TSTP Solution File: GRP282-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP282-1 : 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 : n027.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 16:21:09 EDT 2022
% Result : Unsatisfiable 0.19s 0.58s
% Output : Refutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 72
% Syntax : Number of formulae : 307 ( 6 unt; 0 def)
% Number of atoms : 1289 ( 376 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 1924 ( 942 ~; 957 |; 0 &)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 26 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 82 ( 82 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f838,plain,
$false,
inference(avatar_sat_refutation,[],[f69,f78,f91,f96,f104,f113,f133,f138,f139,f144,f146,f147,f148,f149,f155,f156,f157,f158,f159,f160,f161,f162,f163,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f180,f182,f183,f184,f185,f186,f187,f189,f190,f191,f192,f285,f294,f302,f316,f329,f341,f352,f528,f617,f632,f762,f779,f806,f826,f837]) ).
fof(f837,plain,
( ~ spl3_1
| ~ spl3_7
| ~ spl3_17
| ~ spl3_19
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f836]) ).
fof(f836,plain,
( $false
| ~ spl3_1
| ~ spl3_7
| ~ spl3_17
| ~ spl3_19
| ~ spl3_24 ),
inference(trivial_inequality_removal,[],[f835]) ).
fof(f835,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_7
| ~ spl3_17
| ~ spl3_19
| ~ spl3_24 ),
inference(superposition,[],[f834,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f834,plain,
( identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_7
| ~ spl3_17
| ~ spl3_19
| ~ spl3_24 ),
inference(forward_demodulation,[],[f833,f671]) ).
fof(f671,plain,
( identity = inverse(identity)
| ~ spl3_1
| ~ spl3_17
| ~ spl3_19
| ~ spl3_24 ),
inference(backward_demodulation,[],[f591,f531]) ).
fof(f531,plain,
( identity = sk_c9
| ~ spl3_24 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f530,plain,
( spl3_24
<=> identity = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).
fof(f591,plain,
( identity = inverse(sk_c9)
| ~ spl3_1
| ~ spl3_17
| ~ spl3_19 ),
inference(backward_demodulation,[],[f131,f584]) ).
fof(f584,plain,
( identity = sk_c7
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f582,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f582,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl3_1
| ~ spl3_19 ),
inference(superposition,[],[f203,f371]) ).
fof(f371,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f369,f143]) ).
fof(f143,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl3_19
<=> sk_c6 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f369,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c7)
| ~ spl3_1 ),
inference(superposition,[],[f203,f64]) ).
fof(f64,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f62,plain,
( spl3_1
<=> sk_c7 = multiply(sk_c5,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f203,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f197,f1]) ).
fof(f197,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f131,plain,
( sk_c7 = inverse(sk_c9)
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f130,plain,
( spl3_17
<=> sk_c7 = inverse(sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f833,plain,
( identity != multiply(identity,inverse(identity))
| ~ spl3_1
| ~ spl3_7
| ~ spl3_19
| ~ spl3_24 ),
inference(trivial_inequality_removal,[],[f831]) ).
fof(f831,plain,
( identity != multiply(identity,inverse(identity))
| identity != identity
| ~ spl3_1
| ~ spl3_7
| ~ spl3_19
| ~ spl3_24 ),
inference(superposition,[],[f829,f2]) ).
fof(f829,plain,
( ! [X7] :
( identity != multiply(inverse(X7),identity)
| identity != multiply(X7,inverse(X7)) )
| ~ spl3_1
| ~ spl3_7
| ~ spl3_19
| ~ spl3_24 ),
inference(forward_demodulation,[],[f828,f584]) ).
fof(f828,plain,
( ! [X7] :
( identity != multiply(X7,inverse(X7))
| sk_c7 != multiply(inverse(X7),identity) )
| ~ spl3_1
| ~ spl3_7
| ~ spl3_19
| ~ spl3_24 ),
inference(forward_demodulation,[],[f827,f531]) ).
fof(f827,plain,
( ! [X7] :
( identity != multiply(X7,inverse(X7))
| sk_c7 != multiply(inverse(X7),sk_c9) )
| ~ spl3_1
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f90,f584]) ).
fof(f90,plain,
( ! [X7] :
( sk_c7 != multiply(X7,inverse(X7))
| sk_c7 != multiply(inverse(X7),sk_c9) )
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl3_7
<=> ! [X7] :
( sk_c7 != multiply(inverse(X7),sk_c9)
| sk_c7 != multiply(X7,inverse(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f826,plain,
( ~ spl3_1
| ~ spl3_3
| ~ spl3_8
| ~ spl3_17
| ~ spl3_19
| ~ spl3_21
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f825]) ).
fof(f825,plain,
( $false
| ~ spl3_1
| ~ spl3_3
| ~ spl3_8
| ~ spl3_17
| ~ spl3_19
| ~ spl3_21
| ~ spl3_24 ),
inference(trivial_inequality_removal,[],[f824]) ).
fof(f824,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_3
| ~ spl3_8
| ~ spl3_17
| ~ spl3_19
| ~ spl3_21
| ~ spl3_24 ),
inference(superposition,[],[f823,f671]) ).
fof(f823,plain,
( identity != inverse(identity)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_8
| ~ spl3_17
| ~ spl3_19
| ~ spl3_21
| ~ spl3_24 ),
inference(forward_demodulation,[],[f822,f671]) ).
fof(f822,plain,
( identity != inverse(inverse(identity))
| ~ spl3_1
| ~ spl3_3
| ~ spl3_8
| ~ spl3_17
| ~ spl3_19
| ~ spl3_21
| ~ spl3_24 ),
inference(trivial_inequality_removal,[],[f819]) ).
fof(f819,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl3_1
| ~ spl3_3
| ~ spl3_8
| ~ spl3_17
| ~ spl3_19
| ~ spl3_21
| ~ spl3_24 ),
inference(superposition,[],[f809,f2]) ).
fof(f809,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl3_1
| ~ spl3_3
| ~ spl3_8
| ~ spl3_17
| ~ spl3_19
| ~ spl3_21
| ~ spl3_24 ),
inference(forward_demodulation,[],[f808,f734]) ).
fof(f734,plain,
( identity = sk_c8
| ~ spl3_1
| ~ spl3_3
| ~ spl3_8
| ~ spl3_17
| ~ spl3_19 ),
inference(superposition,[],[f693,f2]) ).
