TSTP Solution File: GRP260-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP260-1 : 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 : n010.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 16:21:04 EDT 2022
% Result : Unsatisfiable 2.13s 0.62s
% Output : Refutation 2.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 62
% Syntax : Number of formulae : 301 ( 14 unt; 0 def)
% Number of atoms : 1274 ( 394 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 1909 ( 936 ~; 956 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 107 ( 107 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1168,plain,
$false,
inference(avatar_sat_refutation,[],[f65,f88,f97,f106,f111,f116,f122,f123,f124,f126,f131,f132,f137,f138,f139,f140,f145,f147,f149,f151,f152,f153,f154,f155,f156,f157,f159,f160,f161,f162,f163,f164,f166,f168,f169,f170,f171,f172,f173,f174,f175,f176,f354,f521,f675,f735,f758,f851,f1000,f1118,f1143,f1164]) ).
fof(f1164,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1163]) ).
fof(f1163,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f1158,f334]) ).
fof(f334,plain,
! [X5] : inverse(inverse(X5)) = X5,
inference(superposition,[],[f204,f306]) ).
fof(f306,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f205,f204]) ).
fof(f205,plain,
! [X6,X5] : multiply(X5,X6) = multiply(inverse(inverse(X5)),X6),
inference(superposition,[],[f189,f189]) ).
fof(f189,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f181,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f181,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
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(f204,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f189,f2]) ).
fof(f1158,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f1155]) ).
fof(f1155,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f1147,f2]) ).
fof(f1147,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1146,f1014]) ).
fof(f1014,plain,
( identity = sk_c9
| ~ spl0_1
| ~ spl0_9 ),
inference(backward_demodulation,[],[f92,f1010]) ).
fof(f1010,plain,
( identity = multiply(sk_c2,sk_c10)
| ~ spl0_1 ),
inference(superposition,[],[f312,f60]) ).
fof(f60,plain,
( sk_c10 = inverse(sk_c2)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl0_1
<=> sk_c10 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f312,plain,
! [X2] : identity = multiply(X2,inverse(X2)),
inference(superposition,[],[f2,f205]) ).
fof(f92,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f90,plain,
( spl0_9
<=> sk_c9 = multiply(sk_c2,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f1146,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c9 != multiply(X4,identity) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1145,f1052]) ).
fof(f1052,plain,
( identity = sk_c10
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f1016,f1048]) ).
fof(f1048,plain,
( identity = sk_c11
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f1019,f1045]) ).
fof(f1045,plain,
( identity = multiply(sk_c1,sk_c11)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f1029,f1040]) ).
fof(f1040,plain,
( sk_c1 = sk_c2
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f1030,f1037]) ).
fof(f1037,plain,
( sk_c1 = inverse(sk_c11)
| ~ spl0_3 ),
inference(superposition,[],[f334,f69]) ).
fof(f69,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl0_3
<=> sk_c11 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1030,plain,
( sk_c2 = inverse(sk_c11)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f1011,f1016]) ).
fof(f1011,plain,
( sk_c2 = inverse(sk_c10)
| ~ spl0_1 ),
inference(superposition,[],[f334,f60]) ).
fof(f1029,plain,
( identity = multiply(sk_c2,sk_c11)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f1010,f1016]) ).
fof(f1019,plain,
( sk_c11 = multiply(sk_c1,sk_c11)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f101,f1016]) ).
fof(f101,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f99,plain,
( spl0_11
<=> multiply(sk_c1,sk_c11) = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1016,plain,
( sk_c11 = sk_c10
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1015,f1]) ).
fof(f1015,plain,
( sk_c10 = multiply(identity,sk_c11)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f83,f1014]) ).
fof(f83,plain,
( sk_c10 = multiply(sk_c9,sk_c11)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f82,plain,
( spl0_7
<=> sk_c10 = multiply(sk_c9,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1145,plain,
( ! [X4] :
( sk_c9 != multiply(X4,sk_c10)
| identity != inverse(X4) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f87,f1052]) ).
fof(f87,plain,
( ! [X4] :
( sk_c10 != inverse(X4)
| sk_c9 != multiply(X4,sk_c10) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl0_8
<=> ! [X4] :
( sk_c10 != inverse(X4)
| sk_c9 != multiply(X4,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1143,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1142]) ).
fof(f1142,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f1133,f357]) ).
fof(f357,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f335,f334]) ).
fof(f335,plain,
identity = inverse(inverse(inverse(identity))),
inference(superposition,[],[f286,f306]) ).
