TSTP Solution File: GRP280-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP280-1 : 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 : n020.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 16:21:08 EDT 2022
% Result : Unsatisfiable 0.21s 0.56s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 62
% Syntax : Number of formulae : 273 ( 7 unt; 0 def)
% Number of atoms : 1295 ( 334 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 2024 (1002 ~;1000 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 23 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 81 ( 81 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f644,plain,
$false,
inference(avatar_sat_refutation,[],[f57,f65,f74,f83,f92,f97,f105,f110,f111,f112,f117,f122,f123,f124,f125,f126,f127,f128,f129,f130,f131,f132,f133,f141,f142,f143,f144,f145,f146,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f160,f266,f283,f295,f307,f324,f457,f498,f577,f606,f632,f643]) ).
fof(f643,plain,
( ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_13
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f642]) ).
fof(f642,plain,
( $false
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_13
| ~ spl3_16 ),
inference(trivial_inequality_removal,[],[f641]) ).
fof(f641,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_13
| ~ spl3_16 ),
inference(superposition,[],[f640,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f640,plain,
( identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_13
| ~ spl3_16 ),
inference(forward_demodulation,[],[f639,f531]) ).
fof(f531,plain,
( identity = inverse(identity)
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_16 ),
inference(backward_demodulation,[],[f500,f529]) ).
fof(f529,plain,
( identity = sk_c1
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f504,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f504,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_16 ),
inference(backward_demodulation,[],[f361,f499]) ).
fof(f499,plain,
( identity = sk_c9
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f495,f2]) ).
fof(f495,plain,
( sk_c9 = multiply(inverse(sk_c9),sk_c9)
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_16 ),
inference(superposition,[],[f173,f398]) ).
fof(f398,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_16 ),
inference(backward_demodulation,[],[f386,f388]) ).
fof(f388,plain,
( sk_c9 = sk_c8
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_16 ),
inference(backward_demodulation,[],[f370,f386]) ).
fof(f370,plain,
( sk_c8 = multiply(sk_c9,sk_c8)
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_16 ),
inference(backward_demodulation,[],[f82,f369]) ).
fof(f369,plain,
( sk_c8 = sk_c3
| ~ spl3_1
| ~ spl3_6
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f368,f96]) ).
fof(f96,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl3_11
<=> sk_c8 = multiply(sk_c1,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f368,plain,
( multiply(sk_c1,sk_c9) = sk_c3
| ~ spl3_1
| ~ spl3_6
| ~ spl3_16 ),
inference(backward_demodulation,[],[f121,f364]) ).
fof(f364,plain,
( sk_c1 = sk_c2
| ~ spl3_1
| ~ spl3_6 ),
inference(backward_demodulation,[],[f326,f361]) ).
fof(f326,plain,
( sk_c2 = multiply(inverse(sk_c9),identity)
| ~ spl3_1 ),
inference(superposition,[],[f207,f52]) ).
fof(f52,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl3_1
<=> sk_c9 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f207,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f173,f2]) ).
fof(f121,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f119,plain,
( spl3_16
<=> sk_c3 = multiply(sk_c2,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f82,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl3_8
<=> sk_c8 = multiply(sk_c9,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f386,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl3_6
| ~ spl3_11 ),
inference(forward_demodulation,[],[f384,f73]) ).
fof(f73,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl3_6
<=> sk_c9 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f384,plain,
( sk_c9 = multiply(inverse(sk_c1),sk_c8)
| ~ spl3_11 ),
inference(superposition,[],[f173,f96]) ).
fof(f173,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f165,f1]) ).
fof(f165,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f361,plain,
( sk_c1 = multiply(inverse(sk_c9),identity)
| ~ spl3_6 ),
inference(superposition,[],[f207,f73]) ).
fof(f500,plain,
( identity = inverse(sk_c1)
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_16 ),
inference(backward_demodulation,[],[f73,f499]) ).
fof(f639,plain,
( identity != multiply(identity,inverse(identity))
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_13
| ~ spl3_16 ),
inference(trivial_inequality_removal,[],[f636]) ).
fof(f636,plain,
( identity != identity
| identity != multiply(identity,inverse(identity))
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_13
| ~ spl3_16 ),
inference(superposition,[],[f609,f2]) ).
fof(f609,plain,
( ! [X6] :
( identity != multiply(inverse(X6),identity)
| identity != multiply(X6,inverse(X6)) )
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_13
| ~ spl3_16 ),
inference(forward_demodulation,[],[f608,f499]) ).
