TSTP Solution File: GRP385-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP385-1 : 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 : n012.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 16:21:30 EDT 2022
% Result : Unsatisfiable 1.65s 0.63s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 48
% Syntax : Number of formulae : 204 ( 6 unt; 0 def)
% Number of atoms : 824 ( 258 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 1211 ( 591 ~; 598 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 23 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 63 ( 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f868,plain,
$false,
inference(avatar_sat_refutation,[],[f68,f104,f109,f118,f119,f120,f123,f132,f133,f140,f141,f142,f143,f144,f145,f153,f154,f155,f156,f157,f165,f166,f167,f169,f175,f176,f195,f326,f361,f436,f523,f541,f583,f595,f634,f663,f858,f867]) ).
fof(f867,plain,
( ~ spl3_2
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15
| ~ spl3_19
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f866]) ).
fof(f866,plain,
( $false
| ~ spl3_2
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15
| ~ spl3_19
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f865,f624]) ).
fof(f624,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15
| ~ spl3_20 ),
inference(backward_demodulation,[],[f173,f618]) ).
fof(f618,plain,
( sk_c10 = sk_c9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15 ),
inference(backward_demodulation,[],[f139,f613]) ).
fof(f613,plain,
( sk_c10 = multiply(sk_c10,sk_c4)
| ~ spl3_10
| ~ spl3_12 ),
inference(superposition,[],[f388,f117]) ).
fof(f117,plain,
( sk_c4 = multiply(sk_c3,sk_c10)
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f115,plain,
( spl3_12
<=> sk_c4 = multiply(sk_c3,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f388,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c3,X0)) = X0
| ~ spl3_10 ),
inference(forward_demodulation,[],[f387,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f387,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c3,X0))
| ~ spl3_10 ),
inference(superposition,[],[f3,f381]) ).
fof(f381,plain,
( identity = multiply(sk_c10,sk_c3)
| ~ spl3_10 ),
inference(superposition,[],[f2,f103]) ).
fof(f103,plain,
( sk_c10 = inverse(sk_c3)
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl3_10
<=> sk_c10 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
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(f139,plain,
( sk_c9 = multiply(sk_c10,sk_c4)
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl3_15
<=> sk_c9 = multiply(sk_c10,sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f173,plain,
( inverse(sk_c10) = sk_c9
| ~ spl3_20 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f172,plain,
( spl3_20
<=> inverse(sk_c10) = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).
fof(f865,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl3_2
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f859]) ).
fof(f859,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c10)
| ~ spl3_2
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15
| ~ spl3_19 ),
inference(superposition,[],[f164,f621]) ).
fof(f621,plain,
( sk_c10 = multiply(sk_c10,sk_c8)
| ~ spl3_2
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15 ),
inference(backward_demodulation,[],[f62,f618]) ).
fof(f62,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl3_2
<=> sk_c10 = multiply(sk_c9,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f164,plain,
( ! [X9] :
( sk_c10 != multiply(X9,sk_c8)
| sk_c10 != inverse(X9) )
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f163,plain,
( spl3_19
<=> ! [X9] :
( sk_c10 != inverse(X9)
| sk_c10 != multiply(X9,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f858,plain,
( ~ spl3_1
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15
| ~ spl3_16
| ~ spl3_20
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f857]) ).
fof(f857,plain,
( $false
| ~ spl3_1
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15
| ~ spl3_16
| ~ spl3_20
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f856,f614]) ).
fof(f614,plain,
( sk_c8 = multiply(sk_c10,sk_c10)
| ~ spl3_1
| ~ spl3_9
| ~ spl3_10
| ~ spl3_20 ),
inference(superposition,[],[f388,f560]) ).
fof(f560,plain,
( sk_c10 = multiply(sk_c3,sk_c8)
| ~ spl3_1
| ~ spl3_9
| ~ spl3_10
| ~ spl3_20 ),
inference(backward_demodulation,[],[f98,f558]) ).
fof(f558,plain,
( sk_c3 = sk_c7
| ~ spl3_1
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f395,f394]) ).
fof(f394,plain,
( sk_c3 = multiply(sk_c9,identity)
| ~ spl3_10
| ~ spl3_20 ),
inference(superposition,[],[f215,f381]) ).
fof(f215,plain,
( ! [X9] : multiply(sk_c9,multiply(sk_c10,X9)) = X9
| ~ spl3_20 ),
inference(forward_demodulation,[],[f210,f1]) ).
fof(f210,plain,
( ! [X9] : multiply(sk_c9,multiply(sk_c10,X9)) = multiply(identity,X9)
| ~ spl3_20 ),
inference(superposition,[],[f3,f178]) ).
fof(f178,plain,
( identity = multiply(sk_c9,sk_c10)
| ~ spl3_20 ),
inference(superposition,[],[f2,f173]) ).
