TSTP Solution File: GRP320-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP320-1 : 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 : n008.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 16:21:17 EDT 2022
% Result : Unsatisfiable 0.18s 0.57s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 54
% Syntax : Number of formulae : 282 ( 7 unt; 0 def)
% Number of atoms : 1266 ( 326 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 1955 ( 971 ~; 962 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 23 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 75 ( 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f618,plain,
$false,
inference(avatar_sat_refutation,[],[f49,f58,f67,f72,f81,f86,f87,f92,f93,f98,f103,f104,f105,f106,f118,f119,f120,f121,f122,f123,f124,f125,f126,f127,f131,f132,f135,f139,f140,f141,f142,f143,f202,f247,f254,f261,f268,f299,f475,f495,f532,f545,f547,f576,f588,f607,f617]) ).
fof(f617,plain,
( ~ spl3_3
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_18
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f616]) ).
fof(f616,plain,
( $false
| ~ spl3_3
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_18
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f615,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f615,plain,
( identity != multiply(identity,identity)
| ~ spl3_3
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_18
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f614]) ).
fof(f614,plain,
( identity != multiply(identity,identity)
| identity != identity
| ~ spl3_3
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_18
| ~ spl3_19 ),
inference(superposition,[],[f610,f554]) ).
fof(f554,plain,
( identity = inverse(identity)
| ~ spl3_3
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(backward_demodulation,[],[f540,f548]) ).
fof(f548,plain,
( identity = sk_c4
| ~ spl3_3
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(forward_demodulation,[],[f538,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f538,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl3_3
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(backward_demodulation,[],[f507,f522]) ).
fof(f522,plain,
( identity = sk_c7
| ~ spl3_3
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(forward_demodulation,[],[f500,f517]) ).
fof(f517,plain,
( identity = multiply(sk_c4,sk_c7)
| ~ spl3_3
| ~ spl3_8
| ~ spl3_12
| ~ spl3_19 ),
inference(backward_demodulation,[],[f485,f512]) ).
fof(f512,plain,
( sk_c4 = sk_c5
| ~ spl3_8
| ~ spl3_12
| ~ spl3_19 ),
inference(backward_demodulation,[],[f329,f507]) ).
fof(f329,plain,
( sk_c5 = multiply(inverse(sk_c7),identity)
| ~ spl3_8 ),
inference(superposition,[],[f153,f305]) ).
fof(f305,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl3_8 ),
inference(superposition,[],[f2,f76]) ).
fof(f76,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f74,plain,
( spl3_8
<=> sk_c7 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f153,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f148,f1]) ).
fof(f148,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f485,plain,
( identity = multiply(sk_c5,sk_c7)
| ~ spl3_3
| ~ spl3_8 ),
inference(backward_demodulation,[],[f53,f484]) ).
fof(f484,plain,
( identity = sk_c6
| ~ spl3_3
| ~ spl3_8 ),
inference(forward_demodulation,[],[f482,f2]) ).
fof(f482,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl3_3
| ~ spl3_8 ),
inference(superposition,[],[f153,f312]) ).
fof(f312,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl3_3
| ~ spl3_8 ),
inference(forward_demodulation,[],[f310,f76]) ).
fof(f310,plain,
( sk_c7 = multiply(inverse(sk_c5),sk_c6)
| ~ spl3_3 ),
inference(superposition,[],[f153,f53]) ).
fof(f53,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f51,plain,
( spl3_3
<=> sk_c6 = multiply(sk_c5,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f500,plain,
( sk_c7 = multiply(sk_c4,sk_c7)
| ~ spl3_13
| ~ spl3_19 ),
inference(backward_demodulation,[],[f102,f467]) ).
fof(f467,plain,
( sk_c7 = sk_c8
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f466,plain,
( spl3_19
<=> sk_c7 = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f102,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f100,plain,
( spl3_13
<=> sk_c7 = multiply(sk_c4,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f507,plain,
( sk_c4 = multiply(inverse(sk_c7),identity)
| ~ spl3_12
| ~ spl3_19 ),
inference(backward_demodulation,[],[f354,f467]) ).
fof(f354,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl3_12 ),
inference(superposition,[],[f153,f309]) ).
fof(f309,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl3_12 ),
inference(superposition,[],[f2,f97]) ).
fof(f97,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl3_12
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f540,plain,
( identity = inverse(sk_c4)
| ~ spl3_3
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(backward_demodulation,[],[f513,f522]) ).
fof(f513,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl3_8
| ~ spl3_12
| ~ spl3_19 ),
inference(backward_demodulation,[],[f76,f512]) ).
fof(f610,plain,
( ! [X3] :
( identity != inverse(X3)
| identity != multiply(X3,identity) )
| ~ spl3_3
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_18
| ~ spl3_19 ),
inference(forward_demodulation,[],[f609,f537]) ).