fof(f286,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f189,f204]) ).
fof(f1133,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f1129]) ).
fof(f1129,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f1082,f1]) ).
fof(f1082,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1053,f1048]) ).
fof(f1053,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c11 != multiply(X5,sk_c11) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f1018,f1048]) ).
fof(f1018,plain,
( ! [X5] :
( sk_c11 != multiply(X5,sk_c11)
| sk_c11 != inverse(X5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f80,f1016]) ).
fof(f80,plain,
( ! [X5] :
( sk_c10 != multiply(X5,sk_c11)
| sk_c11 != inverse(X5) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f79,plain,
( spl0_6
<=> ! [X5] :
( sk_c10 != multiply(X5,sk_c11)
| sk_c11 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1118,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1117]) ).
fof(f1117,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| spl0_12
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1116,f357]) ).
fof(f1116,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| spl0_12
| ~ spl0_13 ),
inference(backward_demodulation,[],[f1050,f1109]) ).
fof(f1109,plain,
( identity = sk_c3
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f306,f1054]) ).
fof(f1054,plain,
( identity = multiply(sk_c3,identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(backward_demodulation,[],[f1020,f1048]) ).
fof(f1020,plain,
( sk_c11 = multiply(sk_c3,sk_c11)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(backward_demodulation,[],[f110,f1016]) ).
fof(f110,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl0_13
<=> sk_c10 = multiply(sk_c3,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1050,plain,
( identity != inverse(sk_c3)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| spl0_12 ),
inference(backward_demodulation,[],[f104,f1048]) ).
fof(f104,plain,
( sk_c11 != inverse(sk_c3)
| spl0_12 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl0_12
<=> sk_c11 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1000,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f999]) ).
fof(f999,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f994,f334]) ).
fof(f994,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f990]) ).
fof(f990,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f903,f2]) ).
fof(f903,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f902,f441]) ).
fof(f441,plain,
( identity = sk_c10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f439,f2]) ).
fof(f439,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f189,f381]) ).
fof(f381,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f379,f105]) ).
fof(f105,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f379,plain,
( sk_c11 = multiply(inverse(sk_c3),sk_c10)
| ~ spl0_13 ),
inference(superposition,[],[f189,f110]) ).
fof(f902,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c10 != multiply(X5,identity) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f901,f856]) ).
fof(f856,plain,
( identity = sk_c11
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f855,f441]) ).
fof(f855,plain,
( sk_c11 = sk_c10
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f854,f1]) ).
fof(f854,plain,
( sk_c10 = multiply(identity,sk_c11)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f83,f829]) ).
fof(f829,plain,
( identity = sk_c9
| ~ spl0_1
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f828,f1]) ).
fof(f828,plain,
( sk_c9 = multiply(identity,identity)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f776,f805]) ).
fof(f805,plain,
( identity = sk_c2
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f801,f357]) ).
fof(f801,plain,
( sk_c2 = inverse(identity)
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f334,f768]) ).
fof(f768,plain,
( identity = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f60,f441]) ).
fof(f776,plain,
( sk_c9 = multiply(sk_c2,identity)
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f92,f441]) ).
fof(f901,plain,
( ! [X5] :
( sk_c10 != multiply(X5,sk_c11)
| identity != inverse(X5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f80,f856]) ).
fof(f851,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f850]) ).
fof(f850,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f842,f357]) ).
fof(f842,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f837]) ).
fof(f837,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f831,f1]) ).
fof(f831,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(backward_demodulation,[],[f825,f829]) ).
fof(f825,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c9 != multiply(X4,identity) )
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f738,f441]) ).
fof(f738,plain,
( ! [X4] :
( sk_c9 != multiply(X4,identity)
| sk_c10 != inverse(X4) )
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f87,f441]) ).
fof(f758,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f757]) ).
fof(f757,plain,
( $false
| ~ spl0_2
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f750,f357]) ).
fof(f750,plain,
( identity != inverse(identity)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f745]) ).
fof(f745,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl0_2
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(superposition,[],[f740,f1]) ).
fof(f740,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f739,f441]) ).
fof(f739,plain,
( ! [X4] :
( sk_c10 != inverse(X4)
| identity != multiply(X4,identity) )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f738,f424]) ).
fof(f424,plain,
( identity = sk_c9
| ~ spl0_2
| ~ spl0_15 ),
inference(forward_demodulation,[],[f422,f2]) ).
fof(f422,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_2
| ~ spl0_15 ),
inference(superposition,[],[f189,f375]) ).