fof(f395,plain,
( sk_c7 = multiply(sk_c9,identity)
| ~ spl3_1
| ~ spl3_20 ),
inference(superposition,[],[f215,f383]) ).
fof(f383,plain,
( identity = multiply(sk_c10,sk_c7)
| ~ spl3_1 ),
inference(superposition,[],[f2,f58]) ).
fof(f58,plain,
( sk_c10 = inverse(sk_c7)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f56,plain,
( spl3_1
<=> sk_c10 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f98,plain,
( sk_c10 = multiply(sk_c7,sk_c8)
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl3_9
<=> sk_c10 = multiply(sk_c7,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f856,plain,
( sk_c8 != multiply(sk_c10,sk_c10)
| ~ spl3_1
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15
| ~ spl3_16
| ~ spl3_20
| ~ spl3_22 ),
inference(forward_demodulation,[],[f855,f624]) ).
fof(f855,plain,
( sk_c8 != multiply(sk_c10,inverse(sk_c10))
| ~ spl3_1
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15
| ~ spl3_16
| ~ spl3_20
| ~ spl3_22 ),
inference(forward_demodulation,[],[f854,f624]) ).
fof(f854,plain,
( sk_c8 != multiply(inverse(sk_c10),inverse(inverse(sk_c10)))
| ~ spl3_1
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15
| ~ spl3_16
| ~ spl3_20
| ~ spl3_22 ),
inference(forward_demodulation,[],[f836,f624]) ).
fof(f836,plain,
( sk_c8 != multiply(inverse(inverse(sk_c10)),inverse(inverse(inverse(sk_c10))))
| ~ spl3_1
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15
| ~ spl3_16
| ~ spl3_20
| ~ spl3_22 ),
inference(trivial_inequality_removal,[],[f835]) ).
fof(f835,plain,
( sk_c8 != multiply(inverse(inverse(sk_c10)),inverse(inverse(inverse(sk_c10))))
| sk_c8 != sk_c8
| ~ spl3_1
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15
| ~ spl3_16
| ~ spl3_20
| ~ spl3_22 ),
inference(superposition,[],[f666,f757]) ).
fof(f757,plain,
( ! [X0] : sk_c8 = multiply(inverse(inverse(inverse(X0))),X0)
| ~ spl3_1
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15
| ~ spl3_20
| ~ spl3_22 ),
inference(superposition,[],[f679,f723]) ).
fof(f723,plain,
( ! [X1] : multiply(inverse(inverse(X1)),sk_c8) = X1
| ~ spl3_1
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15
| ~ spl3_20
| ~ spl3_22 ),
inference(superposition,[],[f679,f685]) ).
fof(f685,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c8
| ~ spl3_1
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15
| ~ spl3_20
| ~ spl3_22 ),
inference(backward_demodulation,[],[f589,f680]) ).
fof(f680,plain,
( sk_c8 = sk_c4
| ~ spl3_1
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15
| ~ spl3_20
| ~ spl3_22 ),
inference(backward_demodulation,[],[f636,f614]) ).
fof(f636,plain,
( sk_c4 = multiply(sk_c10,sk_c10)
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15
| ~ spl3_20
| ~ spl3_22 ),
inference(forward_demodulation,[],[f581,f618]) ).
fof(f581,plain,
( sk_c4 = multiply(sk_c9,sk_c10)
| ~ spl3_10
| ~ spl3_12
| ~ spl3_20
| ~ spl3_22 ),
inference(backward_demodulation,[],[f117,f576]) ).
fof(f576,plain,
( sk_c9 = sk_c3
| ~ spl3_10
| ~ spl3_20
| ~ spl3_22 ),
inference(backward_demodulation,[],[f394,f571]) ).
fof(f571,plain,
( sk_c9 = multiply(sk_c9,identity)
| ~ spl3_20
| ~ spl3_22 ),
inference(superposition,[],[f215,f564]) ).
fof(f564,plain,
( identity = multiply(sk_c10,sk_c9)
| ~ spl3_22 ),
inference(superposition,[],[f2,f190]) ).
fof(f190,plain,
( sk_c10 = inverse(sk_c9)
| ~ spl3_22 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f189,plain,
( spl3_22
<=> sk_c10 = inverse(sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).
fof(f589,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c4
| ~ spl3_10
| ~ spl3_12
| ~ spl3_20
| ~ spl3_22 ),
inference(backward_demodulation,[],[f2,f585]) ).
fof(f585,plain,
( identity = sk_c4
| ~ spl3_10
| ~ spl3_12
| ~ spl3_20
| ~ spl3_22 ),
inference(backward_demodulation,[],[f178,f581]) ).
