TSTP Solution File: GRP300-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP300-1 : 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_uns --cores 0 -t %d %s
% Computer : n017.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 16:15:15 EDT 2022
% Result : Unsatisfiable 1.55s 0.56s
% Output : Refutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 45
% Syntax : Number of formulae : 235 ( 23 unt; 0 def)
% Number of atoms : 800 ( 263 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1091 ( 526 ~; 551 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 15 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 17 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f567,plain,
$false,
inference(avatar_sat_refutation,[],[f72,f77,f86,f91,f96,f107,f109,f114,f116,f122,f123,f125,f126,f129,f130,f131,f132,f133,f214,f237,f264,f275,f291,f292,f321,f341,f384,f452,f481,f494,f544,f566]) ).
fof(f566,plain,
( ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_7
| ~ spl10_10 ),
inference(avatar_contradiction_clause,[],[f565]) ).
fof(f565,plain,
( $false
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_7
| ~ spl10_10 ),
inference(subsumption_resolution,[],[f564,f496]) ).
fof(f496,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_7 ),
inference(backward_demodulation,[],[f44,f495]) ).
fof(f495,plain,
( sk_c6 = sF8
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_7 ),
inference(forward_demodulation,[],[f95,f458]) ).
fof(f458,plain,
( sk_c6 = sk_c4
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6 ),
inference(backward_demodulation,[],[f397,f457]) ).
fof(f457,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl10_1
| ~ spl10_4 ),
inference(forward_demodulation,[],[f308,f67]) ).
fof(f67,plain,
( sk_c5 = sF3
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl10_1
<=> sk_c5 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f308,plain,
( sk_c6 = multiply(sk_c6,sF3)
| ~ spl10_4 ),
inference(backward_demodulation,[],[f183,f81]) ).
fof(f81,plain,
( sk_c6 = sF1
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f79,plain,
( spl10_4
<=> sk_c6 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).
fof(f183,plain,
sk_c6 = multiply(sF1,sF3),
inference(forward_demodulation,[],[f173,f30]) ).
fof(f30,plain,
inverse(sk_c1) = sF1,
introduced(function_definition,[]) ).
fof(f173,plain,
sk_c6 = multiply(inverse(sk_c1),sF3),
inference(superposition,[],[f155,f33]) ).
fof(f33,plain,
multiply(sk_c1,sk_c6) = sF3,
introduced(function_definition,[]) ).
fof(f155,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3,
inference(forward_demodulation,[],[f147,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f147,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = multiply(identity,X3),
inference(superposition,[],[f3,f2]) ).
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(f397,plain,
( multiply(sk_c6,sk_c5) = sk_c4
| ~ spl10_6 ),
inference(forward_demodulation,[],[f39,f90]) ).
fof(f90,plain,
( sk_c4 = sF6
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl10_6
<=> sk_c4 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).
fof(f39,plain,
multiply(sk_c6,sk_c5) = sF6,
introduced(function_definition,[]) ).
fof(f95,plain,
( sk_c4 = sF8
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl10_7
<=> sk_c4 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).
fof(f44,plain,
inverse(sk_c6) = sF8,
introduced(function_definition,[]) ).
fof(f564,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_7
| ~ spl10_10 ),
inference(forward_demodulation,[],[f559,f496]) ).
fof(f559,plain,
( sk_c6 != inverse(inverse(sk_c6))
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_10 ),
inference(trivial_inequality_removal,[],[f556]) ).
fof(f556,plain,
( identity != identity
| sk_c6 != inverse(inverse(sk_c6))
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_10 ),
inference(superposition,[],[f545,f2]) ).
fof(f545,plain,
( ! [X4] :
( identity != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) )
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_10 ),
inference(forward_demodulation,[],[f106,f468]) ).
fof(f468,plain,
( identity = sk_c5
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6 ),
inference(forward_demodulation,[],[f465,f363]) ).
fof(f363,plain,
identity = multiply(sF8,sk_c6),
inference(superposition,[],[f2,f44]) ).
fof(f465,plain,
( sk_c5 = multiply(sF8,sk_c6)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6 ),
inference(backward_demodulation,[],[f388,f458]) ).
fof(f388,plain,
( sk_c5 = multiply(sF8,sk_c4)
| ~ spl10_6 ),
inference(forward_demodulation,[],[f387,f44]) ).
fof(f387,plain,
( sk_c5 = multiply(inverse(sk_c6),sk_c4)
| ~ spl10_6 ),
inference(forward_demodulation,[],[f175,f90]) ).
fof(f175,plain,
sk_c5 = multiply(inverse(sk_c6),sF6),
inference(superposition,[],[f155,f39]) ).
fof(f106,plain,
( ! [X4] :
( sk_c5 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) )
| ~ spl10_10 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl10_10
<=> ! [X4] :
( sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).
fof(f544,plain,
( ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_7
| ~ spl10_8 ),
inference(avatar_contradiction_clause,[],[f543]) ).
fof(f543,plain,
( $false
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_7
| ~ spl10_8 ),
inference(subsumption_resolution,[],[f542,f496]) ).
fof(f542,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_7
| ~ spl10_8 ),
inference(forward_demodulation,[],[f538,f496]) ).
fof(f538,plain,
( sk_c6 != inverse(inverse(sk_c6))
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8 ),
inference(trivial_inequality_removal,[],[f534]) ).
fof(f534,plain,
( sk_c6 != inverse(inverse(sk_c6))
| identity != identity
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8 ),
inference(superposition,[],[f512,f2]) ).
fof(f512,plain,
( ! [X5] :
( identity != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) )
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8 ),
inference(forward_demodulation,[],[f511,f468]) ).
