,
( spl0_12
| ~ spl0_5
| spl0_13
| ~ spl0_9
| ~ spl0_4
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f34,f112,f109,f49,f74,f106,f54,f103]) ).
fof(f34,axiom,
! [X3,X6,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c7 != multiply(X5,sk_c6)
| multiply(sk_c7,sk_c6) != sk_c5
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c7 != inverse(X4)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c5 != multiply(X4,sk_c7)
| sk_c6 != inverse(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f101,plain,
( spl0_4
| spl0_11 ),
inference(avatar_split_clause,[],[f6,f84,f49]) ).
fof(f6,axiom,
( sk_c6 = inverse(sk_c3)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f100,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f27,f58,f78]) ).
fof(f27,axiom,
( sk_c5 = multiply(sk_c2,sk_c7)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f99,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f4,f54,f49]) ).
fof(f4,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f97,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f20,f45,f74]) ).
fof(f20,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f96,plain,
( spl0_2
| spl0_10 ),
inference(avatar_split_clause,[],[f17,f78,f40]) ).
fof(f17,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f95,plain,
( spl0_7
| spl0_1 ),
inference(avatar_split_clause,[],[f13,f36,f63]) ).
fof(f13,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f94,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f28,f58,f36]) ).
fof(f28,axiom,
( sk_c5 = multiply(sk_c2,sk_c7)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f93,plain,
( spl0_1
| spl0_8 ),
inference(avatar_split_clause,[],[f33,f68,f36]) ).
fof(f33,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f92,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f26,f58,f84]) ).
fof(f26,axiom,
( sk_c5 = multiply(sk_c2,sk_c7)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f91,plain,
( spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f10,f45,f63]) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f90,plain,
( spl0_8
| spl0_10 ),
inference(avatar_split_clause,[],[f32,f78,f68]) ).
fof(f32,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f89,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f25,f58,f45]) ).
fof(f25,axiom,
( sk_c5 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f88,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f30,f45,f68]) ).
fof(f30,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f87,plain,
( spl0_9
| spl0_11 ),
inference(avatar_split_clause,[],[f21,f84,f74]) ).
fof(f21,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f82,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f19,f54,f74]) ).
fof(f19,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f81,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f22,f78,f74]) ).
fof(f22,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f71,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f29,f54,f68]) ).
fof(f29,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f66,plain,
( spl0_5
| spl0_7 ),
inference(avatar_split_clause,[],[f9,f63,f54]) ).
fof(f9,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f61,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f24,f58,f54]) ).
fof(f24,axiom,
( sk_c5 = multiply(sk_c2,sk_c7)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f52,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f5,f49,f45]) ).
fof(f5,axiom,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f43,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f18,f40,f36]) ).
fof(f18,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP294-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 22:25:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.47 % (21542)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)
% 0.18/0.48 % (21541)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)
% 0.18/0.48 % (21567)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.49 % (21571)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)
% 0.18/0.49 % (21570)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.49 TRYING [1]
% 0.18/0.49 % (21550)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.49 % (21556)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)
% 0.18/0.49 % (21559)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.49 % (21547)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)
% 0.18/0.49 TRYING [1]
% 0.18/0.49 % (21545)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49 TRYING [2]
% 0.18/0.49 % (21543)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)
% 0.18/0.49 TRYING [1]
% 0.18/0.49 TRYING [2]
% 0.18/0.50 TRYING [3]
% 0.18/0.50 TRYING [3]
% 0.18/0.50 % (21546)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)
% 0.18/0.50 % (21550)Instruction limit reached!
% 0.18/0.50 % (21550)------------------------------
% 0.18/0.50 % (21550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 TRYING [2]
% 0.18/0.50 TRYING [3]
% 0.18/0.50 % (21550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (21550)Termination reason: Unknown
% 0.18/0.50 % (21550)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (21550)Memory used [KB]: 5500
% 0.18/0.50 % (21550)Time elapsed: 0.114 s
% 0.18/0.50 % (21550)Instructions burned: 3 (million)
% 0.18/0.50 % (21550)------------------------------
% 0.18/0.50 % (21550)------------------------------
% 0.18/0.50 % (21564)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)
% 0.18/0.50 % (21563)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.50 % (21565)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)
% 0.18/0.51 % (21552)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.51 TRYING [4]
% 0.18/0.51 TRYING [4]
% 0.18/0.51 % (21558)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)
% 0.18/0.51 % (21554)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.51 % (21569)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)
% 0.18/0.51 % (21566)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.52 % (21551)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)
% 0.18/0.52 % (21568)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)
% 0.18/0.52 % (21544)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)
% 0.18/0.52 % (21557)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)
% 0.18/0.52 TRYING [4]
% 0.18/0.53 % (21548)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.53 % (21542)First to succeed.
% 0.18/0.53 % (21560)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.53 % (21561)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)
% 0.18/0.53 % (21553)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)
% 0.18/0.53 % (21562)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)
% 0.18/0.53 % (21555)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.42/0.54 TRYING [5]
% 1.42/0.54 % (21547)Instruction limit reached!
% 1.42/0.54 % (21547)------------------------------
% 1.42/0.54 % (21547)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54 % (21570)Also succeeded, but the first one will report.
% 1.42/0.54 % (21548)Instruction limit reached!
% 1.42/0.54 % (21548)------------------------------
% 1.42/0.54 % (21548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54 % (21548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54 % (21548)Termination reason: Unknown
% 1.42/0.54 % (21548)Termination phase: Saturation
% 1.42/0.54
% 1.42/0.54 % (21548)Memory used [KB]: 5500
% 1.42/0.54 % (21548)Time elapsed: 0.117 s
% 1.42/0.54 % (21548)Instructions burned: 7 (million)
% 1.42/0.54 % (21548)------------------------------
% 1.42/0.54 % (21548)------------------------------
% 1.42/0.54 % (21542)Refutation found. Thanks to Tanya!
% 1.42/0.54 % SZS status Unsatisfiable for theBenchmark
% 1.42/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.42/0.54 % (21542)------------------------------
% 1.42/0.54 % (21542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54 % (21542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54 % (21542)Termination reason: Refutation
% 1.42/0.54
% 1.42/0.54 % (21542)Memory used [KB]: 5756
% 1.42/0.54 % (21542)Time elapsed: 0.145 s
% 1.42/0.54 % (21542)Instructions burned: 30 (million)
% 1.42/0.54 % (21542)------------------------------
% 1.42/0.54 % (21542)------------------------------
% 1.42/0.54 % (21538)Success in time 0.202 s
%------------------------------------------------------------------------------