TSTP Solution File: GRP305-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP305-1 : 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 : n014.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 16:15:16 EDT 2022
% Result : Unsatisfiable 2.29s 0.68s
% Output : Refutation 2.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 52
% Syntax : Number of formulae : 269 ( 24 unt; 0 def)
% Number of atoms : 930 ( 310 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1275 ( 614 ~; 646 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 17 con; 0-2 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f845,plain,
$false,
inference(avatar_sat_refutation,[],[f74,f83,f84,f93,f102,f103,f104,f109,f111,f116,f117,f118,f119,f120,f122,f123,f133,f134,f135,f136,f137,f138,f139,f140,f278,f331,f348,f363,f496,f558,f596,f607,f631,f661,f691,f746,f787,f829,f844]) ).
fof(f844,plain,
( ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_12
| ~ spl10_18
| ~ spl10_20 ),
inference(avatar_contradiction_clause,[],[f843]) ).
fof(f843,plain,
( $false
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_12
| ~ spl10_18
| ~ spl10_20 ),
inference(subsumption_resolution,[],[f837,f782]) ).
fof(f782,plain,
( identity = inverse(identity)
| ~ spl10_4
| ~ spl10_18
| ~ spl10_20 ),
inference(forward_demodulation,[],[f754,f776]) ).
fof(f776,plain,
( identity = sk_c2
| ~ spl10_4
| ~ spl10_18
| ~ spl10_20 ),
inference(backward_demodulation,[],[f720,f775]) ).
fof(f775,plain,
( ! [X0] : multiply(sF6,X0) = X0
| ~ spl10_18
| ~ spl10_20 ),
inference(backward_demodulation,[],[f177,f749]) ).
fof(f749,plain,
( sF6 = inverse(identity)
| ~ spl10_18
| ~ spl10_20 ),
inference(backward_demodulation,[],[f39,f748]) ).
fof(f748,plain,
( identity = sk_c6
| ~ spl10_18
| ~ spl10_20 ),
inference(backward_demodulation,[],[f425,f434]) ).
fof(f434,plain,
( identity = sk_c4
| ~ spl10_20 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f433,plain,
( spl10_20
<=> identity = sk_c4 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_20])]) ).
fof(f425,plain,
( sk_c6 = sk_c4
| ~ spl10_18 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f424,plain,
( spl10_18
<=> sk_c6 = sk_c4 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_18])]) ).
fof(f39,plain,
inverse(sk_c6) = sF6,
introduced(function_definition,[]) ).
fof(f177,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f161,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f161,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f152,f1]) ).
fof(f152,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f720,plain,
( sk_c2 = multiply(sF6,identity)
| ~ spl10_4 ),
inference(forward_demodulation,[],[f381,f39]) ).
fof(f381,plain,
( sk_c2 = multiply(inverse(sk_c6),identity)
| ~ spl10_4 ),
inference(backward_demodulation,[],[f190,f82]) ).
fof(f82,plain,
( sk_c6 = sF3
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl10_4
<=> sk_c6 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).
fof(f190,plain,
sk_c2 = multiply(inverse(sF3),identity),
inference(superposition,[],[f161,f147]) ).
fof(f147,plain,
identity = multiply(sF3,sk_c2),
inference(superposition,[],[f2,f34]) ).
fof(f34,plain,
inverse(sk_c2) = sF3,
introduced(function_definition,[]) ).
fof(f754,plain,
( identity = inverse(sk_c2)
| ~ spl10_4
| ~ spl10_18
| ~ spl10_20 ),
inference(backward_demodulation,[],[f384,f748]) ).
fof(f384,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl10_4 ),
inference(backward_demodulation,[],[f34,f82]) ).
fof(f837,plain,
( identity != inverse(identity)
| ~ spl10_1
| ~ spl10_6
| ~ spl10_8
| ~ spl10_12
| ~ spl10_18
| ~ spl10_20 ),
inference(trivial_inequality_removal,[],[f833]) ).
fof(f833,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl10_1
| ~ spl10_6
| ~ spl10_8
| ~ spl10_12
| ~ spl10_18
| ~ spl10_20 ),
inference(superposition,[],[f832,f1]) ).
fof(f832,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl10_1
| ~ spl10_6
| ~ spl10_8
| ~ spl10_12
| ~ spl10_18
| ~ spl10_20 ),
inference(forward_demodulation,[],[f831,f748]) ).
fof(f831,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| identity != multiply(X4,identity) )
| ~ spl10_1
| ~ spl10_6
| ~ spl10_8
| ~ spl10_12
| ~ spl10_18
| ~ spl10_20 ),
inference(forward_demodulation,[],[f830,f748]) ).
fof(f830,plain,
( ! [X4] :
( sk_c6 != multiply(X4,identity)
| sk_c6 != inverse(X4) )
| ~ spl10_1
| ~ spl10_6
| ~ spl10_8
| ~ spl10_12
| ~ spl10_18
| ~ spl10_20 ),
inference(forward_demodulation,[],[f129,f756]) ).
fof(f756,plain,
( identity = sk_c5
| ~ spl10_1
| ~ spl10_6
| ~ spl10_8
| ~ spl10_18
| ~ spl10_20 ),
inference(backward_demodulation,[],[f464,f748]) ).
