TSTP Solution File: GRP225-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP225-1 : 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 : n023.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 16:20:57 EDT 2022
% Result : Unsatisfiable 0.19s 0.58s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 68
% Syntax : Number of formulae : 282 ( 24 unt; 0 def)
% Number of atoms : 761 ( 332 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 900 ( 421 ~; 455 |; 0 &)
% ( 24 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 25 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 22 con; 0-2 aty)
% Number of variables : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f782,plain,
$false,
inference(avatar_sat_refutation,[],[f97,f106,f119,f147,f152,f153,f154,f155,f161,f162,f163,f164,f165,f166,f167,f168,f171,f172,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f184,f202,f225,f229,f262,f271,f279,f328,f366,f411,f442,f454,f513,f529,f538,f596,f630,f693,f701,f739,f774]) ).
fof(f774,plain,
( ~ spl12_19
| spl12_20
| ~ spl12_36 ),
inference(avatar_contradiction_clause,[],[f773]) ).
fof(f773,plain,
( $false
| ~ spl12_19
| spl12_20
| ~ spl12_36 ),
inference(subsumption_resolution,[],[f763,f210]) ).
fof(f210,plain,
( identity = sk_c9
| ~ spl12_19 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f209,plain,
( spl12_19
<=> identity = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_19])]) ).
fof(f763,plain,
( identity != sk_c9
| spl12_20
| ~ spl12_36 ),
inference(superposition,[],[f216,f488]) ).
fof(f488,plain,
( identity = sk_c8
| ~ spl12_36 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f487,plain,
( spl12_36
<=> identity = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_36])]) ).
fof(f216,plain,
( sk_c9 != sk_c8
| spl12_20 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f214,plain,
( spl12_20
<=> sk_c9 = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_20])]) ).
fof(f739,plain,
( ~ spl12_19
| spl12_28 ),
inference(avatar_contradiction_clause,[],[f738]) ).
fof(f738,plain,
( $false
| ~ spl12_19
| spl12_28 ),
inference(subsumption_resolution,[],[f722,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f722,plain,
( identity != multiply(identity,identity)
| ~ spl12_19
| spl12_28 ),
inference(superposition,[],[f429,f210]) ).
fof(f429,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| spl12_28 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f427,plain,
( spl12_28
<=> sk_c9 = multiply(sk_c9,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_28])]) ).
fof(f701,plain,
( spl12_36
| ~ spl12_3
| ~ spl12_15 ),
inference(avatar_split_clause,[],[f700,f149,f99,f487]) ).
fof(f99,plain,
( spl12_3
<=> sk_c8 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f149,plain,
( spl12_15
<=> sk_c7 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).
fof(f700,plain,
( identity = sk_c8
| ~ spl12_3
| ~ spl12_15 ),
inference(forward_demodulation,[],[f678,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f678,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| ~ spl12_3
| ~ spl12_15 ),
inference(superposition,[],[f312,f345]) ).
fof(f345,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl12_3
| ~ spl12_15 ),
inference(forward_demodulation,[],[f342,f101]) ).
fof(f101,plain,
( sk_c8 = sF4
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f342,plain,
( sk_c7 = multiply(sk_c7,sF4)
| ~ spl12_15 ),
inference(superposition,[],[f303,f48]) ).
fof(f48,plain,
multiply(sk_c6,sk_c7) = sF4,
introduced(function_definition,[]) ).
fof(f303,plain,
( ! [X18] : multiply(sk_c7,multiply(sk_c6,X18)) = X18
| ~ spl12_15 ),
inference(forward_demodulation,[],[f293,f1]) ).
fof(f293,plain,
( ! [X18] : multiply(identity,X18) = multiply(sk_c7,multiply(sk_c6,X18))
| ~ spl12_15 ),
inference(superposition,[],[f3,f191]) ).
fof(f191,plain,
( identity = multiply(sk_c7,sk_c6)
| ~ spl12_15 ),
inference(forward_demodulation,[],[f188,f151]) ).
fof(f151,plain,
( sk_c7 = sF5
| ~ spl12_15 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f188,plain,
identity = multiply(sF5,sk_c6),
inference(superposition,[],[f2,f50]) ).
fof(f50,plain,
inverse(sk_c6) = sF5,
introduced(function_definition,[]) ).
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(f312,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f282,f1]) ).
fof(f282,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f693,plain,
( ~ spl12_2
| ~ spl12_14
| spl12_19 ),
inference(avatar_contradiction_clause,[],[f692]) ).
fof(f692,plain,
( $false
| ~ spl12_2
| ~ spl12_14
| spl12_19 ),
inference(subsumption_resolution,[],[f691,f211]) ).
fof(f211,plain,
( identity != sk_c9
| spl12_19 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f691,plain,
( identity = sk_c9
| ~ spl12_2
| ~ spl12_14 ),
inference(forward_demodulation,[],[f673,f2]) ).
fof(f673,plain,
( sk_c9 = multiply(inverse(sk_c8),sk_c8)
| ~ spl12_2
| ~ spl12_14 ),
inference(superposition,[],[f312,f456]) ).
fof(f456,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl12_2
| ~ spl12_14 ),
inference(forward_demodulation,[],[f385,f146]) ).
fof(f146,plain,
( sk_c9 = sF10
| ~ spl12_14 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f144,plain,
( spl12_14
<=> sk_c9 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).
fof(f385,plain,
( sk_c8 = multiply(sk_c8,sF10)
| ~ spl12_2 ),
inference(superposition,[],[f309,f64]) ).
