TSTP Solution File: GRP266-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP266-1 : 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 : n016.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 16:21:05 EDT 2022
% Result : Unsatisfiable 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 59
% Syntax : Number of formulae : 249 ( 6 unt; 0 def)
% Number of atoms : 874 ( 300 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 1219 ( 594 ~; 593 |; 0 &)
% ( 32 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 34 ( 32 usr; 33 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 90 ( 90 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f870,plain,
$false,
inference(avatar_sat_refutation,[],[f83,f91,f100,f110,f115,f116,f121,f122,f123,f125,f133,f138,f139,f168,f173,f176,f177,f179,f182,f183,f185,f186,f188,f195,f198,f199,f201,f202,f206,f235,f246,f307,f323,f347,f366,f391,f430,f433,f444,f510,f586,f624,f728,f817,f867]) ).
fof(f867,plain,
( ~ spl5_4
| ~ spl5_8
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16
| spl5_25
| ~ spl5_37 ),
inference(avatar_contradiction_clause,[],[f866]) ).
fof(f866,plain,
( $false
| ~ spl5_4
| ~ spl5_8
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16
| spl5_25
| ~ spl5_37 ),
inference(subsumption_resolution,[],[f865,f223]) ).
fof(f223,plain,
( identity != sk_c10
| spl5_25 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f221,plain,
( spl5_25
<=> identity = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_25])]) ).
fof(f865,plain,
( identity = sk_c10
| ~ spl5_4
| ~ spl5_8
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16
| ~ spl5_37 ),
inference(forward_demodulation,[],[f753,f857]) ).
fof(f857,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl5_4
| ~ spl5_8
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16
| ~ spl5_37 ),
inference(backward_demodulation,[],[f847,f856]) ).
fof(f856,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c10,X0)) = X0
| ~ spl5_4
| ~ spl5_8
| ~ spl5_15
| ~ spl5_16
| ~ spl5_37 ),
inference(forward_demodulation,[],[f811,f844]) ).
fof(f844,plain,
( sk_c2 = sk_c3
| ~ spl5_4
| ~ spl5_15
| ~ spl5_37 ),
inference(backward_demodulation,[],[f490,f843]) ).
fof(f843,plain,
( sk_c2 = multiply(inverse(sk_c10),identity)
| ~ spl5_4
| ~ spl5_37 ),
inference(forward_demodulation,[],[f495,f378]) ).
fof(f378,plain,
( sk_c10 = sk_c9
| ~ spl5_37 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f377,plain,
( spl5_37
<=> sk_c10 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_37])]) ).
fof(f495,plain,
( sk_c2 = multiply(inverse(sk_c9),identity)
| ~ spl5_4 ),
inference(superposition,[],[f269,f350]) ).
fof(f350,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl5_4 ),
inference(superposition,[],[f2,f82]) ).
fof(f82,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl5_4
<=> sk_c9 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f269,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f258,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f258,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(f490,plain,
( sk_c3 = multiply(inverse(sk_c10),identity)
| ~ spl5_15 ),
inference(superposition,[],[f269,f341]) ).
fof(f341,plain,
( identity = multiply(sk_c10,sk_c3)
| ~ spl5_15 ),
inference(superposition,[],[f2,f137]) ).
fof(f137,plain,
( sk_c10 = inverse(sk_c3)
| ~ spl5_15 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f135,plain,
( spl5_15
<=> sk_c10 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_15])]) ).
fof(f811,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c10,X0)) = X0
| ~ spl5_8
| ~ spl5_16
| ~ spl5_37 ),
inference(forward_demodulation,[],[f810,f1]) ).
fof(f810,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c10,X0))
| ~ spl5_8
| ~ spl5_16
| ~ spl5_37 ),
inference(forward_demodulation,[],[f352,f751]) ).
fof(f751,plain,
( identity = sk_c4
| ~ spl5_16
| ~ spl5_37 ),
inference(forward_demodulation,[],[f750,f2]) ).
fof(f750,plain,
( sk_c4 = multiply(inverse(sk_c10),sk_c10)
| ~ spl5_16
| ~ spl5_37 ),
inference(forward_demodulation,[],[f489,f378]) ).
fof(f489,plain,
( sk_c4 = multiply(inverse(sk_c10),sk_c9)
| ~ spl5_16 ),
inference(superposition,[],[f269,f145]) ).
fof(f145,plain,
( sk_c9 = multiply(sk_c10,sk_c4)
| ~ spl5_16 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f143,plain,
( spl5_16
<=> sk_c9 = multiply(sk_c10,sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_16])]) ).
fof(f352,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c10,X0)) = multiply(sk_c4,X0)
| ~ spl5_8 ),
inference(superposition,[],[f3,f99]) ).
fof(f99,plain,
( sk_c4 = multiply(sk_c3,sk_c10)
| ~ spl5_8 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl5_8
<=> sk_c4 = multiply(sk_c3,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).
fof(f847,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c2,multiply(sk_c10,X0))
| ~ spl5_12
| ~ spl5_37 ),
inference(forward_demodulation,[],[f450,f378]) ).
fof(f450,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c2,multiply(sk_c9,X0))
| ~ spl5_12 ),
inference(superposition,[],[f3,f120]) ).
fof(f120,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| ~ spl5_12 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl5_12
<=> sk_c10 = multiply(sk_c2,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_12])]) ).
fof(f753,plain,
( sk_c10 = multiply(sk_c10,identity)
| ~ spl5_8
| ~ spl5_15
| ~ spl5_16
| ~ spl5_37 ),
inference(backward_demodulation,[],[f507,f751]) ).