fof(f464,plain,
( sk_c6 = sk_c5
| ~ spl10_1
| ~ spl10_6
| ~ spl10_8 ),
inference(forward_demodulation,[],[f461,f372]) ).
fof(f372,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c4)
| ~ spl10_6 ),
inference(forward_demodulation,[],[f184,f92]) ).
fof(f92,plain,
( sk_c4 = sF0
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f90,plain,
( spl10_6
<=> sk_c4 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).
fof(f184,plain,
sk_c6 = multiply(inverse(sk_c5),sF0),
inference(superposition,[],[f161,f30]) ).
fof(f30,plain,
multiply(sk_c5,sk_c6) = sF0,
introduced(function_definition,[]) ).
fof(f461,plain,
( sk_c5 = multiply(inverse(sk_c5),sk_c4)
| ~ spl10_1
| ~ spl10_8 ),
inference(superposition,[],[f161,f378]) ).
fof(f378,plain,
( sk_c4 = multiply(sk_c5,sk_c5)
| ~ spl10_1
| ~ spl10_8 ),
inference(forward_demodulation,[],[f377,f101]) ).
fof(f101,plain,
( sk_c5 = sF5
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f99,plain,
( spl10_8
<=> sk_c5 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).
fof(f377,plain,
( sk_c4 = multiply(sF5,sk_c5)
| ~ spl10_1 ),
inference(forward_demodulation,[],[f195,f69]) ).
fof(f69,plain,
( sk_c5 = sF4
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl10_1
<=> sk_c5 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f195,plain,
sk_c4 = multiply(sF5,sF4),
inference(forward_demodulation,[],[f188,f38]) ).
fof(f38,plain,
inverse(sk_c3) = sF5,
introduced(function_definition,[]) ).
fof(f188,plain,
sk_c4 = multiply(inverse(sk_c3),sF4),
inference(superposition,[],[f161,f36]) ).
fof(f36,plain,
multiply(sk_c3,sk_c4) = sF4,
introduced(function_definition,[]) ).
fof(f129,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c5)
| sk_c6 != inverse(X4) )
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl10_12
<=> ! [X4] :
( sk_c6 != multiply(X4,sk_c5)
| sk_c6 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).
fof(f829,plain,
( ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11
| ~ spl10_18
| ~ spl10_20 ),
inference(avatar_contradiction_clause,[],[f828]) ).
fof(f828,plain,
( $false
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11
| ~ spl10_18
| ~ spl10_20 ),
inference(subsumption_resolution,[],[f823,f782]) ).
fof(f823,plain,
( identity != inverse(identity)
| ~ spl10_1
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11
| ~ spl10_18
| ~ spl10_20 ),
inference(trivial_inequality_removal,[],[f818]) ).
fof(f818,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl10_1
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11
| ~ spl10_18
| ~ spl10_20 ),
inference(superposition,[],[f799,f1]) ).
fof(f799,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl10_1
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11
| ~ spl10_18
| ~ spl10_20 ),
inference(forward_demodulation,[],[f798,f756]) ).
fof(f798,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| sk_c5 != inverse(X5) )
| ~ spl10_1
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11
| ~ spl10_18
| ~ spl10_20 ),
inference(forward_demodulation,[],[f797,f756]) ).
fof(f797,plain,
( ! [X5] :
( sk_c5 != multiply(X5,identity)
| sk_c5 != inverse(X5) )
| ~ spl10_11
| ~ spl10_20 ),
inference(forward_demodulation,[],[f126,f434]) ).
fof(f126,plain,
( ! [X5] :
( sk_c5 != multiply(X5,sk_c4)
| sk_c5 != inverse(X5) )
| ~ spl10_11 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl10_11
<=> ! [X5] :
( sk_c5 != multiply(X5,sk_c4)
| sk_c5 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_11])]) ).
fof(f787,plain,
( ~ spl10_4
| spl10_10
| ~ spl10_18
| ~ spl10_20 ),
inference(avatar_contradiction_clause,[],[f786]) ).
fof(f786,plain,
( $false
| ~ spl10_4
| spl10_10
| ~ spl10_18
| ~ spl10_20 ),
inference(subsumption_resolution,[],[f785,f770]) ).
fof(f770,plain,
( identity != sF6
| spl10_10
| ~ spl10_18
| ~ spl10_20 ),
inference(backward_demodulation,[],[f743,f748]) ).
fof(f743,plain,
( sk_c6 != sF6
| spl10_10
| ~ spl10_18 ),
inference(forward_demodulation,[],[f114,f425]) ).
fof(f114,plain,
( sk_c4 != sF6
| spl10_10 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl10_10
<=> sk_c4 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).
fof(f785,plain,
( identity = sF6
| ~ spl10_4
| ~ spl10_18
| ~ spl10_20 ),
inference(backward_demodulation,[],[f749,f782]) ).
fof(f746,plain,
( spl10_2
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_18 ),
inference(avatar_split_clause,[],[f727,f424,f106,f99,f90,f80,f67,f71]) ).
fof(f71,plain,
( spl10_2
<=> sk_c6 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f106,plain,
( spl10_9
<=> sk_c6 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).