fof(f511,plain,
( ! [X5] :
( sk_c6 != inverse(X5)
| sk_c5 != multiply(X5,sk_c6) )
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8 ),
inference(forward_demodulation,[],[f510,f458]) ).
fof(f510,plain,
( ! [X5] :
( sk_c5 != multiply(X5,sk_c4)
| sk_c6 != inverse(X5) )
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8 ),
inference(forward_demodulation,[],[f99,f458]) ).
fof(f99,plain,
( ! [X5] :
( sk_c4 != inverse(X5)
| sk_c5 != multiply(X5,sk_c4) )
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl10_8
<=> ! [X5] :
( sk_c4 != inverse(X5)
| sk_c5 != multiply(X5,sk_c4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).
fof(f494,plain,
( spl10_5
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6 ),
inference(avatar_split_clause,[],[f493,f88,f79,f65,f83]) ).
fof(f83,plain,
( spl10_5
<=> sk_c6 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).
fof(f493,plain,
( sk_c6 = sF9
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6 ),
inference(forward_demodulation,[],[f492,f1]) ).
fof(f492,plain,
( sF9 = multiply(identity,sk_c6)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6 ),
inference(forward_demodulation,[],[f491,f468]) ).
fof(f491,plain,
( sF9 = multiply(sk_c5,sk_c6)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6 ),
inference(forward_demodulation,[],[f47,f458]) ).
fof(f47,plain,
multiply(sk_c5,sk_c4) = sF9,
introduced(function_definition,[]) ).
fof(f481,plain,
( spl10_14
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6 ),
inference(avatar_split_clause,[],[f469,f88,f79,f65,f261]) ).
fof(f261,plain,
( spl10_14
<=> identity = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_14])]) ).
fof(f469,plain,
( identity = sF3
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6 ),
inference(backward_demodulation,[],[f67,f468]) ).
fof(f452,plain,
( ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| spl10_7
| ~ spl10_9
| ~ spl10_13
| ~ spl10_14 ),
inference(avatar_contradiction_clause,[],[f451]) ).
fof(f451,plain,
( $false
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| spl10_7
| ~ spl10_9
| ~ spl10_13
| ~ spl10_14 ),
inference(subsumption_resolution,[],[f450,f412]) ).
fof(f412,plain,
( sk_c6 != sF8
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| spl10_7
| ~ spl10_14 ),
inference(forward_demodulation,[],[f94,f399]) ).
fof(f399,plain,
( sk_c6 = sk_c4
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_14 ),
inference(forward_demodulation,[],[f398,f340]) ).
fof(f340,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl10_4
| ~ spl10_14 ),
inference(backward_demodulation,[],[f308,f262]) ).
fof(f262,plain,
( identity = sF3
| ~ spl10_14 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f398,plain,
( sk_c4 = multiply(sk_c6,identity)
| ~ spl10_1
| ~ spl10_6
| ~ spl10_14 ),
inference(forward_demodulation,[],[f397,f386]) ).
fof(f386,plain,
( identity = sk_c5
| ~ spl10_1
| ~ spl10_14 ),
inference(forward_demodulation,[],[f67,f262]) ).
fof(f94,plain,
( sk_c4 != sF8
| spl10_7 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f450,plain,
( sk_c6 = sF8
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9
| ~ spl10_13
| ~ spl10_14 ),
inference(backward_demodulation,[],[f44,f447]) ).
fof(f447,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9
| ~ spl10_13
| ~ spl10_14 ),
inference(backward_demodulation,[],[f258,f444]) ).
fof(f444,plain,
( sk_c6 = sk_c1
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9
| ~ spl10_14 ),
inference(backward_demodulation,[],[f313,f443]) ).
fof(f443,plain,
( sk_c6 = multiply(sF8,identity)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9
| ~ spl10_14 ),
inference(forward_demodulation,[],[f441,f44]) ).
fof(f441,plain,
( sk_c6 = multiply(inverse(sk_c6),identity)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9
| ~ spl10_14 ),
inference(superposition,[],[f155,f416]) ).
fof(f416,plain,
( identity = multiply(sk_c6,sk_c6)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9
| ~ spl10_14 ),
inference(backward_demodulation,[],[f404,f415]) ).
fof(f415,plain,
( identity = sF4
| ~ spl10_1
| ~ spl10_9
| ~ spl10_14 ),
inference(forward_demodulation,[],[f102,f386]) ).
fof(f102,plain,
( sk_c5 = sF4
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl10_9
<=> sk_c5 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).
fof(f404,plain,
( multiply(sk_c6,sk_c6) = sF4
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_14 ),
inference(backward_demodulation,[],[f35,f399]) ).
fof(f35,plain,
multiply(sk_c4,sk_c6) = sF4,
introduced(function_definition,[]) ).
fof(f313,plain,
( sk_c1 = multiply(sF8,identity)
| ~ spl10_4 ),
inference(forward_demodulation,[],[f309,f44]) ).
fof(f309,plain,
( sk_c1 = multiply(inverse(sk_c6),identity)
| ~ spl10_4 ),
inference(backward_demodulation,[],[f180,f81]) ).
fof(f180,plain,
sk_c1 = multiply(inverse(sF1),identity),
inference(superposition,[],[f155,f144]) ).
fof(f144,plain,
identity = multiply(sF1,sk_c1),
inference(superposition,[],[f2,f30]) ).
fof(f258,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl10_13 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f257,plain,
( spl10_13
<=> sk_c6 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).
fof(f384,plain,
( ~ spl10_3
| ~ spl10_6
| spl10_7
| ~ spl10_9
| ~ spl10_11 ),
inference(avatar_contradiction_clause,[],[f383]) ).
fof(f383,plain,
( $false
| ~ spl10_3
| ~ spl10_6
| spl10_7
| ~ spl10_9
| ~ spl10_11 ),
inference(subsumption_resolution,[],[f382,f294]) ).