fof(f608,plain,
( ! [X6] :
( identity != multiply(inverse(X6),identity)
| sk_c9 != multiply(X6,inverse(X6)) )
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_13
| ~ spl3_16 ),
inference(forward_demodulation,[],[f607,f499]) ).
fof(f607,plain,
( ! [X6] :
( sk_c9 != multiply(inverse(X6),identity)
| sk_c9 != multiply(X6,inverse(X6)) )
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_13
| ~ spl3_16 ),
inference(forward_demodulation,[],[f104,f508]) ).
fof(f508,plain,
( identity = sk_c8
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_16 ),
inference(backward_demodulation,[],[f388,f499]) ).
fof(f104,plain,
( ! [X6] :
( sk_c9 != multiply(inverse(X6),sk_c8)
| sk_c9 != multiply(X6,inverse(X6)) )
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl3_13
<=> ! [X6] :
( sk_c9 != multiply(X6,inverse(X6))
| sk_c9 != multiply(inverse(X6),sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f632,plain,
( ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| spl3_15
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f631]) ).
fof(f631,plain,
( $false
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| spl3_15
| ~ spl3_16 ),
inference(trivial_inequality_removal,[],[f630]) ).
fof(f630,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| spl3_15
| ~ spl3_16 ),
inference(superposition,[],[f621,f531]) ).
fof(f621,plain,
( identity != inverse(identity)
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| spl3_15
| ~ spl3_16 ),
inference(backward_demodulation,[],[f502,f614]) ).
fof(f614,plain,
( identity = sk_c6
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_16 ),
inference(superposition,[],[f2,f558]) ).
fof(f558,plain,
( ! [X0] : multiply(inverse(sk_c6),X0) = X0
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_16 ),
inference(superposition,[],[f173,f528]) ).
fof(f528,plain,
( ! [X12] : multiply(sk_c6,X12) = X12
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f515,f1]) ).
fof(f515,plain,
( ! [X12] : multiply(sk_c6,multiply(identity,X12)) = multiply(identity,X12)
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_16 ),
inference(backward_demodulation,[],[f395,f499]) ).
fof(f395,plain,
( ! [X12] : multiply(sk_c9,X12) = multiply(sk_c6,multiply(sk_c9,X12))
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_16 ),
inference(backward_demodulation,[],[f373,f388]) ).
fof(f373,plain,
( ! [X12] : multiply(sk_c6,multiply(sk_c9,X12)) = multiply(sk_c8,X12)
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_16 ),
inference(backward_demodulation,[],[f170,f371]) ).
fof(f371,plain,
( sk_c8 = sk_c7
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16 ),
inference(backward_demodulation,[],[f87,f370]) ).
fof(f87,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f85,plain,
( spl3_9
<=> multiply(sk_c9,sk_c8) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f170,plain,
( ! [X12] : multiply(sk_c6,multiply(sk_c9,X12)) = multiply(sk_c7,X12)
| ~ spl3_10 ),
inference(superposition,[],[f3,f91]) ).
fof(f91,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl3_10
<=> sk_c7 = multiply(sk_c6,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f502,plain,
( identity != inverse(sk_c6)
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| spl3_15
| ~ spl3_16 ),
inference(backward_demodulation,[],[f115,f499]) ).
fof(f115,plain,
( sk_c9 != inverse(sk_c6)
| spl3_15 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl3_15
<=> sk_c9 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f606,plain,
( ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_16
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f605]) ).
fof(f605,plain,
( $false
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_16
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f604]) ).
fof(f604,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_16
| ~ spl3_19 ),
inference(superposition,[],[f603,f531]) ).
fof(f603,plain,
( identity != inverse(identity)
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_16
| ~ spl3_19 ),
inference(forward_demodulation,[],[f602,f531]) ).
fof(f602,plain,
( identity != inverse(inverse(identity))
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_16
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f595]) ).
fof(f595,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_16
| ~ spl3_19 ),
inference(superposition,[],[f580,f2]) ).
fof(f580,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_16
| ~ spl3_19 ),
inference(forward_demodulation,[],[f579,f508]) ).
fof(f579,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c8 != multiply(X3,identity) )
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_16
| ~ spl3_19 ),
inference(forward_demodulation,[],[f578,f499]) ).
fof(f578,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c9)
| identity != inverse(X3) )
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_16
| ~ spl3_19 ),
inference(forward_demodulation,[],[f149,f499]) ).
fof(f149,plain,
( ! [X3] :
( sk_c9 != inverse(X3)
| sk_c8 != multiply(X3,sk_c9) )
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f148,plain,
( spl3_19
<=> ! [X3] :
( sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f577,plain,
( ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f576]) ).
fof(f576,plain,
( $false
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16 ),
inference(trivial_inequality_removal,[],[f575]) ).