fof(f679,plain,
( ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1
| ~ spl3_10
| ~ spl3_12
| ~ spl3_20
| ~ spl3_22 ),
inference(forward_demodulation,[],[f678,f588]) ).
fof(f588,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl3_10
| ~ spl3_12
| ~ spl3_20
| ~ spl3_22 ),
inference(backward_demodulation,[],[f1,f585]) ).
fof(f678,plain,
( ! [X0,X1] : multiply(sk_c4,X1) = multiply(inverse(X0),multiply(X0,X1))
| ~ spl3_10
| ~ spl3_12
| ~ spl3_20
| ~ spl3_22 ),
inference(superposition,[],[f3,f589]) ).
fof(f666,plain,
( ! [X7] :
( sk_c8 != multiply(X7,inverse(X7))
| sk_c8 != multiply(inverse(X7),sk_c10) )
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15
| ~ spl3_16 ),
inference(forward_demodulation,[],[f148,f618]) ).
fof(f148,plain,
( ! [X7] :
( sk_c8 != multiply(inverse(X7),sk_c9)
| sk_c8 != multiply(X7,inverse(X7)) )
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl3_16
<=> ! [X7] :
( sk_c8 != multiply(X7,inverse(X7))
| sk_c8 != multiply(inverse(X7),sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f663,plain,
( ~ spl3_2
| spl3_3
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f662]) ).
fof(f662,plain,
( $false
| ~ spl3_2
| spl3_3
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f637,f621]) ).
fof(f637,plain,
( sk_c10 != multiply(sk_c10,sk_c8)
| spl3_3
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15 ),
inference(forward_demodulation,[],[f66,f618]) ).
fof(f66,plain,
( sk_c9 != multiply(sk_c10,sk_c8)
| spl3_3 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl3_3
<=> sk_c9 = multiply(sk_c10,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f634,plain,
( ~ spl3_10
| ~ spl3_12
| ~ spl3_15
| ~ spl3_20
| spl3_22 ),
inference(avatar_contradiction_clause,[],[f633]) ).
fof(f633,plain,
( $false
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15
| ~ spl3_20
| spl3_22 ),
inference(subsumption_resolution,[],[f627,f624]) ).
fof(f627,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15
| spl3_22 ),
inference(backward_demodulation,[],[f191,f618]) ).
fof(f191,plain,
( sk_c10 != inverse(sk_c9)
| spl3_22 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f595,plain,
( ~ spl3_10
| ~ spl3_12
| ~ spl3_15
| ~ spl3_20
| spl3_21
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f594]) ).
fof(f594,plain,
( $false
| ~ spl3_10
| ~ spl3_12
| ~ spl3_15
| ~ spl3_20
| spl3_21
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f590,f139]) ).
fof(f590,plain,
( sk_c9 != multiply(sk_c10,sk_c4)
| ~ spl3_10
| ~ spl3_12
| ~ spl3_20
| spl3_21
| ~ spl3_22 ),
inference(backward_demodulation,[],[f187,f585]) ).
fof(f187,plain,
( sk_c9 != multiply(sk_c10,identity)
| spl3_21 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f185,plain,
( spl3_21
<=> sk_c9 = multiply(sk_c10,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).
fof(f583,plain,
( spl3_2
| ~ spl3_1
| ~ spl3_9
| ~ spl3_10
| ~ spl3_20
| ~ spl3_22 ),
inference(avatar_split_clause,[],[f578,f189,f172,f101,f96,f56,f60]) ).
fof(f578,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| ~ spl3_1
| ~ spl3_9
| ~ spl3_10
| ~ spl3_20
| ~ spl3_22 ),
inference(backward_demodulation,[],[f560,f576]) ).
fof(f541,plain,
( ~ spl3_22
| ~ spl3_21
| ~ spl3_14
| ~ spl3_20 ),
inference(avatar_split_clause,[],[f183,f172,f130,f185,f189]) ).
fof(f130,plain,
( spl3_14
<=> ! [X6] :
( sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c10 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f183,plain,
( sk_c9 != multiply(sk_c10,identity)
| sk_c10 != inverse(sk_c9)
| ~ spl3_14
| ~ spl3_20 ),
inference(forward_demodulation,[],[f182,f173]) ).
fof(f182,plain,
( sk_c9 != multiply(sk_c10,identity)
| sk_c10 != inverse(inverse(sk_c10))
| ~ spl3_14 ),
inference(superposition,[],[f131,f2]) ).
fof(f131,plain,
( ! [X6] :
( sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c10 != inverse(X6) )
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f523,plain,
( spl3_2
| ~ spl3_3
| ~ spl3_10
| ~ spl3_11
| ~ spl3_12
| ~ spl3_15
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f522]) ).