fof(f294,plain,
( sk_c6 != sF8
| ~ spl10_3
| ~ spl10_6
| spl10_7
| ~ spl10_11 ),
inference(forward_demodulation,[],[f94,f222]) ).
fof(f222,plain,
( sk_c6 = sk_c4
| ~ spl10_3
| ~ spl10_6
| ~ spl10_11 ),
inference(forward_demodulation,[],[f90,f187]) ).
fof(f187,plain,
( sk_c6 = sF6
| ~ spl10_3
| ~ spl10_11 ),
inference(backward_demodulation,[],[f39,f186]) ).
fof(f186,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl10_3
| ~ spl10_11 ),
inference(forward_demodulation,[],[f172,f137]) ).
fof(f137,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl10_11 ),
inference(backward_demodulation,[],[f37,f113]) ).
fof(f113,plain,
( sk_c6 = sF5
| ~ spl10_11 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl10_11
<=> sk_c6 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_11])]) ).
fof(f37,plain,
inverse(sk_c2) = sF5,
introduced(function_definition,[]) ).
fof(f172,plain,
( sk_c6 = multiply(inverse(sk_c2),sk_c5)
| ~ spl10_3 ),
inference(superposition,[],[f155,f140]) ).
fof(f140,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| ~ spl10_3 ),
inference(backward_demodulation,[],[f40,f76]) ).
fof(f76,plain,
( sk_c5 = sF7
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f74,plain,
( spl10_3
<=> sk_c5 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).
fof(f40,plain,
multiply(sk_c2,sk_c6) = sF7,
introduced(function_definition,[]) ).
fof(f382,plain,
( sk_c6 = sF8
| ~ spl10_3
| ~ spl10_6
| ~ spl10_9
| ~ spl10_11 ),
inference(backward_demodulation,[],[f44,f376]) ).
fof(f376,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl10_3
| ~ spl10_6
| ~ spl10_9
| ~ spl10_11 ),
inference(backward_demodulation,[],[f137,f375]) ).
fof(f375,plain,
( sk_c6 = sk_c2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_9
| ~ spl10_11 ),
inference(backward_demodulation,[],[f324,f374]) ).
fof(f374,plain,
( sk_c6 = multiply(sF8,identity)
| ~ spl10_3
| ~ spl10_6
| ~ spl10_9
| ~ spl10_11 ),
inference(forward_demodulation,[],[f372,f44]) ).
fof(f372,plain,
( sk_c6 = multiply(inverse(sk_c6),identity)
| ~ spl10_3
| ~ spl10_6
| ~ spl10_9
| ~ spl10_11 ),
inference(superposition,[],[f155,f333]) ).
fof(f333,plain,
( identity = multiply(sk_c6,sk_c6)
| ~ spl10_3
| ~ spl10_6
| ~ spl10_9
| ~ spl10_11 ),
inference(forward_demodulation,[],[f332,f222]) ).
fof(f332,plain,
( identity = multiply(sk_c4,sk_c6)
| ~ spl10_3
| ~ spl10_9
| ~ spl10_11 ),
inference(forward_demodulation,[],[f35,f306]) ).
fof(f306,plain,
( identity = sF4
| ~ spl10_3
| ~ spl10_9
| ~ spl10_11 ),
inference(forward_demodulation,[],[f102,f197]) ).
fof(f197,plain,
( identity = sk_c5
| ~ spl10_3
| ~ spl10_11 ),
inference(forward_demodulation,[],[f196,f2]) ).
fof(f196,plain,
( sk_c5 = multiply(inverse(sk_c6),sk_c6)
| ~ spl10_3
| ~ spl10_11 ),
inference(forward_demodulation,[],[f175,f187]) ).
fof(f324,plain,
( sk_c2 = multiply(sF8,identity)
| ~ spl10_11 ),
inference(forward_demodulation,[],[f178,f44]) ).
fof(f178,plain,
( sk_c2 = multiply(inverse(sk_c6),identity)
| ~ spl10_11 ),
inference(superposition,[],[f155,f142]) ).
fof(f142,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl10_11 ),
inference(superposition,[],[f2,f137]) ).
fof(f341,plain,
( spl10_13
| ~ spl10_4 ),
inference(avatar_split_clause,[],[f312,f79,f257]) ).
fof(f312,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl10_4 ),
inference(backward_demodulation,[],[f30,f81]) ).
fof(f321,plain,
( ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_11
| ~ spl10_12
| spl10_14 ),
inference(avatar_contradiction_clause,[],[f320]) ).
fof(f320,plain,
( $false
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_11
| ~ spl10_12
| spl10_14 ),
inference(subsumption_resolution,[],[f319,f263]) ).
fof(f263,plain,
( identity != sF3
| spl10_14 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f319,plain,
( identity = sF3
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_11
| ~ spl10_12 ),
inference(forward_demodulation,[],[f317,f304]) ).
fof(f304,plain,
( identity = multiply(sk_c3,sk_c6)
| ~ spl10_3
| ~ spl10_6
| ~ spl10_11
| ~ spl10_12 ),
inference(forward_demodulation,[],[f303,f197]) ).
fof(f303,plain,
( sk_c5 = multiply(sk_c3,sk_c6)
| ~ spl10_3
| ~ spl10_6
| ~ spl10_11
| ~ spl10_12 ),
inference(forward_demodulation,[],[f136,f222]) ).
fof(f136,plain,
( sk_c5 = multiply(sk_c3,sk_c4)
| ~ spl10_12 ),
inference(backward_demodulation,[],[f32,f120]) ).
fof(f120,plain,
( sk_c5 = sF2
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl10_12
<=> sk_c5 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).