fof(f537,plain,
( identity = sk_c8
| ~ spl3_3
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(backward_demodulation,[],[f467,f522]) ).
fof(f609,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c8 != multiply(X3,identity) )
| ~ spl3_3
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_18
| ~ spl3_19 ),
inference(forward_demodulation,[],[f608,f522]) ).
fof(f608,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c8 != multiply(X3,identity) )
| ~ spl3_3
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_18
| ~ spl3_19 ),
inference(forward_demodulation,[],[f138,f522]) ).
fof(f138,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl3_18
<=> ! [X3] :
( sk_c7 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f607,plain,
( ~ spl3_3
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f606]) ).
fof(f606,plain,
( $false
| ~ spl3_3
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f605,f1]) ).
fof(f605,plain,
( identity != multiply(identity,identity)
| ~ spl3_3
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16
| ~ spl3_19 ),
inference(forward_demodulation,[],[f604,f1]) ).
fof(f604,plain,
( identity != multiply(identity,multiply(identity,identity))
| ~ spl3_3
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f603]) ).
fof(f603,plain,
( identity != identity
| identity != multiply(identity,multiply(identity,identity))
| ~ spl3_3
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16
| ~ spl3_19 ),
inference(superposition,[],[f594,f554]) ).
fof(f594,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != multiply(identity,multiply(X5,identity)) )
| ~ spl3_3
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16
| ~ spl3_19 ),
inference(forward_demodulation,[],[f593,f537]) ).
fof(f593,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| identity != multiply(identity,multiply(X5,identity)) )
| ~ spl3_3
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16
| ~ spl3_19 ),
inference(forward_demodulation,[],[f592,f522]) ).
fof(f592,plain,
( ! [X5] :
( sk_c7 != multiply(identity,multiply(X5,identity))
| sk_c8 != inverse(X5) )
| ~ spl3_3
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16
| ~ spl3_19 ),
inference(forward_demodulation,[],[f117,f537]) ).
fof(f117,plain,
( ! [X5] :
( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) )
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f116,plain,
( spl3_16
<=> ! [X5] :
( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f588,plain,
( ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f587]) ).
fof(f587,plain,
( $false
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f586,f1]) ).
fof(f586,plain,
( identity != multiply(identity,identity)
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16
| ~ spl3_19 ),
inference(forward_demodulation,[],[f585,f1]) ).
fof(f585,plain,
( identity != multiply(identity,multiply(identity,identity))
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f584]) ).
fof(f584,plain,
( identity != multiply(identity,multiply(identity,identity))
| identity != identity
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16
| ~ spl3_19 ),
inference(superposition,[],[f579,f554]) ).
fof(f579,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != multiply(identity,multiply(X5,identity)) )
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16
| ~ spl3_19 ),
inference(forward_demodulation,[],[f578,f561]) ).
fof(f561,plain,
( identity = sk_c8
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(forward_demodulation,[],[f560,f1]) ).
fof(f560,plain,
( sk_c8 = multiply(identity,identity)
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(forward_demodulation,[],[f559,f551]) ).
fof(f551,plain,
( identity = sk_c1
| ~ spl3_3
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(backward_demodulation,[],[f516,f548]) ).
fof(f516,plain,
( sk_c4 = sk_c1
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_19 ),
inference(backward_demodulation,[],[f331,f512]) ).
fof(f331,plain,
( sk_c5 = sk_c1
| ~ spl3_8
| ~ spl3_9 ),
inference(backward_demodulation,[],[f167,f329]) ).
fof(f167,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl3_9 ),
inference(superposition,[],[f153,f145]) ).
fof(f145,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl3_9 ),
inference(superposition,[],[f2,f80]) ).
fof(f80,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl3_9
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f559,plain,
( sk_c8 = multiply(sk_c1,identity)
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(forward_demodulation,[],[f71,f522]) ).
fof(f71,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl3_7
<=> sk_c8 = multiply(sk_c1,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f578,plain,
( ! [X5] :
( identity != multiply(identity,multiply(X5,identity))
| sk_c8 != inverse(X5) )
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16
| ~ spl3_19 ),
inference(forward_demodulation,[],[f577,f522]) ).
fof(f577,plain,
( ! [X5] :
( sk_c7 != multiply(identity,multiply(X5,identity))
| sk_c8 != inverse(X5) )
| ~ spl3_3
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16
| ~ spl3_19 ),
inference(forward_demodulation,[],[f117,f561]) ).
fof(f576,plain,
( ~ spl3_1
| ~ spl3_3
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f575]) ).
fof(f575,plain,
( $false
| ~ spl3_1
| ~ spl3_3
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f574,f1]) ).
fof(f574,plain,
( identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f573]) ).