fof(f522,plain,
( $false
| spl3_2
| ~ spl3_3
| ~ spl3_10
| ~ spl3_11
| ~ spl3_12
| ~ spl3_15
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f508,f507]) ).
fof(f507,plain,
( sk_c10 = multiply(sk_c10,sk_c8)
| ~ spl3_3
| ~ spl3_10
| ~ spl3_11
| ~ spl3_12
| ~ spl3_15
| ~ spl3_20 ),
inference(forward_demodulation,[],[f67,f450]) ).
fof(f450,plain,
( sk_c10 = sk_c9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_12
| ~ spl3_15
| ~ spl3_20 ),
inference(backward_demodulation,[],[f139,f442]) ).
fof(f442,plain,
( sk_c10 = multiply(sk_c10,sk_c4)
| ~ spl3_10
| ~ spl3_11
| ~ spl3_12
| ~ spl3_20 ),
inference(superposition,[],[f216,f404]) ).
fof(f404,plain,
( sk_c4 = multiply(sk_c1,sk_c10)
| ~ spl3_10
| ~ spl3_11
| ~ spl3_12
| ~ spl3_20 ),
inference(backward_demodulation,[],[f117,f400]) ).
fof(f400,plain,
( sk_c3 = sk_c1
| ~ spl3_10
| ~ spl3_11
| ~ spl3_20 ),
inference(forward_demodulation,[],[f394,f221]) ).
fof(f221,plain,
( sk_c1 = multiply(sk_c9,identity)
| ~ spl3_11
| ~ spl3_20 ),
inference(superposition,[],[f215,f177]) ).
fof(f177,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl3_11 ),
inference(superposition,[],[f2,f108]) ).
fof(f108,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl3_11
<=> sk_c10 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f216,plain,
( ! [X13] : multiply(sk_c10,multiply(sk_c1,X13)) = X13
| ~ spl3_11 ),
inference(forward_demodulation,[],[f214,f1]) ).
fof(f214,plain,
( ! [X13] : multiply(identity,X13) = multiply(sk_c10,multiply(sk_c1,X13))
| ~ spl3_11 ),
inference(superposition,[],[f3,f177]) ).
fof(f67,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f508,plain,
( sk_c10 != multiply(sk_c10,sk_c8)
| spl3_2
| ~ spl3_10
| ~ spl3_11
| ~ spl3_12
| ~ spl3_15
| ~ spl3_20 ),
inference(forward_demodulation,[],[f61,f450]) ).
fof(f61,plain,
( sk_c10 != multiply(sk_c9,sk_c8)
| spl3_2 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f436,plain,
( ~ spl3_5
| spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_12
| ~ spl3_15
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f435]) ).
fof(f435,plain,
( $false
| ~ spl3_5
| spl3_7
| ~ spl3_10
| ~ spl3_11
| ~ spl3_12
| ~ spl3_15
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f434,f433]) ).
fof(f433,plain,
( sk_c10 = sk_c9
| ~ spl3_5
| ~ spl3_10
| ~ spl3_11
| ~ spl3_12
| ~ spl3_15
| ~ spl3_20 ),
inference(forward_demodulation,[],[f407,f412]) ).
fof(f412,plain,
( sk_c10 = multiply(sk_c10,sk_c2)
| ~ spl3_5
| ~ spl3_11 ),
inference(superposition,[],[f216,f76]) ).
fof(f76,plain,
( sk_c2 = multiply(sk_c1,sk_c10)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f74,plain,
( spl3_5
<=> sk_c2 = multiply(sk_c1,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f407,plain,
( sk_c9 = multiply(sk_c10,sk_c2)
| ~ spl3_5
| ~ spl3_10
| ~ spl3_11
| ~ spl3_12
| ~ spl3_15
| ~ spl3_20 ),
inference(backward_demodulation,[],[f139,f406]) ).
fof(f406,plain,
( sk_c4 = sk_c2
| ~ spl3_5
| ~ spl3_10
| ~ spl3_11
| ~ spl3_12
| ~ spl3_20 ),
inference(forward_demodulation,[],[f404,f76]) ).
fof(f434,plain,
( sk_c10 != sk_c9
| ~ spl3_5
| spl3_7
| ~ spl3_11 ),
inference(forward_demodulation,[],[f87,f412]) ).
fof(f87,plain,
( sk_c9 != multiply(sk_c10,sk_c2)
| spl3_7 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl3_7
<=> sk_c9 = multiply(sk_c10,sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f361,plain,
( ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_19
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f360]) ).
fof(f360,plain,
( $false
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_19
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f346,f239]) ).
fof(f239,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_20 ),
inference(backward_demodulation,[],[f173,f235]) ).
fof(f235,plain,
( sk_c10 = sk_c9
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_20 ),
inference(backward_demodulation,[],[f67,f231]) ).