fof(f32,plain,
multiply(sk_c3,sk_c4) = sF2,
introduced(function_definition,[]) ).
fof(f317,plain,
( sF3 = multiply(sk_c3,sk_c6)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_11 ),
inference(backward_demodulation,[],[f33,f314]) ).
fof(f314,plain,
( sk_c3 = sk_c1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_11 ),
inference(forward_demodulation,[],[f313,f299]) ).
fof(f299,plain,
( sk_c3 = multiply(sF8,identity)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_11 ),
inference(backward_demodulation,[],[f293,f44]) ).
fof(f293,plain,
( sk_c3 = multiply(inverse(sk_c6),identity)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_11 ),
inference(forward_demodulation,[],[f179,f222]) ).
fof(f179,plain,
( sk_c3 = multiply(inverse(sk_c4),identity)
| ~ spl10_2 ),
inference(superposition,[],[f155,f143]) ).
fof(f143,plain,
( identity = multiply(sk_c4,sk_c3)
| ~ spl10_2 ),
inference(superposition,[],[f2,f138]) ).
fof(f138,plain,
( sk_c4 = inverse(sk_c3)
| ~ spl10_2 ),
inference(backward_demodulation,[],[f29,f71]) ).
fof(f71,plain,
( sk_c4 = sF0
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl10_2
<=> sk_c4 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f29,plain,
inverse(sk_c3) = sF0,
introduced(function_definition,[]) ).
fof(f292,plain,
( ~ spl10_14
| ~ spl10_13
| ~ spl10_3
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11 ),
inference(avatar_split_clause,[],[f279,f111,f98,f88,f74,f257,f261]) ).
fof(f279,plain,
( sk_c6 != inverse(sk_c1)
| identity != sF3
| ~ spl10_3
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11 ),
inference(superposition,[],[f278,f33]) ).
fof(f278,plain,
( ! [X5] :
( identity != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) )
| ~ spl10_3
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11 ),
inference(forward_demodulation,[],[f277,f197]) ).
fof(f277,plain,
( ! [X5] :
( sk_c6 != inverse(X5)
| sk_c5 != multiply(X5,sk_c6) )
| ~ spl10_3
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11 ),
inference(forward_demodulation,[],[f276,f222]) ).
fof(f276,plain,
( ! [X5] :
( sk_c6 != inverse(X5)
| sk_c5 != multiply(X5,sk_c4) )
| ~ spl10_3
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11 ),
inference(forward_demodulation,[],[f99,f222]) ).
fof(f291,plain,
( ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7
| ~ spl10_8
| ~ spl10_11
| ~ spl10_12 ),
inference(avatar_contradiction_clause,[],[f290]) ).
fof(f290,plain,
( $false
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7
| ~ spl10_8
| ~ spl10_11
| ~ spl10_12 ),
inference(subsumption_resolution,[],[f289,f234]) ).
fof(f234,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7
| ~ spl10_11
| ~ spl10_12 ),
inference(backward_demodulation,[],[f220,f222]) ).
fof(f220,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_7
| ~ spl10_11
| ~ spl10_12 ),
inference(backward_demodulation,[],[f137,f215]) ).
fof(f215,plain,
( sk_c4 = sk_c2
| ~ spl10_2
| ~ spl10_3
| ~ spl10_7
| ~ spl10_11
| ~ spl10_12 ),
inference(backward_demodulation,[],[f185,f205]) ).
fof(f205,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_11
| ~ spl10_12 ),
inference(backward_demodulation,[],[f184,f197]) ).
fof(f184,plain,
( sk_c4 = multiply(sk_c4,sk_c5)
| ~ spl10_2
| ~ spl10_12 ),
inference(forward_demodulation,[],[f177,f138]) ).
fof(f177,plain,
( sk_c4 = multiply(inverse(sk_c3),sk_c5)
| ~ spl10_12 ),
inference(superposition,[],[f155,f136]) ).
fof(f185,plain,
( sk_c2 = multiply(sk_c4,identity)
| ~ spl10_7
| ~ spl10_11 ),
inference(forward_demodulation,[],[f178,f139]) ).
fof(f139,plain,
( sk_c4 = inverse(sk_c6)
| ~ spl10_7 ),
inference(backward_demodulation,[],[f44,f95]) ).
fof(f289,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7
| ~ spl10_8
| ~ spl10_11
| ~ spl10_12 ),
inference(forward_demodulation,[],[f284,f234]) ).
fof(f284,plain,
( sk_c6 != inverse(inverse(sk_c6))
| ~ spl10_3
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11 ),
inference(trivial_inequality_removal,[],[f282]) ).
fof(f282,plain,
( sk_c6 != inverse(inverse(sk_c6))
| identity != identity
| ~ spl10_3
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11 ),
inference(superposition,[],[f278,f2]) ).
fof(f275,plain,
( ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7
| ~ spl10_10
| ~ spl10_11
| ~ spl10_12 ),
inference(avatar_contradiction_clause,[],[f274]) ).
fof(f274,plain,
( $false
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7
| ~ spl10_10
| ~ spl10_11
| ~ spl10_12 ),
inference(subsumption_resolution,[],[f251,f234]) ).
fof(f251,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7
| ~ spl10_10
| ~ spl10_11
| ~ spl10_12 ),
inference(trivial_inequality_removal,[],[f247]) ).
fof(f247,plain,
( identity != identity
| sk_c6 != inverse(sk_c6)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7
| ~ spl10_10
| ~ spl10_11
| ~ spl10_12 ),
inference(superposition,[],[f238,f231]) ).
fof(f231,plain,
( identity = multiply(sk_c6,sk_c6)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_7
| ~ spl10_11
| ~ spl10_12 ),
inference(backward_demodulation,[],[f209,f222]) ).