fof(f375,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_2
| ~ spl0_15 ),
inference(forward_demodulation,[],[f373,f120]) ).
fof(f120,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl0_15
<=> sk_c10 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f373,plain,
( sk_c10 = multiply(inverse(sk_c4),sk_c9)
| ~ spl0_2 ),
inference(superposition,[],[f189,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(f735,plain,
( ~ spl0_6
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f734]) ).
fof(f734,plain,
( $false
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f726,f334]) ).
fof(f726,plain,
( identity != inverse(inverse(identity))
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f725]) ).
fof(f725,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f678,f2]) ).
fof(f678,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f677,f441]) ).
fof(f677,plain,
( ! [X5] :
( sk_c10 != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f676,f519]) ).
fof(f519,plain,
( identity = sk_c11
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f518,f357]) ).
fof(f518,plain,
( sk_c11 = inverse(identity)
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f496,f507]) ).
fof(f507,plain,
( identity = sk_c3
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(backward_demodulation,[],[f494,f503]) ).
fof(f503,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(backward_demodulation,[],[f459,f500]) ).
fof(f500,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f499,f456]) ).
fof(f456,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c11,X0)) = X0
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f447,f1]) ).
fof(f447,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c11,X0))
| ~ spl0_12
| ~ spl0_13 ),
inference(backward_demodulation,[],[f380,f441]) ).
fof(f380,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| ~ spl0_13 ),
inference(superposition,[],[f3,f110]) ).
fof(f499,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c11,X0)) = multiply(sk_c11,X0)
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(backward_demodulation,[],[f461,f495]) ).
fof(f495,plain,
( sk_c3 = sk_c5
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17 ),
inference(backward_demodulation,[],[f416,f494]) ).
fof(f416,plain,
( sk_c5 = multiply(sk_c6,identity)
| ~ spl0_10
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f414,f395]) ).
fof(f395,plain,
( sk_c6 = inverse(sk_c8)
| ~ spl0_10
| ~ spl0_14 ),
inference(backward_demodulation,[],[f96,f390]) ).
fof(f390,plain,
( sk_c8 = sk_c7
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f389,f306]) ).
fof(f389,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f387,f115]) ).
fof(f115,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl0_14
<=> sk_c8 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f387,plain,
( sk_c7 = multiply(inverse(sk_c6),identity)
| ~ spl0_10 ),
inference(superposition,[],[f189,f361]) ).
fof(f361,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl0_10 ),
inference(superposition,[],[f2,f96]) ).
fof(f96,plain,
( inverse(sk_c7) = sk_c6
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl0_10
<=> inverse(sk_c7) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f414,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl0_17 ),
inference(superposition,[],[f189,f369]) ).
fof(f369,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_17 ),
inference(superposition,[],[f2,f136]) ).
fof(f136,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f134,plain,
( spl0_17
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f461,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c11,X0)) = multiply(sk_c11,X0)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_18 ),
inference(backward_demodulation,[],[f385,f457]) ).
fof(f457,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c8,X0)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f449,f1]) ).
fof(f449,plain,
( ! [X0] : multiply(sk_c8,multiply(identity,X0)) = multiply(sk_c11,X0)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(backward_demodulation,[],[f383,f441]) ).
fof(f383,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c8,multiply(sk_c10,X0))
| ~ spl0_16 ),
inference(superposition,[],[f3,f130]) ).
fof(f130,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl0_16
<=> sk_c11 = multiply(sk_c8,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f385,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sk_c11,X0)
| ~ spl0_18 ),
inference(superposition,[],[f3,f144]) ).
fof(f144,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f142,plain,
( spl0_18
<=> sk_c11 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f459,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c11,X0)) = X0
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(backward_demodulation,[],[f392,f457]) ).
fof(f392,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c8,X0)) = X0
| ~ spl0_10
| ~ spl0_14 ),
inference(backward_demodulation,[],[f360,f390]) ).
fof(f360,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
| ~ spl0_10 ),
inference(superposition,[],[f189,f96]) ).
fof(f494,plain,
( sk_c3 = multiply(sk_c6,identity)
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(backward_demodulation,[],[f404,f491]) ).
fof(f491,plain,
( sk_c6 = inverse(sk_c11)
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(backward_demodulation,[],[f395,f474]) ).
fof(f474,plain,
( sk_c11 = sk_c8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(superposition,[],[f444,f306]) ).
fof(f444,plain,
( sk_c11 = multiply(sk_c8,identity)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(backward_demodulation,[],[f130,f441]) ).