fof(f693,plain,
( ! [X0] : multiply(inverse(sk_c8),X0) = X0
| ~ spl3_1
| ~ spl3_3
| ~ spl3_8
| ~ spl3_17
| ~ spl3_19 ),
inference(superposition,[],[f203,f644]) ).
fof(f644,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl3_1
| ~ spl3_3
| ~ spl3_8
| ~ spl3_17
| ~ spl3_19 ),
inference(backward_demodulation,[],[f628,f641]) ).
fof(f641,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl3_1
| ~ spl3_8
| ~ spl3_17
| ~ spl3_19 ),
inference(forward_demodulation,[],[f640,f608]) ).
fof(f608,plain,
( sk_c9 = sk_c5
| ~ spl3_1
| ~ spl3_8
| ~ spl3_19 ),
inference(backward_demodulation,[],[f558,f598]) ).
fof(f598,plain,
( sk_c9 = multiply(inverse(sk_c6),identity)
| ~ spl3_1
| ~ spl3_8
| ~ spl3_19 ),
inference(backward_demodulation,[],[f375,f584]) ).
fof(f375,plain,
( sk_c9 = multiply(inverse(sk_c6),sk_c7)
| ~ spl3_8 ),
inference(superposition,[],[f203,f95]) ).
fof(f95,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl3_8
<=> sk_c7 = multiply(sk_c6,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f558,plain,
( sk_c5 = multiply(inverse(sk_c6),identity)
| ~ spl3_19 ),
inference(superposition,[],[f203,f368]) ).
fof(f368,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl3_19 ),
inference(superposition,[],[f2,f143]) ).
fof(f640,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl3_1
| ~ spl3_8
| ~ spl3_17
| ~ spl3_19 ),
inference(forward_demodulation,[],[f639,f1]) ).
fof(f639,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(identity,X0))
| ~ spl3_1
| ~ spl3_8
| ~ spl3_17
| ~ spl3_19 ),
inference(forward_demodulation,[],[f594,f612]) ).
fof(f612,plain,
( identity = sk_c6
| ~ spl3_1
| ~ spl3_8
| ~ spl3_17
| ~ spl3_19 ),
inference(backward_demodulation,[],[f610,f591]) ).
fof(f610,plain,
( inverse(sk_c9) = sk_c6
| ~ spl3_1
| ~ spl3_8
| ~ spl3_19 ),
inference(backward_demodulation,[],[f143,f608]) ).
fof(f594,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c6,X0))
| ~ spl3_1
| ~ spl3_19 ),
inference(backward_demodulation,[],[f370,f584]) ).
fof(f370,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
| ~ spl3_1 ),
inference(superposition,[],[f3,f64]) ).
fof(f628,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c9,X0)) = X0
| ~ spl3_1
| ~ spl3_3
| ~ spl3_19 ),
inference(forward_demodulation,[],[f601,f1]) ).
fof(f601,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c9,X0))
| ~ spl3_1
| ~ spl3_3
| ~ spl3_19 ),
inference(backward_demodulation,[],[f499,f584]) ).
fof(f499,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c9,X0)) = multiply(sk_c7,X0)
| ~ spl3_3 ),
inference(superposition,[],[f3,f73]) ).
fof(f73,plain,
( sk_c7 = multiply(sk_c8,sk_c9)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl3_3
<=> sk_c7 = multiply(sk_c8,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f808,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c8 != multiply(X3,identity) )
| ~ spl3_21
| ~ spl3_24 ),
inference(forward_demodulation,[],[f807,f531]) ).
fof(f807,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c9)
| identity != inverse(X3) )
| ~ spl3_21
| ~ spl3_24 ),
inference(forward_demodulation,[],[f166,f531]) ).
fof(f166,plain,
( ! [X3] :
( sk_c9 != inverse(X3)
| sk_c8 != multiply(X3,sk_c9) )
| ~ spl3_21 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f165,plain,
( spl3_21
<=> ! [X3] :
( sk_c9 != inverse(X3)
| sk_c8 != multiply(X3,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).
fof(f806,plain,
( ~ spl3_1
| ~ spl3_3
| ~ spl3_8
| ~ spl3_16
| ~ spl3_17
| ~ spl3_19
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f805]) ).
fof(f805,plain,
( $false
| ~ spl3_1
| ~ spl3_3
| ~ spl3_8
| ~ spl3_16
| ~ spl3_17
| ~ spl3_19
| ~ spl3_24 ),
inference(trivial_inequality_removal,[],[f804]) ).
fof(f804,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_3
| ~ spl3_8
| ~ spl3_16
| ~ spl3_17
| ~ spl3_19
| ~ spl3_24 ),
inference(superposition,[],[f776,f1]) ).
fof(f776,plain,
( identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_8
| ~ spl3_16
| ~ spl3_17
| ~ spl3_19
| ~ spl3_24 ),
inference(trivial_inequality_removal,[],[f775]) ).
fof(f775,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_8
| ~ spl3_16
| ~ spl3_17
| ~ spl3_19
| ~ spl3_24 ),
inference(forward_demodulation,[],[f774,f671]) ).
fof(f774,plain,
( identity != inverse(identity)
| identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_8
| ~ spl3_16
| ~ spl3_17
| ~ spl3_19
| ~ spl3_24 ),
inference(forward_demodulation,[],[f772,f671]) ).
fof(f772,plain,
( identity != inverse(inverse(identity))
| identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_8
| ~ spl3_16
| ~ spl3_17
| ~ spl3_19
| ~ spl3_24 ),
inference(superposition,[],[f765,f2]) ).
fof(f765,plain,
( ! [X5] :
( identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5) )
| ~ spl3_1
| ~ spl3_3
| ~ spl3_8
| ~ spl3_16
| ~ spl3_17
| ~ spl3_19
| ~ spl3_24 ),
inference(forward_demodulation,[],[f764,f734]) ).
fof(f764,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c8 != multiply(identity,multiply(X5,identity)) )
| ~ spl3_16
| ~ spl3_24 ),
inference(forward_demodulation,[],[f763,f531]) ).
fof(f763,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9)) )
| ~ spl3_16
| ~ spl3_24 ),
inference(forward_demodulation,[],[f128,f531]) ).
fof(f128,plain,
( ! [X5] :
( sk_c9 != inverse(X5)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9)) )
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f127,plain,
( spl3_16
<=> ! [X5] :
( sk_c9 != inverse(X5)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f779,plain,
( ~ spl3_1
| spl3_2
| ~ spl3_3
| ~ spl3_8
| ~ spl3_17
| ~ spl3_18
| ~ spl3_19
| ~ spl3_20
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f778]) ).