fof(f64,plain,
multiply(sk_c5,sk_c8) = sF10,
introduced(function_definition,[]) ).
fof(f309,plain,
( ! [X14] : multiply(sk_c8,multiply(sk_c5,X14)) = X14
| ~ spl12_2 ),
inference(forward_demodulation,[],[f289,f1]) ).
fof(f289,plain,
( ! [X14] : multiply(identity,X14) = multiply(sk_c8,multiply(sk_c5,X14))
| ~ spl12_2 ),
inference(superposition,[],[f3,f190]) ).
fof(f190,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl12_2 ),
inference(forward_demodulation,[],[f187,f96]) ).
fof(f96,plain,
( sk_c8 = sF11
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl12_2
<=> sk_c8 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f187,plain,
identity = multiply(sF11,sk_c5),
inference(superposition,[],[f2,f66]) ).
fof(f66,plain,
inverse(sk_c5) = sF11,
introduced(function_definition,[]) ).
fof(f630,plain,
( ~ spl12_6
| ~ spl12_11
| ~ spl12_22
| ~ spl12_39 ),
inference(avatar_contradiction_clause,[],[f629]) ).
fof(f629,plain,
( $false
| ~ spl12_6
| ~ spl12_11
| ~ spl12_22
| ~ spl12_39 ),
inference(subsumption_resolution,[],[f628,f132]) ).
fof(f132,plain,
( sk_c9 = sF3
| ~ spl12_11 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f130,plain,
( spl12_11
<=> sk_c9 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f628,plain,
( sk_c9 != sF3
| ~ spl12_6
| ~ spl12_22
| ~ spl12_39 ),
inference(superposition,[],[f627,f46]) ).
fof(f46,plain,
inverse(sk_c4) = sF3,
introduced(function_definition,[]) ).
fof(f627,plain,
( sk_c9 != inverse(sk_c4)
| ~ spl12_6
| ~ spl12_22
| ~ spl12_39 ),
inference(subsumption_resolution,[],[f625,f244]) ).
fof(f244,plain,
( sk_c8 = multiply(sk_c9,sk_c8)
| ~ spl12_22 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f243,plain,
( spl12_22
<=> sk_c8 = multiply(sk_c9,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_22])]) ).
fof(f625,plain,
( sk_c9 != inverse(sk_c4)
| sk_c8 != multiply(sk_c9,sk_c8)
| ~ spl12_6
| ~ spl12_39 ),
inference(superposition,[],[f112,f503]) ).
fof(f503,plain,
( sk_c8 = multiply(sk_c4,sk_c9)
| ~ spl12_39 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f502,plain,
( spl12_39
<=> sk_c8 = multiply(sk_c4,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_39])]) ).
fof(f112,plain,
( ! [X5] :
( sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| sk_c9 != inverse(X5) )
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl12_6
<=> ! [X5] :
( sk_c9 != inverse(X5)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f596,plain,
( ~ spl12_2
| ~ spl12_6
| ~ spl12_14
| ~ spl12_20
| ~ spl12_28 ),
inference(avatar_contradiction_clause,[],[f595]) ).
fof(f595,plain,
( $false
| ~ spl12_2
| ~ spl12_6
| ~ spl12_14
| ~ spl12_20
| ~ spl12_28 ),
inference(subsumption_resolution,[],[f594,f215]) ).
fof(f215,plain,
( sk_c9 = sk_c8
| ~ spl12_20 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f594,plain,
( sk_c9 != sk_c8
| ~ spl12_2
| ~ spl12_6
| ~ spl12_14
| ~ spl12_20
| ~ spl12_28 ),
inference(forward_demodulation,[],[f593,f428]) ).
fof(f428,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl12_28 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f593,plain,
( sk_c8 != multiply(sk_c9,sk_c9)
| ~ spl12_2
| ~ spl12_6
| ~ spl12_14
| ~ spl12_20 ),
inference(subsumption_resolution,[],[f592,f215]) ).
fof(f592,plain,
( sk_c9 != sk_c8
| sk_c8 != multiply(sk_c9,sk_c9)
| ~ spl12_2
| ~ spl12_6
| ~ spl12_14
| ~ spl12_20 ),
inference(forward_demodulation,[],[f591,f96]) ).
fof(f591,plain,
( sk_c9 != sF11
| sk_c8 != multiply(sk_c9,sk_c9)
| ~ spl12_6
| ~ spl12_14
| ~ spl12_20 ),
inference(forward_demodulation,[],[f587,f66]) ).
fof(f587,plain,
( sk_c9 != inverse(sk_c5)
| sk_c8 != multiply(sk_c9,sk_c9)
| ~ spl12_6
| ~ spl12_14
| ~ spl12_20 ),
inference(superposition,[],[f112,f530]) ).
fof(f530,plain,
( sk_c9 = multiply(sk_c5,sk_c9)
| ~ spl12_14
| ~ spl12_20 ),
inference(forward_demodulation,[],[f523,f146]) ).
fof(f523,plain,
( sF10 = multiply(sk_c5,sk_c9)
| ~ spl12_20 ),
inference(superposition,[],[f64,f215]) ).
fof(f538,plain,
( ~ spl12_20
| ~ spl12_27
| spl12_39 ),
inference(avatar_contradiction_clause,[],[f537]) ).
fof(f537,plain,
( $false
| ~ spl12_20
| ~ spl12_27
| spl12_39 ),
inference(subsumption_resolution,[],[f536,f215]) ).