fof(f209,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_7
| ~ spl10_11
| ~ spl10_12 ),
inference(backward_demodulation,[],[f195,f197]) ).
fof(f195,plain,
( sk_c5 = multiply(sk_c6,sk_c4)
| ~ spl10_2
| ~ spl10_7
| ~ spl10_12 ),
inference(backward_demodulation,[],[f136,f190]) ).
fof(f190,plain,
( sk_c6 = sk_c3
| ~ spl10_2
| ~ spl10_7 ),
inference(backward_demodulation,[],[f179,f174]) ).
fof(f174,plain,
( sk_c6 = multiply(inverse(sk_c4),identity)
| ~ spl10_7 ),
inference(superposition,[],[f155,f141]) ).
fof(f141,plain,
( identity = multiply(sk_c4,sk_c6)
| ~ spl10_7 ),
inference(superposition,[],[f2,f139]) ).
fof(f238,plain,
( ! [X4] :
( identity != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) )
| ~ spl10_3
| ~ spl10_10
| ~ spl10_11 ),
inference(forward_demodulation,[],[f106,f197]) ).
fof(f264,plain,
( ~ spl10_13
| ~ spl10_14
| ~ spl10_3
| ~ spl10_10
| ~ spl10_11 ),
inference(avatar_split_clause,[],[f246,f111,f105,f74,f261,f257]) ).
fof(f246,plain,
( identity != sF3
| sk_c6 != inverse(sk_c1)
| ~ spl10_3
| ~ spl10_10
| ~ spl10_11 ),
inference(superposition,[],[f238,f33]) ).
fof(f237,plain,
( ~ spl10_3
| ~ spl10_7
| spl10_9
| ~ spl10_11 ),
inference(avatar_contradiction_clause,[],[f236]) ).
fof(f236,plain,
( $false
| ~ spl10_3
| ~ spl10_7
| spl10_9
| ~ spl10_11 ),
inference(subsumption_resolution,[],[f235,f197]) ).
fof(f235,plain,
( identity != sk_c5
| ~ spl10_7
| spl10_9 ),
inference(forward_demodulation,[],[f103,f145]) ).
fof(f145,plain,
( identity = sF4
| ~ spl10_7 ),
inference(backward_demodulation,[],[f35,f141]) ).
fof(f103,plain,
( sk_c5 != sF4
| spl10_9 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f214,plain,
( ~ spl10_3
| ~ spl10_5
| spl10_6
| ~ spl10_11 ),
inference(avatar_contradiction_clause,[],[f213]) ).
fof(f213,plain,
( $false
| ~ spl10_3
| ~ spl10_5
| spl10_6
| ~ spl10_11 ),
inference(subsumption_resolution,[],[f212,f189]) ).
fof(f189,plain,
( sk_c6 != sk_c4
| ~ spl10_3
| spl10_6
| ~ spl10_11 ),
inference(backward_demodulation,[],[f89,f187]) ).
fof(f89,plain,
( sk_c4 != sF6
| spl10_6 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f212,plain,
( sk_c6 = sk_c4
| ~ spl10_3
| ~ spl10_5
| ~ spl10_11 ),
inference(forward_demodulation,[],[f204,f168]) ).
fof(f168,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f155,f1]) ).
fof(f204,plain,
( sk_c4 = multiply(inverse(identity),sk_c6)
| ~ spl10_3
| ~ spl10_5
| ~ spl10_11 ),
inference(backward_demodulation,[],[f176,f197]) ).
fof(f176,plain,
( sk_c4 = multiply(inverse(sk_c5),sk_c6)
| ~ spl10_5 ),
inference(superposition,[],[f155,f135]) ).
fof(f135,plain,
( sk_c6 = multiply(sk_c5,sk_c4)
| ~ spl10_5 ),
inference(backward_demodulation,[],[f47,f85]) ).
fof(f85,plain,
( sk_c6 = sF9
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f133,plain,
( spl10_7
| spl10_9 ),
inference(avatar_split_clause,[],[f45,f101,f93]) ).
fof(f45,plain,
( sk_c5 = sF4
| sk_c4 = sF8 ),
inference(definition_folding,[],[f25,f35,f44]) ).
fof(f25,axiom,
( sk_c4 = inverse(sk_c6)
| sk_c5 = multiply(sk_c4,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f132,plain,
( spl10_6
| spl10_11 ),
inference(avatar_split_clause,[],[f55,f111,f88]) ).
fof(f55,plain,
( sk_c6 = sF5
| sk_c4 = sF6 ),
inference(definition_folding,[],[f6,f37,f39]) ).
fof(f6,axiom,
( multiply(sk_c6,sk_c5) = sk_c4
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f131,plain,
( spl10_4
| spl10_2 ),
inference(avatar_split_clause,[],[f31,f69,f79]) ).
fof(f31,plain,
( sk_c4 = sF0
| sk_c6 = sF1 ),
inference(definition_folding,[],[f21,f30,f29]) ).
fof(f21,axiom,
( sk_c4 = inverse(sk_c3)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f130,plain,
( spl10_4
| spl10_12 ),
inference(avatar_split_clause,[],[f60,f118,f79]) ).
fof(f60,plain,
( sk_c5 = sF2
| sk_c6 = sF1 ),
inference(definition_folding,[],[f20,f30,f32]) ).
fof(f20,axiom,
( sk_c5 = multiply(sk_c3,sk_c4)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f129,plain,
( spl10_4
| spl10_11 ),
inference(avatar_split_clause,[],[f46,f111,f79]) ).
fof(f46,plain,
( sk_c6 = sF5
| sk_c6 = sF1 ),
inference(definition_folding,[],[f18,f37,f30]) ).