fof(f231,plain,
( sk_c10 = multiply(sk_c10,sk_c8)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_20 ),
inference(superposition,[],[f216,f227]) ).
fof(f227,plain,
( sk_c8 = multiply(sk_c1,sk_c10)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_20 ),
inference(backward_demodulation,[],[f76,f225]) ).
fof(f225,plain,
( sk_c8 = sk_c2
| ~ spl3_3
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_demodulation,[],[f220,f219]) ).
fof(f219,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl3_3
| ~ spl3_20 ),
inference(superposition,[],[f215,f67]) ).
fof(f220,plain,
( sk_c2 = multiply(sk_c9,sk_c9)
| ~ spl3_7
| ~ spl3_20 ),
inference(superposition,[],[f215,f88]) ).
fof(f88,plain,
( sk_c9 = multiply(sk_c10,sk_c2)
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f346,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_19
| ~ spl3_20 ),
inference(trivial_inequality_removal,[],[f340]) ).
fof(f340,plain,
( sk_c10 != inverse(sk_c10)
| sk_c10 != sk_c10
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_19
| ~ spl3_20 ),
inference(superposition,[],[f164,f231]) ).
fof(f326,plain,
( ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_16
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f325]) ).
fof(f325,plain,
( $false
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_16
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f324,f242]) ).
fof(f242,plain,
( sk_c8 = multiply(sk_c10,sk_c10)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_20 ),
inference(backward_demodulation,[],[f219,f235]) ).
fof(f324,plain,
( sk_c8 != multiply(sk_c10,sk_c10)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_16
| ~ spl3_20 ),
inference(forward_demodulation,[],[f312,f239]) ).
fof(f312,plain,
( sk_c8 != multiply(sk_c10,inverse(sk_c10))
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_16
| ~ spl3_20 ),
inference(trivial_inequality_removal,[],[f307]) ).
fof(f307,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c10,inverse(sk_c10))
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_16
| ~ spl3_20 ),
inference(superposition,[],[f247,f251]) ).
fof(f251,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c8
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_20 ),
inference(backward_demodulation,[],[f2,f248]) ).
fof(f248,plain,
( identity = sk_c8
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_20 ),
inference(backward_demodulation,[],[f240,f242]) ).
fof(f240,plain,
( identity = multiply(sk_c10,sk_c10)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_20 ),
inference(backward_demodulation,[],[f178,f235]) ).
fof(f247,plain,
( ! [X7] :
( sk_c8 != multiply(inverse(X7),sk_c10)
| sk_c8 != multiply(X7,inverse(X7)) )
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_16
| ~ spl3_20 ),
inference(forward_demodulation,[],[f148,f235]) ).
fof(f195,plain,
( ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f194]) ).
fof(f194,plain,
( $false
| ~ spl3_5
| ~ spl3_7
| ~ spl3_11
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f193,f108]) ).
fof(f193,plain,
( sk_c10 != inverse(sk_c1)
| ~ spl3_5
| ~ spl3_7
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f179,f88]) ).
fof(f179,plain,
( sk_c9 != multiply(sk_c10,sk_c2)
| sk_c10 != inverse(sk_c1)
| ~ spl3_5
| ~ spl3_14 ),
inference(superposition,[],[f131,f76]) ).
fof(f176,plain,
spl3_20,
inference(avatar_split_clause,[],[f4,f172]) ).
fof(f4,axiom,
inverse(sk_c10) = sk_c9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f175,plain,
( ~ spl3_3
| ~ spl3_2
| ~ spl3_17
| ~ spl3_20
| spl3_14
| ~ spl3_18
| ~ spl3_13 ),
inference(avatar_split_clause,[],[f54,f126,f159,f130,f172,f150,f60,f65]) ).
fof(f150,plain,
( spl3_17
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f159,plain,
( spl3_18
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f126,plain,
( spl3_13
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f54,plain,
! [X4] :
( ~ sP0
| ~ sP1
| sk_c10 != inverse(X4)
| inverse(sk_c10) != sk_c9
| ~ sP2
| sk_c10 != multiply(sk_c9,sk_c8)
| sk_c9 != multiply(sk_c10,multiply(X4,sk_c10))
| sk_c9 != multiply(sk_c10,sk_c8) ),
inference(general_splitting,[],[f52,f53_D]) ).
fof(f53,plain,
! [X7] :
( sP2
| sk_c8 != multiply(X7,inverse(X7))
| sk_c8 != multiply(inverse(X7),sk_c9) ),
inference(cnf_transformation,[],[f53_D]) ).