fof(f536,plain,
( sk_c9 != sk_c8
| ~ spl12_27
| spl12_39 ),
inference(superposition,[],[f504,f424]) ).
fof(f424,plain,
( sk_c9 = multiply(sk_c4,sk_c9)
| ~ spl12_27 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f423,plain,
( spl12_27
<=> sk_c9 = multiply(sk_c4,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_27])]) ).
fof(f504,plain,
( sk_c8 != multiply(sk_c4,sk_c9)
| spl12_39 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f529,plain,
( spl12_27
| ~ spl12_13
| ~ spl12_20 ),
inference(avatar_split_clause,[],[f528,f214,f139,f423]) ).
fof(f139,plain,
( spl12_13
<=> sk_c9 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).
fof(f528,plain,
( sk_c9 = multiply(sk_c4,sk_c9)
| ~ spl12_13
| ~ spl12_20 ),
inference(forward_demodulation,[],[f521,f141]) ).
fof(f141,plain,
( sk_c9 = sF1
| ~ spl12_13 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f521,plain,
( sF1 = multiply(sk_c4,sk_c9)
| ~ spl12_20 ),
inference(superposition,[],[f43,f215]) ).
fof(f43,plain,
multiply(sk_c4,sk_c8) = sF1,
introduced(function_definition,[]) ).
fof(f513,plain,
( ~ spl12_3
| ~ spl12_7
| ~ spl12_10
| ~ spl12_15 ),
inference(avatar_contradiction_clause,[],[f512]) ).
fof(f512,plain,
( $false
| ~ spl12_3
| ~ spl12_7
| ~ spl12_10
| ~ spl12_15 ),
inference(subsumption_resolution,[],[f511,f127]) ).
fof(f127,plain,
( sk_c8 = sF9
| ~ spl12_10 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl12_10
<=> sk_c8 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
fof(f511,plain,
( sk_c8 != sF9
| ~ spl12_3
| ~ spl12_7
| ~ spl12_15 ),
inference(superposition,[],[f485,f56]) ).
fof(f56,plain,
multiply(sk_c7,sk_c9) = sF9,
introduced(function_definition,[]) ).
fof(f485,plain,
( sk_c8 != multiply(sk_c7,sk_c9)
| ~ spl12_3
| ~ spl12_7
| ~ spl12_15 ),
inference(forward_demodulation,[],[f484,f151]) ).
fof(f484,plain,
( sk_c8 != multiply(sF5,sk_c9)
| ~ spl12_3
| ~ spl12_7
| ~ spl12_15 ),
inference(subsumption_resolution,[],[f483,f101]) ).
fof(f483,plain,
( sk_c8 != multiply(sF5,sk_c9)
| sk_c8 != sF4
| ~ spl12_7
| ~ spl12_15 ),
inference(forward_demodulation,[],[f482,f48]) ).
fof(f482,plain,
( sk_c8 != multiply(sk_c6,sk_c7)
| sk_c8 != multiply(sF5,sk_c9)
| ~ spl12_7
| ~ spl12_15 ),
inference(forward_demodulation,[],[f461,f151]) ).
fof(f461,plain,
( sk_c8 != multiply(sk_c6,sF5)
| sk_c8 != multiply(sF5,sk_c9)
| ~ spl12_7 ),
inference(superposition,[],[f115,f50]) ).
fof(f115,plain,
( ! [X8] :
( sk_c8 != multiply(inverse(X8),sk_c9)
| sk_c8 != multiply(X8,inverse(X8)) )
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl12_7
<=> ! [X8] :
( sk_c8 != multiply(inverse(X8),sk_c9)
| sk_c8 != multiply(X8,inverse(X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f454,plain,
( ~ spl12_28
| ~ spl12_2
| ~ spl12_7
| ~ spl12_14
| ~ spl12_20 ),
inference(avatar_split_clause,[],[f453,f214,f144,f114,f94,f427]) ).
fof(f453,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl12_2
| ~ spl12_7
| ~ spl12_14
| ~ spl12_20 ),
inference(forward_demodulation,[],[f452,f215]) ).
fof(f452,plain,
( sk_c9 != multiply(sk_c8,sk_c9)
| ~ spl12_2
| ~ spl12_7
| ~ spl12_14
| ~ spl12_20 ),
inference(forward_demodulation,[],[f451,f96]) ).
fof(f451,plain,
( sk_c9 != multiply(sF11,sk_c9)
| ~ spl12_2
| ~ spl12_7
| ~ spl12_14
| ~ spl12_20 ),
inference(subsumption_resolution,[],[f400,f146]) ).
fof(f400,plain,
( sk_c9 != sF10
| sk_c9 != multiply(sF11,sk_c9)
| ~ spl12_2
| ~ spl12_7
| ~ spl12_20 ),
inference(forward_demodulation,[],[f399,f64]) ).
fof(f399,plain,
( sk_c9 != multiply(sk_c5,sk_c8)
| sk_c9 != multiply(sF11,sk_c9)
| ~ spl12_2
| ~ spl12_7
| ~ spl12_20 ),
inference(forward_demodulation,[],[f395,f96]) ).
fof(f395,plain,
( sk_c9 != multiply(sk_c5,sF11)
| sk_c9 != multiply(sF11,sk_c9)
| ~ spl12_7
| ~ spl12_20 ),
inference(superposition,[],[f330,f66]) ).