fof(f507,plain,
( sk_c10 = multiply(sk_c10,sk_c4)
| ~ spl5_8
| ~ spl5_15 ),
inference(forward_demodulation,[],[f498,f137]) ).
fof(f498,plain,
( sk_c10 = multiply(inverse(sk_c3),sk_c4)
| ~ spl5_8 ),
inference(superposition,[],[f269,f99]) ).
fof(f817,plain,
( ~ spl5_4
| ~ spl5_12
| spl5_28
| ~ spl5_37 ),
inference(avatar_contradiction_clause,[],[f816]) ).
fof(f816,plain,
( $false
| ~ spl5_4
| ~ spl5_12
| spl5_28
| ~ spl5_37 ),
inference(subsumption_resolution,[],[f815,f378]) ).
fof(f815,plain,
( sk_c10 != sk_c9
| ~ spl5_4
| ~ spl5_12
| spl5_28
| ~ spl5_37 ),
inference(forward_demodulation,[],[f241,f794]) ).
fof(f794,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl5_4
| ~ spl5_12
| ~ spl5_37 ),
inference(forward_demodulation,[],[f513,f378]) ).
fof(f513,plain,
( sk_c9 = multiply(sk_c9,sk_c10)
| ~ spl5_4
| ~ spl5_12 ),
inference(forward_demodulation,[],[f497,f82]) ).
fof(f497,plain,
( sk_c9 = multiply(inverse(sk_c2),sk_c10)
| ~ spl5_12 ),
inference(superposition,[],[f269,f120]) ).
fof(f241,plain,
( sk_c9 != multiply(sk_c10,sk_c10)
| spl5_28 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f239,plain,
( spl5_28
<=> sk_c9 = multiply(sk_c10,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_28])]) ).
fof(f728,plain,
( ~ spl5_15
| ~ spl5_25
| spl5_29 ),
inference(avatar_contradiction_clause,[],[f727]) ).
fof(f727,plain,
( $false
| ~ spl5_15
| ~ spl5_25
| spl5_29 ),
inference(subsumption_resolution,[],[f726,f222]) ).
fof(f222,plain,
( identity = sk_c10
| ~ spl5_25 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f726,plain,
( identity != sk_c10
| ~ spl5_15
| ~ spl5_25
| spl5_29 ),
inference(forward_demodulation,[],[f245,f700]) ).
fof(f700,plain,
( identity = inverse(identity)
| ~ spl5_15
| ~ spl5_25 ),
inference(forward_demodulation,[],[f699,f222]) ).
fof(f699,plain,
( sk_c10 = inverse(identity)
| ~ spl5_15
| ~ spl5_25 ),
inference(forward_demodulation,[],[f137,f637]) ).
fof(f637,plain,
( identity = sk_c3
| ~ spl5_15
| ~ spl5_25 ),
inference(forward_demodulation,[],[f636,f2]) ).
fof(f636,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl5_15
| ~ spl5_25 ),
inference(forward_demodulation,[],[f490,f222]) ).
fof(f245,plain,
( sk_c10 != inverse(identity)
| spl5_29 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f243,plain,
( spl5_29
<=> sk_c10 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_29])]) ).
fof(f624,plain,
( ~ spl5_3
| ~ spl5_4
| spl5_7
| ~ spl5_8
| ~ spl5_11
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16
| ~ spl5_25 ),
inference(avatar_contradiction_clause,[],[f623]) ).
fof(f623,plain,
( $false
| ~ spl5_3
| ~ spl5_4
| spl5_7
| ~ spl5_8
| ~ spl5_11
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16
| ~ spl5_25 ),
inference(subsumption_resolution,[],[f622,f222]) ).
fof(f622,plain,
( identity != sk_c10
| ~ spl5_3
| ~ spl5_4
| spl5_7
| ~ spl5_8
| ~ spl5_11
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16 ),
inference(forward_demodulation,[],[f476,f530]) ).
fof(f530,plain,
( identity = sk_c9
| ~ spl5_3
| ~ spl5_4
| ~ spl5_8
| ~ spl5_11
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16 ),
inference(backward_demodulation,[],[f504,f527]) ).
fof(f527,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl5_3
| ~ spl5_4
| ~ spl5_8
| ~ spl5_11
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16 ),
inference(backward_demodulation,[],[f355,f526]) ).
fof(f526,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = X0
| ~ spl5_3
| ~ spl5_4
| ~ spl5_8
| ~ spl5_11
| ~ spl5_12
| ~ spl5_15 ),
inference(backward_demodulation,[],[f473,f522]) ).
fof(f522,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c4,X0)
| ~ spl5_3
| ~ spl5_4
| ~ spl5_8
| ~ spl5_11
| ~ spl5_12 ),
inference(backward_demodulation,[],[f352,f520]) ).
fof(f520,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl5_3
| ~ spl5_4
| ~ spl5_11
| ~ spl5_12 ),
inference(forward_demodulation,[],[f516,f506]) ).
fof(f506,plain,
( ! [X14] : multiply(sk_c7,multiply(sk_c9,X14)) = X14
| ~ spl5_3
| ~ spl5_11 ),
inference(forward_demodulation,[],[f503,f1]) ).
fof(f503,plain,
( ! [X14] : multiply(identity,X14) = multiply(sk_c7,multiply(sk_c9,X14))
| ~ spl5_3
| ~ spl5_11 ),
inference(backward_demodulation,[],[f265,f500]) ).
fof(f500,plain,
( identity = sk_c8
| ~ spl5_3
| ~ spl5_11 ),
inference(forward_demodulation,[],[f493,f2]) ).
fof(f493,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c9)
| ~ spl5_3
| ~ spl5_11 ),
inference(superposition,[],[f269,f272]) ).