fof(f778,plain,
( $false
| ~ spl3_1
| spl3_2
| ~ spl3_3
| ~ spl3_8
| ~ spl3_17
| ~ spl3_18
| ~ spl3_19
| ~ spl3_20
| ~ spl3_24 ),
inference(trivial_inequality_removal,[],[f777]) ).
fof(f777,plain,
( identity != identity
| ~ spl3_1
| spl3_2
| ~ spl3_3
| ~ spl3_8
| ~ spl3_17
| ~ spl3_18
| ~ spl3_19
| ~ spl3_20
| ~ spl3_24 ),
inference(superposition,[],[f670,f734]) ).
fof(f670,plain,
( identity != sk_c8
| spl3_2
| ~ spl3_18
| ~ spl3_20
| ~ spl3_24 ),
inference(backward_demodulation,[],[f486,f531]) ).
fof(f486,plain,
( sk_c9 != sk_c8
| spl3_2
| ~ spl3_18
| ~ spl3_20 ),
inference(backward_demodulation,[],[f67,f226]) ).
fof(f226,plain,
( sk_c9 = multiply(sk_c9,sk_c3)
| ~ spl3_18
| ~ spl3_20 ),
inference(forward_demodulation,[],[f219,f137]) ).
fof(f137,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f135,plain,
( spl3_18
<=> sk_c9 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f219,plain,
( sk_c9 = multiply(inverse(sk_c2),sk_c3)
| ~ spl3_20 ),
inference(superposition,[],[f203,f154]) ).
fof(f154,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| ~ spl3_20 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f152,plain,
( spl3_20
<=> sk_c3 = multiply(sk_c2,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).
fof(f67,plain,
( sk_c8 != multiply(sk_c9,sk_c3)
| spl3_2 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl3_2
<=> sk_c8 = multiply(sk_c9,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f762,plain,
( ~ spl3_1
| ~ spl3_3
| ~ spl3_8
| spl3_15
| ~ spl3_17
| ~ spl3_19
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f761]) ).
fof(f761,plain,
( $false
| ~ spl3_1
| ~ spl3_3
| ~ spl3_8
| spl3_15
| ~ spl3_17
| ~ spl3_19
| ~ spl3_24 ),
inference(trivial_inequality_removal,[],[f760]) ).
fof(f760,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_3
| ~ spl3_8
| spl3_15
| ~ spl3_17
| ~ spl3_19
| ~ spl3_24 ),
inference(superposition,[],[f744,f1]) ).
fof(f744,plain,
( identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_8
| spl3_15
| ~ spl3_17
| ~ spl3_19
| ~ spl3_24 ),
inference(backward_demodulation,[],[f683,f734]) ).
fof(f683,plain,
( identity != multiply(identity,sk_c8)
| ~ spl3_1
| spl3_15
| ~ spl3_19
| ~ spl3_24 ),
inference(forward_demodulation,[],[f590,f531]) ).
fof(f590,plain,
( identity != multiply(sk_c9,sk_c8)
| ~ spl3_1
| spl3_15
| ~ spl3_19 ),
inference(backward_demodulation,[],[f125,f584]) ).
fof(f125,plain,
( multiply(sk_c9,sk_c8) != sk_c7
| spl3_15 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f123,plain,
( spl3_15
<=> multiply(sk_c9,sk_c8) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f632,plain,
( spl3_24
| ~ spl3_1
| ~ spl3_17
| ~ spl3_19 ),
inference(avatar_split_clause,[],[f631,f141,f130,f62,f530]) ).
fof(f631,plain,
( identity = sk_c9
| ~ spl3_1
| ~ spl3_17
| ~ spl3_19 ),
inference(forward_demodulation,[],[f605,f2]) ).
fof(f605,plain,
( sk_c9 = multiply(inverse(identity),identity)
| ~ spl3_1
| ~ spl3_17
| ~ spl3_19 ),
inference(backward_demodulation,[],[f555,f584]) ).
fof(f555,plain,
( sk_c9 = multiply(inverse(sk_c7),identity)
| ~ spl3_17 ),
inference(superposition,[],[f203,f364]) ).
fof(f364,plain,
( identity = multiply(sk_c7,sk_c9)
| ~ spl3_17 ),
inference(superposition,[],[f2,f131]) ).
fof(f617,plain,
( spl3_24
| ~ spl3_1
| ~ spl3_8
| ~ spl3_17
| ~ spl3_19 ),
inference(avatar_split_clause,[],[f616,f141,f130,f93,f62,f530]) ).
fof(f616,plain,
( identity = sk_c9
| ~ spl3_1
| ~ spl3_8
| ~ spl3_17
| ~ spl3_19 ),
inference(forward_demodulation,[],[f614,f2]) ).
fof(f614,plain,
( sk_c9 = multiply(inverse(identity),identity)
| ~ spl3_1
| ~ spl3_8
| ~ spl3_17
| ~ spl3_19 ),
inference(backward_demodulation,[],[f598,f612]) ).
fof(f528,plain,
( ~ spl3_11
| ~ spl3_5
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f518,f102,f80,f106]) ).
fof(f106,plain,
( spl3_11
<=> sk_c9 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f80,plain,
( spl3_5
<=> sk_c9 = multiply(sk_c4,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f102,plain,
( spl3_10
<=> ! [X6] :
( sk_c9 != inverse(X6)
| sk_c9 != multiply(X6,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f518,plain,
( sk_c9 != inverse(sk_c4)
| ~ spl3_5
| ~ spl3_10 ),
inference(trivial_inequality_removal,[],[f516]) ).
fof(f516,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c4)
| ~ spl3_5
| ~ spl3_10 ),
inference(superposition,[],[f103,f82]) ).
fof(f82,plain,
( sk_c9 = multiply(sk_c4,sk_c7)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f103,plain,
( ! [X6] :
( sk_c9 != multiply(X6,sk_c7)
| sk_c9 != inverse(X6) )
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f352,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_7
| ~ spl3_12
| ~ spl3_15
| ~ spl3_18
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f351]) ).
fof(f351,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| ~ spl3_7
| ~ spl3_12
| ~ spl3_15
| ~ spl3_18
| ~ spl3_20 ),
inference(trivial_inequality_removal,[],[f350]) ).
fof(f350,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_4
| ~ spl3_7
| ~ spl3_12
| ~ spl3_15
| ~ spl3_18
| ~ spl3_20 ),
inference(superposition,[],[f348,f1]) ).