fof(f330,plain,
( ! [X8] :
( sk_c9 != multiply(inverse(X8),sk_c9)
| sk_c9 != multiply(X8,inverse(X8)) )
| ~ spl12_7
| ~ spl12_20 ),
inference(forward_demodulation,[],[f329,f215]) ).
fof(f329,plain,
( ! [X8] :
( sk_c8 != multiply(X8,inverse(X8))
| sk_c9 != multiply(inverse(X8),sk_c9) )
| ~ spl12_7
| ~ spl12_20 ),
inference(forward_demodulation,[],[f115,f215]) ).
fof(f442,plain,
( spl12_28
| ~ spl12_20
| ~ spl12_22 ),
inference(avatar_split_clause,[],[f382,f243,f214,f427]) ).
fof(f382,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl12_20
| ~ spl12_22 ),
inference(forward_demodulation,[],[f244,f215]) ).
fof(f411,plain,
( ~ spl12_1
| ~ spl12_7
| ~ spl12_16
| ~ spl12_17
| ~ spl12_20 ),
inference(avatar_contradiction_clause,[],[f410]) ).
fof(f410,plain,
( $false
| ~ spl12_1
| ~ spl12_7
| ~ spl12_16
| ~ spl12_17
| ~ spl12_20 ),
inference(subsumption_resolution,[],[f409,f376]) ).
fof(f376,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl12_1
| ~ spl12_16
| ~ spl12_20 ),
inference(forward_demodulation,[],[f375,f215]) ).
fof(f375,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl12_1
| ~ spl12_16 ),
inference(forward_demodulation,[],[f372,f92]) ).
fof(f92,plain,
( sk_c9 = sF2
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f90,plain,
( spl12_1
<=> sk_c9 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f372,plain,
( sk_c8 = multiply(sk_c9,sF2)
| ~ spl12_16 ),
inference(superposition,[],[f306,f45]) ).
fof(f45,plain,
multiply(sk_c1,sk_c8) = sF2,
introduced(function_definition,[]) ).
fof(f306,plain,
( ! [X20] : multiply(sk_c9,multiply(sk_c1,X20)) = X20
| ~ spl12_16 ),
inference(forward_demodulation,[],[f305,f1]) ).
fof(f305,plain,
( ! [X20] : multiply(sk_c9,multiply(sk_c1,X20)) = multiply(identity,X20)
| ~ spl12_16 ),
inference(forward_demodulation,[],[f295,f160]) ).
fof(f160,plain,
( sk_c9 = sF7
| ~ spl12_16 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f158,plain,
( spl12_16
<=> sk_c9 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_16])]) ).
fof(f295,plain,
! [X20] : multiply(identity,X20) = multiply(sF7,multiply(sk_c1,X20)),
inference(superposition,[],[f3,f185]) ).
fof(f185,plain,
identity = multiply(sF7,sk_c1),
inference(superposition,[],[f2,f53]) ).
fof(f53,plain,
inverse(sk_c1) = sF7,
introduced(function_definition,[]) ).
fof(f409,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl12_1
| ~ spl12_7
| ~ spl12_17
| ~ spl12_20 ),
inference(subsumption_resolution,[],[f392,f336]) ).
fof(f336,plain,
( sk_c9 = multiply(sk_c1,sk_c9)
| ~ spl12_1
| ~ spl12_20 ),
inference(forward_demodulation,[],[f332,f92]) ).
fof(f332,plain,
( sF2 = multiply(sk_c1,sk_c9)
| ~ spl12_20 ),
inference(superposition,[],[f45,f215]) ).
fof(f392,plain,
( sk_c9 != multiply(sk_c1,sk_c9)
| sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl12_7
| ~ spl12_17
| ~ spl12_20 ),
inference(superposition,[],[f330,f200]) ).
fof(f200,plain,
( inverse(sk_c1) = sk_c9
| ~ spl12_17 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f199,plain,
( spl12_17
<=> inverse(sk_c1) = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_17])]) ).
fof(f366,plain,
( ~ spl12_3
| ~ spl12_10
| ~ spl12_15
| ~ spl12_20
| spl12_22 ),
inference(avatar_contradiction_clause,[],[f365]) ).
fof(f365,plain,
( $false
| ~ spl12_3
| ~ spl12_10
| ~ spl12_15
| ~ spl12_20
| spl12_22 ),
inference(subsumption_resolution,[],[f364,f335]) ).
fof(f335,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl12_20
| spl12_22 ),
inference(superposition,[],[f245,f215]) ).
fof(f245,plain,
( sk_c8 != multiply(sk_c9,sk_c8)
| spl12_22 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f364,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl12_3
| ~ spl12_10
| ~ spl12_15
| ~ spl12_20 ),
inference(forward_demodulation,[],[f363,f215]) ).
fof(f363,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl12_3
| ~ spl12_10
| ~ spl12_15
| ~ spl12_20 ),
inference(forward_demodulation,[],[f359,f127]) ).
fof(f359,plain,
( sF9 = multiply(sk_c9,sk_c9)
| ~ spl12_3
| ~ spl12_10
| ~ spl12_15
| ~ spl12_20 ),
inference(superposition,[],[f56,f353]) ).
fof(f353,plain,
( sk_c9 = sk_c7
| ~ spl12_3
| ~ spl12_10
| ~ spl12_15
| ~ spl12_20 ),
inference(forward_demodulation,[],[f352,f215]) ).
fof(f352,plain,
( sk_c8 = sk_c7
| ~ spl12_3
| ~ spl12_10
| ~ spl12_15
| ~ spl12_20 ),
inference(forward_demodulation,[],[f348,f127]) ).