fof(f53_D,plain,
( ! [X7] :
( sk_c8 != multiply(X7,inverse(X7))
| sk_c8 != multiply(inverse(X7),sk_c9) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f52,plain,
! [X7,X4] :
( sk_c10 != inverse(X4)
| sk_c8 != multiply(X7,inverse(X7))
| sk_c10 != multiply(sk_c9,sk_c8)
| inverse(sk_c10) != sk_c9
| sk_c8 != multiply(inverse(X7),sk_c9)
| sk_c9 != multiply(sk_c10,multiply(X4,sk_c10))
| sk_c9 != multiply(sk_c10,sk_c8)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f50,f51_D]) ).
fof(f51,plain,
! [X9] :
( sk_c10 != inverse(X9)
| sP1
| sk_c10 != multiply(X9,sk_c8) ),
inference(cnf_transformation,[],[f51_D]) ).
fof(f51_D,plain,
( ! [X9] :
( sk_c10 != inverse(X9)
| sk_c10 != multiply(X9,sk_c8) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f50,plain,
! [X9,X7,X4] :
( sk_c10 != inverse(X4)
| sk_c8 != multiply(X7,inverse(X7))
| sk_c10 != multiply(X9,sk_c8)
| sk_c10 != multiply(sk_c9,sk_c8)
| inverse(sk_c10) != sk_c9
| sk_c8 != multiply(inverse(X7),sk_c9)
| sk_c10 != inverse(X9)
| sk_c9 != multiply(sk_c10,multiply(X4,sk_c10))
| sk_c9 != multiply(sk_c10,sk_c8)
| ~ sP0 ),
inference(general_splitting,[],[f48,f49_D]) ).
fof(f49,plain,
! [X6] :
( sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sP0
| sk_c10 != inverse(X6) ),
inference(cnf_transformation,[],[f49_D]) ).
fof(f49_D,plain,
( ! [X6] :
( sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c10 != inverse(X6) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f48,plain,
! [X6,X9,X7,X4] :
( sk_c10 != inverse(X4)
| sk_c8 != multiply(X7,inverse(X7))
| sk_c10 != multiply(X9,sk_c8)
| sk_c10 != multiply(sk_c9,sk_c8)
| inverse(sk_c10) != sk_c9
| sk_c10 != inverse(X6)
| sk_c8 != multiply(inverse(X7),sk_c9)
| sk_c10 != inverse(X9)
| sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c9 != multiply(sk_c10,multiply(X4,sk_c10))
| sk_c9 != multiply(sk_c10,sk_c8) ),
inference(equality_resolution,[],[f47]) ).
fof(f47,plain,
! [X6,X9,X7,X4,X5] :
( sk_c10 != inverse(X4)
| sk_c8 != multiply(X7,inverse(X7))
| sk_c10 != multiply(X9,sk_c8)
| sk_c10 != multiply(sk_c9,sk_c8)
| inverse(sk_c10) != sk_c9
| sk_c10 != inverse(X6)
| sk_c8 != multiply(inverse(X7),sk_c9)
| sk_c10 != inverse(X9)
| sk_c9 != multiply(sk_c10,X5)
| multiply(X6,sk_c10) != X5
| sk_c9 != multiply(sk_c10,multiply(X4,sk_c10))
| sk_c9 != multiply(sk_c10,sk_c8) ),
inference(equality_resolution,[],[f46]) ).
fof(f46,plain,
! [X3,X6,X9,X7,X4,X5] :
( multiply(X4,sk_c10) != X3
| sk_c10 != inverse(X4)
| sk_c8 != multiply(X7,inverse(X7))
| sk_c10 != multiply(X9,sk_c8)
| sk_c10 != multiply(sk_c9,sk_c8)
| inverse(sk_c10) != sk_c9
| sk_c10 != inverse(X6)
| sk_c8 != multiply(inverse(X7),sk_c9)
| sk_c10 != inverse(X9)
| sk_c9 != multiply(sk_c10,X5)
| multiply(X6,sk_c10) != X5
| sk_c9 != multiply(sk_c10,X3)
| sk_c9 != multiply(sk_c10,sk_c8) ),
inference(equality_resolution,[],[f45]) ).
fof(f45,axiom,
! [X3,X8,X6,X9,X7,X4,X5] :
( inverse(X7) != X8
| multiply(X4,sk_c10) != X3
| sk_c10 != inverse(X4)
| sk_c8 != multiply(X7,X8)
| sk_c10 != multiply(X9,sk_c8)
| sk_c10 != multiply(sk_c9,sk_c8)
| inverse(sk_c10) != sk_c9
| sk_c10 != inverse(X6)
| sk_c8 != multiply(X8,sk_c9)
| sk_c10 != inverse(X9)
| sk_c9 != multiply(sk_c10,X5)
| multiply(X6,sk_c10) != X5
| sk_c9 != multiply(sk_c10,X3)
| sk_c9 != multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f169,plain,
( spl3_9
| spl3_5 ),
inference(avatar_split_clause,[],[f36,f74,f96]) ).