fof(f348,plain,
( identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_7
| ~ spl3_12
| ~ spl3_15
| ~ spl3_18
| ~ spl3_20 ),
inference(duplicate_literal_removal,[],[f345]) ).
fof(f345,plain,
( identity != multiply(identity,identity)
| identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_7
| ~ spl3_12
| ~ spl3_15
| ~ spl3_18
| ~ spl3_20 ),
inference(superposition,[],[f344,f264]) ).
fof(f264,plain,
( identity = inverse(identity)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| ~ spl3_18
| ~ spl3_20 ),
inference(forward_demodulation,[],[f252,f261]) ).
fof(f261,plain,
( identity = sk_c1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| ~ spl3_18
| ~ spl3_20 ),
inference(forward_demodulation,[],[f254,f2]) ).
fof(f254,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| ~ spl3_18
| ~ spl3_20 ),
inference(backward_demodulation,[],[f215,f250]) ).
fof(f250,plain,
( identity = sk_c9
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| ~ spl3_18
| ~ spl3_20 ),
inference(backward_demodulation,[],[f237,f247]) ).
fof(f247,plain,
( ! [X11] : multiply(sk_c9,X11) = X11
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| ~ spl3_18
| ~ spl3_20 ),
inference(backward_demodulation,[],[f230,f242]) ).
fof(f242,plain,
( ! [X12] : multiply(sk_c1,multiply(sk_c9,X12)) = X12
| ~ spl3_2
| ~ spl3_12
| ~ spl3_18
| ~ spl3_20 ),
inference(backward_demodulation,[],[f240,f241]) ).
fof(f241,plain,
( sk_c1 = sk_c2
| ~ spl3_12
| ~ spl3_18 ),
inference(backward_demodulation,[],[f217,f215]) ).
fof(f217,plain,
( sk_c2 = multiply(inverse(sk_c9),identity)
| ~ spl3_18 ),
inference(superposition,[],[f203,f194]) ).
fof(f194,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl3_18 ),
inference(superposition,[],[f2,f137]) ).
fof(f240,plain,
( ! [X12] : multiply(sk_c2,multiply(sk_c9,X12)) = X12
| ~ spl3_2
| ~ spl3_18
| ~ spl3_20 ),
inference(forward_demodulation,[],[f238,f1]) ).
fof(f238,plain,
( ! [X12] : multiply(identity,X12) = multiply(sk_c2,multiply(sk_c9,X12))
| ~ spl3_2
| ~ spl3_18
| ~ spl3_20 ),
inference(backward_demodulation,[],[f202,f235]) ).
fof(f235,plain,
( identity = sk_c3
| ~ spl3_2
| ~ spl3_18
| ~ spl3_20 ),
inference(forward_demodulation,[],[f231,f2]) ).
fof(f231,plain,
( sk_c3 = multiply(inverse(sk_c9),sk_c9)
| ~ spl3_2
| ~ spl3_18
| ~ spl3_20 ),
inference(backward_demodulation,[],[f216,f227]) ).
fof(f227,plain,
( sk_c9 = sk_c8
| ~ spl3_2
| ~ spl3_18
| ~ spl3_20 ),
inference(backward_demodulation,[],[f68,f226]) ).
fof(f68,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f216,plain,
( sk_c3 = multiply(inverse(sk_c9),sk_c8)
| ~ spl3_2 ),
inference(superposition,[],[f203,f68]) ).
fof(f202,plain,
( ! [X12] : multiply(sk_c2,multiply(sk_c9,X12)) = multiply(sk_c3,X12)
| ~ spl3_20 ),
inference(superposition,[],[f3,f154]) ).
fof(f230,plain,
( ! [X11] : multiply(sk_c9,X11) = multiply(sk_c1,multiply(sk_c9,X11))
| ~ spl3_2
| ~ spl3_4
| ~ spl3_18
| ~ spl3_20 ),
inference(backward_demodulation,[],[f201,f227]) ).
fof(f201,plain,
( ! [X11] : multiply(sk_c1,multiply(sk_c9,X11)) = multiply(sk_c8,X11)
| ~ spl3_4 ),
inference(superposition,[],[f3,f77]) ).
fof(f77,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl3_4
<=> sk_c8 = multiply(sk_c1,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f237,plain,
( sk_c9 = multiply(sk_c9,identity)
| ~ spl3_2
| ~ spl3_18
| ~ spl3_20 ),
inference(backward_demodulation,[],[f226,f235]) ).
fof(f215,plain,
( sk_c1 = multiply(inverse(sk_c9),identity)
| ~ spl3_12 ),
inference(superposition,[],[f203,f193]) ).
fof(f193,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl3_12 ),
inference(superposition,[],[f2,f112]) ).
fof(f112,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl3_12
<=> sk_c9 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f252,plain,
( identity = inverse(sk_c1)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| ~ spl3_18
| ~ spl3_20 ),
inference(backward_demodulation,[],[f112,f250]) ).
fof(f344,plain,
( ! [X7] :
( identity != multiply(inverse(X7),identity)
| identity != multiply(X7,inverse(X7)) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_7
| ~ spl3_12
| ~ spl3_15
| ~ spl3_18
| ~ spl3_20 ),
inference(forward_demodulation,[],[f343,f255]) ).
fof(f255,plain,
( identity = sk_c7
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| ~ spl3_15
| ~ spl3_18
| ~ spl3_20 ),
inference(backward_demodulation,[],[f223,f250]) ).
fof(f223,plain,
( sk_c9 = sk_c7
| ~ spl3_4
| ~ spl3_12
| ~ spl3_15 ),
inference(backward_demodulation,[],[f124,f222]) ).
fof(f222,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl3_4
| ~ spl3_12 ),
inference(forward_demodulation,[],[f218,f112]) ).
fof(f218,plain,
( sk_c9 = multiply(inverse(sk_c1),sk_c8)
| ~ spl3_4 ),
inference(superposition,[],[f203,f77]) ).
fof(f124,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f343,plain,
( ! [X7] :
( sk_c7 != multiply(inverse(X7),identity)
| identity != multiply(X7,inverse(X7)) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_7
| ~ spl3_12
| ~ spl3_15
| ~ spl3_18
| ~ spl3_20 ),
inference(forward_demodulation,[],[f342,f255]) ).
