TSTP Solution File: GRP295-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP295-1 : 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 : n012.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 16:21:12 EDT 2022
% Result : Unsatisfiable 1.48s 0.58s
% Output : Refutation 1.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 57
% Syntax : Number of formulae : 247 ( 9 unt; 0 def)
% Number of atoms : 1090 ( 287 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 1676 ( 833 ~; 820 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 24 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 58 ( 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f827,plain,
$false,
inference(avatar_sat_refutation,[],[f49,f58,f63,f64,f69,f74,f79,f88,f89,f90,f91,f92,f108,f112,f113,f114,f119,f120,f121,f122,f123,f124,f125,f126,f127,f128,f132,f133,f134,f135,f136,f140,f141,f142,f241,f256,f268,f296,f314,f580,f620,f653,f711,f743,f770,f800,f826]) ).
fof(f826,plain,
( ~ spl3_3
| ~ spl3_8
| ~ spl3_10
| ~ spl3_16
| ~ spl3_17
| ~ spl3_19
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f825]) ).
fof(f825,plain,
( $false
| ~ spl3_3
| ~ spl3_8
| ~ spl3_10
| ~ spl3_16
| ~ spl3_17
| ~ spl3_19
| ~ spl3_20 ),
inference(trivial_inequality_removal,[],[f824]) ).
fof(f824,plain,
( identity != identity
| ~ spl3_3
| ~ spl3_8
| ~ spl3_10
| ~ spl3_16
| ~ spl3_17
| ~ spl3_19
| ~ spl3_20 ),
inference(superposition,[],[f822,f280]) ).
fof(f280,plain,
identity = inverse(identity),
inference(superposition,[],[f174,f273]) ).
fof(f273,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f153,f174]) ).
fof(f153,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f147,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f147,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f174,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f153,f2]) ).
fof(f822,plain,
( identity != inverse(identity)
| ~ spl3_3
| ~ spl3_8
| ~ spl3_10
| ~ spl3_16
| ~ spl3_17
| ~ spl3_19
| ~ spl3_20 ),
inference(forward_demodulation,[],[f821,f280]) ).
fof(f821,plain,
( identity != inverse(inverse(identity))
| ~ spl3_3
| ~ spl3_8
| ~ spl3_10
| ~ spl3_16
| ~ spl3_17
| ~ spl3_19
| ~ spl3_20 ),
inference(forward_demodulation,[],[f820,f280]) ).
fof(f820,plain,
( identity != inverse(inverse(inverse(identity)))
| ~ spl3_3
| ~ spl3_8
| ~ spl3_10
| ~ spl3_16
| ~ spl3_17
| ~ spl3_19
| ~ spl3_20 ),
inference(forward_demodulation,[],[f816,f280]) ).
fof(f816,plain,
( identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl3_3
| ~ spl3_8
| ~ spl3_10
| ~ spl3_16
| ~ spl3_17
| ~ spl3_19
| ~ spl3_20 ),
inference(trivial_inequality_removal,[],[f808]) ).
fof(f808,plain,
( identity != identity
| identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl3_3
| ~ spl3_8
| ~ spl3_10
| ~ spl3_16
| ~ spl3_17
| ~ spl3_19
| ~ spl3_20 ),
inference(superposition,[],[f803,f273]) ).
fof(f803,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl3_3
| ~ spl3_8
| ~ spl3_10
| ~ spl3_16
| ~ spl3_17
| ~ spl3_19
| ~ spl3_20 ),
inference(forward_demodulation,[],[f802,f584]) ).
fof(f584,plain,
( identity = sk_c7
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f583,plain,
( spl3_19
<=> identity = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f802,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| identity != multiply(X4,identity) )
| ~ spl3_3
| ~ spl3_8
| ~ spl3_10
| ~ spl3_16
| ~ spl3_17
| ~ spl3_19
| ~ spl3_20 ),
inference(forward_demodulation,[],[f801,f690]) ).
fof(f690,plain,
( identity = sk_c5
| ~ spl3_3
| ~ spl3_8
| ~ spl3_10
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(backward_demodulation,[],[f661,f584]) ).
