TSTP Solution File: GRP273-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP273-1 : 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 16:21:07 EDT 2022
% Result : Unsatisfiable 1.56s 0.58s
% Output : Refutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 50
% Syntax : Number of formulae : 227 ( 14 unt; 0 def)
% Number of atoms : 747 ( 286 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 998 ( 478 ~; 498 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 23 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 87 ( 87 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1138,plain,
$false,
inference(avatar_sat_refutation,[],[f65,f83,f93,f112,f114,f126,f127,f132,f133,f135,f137,f139,f140,f141,f143,f145,f146,f148,f150,f153,f166,f169,f173,f174,f176,f206,f337,f344,f361,f496,f841,f894,f931,f974,f1045,f1110,f1136]) ).
fof(f1136,plain,
( ~ spl0_3
| ~ spl0_10
| spl0_23
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1135]) ).
fof(f1135,plain,
( $false
| ~ spl0_3
| ~ spl0_10
| spl0_23
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f1134,f1097]) ).
fof(f1097,plain,
( identity != sk_c1
| ~ spl0_3
| spl0_23
| ~ spl0_24 ),
inference(superposition,[],[f1072,f1084]) ).
fof(f1084,plain,
( sk_c1 = sk_c10
| ~ spl0_3
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1068,f730]) ).
fof(f730,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f413,f412]) ).
fof(f412,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f239,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f239,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f225,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f225,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/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f413,plain,
! [X6,X5] : multiply(inverse(inverse(X5)),X6) = multiply(X5,X6),
inference(superposition,[],[f239,f239]) ).
fof(f1068,plain,
( sk_c10 = multiply(sk_c1,identity)
| ~ spl0_3
| ~ spl0_24 ),
inference(backward_demodulation,[],[f69,f211]) ).
fof(f211,plain,
( identity = sk_c11
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f210,plain,
( spl0_24
<=> identity = sk_c11 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f69,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl0_3
<=> multiply(sk_c1,sk_c11) = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1072,plain,
( identity != sk_c10
| spl0_23
| ~ spl0_24 ),
inference(backward_demodulation,[],[f205,f211]) ).
fof(f205,plain,
( sk_c11 != sk_c10
| spl0_23 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f203,plain,
( spl0_23
<=> sk_c11 = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f1134,plain,
( identity = sk_c1
| ~ spl0_10
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1130,f423]) ).
fof(f423,plain,
identity = inverse(identity),
inference(superposition,[],[f419,f412]) ).
fof(f419,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f239,f412]) ).
fof(f1130,plain,
( sk_c1 = inverse(identity)
| ~ spl0_10
| ~ spl0_24 ),
inference(superposition,[],[f744,f1071]) ).
fof(f1071,plain,
( identity = inverse(sk_c1)
| ~ spl0_10
| ~ spl0_24 ),
inference(backward_demodulation,[],[f102,f211]) ).
fof(f102,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f100,plain,
( spl0_10
<=> sk_c11 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f744,plain,
! [X3] : inverse(inverse(X3)) = X3,
inference(superposition,[],[f730,f412]) ).
fof(f1110,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| spl0_23
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1109]) ).
fof(f1109,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| spl0_23
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f1108,f1097]) ).
fof(f1108,plain,
( identity = sk_c1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_24 ),
inference(backward_demodulation,[],[f1088,f1104]) ).
fof(f1104,plain,
( identity = multiply(sk_c3,identity)
| ~ spl0_6
| ~ spl0_24 ),
inference(superposition,[],[f732,f1069]) ).
fof(f1069,plain,
( identity = inverse(sk_c3)
| ~ spl0_6
| ~ spl0_24 ),
inference(backward_demodulation,[],[f82,f211]) ).
fof(f82,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl0_6
<=> sk_c11 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f732,plain,
! [X4] : identity = multiply(X4,inverse(X4)),
inference(superposition,[],[f413,f2]) ).
fof(f1088,plain,
( sk_c1 = multiply(sk_c3,identity)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_24 ),
inference(backward_demodulation,[],[f1070,f1084]) ).
fof(f1070,plain,
( sk_c10 = multiply(sk_c3,identity)
| ~ spl0_8
| ~ spl0_24 ),
inference(backward_demodulation,[],[f92,f211]) ).
fof(f92,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f90,plain,
( spl0_8
<=> sk_c10 = multiply(sk_c3,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1045,plain,
( spl0_24
| ~ spl0_5
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1042,f95,f76,f210]) ).