fof(f342,plain,
( ! [X7] :
( sk_c7 != multiply(X7,inverse(X7))
| sk_c7 != multiply(inverse(X7),identity) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_7
| ~ spl3_12
| ~ spl3_18
| ~ spl3_20 ),
inference(forward_demodulation,[],[f90,f250]) ).
fof(f341,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| ~ spl3_18
| ~ spl3_20
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f340]) ).
fof(f340,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| ~ spl3_18
| ~ spl3_20
| ~ spl3_21 ),
inference(trivial_inequality_removal,[],[f339]) ).
fof(f339,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| ~ spl3_18
| ~ spl3_20
| ~ spl3_21 ),
inference(superposition,[],[f337,f264]) ).
fof(f337,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| ~ spl3_18
| ~ spl3_20
| ~ spl3_21 ),
inference(trivial_inequality_removal,[],[f333]) ).
fof(f333,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| ~ spl3_18
| ~ spl3_20
| ~ spl3_21 ),
inference(superposition,[],[f332,f1]) ).
fof(f332,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| ~ spl3_18
| ~ spl3_20
| ~ spl3_21 ),
inference(forward_demodulation,[],[f331,f256]) ).
fof(f256,plain,
( identity = sk_c8
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| ~ spl3_18
| ~ spl3_20 ),
inference(backward_demodulation,[],[f227,f250]) ).
fof(f331,plain,
( ! [X3] :
( sk_c8 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| ~ spl3_18
| ~ spl3_20
| ~ spl3_21 ),
inference(forward_demodulation,[],[f330,f250]) ).
fof(f330,plain,
( ! [X3] :
( sk_c9 != inverse(X3)
| sk_c8 != multiply(X3,identity) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| ~ spl3_18
| ~ spl3_20
| ~ spl3_21 ),
inference(forward_demodulation,[],[f166,f250]) ).
fof(f329,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| ~ spl3_16
| ~ spl3_18
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f328]) ).
fof(f328,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| ~ spl3_16
| ~ spl3_18
| ~ spl3_20 ),
inference(trivial_inequality_removal,[],[f327]) ).
fof(f327,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| ~ spl3_16
| ~ spl3_18
| ~ spl3_20 ),
inference(superposition,[],[f326,f1]) ).
fof(f326,plain,
( identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| ~ spl3_16
| ~ spl3_18
| ~ spl3_20 ),
inference(trivial_inequality_removal,[],[f325]) ).
fof(f325,plain,
( identity != multiply(identity,identity)
| identity != identity
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| ~ spl3_16
| ~ spl3_18
| ~ spl3_20 ),
inference(forward_demodulation,[],[f324,f264]) ).
fof(f324,plain,
( identity != multiply(identity,identity)
| identity != inverse(identity)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| ~ spl3_16
| ~ spl3_18
| ~ spl3_20 ),
inference(forward_demodulation,[],[f322,f264]) ).
fof(f322,plain,
( identity != inverse(inverse(identity))
| identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| ~ spl3_16
| ~ spl3_18
| ~ spl3_20 ),
inference(superposition,[],[f319,f2]) ).
fof(f319,plain,
( ! [X5] :
( identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| ~ spl3_16
| ~ spl3_18
| ~ spl3_20 ),
inference(forward_demodulation,[],[f318,f250]) ).
fof(f318,plain,
( ! [X5] :
( sk_c9 != inverse(X5)
| identity != multiply(identity,multiply(X5,identity)) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| ~ spl3_16
| ~ spl3_18
| ~ spl3_20 ),
inference(forward_demodulation,[],[f317,f256]) ).
fof(f317,plain,
( ! [X5] :
( sk_c8 != multiply(identity,multiply(X5,identity))
| sk_c9 != inverse(X5) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| ~ spl3_16
| ~ spl3_18
| ~ spl3_20 ),
inference(forward_demodulation,[],[f128,f250]) ).
fof(f316,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15
| ~ spl3_18
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f315]) ).
fof(f315,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15
| ~ spl3_18
| ~ spl3_20 ),
inference(trivial_inequality_removal,[],[f314]) ).
fof(f314,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_4
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15
| ~ spl3_18
| ~ spl3_20 ),
inference(superposition,[],[f313,f264]) ).
fof(f313,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15
| ~ spl3_18
| ~ spl3_20 ),
inference(forward_demodulation,[],[f312,f264]) ).
fof(f312,plain,
( identity != inverse(inverse(identity))
| ~ spl3_2
| ~ spl3_4
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15
| ~ spl3_18
| ~ spl3_20 ),
inference(trivial_inequality_removal,[],[f310]) ).
fof(f310,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl3_2
| ~ spl3_4
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15
| ~ spl3_18
| ~ spl3_20 ),
inference(superposition,[],[f307,f2]) ).
fof(f307,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15
| ~ spl3_18
| ~ spl3_20 ),
inference(forward_demodulation,[],[f306,f250]) ).
fof(f306,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c9 != multiply(X6,identity) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15
| ~ spl3_18
| ~ spl3_20 ),
inference(forward_demodulation,[],[f305,f255]) ).
fof(f305,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c9 != multiply(X6,sk_c7) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_10
| ~ spl3_12
| ~ spl3_18
| ~ spl3_20 ),
inference(forward_demodulation,[],[f103,f250]) ).
fof(f302,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| ~ spl3_15
| spl3_17
| ~ spl3_18
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f301]) ).
fof(f301,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| ~ spl3_15
| spl3_17
| ~ spl3_18
| ~ spl3_20 ),
inference(trivial_inequality_removal,[],[f300]) ).
fof(f300,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| ~ spl3_15
| spl3_17
| ~ spl3_18
| ~ spl3_20 ),
inference(superposition,[],[f296,f255]) ).
fof(f296,plain,
( identity != sk_c7
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| spl3_17
| ~ spl3_18
| ~ spl3_20 ),
inference(forward_demodulation,[],[f295,f264]) ).
fof(f295,plain,
( sk_c7 != inverse(identity)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| spl3_17
| ~ spl3_18
| ~ spl3_20 ),
inference(forward_demodulation,[],[f132,f250]) ).
fof(f132,plain,
( sk_c7 != inverse(sk_c9)
| spl3_17 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f294,plain,
( ~ spl3_2
| spl3_3
| ~ spl3_4
| ~ spl3_12
| ~ spl3_15
| ~ spl3_18
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f293]) ).
fof(f293,plain,
( $false
| ~ spl3_2
| spl3_3
| ~ spl3_4
| ~ spl3_12
| ~ spl3_15
| ~ spl3_18
| ~ spl3_20 ),
inference(trivial_inequality_removal,[],[f292]) ).