fof(f727,plain,
( sk_c6 = sF2
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_18 ),
inference(backward_demodulation,[],[f719,f464]) ).
fof(f719,plain,
( sk_c5 = sF2
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_18 ),
inference(backward_demodulation,[],[f655,f718]) ).
fof(f718,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl10_4
| ~ spl10_9 ),
inference(backward_demodulation,[],[f405,f384]) ).
fof(f405,plain,
( sk_c5 = multiply(inverse(sk_c2),sk_c6)
| ~ spl10_9 ),
inference(superposition,[],[f161,f376]) ).
fof(f376,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| ~ spl10_9 ),
inference(forward_demodulation,[],[f41,f108]) ).
fof(f108,plain,
( sk_c6 = sF7
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f41,plain,
multiply(sk_c2,sk_c5) = sF7,
introduced(function_definition,[]) ).
fof(f655,plain,
( multiply(sk_c6,sk_c6) = sF2
| ~ spl10_1
| ~ spl10_6
| ~ spl10_8
| ~ spl10_18 ),
inference(forward_demodulation,[],[f599,f425]) ).
fof(f599,plain,
( multiply(sk_c6,sk_c4) = sF2
| ~ spl10_1
| ~ spl10_6
| ~ spl10_8 ),
inference(backward_demodulation,[],[f33,f464]) ).
fof(f33,plain,
multiply(sk_c5,sk_c4) = sF2,
introduced(function_definition,[]) ).
fof(f691,plain,
( spl10_20
| ~ spl10_1
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_18 ),
inference(avatar_split_clause,[],[f670,f424,f113,f99,f90,f67,f433]) ).
fof(f670,plain,
( identity = sk_c4
| ~ spl10_1
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_18 ),
inference(backward_demodulation,[],[f425,f662]) ).
fof(f662,plain,
( identity = sk_c6
| ~ spl10_1
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_18 ),
inference(backward_demodulation,[],[f624,f613]) ).
fof(f613,plain,
( identity = multiply(sk_c6,sk_c6)
| ~ spl10_10
| ~ spl10_18 ),
inference(backward_demodulation,[],[f146,f425]) ).
fof(f146,plain,
( identity = multiply(sk_c4,sk_c6)
| ~ spl10_10 ),
inference(superposition,[],[f2,f141]) ).
fof(f141,plain,
( sk_c4 = inverse(sk_c6)
| ~ spl10_10 ),
inference(backward_demodulation,[],[f39,f115]) ).
fof(f115,plain,
( sk_c4 = sF6
| ~ spl10_10 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f624,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl10_1
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_18 ),
inference(backward_demodulation,[],[f494,f425]) ).
fof(f494,plain,
( sk_c6 = multiply(sk_c4,sk_c4)
| ~ spl10_1
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10 ),
inference(forward_demodulation,[],[f478,f141]) ).
fof(f478,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c4)
| ~ spl10_1
| ~ spl10_6
| ~ spl10_8 ),
inference(backward_demodulation,[],[f372,f464]) ).
fof(f661,plain,
( ~ spl10_1
| spl10_3
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_18 ),
inference(avatar_contradiction_clause,[],[f660]) ).
fof(f660,plain,
( $false
| ~ spl10_1
| spl10_3
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_18 ),
inference(subsumption_resolution,[],[f659,f425]) ).
fof(f659,plain,
( sk_c6 != sk_c4
| ~ spl10_1
| spl10_3
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_18 ),
inference(forward_demodulation,[],[f77,f654]) ).
fof(f654,plain,
( sk_c6 = sF1
| ~ spl10_1
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_18 ),
inference(forward_demodulation,[],[f653,f624]) ).
fof(f653,plain,
( sF1 = multiply(sk_c6,sk_c6)
| ~ spl10_1
| ~ spl10_6
| ~ spl10_8 ),
inference(forward_demodulation,[],[f31,f464]) ).
fof(f31,plain,
multiply(sk_c6,sk_c5) = sF1,
introduced(function_definition,[]) ).
fof(f77,plain,
( sk_c4 != sF1
| spl10_3 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl10_3
<=> sk_c4 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).
fof(f631,plain,
( ~ spl10_1
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_13
| ~ spl10_18 ),
inference(avatar_contradiction_clause,[],[f630]) ).
fof(f630,plain,
( $false
| ~ spl10_1
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_13
| ~ spl10_18 ),
inference(subsumption_resolution,[],[f612,f486]) ).
fof(f486,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl10_1
| ~ spl10_6
| ~ spl10_8
| ~ spl10_13 ),
inference(backward_demodulation,[],[f422,f464]) ).
fof(f422,plain,
( sk_c6 != inverse(sk_c5)
| ~ spl10_6
| ~ spl10_13 ),
inference(trivial_inequality_removal,[],[f419]) ).
fof(f419,plain,
( sk_c6 != inverse(sk_c5)
| sk_c4 != sk_c4
| ~ spl10_6
| ~ spl10_13 ),
inference(superposition,[],[f132,f379]) ).
fof(f379,plain,
( sk_c4 = multiply(sk_c5,sk_c6)
| ~ spl10_6 ),
inference(forward_demodulation,[],[f30,f92]) ).