fof(f348,plain,
( sk_c7 = sF9
| ~ spl12_3
| ~ spl12_15
| ~ spl12_20 ),
inference(superposition,[],[f56,f346]) ).
fof(f346,plain,
( sk_c7 = multiply(sk_c7,sk_c9)
| ~ spl12_3
| ~ spl12_15
| ~ spl12_20 ),
inference(forward_demodulation,[],[f345,f215]) ).
fof(f328,plain,
( spl12_20
| ~ spl12_4
| ~ spl12_9
| ~ spl12_12 ),
inference(avatar_split_clause,[],[f321,f134,f121,f103,f214]) ).
fof(f103,plain,
( spl12_4
<=> sk_c3 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f121,plain,
( spl12_9
<=> sk_c8 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f134,plain,
( spl12_12
<=> sk_c9 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).
fof(f321,plain,
( sk_c9 = sk_c8
| ~ spl12_4
| ~ spl12_9
| ~ spl12_12 ),
inference(superposition,[],[f318,f123]) ).
fof(f123,plain,
( sk_c8 = sF0
| ~ spl12_9 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f318,plain,
( sk_c9 = sF0
| ~ spl12_4
| ~ spl12_12 ),
inference(superposition,[],[f316,f42]) ).
fof(f42,plain,
multiply(sk_c9,sk_c3) = sF0,
introduced(function_definition,[]) ).
fof(f316,plain,
( sk_c9 = multiply(sk_c9,sk_c3)
| ~ spl12_4
| ~ spl12_12 ),
inference(forward_demodulation,[],[f314,f105]) ).
fof(f105,plain,
( sk_c3 = sF6
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f314,plain,
( sk_c9 = multiply(sk_c9,sF6)
| ~ spl12_12 ),
inference(superposition,[],[f301,f51]) ).
fof(f51,plain,
multiply(sk_c2,sk_c9) = sF6,
introduced(function_definition,[]) ).
fof(f301,plain,
( ! [X21] : multiply(sk_c9,multiply(sk_c2,X21)) = X21
| ~ spl12_12 ),
inference(forward_demodulation,[],[f300,f1]) ).
fof(f300,plain,
( ! [X21] : multiply(sk_c9,multiply(sk_c2,X21)) = multiply(identity,X21)
| ~ spl12_12 ),
inference(forward_demodulation,[],[f296,f136]) ).
fof(f136,plain,
( sk_c9 = sF8
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f296,plain,
! [X21] : multiply(identity,X21) = multiply(sF8,multiply(sk_c2,X21)),
inference(superposition,[],[f3,f189]) ).
fof(f189,plain,
identity = multiply(sF8,sk_c2),
inference(superposition,[],[f2,f55]) ).
fof(f55,plain,
inverse(sk_c2) = sF8,
introduced(function_definition,[]) ).
fof(f279,plain,
( ~ spl12_2
| ~ spl12_8
| ~ spl12_14 ),
inference(avatar_contradiction_clause,[],[f278]) ).
fof(f278,plain,
( $false
| ~ spl12_2
| ~ spl12_8
| ~ spl12_14 ),
inference(subsumption_resolution,[],[f277,f96]) ).
fof(f277,plain,
( sk_c8 != sF11
| ~ spl12_8
| ~ spl12_14 ),
inference(superposition,[],[f268,f66]) ).
fof(f268,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl12_8
| ~ spl12_14 ),
inference(subsumption_resolution,[],[f267,f146]) ).
fof(f267,plain,
( sk_c9 != sF10
| sk_c8 != inverse(sk_c5)
| ~ spl12_8 ),
inference(superposition,[],[f118,f64]) ).
fof(f118,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f117,plain,
( spl12_8
<=> ! [X7] :
( sk_c9 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f271,plain,
( ~ spl12_20
| ~ spl12_1
| ~ spl12_8
| ~ spl12_17 ),
inference(avatar_split_clause,[],[f270,f199,f117,f90,f214]) ).
fof(f270,plain,
( sk_c9 != sk_c8
| ~ spl12_1
| ~ spl12_8
| ~ spl12_17 ),
inference(forward_demodulation,[],[f269,f200]) ).
fof(f269,plain,
( inverse(sk_c1) != sk_c8
| ~ spl12_1
| ~ spl12_8 ),
inference(subsumption_resolution,[],[f265,f92]) ).
fof(f265,plain,
( sk_c9 != sF2
| inverse(sk_c1) != sk_c8
| ~ spl12_8 ),
inference(superposition,[],[f118,f45]) ).
fof(f262,plain,
( ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12 ),
inference(avatar_contradiction_clause,[],[f261]) ).
fof(f261,plain,
( $false
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12 ),
inference(subsumption_resolution,[],[f260,f123]) ).
fof(f260,plain,
( sk_c8 != sF0
| ~ spl12_4
| ~ spl12_6
| ~ spl12_12 ),
inference(superposition,[],[f240,f42]) ).
fof(f240,plain,
( sk_c8 != multiply(sk_c9,sk_c3)
| ~ spl12_4
| ~ spl12_6
| ~ spl12_12 ),
inference(forward_demodulation,[],[f239,f105]) ).
fof(f239,plain,
( sk_c8 != multiply(sk_c9,sF6)
| ~ spl12_6
| ~ spl12_12 ),
inference(subsumption_resolution,[],[f238,f136]) ).