fof(f661,plain,
( sk_c7 = sk_c5
| ~ spl3_3
| ~ spl3_8
| ~ spl3_10
| ~ spl3_16
| ~ spl3_20 ),
inference(forward_demodulation,[],[f639,f637]) ).
fof(f637,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl3_3
| ~ spl3_10
| ~ spl3_20 ),
inference(backward_demodulation,[],[f372,f588]) ).
fof(f588,plain,
( sk_c7 = sk_c6
| ~ spl3_20 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f587,plain,
( spl3_20
<=> sk_c7 = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).
fof(f372,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl3_3
| ~ spl3_10 ),
inference(forward_demodulation,[],[f370,f53]) ).
fof(f53,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f51,plain,
( spl3_3
<=> sk_c7 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f370,plain,
( sk_c6 = multiply(inverse(sk_c3),sk_c7)
| ~ spl3_10 ),
inference(superposition,[],[f153,f87]) ).
fof(f87,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f85,plain,
( spl3_10
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f639,plain,
( sk_c5 = multiply(sk_c7,sk_c7)
| ~ spl3_8
| ~ spl3_16
| ~ spl3_20 ),
inference(backward_demodulation,[],[f375,f588]) ).
fof(f375,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl3_8
| ~ spl3_16 ),
inference(forward_demodulation,[],[f373,f78]) ).
fof(f78,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl3_8
<=> sk_c6 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f373,plain,
( sk_c5 = multiply(inverse(sk_c4),sk_c6)
| ~ spl3_16 ),
inference(superposition,[],[f153,f118]) ).
fof(f118,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f116,plain,
( spl3_16
<=> sk_c6 = multiply(sk_c4,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f801,plain,
( ! [X4] :
( sk_c5 != multiply(X4,identity)
| sk_c7 != inverse(X4) )
| ~ spl3_17
| ~ spl3_19 ),
inference(forward_demodulation,[],[f131,f584]) ).
fof(f131,plain,
( ! [X4] :
( sk_c5 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f130,plain,
( spl3_17
<=> ! [X4] :
( sk_c5 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f800,plain,
( ~ spl3_18
| ~ spl3_19
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f799]) ).
fof(f799,plain,
( $false
| ~ spl3_18
| ~ spl3_19
| ~ spl3_20 ),
inference(trivial_inequality_removal,[],[f798]) ).
fof(f798,plain,
( identity != identity
| ~ spl3_18
| ~ spl3_19
| ~ spl3_20 ),
inference(superposition,[],[f794,f280]) ).
fof(f794,plain,
( identity != inverse(identity)
| ~ spl3_18
| ~ spl3_19
| ~ spl3_20 ),
inference(forward_demodulation,[],[f792,f280]) ).
fof(f792,plain,
( identity != inverse(inverse(identity))
| ~ spl3_18
| ~ spl3_19
| ~ spl3_20 ),
inference(trivial_inequality_removal,[],[f780]) ).
fof(f780,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl3_18
| ~ spl3_19
| ~ spl3_20 ),
inference(superposition,[],[f773,f2]) ).
fof(f773,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl3_18
| ~ spl3_19
| ~ spl3_20 ),
inference(forward_demodulation,[],[f772,f680]) ).
fof(f680,plain,
( identity = sk_c6
| ~ spl3_19
| ~ spl3_20 ),
inference(backward_demodulation,[],[f588,f584]) ).
fof(f772,plain,
( ! [X3] :
( sk_c6 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl3_18
| ~ spl3_19 ),
inference(forward_demodulation,[],[f771,f584]) ).
fof(f771,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,identity) )
| ~ spl3_18
| ~ spl3_19 ),
inference(forward_demodulation,[],[f139,f584]) ).
fof(f139,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f138,plain,
( spl3_18
<=> ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f770,plain,
( ~ spl3_3
| ~ spl3_8
| ~ spl3_10
| ~ spl3_15
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f769]) ).
fof(f769,plain,
( $false
| ~ spl3_3
| ~ spl3_8
| ~ spl3_10
| ~ spl3_15
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(trivial_inequality_removal,[],[f768]) ).