fof(f575,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16 ),
inference(superposition,[],[f572,f531]) ).
fof(f572,plain,
( identity != inverse(identity)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16 ),
inference(trivial_inequality_removal,[],[f562]) ).
fof(f562,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16 ),
inference(superposition,[],[f542,f1]) ).
fof(f542,plain,
( ! [X8] :
( identity != multiply(X8,identity)
| identity != inverse(X8) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f541,f499]) ).
fof(f541,plain,
( ! [X8] :
( sk_c9 != inverse(X8)
| identity != multiply(X8,identity) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f540,f513]) ).
fof(f513,plain,
( identity = sk_c7
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16 ),
inference(backward_demodulation,[],[f393,f499]) ).
fof(f393,plain,
( sk_c9 = sk_c7
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16 ),
inference(backward_demodulation,[],[f371,f388]) ).
fof(f540,plain,
( ! [X8] :
( sk_c7 != multiply(X8,identity)
| sk_c9 != inverse(X8) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f64,f499]) ).
fof(f64,plain,
( ! [X8] :
( sk_c7 != multiply(X8,sk_c9)
| sk_c9 != inverse(X8) )
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl3_4
<=> ! [X8] :
( sk_c7 != multiply(X8,sk_c9)
| sk_c9 != inverse(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f498,plain,
( ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_16
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f497]) ).
fof(f497,plain,
( $false
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_16
| ~ spl3_18 ),
inference(trivial_inequality_removal,[],[f493]) ).
fof(f493,plain,
( sk_c9 != sk_c9
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_16
| ~ spl3_18 ),
inference(superposition,[],[f489,f398]) ).
fof(f489,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_16
| ~ spl3_18 ),
inference(trivial_inequality_removal,[],[f488]) ).
fof(f488,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| sk_c9 != sk_c9
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_16
| ~ spl3_18 ),
inference(forward_demodulation,[],[f478,f73]) ).
fof(f478,plain,
( sk_c9 != inverse(sk_c1)
| sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_16
| ~ spl3_18 ),
inference(superposition,[],[f458,f390]) ).
fof(f390,plain,
( sk_c9 = multiply(sk_c1,sk_c9)
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_16 ),
inference(backward_demodulation,[],[f96,f388]) ).
fof(f458,plain,
( ! [X5] :
( sk_c9 != multiply(sk_c9,multiply(X5,sk_c9))
| sk_c9 != inverse(X5) )
| ~ spl3_1
| ~ spl3_6
| ~ spl3_8
| ~ spl3_11
| ~ spl3_16
| ~ spl3_18 ),
inference(forward_demodulation,[],[f140,f388]) ).
fof(f140,plain,
( ! [X5] :
( sk_c9 != inverse(X5)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9)) )
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f139,plain,
( spl3_18
<=> ! [X5] :
( sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| sk_c9 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f457,plain,
( ~ spl3_1
| spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f456]) ).
fof(f456,plain,
( $false
| ~ spl3_1
| spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16 ),
inference(trivial_inequality_removal,[],[f455]) ).
fof(f455,plain,
( sk_c9 != sk_c9
| ~ spl3_1
| spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16 ),
inference(superposition,[],[f387,f388]) ).
fof(f387,plain,
( sk_c9 != sk_c8
| ~ spl3_1
| spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16 ),
inference(backward_demodulation,[],[f374,f386]) ).
fof(f374,plain,
( sk_c8 != multiply(sk_c9,sk_c8)
| ~ spl3_1
| spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_11
| ~ spl3_16 ),
inference(backward_demodulation,[],[f68,f371]) ).
fof(f68,plain,
( sk_c8 != multiply(sk_c9,sk_c7)
| spl3_5 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl3_5
<=> sk_c8 = multiply(sk_c9,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f324,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f323]) ).
fof(f323,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f322]) ).
fof(f322,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(superposition,[],[f320,f244]) ).
fof(f244,plain,
( identity = inverse(identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(backward_demodulation,[],[f229,f241]) ).
fof(f241,plain,
( identity = sk_c4
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(forward_demodulation,[],[f237,f2]) ).
fof(f237,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(backward_demodulation,[],[f211,f218]) ).
fof(f218,plain,
( identity = sk_c9
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(forward_demodulation,[],[f210,f2]) ).
fof(f210,plain,
( sk_c9 = multiply(inverse(sk_c9),sk_c9)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(superposition,[],[f173,f195]) ).
fof(f195,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(backward_demodulation,[],[f186,f188]) ).
fof(f188,plain,
( sk_c9 = sk_c5
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(backward_demodulation,[],[f176,f186]) ).