fof(f132,plain,
( ! [X3] :
( sk_c4 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) )
| ~ spl10_13 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f131,plain,
( spl10_13
<=> ! [X3] :
( sk_c4 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).
fof(f612,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl10_10
| ~ spl10_18 ),
inference(backward_demodulation,[],[f141,f425]) ).
fof(f607,plain,
( ~ spl10_18
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| spl10_7
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10 ),
inference(avatar_split_clause,[],[f604,f113,f106,f99,f95,f90,f86,f80,f67,f424]) ).
fof(f86,plain,
( spl10_5
<=> sk_c6 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).
fof(f95,plain,
( spl10_7
<=> sk_c4 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).
fof(f604,plain,
( sk_c6 != sk_c4
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| spl10_7
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10 ),
inference(backward_demodulation,[],[f96,f602]) ).
fof(f602,plain,
( sk_c6 = sF9
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10 ),
inference(forward_demodulation,[],[f390,f482]) ).
fof(f482,plain,
( sk_c6 = multiply(sk_c2,sk_c6)
| ~ spl10_1
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9 ),
inference(backward_demodulation,[],[f376,f464]) ).
fof(f390,plain,
( sF9 = multiply(sk_c2,sk_c6)
| ~ spl10_4
| ~ spl10_5
| ~ spl10_10 ),
inference(forward_demodulation,[],[f46,f386]) ).
fof(f386,plain,
( sk_c2 = sk_c1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_10 ),
inference(backward_demodulation,[],[f170,f385]) ).
fof(f385,plain,
( sk_c2 = multiply(sk_c4,identity)
| ~ spl10_4
| ~ spl10_10 ),
inference(forward_demodulation,[],[f381,f141]) ).
fof(f170,plain,
( sk_c1 = multiply(sk_c4,identity)
| ~ spl10_5
| ~ spl10_10 ),
inference(superposition,[],[f160,f149]) ).
fof(f149,plain,
( identity = multiply(sk_c6,sk_c1)
| ~ spl10_5 ),
inference(superposition,[],[f2,f142]) ).
fof(f142,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl10_5 ),
inference(backward_demodulation,[],[f43,f88]) ).
fof(f88,plain,
( sk_c6 = sF8
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f43,plain,
inverse(sk_c1) = sF8,
introduced(function_definition,[]) ).
fof(f160,plain,
( ! [X11] : multiply(sk_c4,multiply(sk_c6,X11)) = X11
| ~ spl10_10 ),
inference(forward_demodulation,[],[f156,f1]) ).
fof(f156,plain,
( ! [X11] : multiply(sk_c4,multiply(sk_c6,X11)) = multiply(identity,X11)
| ~ spl10_10 ),
inference(superposition,[],[f3,f146]) ).
fof(f46,plain,
multiply(sk_c1,sk_c6) = sF9,
introduced(function_definition,[]) ).
fof(f96,plain,
( sk_c4 != sF9
| spl10_7 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f596,plain,
( ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| spl10_18 ),
inference(avatar_contradiction_clause,[],[f595]) ).
fof(f595,plain,
( $false
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| spl10_18 ),
inference(subsumption_resolution,[],[f594,f426]) ).
fof(f426,plain,
( sk_c6 != sk_c4
| spl10_18 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f594,plain,
( sk_c6 = sk_c4
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9 ),
inference(forward_demodulation,[],[f484,f485]) ).
fof(f485,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9 ),
inference(backward_demodulation,[],[f380,f464]) ).
fof(f380,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl10_4
| ~ spl10_9 ),
inference(backward_demodulation,[],[f370,f82]) ).
fof(f370,plain,
( sk_c5 = multiply(sF3,sk_c6)
| ~ spl10_9 ),
inference(backward_demodulation,[],[f193,f108]) ).
fof(f193,plain,
sk_c5 = multiply(sF3,sF7),
inference(forward_demodulation,[],[f187,f34]) ).
fof(f187,plain,
sk_c5 = multiply(inverse(sk_c2),sF7),
inference(superposition,[],[f161,f41]) ).
fof(f484,plain,
( sk_c4 = multiply(sk_c6,sk_c6)
| ~ spl10_1
| ~ spl10_6
| ~ spl10_8 ),
inference(backward_demodulation,[],[f379,f464]) ).
fof(f558,plain,
( ~ spl10_20
| ~ spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| spl10_18 ),
inference(avatar_split_clause,[],[f517,f424,f113,f99,f90,f76,f71,f67,f433]) ).
fof(f517,plain,
( identity != sk_c4
| ~ spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| spl10_18 ),
inference(backward_demodulation,[],[f426,f499]) ).
fof(f499,plain,
( identity = sk_c6
| ~ spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10 ),
inference(forward_demodulation,[],[f467,f459]) ).
fof(f459,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl10_3
| ~ spl10_6
| ~ spl10_10 ),
inference(forward_demodulation,[],[f451,f146]) ).
fof(f451,plain,
( multiply(sk_c4,sk_c6) = multiply(sk_c6,sk_c4)
| ~ spl10_3
| ~ spl10_6 ),
inference(superposition,[],[f153,f379]) ).
fof(f153,plain,
( ! [X8] : multiply(sk_c6,multiply(sk_c5,X8)) = multiply(sk_c4,X8)
| ~ spl10_3 ),
inference(superposition,[],[f3,f144]) ).