fof(f272,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl5_3
| ~ spl5_11 ),
inference(superposition,[],[f267,f114]) ).
fof(f114,plain,
( sk_c8 = multiply(sk_c7,sk_c9)
| ~ spl5_11 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f112,plain,
( spl5_11
<=> sk_c8 = multiply(sk_c7,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).
fof(f267,plain,
( ! [X13] : multiply(sk_c9,multiply(sk_c7,X13)) = X13
| ~ spl5_3 ),
inference(forward_demodulation,[],[f264,f1]) ).
fof(f264,plain,
( ! [X13] : multiply(sk_c9,multiply(sk_c7,X13)) = multiply(identity,X13)
| ~ spl5_3 ),
inference(superposition,[],[f3,f210]) ).
fof(f210,plain,
( identity = multiply(sk_c9,sk_c7)
| ~ spl5_3 ),
inference(superposition,[],[f2,f78]) ).
fof(f78,plain,
( sk_c9 = inverse(sk_c7)
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl5_3
<=> sk_c9 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f265,plain,
( ! [X14] : multiply(sk_c8,X14) = multiply(sk_c7,multiply(sk_c9,X14))
| ~ spl5_11 ),
inference(superposition,[],[f3,f114]) ).
fof(f516,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c7,multiply(sk_c9,X0))
| ~ spl5_3
| ~ spl5_4
| ~ spl5_12 ),
inference(backward_demodulation,[],[f450,f514]) ).
fof(f514,plain,
( sk_c7 = sk_c2
| ~ spl5_3
| ~ spl5_4 ),
inference(backward_demodulation,[],[f495,f494]) ).
fof(f494,plain,
( sk_c7 = multiply(inverse(sk_c9),identity)
| ~ spl5_3 ),
inference(superposition,[],[f269,f210]) ).
fof(f473,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c3,X0)) = X0
| ~ spl5_15 ),
inference(forward_demodulation,[],[f472,f1]) ).
fof(f472,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c3,X0))
| ~ spl5_15 ),
inference(superposition,[],[f3,f341]) ).
fof(f355,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c10,multiply(sk_c4,X0))
| ~ spl5_16 ),
inference(superposition,[],[f3,f145]) ).
fof(f504,plain,
( sk_c9 = multiply(sk_c9,identity)
| ~ spl5_3
| ~ spl5_11 ),
inference(backward_demodulation,[],[f272,f500]) ).
fof(f476,plain,
( sk_c10 != sk_c9
| ~ spl5_3
| spl5_7
| ~ spl5_11 ),
inference(superposition,[],[f94,f272]) ).
fof(f94,plain,
( sk_c10 != multiply(sk_c9,sk_c8)
| spl5_7 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl5_7
<=> sk_c10 = multiply(sk_c9,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
fof(f586,plain,
( ~ spl5_3
| ~ spl5_4
| ~ spl5_8
| ~ spl5_11
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16
| spl5_25 ),
inference(avatar_contradiction_clause,[],[f585]) ).
fof(f585,plain,
( $false
| ~ spl5_3
| ~ spl5_4
| ~ spl5_8
| ~ spl5_11
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16
| spl5_25 ),
inference(subsumption_resolution,[],[f584,f223]) ).
fof(f584,plain,
( identity = sk_c10
| ~ spl5_3
| ~ spl5_4
| ~ spl5_8
| ~ spl5_11
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16 ),
inference(backward_demodulation,[],[f507,f581]) ).
fof(f581,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl5_3
| ~ spl5_4
| ~ spl5_8
| ~ spl5_11
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16 ),
inference(backward_demodulation,[],[f341,f580]) ).
fof(f580,plain,
( sk_c4 = sk_c3
| ~ spl5_3
| ~ spl5_4
| ~ spl5_8
| ~ spl5_11
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16 ),
inference(backward_demodulation,[],[f490,f579]) ).
fof(f579,plain,
( sk_c4 = multiply(inverse(sk_c10),identity)
| ~ spl5_3
| ~ spl5_4
| ~ spl5_8
| ~ spl5_11
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16 ),
inference(forward_demodulation,[],[f489,f530]) ).
fof(f510,plain,
( ~ spl5_8
| ~ spl5_15
| ~ spl5_16
| spl5_37 ),
inference(avatar_contradiction_clause,[],[f509]) ).
fof(f509,plain,
( $false
| ~ spl5_8
| ~ spl5_15
| ~ spl5_16
| spl5_37 ),
inference(subsumption_resolution,[],[f508,f379]) ).
fof(f379,plain,
( sk_c10 != sk_c9
| spl5_37 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f508,plain,
( sk_c10 = sk_c9
| ~ spl5_8
| ~ spl5_15
| ~ spl5_16 ),
inference(backward_demodulation,[],[f145,f507]) ).
fof(f444,plain,
( ~ spl5_1
| ~ spl5_6
| ~ spl5_10 ),
inference(avatar_contradiction_clause,[],[f443]) ).
fof(f443,plain,
( $false
| ~ spl5_1
| ~ spl5_6
| ~ spl5_10 ),
inference(subsumption_resolution,[],[f442,f108]) ).
fof(f108,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl5_10 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl5_10
<=> sk_c11 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).
fof(f442,plain,
( sk_c11 != inverse(sk_c1)
| ~ spl5_1
| ~ spl5_6 ),
inference(trivial_inequality_removal,[],[f441]) ).
fof(f441,plain,
( sk_c10 != sk_c10
| sk_c11 != inverse(sk_c1)
| ~ spl5_1
| ~ spl5_6 ),
inference(superposition,[],[f90,f69]) ).