fof(f404,plain,
( sk_c3 = multiply(inverse(sk_c11),identity)
| ~ spl0_12 ),
inference(superposition,[],[f189,f363]) ).
fof(f363,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl0_12 ),
inference(superposition,[],[f2,f105]) ).
fof(f496,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17 ),
inference(backward_demodulation,[],[f480,f495]) ).
fof(f480,plain,
( sk_c11 = inverse(sk_c5)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(backward_demodulation,[],[f136,f474]) ).
fof(f676,plain,
( ! [X5] :
( sk_c11 != inverse(X5)
| sk_c10 != multiply(X5,identity) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f80,f519]) ).
fof(f675,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f674]) ).
fof(f674,plain,
( $false
| ~ spl0_5
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f671]) ).
fof(f671,plain,
( identity != identity
| ~ spl0_5
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f669,f357]) ).
fof(f669,plain,
( ! [X5] : identity != inverse(X5)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f668]) ).
fof(f668,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != inverse(X5) )
| ~ spl0_5
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f667,f357]) ).
fof(f667,plain,
( ! [X5] :
( inverse(X5) != inverse(identity)
| identity != inverse(X5) )
| ~ spl0_5
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f666]) ).
fof(f666,plain,
( ! [X5] :
( identity != inverse(X5)
| inverse(X5) != inverse(identity)
| identity != inverse(X5) )
| ~ spl0_5
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f660,f334]) ).
fof(f660,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != inverse(inverse(inverse(X5)))
| inverse(X5) != inverse(identity) )
| ~ spl0_5
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f547,f2]) ).
fof(f547,plain,
( ! [X9,X7] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| identity != inverse(X7)
| inverse(X9) != multiply(X9,inverse(X7)) )
| ~ spl0_5
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f546,f519]) ).
fof(f546,plain,
( ! [X9,X7] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != inverse(X7) )
| ~ spl0_5
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f545,f519]) ).
fof(f545,plain,
( ! [X9,X7] :
( sk_c11 != inverse(X7)
| identity != sk_c11
| inverse(X9) != multiply(X9,inverse(X7))
| inverse(X7) != inverse(multiply(X9,inverse(X7))) )
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f544,f312]) ).
fof(f544,plain,
( ! [X9,X7] :
( sk_c11 != multiply(X7,inverse(X7))
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != inverse(X7)
| inverse(X7) != inverse(multiply(X9,inverse(X7))) )
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f543,f306]) ).
fof(f543,plain,
( ! [X9,X7] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| sk_c11 != multiply(inverse(X7),identity)
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != multiply(X7,inverse(X7)) )
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f77,f441]) ).
fof(f77,plain,
( ! [X9,X7] :
( sk_c11 != multiply(inverse(X7),sk_c10)
| inverse(X9) != multiply(X9,inverse(X7))
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| sk_c11 != multiply(X7,inverse(X7)) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl0_5
<=> ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(X7))
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| sk_c11 != multiply(X7,inverse(X7))
| sk_c11 != multiply(inverse(X7),sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f521,plain,
( ~ spl0_2
| spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f520]) ).
fof(f520,plain,
( $false
| ~ spl0_2
| spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f519,f453]) ).
fof(f453,plain,
( identity != sk_c11
| ~ spl0_2
| spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(backward_demodulation,[],[f430,f441]) ).
fof(f430,plain,
( sk_c11 != sk_c10
| ~ spl0_2
| spl0_7
| ~ spl0_15 ),
inference(forward_demodulation,[],[f429,f1]) ).
fof(f429,plain,
( sk_c10 != multiply(identity,sk_c11)
| ~ spl0_2
| spl0_7
| ~ spl0_15 ),
inference(backward_demodulation,[],[f84,f424]) ).
fof(f84,plain,
( sk_c10 != multiply(sk_c9,sk_c11)
| spl0_7 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f354,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f353]) ).
fof(f353,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f335,f352]) ).
fof(f352,plain,
( ! [X5] : identity != inverse(X5)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f351]) ).
fof(f351,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != inverse(X5) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f350,f334]) ).
fof(f350,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != inverse(inverse(inverse(X5))) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f346,f312]) ).
fof(f346,plain,
( ! [X5] :
( identity != inverse(inverse(inverse(X5)))
| identity != inverse(X5)
| identity != multiply(X5,inverse(X5)) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f322,f334]) ).