fof(f144,plain,
( multiply(sk_c6,sk_c5) = sk_c4
| ~ spl10_3 ),
inference(backward_demodulation,[],[f31,f78]) ).
fof(f78,plain,
( sk_c4 = sF1
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f467,plain,
( sk_c6 = multiply(sk_c6,sk_c4)
| ~ spl10_1
| ~ spl10_2
| ~ spl10_6
| ~ spl10_8 ),
inference(backward_demodulation,[],[f143,f464]) ).
fof(f143,plain,
( sk_c6 = multiply(sk_c5,sk_c4)
| ~ spl10_2 ),
inference(backward_demodulation,[],[f33,f73]) ).
fof(f73,plain,
( sk_c6 = sF2
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f496,plain,
( spl10_20
| ~ spl10_1
| ~ spl10_2
| ~ spl10_6
| ~ spl10_8 ),
inference(avatar_split_clause,[],[f495,f99,f90,f71,f67,f433]) ).
fof(f495,plain,
( identity = sk_c4
| ~ spl10_1
| ~ spl10_2
| ~ spl10_6
| ~ spl10_8 ),
inference(forward_demodulation,[],[f472,f2]) ).
fof(f472,plain,
( sk_c4 = multiply(inverse(sk_c6),sk_c6)
| ~ spl10_1
| ~ spl10_2
| ~ spl10_6
| ~ spl10_8 ),
inference(backward_demodulation,[],[f183,f464]) ).
fof(f183,plain,
( sk_c4 = multiply(inverse(sk_c5),sk_c6)
| ~ spl10_2 ),
inference(superposition,[],[f161,f143]) ).
fof(f363,plain,
( ~ spl10_5
| ~ spl10_7
| ~ spl10_10
| ~ spl10_13 ),
inference(avatar_contradiction_clause,[],[f362]) ).
fof(f362,plain,
( $false
| ~ spl10_5
| ~ spl10_7
| ~ spl10_10
| ~ spl10_13 ),
inference(subsumption_resolution,[],[f357,f238]) ).
fof(f238,plain,
( identity = inverse(identity)
| ~ spl10_5
| ~ spl10_7
| ~ spl10_10 ),
inference(backward_demodulation,[],[f228,f232]) ).
fof(f232,plain,
( identity = sk_c6
| ~ spl10_5
| ~ spl10_7
| ~ spl10_10 ),
inference(forward_demodulation,[],[f221,f2]) ).
fof(f221,plain,
( sk_c6 = multiply(inverse(identity),identity)
| ~ spl10_5
| ~ spl10_7
| ~ spl10_10 ),
inference(backward_demodulation,[],[f185,f202]) ).
fof(f202,plain,
( identity = sk_c4
| ~ spl10_5
| ~ spl10_7 ),
inference(forward_demodulation,[],[f200,f2]) ).
fof(f200,plain,
( sk_c4 = multiply(inverse(sk_c6),sk_c6)
| ~ spl10_5
| ~ spl10_7 ),
inference(superposition,[],[f161,f197]) ).
fof(f197,plain,
( sk_c6 = multiply(sk_c6,sk_c4)
| ~ spl10_5
| ~ spl10_7 ),
inference(forward_demodulation,[],[f189,f142]) ).
fof(f189,plain,
( sk_c6 = multiply(inverse(sk_c1),sk_c4)
| ~ spl10_7 ),
inference(superposition,[],[f161,f145]) ).
fof(f145,plain,
( sk_c4 = multiply(sk_c1,sk_c6)
| ~ spl10_7 ),
inference(backward_demodulation,[],[f46,f97]) ).
fof(f97,plain,
( sk_c4 = sF9
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f185,plain,
( sk_c6 = multiply(inverse(sk_c4),identity)
| ~ spl10_10 ),
inference(superposition,[],[f161,f146]) ).
fof(f228,plain,
( sk_c6 = inverse(identity)
| ~ spl10_5
| ~ spl10_7
| ~ spl10_10 ),
inference(backward_demodulation,[],[f142,f225]) ).
fof(f225,plain,
( identity = sk_c1
| ~ spl10_5
| ~ spl10_7
| ~ spl10_10 ),
inference(forward_demodulation,[],[f219,f1]) ).
fof(f219,plain,
( sk_c1 = multiply(identity,identity)
| ~ spl10_5
| ~ spl10_7
| ~ spl10_10 ),
inference(backward_demodulation,[],[f170,f202]) ).
fof(f357,plain,
( identity != inverse(identity)
| ~ spl10_5
| ~ spl10_7
| ~ spl10_10
| ~ spl10_13 ),
inference(trivial_inequality_removal,[],[f352]) ).
fof(f352,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl10_5
| ~ spl10_7
| ~ spl10_10
| ~ spl10_13 ),
inference(superposition,[],[f351,f1]) ).
fof(f351,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl10_5
| ~ spl10_7
| ~ spl10_10
| ~ spl10_13 ),
inference(forward_demodulation,[],[f350,f202]) ).
fof(f350,plain,
( ! [X3] :
( sk_c4 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl10_5
| ~ spl10_7
| ~ spl10_10
| ~ spl10_13 ),
inference(forward_demodulation,[],[f349,f232]) ).