fof(f76,plain,
( spl0_5
<=> sk_c9 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f95,plain,
( spl0_9
<=> sk_c11 = multiply(sk_c2,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f1042,plain,
( identity = sk_c11
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f97,f908]) ).
fof(f908,plain,
( identity = multiply(sk_c2,sk_c9)
| ~ spl0_5 ),
inference(superposition,[],[f732,f78]) ).
fof(f78,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f97,plain,
( sk_c11 = multiply(sk_c2,sk_c9)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f974,plain,
( ~ spl0_18
| ~ spl0_20
| ~ spl0_23
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f973]) ).
fof(f973,plain,
( $false
| ~ spl0_18
| ~ spl0_20
| ~ spl0_23
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f965,f744]) ).
fof(f965,plain,
( identity != inverse(inverse(identity))
| ~ spl0_18
| ~ spl0_20
| ~ spl0_23
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f962]) ).
fof(f962,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_18
| ~ spl0_20
| ~ spl0_23
| ~ spl0_24 ),
inference(superposition,[],[f935,f2]) ).
fof(f935,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl0_18
| ~ spl0_20
| ~ spl0_23
| ~ spl0_24 ),
inference(backward_demodulation,[],[f843,f933]) ).
fof(f933,plain,
( identity = sk_c9
| ~ spl0_20
| ~ spl0_24 ),
inference(forward_demodulation,[],[f191,f211]) ).
fof(f191,plain,
( sk_c11 = sk_c9
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f190,plain,
( spl0_20
<=> sk_c11 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f843,plain,
( ! [X6] :
( sk_c9 != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl0_18
| ~ spl0_23
| ~ spl0_24 ),
inference(forward_demodulation,[],[f842,f350]) ).
fof(f350,plain,
( identity = sk_c10
| ~ spl0_23
| ~ spl0_24 ),
inference(forward_demodulation,[],[f204,f211]) ).
fof(f204,plain,
( sk_c11 = sk_c10
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f842,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,identity) )
| ~ spl0_18
| ~ spl0_23
| ~ spl0_24 ),
inference(forward_demodulation,[],[f162,f350]) ).
fof(f162,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f161,plain,
( spl0_18
<=> ! [X6] :
( sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f931,plain,
( ~ spl0_1
| spl0_22
| ~ spl0_23
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f930]) ).
fof(f930,plain,
( $false
| ~ spl0_1
| spl0_22
| ~ spl0_23
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f929,f903]) ).
fof(f903,plain,
( identity != sk_c9
| spl0_22
| ~ spl0_24 ),
inference(forward_demodulation,[],[f902,f423]) ).
fof(f902,plain,
( sk_c9 != inverse(identity)
| spl0_22
| ~ spl0_24 ),
inference(forward_demodulation,[],[f201,f211]) ).
fof(f201,plain,
( sk_c9 != inverse(sk_c11)
| spl0_22 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f199,plain,
( spl0_22
<=> sk_c9 = inverse(sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f929,plain,
( identity = sk_c9
| ~ spl0_1
| ~ spl0_23
| ~ spl0_24 ),
inference(forward_demodulation,[],[f923,f2]) ).
fof(f923,plain,
( sk_c9 = multiply(inverse(identity),identity)
| ~ spl0_1
| ~ spl0_23
| ~ spl0_24 ),
inference(superposition,[],[f239,f883]) ).
fof(f883,plain,
( identity = multiply(identity,sk_c9)
| ~ spl0_1
| ~ spl0_23
| ~ spl0_24 ),
inference(forward_demodulation,[],[f366,f350]) ).
fof(f366,plain,
( sk_c10 = multiply(identity,sk_c9)
| ~ spl0_1
| ~ spl0_24 ),
inference(forward_demodulation,[],[f60,f211]) ).
fof(f60,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl0_1
<=> sk_c10 = multiply(sk_c11,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f894,plain,
( spl0_20
| ~ spl0_22
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f893]) ).
fof(f893,plain,
( $false
| spl0_20
| ~ spl0_22
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f884,f870]) ).
fof(f870,plain,
( identity = sk_c9
| ~ spl0_22
| ~ spl0_24 ),
inference(forward_demodulation,[],[f401,f423]) ).
fof(f401,plain,
( sk_c9 = inverse(identity)
| ~ spl0_22
| ~ spl0_24 ),
inference(forward_demodulation,[],[f200,f211]) ).