fof(f768,plain,
( identity != identity
| ~ spl3_3
| ~ spl3_8
| ~ spl3_10
| ~ spl3_15
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(superposition,[],[f762,f280]) ).
fof(f762,plain,
( identity != inverse(identity)
| ~ spl3_3
| ~ spl3_8
| ~ spl3_10
| ~ spl3_15
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(forward_demodulation,[],[f761,f280]) ).
fof(f761,plain,
( identity != inverse(inverse(identity))
| ~ spl3_3
| ~ spl3_8
| ~ spl3_10
| ~ spl3_15
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(forward_demodulation,[],[f760,f280]) ).
fof(f760,plain,
( identity != inverse(inverse(inverse(identity)))
| ~ spl3_3
| ~ spl3_8
| ~ spl3_10
| ~ spl3_15
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(forward_demodulation,[],[f759,f280]) ).
fof(f759,plain,
( identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl3_3
| ~ spl3_8
| ~ spl3_10
| ~ spl3_15
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(trivial_inequality_removal,[],[f754]) ).
fof(f754,plain,
( identity != identity
| identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl3_3
| ~ spl3_8
| ~ spl3_10
| ~ spl3_15
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(superposition,[],[f749,f273]) ).
fof(f749,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl3_3
| ~ spl3_8
| ~ spl3_10
| ~ spl3_15
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(forward_demodulation,[],[f748,f680]) ).
fof(f748,plain,
( ! [X6] :
( sk_c6 != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl3_3
| ~ spl3_8
| ~ spl3_10
| ~ spl3_15
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(forward_demodulation,[],[f747,f690]) ).
fof(f747,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c6 != multiply(X6,sk_c5) )
| ~ spl3_15
| ~ spl3_19
| ~ spl3_20 ),
inference(forward_demodulation,[],[f111,f680]) ).
fof(f111,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c5) )
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl3_15
<=> ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f743,plain,
( ~ spl3_3
| spl3_4
| ~ spl3_8
| ~ spl3_10
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f742]) ).
fof(f742,plain,
( $false
| ~ spl3_3
| spl3_4
| ~ spl3_8
| ~ spl3_10
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(trivial_inequality_removal,[],[f741]) ).
fof(f741,plain,
( identity != identity
| ~ spl3_3
| spl3_4
| ~ spl3_8
| ~ spl3_10
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(superposition,[],[f714,f1]) ).
fof(f714,plain,
( identity != multiply(identity,identity)
| ~ spl3_3
| spl3_4
| ~ spl3_8
| ~ spl3_10
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(forward_demodulation,[],[f713,f584]) ).
fof(f713,plain,
( identity != multiply(sk_c7,identity)
| ~ spl3_3
| spl3_4
| ~ spl3_8
| ~ spl3_10
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(forward_demodulation,[],[f712,f680]) ).
fof(f712,plain,
( identity != multiply(sk_c7,sk_c6)
| ~ spl3_3
| spl3_4
| ~ spl3_8
| ~ spl3_10
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(forward_demodulation,[],[f56,f690]) ).
fof(f56,plain,
( multiply(sk_c7,sk_c6) != sk_c5
| spl3_4 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl3_4
<=> multiply(sk_c7,sk_c6) = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f711,plain,
( ~ spl3_3
| ~ spl3_8
| spl3_9
| ~ spl3_10
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f710]) ).
fof(f710,plain,
( $false
| ~ spl3_3
| ~ spl3_8
| spl3_9
| ~ spl3_10
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(trivial_inequality_removal,[],[f709]) ).
fof(f709,plain,
( identity != identity
| ~ spl3_3
| ~ spl3_8
| spl3_9
| ~ spl3_10
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(superposition,[],[f693,f1]) ).
fof(f693,plain,
( identity != multiply(identity,identity)
| ~ spl3_3
| ~ spl3_8
| spl3_9
| ~ spl3_10
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(backward_demodulation,[],[f664,f584]) ).
fof(f664,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl3_3
| ~ spl3_8
| spl3_9
| ~ spl3_10
| ~ spl3_16
| ~ spl3_20 ),
inference(backward_demodulation,[],[f625,f661]) ).