fof(f238,plain,
( sk_c8 != multiply(sk_c9,sF6)
| sk_c9 != sF8
| ~ spl12_6 ),
inference(forward_demodulation,[],[f237,f55]) ).
fof(f237,plain,
( sk_c9 != inverse(sk_c2)
| sk_c8 != multiply(sk_c9,sF6)
| ~ spl12_6 ),
inference(superposition,[],[f112,f51]) ).
fof(f229,plain,
( ~ spl12_16
| spl12_17 ),
inference(avatar_contradiction_clause,[],[f228]) ).
fof(f228,plain,
( $false
| ~ spl12_16
| spl12_17 ),
inference(subsumption_resolution,[],[f227,f160]) ).
fof(f227,plain,
( sk_c9 != sF7
| spl12_17 ),
inference(superposition,[],[f201,f53]) ).
fof(f201,plain,
( inverse(sk_c1) != sk_c9
| spl12_17 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f225,plain,
( ~ spl12_5
| ~ spl12_11
| ~ spl12_13 ),
inference(avatar_contradiction_clause,[],[f224]) ).
fof(f224,plain,
( $false
| ~ spl12_5
| ~ spl12_11
| ~ spl12_13 ),
inference(subsumption_resolution,[],[f223,f132]) ).
fof(f223,plain,
( sk_c9 != sF3
| ~ spl12_5
| ~ spl12_13 ),
inference(superposition,[],[f203,f46]) ).
fof(f203,plain,
( sk_c9 != inverse(sk_c4)
| ~ spl12_5
| ~ spl12_13 ),
inference(subsumption_resolution,[],[f196,f141]) ).
fof(f196,plain,
( sk_c9 != inverse(sk_c4)
| sk_c9 != sF1
| ~ spl12_5 ),
inference(superposition,[],[f109,f43]) ).
fof(f109,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c8)
| sk_c9 != inverse(X3) )
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl12_5
<=> ! [X3] :
( sk_c9 != multiply(X3,sk_c8)
| sk_c9 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f202,plain,
( ~ spl12_17
| ~ spl12_1
| ~ spl12_5 ),
inference(avatar_split_clause,[],[f195,f108,f90,f199]) ).
fof(f195,plain,
( sk_c9 != sF2
| inverse(sk_c1) != sk_c9
| ~ spl12_5 ),
inference(superposition,[],[f109,f45]) ).
fof(f184,plain,
( spl12_14
| spl12_1 ),
inference(avatar_split_clause,[],[f83,f90,f144]) ).
fof(f83,plain,
( sk_c9 = sF2
| sk_c9 = sF10 ),
inference(definition_folding,[],[f13,f64,f45]) ).
fof(f13,axiom,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f182,plain,
( spl12_11
| spl12_1 ),
inference(avatar_split_clause,[],[f47,f90,f130]) ).
fof(f47,plain,
( sk_c9 = sF2
| sk_c9 = sF3 ),
inference(definition_folding,[],[f11,f46,f45]) ).
fof(f11,axiom,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f181,plain,
( spl12_16
| spl12_15 ),
inference(avatar_split_clause,[],[f77,f149,f158]) ).
fof(f77,plain,
( sk_c7 = sF5
| sk_c9 = sF7 ),
inference(definition_folding,[],[f9,f50,f53]) ).
fof(f9,axiom,
( inverse(sk_c1) = sk_c9
| sk_c7 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f180,plain,
( spl12_16
| spl12_3 ),
inference(avatar_split_clause,[],[f84,f99,f158]) ).
fof(f84,plain,
( sk_c8 = sF4
| sk_c9 = sF7 ),
inference(definition_folding,[],[f8,f53,f48]) ).
fof(f8,axiom,
( sk_c8 = multiply(sk_c6,sk_c7)
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f179,plain,
( spl12_12
| spl12_15 ),
inference(avatar_split_clause,[],[f70,f149,f134]) ).
fof(f70,plain,
( sk_c7 = sF5
| sk_c9 = sF8 ),
inference(definition_folding,[],[f37,f50,f55]) ).
fof(f37,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c7 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f178,plain,
( spl12_13
| spl12_16 ),
inference(avatar_split_clause,[],[f60,f158,f139]) ).
fof(f60,plain,
( sk_c9 = sF7
| sk_c9 = sF1 ),
inference(definition_folding,[],[f5,f43,f53]) ).
fof(f5,axiom,
( inverse(sk_c1) = sk_c9
| sk_c9 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f177,plain,
( spl12_13
| spl12_1 ),
inference(avatar_split_clause,[],[f72,f90,f139]) ).
fof(f72,plain,
( sk_c9 = sF2
| sk_c9 = sF1 ),
inference(definition_folding,[],[f12,f45,f43]) ).
fof(f12,axiom,
( sk_c9 = multiply(sk_c4,sk_c8)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f176,plain,
( spl12_9
| spl12_2 ),
inference(avatar_split_clause,[],[f79,f94,f121]) ).
fof(f79,plain,
( sk_c8 = sF11
| sk_c8 = sF0 ),
inference(definition_folding,[],[f21,f42,f66]) ).
fof(f21,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f175,plain,
( spl12_9
| spl12_15 ),
inference(avatar_split_clause,[],[f82,f149,f121]) ).
fof(f82,plain,
( sk_c7 = sF5
| sk_c8 = sF0 ),
inference(definition_folding,[],[f23,f42,f50]) ).