fof(f69,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl5_1
<=> multiply(sk_c1,sk_c11) = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f90,plain,
( ! [X3] :
( sk_c10 != multiply(X3,sk_c11)
| sk_c11 != inverse(X3) )
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl5_6
<=> ! [X3] :
( sk_c10 != multiply(X3,sk_c11)
| sk_c11 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f433,plain,
( ~ spl5_8
| ~ spl5_15
| ~ spl5_16
| ~ spl5_23
| ~ spl5_37 ),
inference(avatar_contradiction_clause,[],[f432]) ).
fof(f432,plain,
( $false
| ~ spl5_8
| ~ spl5_15
| ~ spl5_16
| ~ spl5_23
| ~ spl5_37 ),
inference(subsumption_resolution,[],[f431,f398]) ).
fof(f398,plain,
( sk_c10 = multiply(sk_c10,sk_c4)
| ~ spl5_16
| ~ spl5_37 ),
inference(backward_demodulation,[],[f145,f378]) ).
fof(f431,plain,
( sk_c10 != multiply(sk_c10,sk_c4)
| ~ spl5_8
| ~ spl5_15
| ~ spl5_23
| ~ spl5_37 ),
inference(forward_demodulation,[],[f423,f99]) ).
fof(f423,plain,
( sk_c10 != multiply(sk_c10,multiply(sk_c3,sk_c10))
| ~ spl5_15
| ~ spl5_23
| ~ spl5_37 ),
inference(trivial_inequality_removal,[],[f422]) ).
fof(f422,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c10,multiply(sk_c3,sk_c10))
| ~ spl5_15
| ~ spl5_23
| ~ spl5_37 ),
inference(superposition,[],[f409,f137]) ).
fof(f409,plain,
( ! [X10] :
( sk_c10 != inverse(X10)
| sk_c10 != multiply(sk_c10,multiply(X10,sk_c10)) )
| ~ spl5_23
| ~ spl5_37 ),
inference(forward_demodulation,[],[f399,f378]) ).
fof(f399,plain,
( ! [X10] :
( sk_c10 != inverse(X10)
| sk_c10 != multiply(sk_c9,multiply(X10,sk_c9)) )
| ~ spl5_23
| ~ spl5_37 ),
inference(backward_demodulation,[],[f194,f378]) ).
fof(f194,plain,
( ! [X10] :
( sk_c9 != inverse(X10)
| sk_c10 != multiply(sk_c9,multiply(X10,sk_c9)) )
| ~ spl5_23 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f193,plain,
( spl5_23
<=> ! [X10] :
( sk_c10 != multiply(sk_c9,multiply(X10,sk_c9))
| sk_c9 != inverse(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_23])]) ).
fof(f430,plain,
( ~ spl5_3
| ~ spl5_23
| ~ spl5_37 ),
inference(avatar_contradiction_clause,[],[f429]) ).
fof(f429,plain,
( $false
| ~ spl5_3
| ~ spl5_23
| ~ spl5_37 ),
inference(subsumption_resolution,[],[f425,f405]) ).
fof(f405,plain,
( ! [X13] : multiply(sk_c10,multiply(sk_c7,X13)) = X13
| ~ spl5_3
| ~ spl5_37 ),
inference(backward_demodulation,[],[f267,f378]) ).
fof(f425,plain,
( sk_c10 != multiply(sk_c10,multiply(sk_c7,sk_c10))
| ~ spl5_3
| ~ spl5_23
| ~ spl5_37 ),
inference(trivial_inequality_removal,[],[f420]) ).
fof(f420,plain,
( sk_c10 != multiply(sk_c10,multiply(sk_c7,sk_c10))
| sk_c10 != sk_c10
| ~ spl5_3
| ~ spl5_23
| ~ spl5_37 ),
inference(superposition,[],[f409,f393]) ).
fof(f393,plain,
( sk_c10 = inverse(sk_c7)
| ~ spl5_3
| ~ spl5_37 ),
inference(backward_demodulation,[],[f78,f378]) ).
fof(f391,plain,
( spl5_37
| ~ spl5_3
| ~ spl5_7
| ~ spl5_11 ),
inference(avatar_split_clause,[],[f390,f112,f93,f76,f377]) ).
fof(f390,plain,
( sk_c10 = sk_c9
| ~ spl5_3
| ~ spl5_7
| ~ spl5_11 ),
inference(backward_demodulation,[],[f272,f95]) ).
fof(f95,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f366,plain,
( ~ spl5_4
| ~ spl5_12
| ~ spl5_21 ),
inference(avatar_contradiction_clause,[],[f365]) ).
fof(f365,plain,
( $false
| ~ spl5_4
| ~ spl5_12
| ~ spl5_21 ),
inference(subsumption_resolution,[],[f363,f120]) ).
fof(f363,plain,
( sk_c10 != multiply(sk_c2,sk_c9)
| ~ spl5_4
| ~ spl5_21 ),
inference(trivial_inequality_removal,[],[f360]) ).
fof(f360,plain,
( sk_c10 != multiply(sk_c2,sk_c9)
| sk_c9 != sk_c9
| ~ spl5_4
| ~ spl5_21 ),
inference(superposition,[],[f167,f82]) ).
fof(f167,plain,
( ! [X4] :
( sk_c9 != inverse(X4)
| sk_c10 != multiply(X4,sk_c9) )
| ~ spl5_21 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f166,plain,
( spl5_21
<=> ! [X4] :
( sk_c10 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_21])]) ).
fof(f347,plain,
( ~ spl5_3
| ~ spl5_4
| ~ spl5_7
| ~ spl5_11
| ~ spl5_12
| ~ spl5_21 ),
inference(avatar_contradiction_clause,[],[f346]) ).