fof(f625,plain,
( sk_c7 != multiply(sk_c7,sk_c5)
| spl3_9
| ~ spl3_20 ),
inference(backward_demodulation,[],[f82,f588]) ).
fof(f82,plain,
( sk_c6 != multiply(sk_c7,sk_c5)
| spl3_9 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f81,plain,
( spl3_9
<=> sk_c6 = multiply(sk_c7,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f653,plain,
( spl3_19
| ~ spl3_3
| ~ spl3_10
| ~ spl3_20 ),
inference(avatar_split_clause,[],[f652,f587,f85,f51,f583]) ).
fof(f652,plain,
( identity = sk_c7
| ~ spl3_3
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f641,f2]) ).
fof(f641,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl3_3
| ~ spl3_10
| ~ spl3_20 ),
inference(backward_demodulation,[],[f397,f588]) ).
fof(f397,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl3_3
| ~ spl3_10 ),
inference(superposition,[],[f153,f372]) ).
fof(f620,plain,
( spl3_20
| ~ spl3_1
| ~ spl3_8
| ~ spl3_16 ),
inference(avatar_split_clause,[],[f619,f116,f76,f42,f587]) ).
fof(f42,plain,
( spl3_1
<=> sk_c5 = multiply(sk_c6,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f619,plain,
( sk_c7 = sk_c6
| ~ spl3_1
| ~ spl3_8
| ~ spl3_16 ),
inference(forward_demodulation,[],[f617,f364]) ).
fof(f364,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c5)
| ~ spl3_1 ),
inference(superposition,[],[f153,f44]) ).
fof(f44,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f617,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c5)
| ~ spl3_8
| ~ spl3_16 ),
inference(superposition,[],[f153,f375]) ).
fof(f580,plain,
( ~ spl3_3
| ~ spl3_10
| ~ spl3_12 ),
inference(avatar_split_clause,[],[f579,f98,f85,f51]) ).
fof(f98,plain,
( spl3_12
<=> ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f579,plain,
( sk_c7 != inverse(sk_c3)
| ~ spl3_10
| ~ spl3_12 ),
inference(trivial_inequality_removal,[],[f578]) ).
fof(f578,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c3)
| ~ spl3_10
| ~ spl3_12 ),
inference(superposition,[],[f99,f87]) ).
fof(f99,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5) )
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f314,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f313]) ).
fof(f313,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_18 ),
inference(trivial_inequality_removal,[],[f312]) ).
fof(f312,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_18 ),
inference(superposition,[],[f307,f211]) ).
fof(f211,plain,
( identity = inverse(identity)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9 ),
inference(backward_demodulation,[],[f196,f210]) ).
fof(f210,plain,
( identity = sk_c2
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9 ),
inference(forward_demodulation,[],[f205,f2]) ).
fof(f205,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9 ),
inference(backward_demodulation,[],[f179,f194]) ).
fof(f194,plain,
( identity = sk_c7
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9 ),
inference(forward_demodulation,[],[f193,f2]) ).
fof(f193,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9 ),
inference(backward_demodulation,[],[f177,f186]) ).
fof(f186,plain,
( sk_c7 = sk_c6
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9 ),
inference(backward_demodulation,[],[f164,f185]) ).
fof(f185,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7 ),
inference(forward_demodulation,[],[f181,f68]) ).
fof(f68,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl3_6
<=> sk_c7 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f181,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c7)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7 ),
inference(superposition,[],[f153,f163]) ).
fof(f163,plain,
( sk_c7 = multiply(sk_c2,sk_c7)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7 ),
inference(backward_demodulation,[],[f73,f161]) ).
fof(f161,plain,
( sk_c7 = sk_c5
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5 ),
inference(backward_demodulation,[],[f57,f158]) ).
fof(f158,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl3_2
| ~ spl3_5 ),
inference(superposition,[],[f155,f48]) ).
fof(f48,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl3_2
<=> sk_c6 = multiply(sk_c1,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f155,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl3_5 ),
inference(forward_demodulation,[],[f154,f1]) ).
