TSTP Solution File: GRP374-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP374-1 : 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 : n009.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 16:21:28 EDT 2022
% Result : Unsatisfiable 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 47
% Syntax : Number of formulae : 234 ( 12 unt; 0 def)
% Number of atoms : 918 ( 269 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1343 ( 659 ~; 669 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 55 ( 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f824,plain,
$false,
inference(avatar_sat_refutation,[],[f50,f55,f64,f65,f70,f75,f86,f96,f97,f98,f106,f107,f108,f109,f110,f111,f112,f113,f114,f115,f125,f126,f127,f128,f129,f131,f132,f134,f135,f224,f299,f360,f441,f462,f530,f677,f698,f720,f818]) ).
fof(f818,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f817]) ).
fof(f817,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f816,f787]) ).
fof(f787,plain,
( identity = sk_c8
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(backward_demodulation,[],[f784,f786]) ).
fof(f786,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f598,f782]) ).
fof(f782,plain,
( sk_c8 = sk_c3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(backward_demodulation,[],[f599,f726]) ).
fof(f726,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f63,f722]) ).
fof(f722,plain,
( sk_c8 = sk_c7
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f721,f365]) ).
fof(f365,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f175,f174]) ).
fof(f174,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f150,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f150,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f140,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f140,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(f175,plain,
! [X6,X5] : multiply(X5,X6) = multiply(inverse(inverse(X5)),X6),
inference(superposition,[],[f150,f150]) ).
fof(f721,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f59,f589]) ).
fof(f589,plain,
( identity = sk_c5
| ~ spl0_7
| ~ spl0_8 ),
inference(backward_demodulation,[],[f79,f585]) ).
fof(f585,plain,
( identity = multiply(sk_c4,sk_c8)
| ~ spl0_7 ),
inference(superposition,[],[f367,f74]) ).
fof(f74,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f72,plain,
( spl0_7
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f367,plain,
! [X4] : identity = multiply(X4,inverse(X4)),
inference(superposition,[],[f175,f2]) ).
fof(f79,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f77,plain,
( spl0_8
<=> sk_c5 = multiply(sk_c4,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f59,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f57,plain,
( spl0_4
<=> sk_c7 = multiply(sk_c8,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f63,plain,
( inverse(sk_c8) = sk_c7
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f61,plain,
( spl0_5
<=> inverse(sk_c8) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f599,plain,
( inverse(sk_c8) = sk_c3
| ~ spl0_12 ),
inference(superposition,[],[f379,f105]) ).
fof(f105,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl0_12
<=> sk_c8 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f379,plain,
! [X3] : inverse(inverse(X3)) = X3,
inference(superposition,[],[f365,f174]) ).
fof(f598,plain,
( identity = multiply(sk_c3,sk_c8)
| ~ spl0_12 ),
inference(superposition,[],[f367,f105]) ).
fof(f784,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(backward_demodulation,[],[f727,f782]) ).
fof(f727,plain,
( sk_c8 = multiply(sk_c3,sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f54,f722]) ).
fof(f54,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f52,plain,
( spl0_3
<=> sk_c7 = multiply(sk_c3,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f816,plain,
( identity != sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f776,f812]) ).
fof(f812,plain,
( identity = sk_c7
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f722,f787]) ).
fof(f776,plain,
( sk_c8 != sk_c7
| ~ spl0_1
| ~ spl0_5
| spl0_11 ),
inference(forward_demodulation,[],[f775,f365]) ).
fof(f775,plain,
( sk_c7 != multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_5
| spl0_11 ),
inference(forward_demodulation,[],[f94,f550]) ).
fof(f550,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_5 ),
inference(backward_demodulation,[],[f45,f545]) ).
fof(f545,plain,
( identity = multiply(sk_c8,sk_c7)
| ~ spl0_5 ),
inference(superposition,[],[f367,f63]) ).
fof(f45,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl0_1
<=> multiply(sk_c8,sk_c7) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f94,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| spl0_11 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl0_11
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f720,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f719]) ).
fof(f719,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f712,f379]) ).
fof(f712,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f710]) ).
fof(f710,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15 ),
inference(superposition,[],[f703,f2]) ).
fof(f703,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15 ),
inference(forward_demodulation,[],[f702,f615]) ).