fof(f23,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f174,plain,
( spl12_2
| spl12_16 ),
inference(avatar_split_clause,[],[f87,f158,f94]) ).
fof(f87,plain,
( sk_c9 = sF7
| sk_c8 = sF11 ),
inference(definition_folding,[],[f7,f66,f53]) ).
fof(f7,axiom,
( inverse(sk_c1) = sk_c9
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f173,plain,
( spl12_14
| spl12_4 ),
inference(avatar_split_clause,[],[f73,f103,f144]) ).
fof(f73,plain,
( sk_c3 = sF6
| sk_c9 = sF10 ),
inference(definition_folding,[],[f27,f64,f51]) ).
fof(f27,axiom,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f172,plain,
( spl12_16
| spl12_11 ),
inference(avatar_split_clause,[],[f54,f130,f158]) ).
fof(f54,plain,
( sk_c9 = sF3
| sk_c9 = sF7 ),
inference(definition_folding,[],[f4,f46,f53]) ).
fof(f4,axiom,
( inverse(sk_c1) = sk_c9
| sk_c9 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f171,plain,
( spl12_15
| spl12_1 ),
inference(avatar_split_clause,[],[f80,f90,f149]) ).
fof(f80,plain,
( sk_c9 = sF2
| sk_c7 = sF5 ),
inference(definition_folding,[],[f16,f45,f50]) ).
fof(f16,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f168,plain,
( spl12_11
| spl12_4 ),
inference(avatar_split_clause,[],[f68,f103,f130]) ).
fof(f68,plain,
( sk_c3 = sF6
| sk_c9 = sF3 ),
inference(definition_folding,[],[f25,f51,f46]) ).
fof(f25,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f167,plain,
( spl12_13
| spl12_4 ),
inference(avatar_split_clause,[],[f78,f103,f139]) ).
fof(f78,plain,
( sk_c3 = sF6
| sk_c9 = sF1 ),
inference(definition_folding,[],[f26,f43,f51]) ).
fof(f26,axiom,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f166,plain,
( spl12_12
| spl12_2 ),
inference(avatar_split_clause,[],[f86,f94,f134]) ).
fof(f86,plain,
( sk_c8 = sF11
| sk_c9 = sF8 ),
inference(definition_folding,[],[f35,f55,f66]) ).
fof(f35,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f165,plain,
( spl12_2
| spl12_4 ),
inference(avatar_split_clause,[],[f85,f103,f94]) ).
fof(f85,plain,
( sk_c3 = sF6
| sk_c8 = sF11 ),
inference(definition_folding,[],[f28,f66,f51]) ).
fof(f28,axiom,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f164,plain,
( spl12_3
| spl12_9 ),
inference(avatar_split_clause,[],[f49,f121,f99]) ).
fof(f49,plain,
( sk_c8 = sF0
| sk_c8 = sF4 ),
inference(definition_folding,[],[f22,f48,f42]) ).
fof(f22,axiom,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c8 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f163,plain,
( spl12_14
| spl12_16 ),
inference(avatar_split_clause,[],[f75,f158,f144]) ).
fof(f75,plain,
( sk_c9 = sF7
| sk_c9 = sF10 ),
inference(definition_folding,[],[f6,f53,f64]) ).
fof(f6,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f162,plain,
( spl12_1
| spl12_3 ),
inference(avatar_split_clause,[],[f74,f99,f90]) ).
fof(f74,plain,
( sk_c8 = sF4
| sk_c9 = sF2 ),
inference(definition_folding,[],[f15,f48,f45]) ).
fof(f15,axiom,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f161,plain,
( spl12_10
| spl12_16 ),
inference(avatar_split_clause,[],[f58,f158,f125]) ).
fof(f58,plain,
( sk_c9 = sF7
| sk_c8 = sF9 ),
inference(definition_folding,[],[f10,f53,f56]) ).
fof(f10,axiom,
( sk_c8 = multiply(sk_c7,sk_c9)
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f155,plain,
( spl12_14
| spl12_12 ),
inference(avatar_split_clause,[],[f71,f134,f144]) ).
fof(f71,plain,
( sk_c9 = sF8
| sk_c9 = sF10 ),
inference(definition_folding,[],[f34,f64,f55]) ).
fof(f34,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f154,plain,
( spl12_4
| spl12_10 ),
inference(avatar_split_clause,[],[f69,f125,f103]) ).
fof(f69,plain,
( sk_c8 = sF9
| sk_c3 = sF6 ),
inference(definition_folding,[],[f31,f56,f51]) ).
fof(f31,axiom,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c8 = multiply(sk_c7,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f153,plain,
( spl12_12
| spl12_3 ),
inference(avatar_split_clause,[],[f59,f99,f134]) ).
fof(f59,plain,
( sk_c8 = sF4
| sk_c9 = sF8 ),
inference(definition_folding,[],[f36,f48,f55]) ).
fof(f36,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c8 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f152,plain,
( spl12_15
| spl12_4 ),
inference(avatar_split_clause,[],[f52,f103,f149]) ).
fof(f52,plain,
( sk_c3 = sF6
| sk_c7 = sF5 ),
inference(definition_folding,[],[f30,f51,f50]) ).
fof(f30,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f147,plain,
( spl12_9
| spl12_14 ),
inference(avatar_split_clause,[],[f65,f144,f121]) ).
fof(f65,plain,
( sk_c9 = sF10
| sk_c8 = sF0 ),
inference(definition_folding,[],[f20,f64,f42]) ).