fof(f18,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f126,plain,
( spl10_9
| spl10_11 ),
inference(avatar_split_clause,[],[f42,f111,f101]) ).
fof(f42,plain,
( sk_c6 = sF5
| sk_c5 = sF4 ),
inference(definition_folding,[],[f24,f37,f35]) ).
fof(f24,axiom,
( sk_c5 = multiply(sk_c4,sk_c6)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f125,plain,
( spl10_4
| spl10_3 ),
inference(avatar_split_clause,[],[f62,f74,f79]) ).
fof(f62,plain,
( sk_c5 = sF7
| sk_c6 = sF1 ),
inference(definition_folding,[],[f17,f40,f30]) ).
fof(f17,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f123,plain,
( spl10_3
| spl10_9 ),
inference(avatar_split_clause,[],[f43,f101,f74]) ).
fof(f43,plain,
( sk_c5 = sF4
| sk_c5 = sF7 ),
inference(definition_folding,[],[f23,f40,f35]) ).
fof(f23,axiom,
( sk_c5 = multiply(sk_c4,sk_c6)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f122,plain,
( spl10_1
| spl10_12 ),
inference(avatar_split_clause,[],[f34,f118,f65]) ).
fof(f34,plain,
( sk_c5 = sF2
| sk_c5 = sF3 ),
inference(definition_folding,[],[f14,f33,f32]) ).
fof(f14,axiom,
( sk_c5 = multiply(sk_c3,sk_c4)
| sk_c5 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f116,plain,
( spl10_3
| spl10_6 ),
inference(avatar_split_clause,[],[f41,f88,f74]) ).
fof(f41,plain,
( sk_c4 = sF6
| sk_c5 = sF7 ),
inference(definition_folding,[],[f5,f40,f39]) ).
fof(f5,axiom,
( multiply(sk_c6,sk_c5) = sk_c4
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f114,plain,
( spl10_1
| spl10_11 ),
inference(avatar_split_clause,[],[f38,f111,f65]) ).
fof(f38,plain,
( sk_c6 = sF5
| sk_c5 = sF3 ),
inference(definition_folding,[],[f12,f37,f33]) ).
fof(f12,axiom,
( sk_c5 = multiply(sk_c1,sk_c6)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f109,plain,
( spl10_1
| spl10_5 ),
inference(avatar_split_clause,[],[f48,f83,f65]) ).
fof(f48,plain,
( sk_c6 = sF9
| sk_c5 = sF3 ),
inference(definition_folding,[],[f10,f47,f33]) ).
fof(f10,axiom,
( sk_c5 = multiply(sk_c1,sk_c6)
| sk_c6 = multiply(sk_c5,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f107,plain,
( ~ spl10_5
| ~ spl10_7
| spl10_8
| ~ spl10_9
| ~ spl10_6
| spl10_10
| spl10_10 ),
inference(avatar_split_clause,[],[f63,f105,f105,f88,f101,f98,f93,f83]) ).
fof(f63,plain,
! [X3,X4,X5] :
( sk_c6 != inverse(X3)
| sk_c5 != multiply(X3,sk_c6)
| sk_c6 != inverse(X4)
| sk_c4 != sF6
| sk_c5 != sF4
| sk_c4 != inverse(X5)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(X4,sk_c6)
| sk_c4 != sF8
| sk_c6 != sF9 ),
inference(definition_folding,[],[f28,f39,f44,f35,f47]) ).
fof(f28,axiom,
! [X3,X4,X5] :
( sk_c5 != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != multiply(sk_c4,sk_c6)
| sk_c5 != multiply(X4,sk_c6)
| sk_c4 != inverse(sk_c6)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| multiply(sk_c6,sk_c5) != sk_c4
| sk_c4 != inverse(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f96,plain,
( spl10_4
| spl10_7 ),
inference(avatar_split_clause,[],[f49,f93,f79]) ).
fof(f49,plain,
( sk_c4 = sF8
| sk_c6 = sF1 ),
inference(definition_folding,[],[f19,f44,f30]) ).
fof(f19,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c4 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f91,plain,
( spl10_5
| spl10_6 ),
inference(avatar_split_clause,[],[f52,f88,f83]) ).
fof(f52,plain,
( sk_c4 = sF6
| sk_c6 = sF9 ),
inference(definition_folding,[],[f4,f39,f47]) ).
fof(f4,axiom,
( sk_c6 = multiply(sk_c5,sk_c4)
| multiply(sk_c6,sk_c5) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f86,plain,
( spl10_4
| spl10_5 ),
inference(avatar_split_clause,[],[f51,f83,f79]) ).
fof(f51,plain,
( sk_c6 = sF9
| sk_c6 = sF1 ),
inference(definition_folding,[],[f16,f47,f30]) ).
fof(f16,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f77,plain,
( spl10_1
| spl10_3 ),
inference(avatar_split_clause,[],[f50,f74,f65]) ).
fof(f50,plain,
( sk_c5 = sF7
| sk_c5 = sF3 ),
inference(definition_folding,[],[f11,f33,f40]) ).
fof(f11,axiom,
( sk_c5 = multiply(sk_c2,sk_c6)
| sk_c5 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f72,plain,
( spl10_1
| spl10_2 ),
inference(avatar_split_clause,[],[f58,f69,f65]) ).
fof(f58,plain,
( sk_c4 = sF0
| sk_c5 = sF3 ),
inference(definition_folding,[],[f15,f33,f29]) ).
fof(f15,axiom,
( sk_c4 = inverse(sk_c3)
| sk_c5 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP300-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 21:50:05 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (4619)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.50 % (4619)Instruction limit reached!