fof(f322,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != inverse(inverse(inverse(inverse(inverse(X5)))))
| identity != multiply(X5,inverse(X5)) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f319]) ).
fof(f319,plain,
( ! [X5] :
( identity != inverse(inverse(inverse(inverse(inverse(X5)))))
| identity != inverse(X5)
| identity != multiply(X5,inverse(X5))
| identity != inverse(X5) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f302,f306]) ).
fof(f302,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != inverse(inverse(inverse(inverse(inverse(X5)))))
| identity != multiply(X5,inverse(X5))
| identity != multiply(inverse(X5),identity) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f299,f268]) ).
fof(f268,plain,
( identity = inverse(identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f250,f266]) ).
fof(f266,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f253,f2]) ).
fof(f253,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f207,f249]) ).
fof(f249,plain,
( identity = sk_c11
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f232,f244]) ).
fof(f244,plain,
( identity = multiply(sk_c1,sk_c11)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f240,f243]) ).
fof(f243,plain,
( sk_c1 = sk_c2
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f236,f207]) ).
fof(f236,plain,
( sk_c2 = multiply(inverse(sk_c11),identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f210,f229]) ).
fof(f229,plain,
( sk_c11 = sk_c10
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f224,f1]) ).
fof(f224,plain,
( sk_c10 = multiply(identity,sk_c11)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f83,f219]) ).
fof(f219,plain,
( identity = sk_c9
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f212,f2]) ).
fof(f212,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f189,f192]) ).
fof(f192,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f190,f92]) ).
fof(f190,plain,
( ! [X10] : multiply(sk_c10,multiply(sk_c2,X10)) = X10
| ~ spl0_1 ),
inference(forward_demodulation,[],[f184,f1]) ).
fof(f184,plain,
( ! [X10] : multiply(sk_c10,multiply(sk_c2,X10)) = multiply(identity,X10)
| ~ spl0_1 ),
inference(superposition,[],[f3,f177]) ).
fof(f177,plain,
( identity = multiply(sk_c10,sk_c2)
| ~ spl0_1 ),
inference(superposition,[],[f2,f60]) ).
fof(f210,plain,
( sk_c2 = multiply(inverse(sk_c10),identity)
| ~ spl0_1 ),
inference(superposition,[],[f189,f177]) ).
fof(f240,plain,
( identity = multiply(sk_c2,sk_c11)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f225,f229]) ).
fof(f225,plain,
( identity = multiply(sk_c2,sk_c10)
| ~ spl0_1
| ~ spl0_9 ),
inference(backward_demodulation,[],[f92,f219]) ).
fof(f232,plain,
( sk_c11 = multiply(sk_c1,sk_c11)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f101,f229]) ).
fof(f207,plain,
( sk_c1 = multiply(inverse(sk_c11),identity)
| ~ spl0_3 ),
inference(superposition,[],[f189,f178]) ).
fof(f178,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl0_3 ),
inference(superposition,[],[f2,f69]) ).
fof(f250,plain,
( identity = inverse(sk_c1)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f69,f249]) ).
fof(f299,plain,
( ! [X5] :
( identity != multiply(inverse(X5),identity)
| identity != inverse(inverse(inverse(inverse(inverse(X5)))))
| identity != multiply(X5,inverse(X5))
| inverse(X5) != inverse(identity) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f265,f286]) ).
fof(f265,plain,
( ! [X9,X7] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| identity != multiply(inverse(X7),identity)
| identity != multiply(X7,inverse(X7))
| inverse(X9) != multiply(X9,inverse(X7)) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f258,f249]) ).
fof(f258,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != multiply(inverse(X7),sk_c11)
| identity != multiply(X7,inverse(X7))
| inverse(X7) != inverse(multiply(X9,inverse(X7))) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f231,f249]) ).
fof(f231,plain,
( ! [X9,X7] :
( sk_c11 != multiply(inverse(X7),sk_c11)
| inverse(X9) != multiply(X9,inverse(X7))
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| sk_c11 != multiply(X7,inverse(X7)) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(backward_demodulation,[],[f77,f229]) ).
fof(f176,plain,
( spl0_2
| spl0_7 ),
inference(avatar_split_clause,[],[f46,f82,f62]) ).
fof(f46,axiom,
( sk_c10 = multiply(sk_c9,sk_c11)
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f175,plain,
( spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f21,f94,f67]) ).
fof(f21,axiom,
( inverse(sk_c7) = sk_c6
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f174,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f26,f62,f90]) ).
fof(f26,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f173,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f45,f103,f82]) ).