fof(f349,plain,
( ! [X3] :
( sk_c4 != multiply(X3,sk_c6)
| identity != inverse(X3) )
| ~ spl10_5
| ~ spl10_7
| ~ spl10_10
| ~ spl10_13 ),
inference(forward_demodulation,[],[f132,f232]) ).
fof(f348,plain,
( ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_10
| ~ spl10_12 ),
inference(avatar_contradiction_clause,[],[f347]) ).
fof(f347,plain,
( $false
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_10
| ~ spl10_12 ),
inference(subsumption_resolution,[],[f340,f238]) ).
fof(f340,plain,
( identity != inverse(identity)
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_10
| ~ spl10_12 ),
inference(trivial_inequality_removal,[],[f335]) ).
fof(f335,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_10
| ~ spl10_12 ),
inference(superposition,[],[f334,f1]) ).
fof(f334,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_10
| ~ spl10_12 ),
inference(forward_demodulation,[],[f333,f232]) ).
fof(f333,plain,
( ! [X4] :
( sk_c6 != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_10
| ~ spl10_12 ),
inference(forward_demodulation,[],[f332,f241]) ).
fof(f241,plain,
( identity = sk_c5
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_10 ),
inference(forward_demodulation,[],[f218,f1]) ).
fof(f218,plain,
( sk_c5 = multiply(identity,identity)
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_10 ),
inference(backward_demodulation,[],[f169,f202]) ).
fof(f169,plain,
( sk_c5 = multiply(sk_c4,sk_c4)
| ~ spl10_3
| ~ spl10_10 ),
inference(superposition,[],[f160,f144]) ).
fof(f332,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c6 != multiply(X4,sk_c5) )
| ~ spl10_5
| ~ spl10_7
| ~ spl10_10
| ~ spl10_12 ),
inference(forward_demodulation,[],[f129,f232]) ).
fof(f331,plain,
( ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_10
| ~ spl10_11 ),
inference(avatar_contradiction_clause,[],[f330]) ).
fof(f330,plain,
( $false
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_10
| ~ spl10_11 ),
inference(subsumption_resolution,[],[f329,f238]) ).
fof(f329,plain,
( identity != inverse(identity)
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_10
| ~ spl10_11 ),
inference(forward_demodulation,[],[f307,f238]) ).
fof(f307,plain,
( identity != inverse(inverse(identity))
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_10
| ~ spl10_11 ),
inference(trivial_inequality_removal,[],[f304]) ).
fof(f304,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_10
| ~ spl10_11 ),
inference(superposition,[],[f290,f2]) ).
fof(f290,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_10
| ~ spl10_11 ),
inference(forward_demodulation,[],[f289,f241]) ).
fof(f289,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| sk_c5 != inverse(X5) )
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_10
| ~ spl10_11 ),
inference(forward_demodulation,[],[f288,f241]) ).
fof(f288,plain,
( ! [X5] :
( sk_c5 != multiply(X5,identity)
| sk_c5 != inverse(X5) )
| ~ spl10_5
| ~ spl10_7
| ~ spl10_11 ),
inference(forward_demodulation,[],[f126,f202]) ).
fof(f278,plain,
( ~ spl10_3
| ~ spl10_5
| spl10_6
| ~ spl10_7
| ~ spl10_10 ),
inference(avatar_contradiction_clause,[],[f277]) ).
fof(f277,plain,
( $false
| ~ spl10_3
| ~ spl10_5
| spl10_6
| ~ spl10_7
| ~ spl10_10 ),
inference(subsumption_resolution,[],[f205,f250]) ).
fof(f250,plain,
( identity = sF0
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_10 ),
inference(forward_demodulation,[],[f246,f1]) ).
fof(f246,plain,
( multiply(identity,identity) = sF0
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_10 ),
inference(backward_demodulation,[],[f233,f241]) ).
fof(f233,plain,
( sF0 = multiply(sk_c5,identity)
| ~ spl10_5
| ~ spl10_7
| ~ spl10_10 ),
inference(backward_demodulation,[],[f30,f232]) ).
fof(f205,plain,
( identity != sF0
| ~ spl10_5
| spl10_6
| ~ spl10_7 ),
inference(backward_demodulation,[],[f91,f202]) ).
fof(f91,plain,
( sk_c4 != sF0
| spl10_6 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f140,plain,
( spl10_4
| spl10_10 ),
inference(avatar_split_clause,[],[f61,f113,f80]) ).
fof(f61,plain,
( sk_c4 = sF6
| sk_c6 = sF3 ),
inference(definition_folding,[],[f15,f39,f34]) ).
fof(f15,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c4 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f139,plain,
( spl10_2
| spl10_4 ),
inference(avatar_split_clause,[],[f35,f80,f71]) ).
fof(f35,plain,
( sk_c6 = sF3
| sk_c6 = sF2 ),
inference(definition_folding,[],[f10,f34,f33]) ).
fof(f10,axiom,
( sk_c6 = multiply(sk_c5,sk_c4)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f138,plain,
( spl10_6
| spl10_7 ),
inference(avatar_split_clause,[],[f51,f95,f90]) ).