% 0.21/0.50 % (4619)------------------------------
% 0.21/0.50 % (4619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (4612)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.21/0.50 % (4629)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.51 % (4637)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.21/0.51 % (4619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (4619)Termination reason: Unknown
% 0.21/0.51 % (4619)Termination phase: Saturation
% 0.21/0.51
% 0.21/0.51 % (4619)Memory used [KB]: 6012
% 0.21/0.51 % (4619)Time elapsed: 0.100 s
% 0.21/0.51 % (4619)Instructions burned: 7 (million)
% 0.21/0.51 % (4619)------------------------------
% 0.21/0.51 % (4619)------------------------------
% 0.21/0.51 % (4621)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.51 % (4610)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.21/0.51 % (4621)Instruction limit reached!
% 0.21/0.51 % (4621)------------------------------
% 0.21/0.51 % (4621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (4621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (4621)Termination reason: Unknown
% 0.21/0.51 % (4621)Termination phase: Saturation
% 0.21/0.51
% 0.21/0.51 % (4621)Memory used [KB]: 5884
% 0.21/0.51 % (4621)Time elapsed: 0.094 s
% 0.21/0.51 % (4621)Instructions burned: 5 (million)
% 0.21/0.51 % (4621)------------------------------
% 0.21/0.51 % (4621)------------------------------
% 0.21/0.51 % (4612)Refutation not found, incomplete strategy% (4612)------------------------------
% 0.21/0.51 % (4612)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (4612)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (4612)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51
% 0.21/0.51 % (4612)Memory used [KB]: 5884
% 0.21/0.51 % (4612)Time elapsed: 0.108 s
% 0.21/0.51 % (4612)Instructions burned: 3 (million)
% 0.21/0.51 % (4612)------------------------------
% 0.21/0.51 % (4612)------------------------------
% 0.21/0.52 % (4635)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.21/0.52 % (4618)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (4620)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.21/0.52 % (4615)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.52 % (4635)Refutation not found, incomplete strategy% (4635)------------------------------
% 0.21/0.52 % (4635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (4635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (4635)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52
% 0.21/0.52 % (4635)Memory used [KB]: 5884
% 0.21/0.52 % (4635)Time elapsed: 0.111 s
% 0.21/0.52 % (4635)Instructions burned: 3 (million)
% 0.21/0.52 % (4635)------------------------------
% 0.21/0.52 % (4635)------------------------------
% 1.28/0.52 % (4628)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.28/0.52 % (4637)Refutation not found, incomplete strategy% (4637)------------------------------
% 1.28/0.52 % (4637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.52 % (4637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.52 % (4637)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.52
% 1.28/0.52 % (4637)Memory used [KB]: 5884
% 1.28/0.52 % (4637)Time elapsed: 0.097 s
% 1.28/0.52 % (4637)Instructions burned: 3 (million)
% 1.28/0.52 % (4637)------------------------------
% 1.28/0.52 % (4637)------------------------------
% 1.28/0.52 % (4616)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.28/0.52 % (4623)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 1.28/0.52 % (4628)Refutation not found, incomplete strategy% (4628)------------------------------
% 1.28/0.52 % (4628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.52 % (4628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.52 % (4628)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.52
% 1.28/0.52 % (4628)Memory used [KB]: 6012
% 1.28/0.52 % (4628)Time elapsed: 0.124 s
% 1.28/0.52 % (4628)Instructions burned: 6 (million)
% 1.28/0.52 % (4628)------------------------------
% 1.28/0.52 % (4628)------------------------------
% 1.28/0.52 % (4617)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.28/0.52 % (4622)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.28/0.52 % (4622)Instruction limit reached!
% 1.28/0.52 % (4622)------------------------------
% 1.28/0.52 % (4622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.52 % (4622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.52 % (4622)Termination reason: Unknown
% 1.28/0.52 % (4617)Instruction limit reached!
% 1.28/0.52 % (4617)------------------------------
% 1.28/0.52 % (4617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.52 % (4622)Termination phase: Saturation
% 1.28/0.52
% 1.28/0.52 % (4617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.52 % (4622)Memory used [KB]: 5884
% 1.28/0.52 % (4617)Termination reason: Unknown
% 1.28/0.52 % (4622)Time elapsed: 0.003 s
% 1.28/0.52 % (4617)Termination phase: Saturation
% 1.28/0.52
% 1.28/0.52 % (4622)Instructions burned: 4 (million)
% 1.28/0.52 % (4622)------------------------------
% 1.28/0.52 % (4622)------------------------------
% 1.28/0.52 % (4617)Memory used [KB]: 5884
% 1.28/0.52 % (4617)Time elapsed: 0.122 s
% 1.28/0.52 % (4617)Instructions burned: 4 (million)
% 1.28/0.52 % (4617)------------------------------
% 1.28/0.52 % (4617)------------------------------
% 1.28/0.53 % (4613)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.28/0.53 % (4631)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 1.28/0.53 % (4611)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.28/0.53 % (4613)Refutation not found, incomplete strategy% (4613)------------------------------
% 1.28/0.53 % (4613)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.53 % (4613)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.53 % (4613)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.53
% 1.28/0.53 % (4613)Memory used [KB]: 5884
% 1.28/0.53 % (4613)Time elapsed: 0.119 s
% 1.28/0.53 % (4613)Instructions burned: 3 (million)
% 1.28/0.53 % (4613)------------------------------
% 1.28/0.53 % (4613)------------------------------
% 1.28/0.53 % (4614)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.28/0.53 % (4611)Instruction limit reached!