fof(f45,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c10 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f172,plain,
( spl0_18
| spl0_9 ),
inference(avatar_split_clause,[],[f28,f90,f142]) ).
fof(f28,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f171,plain,
( spl0_9
| spl0_17 ),
inference(avatar_split_clause,[],[f29,f134,f90]) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f170,plain,
( spl0_16
| spl0_9 ),
inference(avatar_split_clause,[],[f30,f90,f128]) ).
fof(f30,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c11 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f169,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f12,f113,f99]) ).
fof(f12,axiom,
( sk_c8 = inverse(sk_c6)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f168,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f52,f113,f82]) ).
fof(f52,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c10 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
fof(f166,plain,
( spl0_7
| spl0_16 ),
inference(avatar_split_clause,[],[f50,f128,f82]) ).
fof(f50,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c10 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
fof(f164,plain,
( spl0_3
| spl0_17 ),
inference(avatar_split_clause,[],[f19,f134,f67]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f163,plain,
( spl0_1
| spl0_18 ),
inference(avatar_split_clause,[],[f38,f142,f58]) ).
fof(f38,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f162,plain,
( spl0_18
| spl0_3 ),
inference(avatar_split_clause,[],[f18,f67,f142]) ).
fof(f18,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f161,plain,
( spl0_1
| spl0_14 ),
inference(avatar_split_clause,[],[f42,f113,f58]) ).
fof(f42,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f160,plain,
( spl0_1
| spl0_10 ),
inference(avatar_split_clause,[],[f41,f94,f58]) ).
fof(f41,axiom,
( inverse(sk_c7) = sk_c6
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f159,plain,
( spl0_11
| spl0_10 ),
inference(avatar_split_clause,[],[f11,f94,f99]) ).
fof(f11,axiom,
( inverse(sk_c7) = sk_c6
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f157,plain,
( spl0_7
| spl0_18 ),
inference(avatar_split_clause,[],[f48,f142,f82]) ).
fof(f48,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c10 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f156,plain,
( spl0_1
| spl0_17 ),
inference(avatar_split_clause,[],[f39,f134,f58]) ).
fof(f39,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f155,plain,
( spl0_12
| spl0_3 ),
inference(avatar_split_clause,[],[f15,f67,f103]) ).
fof(f15,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f154,plain,
( spl0_15
| spl0_7 ),
inference(avatar_split_clause,[],[f47,f82,f118]) ).
fof(f47,axiom,
( sk_c10 = multiply(sk_c9,sk_c11)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
fof(f153,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f44,f108,f82]) ).
fof(f44,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c10 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f152,plain,
( spl0_12
| spl0_1 ),
inference(avatar_split_clause,[],[f35,f58,f103]) ).
fof(f35,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f151,plain,
( spl0_16
| spl0_11 ),
inference(avatar_split_clause,[],[f10,f99,f128]) ).
fof(f10,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c11 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f149,plain,
( spl0_13
| spl0_11 ),
inference(avatar_split_clause,[],[f4,f99,f108]) ).
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(f147,plain,
( spl0_1
| spl0_15 ),
inference(avatar_split_clause,[],[f37,f118,f58]) ).
fof(f37,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f145,plain,
( spl0_18
| spl0_11 ),
inference(avatar_split_clause,[],[f8,f99,f142]) ).
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_17
| spl0_7 ),
inference(avatar_split_clause,[],[f49,f82,f134]) ).
fof(f49,axiom,
( sk_c10 = multiply(sk_c9,sk_c11)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f139,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f27,f118,f90]) ).
fof(f27,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f138,plain,
( spl0_14
| spl0_3 ),
inference(avatar_split_clause,[],[f22,f67,f113]) ).
fof(f22,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c8 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f137,plain,
( spl0_11
| spl0_17 ),
inference(avatar_split_clause,[],[f9,f134,f99]) ).
fof(f9,axiom,
( sk_c8 = inverse(sk_c5)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f132,plain,
( spl0_16
| spl0_1 ),
inference(avatar_split_clause,[],[f40,f58,f128]) ).
fof(f40,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c11 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f131,plain,
( spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f20,f128,f67]) ).
fof(f20,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f126,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f24,f108,f90]) ).
fof(f24,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f124,plain,
( spl0_13
| spl0_1 ),
inference(avatar_split_clause,[],[f34,f58,f108]) ).
fof(f34,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f123,plain,
( spl0_12
| spl0_9 ),
inference(avatar_split_clause,[],[f25,f90,f103]) ).