fof(f176,plain,
( sk_c5 = multiply(sk_c5,sk_c9)
| ~ spl3_7
| ~ spl3_14 ),
inference(superposition,[],[f172,f78]) ).
fof(f78,plain,
( sk_c9 = multiply(sk_c4,sk_c5)
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl3_7
<=> sk_c9 = multiply(sk_c4,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f172,plain,
( ! [X11] : multiply(sk_c5,multiply(sk_c4,X11)) = X11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f169,f1]) ).
fof(f169,plain,
( ! [X11] : multiply(identity,X11) = multiply(sk_c5,multiply(sk_c4,X11))
| ~ spl3_14 ),
inference(superposition,[],[f3,f161]) ).
fof(f161,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl3_14 ),
inference(superposition,[],[f2,f109]) ).
fof(f109,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl3_14
<=> sk_c5 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f186,plain,
( sk_c9 = multiply(sk_c5,sk_c9)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_10
| ~ spl3_15 ),
inference(backward_demodulation,[],[f56,f183]) ).
fof(f183,plain,
( sk_c9 = sk_c8
| ~ spl3_5
| ~ spl3_10
| ~ spl3_15 ),
inference(backward_demodulation,[],[f69,f180]) ).
fof(f180,plain,
( sk_c9 = multiply(sk_c9,sk_c7)
| ~ spl3_10
| ~ spl3_15 ),
inference(superposition,[],[f175,f91]) ).
fof(f175,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
| ~ spl3_15 ),
inference(forward_demodulation,[],[f174,f1]) ).
fof(f174,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c6,X0))
| ~ spl3_15 ),
inference(superposition,[],[f3,f162]) ).
fof(f162,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl3_15 ),
inference(superposition,[],[f2,f116]) ).
fof(f116,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f69,plain,
( sk_c8 = multiply(sk_c9,sk_c7)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f56,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f54,plain,
( spl3_2
<=> sk_c9 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f211,plain,
( sk_c4 = multiply(inverse(sk_c9),identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(superposition,[],[f173,f191]) ).
fof(f191,plain,
( identity = multiply(sk_c9,sk_c4)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(backward_demodulation,[],[f161,f188]) ).
fof(f229,plain,
( identity = inverse(sk_c4)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(backward_demodulation,[],[f190,f218]) ).
fof(f190,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(backward_demodulation,[],[f109,f188]) ).
fof(f320,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f315]) ).
fof(f315,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(superposition,[],[f310,f1]) ).
fof(f310,plain,
( ! [X8] :
( identity != multiply(X8,identity)
| identity != inverse(X8) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(forward_demodulation,[],[f309,f253]) ).
fof(f253,plain,
( identity = sk_c7
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(backward_demodulation,[],[f219,f251]) ).
fof(f251,plain,
( ! [X7] : multiply(sk_c6,X7) = X7
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(forward_demodulation,[],[f250,f1]) ).
fof(f250,plain,
( ! [X7] : multiply(sk_c6,X7) = multiply(identity,X7)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(forward_demodulation,[],[f236,f244]) ).
fof(f236,plain,
( ! [X7] : multiply(sk_c6,X7) = multiply(inverse(identity),X7)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(backward_demodulation,[],[f209,f218]) ).
fof(f209,plain,
( ! [X7] : multiply(inverse(sk_c9),X7) = multiply(sk_c6,X7)
| ~ spl3_15 ),
inference(superposition,[],[f173,f175]) ).
fof(f219,plain,
( sk_c7 = multiply(sk_c6,identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(backward_demodulation,[],[f91,f218]) ).
fof(f309,plain,
( ! [X8] :
( sk_c7 != multiply(X8,identity)
| identity != inverse(X8) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(forward_demodulation,[],[f308,f218]) ).
fof(f308,plain,
( ! [X8] :
( sk_c9 != inverse(X8)
| sk_c7 != multiply(X8,identity) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(forward_demodulation,[],[f64,f218]) ).
fof(f307,plain,
( ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f306]) ).
fof(f306,plain,
( $false
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f305]) ).
fof(f305,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15
| ~ spl3_19 ),
inference(superposition,[],[f304,f244]) ).
fof(f304,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15
| ~ spl3_19 ),
inference(forward_demodulation,[],[f303,f244]) ).
fof(f303,plain,
( identity != inverse(inverse(identity))
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f301]) ).
fof(f301,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15
| ~ spl3_19 ),
inference(superposition,[],[f298,f2]) ).
fof(f298,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15
| ~ spl3_19 ),
inference(forward_demodulation,[],[f297,f225]) ).