fof(f573,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(superposition,[],[f568,f554]) ).
fof(f568,plain,
( ! [X7] :
( identity != inverse(X7)
| identity != multiply(X7,identity) )
| ~ spl3_1
| ~ spl3_3
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(forward_demodulation,[],[f567,f484]) ).
fof(f567,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c6 != multiply(X7,identity) )
| ~ spl3_1
| ~ spl3_3
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(forward_demodulation,[],[f566,f522]) ).
fof(f566,plain,
( ! [X7] :
( sk_c6 != multiply(X7,sk_c7)
| identity != inverse(X7) )
| ~ spl3_1
| ~ spl3_3
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(forward_demodulation,[],[f44,f522]) ).
fof(f44,plain,
( ! [X7] :
( sk_c7 != inverse(X7)
| sk_c6 != multiply(X7,sk_c7) )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl3_1
<=> ! [X7] :
( sk_c6 != multiply(X7,sk_c7)
| sk_c7 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f547,plain,
( ~ spl3_3
| spl3_6
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f546]) ).
fof(f546,plain,
( $false
| ~ spl3_3
| spl3_6
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f539,f1]) ).
fof(f539,plain,
( identity != multiply(identity,identity)
| ~ spl3_3
| spl3_6
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(backward_demodulation,[],[f510,f522]) ).
fof(f510,plain,
( identity != multiply(sk_c7,sk_c7)
| ~ spl3_3
| spl3_6
| ~ spl3_8
| ~ spl3_19 ),
inference(backward_demodulation,[],[f487,f467]) ).
fof(f487,plain,
( identity != multiply(sk_c7,sk_c8)
| ~ spl3_3
| spl3_6
| ~ spl3_8 ),
inference(backward_demodulation,[],[f65,f484]) ).
fof(f65,plain,
( multiply(sk_c7,sk_c8) != sk_c6
| spl3_6 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl3_6
<=> multiply(sk_c7,sk_c8) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f545,plain,
( ~ spl3_3
| spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f544]) ).
fof(f544,plain,
( $false
| ~ spl3_3
| spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f537,f492]) ).
fof(f492,plain,
( identity != sk_c8
| ~ spl3_3
| spl3_7
| ~ spl3_8
| ~ spl3_9 ),
inference(backward_demodulation,[],[f461,f484]) ).
fof(f461,plain,
( sk_c8 != sk_c6
| ~ spl3_3
| spl3_7
| ~ spl3_8
| ~ spl3_9 ),
inference(superposition,[],[f444,f53]) ).
fof(f444,plain,
( sk_c8 != multiply(sk_c5,sk_c7)
| spl3_7
| ~ spl3_8
| ~ spl3_9 ),
inference(backward_demodulation,[],[f70,f331]) ).
fof(f70,plain,
( sk_c8 != multiply(sk_c1,sk_c7)
| spl3_7 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f532,plain,
( ~ spl3_3
| ~ spl3_4
| ~ spl3_8
| spl3_10
| ~ spl3_11
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f531]) ).
fof(f531,plain,
( $false
| ~ spl3_3
| ~ spl3_4
| ~ spl3_8
| spl3_10
| ~ spl3_11
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f529,f521]) ).
fof(f521,plain,
( identity != sk_c7
| ~ spl3_4
| spl3_10
| ~ spl3_11
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(backward_demodulation,[],[f443,f520]) ).
fof(f520,plain,
( identity = sk_c3
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f502,f2]) ).
fof(f502,plain,
( sk_c3 = multiply(inverse(sk_c7),sk_c7)
| ~ spl3_11
| ~ spl3_19 ),
inference(backward_demodulation,[],[f168,f467]) ).
fof(f168,plain,
( sk_c3 = multiply(inverse(sk_c8),sk_c7)
| ~ spl3_11 ),
inference(superposition,[],[f153,f91]) ).
fof(f91,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl3_11
<=> sk_c7 = multiply(sk_c8,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f443,plain,
( sk_c7 != sk_c3
| ~ spl3_4
| spl3_10
| ~ spl3_12
| ~ spl3_13 ),
inference(forward_demodulation,[],[f442,f102]) ).
fof(f442,plain,
( multiply(sk_c4,sk_c8) != sk_c3
| ~ spl3_4
| spl3_10
| ~ spl3_12 ),
inference(backward_demodulation,[],[f84,f356]) ).
fof(f356,plain,
( sk_c4 = sk_c2
| ~ spl3_4
| ~ spl3_12 ),
inference(backward_demodulation,[],[f169,f354]) ).
fof(f169,plain,
( sk_c2 = multiply(inverse(sk_c8),identity)
| ~ spl3_4 ),
inference(superposition,[],[f153,f144]) ).
fof(f144,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl3_4 ),
inference(superposition,[],[f2,f57]) ).