fof(f36,axiom,
( sk_c2 = multiply(sk_c1,sk_c10)
| sk_c10 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f167,plain,
( spl3_3
| spl3_15 ),
inference(avatar_split_clause,[],[f13,f137,f65]) ).
fof(f13,axiom,
( sk_c9 = multiply(sk_c10,sk_c4)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f166,plain,
( spl3_3
| spl3_12 ),
inference(avatar_split_clause,[],[f14,f115,f65]) ).
fof(f14,axiom,
( sk_c4 = multiply(sk_c3,sk_c10)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f165,plain,
( spl3_18
| spl3_19 ),
inference(avatar_split_clause,[],[f51,f163,f159]) ).
fof(f157,plain,
( spl3_12
| spl3_11 ),
inference(avatar_split_clause,[],[f38,f106,f115]) ).
fof(f38,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c4 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f156,plain,
( spl3_2
| spl3_9 ),
inference(avatar_split_clause,[],[f12,f96,f60]) ).
fof(f12,axiom,
( sk_c10 = multiply(sk_c7,sk_c8)
| sk_c10 = multiply(sk_c9,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f155,plain,
( spl3_15
| spl3_5 ),
inference(avatar_split_clause,[],[f29,f74,f137]) ).
fof(f29,axiom,
( sk_c2 = multiply(sk_c1,sk_c10)
| sk_c9 = multiply(sk_c10,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f154,plain,
( spl3_12
| spl3_5 ),
inference(avatar_split_clause,[],[f30,f74,f115]) ).
fof(f30,axiom,
( sk_c2 = multiply(sk_c1,sk_c10)
| sk_c4 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f153,plain,
( spl3_16
| spl3_17 ),
inference(avatar_split_clause,[],[f53,f150,f147]) ).
fof(f145,plain,
( spl3_12
| spl3_7 ),
inference(avatar_split_clause,[],[f22,f86,f115]) ).
fof(f22,axiom,
( sk_c9 = multiply(sk_c10,sk_c2)
| sk_c4 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f144,plain,
( spl3_1
| spl3_11 ),
inference(avatar_split_clause,[],[f43,f106,f56]) ).
fof(f43,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f143,plain,
( spl3_7
| spl3_10 ),
inference(avatar_split_clause,[],[f23,f101,f86]) ).
fof(f23,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c9 = multiply(sk_c10,sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f142,plain,
( spl3_7
| spl3_15 ),
inference(avatar_split_clause,[],[f21,f137,f86]) ).
fof(f21,axiom,
( sk_c9 = multiply(sk_c10,sk_c4)
| sk_c9 = multiply(sk_c10,sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f141,plain,
( spl3_2
| spl3_15 ),
inference(avatar_split_clause,[],[f5,f137,f60]) ).
fof(f5,axiom,
( sk_c9 = multiply(sk_c10,sk_c4)
| sk_c10 = multiply(sk_c9,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f140,plain,
( spl3_11
| spl3_15 ),
inference(avatar_split_clause,[],[f37,f137,f106]) ).
fof(f37,axiom,
( sk_c9 = multiply(sk_c10,sk_c4)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f133,plain,
( spl3_11
| spl3_9 ),
inference(avatar_split_clause,[],[f44,f96,f106]) ).
fof(f44,axiom,
( sk_c10 = multiply(sk_c7,sk_c8)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f132,plain,
( spl3_13
| spl3_14 ),
inference(avatar_split_clause,[],[f49,f130,f126]) ).
fof(f123,plain,
( spl3_5
| spl3_1 ),
inference(avatar_split_clause,[],[f35,f56,f74]) ).
fof(f35,axiom,
( sk_c10 = inverse(sk_c7)
| sk_c2 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f120,plain,
( spl3_5
| spl3_10 ),
inference(avatar_split_clause,[],[f31,f101,f74]) ).
fof(f31,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c2 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f119,plain,
( spl3_10
| spl3_3 ),
inference(avatar_split_clause,[],[f15,f65,f101]) ).
fof(f15,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f118,plain,
( spl3_12
| spl3_2 ),
inference(avatar_split_clause,[],[f6,f60,f115]) ).
fof(f6,axiom,
( sk_c10 = multiply(sk_c9,sk_c8)
| sk_c4 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f109,plain,
( spl3_10
| spl3_11 ),
inference(avatar_split_clause,[],[f39,f106,f101]) ).
fof(f39,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f104,plain,
( spl3_10
| spl3_2 ),
inference(avatar_split_clause,[],[f7,f60,f101]) ).
fof(f7,axiom,
( sk_c10 = multiply(sk_c9,sk_c8)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f68,plain,
( spl3_3
| spl3_1 ),
inference(avatar_split_clause,[],[f19,f56,f65]) ).
fof(f19,axiom,
( sk_c10 = inverse(sk_c7)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP385-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13 % 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 : n012.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 22:26:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.44/0.54 % (30809)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)
% 1.44/0.54 % (30801)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.44/0.55 % (30791)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)
% 1.44/0.55 % (30790)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.44/0.55 % (30793)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.44/0.55 % (30789)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)
% 1.44/0.55 % (30795)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)
% 1.44/0.55 % (30799)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.44/0.55 % (30798)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.44/0.56 % (30804)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.65/0.56 % (30807)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.65/0.56 % (30793)Instruction limit reached!