fof(f225,plain,
( identity = sk_c8
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(backward_demodulation,[],[f183,f218]) ).
fof(f297,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c8 != multiply(X3,identity) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15
| ~ spl3_19 ),
inference(forward_demodulation,[],[f296,f218]) ).
fof(f296,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c9)
| identity != inverse(X3) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15
| ~ spl3_19 ),
inference(forward_demodulation,[],[f149,f218]) ).
fof(f295,plain,
( ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f294]) ).
fof(f294,plain,
( $false
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15
| ~ spl3_18 ),
inference(trivial_inequality_removal,[],[f293]) ).
fof(f293,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15
| ~ spl3_18 ),
inference(superposition,[],[f292,f1]) ).
fof(f292,plain,
( identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15
| ~ spl3_18 ),
inference(trivial_inequality_removal,[],[f291]) ).
fof(f291,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15
| ~ spl3_18 ),
inference(forward_demodulation,[],[f287,f244]) ).
fof(f287,plain,
( identity != inverse(identity)
| identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15
| ~ spl3_18 ),
inference(superposition,[],[f286,f1]) ).
fof(f286,plain,
( ! [X5] :
( identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15
| ~ spl3_18 ),
inference(forward_demodulation,[],[f285,f225]) ).
fof(f285,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c8 != multiply(identity,multiply(X5,identity)) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15
| ~ spl3_18 ),
inference(forward_demodulation,[],[f284,f218]) ).
fof(f284,plain,
( ! [X5] :
( sk_c9 != inverse(X5)
| sk_c8 != multiply(identity,multiply(X5,identity)) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15
| ~ spl3_18 ),
inference(forward_demodulation,[],[f140,f218]) ).
fof(f283,plain,
( ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_13
| ~ spl3_14
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f282]) ).
fof(f282,plain,
( $false
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_13
| ~ spl3_14
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f281]) ).
fof(f281,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_13
| ~ spl3_14
| ~ spl3_15 ),
inference(superposition,[],[f280,f1]) ).
fof(f280,plain,
( identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_13
| ~ spl3_14
| ~ spl3_15 ),
inference(forward_demodulation,[],[f279,f244]) ).
fof(f279,plain,
( identity != multiply(identity,inverse(identity))
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_13
| ~ spl3_14
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f277]) ).
fof(f277,plain,
( identity != identity
| identity != multiply(identity,inverse(identity))
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_13
| ~ spl3_14
| ~ spl3_15 ),
inference(superposition,[],[f269,f2]) ).
fof(f269,plain,
( ! [X6] :
( identity != multiply(inverse(X6),identity)
| identity != multiply(X6,inverse(X6)) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_13
| ~ spl3_14
| ~ spl3_15 ),
inference(forward_demodulation,[],[f268,f218]) ).
fof(f268,plain,
( ! [X6] :
( sk_c9 != multiply(inverse(X6),identity)
| identity != multiply(X6,inverse(X6)) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_13
| ~ spl3_14
| ~ spl3_15 ),
inference(forward_demodulation,[],[f267,f225]) ).
fof(f267,plain,
( ! [X6] :
( identity != multiply(X6,inverse(X6))
| sk_c9 != multiply(inverse(X6),sk_c8) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_13
| ~ spl3_14
| ~ spl3_15 ),
inference(forward_demodulation,[],[f104,f218]) ).
fof(f266,plain,
( ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f265]) ).
fof(f265,plain,
( $false
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f264]) ).
fof(f264,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(superposition,[],[f235,f253]) ).
fof(f235,plain,
( identity != sk_c7
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(backward_demodulation,[],[f197,f218]) ).
fof(f197,plain,
( sk_c9 != sk_c7
| ~ spl3_2
| ~ spl3_5
| ~ spl3_7
| spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(forward_demodulation,[],[f187,f195]) ).
fof(f187,plain,
( sk_c7 != multiply(sk_c9,sk_c9)
| ~ spl3_5
| spl3_9
| ~ spl3_10
| ~ spl3_15 ),
inference(backward_demodulation,[],[f86,f183]) ).
fof(f86,plain,
( multiply(sk_c9,sk_c8) != sk_c7
| spl3_9 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f160,plain,
( spl3_10
| spl3_16 ),
inference(avatar_split_clause,[],[f32,f119,f89]) ).
fof(f32,axiom,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c7 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f159,plain,
( spl3_11
| spl3_5 ),
inference(avatar_split_clause,[],[f10,f67,f94]) ).
fof(f10,axiom,
( sk_c8 = multiply(sk_c9,sk_c7)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f158,plain,
( spl3_11
| spl3_14 ),
inference(avatar_split_clause,[],[f12,f107,f94]) ).