fof(f20,axiom,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f119,plain,
( spl12_5
| spl12_6
| spl12_5
| spl12_7
| spl12_8 ),
inference(avatar_split_clause,[],[f41,f117,f114,f108,f111,f108]) ).
fof(f41,plain,
! [X3,X8,X6,X7,X5] :
( sk_c9 != multiply(X7,sk_c8)
| sk_c8 != multiply(inverse(X8),sk_c9)
| sk_c9 != multiply(X6,sk_c8)
| sk_c8 != inverse(X7)
| sk_c9 != inverse(X6)
| sk_c9 != inverse(X5)
| sk_c9 != multiply(X3,sk_c8)
| sk_c8 != multiply(X8,inverse(X8))
| sk_c9 != inverse(X3)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9)) ),
inference(equality_resolution,[],[f40]) ).
fof(f40,plain,
! [X3,X8,X6,X7,X4,X5] :
( sk_c9 != inverse(X6)
| sk_c8 != multiply(inverse(X8),sk_c9)
| sk_c9 != inverse(X3)
| sk_c8 != inverse(X7)
| sk_c9 != inverse(X5)
| multiply(X5,sk_c9) != X4
| sk_c8 != multiply(X8,inverse(X8))
| sk_c9 != multiply(X6,sk_c8)
| sk_c8 != multiply(sk_c9,X4)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != multiply(X3,sk_c8) ),
inference(equality_resolution,[],[f39]) ).
fof(f39,axiom,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c9 != inverse(X6)
| sk_c8 != multiply(X9,sk_c9)
| sk_c9 != inverse(X3)
| sk_c8 != inverse(X7)
| sk_c9 != inverse(X5)
| inverse(X8) != X9
| multiply(X5,sk_c9) != X4
| sk_c8 != multiply(X8,X9)
| sk_c9 != multiply(X6,sk_c8)
| sk_c8 != multiply(sk_c9,X4)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != multiply(X3,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f106,plain,
( spl12_3
| spl12_4 ),
inference(avatar_split_clause,[],[f61,f103,f99]) ).
fof(f61,plain,
( sk_c3 = sF6
| sk_c8 = sF4 ),
inference(definition_folding,[],[f29,f48,f51]) ).
fof(f29,axiom,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c8 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f97,plain,
( spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f67,f94,f90]) ).
fof(f67,plain,
( sk_c8 = sF11
| sk_c9 = sF2 ),
inference(definition_folding,[],[f14,f45,f66]) ).
fof(f14,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP225-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:42:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.47 % (23465)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)
% 0.19/0.48 % (23473)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)
% 0.19/0.51 % (23459)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (23456)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (23455)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 % (23457)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)
% 0.19/0.52 % (23450)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (23447)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 % (23449)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)
% 0.19/0.52 % (23451)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 % (23446)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.53 % (23448)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)
% 0.19/0.53 % (23468)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 % (23458)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53 % (23460)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 % (23472)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 % (23463)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]
% 0.19/0.54 % (23464)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (23452)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)
% 0.19/0.54 % (23475)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 % (23470)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 % (23453)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54 % (23474)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 % (23469)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 % (23454)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54 % (23467)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54 % (23454)Instruction limit reached!
% 0.19/0.54 % (23454)------------------------------
% 0.19/0.54 % (23454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (23454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (23454)Termination reason: Unknown
% 0.19/0.54 % (23454)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (23454)Memory used [KB]: 895
% 0.19/0.54 % (23454)Time elapsed: 0.002 s
% 0.19/0.54 % (23454)Instructions burned: 2 (million)
% 0.19/0.54 % (23454)------------------------------
% 0.19/0.54 % (23454)------------------------------
% 0.19/0.54 % (23471)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54 % (23462)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 % (23466)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)
% 0.19/0.55 TRYING [1]
% 0.19/0.55 TRYING [2]
% 0.19/0.55 % (23461)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)
% 0.19/0.55 TRYING [3]
% 0.19/0.56 TRYING [2]
% 0.19/0.56 TRYING [3]
% 0.19/0.56 TRYING [1]
% 0.19/0.56 TRYING [2]
% 0.19/0.56 % (23458)First to succeed.
% 0.19/0.56 % (23453)Instruction limit reached!
% 0.19/0.56 % (23453)------------------------------
% 0.19/0.56 % (23453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (23453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (23453)Termination reason: Unknown
% 0.19/0.56 % (23453)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (23453)Memory used [KB]: 5500
% 0.19/0.56 % (23453)Time elapsed: 0.141 s
% 0.19/0.56 % (23453)Instructions burned: 7 (million)
% 0.19/0.56 % (23453)------------------------------
% 0.19/0.56 % (23453)------------------------------
% 0.19/0.57 TRYING [4]
% 0.19/0.57 TRYING [3]
% 0.19/0.57 TRYING [4]
% 0.19/0.57 TRYING [4]
% 0.19/0.58 % (23458)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
% 0.19/0.58 % (23458)------------------------------
% 0.19/0.58 % (23458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (23458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (23458)Termination reason: Refutation
% 0.19/0.58
% 0.19/0.58 % (23458)Memory used [KB]: 5884
% 0.19/0.58 % (23458)Time elapsed: 0.162 s
% 0.19/0.58 % (23458)Instructions burned: 22 (million)
% 0.19/0.58 % (23458)------------------------------
% 0.19/0.58 % (23458)------------------------------
% 0.19/0.58 % (23445)Success in time 0.231 s
%------------------------------------------------------------------------------