% 1.65/0.56 % (30793)------------------------------
% 1.65/0.56 % (30793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.56 % (30793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.56 % (30793)Termination reason: Unknown
% 1.65/0.56 % (30793)Termination phase: Saturation
% 1.65/0.56
% 1.65/0.56 % (30793)Memory used [KB]: 5500
% 1.65/0.56 % (30793)Time elapsed: 0.087 s
% 1.65/0.56 % (30793)Instructions burned: 7 (million)
% 1.65/0.56 % (30793)------------------------------
% 1.65/0.56 % (30793)------------------------------
% 1.65/0.56 % (30812)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.65/0.56 % (30794)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.65/0.56 % (30815)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.65/0.56 % (30794)Instruction limit reached!
% 1.65/0.56 % (30794)------------------------------
% 1.65/0.56 % (30794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.56 % (30794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.56 % (30794)Termination reason: Unknown
% 1.65/0.56 % (30794)Termination phase: Saturation
% 1.65/0.56
% 1.65/0.56 % (30794)Memory used [KB]: 5500
% 1.65/0.56 % (30794)Time elapsed: 0.003 s
% 1.65/0.56 % (30794)Instructions burned: 3 (million)
% 1.65/0.56 % (30794)------------------------------
% 1.65/0.56 % (30794)------------------------------
% 1.65/0.57 % (30792)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)
% 1.65/0.57 % (30808)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.65/0.57 % (30797)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)
% 1.65/0.57 % (30796)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.65/0.57 % (30810)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.65/0.57 % (30787)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)
% 1.65/0.57 % (30786)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)
% 1.65/0.58 % (30788)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)
% 1.65/0.58 % (30800)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.65/0.58 TRYING [1]
% 1.65/0.58 % (30802)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.65/0.58 TRYING [2]
% 1.65/0.58 % (30813)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.65/0.59 TRYING [3]
% 1.65/0.59 TRYING [1]
% 1.65/0.59 TRYING [2]
% 1.65/0.59 % (30814)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.65/0.59 % (30811)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.65/0.59 TRYING [3]
% 1.65/0.60 % (30806)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.65/0.60 % (30805)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.65/0.60 % (30791)First to succeed.
% 1.65/0.61 % (30803)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.65/0.61 TRYING [1]
% 1.65/0.61 TRYING [4]
% 1.65/0.61 TRYING [2]
% 1.65/0.61 TRYING [3]
% 1.65/0.62 TRYING [4]
% 1.65/0.62 % (30792)Instruction limit reached!
% 1.65/0.62 % (30792)------------------------------
% 1.65/0.62 % (30792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.62 % (30792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.62 % (30792)Termination reason: Unknown
% 1.65/0.62 % (30792)Termination phase: Finite model building SAT solving
% 1.65/0.62
% 1.65/0.62 % (30792)Memory used [KB]: 7036
% 1.65/0.62 % (30792)Time elapsed: 0.208 s
% 1.65/0.62 % (30792)Instructions burned: 54 (million)
% 1.65/0.62 % (30792)------------------------------
% 1.65/0.62 % (30792)------------------------------
% 1.65/0.63 % (30790)Instruction limit reached!
% 1.65/0.63 % (30790)------------------------------
% 1.65/0.63 % (30790)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.63 % (30796)Also succeeded, but the first one will report.
% 1.65/0.63 % (30790)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.63 % (30791)Refutation found. Thanks to Tanya!
% 1.65/0.63 % SZS status Unsatisfiable for theBenchmark
% 1.65/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.65/0.63 % (30791)------------------------------
% 1.65/0.63 % (30791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.63 % (30791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.63 % (30791)Termination reason: Refutation
% 1.65/0.63
% 1.65/0.63 % (30791)Memory used [KB]: 5884
% 1.65/0.63 % (30791)Time elapsed: 0.187 s
% 1.65/0.63 % (30791)Instructions burned: 31 (million)
% 1.65/0.63 % (30791)------------------------------
% 1.65/0.63 % (30791)------------------------------
% 1.65/0.63 % (30785)Success in time 0.278 s
%------------------------------------------------------------------------------