fof(f12,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f157,plain,
( spl3_14
| spl3_8 ),
inference(avatar_split_clause,[],[f24,f80,f107]) ).
fof(f24,axiom,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f156,plain,
( spl3_7
| spl3_11 ),
inference(avatar_split_clause,[],[f11,f94,f76]) ).
fof(f11,axiom,
( sk_c8 = multiply(sk_c1,sk_c9)
| sk_c9 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f155,plain,
( spl3_6
| spl3_7 ),
inference(avatar_split_clause,[],[f17,f76,f71]) ).
fof(f17,axiom,
( sk_c9 = multiply(sk_c4,sk_c5)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f154,plain,
( spl3_1
| spl3_15 ),
inference(avatar_split_clause,[],[f39,f114,f50]) ).
fof(f39,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f153,plain,
( spl3_1
| spl3_5 ),
inference(avatar_split_clause,[],[f34,f67,f50]) ).
fof(f34,axiom,
( sk_c8 = multiply(sk_c9,sk_c7)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f152,plain,
( spl3_7
| spl3_1 ),
inference(avatar_split_clause,[],[f35,f50,f76]) ).
fof(f35,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c9 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f151,plain,
( spl3_2
| spl3_8 ),
inference(avatar_split_clause,[],[f25,f80,f54]) ).
fof(f25,axiom,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f150,plain,
( spl3_17
| spl3_19 ),
inference(avatar_split_clause,[],[f43,f148,f135]) ).
fof(f135,plain,
( spl3_17
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f43,plain,
! [X3] :
( sk_c8 != multiply(X3,sk_c9)
| sP0
| sk_c9 != inverse(X3) ),
inference(cnf_transformation,[],[f43_D]) ).
fof(f43_D,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f146,plain,
( spl3_8
| spl3_5 ),
inference(avatar_split_clause,[],[f22,f67,f80]) ).
fof(f22,axiom,
( sk_c8 = multiply(sk_c9,sk_c7)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f145,plain,
( spl3_1
| spl3_10 ),
inference(avatar_split_clause,[],[f38,f89,f50]) ).
fof(f38,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f144,plain,
( spl3_11
| spl3_15 ),
inference(avatar_split_clause,[],[f15,f114,f94]) ).
fof(f15,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f143,plain,
( spl3_9
| spl3_7 ),
inference(avatar_split_clause,[],[f5,f76,f85]) ).
fof(f5,axiom,
( sk_c9 = multiply(sk_c4,sk_c5)
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f142,plain,
( spl3_9
| spl3_14 ),
inference(avatar_split_clause,[],[f6,f107,f85]) ).
fof(f6,axiom,
( sk_c5 = inverse(sk_c4)
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f141,plain,
( ~ spl3_3
| ~ spl3_12
| ~ spl3_5
| ~ spl3_17
| ~ spl3_9
| spl3_18 ),
inference(avatar_split_clause,[],[f48,f139,f85,f135,f67,f99,f59]) ).
fof(f59,plain,
( spl3_3
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f99,plain,
( spl3_12
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f48,plain,
! [X5] :
( sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| multiply(sk_c9,sk_c8) != sk_c7
| ~ sP0
| sk_c8 != multiply(sk_c9,sk_c7)
| sk_c9 != inverse(X5)
| ~ sP2
| ~ sP1 ),
inference(general_splitting,[],[f46,f47_D]) ).
fof(f47,plain,
! [X6] :
( sk_c9 != multiply(X6,inverse(X6))
| sk_c9 != multiply(inverse(X6),sk_c8)
| sP2 ),
inference(cnf_transformation,[],[f47_D]) ).
fof(f47_D,plain,
( ! [X6] :
( sk_c9 != multiply(X6,inverse(X6))
| sk_c9 != multiply(inverse(X6),sk_c8) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f46,plain,
! [X6,X5] :
( sk_c9 != inverse(X5)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| sk_c8 != multiply(sk_c9,sk_c7)
| multiply(sk_c9,sk_c8) != sk_c7
| sk_c9 != multiply(X6,inverse(X6))
| sk_c9 != multiply(inverse(X6),sk_c8)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f44,f45_D]) ).
fof(f45,plain,
! [X8] :
( sk_c7 != multiply(X8,sk_c9)
| sP1
| sk_c9 != inverse(X8) ),
inference(cnf_transformation,[],[f45_D]) ).