fof(f57,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl3_4
<=> sk_c8 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f84,plain,
( sk_c3 != multiply(sk_c2,sk_c8)
| spl3_10 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl3_10
<=> sk_c3 = multiply(sk_c2,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f529,plain,
( identity = sk_c7
| ~ spl3_3
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(backward_demodulation,[],[f489,f526]) ).
fof(f526,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl3_3
| ~ spl3_8
| ~ spl3_12
| ~ spl3_13
| ~ spl3_19 ),
inference(forward_demodulation,[],[f505,f518]) ).
fof(f518,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = X0
| ~ spl3_3
| ~ spl3_8
| ~ spl3_12
| ~ spl3_19 ),
inference(backward_demodulation,[],[f497,f512]) ).
fof(f497,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
| ~ spl3_3
| ~ spl3_8 ),
inference(forward_demodulation,[],[f488,f1]) ).
fof(f488,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c7,X0))
| ~ spl3_3
| ~ spl3_8 ),
inference(backward_demodulation,[],[f311,f484]) ).
fof(f311,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c7,X0))
| ~ spl3_3 ),
inference(superposition,[],[f3,f53]) ).
fof(f505,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c7,X0))
| ~ spl3_13
| ~ spl3_19 ),
inference(backward_demodulation,[],[f321,f467]) ).
fof(f321,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| ~ spl3_13 ),
inference(superposition,[],[f3,f102]) ).
fof(f489,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl3_3
| ~ spl3_8 ),
inference(backward_demodulation,[],[f312,f484]) ).
fof(f495,plain,
( spl3_19
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8 ),
inference(avatar_split_clause,[],[f494,f74,f60,f51,f466]) ).
fof(f60,plain,
( spl3_5
<=> sk_c7 = multiply(sk_c6,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f494,plain,
( sk_c7 = sk_c8
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8 ),
inference(forward_demodulation,[],[f490,f162]) ).
fof(f162,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f153,f1]) ).
fof(f490,plain,
( sk_c8 = multiply(inverse(identity),sk_c7)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_8 ),
inference(backward_demodulation,[],[f313,f484]) ).
fof(f313,plain,
( sk_c8 = multiply(inverse(sk_c6),sk_c7)
| ~ spl3_5 ),
inference(superposition,[],[f153,f62]) ).
fof(f62,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f475,plain,
( ~ spl3_12
| ~ spl3_13
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f474]) ).
fof(f474,plain,
( $false
| ~ spl3_12
| ~ spl3_13
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f464,f102]) ).
fof(f464,plain,
( sk_c7 != multiply(sk_c4,sk_c8)
| ~ spl3_12
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f463]) ).
fof(f463,plain,
( sk_c8 != sk_c8
| sk_c7 != multiply(sk_c4,sk_c8)
| ~ spl3_12
| ~ spl3_17 ),
inference(superposition,[],[f130,f97]) ).
fof(f130,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| sk_c7 != multiply(X6,sk_c8) )
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl3_17
<=> ! [X6] :
( sk_c8 != inverse(X6)
| sk_c7 != multiply(X6,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f299,plain,
( ~ spl3_3
| ~ spl3_4
| ~ spl3_5
| spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(avatar_contradiction_clause,[],[f298]) ).
fof(f298,plain,
( $false
| ~ spl3_3
| ~ spl3_4
| ~ spl3_5
| spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(subsumption_resolution,[],[f297,f277]) ).
fof(f277,plain,
( identity != sk_c6
| ~ spl3_4
| spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(forward_demodulation,[],[f276,f1]) ).
fof(f276,plain,
( sk_c6 != multiply(identity,identity)
| ~ spl3_4
| spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(forward_demodulation,[],[f275,f210]) ).
fof(f210,plain,
( identity = sk_c7
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(backward_demodulation,[],[f193,f209]) ).
fof(f209,plain,
( identity = sk_c3
| ~ spl3_4
| ~ spl3_10
| ~ spl3_11 ),
inference(forward_demodulation,[],[f208,f2]) ).
fof(f208,plain,
( sk_c3 = multiply(inverse(sk_c7),sk_c7)
| ~ spl3_4
| ~ spl3_10
| ~ spl3_11 ),
inference(forward_demodulation,[],[f168,f175]) ).
fof(f175,plain,
( sk_c7 = sk_c8
| ~ spl3_4
| ~ spl3_10
| ~ spl3_11 ),
inference(forward_demodulation,[],[f174,f91]) ).
fof(f174,plain,
( sk_c8 = multiply(sk_c8,sk_c3)
| ~ spl3_4
| ~ spl3_10 ),
inference(forward_demodulation,[],[f171,f57]) ).
fof(f171,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c3)
| ~ spl3_10 ),
inference(superposition,[],[f153,f85]) ).