fof(f346,plain,
( $false
| ~ spl5_3
| ~ spl5_4
| ~ spl5_7
| ~ spl5_11
| ~ spl5_12
| ~ spl5_21 ),
inference(subsumption_resolution,[],[f345,f330]) ).
fof(f330,plain,
( sk_c10 = multiply(sk_c2,sk_c10)
| ~ spl5_3
| ~ spl5_7
| ~ spl5_11
| ~ spl5_12 ),
inference(forward_demodulation,[],[f120,f275]) ).
fof(f275,plain,
( sk_c10 = sk_c9
| ~ spl5_3
| ~ spl5_7
| ~ spl5_11 ),
inference(forward_demodulation,[],[f272,f95]) ).
fof(f345,plain,
( sk_c10 != multiply(sk_c2,sk_c10)
| ~ spl5_3
| ~ spl5_4
| ~ spl5_7
| ~ spl5_11
| ~ spl5_21 ),
inference(trivial_inequality_removal,[],[f343]) ).
fof(f343,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c2,sk_c10)
| ~ spl5_3
| ~ spl5_4
| ~ spl5_7
| ~ spl5_11
| ~ spl5_21 ),
inference(superposition,[],[f314,f329]) ).
fof(f329,plain,
( sk_c10 = inverse(sk_c2)
| ~ spl5_3
| ~ spl5_4
| ~ spl5_7
| ~ spl5_11 ),
inference(forward_demodulation,[],[f82,f275]) ).
fof(f314,plain,
( ! [X4] :
( sk_c10 != inverse(X4)
| sk_c10 != multiply(X4,sk_c10) )
| ~ spl5_3
| ~ spl5_7
| ~ spl5_11
| ~ spl5_21 ),
inference(forward_demodulation,[],[f313,f275]) ).
fof(f313,plain,
( ! [X4] :
( sk_c10 != multiply(X4,sk_c9)
| sk_c10 != inverse(X4) )
| ~ spl5_3
| ~ spl5_7
| ~ spl5_11
| ~ spl5_21 ),
inference(forward_demodulation,[],[f167,f275]) ).
fof(f323,plain,
( ~ spl5_2
| ~ spl5_3
| ~ spl5_7
| ~ spl5_9
| ~ spl5_11
| ~ spl5_21 ),
inference(avatar_contradiction_clause,[],[f322]) ).
fof(f322,plain,
( $false
| ~ spl5_2
| ~ spl5_3
| ~ spl5_7
| ~ spl5_9
| ~ spl5_11
| ~ spl5_21 ),
inference(subsumption_resolution,[],[f321,f279]) ).
fof(f279,plain,
( sk_c10 = multiply(sk_c6,sk_c10)
| ~ spl5_3
| ~ spl5_7
| ~ spl5_9
| ~ spl5_11 ),
inference(backward_demodulation,[],[f104,f275]) ).
fof(f104,plain,
( sk_c10 = multiply(sk_c6,sk_c9)
| ~ spl5_9 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl5_9
<=> sk_c10 = multiply(sk_c6,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).
fof(f321,plain,
( sk_c10 != multiply(sk_c6,sk_c10)
| ~ spl5_2
| ~ spl5_3
| ~ spl5_7
| ~ spl5_11
| ~ spl5_21 ),
inference(trivial_inequality_removal,[],[f318]) ).
fof(f318,plain,
( sk_c10 != multiply(sk_c6,sk_c10)
| sk_c10 != sk_c10
| ~ spl5_2
| ~ spl5_3
| ~ spl5_7
| ~ spl5_11
| ~ spl5_21 ),
inference(superposition,[],[f314,f276]) ).
fof(f276,plain,
( sk_c10 = inverse(sk_c6)
| ~ spl5_2
| ~ spl5_3
| ~ spl5_7
| ~ spl5_11 ),
inference(backward_demodulation,[],[f73,f275]) ).
fof(f73,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl5_2
<=> sk_c9 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f307,plain,
( ~ spl5_3
| ~ spl5_7
| ~ spl5_11
| ~ spl5_14 ),
inference(avatar_contradiction_clause,[],[f306]) ).
fof(f306,plain,
( $false
| ~ spl5_3
| ~ spl5_7
| ~ spl5_11
| ~ spl5_14 ),
inference(subsumption_resolution,[],[f302,f290]) ).
fof(f290,plain,
( ! [X13] : multiply(sk_c10,multiply(sk_c7,X13)) = X13
| ~ spl5_3
| ~ spl5_7
| ~ spl5_11 ),
inference(backward_demodulation,[],[f267,f275]) ).
fof(f302,plain,
( sk_c10 != multiply(sk_c10,multiply(sk_c7,sk_c10))
| ~ spl5_3
| ~ spl5_7
| ~ spl5_11
| ~ spl5_14 ),
inference(trivial_inequality_removal,[],[f301]) ).
fof(f301,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c10,multiply(sk_c7,sk_c10))
| ~ spl5_3
| ~ spl5_7
| ~ spl5_11
| ~ spl5_14 ),
inference(superposition,[],[f281,f277]) ).
fof(f277,plain,
( sk_c10 = inverse(sk_c7)
| ~ spl5_3
| ~ spl5_7
| ~ spl5_11 ),
inference(backward_demodulation,[],[f78,f275]) ).
fof(f281,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| sk_c10 != multiply(sk_c10,multiply(X6,sk_c10)) )
| ~ spl5_3
| ~ spl5_7
| ~ spl5_11
| ~ spl5_14 ),
inference(backward_demodulation,[],[f132,f275]) ).