fof(f200,plain,
( sk_c9 = inverse(sk_c11)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f884,plain,
( identity != sk_c9
| spl0_20
| ~ spl0_24 ),
inference(forward_demodulation,[],[f192,f211]) ).
fof(f192,plain,
( sk_c11 != sk_c9
| spl0_20 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f841,plain,
( ~ spl0_19
| ~ spl0_23
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f840]) ).
fof(f840,plain,
( $false
| ~ spl0_19
| ~ spl0_23
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f834,f423]) ).
fof(f834,plain,
( identity != inverse(identity)
| ~ spl0_19
| ~ spl0_23
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f827]) ).
fof(f827,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_19
| ~ spl0_23
| ~ spl0_24 ),
inference(superposition,[],[f663,f1]) ).
fof(f663,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl0_19
| ~ spl0_23
| ~ spl0_24 ),
inference(forward_demodulation,[],[f662,f423]) ).
fof(f662,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| inverse(X0) != inverse(identity) )
| ~ spl0_19
| ~ spl0_23
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f661,f1]) ).
fof(f661,plain,
( ! [X0] :
( inverse(X0) != inverse(identity)
| identity != multiply(identity,identity)
| identity != multiply(X0,identity) )
| ~ spl0_19
| ~ spl0_23
| ~ spl0_24 ),
inference(forward_demodulation,[],[f660,f423]) ).
fof(f660,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != multiply(identity,inverse(identity))
| inverse(X0) != inverse(identity) )
| ~ spl0_19
| ~ spl0_23
| ~ spl0_24 ),
inference(forward_demodulation,[],[f659,f423]) ).
fof(f659,plain,
( ! [X0] :
( identity != multiply(X0,inverse(identity))
| identity != multiply(identity,inverse(identity))
| inverse(X0) != inverse(identity) )
| ~ spl0_19
| ~ spl0_23
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f652,f2]) ).
fof(f652,plain,
( ! [X0] :
( identity != multiply(inverse(identity),identity)
| identity != multiply(identity,inverse(identity))
| inverse(X0) != inverse(identity)
| identity != multiply(X0,inverse(identity)) )
| ~ spl0_19
| ~ spl0_23
| ~ spl0_24 ),
inference(superposition,[],[f539,f423]) ).
fof(f539,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(inverse(X9)))
| identity != multiply(inverse(inverse(X9)),identity)
| identity != multiply(X7,inverse(inverse(X9)))
| inverse(X7) != inverse(inverse(X9)) )
| ~ spl0_19
| ~ spl0_23
| ~ spl0_24 ),
inference(forward_demodulation,[],[f538,f211]) ).
fof(f538,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(inverse(X9)))
| sk_c11 != multiply(inverse(inverse(X9)),identity)
| inverse(X7) != inverse(inverse(X9))
| identity != multiply(X7,inverse(inverse(X9))) )
| ~ spl0_19
| ~ spl0_23
| ~ spl0_24 ),
inference(forward_demodulation,[],[f537,f350]) ).
fof(f537,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(inverse(X9)))
| sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| identity != multiply(X7,inverse(inverse(X9)))
| inverse(X7) != inverse(inverse(X9)) )
| ~ spl0_19
| ~ spl0_24 ),
inference(forward_demodulation,[],[f165,f211]) ).
fof(f165,plain,
( ! [X9,X7] :
( sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| sk_c11 != multiply(X7,inverse(inverse(X9)))
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| inverse(X7) != inverse(inverse(X9)) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f164,plain,
( spl0_19
<=> ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(inverse(X9)))
| inverse(X7) != inverse(inverse(X9))
| sk_c11 != multiply(X7,inverse(inverse(X9)))
| sk_c11 != multiply(inverse(inverse(X9)),sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f496,plain,
( ~ spl0_17
| ~ spl0_23
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f495]) ).
fof(f495,plain,
( $false
| ~ spl0_17
| ~ spl0_23
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f424,f435]) ).
fof(f435,plain,
( identity != inverse(identity)
| ~ spl0_17
| ~ spl0_23
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f429]) ).
fof(f429,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_17
| ~ spl0_23
| ~ spl0_24 ),
inference(superposition,[],[f405,f1]) ).
fof(f405,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl0_17
| ~ spl0_23
| ~ spl0_24 ),
inference(forward_demodulation,[],[f404,f350]) ).