fof(f292,plain,
( identity != identity
| ~ spl3_2
| spl3_3
| ~ spl3_4
| ~ spl3_12
| ~ spl3_15
| ~ spl3_18
| ~ spl3_20 ),
inference(superposition,[],[f291,f255]) ).
fof(f291,plain,
( identity != sk_c7
| ~ spl3_2
| spl3_3
| ~ spl3_4
| ~ spl3_12
| ~ spl3_18
| ~ spl3_20 ),
inference(forward_demodulation,[],[f290,f1]) ).
fof(f290,plain,
( sk_c7 != multiply(identity,identity)
| ~ spl3_2
| spl3_3
| ~ spl3_4
| ~ spl3_12
| ~ spl3_18
| ~ spl3_20 ),
inference(forward_demodulation,[],[f289,f256]) ).
fof(f289,plain,
( sk_c7 != multiply(sk_c8,identity)
| ~ spl3_2
| spl3_3
| ~ spl3_4
| ~ spl3_12
| ~ spl3_18
| ~ spl3_20 ),
inference(forward_demodulation,[],[f72,f250]) ).
fof(f72,plain,
( sk_c7 != multiply(sk_c8,sk_c9)
| spl3_3 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f285,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| spl3_13
| ~ spl3_15
| ~ spl3_18
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f284]) ).
fof(f284,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| spl3_13
| ~ spl3_15
| ~ spl3_18
| ~ spl3_20 ),
inference(trivial_inequality_removal,[],[f283]) ).
fof(f283,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| spl3_13
| ~ spl3_15
| ~ spl3_18
| ~ spl3_20 ),
inference(superposition,[],[f259,f1]) ).
fof(f259,plain,
( identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| spl3_13
| ~ spl3_15
| ~ spl3_18
| ~ spl3_20 ),
inference(backward_demodulation,[],[f234,f250]) ).
fof(f234,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| spl3_13
| ~ spl3_15
| ~ spl3_18
| ~ spl3_20 ),
inference(backward_demodulation,[],[f225,f227]) ).
fof(f225,plain,
( sk_c9 != multiply(sk_c8,sk_c9)
| ~ spl3_4
| ~ spl3_12
| spl3_13
| ~ spl3_15 ),
inference(backward_demodulation,[],[f117,f223]) ).
fof(f117,plain,
( sk_c9 != multiply(sk_c8,sk_c7)
| spl3_13 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f115,plain,
( spl3_13
<=> sk_c9 = multiply(sk_c8,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f192,plain,
( spl3_4
| spl3_5 ),
inference(avatar_split_clause,[],[f16,f80,f75]) ).
fof(f16,axiom,
( sk_c9 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f191,plain,
( spl3_8
| spl3_12 ),
inference(avatar_split_clause,[],[f27,f110,f93]) ).
fof(f27,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c7 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f190,plain,
( spl3_2
| spl3_3 ),
inference(avatar_split_clause,[],[f28,f71,f66]) ).
fof(f28,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f189,plain,
( spl3_1
| spl3_18 ),
inference(avatar_split_clause,[],[f49,f135,f62]) ).
fof(f49,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
fof(f187,plain,
( spl3_18
| spl3_11 ),
inference(avatar_split_clause,[],[f47,f106,f135]) ).
fof(f47,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
fof(f186,plain,
( spl3_20
| spl3_13 ),
inference(avatar_split_clause,[],[f37,f115,f152]) ).
fof(f37,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f185,plain,
( spl3_18
| spl3_19 ),
inference(avatar_split_clause,[],[f50,f141,f135]) ).
fof(f50,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
fof(f184,plain,
( spl3_12
| spl3_1 ),
inference(avatar_split_clause,[],[f25,f62,f110]) ).
fof(f25,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f183,plain,
( spl3_18
| spl3_5 ),
inference(avatar_split_clause,[],[f48,f80,f135]) ).
fof(f48,axiom,
( sk_c9 = multiply(sk_c4,sk_c7)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
fof(f182,plain,
( spl3_20
| spl3_8 ),
inference(avatar_split_clause,[],[f43,f93,f152]) ).
fof(f43,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f180,plain,
( spl3_17
| spl3_4 ),
inference(avatar_split_clause,[],[f14,f75,f130]) ).
fof(f14,axiom,
( sk_c8 = multiply(sk_c1,sk_c9)
| sk_c7 = inverse(sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f179,plain,
( spl3_20
| spl3_1 ),
inference(avatar_split_clause,[],[f41,f62,f152]) ).
fof(f41,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f178,plain,
( spl3_17
| spl3_15 ),
inference(avatar_split_clause,[],[f6,f123,f130]) ).
fof(f6,axiom,
( multiply(sk_c9,sk_c8) = sk_c7
| sk_c7 = inverse(sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f177,plain,
( spl3_5
| spl3_20 ),
inference(avatar_split_clause,[],[f40,f152,f80]) ).
fof(f40,axiom,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f176,plain,
( spl3_3
| spl3_18 ),
inference(avatar_split_clause,[],[f44,f135,f71]) ).
fof(f44,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c7 = multiply(sk_c8,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f175,plain,
( spl3_20
| spl3_3 ),
inference(avatar_split_clause,[],[f36,f71,f152]) ).
fof(f36,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f174,plain,
( spl3_19
| spl3_20 ),
inference(avatar_split_clause,[],[f42,f152,f141]) ).
fof(f42,axiom,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c6 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f173,plain,
( spl3_11
| spl3_4 ),
inference(avatar_split_clause,[],[f15,f75,f106]) ).
fof(f15,axiom,
( sk_c8 = multiply(sk_c1,sk_c9)
| sk_c9 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f172,plain,
( spl3_8
| spl3_2 ),
inference(avatar_split_clause,[],[f35,f66,f93]) ).
fof(f35,axiom,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c7 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f171,plain,
( spl3_4
| spl3_13 ),
inference(avatar_split_clause,[],[f13,f115,f75]) ).
fof(f13,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f170,plain,
( spl3_19
| spl3_15 ),
inference(avatar_split_clause,[],[f10,f123,f141]) ).
fof(f10,axiom,
( multiply(sk_c9,sk_c8) = sk_c7
| sk_c6 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f169,plain,
( spl3_3
| spl3_15 ),
inference(avatar_split_clause,[],[f4,f123,f71]) ).