fof(f615,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12 ),
inference(backward_demodulation,[],[f561,f602]) ).
fof(f602,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12 ),
inference(backward_demodulation,[],[f562,f598]) ).
fof(f562,plain,
( sk_c8 = multiply(sk_c3,sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11 ),
inference(backward_demodulation,[],[f54,f561]) ).
fof(f561,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[],[f552,f365]) ).
fof(f552,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_11 ),
inference(backward_demodulation,[],[f95,f550]) ).
fof(f95,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f702,plain,
( ! [X4] :
( sk_c7 != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_15 ),
inference(forward_demodulation,[],[f701,f550]) ).
fof(f701,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,identity) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_15 ),
inference(forward_demodulation,[],[f124,f550]) ).
fof(f124,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f123,plain,
( spl0_15
<=> ! [X4] :
( sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f698,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f697]) ).
fof(f697,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f692,f403]) ).
fof(f403,plain,
identity = inverse(identity),
inference(superposition,[],[f367,f1]) ).
fof(f692,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f687]) ).
fof(f687,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(superposition,[],[f682,f365]) ).
fof(f682,plain,
( ! [X7] :
( identity != multiply(identity,X7)
| identity != inverse(X7) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f681,f615]) ).
fof(f681,plain,
( ! [X7] :
( sk_c7 != multiply(identity,X7)
| identity != inverse(X7) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f680,f365]) ).
fof(f680,plain,
( ! [X7] :
( sk_c7 != multiply(identity,multiply(X7,identity))
| identity != inverse(X7) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f679,f602]) ).
fof(f679,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f121,f602]) ).
fof(f121,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f120,plain,
( spl0_14
<=> ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f677,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f676]) ).
fof(f676,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f670,f379]) ).
fof(f670,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f668]) ).
fof(f668,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f627,f2]) ).
fof(f627,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f618,f602]) ).
fof(f618,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c8)
| identity != inverse(X3) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(backward_demodulation,[],[f566,f602]) ).
fof(f566,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_11
| ~ spl0_13 ),
inference(backward_demodulation,[],[f118,f561]) ).
fof(f118,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f117,plain,
( spl0_13
<=> ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f530,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f529]) ).
fof(f529,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f528,f379]) ).
fof(f528,plain,
( identity != inverse(inverse(identity))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f523]) ).
fof(f523,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f477,f2]) ).
fof(f477,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f476,f264]) ).
fof(f264,plain,
( identity = sk_c7
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f262,f2]) ).
fof(f262,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f150,f244]) ).
fof(f244,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f242,f49]) ).
fof(f49,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f47,plain,
( spl0_2
<=> sk_c6 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f242,plain,
( sk_c6 = multiply(inverse(sk_c2),sk_c7)
| ~ spl0_6 ),
inference(superposition,[],[f150,f69]) ).
fof(f69,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl0_6
<=> sk_c7 = multiply(sk_c2,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f476,plain,
( ! [X3] :
( sk_c7 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f475,f309]) ).
fof(f309,plain,
( identity = sk_c8
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f277,f2]) ).
fof(f277,plain,
( sk_c8 = multiply(inverse(identity),identity)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(backward_demodulation,[],[f255,f264]) ).
fof(f255,plain,
( sk_c8 = multiply(inverse(sk_c7),identity)
| ~ spl0_5 ),
inference(superposition,[],[f150,f239]) ).
fof(f239,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_5 ),
inference(superposition,[],[f2,f63]) ).
fof(f475,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f118,f309]) ).
fof(f462,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f461]) ).
fof(f461,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f456,f295]) ).
fof(f295,plain,
( identity = inverse(identity)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f288,f294]) ).
fof(f294,plain,
( identity = sk_c2
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f292,f2]) ).
fof(f292,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(backward_demodulation,[],[f252,f287]) ).
fof(f287,plain,
( identity = sk_c6
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f276,f1]) ).
fof(f276,plain,
( sk_c6 = multiply(identity,identity)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(backward_demodulation,[],[f251,f264]) ).
fof(f251,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[],[f249,f63]) ).
fof(f249,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_11 ),
inference(superposition,[],[f150,f95]) ).
fof(f252,plain,
( sk_c2 = multiply(inverse(sk_c6),identity)
| ~ spl0_2 ),
inference(superposition,[],[f150,f237]) ).