fof(f132,plain,
( ! [X6] :
( sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c10 != inverse(X6) )
| ~ spl5_14 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f131,plain,
( spl5_14
<=> ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(sk_c10,multiply(X6,sk_c10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_14])]) ).
fof(f246,plain,
( ~ spl5_28
| ~ spl5_29
| ~ spl5_14 ),
inference(avatar_split_clause,[],[f236,f131,f243,f239]) ).
fof(f236,plain,
( sk_c10 != inverse(identity)
| sk_c9 != multiply(sk_c10,sk_c10)
| ~ spl5_14 ),
inference(superposition,[],[f132,f1]) ).
fof(f235,plain,
( ~ spl5_6
| ~ spl5_17
| ~ spl5_22 ),
inference(avatar_contradiction_clause,[],[f234]) ).
fof(f234,plain,
( $false
| ~ spl5_6
| ~ spl5_17
| ~ spl5_22 ),
inference(subsumption_resolution,[],[f215,f151]) ).
fof(f151,plain,
( sk_c11 = inverse(sk_c5)
| ~ spl5_17 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f149,plain,
( spl5_17
<=> sk_c11 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_17])]) ).
fof(f215,plain,
( sk_c11 != inverse(sk_c5)
| ~ spl5_6
| ~ spl5_22 ),
inference(trivial_inequality_removal,[],[f214]) ).
fof(f214,plain,
( sk_c11 != inverse(sk_c5)
| sk_c10 != sk_c10
| ~ spl5_6
| ~ spl5_22 ),
inference(superposition,[],[f90,f172]) ).
fof(f172,plain,
( sk_c10 = multiply(sk_c5,sk_c11)
| ~ spl5_22 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f170,plain,
( spl5_22
<=> sk_c10 = multiply(sk_c5,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_22])]) ).
fof(f206,plain,
( spl5_12
| spl5_7 ),
inference(avatar_split_clause,[],[f22,f93,f118]) ).
fof(f22,axiom,
( sk_c10 = multiply(sk_c9,sk_c8)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f202,plain,
( spl5_6
| spl5_19 ),
inference(avatar_split_clause,[],[f64,f158,f89]) ).
fof(f158,plain,
( spl5_19
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_19])]) ).
fof(f64,plain,
! [X7] :
( sP4
| sk_c11 != inverse(X7)
| sk_c10 != multiply(X7,sk_c11) ),
inference(cnf_transformation,[],[f64_D]) ).
fof(f64_D,plain,
( ! [X7] :
( sk_c11 != inverse(X7)
| sk_c10 != multiply(X7,sk_c11) )
<=> ~ sP4 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f201,plain,
( spl5_15
| spl5_3 ),
inference(avatar_split_clause,[],[f52,f76,f135]) ).
fof(f52,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f199,plain,
( spl5_10
| spl5_17 ),
inference(avatar_split_clause,[],[f12,f149,f106]) ).
fof(f12,axiom,
( sk_c11 = inverse(sk_c5)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f198,plain,
( spl5_7
| spl5_16 ),
inference(avatar_split_clause,[],[f36,f143,f93]) ).
fof(f36,axiom,
( sk_c9 = multiply(sk_c10,sk_c4)
| sk_c10 = multiply(sk_c9,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f195,plain,
( spl5_23
| spl5_20 ),
inference(avatar_split_clause,[],[f58,f162,f193]) ).
fof(f162,plain,
( spl5_20
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_20])]) ).
fof(f58,plain,
! [X10] :
( sP1
| sk_c10 != multiply(sk_c9,multiply(X10,sk_c9))
| sk_c9 != inverse(X10) ),
inference(cnf_transformation,[],[f58_D]) ).
fof(f58_D,plain,
( ! [X10] :
( sk_c10 != multiply(sk_c9,multiply(X10,sk_c9))
| sk_c9 != inverse(X10) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f188,plain,
( spl5_12
| spl5_11 ),
inference(avatar_split_clause,[],[f23,f112,f118]) ).
fof(f23,axiom,
( sk_c8 = multiply(sk_c7,sk_c9)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f186,plain,
( spl5_15
| spl5_11 ),
inference(avatar_split_clause,[],[f51,f112,f135]) ).
fof(f51,axiom,
( sk_c8 = multiply(sk_c7,sk_c9)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
fof(f185,plain,
( spl5_16
| spl5_3 ),
inference(avatar_split_clause,[],[f38,f76,f143]) ).
fof(f38,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c9 = multiply(sk_c10,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f183,plain,
( spl5_16
| spl5_11 ),
inference(avatar_split_clause,[],[f37,f112,f143]) ).
fof(f37,axiom,
( sk_c8 = multiply(sk_c7,sk_c9)
| sk_c9 = multiply(sk_c10,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f182,plain,
( spl5_17
| spl5_1 ),
inference(avatar_split_clause,[],[f5,f67,f149]) ).
fof(f5,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c11 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f179,plain,
( spl5_7
| spl5_4 ),
inference(avatar_split_clause,[],[f29,f80,f93]) ).
fof(f29,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c10 = multiply(sk_c9,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f177,plain,
( spl5_18
| spl5_21 ),
inference(avatar_split_clause,[],[f60,f166,f154]) ).
fof(f154,plain,
( spl5_18
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_18])]) ).
fof(f60,plain,
! [X8] :
( sk_c9 != inverse(X8)
| sk_c10 != multiply(X8,sk_c9)
| sP2 ),
inference(cnf_transformation,[],[f60_D]) ).
fof(f60_D,plain,
( ! [X8] :
( sk_c9 != inverse(X8)
| sk_c10 != multiply(X8,sk_c9) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f176,plain,
( spl5_22
| spl5_10 ),
inference(avatar_split_clause,[],[f11,f106,f170]) ).