fof(f85,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f193,plain,
( sk_c7 = sk_c3
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(backward_demodulation,[],[f191,f179]) ).
fof(f179,plain,
( sk_c7 = multiply(sk_c1,sk_c7)
| ~ spl3_4
| ~ spl3_7
| ~ spl3_10
| ~ spl3_11 ),
inference(backward_demodulation,[],[f71,f175]) ).
fof(f191,plain,
( multiply(sk_c1,sk_c7) = sk_c3
| ~ spl3_4
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(forward_demodulation,[],[f180,f189]) ).
fof(f189,plain,
( sk_c1 = sk_c2
| ~ spl3_4
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(forward_demodulation,[],[f188,f167]) ).
fof(f188,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl3_4
| ~ spl3_10
| ~ spl3_11 ),
inference(backward_demodulation,[],[f169,f175]) ).
fof(f180,plain,
( sk_c3 = multiply(sk_c2,sk_c7)
| ~ spl3_4
| ~ spl3_10
| ~ spl3_11 ),
inference(backward_demodulation,[],[f85,f175]) ).
fof(f275,plain,
( sk_c6 != multiply(sk_c7,identity)
| ~ spl3_4
| spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(forward_demodulation,[],[f65,f215]) ).
fof(f215,plain,
( identity = sk_c8
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(backward_demodulation,[],[f175,f210]) ).
fof(f297,plain,
( identity = sk_c6
| ~ spl3_3
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(backward_demodulation,[],[f269,f296]) ).
fof(f296,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl3_3
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(backward_demodulation,[],[f285,f294]) ).
fof(f294,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(forward_demodulation,[],[f293,f1]) ).
fof(f293,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(identity,X0))
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(superposition,[],[f3,f273]) ).
fof(f273,plain,
( identity = multiply(sk_c6,identity)
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(forward_demodulation,[],[f234,f210]) ).
fof(f234,plain,
( sk_c7 = multiply(sk_c6,identity)
| ~ spl3_4
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(forward_demodulation,[],[f62,f215]) ).
fof(f285,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,X0)
| ~ spl3_3
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(forward_demodulation,[],[f283,f1]) ).
fof(f283,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(identity,X0))
| ~ spl3_3
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(superposition,[],[f3,f269]) ).
fof(f269,plain,
( sk_c6 = multiply(sk_c5,identity)
| ~ spl3_3
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(forward_demodulation,[],[f53,f210]) ).
fof(f268,plain,
( ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(avatar_contradiction_clause,[],[f267]) ).
fof(f267,plain,
( $false
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(subsumption_resolution,[],[f266,f1]) ).
fof(f266,plain,
( identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(trivial_inequality_removal,[],[f265]) ).
fof(f265,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(superposition,[],[f264,f223]) ).
fof(f223,plain,
( identity = inverse(identity)
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(forward_demodulation,[],[f211,f221]) ).
fof(f221,plain,
( identity = sk_c1
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(forward_demodulation,[],[f214,f2]) ).
fof(f214,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(backward_demodulation,[],[f167,f210]) ).
fof(f211,plain,
( identity = inverse(sk_c1)
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(backward_demodulation,[],[f80,f210]) ).
fof(f264,plain,
( ! [X7] :
( identity != inverse(X7)
| identity != multiply(X7,identity) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(forward_demodulation,[],[f263,f220]) ).
fof(f220,plain,
( identity = sk_c6
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(backward_demodulation,[],[f199,f210]) ).
fof(f199,plain,
( sk_c7 = sk_c6
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(backward_demodulation,[],[f178,f198]) ).
fof(f198,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(forward_demodulation,[],[f181,f193]) ).
fof(f181,plain,
( sk_c7 = multiply(sk_c7,sk_c3)
| ~ spl3_4
| ~ spl3_10
| ~ spl3_11 ),
inference(backward_demodulation,[],[f91,f175]) ).
fof(f178,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl3_4
| ~ spl3_6
| ~ spl3_10
| ~ spl3_11 ),
inference(backward_demodulation,[],[f66,f175]) ).
fof(f66,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f263,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c6 != multiply(X7,identity) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(forward_demodulation,[],[f262,f210]) ).
fof(f262,plain,
( ! [X7] :
( sk_c6 != multiply(X7,sk_c7)
| identity != inverse(X7) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(forward_demodulation,[],[f44,f210]) ).
fof(f261,plain,
( ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f260]) ).
fof(f260,plain,
( $false
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f259,f1]) ).
fof(f259,plain,
( identity != multiply(identity,identity)
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_18 ),
inference(trivial_inequality_removal,[],[f258]) ).
fof(f258,plain,
( identity != multiply(identity,identity)
| identity != identity
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_18 ),
inference(superposition,[],[f257,f223]) ).