fof(f237,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl0_2 ),
inference(superposition,[],[f2,f49]) ).
fof(f288,plain,
( identity = inverse(sk_c2)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(backward_demodulation,[],[f49,f287]) ).
fof(f456,plain,
( identity != inverse(identity)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f451]) ).
fof(f451,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f446,f1]) ).
fof(f446,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[],[f445,f264]) ).
fof(f445,plain,
( ! [X4] :
( sk_c7 != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[],[f444,f287]) ).
fof(f444,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[],[f124,f287]) ).
fof(f441,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f440]) ).
fof(f440,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f435,f379]) ).
fof(f435,plain,
( identity != inverse(inverse(identity))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f431]) ).
fof(f431,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f376,f367]) ).
fof(f376,plain,
( ! [X7] :
( identity != multiply(identity,X7)
| identity != inverse(X7) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(backward_demodulation,[],[f363,f365]) ).
fof(f363,plain,
( ! [X7] :
( identity != inverse(X7)
| identity != multiply(identity,multiply(X7,identity)) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f362,f264]) ).
fof(f362,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c7 != multiply(identity,multiply(X7,identity)) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f361,f296]) ).
fof(f296,plain,
( identity = sk_c8
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[],[f283,f295]) ).
fof(f283,plain,
( sk_c8 = inverse(identity)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10 ),
inference(backward_demodulation,[],[f90,f280]) ).
fof(f280,plain,
( identity = sk_c1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f278,f1]) ).
fof(f278,plain,
( sk_c1 = multiply(identity,identity)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10 ),
inference(backward_demodulation,[],[f260,f264]) ).
fof(f260,plain,
( sk_c1 = multiply(sk_c7,identity)
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f258,f63]) ).
fof(f258,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl0_10 ),
inference(superposition,[],[f150,f241]) ).
fof(f241,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_10 ),
inference(superposition,[],[f2,f90]) ).
fof(f90,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl0_10
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f361,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(identity,multiply(X7,identity)) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f121,f296]) ).
fof(f360,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f359]) ).
fof(f359,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f347,f295]) ).
fof(f347,plain,
( identity != inverse(identity)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f342]) ).
fof(f342,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f324,f1]) ).
fof(f324,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f323,f264]) ).
fof(f323,plain,
( ! [X3] :
( sk_c7 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f322,f296]) ).
fof(f322,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,identity) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f118,f296]) ).
fof(f299,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f298]) ).
fof(f298,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f291,f296]) ).
fof(f291,plain,
( identity != sk_c8
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[],[f248,f287]) ).
fof(f248,plain,
( sk_c8 != sk_c6
| spl0_1
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[],[f44,f247]) ).
fof(f247,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f245,f90]) ).
fof(f245,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c7)
| ~ spl0_9 ),
inference(superposition,[],[f150,f83]) ).
fof(f83,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f81,plain,
( spl0_9
<=> sk_c7 = multiply(sk_c1,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f44,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| spl0_1 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f224,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f223]) ).
fof(f223,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f205,f219]) ).
fof(f219,plain,
( identity = inverse(identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(backward_demodulation,[],[f201,f217]) ).
fof(f217,plain,
( identity = sk_c3
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f211,f2]) ).
fof(f211,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(backward_demodulation,[],[f179,f200]) ).
fof(f200,plain,
( identity = sk_c8
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(backward_demodulation,[],[f155,f198]) ).
fof(f198,plain,
( identity = multiply(sk_c3,sk_c8)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(backward_demodulation,[],[f189,f195]) ).
fof(f195,plain,
( sk_c3 = sk_c4
| ~ spl0_7
| ~ spl0_12 ),
inference(backward_demodulation,[],[f181,f179]) ).
fof(f181,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl0_7 ),
inference(superposition,[],[f150,f136]) ).
fof(f136,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_7 ),
inference(superposition,[],[f2,f74]) ).
fof(f189,plain,
( identity = multiply(sk_c4,sk_c8)
| ~ spl0_7
| ~ spl0_8 ),
inference(backward_demodulation,[],[f79,f185]) ).
fof(f185,plain,
( identity = sk_c5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f180,f2]) ).
fof(f180,plain,
( sk_c5 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f150,f151]) ).
fof(f151,plain,
( sk_c8 = multiply(sk_c8,sk_c5)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f147,f79]) ).