fof(f11,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c10 = multiply(sk_c5,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f173,plain,
( spl5_22
| spl5_1 ),
inference(avatar_split_clause,[],[f4,f67,f170]) ).
fof(f4,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c10 = multiply(sk_c5,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f168,plain,
( ~ spl5_18
| ~ spl5_19
| ~ spl5_5
| ~ spl5_20
| ~ spl5_13
| spl5_21 ),
inference(avatar_split_clause,[],[f65,f166,f127,f162,f85,f158,f154]) ).
fof(f85,plain,
( spl5_5
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f127,plain,
( spl5_13
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_13])]) ).
fof(f65,plain,
! [X4] :
( sk_c10 != multiply(X4,sk_c9)
| ~ sP3
| ~ sP1
| ~ sP0
| sk_c9 != inverse(X4)
| ~ sP4
| ~ sP2 ),
inference(general_splitting,[],[f63,f64_D]) ).
fof(f63,plain,
! [X7,X4] :
( sk_c10 != multiply(X4,sk_c9)
| sk_c11 != inverse(X7)
| sk_c10 != multiply(X7,sk_c11)
| sk_c9 != inverse(X4)
| ~ sP0
| ~ sP1
| ~ sP2
| ~ sP3 ),
inference(general_splitting,[],[f61,f62_D]) ).
fof(f62,plain,
! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sP3 ),
inference(cnf_transformation,[],[f62_D]) ).
fof(f62_D,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(sk_c10,multiply(X6,sk_c10)) )
<=> ~ sP3 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f61,plain,
! [X6,X7,X4] :
( sk_c10 != multiply(X4,sk_c9)
| sk_c11 != inverse(X7)
| sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c10 != multiply(X7,sk_c11)
| sk_c10 != inverse(X6)
| sk_c9 != inverse(X4)
| ~ sP0
| ~ sP1
| ~ sP2 ),
inference(general_splitting,[],[f59,f60_D]) ).
fof(f59,plain,
! [X8,X6,X7,X4] :
( sk_c10 != multiply(X4,sk_c9)
| sk_c11 != inverse(X7)
| sk_c10 != multiply(X8,sk_c9)
| sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c10 != multiply(X7,sk_c11)
| sk_c10 != inverse(X6)
| sk_c9 != inverse(X4)
| sk_c9 != inverse(X8)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f57,f58_D]) ).
fof(f57,plain,
! [X10,X8,X6,X7,X4] :
( sk_c10 != multiply(X4,sk_c9)
| sk_c11 != inverse(X7)
| sk_c9 != inverse(X10)
| sk_c10 != multiply(X8,sk_c9)
| sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c10 != multiply(X7,sk_c11)
| sk_c10 != inverse(X6)
| sk_c9 != inverse(X4)
| sk_c10 != multiply(sk_c9,multiply(X10,sk_c9))
| sk_c9 != inverse(X8)
| ~ sP0 ),
inference(general_splitting,[],[f55,f56_D]) ).
fof(f56,plain,
! [X3] :
( sk_c10 != multiply(X3,sk_c11)
| sP0
| sk_c11 != inverse(X3) ),
inference(cnf_transformation,[],[f56_D]) ).
fof(f56_D,plain,
( ! [X3] :
( sk_c10 != multiply(X3,sk_c11)
| sk_c11 != inverse(X3) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f55,plain,
! [X3,X10,X8,X6,X7,X4] :
( sk_c10 != multiply(X4,sk_c9)
| sk_c11 != inverse(X3)
| sk_c11 != inverse(X7)
| sk_c9 != inverse(X10)
| sk_c10 != multiply(X8,sk_c9)
| sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c10 != multiply(X7,sk_c11)
| sk_c10 != inverse(X6)
| sk_c9 != inverse(X4)
| sk_c10 != multiply(X3,sk_c11)
| sk_c10 != multiply(sk_c9,multiply(X10,sk_c9))
| sk_c9 != inverse(X8) ),
inference(equality_resolution,[],[f54]) ).
fof(f54,plain,
! [X3,X10,X8,X6,X9,X7,X4] :
( sk_c10 != multiply(X4,sk_c9)
| sk_c11 != inverse(X3)
| sk_c11 != inverse(X7)
| sk_c9 != inverse(X10)
| sk_c10 != multiply(X8,sk_c9)
| sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c10 != multiply(X7,sk_c11)
| sk_c10 != inverse(X6)
| sk_c9 != inverse(X4)
| sk_c10 != multiply(X3,sk_c11)
| multiply(X10,sk_c9) != X9
| sk_c10 != multiply(sk_c9,X9)
| sk_c9 != inverse(X8) ),
inference(equality_resolution,[],[f53]) ).
fof(f53,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( multiply(X6,sk_c10) != X5
| sk_c10 != multiply(X4,sk_c9)
| sk_c11 != inverse(X3)
| sk_c11 != inverse(X7)
| sk_c9 != inverse(X10)
| sk_c10 != multiply(X8,sk_c9)
| sk_c9 != multiply(sk_c10,X5)
| sk_c10 != multiply(X7,sk_c11)
| sk_c10 != inverse(X6)
| sk_c9 != inverse(X4)
| sk_c10 != multiply(X3,sk_c11)
| multiply(X10,sk_c9) != X9
| sk_c10 != multiply(sk_c9,X9)
| sk_c9 != inverse(X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).
fof(f139,plain,
( spl5_4
| spl5_9 ),
inference(avatar_split_clause,[],[f27,f102,f80]) ).