fof(f154,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl3_5 ),
inference(superposition,[],[f3,f143]) ).
fof(f143,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl3_5 ),
inference(superposition,[],[f2,f62]) ).
fof(f62,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl3_5
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f57,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f73,plain,
( sk_c5 = multiply(sk_c2,sk_c7)
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl3_7
<=> sk_c5 = multiply(sk_c2,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f164,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_9 ),
inference(backward_demodulation,[],[f83,f161]) ).
fof(f83,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f177,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_9 ),
inference(superposition,[],[f153,f164]) ).
fof(f179,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl3_6 ),
inference(superposition,[],[f153,f144]) ).
fof(f144,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl3_6 ),
inference(superposition,[],[f2,f68]) ).
fof(f196,plain,
( identity = inverse(sk_c2)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9 ),
inference(backward_demodulation,[],[f68,f194]) ).
fof(f307,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_18 ),
inference(trivial_inequality_removal,[],[f300]) ).
fof(f300,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_18 ),
inference(superposition,[],[f299,f1]) ).
fof(f299,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f298,f194]) ).
fof(f298,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| sk_c7 != inverse(X3) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f297,f207]) ).
fof(f207,plain,
( identity = sk_c6
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9 ),
inference(backward_demodulation,[],[f186,f194]) ).
fof(f297,plain,
( ! [X3] :
( sk_c6 != multiply(X3,identity)
| sk_c7 != inverse(X3) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f139,f194]) ).
fof(f296,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f295]) ).
fof(f295,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f294]) ).
fof(f294,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_17 ),
inference(superposition,[],[f290,f211]) ).
fof(f290,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f289,f211]) ).
fof(f289,plain,
( identity != inverse(inverse(identity))
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f284]) ).
fof(f284,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_17 ),
inference(superposition,[],[f271,f2]) ).
fof(f271,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f270,f194]) ).
fof(f270,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| identity != multiply(X4,identity) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f269,f201]) ).
fof(f201,plain,
( identity = sk_c5
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9 ),
inference(backward_demodulation,[],[f161,f194]) ).
fof(f269,plain,
( ! [X4] :
( sk_c5 != multiply(X4,identity)
| sk_c7 != inverse(X4) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f131,f194]) ).
fof(f268,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f267]) ).
fof(f267,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f266]) ).
fof(f266,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_15 ),
inference(superposition,[],[f264,f211]) ).
fof(f264,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f260]) ).
fof(f260,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_15 ),
inference(superposition,[],[f259,f1]) ).
fof(f259,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_15 ),
inference(forward_demodulation,[],[f258,f207]) ).
fof(f258,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c6 != multiply(X6,identity) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_15 ),
inference(forward_demodulation,[],[f257,f201]) ).
fof(f257,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c6 != multiply(X6,sk_c5) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_15 ),
inference(forward_demodulation,[],[f111,f207]) ).
fof(f256,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f255]) ).
fof(f255,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_12 ),
inference(trivial_inequality_removal,[],[f254]) ).
fof(f254,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_12 ),
inference(superposition,[],[f253,f211]) ).
fof(f253,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f252,f211]) ).
fof(f252,plain,
( identity != inverse(inverse(identity))
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_12 ),
inference(trivial_inequality_removal,[],[f250]) ).
fof(f250,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_12 ),
inference(superposition,[],[f247,f2]) ).
fof(f247,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f246,f194]) ).
fof(f246,plain,
( ! [X5] :
( sk_c7 != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f245,f207]) ).
fof(f245,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c7 != multiply(X5,sk_c6) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f99,f194]) ).
fof(f241,plain,
( spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9 ),
inference(avatar_contradiction_clause,[],[f240]) ).
fof(f240,plain,
( $false
| spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9 ),
inference(trivial_inequality_removal,[],[f239]) ).
fof(f239,plain,
( identity != identity
| spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9 ),
inference(superposition,[],[f223,f1]) ).
fof(f223,plain,
( identity != multiply(identity,identity)
| spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9 ),
inference(forward_demodulation,[],[f190,f194]) ).
fof(f190,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9 ),
inference(backward_demodulation,[],[f162,f186]) ).