% 1.28/0.53 % (4611)------------------------------
% 1.28/0.53 % (4611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.53 % (4611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.53 % (4611)Termination reason: Unknown
% 1.28/0.53 % (4611)Termination phase: Saturation
% 1.28/0.53
% 1.28/0.53 % (4611)Memory used [KB]: 5884
% 1.28/0.53 % (4611)Time elapsed: 0.119 s
% 1.28/0.53 % (4611)Instructions burned: 5 (million)
% 1.28/0.53 % (4611)------------------------------
% 1.28/0.53 % (4611)------------------------------
% 1.28/0.53 % (4632)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.28/0.53 % (4629)Instruction limit reached!
% 1.28/0.53 % (4629)------------------------------
% 1.28/0.53 % (4629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.53 % (4629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.53 % (4629)Termination reason: Unknown
% 1.28/0.53 % (4629)Termination phase: Saturation
% 1.28/0.53
% 1.28/0.53 % (4629)Memory used [KB]: 1407
% 1.28/0.53 % (4629)Time elapsed: 0.128 s
% 1.28/0.53 % (4629)Instructions burned: 7 (million)
% 1.28/0.53 % (4629)------------------------------
% 1.28/0.53 % (4629)------------------------------
% 1.28/0.53 % (4625)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.28/0.53 % (4632)Refutation not found, incomplete strategy% (4632)------------------------------
% 1.28/0.53 % (4632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.53 % (4632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.53 % (4632)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.53
% 1.28/0.53 % (4632)Memory used [KB]: 5884
% 1.28/0.53 % (4632)Time elapsed: 0.129 s
% 1.28/0.53 % (4632)Instructions burned: 3 (million)
% 1.28/0.53 % (4632)------------------------------
% 1.28/0.53 % (4632)------------------------------
% 1.28/0.53 % (4625)Instruction limit reached!
% 1.28/0.53 % (4625)------------------------------
% 1.28/0.53 % (4625)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.53 % (4625)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.53 % (4625)Termination reason: Unknown
% 1.28/0.53 % (4625)Termination phase: Saturation
% 1.28/0.53
% 1.28/0.53 % (4625)Memory used [KB]: 5884
% 1.28/0.53 % (4625)Time elapsed: 0.002 s
% 1.28/0.53 % (4625)Instructions burned: 2 (million)
% 1.28/0.53 % (4625)------------------------------
% 1.28/0.53 % (4625)------------------------------
% 1.28/0.53 % (4609)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.28/0.53 % (4624)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.28/0.53 % (4624)Instruction limit reached!
% 1.28/0.53 % (4624)------------------------------
% 1.28/0.53 % (4624)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.53 % (4624)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.53 % (4624)Termination reason: Unknown
% 1.28/0.53 % (4624)Termination phase: Finite model building preprocessing
% 1.28/0.53
% 1.28/0.53 % (4624)Memory used [KB]: 5884
% 1.28/0.53 % (4624)Time elapsed: 0.003 s
% 1.28/0.53 % (4624)Instructions burned: 6 (million)
% 1.28/0.53 % (4624)------------------------------
% 1.28/0.53 % (4624)------------------------------
% 1.55/0.54 % (4636)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.55/0.54 % (4634)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.55/0.54 % (4633)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.55/0.54 % (4626)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.55/0.54 % (4630)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 1.55/0.55 % (4626)Instruction limit reached!
% 1.55/0.55 % (4626)------------------------------
% 1.55/0.55 % (4626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.55 % (4626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.55 % (4626)Termination reason: Unknown
% 1.55/0.55 % (4626)Termination phase: Saturation
% 1.55/0.55
% 1.55/0.55 % (4626)Memory used [KB]: 6012
% 1.55/0.55 % (4626)Time elapsed: 0.146 s
% 1.55/0.55 % (4626)Instructions burned: 9 (million)
% 1.55/0.55 % (4626)------------------------------
% 1.55/0.55 % (4626)------------------------------
% 1.55/0.55 % (4627)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.55/0.55 % (4638)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.55/0.56 % (4631)Refutation not found, incomplete strategy% (4631)------------------------------
% 1.55/0.56 % (4631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.56 % (4631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.56 % (4631)Termination reason: Refutation not found, incomplete strategy
% 1.55/0.56
% 1.55/0.56 % (4631)Memory used [KB]: 6012
% 1.55/0.56 % (4631)Time elapsed: 0.114 s
% 1.55/0.56 % (4631)Instructions burned: 16 (million)
% 1.55/0.56 % (4631)------------------------------
% 1.55/0.56 % (4631)------------------------------
% 1.55/0.56 % (4609)First to succeed.
% 1.55/0.56 % (4620)Instruction limit reached!
% 1.55/0.56 % (4620)------------------------------
% 1.55/0.56 % (4620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.56 % (4620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.56 % (4620)Termination reason: Unknown
% 1.55/0.56 % (4620)Termination phase: Saturation
% 1.55/0.56
% 1.55/0.56 % (4620)Memory used [KB]: 6140
% 1.55/0.56 % (4620)Time elapsed: 0.161 s
% 1.55/0.56 % (4620)Instructions burned: 25 (million)
% 1.55/0.56 % (4620)------------------------------
% 1.55/0.56 % (4620)------------------------------
% 1.55/0.56 % (4609)Refutation found. Thanks to Tanya!
% 1.55/0.56 % SZS status Unsatisfiable for theBenchmark
% 1.55/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.55/0.56 % (4609)------------------------------
% 1.55/0.56 % (4609)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.56 % (4609)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.56 % (4609)Termination reason: Refutation
% 1.55/0.56
% 1.55/0.56 % (4609)Memory used [KB]: 6140
% 1.55/0.56 % (4609)Time elapsed: 0.130 s
% 1.55/0.56 % (4609)Instructions burned: 17 (million)
% 1.55/0.56 % (4609)------------------------------
% 1.55/0.56 % (4609)------------------------------
% 1.55/0.56 % (4608)Success in time 0.201 s
%------------------------------------------------------------------------------