fof(f45_D,plain,
( ! [X8] :
( sk_c7 != multiply(X8,sk_c9)
| sk_c9 != inverse(X8) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f44,plain,
! [X8,X6,X5] :
( sk_c9 != inverse(X5)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| sk_c8 != multiply(sk_c9,sk_c7)
| multiply(sk_c9,sk_c8) != sk_c7
| sk_c9 != multiply(X6,inverse(X6))
| sk_c7 != multiply(X8,sk_c9)
| sk_c9 != multiply(inverse(X6),sk_c8)
| sk_c9 != inverse(X8)
| ~ sP0 ),
inference(general_splitting,[],[f42,f43_D]) ).
fof(f42,plain,
! [X3,X8,X6,X5] :
( sk_c9 != inverse(X5)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| sk_c8 != multiply(sk_c9,sk_c7)
| sk_c8 != multiply(X3,sk_c9)
| multiply(sk_c9,sk_c8) != sk_c7
| sk_c9 != inverse(X3)
| sk_c9 != multiply(X6,inverse(X6))
| sk_c7 != multiply(X8,sk_c9)
| sk_c9 != multiply(inverse(X6),sk_c8)
| sk_c9 != inverse(X8) ),
inference(equality_resolution,[],[f41]) ).
fof(f41,plain,
! [X3,X8,X6,X4,X5] :
( sk_c9 != inverse(X5)
| sk_c8 != multiply(sk_c9,X4)
| multiply(X5,sk_c9) != X4
| sk_c8 != multiply(sk_c9,sk_c7)
| sk_c8 != multiply(X3,sk_c9)
| multiply(sk_c9,sk_c8) != sk_c7
| sk_c9 != inverse(X3)
| sk_c9 != multiply(X6,inverse(X6))
| sk_c7 != multiply(X8,sk_c9)
| sk_c9 != multiply(inverse(X6),sk_c8)
| sk_c9 != inverse(X8) ),
inference(equality_resolution,[],[f40]) ).
fof(f40,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c9 != inverse(X5)
| sk_c8 != multiply(sk_c9,X4)
| inverse(X6) != X7
| multiply(X5,sk_c9) != X4
| sk_c8 != multiply(sk_c9,sk_c7)
| sk_c8 != multiply(X3,sk_c9)
| multiply(sk_c9,sk_c8) != sk_c7
| sk_c9 != inverse(X3)
| sk_c9 != multiply(X6,X7)
| sk_c7 != multiply(X8,sk_c9)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != inverse(X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f133,plain,
( spl3_16
| spl3_15 ),
inference(avatar_split_clause,[],[f33,f114,f119]) ).
fof(f33,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f132,plain,
( spl3_10
| spl3_8 ),
inference(avatar_split_clause,[],[f26,f80,f89]) ).
fof(f26,axiom,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c7 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f131,plain,
( spl3_9
| spl3_5 ),
inference(avatar_split_clause,[],[f4,f67,f85]) ).
fof(f4,axiom,
( sk_c8 = multiply(sk_c9,sk_c7)
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f130,plain,
( spl3_2
| spl3_16 ),
inference(avatar_split_clause,[],[f31,f119,f54]) ).
fof(f31,axiom,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f129,plain,
( spl3_15
| spl3_9 ),
inference(avatar_split_clause,[],[f9,f85,f114]) ).
fof(f9,axiom,
( multiply(sk_c9,sk_c8) = sk_c7
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f128,plain,
( spl3_11
| spl3_2 ),
inference(avatar_split_clause,[],[f13,f54,f94]) ).
fof(f13,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f127,plain,
( spl3_14
| spl3_1 ),
inference(avatar_split_clause,[],[f36,f50,f107]) ).
fof(f36,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f126,plain,
( spl3_2
| spl3_9 ),
inference(avatar_split_clause,[],[f7,f85,f54]) ).
fof(f7,axiom,
( multiply(sk_c9,sk_c8) = sk_c7
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f125,plain,
( spl3_6
| spl3_15 ),
inference(avatar_split_clause,[],[f21,f114,f71]) ).
fof(f21,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f124,plain,
( spl3_5
| spl3_16 ),
inference(avatar_split_clause,[],[f28,f119,f67]) ).
fof(f28,axiom,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c8 = multiply(sk_c9,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f123,plain,
( spl3_16
| spl3_14 ),
inference(avatar_split_clause,[],[f30,f107,f119]) ).
fof(f30,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f122,plain,
( spl3_7
| spl3_16 ),
inference(avatar_split_clause,[],[f29,f119,f76]) ).
fof(f29,axiom,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f117,plain,
( spl3_8
| spl3_15 ),
inference(avatar_split_clause,[],[f27,f114,f80]) ).