fof(f4,axiom,
( multiply(sk_c9,sk_c8) = sk_c7
| sk_c7 = multiply(sk_c8,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f168,plain,
( spl3_18
| spl3_13 ),
inference(avatar_split_clause,[],[f45,f115,f135]) ).
fof(f45,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f167,plain,
( spl3_14
| spl3_21 ),
inference(avatar_split_clause,[],[f55,f165,f119]) ).
fof(f119,plain,
( spl3_14
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f55,plain,
! [X3] :
( sk_c9 != inverse(X3)
| sk_c8 != multiply(X3,sk_c9)
| sP0 ),
inference(cnf_transformation,[],[f55_D]) ).
fof(f55_D,plain,
( ! [X3] :
( sk_c9 != inverse(X3)
| sk_c8 != multiply(X3,sk_c9) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f163,plain,
( spl3_1
| spl3_15 ),
inference(avatar_split_clause,[],[f9,f123,f62]) ).
fof(f9,axiom,
( multiply(sk_c9,sk_c8) = sk_c7
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f162,plain,
( spl3_12
| spl3_13 ),
inference(avatar_split_clause,[],[f21,f115,f110]) ).
fof(f21,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f161,plain,
( spl3_20
| spl3_17 ),
inference(avatar_split_clause,[],[f38,f130,f152]) ).
fof(f38,axiom,
( sk_c7 = inverse(sk_c9)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f160,plain,
( spl3_4
| spl3_19 ),
inference(avatar_split_clause,[],[f18,f141,f75]) ).
fof(f18,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f159,plain,
( spl3_13
| spl3_2 ),
inference(avatar_split_clause,[],[f29,f66,f115]) ).
fof(f29,axiom,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c9 = multiply(sk_c8,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f158,plain,
( spl3_1
| spl3_4 ),
inference(avatar_split_clause,[],[f17,f75,f62]) ).
fof(f17,axiom,
( sk_c8 = multiply(sk_c1,sk_c9)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f157,plain,
( spl3_17
| spl3_2 ),
inference(avatar_split_clause,[],[f30,f66,f130]) ).
fof(f30,axiom,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c7 = inverse(sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f156,plain,
( spl3_2
| spl3_19 ),
inference(avatar_split_clause,[],[f34,f141,f66]) ).
fof(f34,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f155,plain,
( spl3_11
| spl3_20 ),
inference(avatar_split_clause,[],[f39,f152,f106]) ).
fof(f39,axiom,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c9 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f149,plain,
( spl3_12
| spl3_5 ),
inference(avatar_split_clause,[],[f24,f80,f110]) ).
fof(f24,axiom,
( sk_c9 = multiply(sk_c4,sk_c7)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f148,plain,
( spl3_8
| spl3_15 ),
inference(avatar_split_clause,[],[f11,f123,f93]) ).
fof(f11,axiom,
( multiply(sk_c9,sk_c8) = sk_c7
| sk_c7 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f147,plain,
( spl3_12
| spl3_17 ),
inference(avatar_split_clause,[],[f22,f130,f110]) ).
fof(f22,axiom,
( sk_c7 = inverse(sk_c9)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f146,plain,
( spl3_18
| spl3_17 ),
inference(avatar_split_clause,[],[f46,f130,f135]) ).
fof(f46,axiom,
( sk_c7 = inverse(sk_c9)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f144,plain,
( spl3_12
| spl3_19 ),
inference(avatar_split_clause,[],[f26,f141,f110]) ).
fof(f26,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f139,plain,
( spl3_12
| spl3_3 ),
inference(avatar_split_clause,[],[f20,f71,f110]) ).
fof(f20,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f138,plain,
( spl3_8
| spl3_18 ),
inference(avatar_split_clause,[],[f51,f135,f93]) ).
fof(f51,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c7 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
fof(f133,plain,
( ~ spl3_13
| ~ spl3_14
| ~ spl3_6
| ~ spl3_15
| ~ spl3_9
| ~ spl3_3
| spl3_16
| ~ spl3_17 ),
inference(avatar_split_clause,[],[f60,f130,f127,f71,f98,f123,f85,f119,f115]) ).
fof(f85,plain,
( spl3_6
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f98,plain,
( spl3_9
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f60,plain,
! [X5] :
( sk_c7 != inverse(sk_c9)
| sk_c9 != inverse(X5)
| sk_c7 != multiply(sk_c8,sk_c9)
| ~ sP1
| multiply(sk_c9,sk_c8) != sk_c7
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| ~ sP2
| ~ sP0
| sk_c9 != multiply(sk_c8,sk_c7) ),
inference(general_splitting,[],[f58,f59_D]) ).
fof(f59,plain,
! [X7] :
( sk_c7 != multiply(inverse(X7),sk_c9)
| sP2
| sk_c7 != multiply(X7,inverse(X7)) ),
inference(cnf_transformation,[],[f59_D]) ).
fof(f59_D,plain,
( ! [X7] :
( sk_c7 != multiply(inverse(X7),sk_c9)
| sk_c7 != multiply(X7,inverse(X7)) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f58,plain,
! [X7,X5] :
( sk_c7 != inverse(sk_c9)
| sk_c7 != multiply(X7,inverse(X7))
| sk_c7 != multiply(sk_c8,sk_c9)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| multiply(sk_c9,sk_c8) != sk_c7
| sk_c9 != inverse(X5)
| sk_c9 != multiply(sk_c8,sk_c7)
| sk_c7 != multiply(inverse(X7),sk_c9)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f56,f57_D]) ).
fof(f57,plain,
! [X6] :
( sk_c9 != inverse(X6)
| sP1
| sk_c9 != multiply(X6,sk_c7) ),
inference(cnf_transformation,[],[f57_D]) ).
fof(f57_D,plain,
( ! [X6] :
( sk_c9 != inverse(X6)
| sk_c9 != multiply(X6,sk_c7) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f56,plain,
! [X6,X7,X5] :
( sk_c7 != inverse(sk_c9)
| sk_c7 != multiply(X7,inverse(X7))
| sk_c7 != multiply(sk_c8,sk_c9)
| sk_c9 != multiply(X6,sk_c7)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| multiply(sk_c9,sk_c8) != sk_c7
| sk_c9 != inverse(X6)
| sk_c9 != inverse(X5)
| sk_c9 != multiply(sk_c8,sk_c7)
| sk_c7 != multiply(inverse(X7),sk_c9)
| ~ sP0 ),
inference(general_splitting,[],[f54,f55_D]) ).