fof(f25,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f122,plain,
( spl0_7
| spl0_10 ),
inference(avatar_split_clause,[],[f51,f94,f82]) ).
fof(f51,axiom,
( inverse(sk_c7) = sk_c6
| sk_c10 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).
fof(f116,plain,
( spl0_14
| spl0_9 ),
inference(avatar_split_clause,[],[f32,f90,f113]) ).
fof(f32,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c8 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f111,plain,
( spl0_13
| spl0_3 ),
inference(avatar_split_clause,[],[f14,f67,f108]) ).
fof(f14,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f106,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f5,f103,f99]) ).
fof(f5,axiom,
( sk_c11 = inverse(sk_c3)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f97,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f31,f94,f90]) ).
fof(f31,axiom,
( inverse(sk_c7) = sk_c6
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f88,plain,
( spl0_5
| spl0_6
| ~ spl0_7
| spl0_8
| spl0_6
| spl0_8 ),
inference(avatar_split_clause,[],[f56,f86,f79,f86,f82,f79,f76]) ).
fof(f56,plain,
! [X3,X6,X9,X7,X4,X5] :
( sk_c9 != multiply(X6,sk_c10)
| sk_c11 != inverse(X3)
| sk_c10 != inverse(X4)
| sk_c10 != multiply(X3,sk_c11)
| sk_c10 != multiply(sk_c9,sk_c11)
| sk_c10 != multiply(X5,sk_c11)
| sk_c10 != inverse(X6)
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != multiply(inverse(X7),sk_c10)
| sk_c11 != multiply(X7,inverse(X7))
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| sk_c11 != inverse(X5)
| sk_c9 != multiply(X4,sk_c10) ),
inference(equality_resolution,[],[f55]) ).
fof(f55,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X4,sk_c10)
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X4)
| inverse(multiply(X9,X8)) != X8
| sk_c11 != inverse(X5)
| inverse(X7) != X8
| sk_c10 != multiply(X3,sk_c11)
| sk_c11 != multiply(X7,X8)
| sk_c10 != multiply(sk_c9,sk_c11)
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != inverse(X3)
| sk_c10 != multiply(X5,sk_c11)
| inverse(X9) != multiply(X9,X8) ),
inference(equality_resolution,[],[f54]) ).
fof(f54,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c10 != inverse(X6)
| multiply(X9,X8) != X10
| sk_c9 != multiply(X4,sk_c10)
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X4)
| inverse(X10) != X8
| sk_c11 != inverse(X5)
| inverse(X7) != X8
| sk_c10 != multiply(X3,sk_c11)
| sk_c11 != multiply(X7,X8)
| sk_c10 != multiply(sk_c9,sk_c11)
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != inverse(X3)
| sk_c10 != multiply(X5,sk_c11)
| inverse(X9) != X10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
fof(f65,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f36,f62,f58]) ).
fof(f36,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP260-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:15:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (28247)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)
% 0.19/0.49 % (28256)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (28250)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)
% 0.19/0.50 % (28256)Instruction limit reached!
% 0.19/0.50 % (28256)------------------------------
% 0.19/0.50 % (28256)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (28256)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (28256)Termination reason: Unknown
% 0.19/0.50 % (28256)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (28256)Memory used [KB]: 5500
% 0.19/0.50 % (28256)Time elapsed: 0.003 s
% 0.19/0.50 % (28256)Instructions burned: 3 (million)
% 0.19/0.50 % (28256)------------------------------
% 0.19/0.50 % (28256)------------------------------
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 % (28264)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.51 % (28268)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (28265)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (28261)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 % (28253)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.51 TRYING [3]
% 0.19/0.51 % (28251)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (28254)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)
% 0.19/0.52 % (28263)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)
% 0.19/0.52 % (28249)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)
% 0.19/0.52 % (28262)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (28255)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (28272)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)
% 0.19/0.53 % (28269)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.53 % (28274)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53 % (28277)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 % (28248)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)
% 0.19/0.53 % (28271)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.53 % (28260)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 [4]
% 0.19/0.53 % (28276)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.54 % (28267)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (28273)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54 TRYING [1]
% 0.19/0.54 TRYING [2]
% 0.19/0.54 % (28266)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54 % (28278)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.54 TRYING [3]
% 0.19/0.54 % (28275)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.54 % (28258)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.55 % (28257)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)
% 0.19/0.55 % (28255)Instruction limit reached!