fof(f51,plain,
( sk_c4 = sF9
| sk_c4 = sF0 ),
inference(definition_folding,[],[f19,f30,f46]) ).
fof(f19,axiom,
( sk_c4 = multiply(sk_c1,sk_c6)
| sk_c4 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f137,plain,
( spl10_8
| spl10_5 ),
inference(avatar_split_clause,[],[f55,f86,f99]) ).
fof(f55,plain,
( sk_c6 = sF8
| sk_c5 = sF5 ),
inference(definition_folding,[],[f27,f43,f38]) ).
fof(f27,axiom,
( sk_c5 = inverse(sk_c3)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f136,plain,
( spl10_1
| spl10_10 ),
inference(avatar_split_clause,[],[f63,f113,f67]) ).
fof(f63,plain,
( sk_c4 = sF6
| sk_c5 = sF4 ),
inference(definition_folding,[],[f18,f39,f36]) ).
fof(f18,axiom,
( sk_c5 = multiply(sk_c3,sk_c4)
| sk_c4 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f135,plain,
( spl10_1
| spl10_7 ),
inference(avatar_split_clause,[],[f54,f95,f67]) ).
fof(f54,plain,
( sk_c4 = sF9
| sk_c5 = sF4 ),
inference(definition_folding,[],[f23,f46,f36]) ).
fof(f23,axiom,
( sk_c5 = multiply(sk_c3,sk_c4)
| sk_c4 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f134,plain,
( spl10_4
| spl10_5 ),
inference(avatar_split_clause,[],[f53,f86,f80]) ).
fof(f53,plain,
( sk_c6 = sF8
| sk_c6 = sF3 ),
inference(definition_folding,[],[f25,f34,f43]) ).
fof(f25,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f133,plain,
( ~ spl10_6
| ~ spl10_2
| ~ spl10_3
| spl10_11
| spl10_12
| spl10_13
| ~ spl10_10 ),
inference(avatar_split_clause,[],[f60,f113,f131,f128,f125,f76,f71,f90]) ).
fof(f60,plain,
! [X3,X4,X5] :
( sk_c4 != sF6
| sk_c4 != multiply(X3,sk_c6)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != multiply(X5,sk_c4)
| sk_c4 != sF1
| sk_c6 != sF2
| sk_c6 != inverse(X4)
| sk_c6 != inverse(X3)
| sk_c5 != inverse(X5)
| sk_c4 != sF0 ),
inference(definition_folding,[],[f29,f39,f30,f31,f33]) ).
fof(f29,axiom,
! [X3,X4,X5] :
( sk_c6 != multiply(sk_c5,sk_c4)
| sk_c4 != multiply(X3,sk_c6)
| sk_c5 != inverse(X5)
| sk_c6 != multiply(X4,sk_c5)
| multiply(sk_c6,sk_c5) != sk_c4
| sk_c5 != multiply(X5,sk_c4)
| sk_c4 != multiply(sk_c5,sk_c6)
| sk_c6 != inverse(X4)
| sk_c4 != inverse(sk_c6)
| sk_c6 != inverse(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f123,plain,
( spl10_10
| spl10_8 ),
inference(avatar_split_clause,[],[f40,f99,f113]) ).
fof(f40,plain,
( sk_c5 = sF5
| sk_c4 = sF6 ),
inference(definition_folding,[],[f17,f39,f38]) ).
fof(f17,axiom,
( sk_c5 = inverse(sk_c3)
| sk_c4 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f122,plain,
( spl10_6
| spl10_3 ),
inference(avatar_split_clause,[],[f32,f76,f90]) ).
fof(f32,plain,
( sk_c4 = sF1
| sk_c4 = sF0 ),
inference(definition_folding,[],[f4,f31,f30]) ).
fof(f4,axiom,
( sk_c4 = multiply(sk_c5,sk_c6)
| multiply(sk_c6,sk_c5) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f120,plain,
( spl10_7
| spl10_9 ),
inference(avatar_split_clause,[],[f56,f106,f95]) ).
fof(f56,plain,
( sk_c6 = sF7
| sk_c4 = sF9 ),
inference(definition_folding,[],[f21,f41,f46]) ).
fof(f21,axiom,
( sk_c4 = multiply(sk_c1,sk_c6)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f119,plain,
( spl10_5
| spl10_1 ),
inference(avatar_split_clause,[],[f64,f67,f86]) ).
fof(f64,plain,
( sk_c5 = sF4
| sk_c6 = sF8 ),
inference(definition_folding,[],[f28,f36,f43]) ).
fof(f28,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c5 = multiply(sk_c3,sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f118,plain,
( spl10_8
| spl10_3 ),
inference(avatar_split_clause,[],[f59,f76,f99]) ).
fof(f59,plain,
( sk_c4 = sF1
| sk_c5 = sF5 ),
inference(definition_folding,[],[f7,f38,f31]) ).
fof(f7,axiom,
( multiply(sk_c6,sk_c5) = sk_c4
| sk_c5 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f117,plain,
( spl10_10
| spl10_9 ),
inference(avatar_split_clause,[],[f50,f106,f113]) ).
fof(f50,plain,
( sk_c6 = sF7
| sk_c4 = sF6 ),
inference(definition_folding,[],[f16,f39,f41]) ).