fof(f147,plain,
( ! [X11] : multiply(sk_c8,multiply(sk_c4,X11)) = X11
| ~ spl0_7 ),
inference(forward_demodulation,[],[f144,f1]) ).
fof(f144,plain,
( ! [X11] : multiply(identity,X11) = multiply(sk_c8,multiply(sk_c4,X11))
| ~ spl0_7 ),
inference(superposition,[],[f3,f136]) ).
fof(f155,plain,
( sk_c8 = multiply(sk_c3,sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8 ),
inference(backward_demodulation,[],[f54,f153]) ).
fof(f153,plain,
( sk_c8 = sk_c7
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8 ),
inference(backward_demodulation,[],[f59,f151]) ).
fof(f179,plain,
( sk_c3 = multiply(inverse(sk_c8),identity)
| ~ spl0_12 ),
inference(superposition,[],[f150,f137]) ).
fof(f137,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl0_12 ),
inference(superposition,[],[f2,f105]) ).
fof(f201,plain,
( identity = inverse(sk_c3)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(backward_demodulation,[],[f105,f200]) ).
fof(f205,plain,
( identity != inverse(identity)
| ~ spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(backward_demodulation,[],[f156,f200]) ).
fof(f156,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl0_4
| spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(backward_demodulation,[],[f62,f153]) ).
fof(f62,plain,
( inverse(sk_c8) != sk_c7
| spl0_5 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f135,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f24,f103,f93]) ).
fof(f24,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f134,plain,
( spl0_2
| spl0_12 ),
inference(avatar_split_clause,[],[f36,f103,f47]) ).
fof(f36,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f132,plain,
( spl0_5
| spl0_12 ),
inference(avatar_split_clause,[],[f6,f103,f61]) ).
fof(f6,axiom,
( sk_c8 = inverse(sk_c3)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f131,plain,
( spl0_11
| spl0_3 ),
inference(avatar_split_clause,[],[f23,f52,f93]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f129,plain,
( spl0_8
| spl0_11 ),
inference(avatar_split_clause,[],[f26,f93,f77]) ).
fof(f26,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c5 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f128,plain,
( spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f17,f88,f52]) ).
fof(f17,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f127,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f12,f103,f81]) ).
fof(f12,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f126,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f39,f47,f72]) ).
fof(f39,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f125,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_13
| spl0_14
| spl0_15
| ~ spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f41,f117,f93,f123,f120,f117,f61,f43]) ).
fof(f41,plain,
! [X3,X7,X4,X5] :
( sk_c7 != multiply(X5,sk_c8)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c6 != inverse(X4)
| sk_c8 != inverse(X7)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != multiply(X3,sk_c8)
| inverse(sk_c8) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != inverse(X3) ),
inference(equality_resolution,[],[f40]) ).
fof(f40,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c8 != inverse(X7)
| multiply(sk_c8,sk_c7) != sk_c6
| inverse(sk_c8) != sk_c7
| sk_c7 != multiply(sk_c8,X6)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X5)
| multiply(X7,sk_c8) != X6
| sk_c6 != inverse(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f115,plain,
( spl0_1
| spl0_9 ),
inference(avatar_split_clause,[],[f10,f81,f43]) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f114,plain,
( spl0_10
| spl0_1 ),
inference(avatar_split_clause,[],[f16,f43,f88]) ).
fof(f16,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f113,plain,
( spl0_7
| spl0_11 ),
inference(avatar_split_clause,[],[f27,f93,f72]) ).
fof(f27,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f112,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f8,f61,f77]) ).
fof(f8,axiom,
( inverse(sk_c8) = sk_c7
| sk_c5 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f111,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f38,f47,f77]) ).
fof(f38,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c5 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f110,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f5,f61,f52]) ).
fof(f5,axiom,
( inverse(sk_c8) = sk_c7
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f109,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f25,f57,f93]) ).
fof(f25,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f108,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f32,f67,f77]) ).
fof(f32,axiom,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c5 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f107,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f30,f67,f103]) ).
fof(f30,axiom,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f106,plain,
( spl0_12
| spl0_10 ),
inference(avatar_split_clause,[],[f18,f88,f103]) ).
fof(f18,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f98,plain,
( spl0_5
| spl0_7 ),
inference(avatar_split_clause,[],[f9,f72,f61]) ).