fof(f54,plain,
! [X3,X6,X7,X5] :
( sk_c7 != inverse(sk_c9)
| sk_c7 != multiply(X7,inverse(X7))
| sk_c7 != multiply(sk_c8,sk_c9)
| sk_c9 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c9)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| sk_c9 != inverse(X3)
| multiply(sk_c9,sk_c8) != sk_c7
| sk_c9 != inverse(X6)
| sk_c9 != inverse(X5)
| sk_c9 != multiply(sk_c8,sk_c7)
| sk_c7 != multiply(inverse(X7),sk_c9) ),
inference(equality_resolution,[],[f53]) ).
fof(f53,plain,
! [X3,X8,X6,X7,X5] :
( sk_c7 != inverse(sk_c9)
| sk_c7 != multiply(X7,X8)
| sk_c7 != multiply(sk_c8,sk_c9)
| sk_c9 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c9)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| sk_c9 != inverse(X3)
| multiply(sk_c9,sk_c8) != sk_c7
| sk_c9 != inverse(X6)
| sk_c9 != inverse(X5)
| sk_c9 != multiply(sk_c8,sk_c7)
| sk_c7 != multiply(X8,sk_c9)
| inverse(X7) != X8 ),
inference(equality_resolution,[],[f52]) ).
fof(f52,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c7 != inverse(sk_c9)
| sk_c7 != multiply(X7,X8)
| sk_c7 != multiply(sk_c8,sk_c9)
| sk_c9 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c9)
| sk_c8 != multiply(sk_c9,X4)
| sk_c9 != inverse(X3)
| multiply(sk_c9,sk_c8) != sk_c7
| sk_c9 != inverse(X6)
| sk_c9 != inverse(X5)
| multiply(X5,sk_c9) != X4
| sk_c9 != multiply(sk_c8,sk_c7)
| sk_c7 != multiply(X8,sk_c9)
| inverse(X7) != X8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f113,plain,
( spl3_11
| spl3_12 ),
inference(avatar_split_clause,[],[f23,f110,f106]) ).
fof(f23,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c9 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f104,plain,
( spl3_9
| spl3_10 ),
inference(avatar_split_clause,[],[f57,f102,f98]) ).
fof(f96,plain,
( spl3_4
| spl3_8 ),
inference(avatar_split_clause,[],[f19,f93,f75]) ).
fof(f19,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f91,plain,
( spl3_6
| spl3_7 ),
inference(avatar_split_clause,[],[f59,f89,f85]) ).
fof(f78,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f12,f75,f71]) ).
fof(f12,axiom,
( sk_c8 = multiply(sk_c1,sk_c9)
| sk_c7 = multiply(sk_c8,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f69,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f33,f66,f62]) ).
fof(f33,axiom,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP282-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.13 % 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 : n027.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 22:39:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (26030)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)
% 0.19/0.48 % (26022)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.48 % (26022)Instruction limit reached!
% 0.19/0.48 % (26022)------------------------------
% 0.19/0.48 % (26022)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (26022)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (26022)Termination reason: Unknown
% 0.19/0.48 % (26022)Termination phase: Saturation
% 0.19/0.48
% 0.19/0.48 % (26022)Memory used [KB]: 5500
% 0.19/0.48 % (26022)Time elapsed: 0.078 s
% 0.19/0.48 % (26022)Instructions burned: 7 (million)
% 0.19/0.48 % (26022)------------------------------
% 0.19/0.48 % (26022)------------------------------
% 0.19/0.51 % (26024)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)
% 0.19/0.51 % (26019)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 % (26018)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)
% 0.19/0.51 % (26020)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)
% 0.19/0.52 % (26037)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)
% 0.19/0.52 % (26016)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)
% 0.19/0.52 % (26027)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 % (26017)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 % (26015)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)
% 0.19/0.52 % (26025)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (26035)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 % (26021)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 % (26036)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53 % (26034)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)
% 0.19/0.53 % (26023)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 % (26023)Instruction limit reached!
% 0.19/0.53 % (26023)------------------------------
% 0.19/0.53 % (26023)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (26023)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (26023)Termination reason: Unknown
% 0.19/0.53 % (26023)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (26023)Memory used [KB]: 5373
% 0.19/0.53 % (26023)Time elapsed: 0.002 s
% 0.19/0.53 % (26023)Instructions burned: 2 (million)
% 0.19/0.53 % (26023)------------------------------
% 0.19/0.53 % (26023)------------------------------
% 0.19/0.53 % (26043)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 % (26029)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)
% 0.19/0.53 % (26044)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 % (26042)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 % (26039)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 % (26032)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54 % (26038)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)
% 0.19/0.54 TRYING [1]
% 0.19/0.54 % (26041)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 TRYING [2]
% 0.19/0.54 TRYING [3]
% 0.19/0.54 % (26028)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (26026)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)
% 0.19/0.55 % (26031)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)
% 0.19/0.55 TRYING [1]
% 0.19/0.56 % (26025)First to succeed.
% 0.19/0.56 % (26033)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.56 % (26040)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.56 TRYING [2]
% 0.19/0.57 TRYING [3]
% 0.19/0.57 TRYING [4]
% 0.19/0.57 TRYING [1]
% 0.19/0.57 TRYING [2]
% 0.19/0.58 TRYING [3]
% 0.19/0.58 % (26017)Instruction limit reached!
% 0.19/0.58 % (26017)------------------------------
% 0.19/0.58 % (26017)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (26017)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (26017)Termination reason: Unknown
% 0.19/0.58 % (26017)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (26017)Memory used [KB]: 1151
% 0.19/0.58 % (26017)Time elapsed: 0.188 s
% 0.19/0.58 % (26017)Instructions burned: 37 (million)
% 0.19/0.58 % (26017)------------------------------
% 0.19/0.58 % (26017)------------------------------
% 0.19/0.58 % (26025)Refutation found. Thanks to Tanya!
% 0.19/0.58 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.62/0.58 % (26025)------------------------------
% 1.62/0.58 % (26025)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.58 % (26025)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.58 % (26025)Termination reason: Refutation
% 1.62/0.58
% 1.62/0.58 % (26025)Memory used [KB]: 5884
% 1.62/0.58 % (26025)Time elapsed: 0.163 s
% 1.62/0.58 % (26025)Instructions burned: 24 (million)
% 1.62/0.58 % (26025)------------------------------
% 1.62/0.58 % (26025)------------------------------
% 1.62/0.58 % (26014)Success in time 0.232 s
%------------------------------------------------------------------------------