fof(f162,plain,
( sk_c7 != multiply(sk_c6,sk_c7)
| spl3_1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5 ),
inference(backward_demodulation,[],[f43,f161]) ).
fof(f43,plain,
( sk_c5 != multiply(sk_c6,sk_c7)
| spl3_1 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f142,plain,
( spl3_4
| spl3_10 ),
inference(avatar_split_clause,[],[f6,f85,f55]) ).
fof(f6,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f141,plain,
( spl3_10
| spl3_2 ),
inference(avatar_split_clause,[],[f11,f46,f85]) ).
fof(f11,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f140,plain,
( spl3_18
| spl3_14 ),
inference(avatar_split_clause,[],[f35,f105,f138]) ).
fof(f105,plain,
( spl3_14
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f35,plain,
! [X3] :
( sP0
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) ),
inference(cnf_transformation,[],[f35_D]) ).
fof(f35_D,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f136,plain,
( spl3_2
| spl3_8 ),
inference(avatar_split_clause,[],[f12,f76,f46]) ).
fof(f12,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f135,plain,
( spl3_7
| spl3_10 ),
inference(avatar_split_clause,[],[f26,f85,f71]) ).
fof(f26,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c5 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f134,plain,
( spl3_1
| spl3_9 ),
inference(avatar_split_clause,[],[f19,f81,f42]) ).
fof(f19,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f133,plain,
( spl3_16
| spl3_4 ),
inference(avatar_split_clause,[],[f8,f55,f116]) ).
fof(f8,axiom,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f132,plain,
( spl3_11
| spl3_17 ),
inference(avatar_split_clause,[],[f39,f130,f94]) ).
fof(f94,plain,
( spl3_11
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f39,plain,
! [X4] :
( sk_c5 != multiply(X4,sk_c7)
| sP2
| sk_c7 != inverse(X4) ),
inference(cnf_transformation,[],[f39_D]) ).
fof(f39_D,plain,
( ! [X4] :
( sk_c5 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f128,plain,
( spl3_3
| spl3_6 ),
inference(avatar_split_clause,[],[f30,f66,f51]) ).
fof(f30,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f127,plain,
( spl3_10
| spl3_5 ),
inference(avatar_split_clause,[],[f16,f60,f85]) ).
fof(f16,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f126,plain,
( spl3_16
| spl3_5 ),
inference(avatar_split_clause,[],[f18,f60,f116]) ).
fof(f18,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f125,plain,
( spl3_9
| spl3_8 ),
inference(avatar_split_clause,[],[f22,f76,f81]) ).
fof(f22,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f124,plain,
( spl3_3
| spl3_5 ),
inference(avatar_split_clause,[],[f15,f60,f51]) ).
fof(f15,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f123,plain,
( spl3_6
| spl3_16 ),
inference(avatar_split_clause,[],[f33,f116,f66]) ).
fof(f33,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f122,plain,
( spl3_8
| spl3_5 ),
inference(avatar_split_clause,[],[f17,f60,f76]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f121,plain,
( spl3_2
| spl3_16 ),
inference(avatar_split_clause,[],[f13,f116,f46]) ).
fof(f13,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f120,plain,
( spl3_16
| spl3_7 ),
inference(avatar_split_clause,[],[f28,f71,f116]) ).
fof(f28,axiom,
( sk_c5 = multiply(sk_c2,sk_c7)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f119,plain,
( spl3_16
| spl3_9 ),
inference(avatar_split_clause,[],[f23,f81,f116]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f114,plain,
( spl3_3
| spl3_9 ),
inference(avatar_split_clause,[],[f20,f81,f51]) ).
fof(f20,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f113,plain,
( spl3_10
| spl3_6 ),
inference(avatar_split_clause,[],[f31,f66,f85]) ).
fof(f31,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f112,plain,
( spl3_13
| spl3_15 ),
inference(avatar_split_clause,[],[f37,f110,f101]) ).
fof(f101,plain,
( spl3_13
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f37,plain,
! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sP1
| sk_c6 != inverse(X6) ),
inference(cnf_transformation,[],[f37_D]) ).