fof(f257,plain,
( ! [X3] :
( identity != inverse(X3)
| identity != multiply(X3,identity) )
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f256,f215]) ).
fof(f256,plain,
( ! [X3] :
( sk_c8 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f255,f210]) ).
fof(f255,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c8 != multiply(X3,identity) )
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f138,f210]) ).
fof(f254,plain,
( ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f253]) ).
fof(f253,plain,
( $false
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f252,f1]) ).
fof(f252,plain,
( identity != multiply(identity,identity)
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f251]) ).
fof(f251,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_17 ),
inference(superposition,[],[f250,f223]) ).
fof(f250,plain,
( ! [X6] :
( identity != inverse(X6)
| identity != multiply(X6,identity) )
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f249,f210]) ).
fof(f249,plain,
( ! [X6] :
( sk_c7 != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f248,f215]) ).
fof(f248,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c7 != multiply(X6,sk_c8) )
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f130,f215]) ).
fof(f247,plain,
( ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f246]) ).
fof(f246,plain,
( $false
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f245,f1]) ).
fof(f245,plain,
( identity != multiply(identity,identity)
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f244,f1]) ).
fof(f244,plain,
( identity != multiply(identity,multiply(identity,identity))
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_16 ),
inference(trivial_inequality_removal,[],[f243]) ).
fof(f243,plain,
( identity != multiply(identity,multiply(identity,identity))
| identity != identity
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_16 ),
inference(superposition,[],[f239,f223]) ).
fof(f239,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != multiply(identity,multiply(X5,identity)) )
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f238,f215]) ).
fof(f238,plain,
( ! [X5] :
( identity != multiply(identity,multiply(X5,identity))
| sk_c8 != inverse(X5) )
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f237,f210]) ).
fof(f237,plain,
( ! [X5] :
( sk_c7 != multiply(identity,multiply(X5,identity))
| sk_c8 != inverse(X5) )
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f117,f215]) ).
fof(f202,plain,
( ~ spl3_4
| spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(avatar_contradiction_clause,[],[f201]) ).
fof(f201,plain,
( $false
| ~ spl3_4
| spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(subsumption_resolution,[],[f200,f198]) ).
fof(f200,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl3_4
| spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(backward_demodulation,[],[f177,f199]) ).
fof(f177,plain,
( sk_c7 != multiply(sk_c6,sk_c7)
| ~ spl3_4
| spl3_5
| ~ spl3_10
| ~ spl3_11 ),
inference(backward_demodulation,[],[f61,f175]) ).
fof(f61,plain,
( sk_c7 != multiply(sk_c6,sk_c8)
| spl3_5 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f143,plain,
( spl3_5
| spl3_11 ),
inference(avatar_split_clause,[],[f23,f89,f60]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c7 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f142,plain,
( spl3_5
| spl3_9 ),
inference(avatar_split_clause,[],[f18,f78,f60]) ).
fof(f18,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f141,plain,
( spl3_12
| spl3_11 ),
inference(avatar_split_clause,[],[f20,f89,f95]) ).
fof(f20,axiom,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f140,plain,
( spl3_13
| spl3_11 ),
inference(avatar_split_clause,[],[f19,f89,f100]) ).
fof(f19,axiom,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c7 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f139,plain,
( spl3_18
| spl3_14 ),
inference(avatar_split_clause,[],[f36,f108,f137]) ).
fof(f108,plain,
( spl3_14
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f36,plain,
! [X3] :
( sP0
| sk_c7 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) ),
inference(cnf_transformation,[],[f36_D]) ).
fof(f36_D,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f135,plain,
( spl3_7
| spl3_8 ),
inference(avatar_split_clause,[],[f12,f74,f69]) ).
fof(f12,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f132,plain,
( spl3_9
| spl3_13 ),
inference(avatar_split_clause,[],[f14,f100,f78]) ).
fof(f14,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f131,plain,
( spl3_15
| spl3_17 ),
inference(avatar_split_clause,[],[f38,f129,f112]) ).
fof(f112,plain,
( spl3_15
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f38,plain,
! [X6] :
( sk_c8 != inverse(X6)
| sk_c7 != multiply(X6,sk_c8)
| sP1 ),
inference(cnf_transformation,[],[f38_D]) ).
fof(f38_D,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| sk_c7 != multiply(X6,sk_c8) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f127,plain,
( spl3_10
| spl3_12 ),
inference(avatar_split_clause,[],[f25,f95,f83]) ).
fof(f25,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f126,plain,
( spl3_7
| spl3_13 ),
inference(avatar_split_clause,[],[f9,f100,f69]) ).
fof(f9,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f125,plain,
( spl3_13
| spl3_10 ),
inference(avatar_split_clause,[],[f24,f83,f100]) ).