fof(f404,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c10 != multiply(X3,identity) )
| ~ spl0_17
| ~ spl0_24 ),
inference(forward_demodulation,[],[f403,f211]) ).
fof(f403,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| sk_c10 != multiply(X3,identity) )
| ~ spl0_17
| ~ spl0_24 ),
inference(forward_demodulation,[],[f159,f211]) ).
fof(f159,plain,
( ! [X3] :
( sk_c10 != multiply(X3,sk_c11)
| sk_c11 != inverse(X3) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f158,plain,
( spl0_17
<=> ! [X3] :
( sk_c11 != inverse(X3)
| sk_c10 != multiply(X3,sk_c11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f424,plain,
identity = inverse(identity),
inference(superposition,[],[f412,f419]) ).
fof(f361,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_23
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f360]) ).
fof(f360,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_23
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f358,f355]) ).
fof(f355,plain,
( identity = multiply(identity,sk_c9)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_23
| ~ spl0_24 ),
inference(backward_demodulation,[],[f254,f350]) ).
fof(f254,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f241,f64]) ).
fof(f64,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f62,plain,
( spl0_2
<=> multiply(sk_c4,sk_c10) = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f241,plain,
( ! [X9] : multiply(sk_c10,multiply(sk_c4,X9)) = X9
| ~ spl0_4 ),
inference(forward_demodulation,[],[f227,f1]) ).
fof(f227,plain,
( ! [X9] : multiply(sk_c10,multiply(sk_c4,X9)) = multiply(identity,X9)
| ~ spl0_4 ),
inference(superposition,[],[f3,f218]) ).
fof(f218,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl0_4 ),
inference(superposition,[],[f2,f73]) ).
fof(f73,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl0_4
<=> sk_c10 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f358,plain,
( identity != multiply(identity,sk_c9)
| spl0_1
| ~ spl0_23
| ~ spl0_24 ),
inference(backward_demodulation,[],[f345,f350]) ).
fof(f345,plain,
( sk_c10 != multiply(identity,sk_c9)
| spl0_1
| ~ spl0_24 ),
inference(backward_demodulation,[],[f59,f211]) ).
fof(f59,plain,
( sk_c10 != multiply(sk_c11,sk_c9)
| spl0_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f344,plain,
( spl0_23
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f295,f129,f123,f109,f104,f90,f80,f203]) ).
fof(f104,plain,
( spl0_11
<=> inverse(sk_c7) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f109,plain,
( spl0_12
<=> sk_c11 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f123,plain,
( spl0_14
<=> sk_c8 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f129,plain,
( spl0_15
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f295,plain,
( sk_c11 = sk_c10
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f250,f282]) ).
fof(f282,plain,
( ! [X12] : multiply(sk_c11,X12) = X12
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f230,f278]) ).
fof(f278,plain,
( ! [X17] : multiply(sk_c5,multiply(sk_c8,X17)) = X17
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f249,f272]) ).
fof(f272,plain,
( sk_c5 = sk_c6
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f267,f266]) ).
fof(f266,plain,
( sk_c5 = multiply(sk_c6,identity)
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f249,f222]) ).
fof(f222,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_15 ),
inference(superposition,[],[f2,f131]) ).
fof(f131,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f267,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f249,f221]) ).
fof(f221,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl0_14 ),
inference(superposition,[],[f2,f125]) ).
fof(f125,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f249,plain,
( ! [X17] : multiply(sk_c6,multiply(sk_c8,X17)) = X17
| ~ spl0_11
| ~ spl0_14 ),
inference(backward_demodulation,[],[f242,f248]) ).
fof(f248,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,X0)
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f247,f1]) ).
fof(f247,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(identity,X0))
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f3,f244]) ).
fof(f244,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f236,f220]) ).
fof(f220,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl0_11 ),
inference(superposition,[],[f2,f106]) ).
fof(f106,plain,
( inverse(sk_c7) = sk_c6
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f236,plain,
( ! [X14] : multiply(sk_c8,multiply(sk_c6,X14)) = X14
| ~ spl0_14 ),
inference(forward_demodulation,[],[f232,f1]) ).
fof(f232,plain,
( ! [X14] : multiply(identity,X14) = multiply(sk_c8,multiply(sk_c6,X14))
| ~ spl0_14 ),
inference(superposition,[],[f3,f221]) ).
fof(f242,plain,
( ! [X17] : multiply(sk_c6,multiply(sk_c7,X17)) = X17
| ~ spl0_11 ),
inference(forward_demodulation,[],[f235,f1]) ).