fof(f37_D,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f108,plain,
( ~ spl3_11
| ~ spl3_9
| spl3_12
| ~ spl3_13
| ~ spl3_1
| ~ spl3_4
| ~ spl3_14 ),
inference(avatar_split_clause,[],[f40,f105,f55,f42,f101,f98,f81,f94]) ).
fof(f40,plain,
! [X5] :
( ~ sP0
| multiply(sk_c7,sk_c6) != sk_c5
| sk_c5 != multiply(sk_c6,sk_c7)
| ~ sP1
| sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(sk_c7,sk_c5)
| ~ sP2 ),
inference(general_splitting,[],[f38,f39_D]) ).
fof(f38,plain,
! [X4,X5] :
( sk_c5 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4)
| sk_c5 != multiply(sk_c6,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5
| sk_c7 != inverse(X5)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c7 != multiply(X5,sk_c6)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f36,f37_D]) ).
fof(f36,plain,
! [X6,X4,X5] :
( sk_c5 != multiply(X4,sk_c7)
| sk_c6 != inverse(X6)
| sk_c7 != inverse(X4)
| sk_c6 != multiply(X6,sk_c5)
| sk_c5 != multiply(sk_c6,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5
| sk_c7 != inverse(X5)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c7 != multiply(X5,sk_c6)
| ~ sP0 ),
inference(general_splitting,[],[f34,f35_D]) ).
fof(f34,axiom,
! [X3,X6,X4,X5] :
( sk_c5 != multiply(X4,sk_c7)
| sk_c7 != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c7 != inverse(X4)
| sk_c6 != multiply(X6,sk_c5)
| sk_c5 != multiply(sk_c6,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5
| sk_c7 != inverse(X5)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f92,plain,
( spl3_2
| spl3_3 ),
inference(avatar_split_clause,[],[f10,f51,f46]) ).
fof(f10,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f91,plain,
( spl3_4
| spl3_8 ),
inference(avatar_split_clause,[],[f7,f76,f55]) ).
fof(f7,axiom,
( sk_c6 = inverse(sk_c4)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f90,plain,
( spl3_7
| spl3_3 ),
inference(avatar_split_clause,[],[f25,f51,f71]) ).
fof(f25,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c5 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f89,plain,
( spl3_7
| spl3_8 ),
inference(avatar_split_clause,[],[f27,f76,f71]) ).
fof(f27,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c5 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f88,plain,
( spl3_9
| spl3_10 ),
inference(avatar_split_clause,[],[f21,f85,f81]) ).
fof(f21,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f79,plain,
( spl3_6
| spl3_8 ),
inference(avatar_split_clause,[],[f32,f76,f66]) ).
fof(f32,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f74,plain,
( spl3_7
| spl3_1 ),
inference(avatar_split_clause,[],[f24,f42,f71]) ).
fof(f24,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c5 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f69,plain,
( spl3_1
| spl3_6 ),
inference(avatar_split_clause,[],[f29,f66,f42]) ).
fof(f29,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f64,plain,
( spl3_1
| spl3_4 ),
inference(avatar_split_clause,[],[f4,f55,f42]) ).
fof(f4,axiom,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f63,plain,
( spl3_1
| spl3_5 ),
inference(avatar_split_clause,[],[f14,f60,f42]) ).
fof(f14,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f58,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f5,f55,f51]) ).
fof(f5,axiom,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f49,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f9,f46,f42]) ).
fof(f9,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP295-1 : 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
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:25:06 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (25400)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)
% 0.20/0.50 % (25386)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.51 % (25388)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)
% 0.20/0.51 % (25389)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)
% 0.20/0.52 % (25392)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)
% 0.20/0.52 % (25411)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.52 % (25391)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)
% 0.20/0.52 % (25409)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)
% 0.20/0.52 TRYING [1]
% 0.20/0.52 % (25406)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 % (25415)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52 TRYING [2]
% 0.20/0.53 % (25405)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (25410)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 TRYING [1]
% 1.37/0.53 TRYING [2]
% 1.37/0.53 TRYING [3]
% 1.37/0.53 TRYING [3]
% 1.37/0.53 % (25396)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.37/0.53 % (25412)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.37/0.53 % (25414)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.37/0.53 % (25416)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.37/0.53 % (25399)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.37/0.53 % (25394)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.37/0.53 % (25394)Instruction limit reached!