fof(f24,axiom,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c7 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f124,plain,
( spl3_8
| spl3_6 ),
inference(avatar_split_clause,[],[f7,f64,f74]) ).
fof(f7,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f123,plain,
( spl3_9
| spl3_12 ),
inference(avatar_split_clause,[],[f15,f95,f78]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f122,plain,
( spl3_10
| spl3_3 ),
inference(avatar_split_clause,[],[f26,f51,f83]) ).
fof(f26,axiom,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f121,plain,
( spl3_3
| spl3_9 ),
inference(avatar_split_clause,[],[f16,f78,f51]) ).
fof(f16,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f120,plain,
( spl3_3
| spl3_6 ),
inference(avatar_split_clause,[],[f6,f64,f51]) ).
fof(f6,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c6 = multiply(sk_c5,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f119,plain,
( spl3_5
| spl3_7 ),
inference(avatar_split_clause,[],[f13,f69,f60]) ).
fof(f13,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f118,plain,
( ~ spl3_14
| ~ spl3_15
| ~ spl3_5
| ~ spl3_2
| spl3_16
| ~ spl3_6 ),
inference(avatar_split_clause,[],[f41,f64,f116,f46,f60,f112,f108]) ).
fof(f46,plain,
( spl3_2
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f41,plain,
! [X5] :
( multiply(sk_c7,sk_c8) != sk_c6
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| ~ sP2
| sk_c7 != multiply(sk_c6,sk_c8)
| ~ sP1
| sk_c8 != inverse(X5)
| ~ sP0 ),
inference(general_splitting,[],[f39,f40_D]) ).
fof(f40,plain,
! [X7] :
( sP2
| sk_c6 != multiply(X7,sk_c7)
| sk_c7 != inverse(X7) ),
inference(cnf_transformation,[],[f40_D]) ).
fof(f40_D,plain,
( ! [X7] :
( sk_c6 != multiply(X7,sk_c7)
| sk_c7 != inverse(X7) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f39,plain,
! [X7,X5] :
( sk_c6 != multiply(X7,sk_c7)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c7 != inverse(X7)
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c8 != inverse(X5)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f37,f38_D]) ).
fof(f37,plain,
! [X6,X7,X5] :
( sk_c6 != multiply(X7,sk_c7)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c7 != multiply(X6,sk_c8)
| sk_c7 != inverse(X7)
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c8 != inverse(X5)
| ~ sP0 ),
inference(general_splitting,[],[f35,f36_D]) ).
fof(f35,plain,
! [X3,X6,X7,X5] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c6 != multiply(X7,sk_c7)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c7 != multiply(X6,sk_c8)
| sk_c7 != inverse(X7)
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c7 != inverse(X3)
| sk_c8 != inverse(X5) ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c6 != multiply(X7,sk_c7)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(sk_c8,X4)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c7 != multiply(X6,sk_c8)
| sk_c7 != inverse(X7)
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c7 != inverse(X3)
| multiply(X5,sk_c8) != X4
| sk_c8 != inverse(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f106,plain,
( spl3_8
| spl3_4 ),
inference(avatar_split_clause,[],[f32,f55,f74]) ).
fof(f32,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f105,plain,
( spl3_4
| spl3_5 ),
inference(avatar_split_clause,[],[f33,f60,f55]) ).
fof(f33,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f104,plain,
( spl3_12
| spl3_4 ),
inference(avatar_split_clause,[],[f30,f55,f95]) ).
fof(f30,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f103,plain,
( spl3_4
| spl3_13 ),
inference(avatar_split_clause,[],[f29,f100,f55]) ).
fof(f29,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f98,plain,
( spl3_12
| spl3_7 ),
inference(avatar_split_clause,[],[f10,f69,f95]) ).
fof(f10,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f93,plain,
( spl3_11
| spl3_8 ),
inference(avatar_split_clause,[],[f22,f74,f89]) ).
fof(f22,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f92,plain,
( spl3_11
| spl3_3 ),
inference(avatar_split_clause,[],[f21,f51,f89]) ).
fof(f21,axiom,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f87,plain,
( spl3_5
| spl3_10 ),
inference(avatar_split_clause,[],[f28,f83,f60]) ).
fof(f28,axiom,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c7 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f86,plain,
( spl3_8
| spl3_10 ),
inference(avatar_split_clause,[],[f27,f83,f74]) ).
fof(f27,axiom,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f81,plain,
( spl3_8
| spl3_9 ),
inference(avatar_split_clause,[],[f17,f78,f74]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f72,plain,
( spl3_3
| spl3_7 ),
inference(avatar_split_clause,[],[f11,f69,f51]) ).
fof(f11,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f67,plain,
( spl3_5
| spl3_6 ),
inference(avatar_split_clause,[],[f8,f64,f60]) ).
fof(f8,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f58,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f31,f55,f51]) ).
fof(f31,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c6 = multiply(sk_c5,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f49,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f40,f46,f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP320-1 : 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
% 0.13/0.32 % Computer : n008.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Mon Aug 29 22:28:10 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.49 % (24152)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49 % (24161)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.49 % (24159)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49 % (24156)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50 % (24157)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50 % (24163)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.50 % (24158)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50 % (24158)Instruction limit reached!