fof(f27,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f112,plain,
( spl3_6
| spl3_2 ),
inference(avatar_split_clause,[],[f19,f54,f71]) ).
fof(f19,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f111,plain,
( spl3_10
| spl3_6 ),
inference(avatar_split_clause,[],[f20,f71,f89]) ).
fof(f20,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c7 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f110,plain,
( spl3_14
| spl3_6 ),
inference(avatar_split_clause,[],[f18,f71,f107]) ).
fof(f18,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f105,plain,
( spl3_12
| spl3_13 ),
inference(avatar_split_clause,[],[f47,f103,f99]) ).
fof(f97,plain,
( spl3_11
| spl3_10 ),
inference(avatar_split_clause,[],[f14,f89,f94]) ).
fof(f14,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f92,plain,
( spl3_9
| spl3_10 ),
inference(avatar_split_clause,[],[f8,f89,f85]) ).
fof(f8,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f83,plain,
( spl3_7
| spl3_8 ),
inference(avatar_split_clause,[],[f23,f80,f76]) ).
fof(f23,axiom,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c9 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f74,plain,
( spl3_5
| spl3_6 ),
inference(avatar_split_clause,[],[f16,f71,f67]) ).
fof(f16,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c8 = multiply(sk_c9,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f65,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f45,f63,f59]) ).
fof(f57,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f37,f54,f50]) ).
fof(f37,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP280-1 : TPTP v8.1.0. Released v2.5.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 29 22:27:45 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.51 % (31708)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.51 % (31705)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.51 % (31704)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)
% 0.21/0.52 % (31695)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)
% 0.21/0.52 % (31699)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (31698)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)
% 0.21/0.52 % (31700)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)
% 0.21/0.52 % (31707)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.53 % (31722)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)
% 0.21/0.53 % (31706)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)
% 0.21/0.53 % (31716)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.53 % (31697)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)
% 0.21/0.53 % (31696)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)
% 0.21/0.53 % (31717)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)
% 0.21/0.53 % (31709)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)
% 0.21/0.54 % (31718)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)
% 0.21/0.54 % (31720)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.54 % (31715)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)
% 0.21/0.54 TRYING [1]
% 0.21/0.54 TRYING [2]
% 0.21/0.54 % (31721)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)
% 0.21/0.54 % (31724)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)
% 0.21/0.54 % (31701)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)
% 0.21/0.54 TRYING [3]
% 0.21/0.54 % (31719)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.55 % (31713)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.55 % (31714)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)
% 0.21/0.55 % (31710)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)
% 0.21/0.55 % (31711)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)
% 0.21/0.55 % (31723)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.55 % (31712)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.55 % (31702)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.55 % (31703)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.55 % (31703)Instruction limit reached!
% 0.21/0.55 % (31703)------------------------------
% 0.21/0.55 % (31703)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (31703)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (31703)Termination reason: Unknown
% 0.21/0.55 % (31703)Termination phase: Property scanning
% 0.21/0.55
% 0.21/0.55 % (31703)Memory used [KB]: 895
% 0.21/0.55 % (31703)Time elapsed: 0.002 s
% 0.21/0.55 % (31703)Instructions burned: 2 (million)
% 0.21/0.55 % (31703)------------------------------
% 0.21/0.55 % (31703)------------------------------
% 0.21/0.55 TRYING [1]
% 0.21/0.55 TRYING [2]
% 0.21/0.56 TRYING [3]
% 0.21/0.56 % (31702)Instruction limit reached!
% 0.21/0.56 % (31702)------------------------------
% 0.21/0.56 % (31702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (31702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (31702)Termination reason: Unknown
% 0.21/0.56 % (31702)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (31702)Memory used [KB]: 5500
% 0.21/0.56 % (31702)Time elapsed: 0.161 s
% 0.21/0.56 % (31702)Instructions burned: 8 (million)
% 0.21/0.56 % (31702)------------------------------
% 0.21/0.56 % (31702)------------------------------
% 0.21/0.56 % (31705)First to succeed.
% 0.21/0.56 % (31705)Refutation found. Thanks to Tanya!
% 0.21/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.56 % (31705)------------------------------
% 0.21/0.56 % (31705)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (31705)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (31705)Termination reason: Refutation
% 0.21/0.56
% 0.21/0.56 % (31705)Memory used [KB]: 5756
% 0.21/0.56 % (31705)Time elapsed: 0.158 s
% 0.21/0.56 % (31705)Instructions burned: 19 (million)
% 0.21/0.56 % (31705)------------------------------
% 0.21/0.56 % (31705)------------------------------
% 0.21/0.56 % (31694)Success in time 0.206 s
%------------------------------------------------------------------------------