fof(f235,plain,
( ! [X17] : multiply(sk_c6,multiply(sk_c7,X17)) = multiply(identity,X17)
| ~ spl0_11 ),
inference(superposition,[],[f3,f220]) ).
fof(f230,plain,
( ! [X12] : multiply(sk_c11,X12) = multiply(sk_c5,multiply(sk_c8,X12))
| ~ spl0_12 ),
inference(superposition,[],[f3,f111]) ).
fof(f111,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f250,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f240,f92]) ).
fof(f240,plain,
( ! [X8] : multiply(sk_c11,multiply(sk_c3,X8)) = X8
| ~ spl0_6 ),
inference(forward_demodulation,[],[f226,f1]) ).
fof(f226,plain,
( ! [X8] : multiply(identity,X8) = multiply(sk_c11,multiply(sk_c3,X8))
| ~ spl0_6 ),
inference(superposition,[],[f3,f219]) ).
fof(f219,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl0_6 ),
inference(superposition,[],[f2,f82]) ).
fof(f337,plain,
( spl0_24
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f336,f129,f123,f118,f109,f104,f90,f80,f210]) ).
fof(f118,plain,
( spl0_13
<=> sk_c11 = multiply(sk_c8,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f336,plain,
( identity = sk_c11
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f302,f335]) ).
fof(f335,plain,
( identity = inverse(identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f323,f313]) ).
fof(f313,plain,
( identity = sk_c7
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f244,f306]) ).
fof(f306,plain,
( ! [X13] : multiply(sk_c8,X13) = X13
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f285,f305]) ).
fof(f305,plain,
( ! [X10] : multiply(sk_c10,X10) = X10
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f299,f1]) ).
fof(f299,plain,
( ! [X10] : multiply(sk_c10,X10) = multiply(identity,X10)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f284,f293]) ).
fof(f293,plain,
( identity = sk_c3
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f282,f219]) ).
fof(f284,plain,
( ! [X10] : multiply(sk_c10,X10) = multiply(sk_c3,X10)
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f228,f282]) ).
fof(f228,plain,
( ! [X10] : multiply(sk_c10,X10) = multiply(sk_c3,multiply(sk_c11,X10))
| ~ spl0_8 ),
inference(superposition,[],[f3,f92]) ).
fof(f285,plain,
( ! [X13] : multiply(sk_c8,multiply(sk_c10,X13)) = X13
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f231,f282]) ).
fof(f231,plain,
( ! [X13] : multiply(sk_c8,multiply(sk_c10,X13)) = multiply(sk_c11,X13)
| ~ spl0_13 ),
inference(superposition,[],[f3,f120]) ).
fof(f120,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f323,plain,
( identity = inverse(sk_c7)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f274,f316]) ).
fof(f316,plain,
( identity = sk_c5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f281,f310]) ).
fof(f310,plain,
( ! [X17] : multiply(sk_c5,X17) = X17
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f278,f306]) ).
fof(f281,plain,
( sk_c5 = multiply(sk_c5,identity)
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f266,f272]) ).
fof(f274,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f106,f272]) ).
fof(f302,plain,
( sk_c11 = inverse(identity)
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f82,f293]) ).
fof(f206,plain,
( ~ spl0_22
| ~ spl0_23
| ~ spl0_1
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f185,f155,f58,f203,f199]) ).
fof(f155,plain,
( spl0_16
<=> ! [X4] :
( sk_c9 != inverse(X4)
| sk_c11 != multiply(X4,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f185,plain,
( sk_c11 != sk_c10
| sk_c9 != inverse(sk_c11)
| ~ spl0_1
| ~ spl0_16 ),
inference(superposition,[],[f156,f60]) ).
fof(f156,plain,
( ! [X4] :
( sk_c11 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f176,plain,
( spl0_6
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f67,f80]) ).
fof(f5,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f174,plain,
( spl0_5
| spl0_8 ),
inference(avatar_split_clause,[],[f44,f90,f76]) ).
fof(f44,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f173,plain,
( spl0_14
| spl0_3 ),
inference(avatar_split_clause,[],[f12,f67,f123]) ).
fof(f12,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c8 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f169,plain,
( spl0_13
| spl0_9 ),
inference(avatar_split_clause,[],[f40,f95,f118]) ).