% 1.37/0.53 % (25394)------------------------------
% 1.37/0.53 % (25394)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.53 % (25394)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.53 % (25394)Termination reason: Unknown
% 1.37/0.53 % (25394)Termination phase: Saturation
% 1.37/0.53
% 1.37/0.53 % (25394)Memory used [KB]: 5500
% 1.37/0.53 % (25394)Time elapsed: 0.125 s
% 1.37/0.53 % (25394)Instructions burned: 3 (million)
% 1.37/0.53 % (25394)------------------------------
% 1.37/0.53 % (25394)------------------------------
% 1.37/0.53 % (25397)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.37/0.54 % (25413)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.37/0.54 TRYING [4]
% 1.37/0.54 % (25393)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.37/0.54 % (25401)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.37/0.54 % (25395)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.37/0.54 % (25398)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.48/0.54 % (25393)Instruction limit reached!
% 1.48/0.54 % (25393)------------------------------
% 1.48/0.54 % (25393)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.54 % (25393)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.54 % (25393)Termination reason: Unknown
% 1.48/0.54 % (25393)Termination phase: Saturation
% 1.48/0.54
% 1.48/0.54 % (25393)Memory used [KB]: 5500
% 1.48/0.54 % (25393)Time elapsed: 0.101 s
% 1.48/0.54 % (25393)Instructions burned: 7 (million)
% 1.48/0.54 % (25393)------------------------------
% 1.48/0.54 % (25393)------------------------------
% 1.48/0.55 % (25387)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.48/0.55 TRYING [4]
% 1.48/0.55 % (25408)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.48/0.55 % (25392)Instruction limit reached!
% 1.48/0.55 % (25392)------------------------------
% 1.48/0.55 % (25392)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.55 % (25392)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.55 % (25392)Termination reason: Unknown
% 1.48/0.55 % (25392)Termination phase: Finite model building SAT solving
% 1.48/0.55
% 1.48/0.55 % (25392)Memory used [KB]: 6908
% 1.48/0.55 % (25392)Time elapsed: 0.133 s
% 1.48/0.55 % (25392)Instructions burned: 54 (million)
% 1.48/0.55 % (25392)------------------------------
% 1.48/0.55 % (25392)------------------------------
% 1.48/0.55 % (25402)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.48/0.55 % (25407)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.48/0.55 % (25390)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.48/0.56 % (25404)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.48/0.56 TRYING [1]
% 1.48/0.56 TRYING [2]
% 1.48/0.56 % (25396)First to succeed.
% 1.48/0.57 % (25388)Instruction limit reached!
% 1.48/0.57 % (25388)------------------------------
% 1.48/0.57 % (25388)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.58 % (25388)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.58 % (25388)Termination reason: Unknown
% 1.48/0.58 % (25388)Termination phase: Saturation
% 1.48/0.58
% 1.48/0.58 % (25388)Memory used [KB]: 1151
% 1.48/0.58 % (25388)Time elapsed: 0.158 s
% 1.48/0.58 % (25388)Instructions burned: 37 (million)
% 1.48/0.58 % (25388)------------------------------
% 1.48/0.58 % (25388)------------------------------
% 1.48/0.58 % (25396)Refutation found. Thanks to Tanya!
% 1.48/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.48/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.48/0.58 % (25396)------------------------------
% 1.48/0.58 % (25396)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.58 % (25396)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.58 % (25396)Termination reason: Refutation
% 1.48/0.58
% 1.48/0.58 % (25396)Memory used [KB]: 5756
% 1.48/0.58 % (25396)Time elapsed: 0.165 s
% 1.48/0.58 % (25396)Instructions burned: 24 (million)
% 1.48/0.58 % (25396)------------------------------
% 1.48/0.58 % (25396)------------------------------
% 1.48/0.58 % (25383)Success in time 0.223 s
%------------------------------------------------------------------------------