fof(f9,axiom,
( sk_c8 = inverse(sk_c4)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f97,plain,
( spl0_6
| spl0_1 ),
inference(avatar_split_clause,[],[f28,f43,f67]) ).
fof(f28,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f96,plain,
( spl0_1
| spl0_11 ),
inference(avatar_split_clause,[],[f22,f93,f43]) ).
fof(f22,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f86,plain,
( spl0_6
| spl0_3 ),
inference(avatar_split_clause,[],[f29,f52,f67]) ).
fof(f29,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f75,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f33,f72,f67]) ).
fof(f33,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f70,plain,
( spl0_6
| spl0_4 ),
inference(avatar_split_clause,[],[f31,f57,f67]) ).
fof(f31,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f65,plain,
( spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f37,f57,f47]) ).
fof(f37,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f64,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f7,f61,f57]) ).
fof(f7,axiom,
( inverse(sk_c8) = sk_c7
| sk_c7 = multiply(sk_c8,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f55,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f35,f47,f52]) ).
fof(f35,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f50,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f34,f47,f43]) ).
fof(f34,axiom,
( sk_c6 = inverse(sk_c2)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP374-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 22:24:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (25784)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)
% 0.19/0.50 % (25779)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (25775)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)
% 0.19/0.51 % (25786)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)
% 0.19/0.51 % (25796)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.51 % (25788)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (25780)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)
% 0.19/0.51 % (25781)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)
% 0.19/0.51 % (25790)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)
% 0.19/0.51 % (25804)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52 % (25787)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 % (25798)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)
% 0.19/0.52 % (25797)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)
% 0.19/0.52 % (25782)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (25794)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)
% 0.19/0.52 % (25805)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)
% 0.19/0.53 % (25777)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)
% 0.19/0.53 % (25803)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)
% 0.19/0.53 % (25785)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (25774)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)
% 0.19/0.53 % (25778)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)
% 0.19/0.53 % (25783)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (25783)Instruction limit reached!
% 0.19/0.53 % (25783)------------------------------
% 0.19/0.53 % (25783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (25783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (25783)Termination reason: Unknown
% 0.19/0.53 % (25783)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (25783)Memory used [KB]: 5500
% 0.19/0.53 % (25783)Time elapsed: 0.133 s
% 0.19/0.53 % (25783)Instructions burned: 3 (million)
% 0.19/0.53 % (25783)------------------------------
% 0.19/0.53 % (25783)------------------------------
% 0.19/0.53 % (25782)Instruction limit reached!
% 0.19/0.53 % (25782)------------------------------
% 0.19/0.53 % (25782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (25782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (25782)Termination reason: Unknown
% 0.19/0.53 % (25782)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (25782)Memory used [KB]: 5500
% 0.19/0.53 % (25782)Time elapsed: 0.090 s
% 0.19/0.53 % (25782)Instructions burned: 7 (million)
% 0.19/0.53 % (25782)------------------------------
% 0.19/0.53 % (25782)------------------------------
% 0.19/0.54 % (25799)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54 % (25801)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54 % (25802)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)
% 0.19/0.54 TRYING [1]
% 0.19/0.54 TRYING [2]
% 0.19/0.54 % (25791)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)
% 0.19/0.54 TRYING [3]
% 0.19/0.55 % (25795)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)
% 0.19/0.55 TRYING [1]
% 0.19/0.55 TRYING [2]
% 0.19/0.55 % (25775)First to succeed.
% 0.19/0.55 TRYING [3]
% 0.19/0.55 % (25789)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)
% 0.19/0.55 % (25792)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.55 % (25775)Refutation found. Thanks to Tanya!
% 0.19/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55 % (25775)------------------------------
% 0.19/0.55 % (25775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (25775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (25775)Termination reason: Refutation
% 0.19/0.55
% 0.19/0.55 % (25775)Memory used [KB]: 5756
% 0.19/0.55 % (25775)Time elapsed: 0.150 s
% 0.19/0.55 % (25775)Instructions burned: 26 (million)
% 0.19/0.55 % (25775)------------------------------
% 0.19/0.55 % (25775)------------------------------
% 0.19/0.55 % (25773)Success in time 0.204 s
%------------------------------------------------------------------------------