fof(f40,axiom,
( sk_c11 = multiply(sk_c2,sk_c9)
| sk_c11 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f166,plain,
( spl0_16
| spl0_17
| spl0_18
| ~ spl0_1
| spl0_17
| spl0_19 ),
inference(avatar_split_clause,[],[f56,f164,f158,f58,f161,f158,f155]) ).
fof(f56,plain,
! [X3,X6,X9,X7,X4,X5] :
( inverse(X9) != multiply(X9,inverse(inverse(X9)))
| sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| sk_c10 != multiply(X5,sk_c11)
| sk_c10 != multiply(sk_c11,sk_c9)
| sk_c11 != multiply(X7,inverse(inverse(X9)))
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6)
| sk_c11 != inverse(X3)
| sk_c9 != inverse(X4)
| inverse(X7) != inverse(inverse(X9))
| sk_c10 != multiply(X3,sk_c11)
| sk_c11 != inverse(X5)
| sk_c11 != multiply(X4,sk_c9) ),
inference(equality_resolution,[],[f55]) ).
fof(f55,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c11 != multiply(X8,sk_c10)
| sk_c10 != multiply(X5,sk_c11)
| sk_c11 != inverse(X3)
| sk_c11 != multiply(X7,X8)
| inverse(inverse(X9)) != X8
| sk_c11 != multiply(X4,sk_c9)
| sk_c11 != inverse(X5)
| sk_c10 != multiply(X3,sk_c11)
| sk_c9 != multiply(X6,sk_c10)
| inverse(X9) != multiply(X9,X8)
| inverse(X7) != X8
| sk_c9 != inverse(X4)
| sk_c10 != inverse(X6)
| sk_c10 != multiply(sk_c11,sk_c9) ),
inference(equality_resolution,[],[f54]) ).
fof(f54,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c11 != multiply(X8,sk_c10)
| inverse(X9) != X10
| sk_c10 != multiply(X5,sk_c11)
| sk_c11 != inverse(X3)
| sk_c11 != multiply(X7,X8)
| inverse(X10) != X8
| sk_c11 != multiply(X4,sk_c9)
| sk_c11 != inverse(X5)
| sk_c10 != multiply(X3,sk_c11)
| sk_c9 != multiply(X6,sk_c10)
| multiply(X9,X8) != X10
| inverse(X7) != X8
| sk_c9 != inverse(X4)
| sk_c10 != inverse(X6)
| sk_c10 != multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
fof(f153,plain,
( spl0_11
| spl0_3 ),
inference(avatar_split_clause,[],[f11,f67,f104]) ).
fof(f11,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f150,plain,
( spl0_5
| spl0_14 ),
inference(avatar_split_clause,[],[f52,f123,f76]) ).
fof(f52,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
fof(f148,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f27,f71,f58]) ).
fof(f27,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f146,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f14,f90,f100]) ).
fof(f14,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f145,plain,
( spl0_13
| spl0_5 ),
inference(avatar_split_clause,[],[f50,f76,f118]) ).
fof(f50,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c11 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
fof(f143,plain,
( spl0_12
| spl0_9 ),
inference(avatar_split_clause,[],[f38,f95,f109]) ).
fof(f38,axiom,
( sk_c11 = multiply(sk_c2,sk_c9)
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f141,plain,
( spl0_12
| spl0_3 ),
inference(avatar_split_clause,[],[f8,f67,f109]) ).
fof(f8,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f140,plain,
( spl0_15
| spl0_3 ),
inference(avatar_split_clause,[],[f9,f67,f129]) ).
fof(f9,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f139,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f39,f129,f95]) ).
fof(f39,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c11 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f137,plain,
( spl0_9
| spl0_11 ),
inference(avatar_split_clause,[],[f41,f104,f95]) ).
fof(f41,axiom,
( inverse(sk_c7) = sk_c6
| sk_c11 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f135,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f51,f76,f104]) ).
fof(f51,axiom,
( sk_c9 = inverse(sk_c2)
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).
fof(f133,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f15,f80,f100]) ).
fof(f15,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f132,plain,
( spl0_5
| spl0_15 ),
inference(avatar_split_clause,[],[f49,f129,f76]) ).
fof(f49,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f127,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f34,f90,f95]) ).
fof(f34,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c11 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f126,plain,
( spl0_14
| spl0_9 ),
inference(avatar_split_clause,[],[f42,f95,f123]) ).