% 0.19/0.55 % (28255)------------------------------
% 0.19/0.55 % (28255)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (28255)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (28255)Termination reason: Unknown
% 0.19/0.55 % (28255)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (28255)Memory used [KB]: 5628
% 0.19/0.55 % (28255)Time elapsed: 0.154 s
% 0.19/0.55 % (28255)Instructions burned: 8 (million)
% 0.19/0.55 % (28255)------------------------------
% 0.19/0.55 % (28255)------------------------------
% 0.19/0.55 % (28270)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.56 % (28250)Instruction limit reached!
% 0.19/0.56 % (28250)------------------------------
% 0.19/0.56 % (28250)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (28250)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (28250)Termination reason: Unknown
% 0.19/0.56 % (28250)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (28250)Memory used [KB]: 6524
% 0.19/0.56 % (28250)Time elapsed: 0.155 s
% 0.19/0.56 % (28250)Instructions burned: 51 (million)
% 0.19/0.56 % (28250)------------------------------
% 0.19/0.56 % (28250)------------------------------
% 0.19/0.56 TRYING [1]
% 0.19/0.56 TRYING [2]
% 0.19/0.57 TRYING [3]
% 0.19/0.57 TRYING [4]
% 0.19/0.57 % (28254)Instruction limit reached!
% 0.19/0.57 % (28254)------------------------------
% 0.19/0.57 % (28254)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (28254)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (28254)Termination reason: Unknown
% 0.19/0.57 % (28254)Termination phase: Finite model building constraint generation
% 0.19/0.57
% 0.19/0.57 % (28254)Memory used [KB]: 6780
% 0.19/0.57 % (28254)Time elapsed: 0.157 s
% 0.19/0.57 % (28254)Instructions burned: 52 (million)
% 0.19/0.57 % (28254)------------------------------
% 0.19/0.57 % (28254)------------------------------
% 0.19/0.58 % (28251)Instruction limit reached!
% 0.19/0.58 % (28251)------------------------------
% 0.19/0.58 % (28251)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (28251)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (28251)Termination reason: Unknown
% 0.19/0.58 % (28251)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (28251)Memory used [KB]: 6268
% 0.19/0.58 % (28251)Time elapsed: 0.184 s
% 0.19/0.58 % (28251)Instructions burned: 51 (million)
% 0.19/0.58 % (28251)------------------------------
% 0.19/0.58 % (28251)------------------------------
% 0.19/0.58 % (28249)Instruction limit reached!
% 0.19/0.58 % (28249)------------------------------
% 0.19/0.58 % (28249)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (28249)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (28249)Termination reason: Unknown
% 0.19/0.58 % (28249)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (28249)Memory used [KB]: 1279
% 0.19/0.58 % (28249)Time elapsed: 0.166 s
% 0.19/0.58 % (28249)Instructions burned: 38 (million)
% 0.19/0.58 % (28249)------------------------------
% 0.19/0.58 % (28249)------------------------------
% 0.19/0.58 TRYING [5]
% 0.19/0.59 % (28248)First to succeed.
% 0.19/0.59 % (28253)Instruction limit reached!
% 0.19/0.59 % (28253)------------------------------
% 0.19/0.59 % (28253)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.60 TRYING [4]
% 1.97/0.61 % (28253)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.61 % (28253)Termination reason: Unknown
% 1.97/0.61 % (28253)Termination phase: Saturation
% 1.97/0.61
% 1.97/0.61 % (28253)Memory used [KB]: 6140
% 1.97/0.61 % (28253)Time elapsed: 0.192 s
% 1.97/0.61 % (28253)Instructions burned: 49 (million)
% 1.97/0.61 % (28253)------------------------------
% 1.97/0.61 % (28253)------------------------------
% 1.97/0.61 % (28315)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.13/0.62 % (28248)Refutation found. Thanks to Tanya!
% 2.13/0.62 % SZS status Unsatisfiable for theBenchmark
% 2.13/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 2.13/0.62 % (28248)------------------------------
% 2.13/0.62 % (28248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.62 % (28248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.62 % (28248)Termination reason: Refutation
% 2.13/0.62
% 2.13/0.62 % (28248)Memory used [KB]: 6012
% 2.13/0.62 % (28248)Time elapsed: 0.182 s
% 2.13/0.62 % (28248)Instructions burned: 40 (million)
% 2.13/0.62 % (28248)------------------------------
% 2.13/0.62 % (28248)------------------------------
% 2.13/0.62 % (28244)Success in time 0.266 s
%------------------------------------------------------------------------------