% 0.18/0.50 % (24158)------------------------------
% 0.18/0.50 % (24158)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (24158)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (24158)Termination reason: Unknown
% 0.18/0.50 % (24158)Termination phase: Property scanning
% 0.18/0.50
% 0.18/0.50 % (24158)Memory used [KB]: 895
% 0.18/0.50 % (24158)Time elapsed: 0.002 s
% 0.18/0.50 % (24158)Instructions burned: 2 (million)
% 0.18/0.50 % (24158)------------------------------
% 0.18/0.50 % (24158)------------------------------
% 0.18/0.50 % (24148)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.50 TRYING [1]
% 0.18/0.50 % (24169)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.50 % (24166)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.51 TRYING [1]
% 0.18/0.51 % (24171)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.51 % (24160)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.51 % (24173)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.51 TRYING [2]
% 0.18/0.51 TRYING [2]
% 0.18/0.51 % (24151)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51 % (24172)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.51 TRYING [3]
% 0.18/0.51 % (24150)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.51 TRYING [3]
% 0.18/0.51 % (24157)Instruction limit reached!
% 0.18/0.51 % (24157)------------------------------
% 0.18/0.51 % (24157)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (24157)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (24157)Termination reason: Unknown
% 0.18/0.51 % (24157)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (24157)Memory used [KB]: 5500
% 0.18/0.51 % (24157)Time elapsed: 0.114 s
% 0.18/0.51 % (24157)Instructions burned: 7 (million)
% 0.18/0.51 % (24157)------------------------------
% 0.18/0.51 % (24157)------------------------------
% 0.18/0.52 % (24178)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.18/0.52 TRYING [4]
% 0.18/0.52 % (24170)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.52 % (24165)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.52 % (24149)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52 % (24177)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.52 % (24179)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.52 % (24154)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.52 % (24174)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.53 % (24167)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.53 TRYING [4]
% 0.18/0.53 % (24168)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.53 % (24164)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.53 % (24175)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.54 % (24176)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.54 TRYING [1]
% 0.18/0.54 TRYING [2]
% 0.18/0.54 % (24180)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.18/0.55 TRYING [3]
% 0.18/0.55 % (24172)First to succeed.
% 0.18/0.55 % (24152)Instruction limit reached!
% 0.18/0.55 % (24152)------------------------------
% 0.18/0.55 % (24152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (24152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (24152)Termination reason: Unknown
% 0.18/0.55 % (24152)Termination phase: Saturation
% 0.18/0.55
% 0.18/0.55 % (24152)Memory used [KB]: 6140
% 0.18/0.55 % (24152)Time elapsed: 0.175 s
% 0.18/0.55 % (24152)Instructions burned: 51 (million)
% 0.18/0.55 % (24152)------------------------------
% 0.18/0.55 % (24152)------------------------------
% 0.18/0.56 % (24156)Instruction limit reached!
% 0.18/0.56 % (24156)------------------------------
% 0.18/0.56 % (24156)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (24156)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (24156)Termination reason: Unknown
% 0.18/0.56 % (24156)Termination phase: Finite model building SAT solving
% 0.18/0.56
% 0.18/0.56 % (24156)Memory used [KB]: 7036
% 0.18/0.56 % (24156)Time elapsed: 0.139 s
% 0.18/0.56 % (24156)Instructions burned: 52 (million)
% 0.18/0.56 % (24156)------------------------------
% 0.18/0.56 % (24156)------------------------------
% 0.18/0.56 TRYING [5]
% 0.18/0.57 % (24150)Instruction limit reached!
% 0.18/0.57 % (24150)------------------------------
% 0.18/0.57 % (24150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57 TRYING [4]
% 0.18/0.57 % (24172)Refutation found. Thanks to Tanya!
% 0.18/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.57 % (24172)------------------------------
% 0.18/0.57 % (24172)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57 % (24172)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57 % (24172)Termination reason: Refutation
% 0.18/0.57
% 0.18/0.57 % (24172)Memory used [KB]: 5756
% 0.18/0.57 % (24172)Time elapsed: 0.177 s
% 0.18/0.57 % (24172)Instructions burned: 19 (million)
% 0.18/0.57 % (24172)------------------------------
% 0.18/0.57 % (24172)------------------------------
% 0.18/0.57 % (24142)Success in time 0.236 s
%------------------------------------------------------------------------------