fof(f27,axiom,
( sk_c10 = multiply(sk_c6,sk_c9)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f138,plain,
( spl5_15
| spl5_7 ),
inference(avatar_split_clause,[],[f50,f93,f135]) ).
fof(f50,axiom,
( sk_c10 = multiply(sk_c9,sk_c8)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
fof(f133,plain,
( spl5_13
| spl5_14 ),
inference(avatar_split_clause,[],[f62,f131,f127]) ).
fof(f125,plain,
( spl5_12
| spl5_2 ),
inference(avatar_split_clause,[],[f21,f71,f118]) ).
fof(f21,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f123,plain,
( spl5_4
| spl5_11 ),
inference(avatar_split_clause,[],[f30,f112,f80]) ).
fof(f30,axiom,
( sk_c8 = multiply(sk_c7,sk_c9)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f122,plain,
( spl5_12
| spl5_9 ),
inference(avatar_split_clause,[],[f20,f102,f118]) ).
fof(f20,axiom,
( sk_c10 = multiply(sk_c6,sk_c9)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f121,plain,
( spl5_12
| spl5_3 ),
inference(avatar_split_clause,[],[f24,f76,f118]) ).
fof(f24,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f116,plain,
( spl5_4
| spl5_2 ),
inference(avatar_split_clause,[],[f28,f71,f80]) ).
fof(f28,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f115,plain,
( spl5_8
| spl5_11 ),
inference(avatar_split_clause,[],[f44,f112,f97]) ).
fof(f44,axiom,
( sk_c8 = multiply(sk_c7,sk_c9)
| sk_c4 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f110,plain,
( spl5_3
| spl5_8 ),
inference(avatar_split_clause,[],[f45,f97,f76]) ).
fof(f45,axiom,
( sk_c4 = multiply(sk_c3,sk_c10)
| sk_c9 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f100,plain,
( spl5_7
| spl5_8 ),
inference(avatar_split_clause,[],[f43,f97,f93]) ).
fof(f43,axiom,
( sk_c4 = multiply(sk_c3,sk_c10)
| sk_c10 = multiply(sk_c9,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f91,plain,
( spl5_5
| spl5_6 ),
inference(avatar_split_clause,[],[f56,f89,f85]) ).
fof(f83,plain,
( spl5_3
| spl5_4 ),
inference(avatar_split_clause,[],[f31,f80,f76]) ).
fof(f31,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c9 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP266-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 22:46:00 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.47 % (24678)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)
% 0.19/0.47 % (24680)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)
% 0.19/0.49 % (24703)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)
% 0.19/0.49 % (24694)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.49 % (24699)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)
% 0.19/0.49 % (24702)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)
% 0.19/0.50 % (24681)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)
% 0.19/0.50 % (24689)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (24697)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.50 % (24687)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)
% 0.19/0.50 % (24682)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (24679)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 % (24682)Instruction limit reached!
% 0.19/0.51 % (24682)------------------------------
% 0.19/0.51 % (24682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (24682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (24682)Termination reason: Unknown
% 0.19/0.51 % (24682)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (24682)Memory used [KB]: 5500
% 0.19/0.51 % (24682)Time elapsed: 0.081 s
% 0.19/0.51 % (24682)Instructions burned: 7 (million)
% 0.19/0.51 % (24682)------------------------------
% 0.19/0.51 % (24682)------------------------------
% 0.19/0.51 % (24675)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)
% 0.19/0.51 % (24676)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (24688)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 % (24685)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)
% 0.19/0.52 % (24695)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)
% 0.19/0.52 % (24677)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 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 % (24705)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)
% 0.19/0.52 % (24686)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 TRYING [3]
% 0.19/0.52 % (24683)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (24683)Instruction limit reached!
% 0.19/0.52 % (24683)------------------------------
% 0.19/0.52 % (24683)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (24683)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (24683)Termination reason: Unknown
% 0.19/0.52 % (24683)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (24683)Memory used [KB]: 5373
% 0.19/0.52 % (24683)Time elapsed: 0.003 s
% 0.19/0.52 % (24683)Instructions burned: 3 (million)
% 0.19/0.52 % (24683)------------------------------
% 0.19/0.52 % (24683)------------------------------
% 0.19/0.53 % (24691)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)
% 0.19/0.53 % (24692)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)
% 0.19/0.53 % (24698)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 % (24701)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 % (24700)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53 % (24690)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 % (24693)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [2]
% 0.19/0.54 % (24697)First to succeed.
% 0.19/0.54 % (24696)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)
% 0.19/0.54 TRYING [3]
% 0.19/0.54 % (24704)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.54 % (24680)Instruction limit reached!
% 0.19/0.54 % (24680)------------------------------
% 0.19/0.54 % (24680)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (24680)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (24680)Termination reason: Unknown
% 0.19/0.54 % (24680)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (24680)Memory used [KB]: 6396
% 0.19/0.54 % (24680)Time elapsed: 0.132 s
% 0.19/0.54 % (24680)Instructions burned: 48 (million)
% 0.19/0.54 % (24680)------------------------------
% 0.19/0.54 % (24680)------------------------------
% 0.19/0.54 % (24697)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55 % (24697)------------------------------
% 0.19/0.55 % (24697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (24697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (24697)Termination reason: Refutation
% 0.19/0.55
% 0.19/0.55 % (24697)Memory used [KB]: 5884
% 0.19/0.55 % (24697)Time elapsed: 0.106 s
% 0.19/0.55 % (24697)Instructions burned: 27 (million)
% 0.19/0.55 % (24697)------------------------------
% 0.19/0.55 % (24697)------------------------------
% 0.19/0.55 % (24672)Success in time 0.202 s
%------------------------------------------------------------------------------