fof(f42,axiom,
( sk_c11 = multiply(sk_c2,sk_c9)
| sk_c8 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f114,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f35,f80,f95]) ).
fof(f35,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c11 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f112,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f48,f76,f109]) ).
fof(f48,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f93,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f4,f67,f90]) ).
fof(f4,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f83,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f45,f80,f76]) ).
fof(f45,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f65,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f26,f62,f58]) ).
fof(f26,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP273-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 22:27:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (21842)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (21833)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (21834)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.51 % (21846)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.51 % (21849)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.52 % (21857)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.52 % (21836)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 % (21850)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (21855)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.52 % (21837)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.53 % (21840)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (21835)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (21832)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.53 % (21845)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (21841)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (21838)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (21843)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 TRYING [1]
% 1.42/0.53 TRYING [1]
% 1.42/0.53 TRYING [2]
% 1.42/0.54 % (21839)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.42/0.54 % (21847)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.42/0.54 % (21861)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.42/0.54 % (21856)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.42/0.54 % (21854)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)
% 1.42/0.54 % (21859)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.42/0.54 % (21844)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.42/0.54 % (21853)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.42/0.54 % (21848)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.42/0.54 TRYING [2]
% 1.42/0.54 % (21851)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)
% 1.42/0.55 TRYING [3]
% 1.42/0.55 % (21860)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.42/0.55 % (21840)Instruction limit reached!
% 1.42/0.55 % (21840)------------------------------
% 1.42/0.55 % (21840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.55 % (21858)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.56/0.55 TRYING [2]
% 1.56/0.55 TRYING [3]
% 1.56/0.55 % (21840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.55 % (21840)Termination reason: Unknown
% 1.56/0.55 % (21840)Termination phase: Saturation
% 1.56/0.55
% 1.56/0.55 % (21840)Memory used [KB]: 5500
% 1.56/0.55 % (21840)Time elapsed: 0.146 s
% 1.56/0.55 % (21840)Instructions burned: 3 (million)
% 1.56/0.55 % (21840)------------------------------
% 1.56/0.55 % (21840)------------------------------
% 1.56/0.55 TRYING [3]
% 1.56/0.56 % (21833)First to succeed.
% 1.56/0.56 % (21839)Instruction limit reached!
% 1.56/0.56 % (21839)------------------------------
% 1.56/0.56 % (21839)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56 % (21834)Instruction limit reached!
% 1.56/0.56 % (21834)------------------------------
% 1.56/0.56 % (21834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56 % (21834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56 % (21834)Termination reason: Unknown
% 1.56/0.56 % (21834)Termination phase: Saturation
% 1.56/0.56
% 1.56/0.56 % (21834)Memory used [KB]: 1279
% 1.56/0.56 % (21834)Time elapsed: 0.138 s
% 1.56/0.56 % (21834)Instructions burned: 38 (million)
% 1.56/0.56 % (21834)------------------------------
% 1.56/0.56 % (21834)------------------------------
% 1.56/0.56 % (21852)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.56/0.56 % (21839)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56 % (21839)Termination reason: Unknown
% 1.56/0.56 % (21839)Termination phase: Saturation
% 1.56/0.56
% 1.56/0.56 % (21839)Memory used [KB]: 5500
% 1.56/0.56 % (21839)Time elapsed: 0.114 s
% 1.56/0.56 % (21839)Instructions burned: 7 (million)
% 1.56/0.56 % (21839)------------------------------
% 1.56/0.56 % (21839)------------------------------
% 1.56/0.57 TRYING [4]
% 1.56/0.57 TRYING [4]
% 1.56/0.58 TRYING [4]
% 1.56/0.58 % (21849)Instruction limit reached!
% 1.56/0.58 % (21849)------------------------------
% 1.56/0.58 % (21849)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.58 % (21833)Refutation found. Thanks to Tanya!
% 1.56/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.56/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.59 % (21833)------------------------------
% 1.56/0.59 % (21833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.59 % (21833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.59 % (21833)Termination reason: Refutation
% 1.56/0.59
% 1.56/0.59 % (21833)Memory used [KB]: 6012
% 1.56/0.59 % (21833)Time elapsed: 0.166 s
% 1.56/0.59 % (21833)Instructions burned: 39 (million)
% 1.56/0.59 % (21833)------------------------------
% 1.56/0.59 % (21833)------------------------------
% 1.56/0.59 % (21828)Success in time 0.234 s
%------------------------------------------------------------------------------