fof(f16,axiom,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c4 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f116,plain,
( spl10_6
| spl10_10 ),
inference(avatar_split_clause,[],[f58,f113,f90]) ).
fof(f58,plain,
( sk_c4 = sF6
| sk_c4 = sF0 ),
inference(definition_folding,[],[f14,f30,f39]) ).
fof(f14,axiom,
( sk_c4 = inverse(sk_c6)
| sk_c4 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f111,plain,
( spl10_3
| spl10_9 ),
inference(avatar_split_clause,[],[f62,f106,f76]) ).
fof(f62,plain,
( sk_c6 = sF7
| sk_c4 = sF1 ),
inference(definition_folding,[],[f6,f41,f31]) ).
fof(f6,axiom,
( multiply(sk_c6,sk_c5) = sk_c4
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f109,plain,
( spl10_9
| spl10_2 ),
inference(avatar_split_clause,[],[f42,f71,f106]) ).
fof(f42,plain,
( sk_c6 = sF2
| sk_c6 = sF7 ),
inference(definition_folding,[],[f11,f41,f33]) ).
fof(f11,axiom,
( sk_c6 = multiply(sk_c5,sk_c4)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f104,plain,
( spl10_4
| spl10_7 ),
inference(avatar_split_clause,[],[f49,f95,f80]) ).
fof(f49,plain,
( sk_c4 = sF9
| sk_c6 = sF3 ),
inference(definition_folding,[],[f20,f34,f46]) ).
fof(f20,axiom,
( sk_c4 = multiply(sk_c1,sk_c6)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f103,plain,
( spl10_2
| spl10_8 ),
inference(avatar_split_clause,[],[f45,f99,f71]) ).
fof(f45,plain,
( sk_c5 = sF5
| sk_c6 = sF2 ),
inference(definition_folding,[],[f12,f38,f33]) ).
fof(f12,axiom,
( sk_c6 = multiply(sk_c5,sk_c4)
| sk_c5 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f102,plain,
( spl10_7
| spl10_8 ),
inference(avatar_split_clause,[],[f47,f99,f95]) ).
fof(f47,plain,
( sk_c5 = sF5
| sk_c4 = sF9 ),
inference(definition_folding,[],[f22,f46,f38]) ).
fof(f22,axiom,
( sk_c5 = inverse(sk_c3)
| sk_c4 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f93,plain,
( spl10_5
| spl10_6 ),
inference(avatar_split_clause,[],[f44,f90,f86]) ).
fof(f44,plain,
( sk_c4 = sF0
| sk_c6 = sF8 ),
inference(definition_folding,[],[f24,f43,f30]) ).
fof(f24,axiom,
( sk_c4 = multiply(sk_c5,sk_c6)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f84,plain,
( spl10_1
| spl10_3 ),
inference(avatar_split_clause,[],[f52,f76,f67]) ).
fof(f52,plain,
( sk_c4 = sF1
| sk_c5 = sF4 ),
inference(definition_folding,[],[f8,f31,f36]) ).
fof(f8,axiom,
( sk_c5 = multiply(sk_c3,sk_c4)
| multiply(sk_c6,sk_c5) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f83,plain,
( spl10_3
| spl10_4 ),
inference(avatar_split_clause,[],[f48,f80,f76]) ).
fof(f48,plain,
( sk_c6 = sF3
| sk_c4 = sF1 ),
inference(definition_folding,[],[f5,f31,f34]) ).
fof(f5,axiom,
( sk_c6 = inverse(sk_c2)
| multiply(sk_c6,sk_c5) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f74,plain,
( spl10_1
| spl10_2 ),
inference(avatar_split_clause,[],[f37,f71,f67]) ).
fof(f37,plain,
( sk_c6 = sF2
| sk_c5 = sF4 ),
inference(definition_folding,[],[f13,f33,f36]) ).
fof(f13,axiom,
( sk_c5 = multiply(sk_c3,sk_c4)
| sk_c6 = multiply(sk_c5,sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP305-1 : TPTP v8.1.0. Released v2.5.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 22:32:03 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.54 % (4514)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)
% 0.20/0.54 % (4496)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)
% 0.20/0.55 % (4506)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)
% 0.20/0.55 % (4497)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)
% 0.20/0.55 % (4497)Instruction limit reached!
% 0.20/0.55 % (4497)------------------------------
% 0.20/0.55 % (4497)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (4497)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (4497)Termination reason: Unknown
% 0.20/0.55 % (4497)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (4497)Memory used [KB]: 5884
% 0.20/0.55 % (4497)Time elapsed: 0.005 s
% 0.20/0.55 % (4497)Instructions burned: 3 (million)
% 0.20/0.55 % (4497)------------------------------
% 0.20/0.55 % (4497)------------------------------
% 0.20/0.55 % (4495)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)
% 0.20/0.55 % (4506)Instruction limit reached!
% 0.20/0.55 % (4506)------------------------------
% 0.20/0.55 % (4506)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (4506)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (4506)Termination reason: Unknown
% 0.20/0.55 % (4506)Termination phase: Property scanning
% 0.20/0.55
% 0.20/0.55 % (4506)Memory used [KB]: 1279
% 0.20/0.55 % (4506)Time elapsed: 0.004 s
% 0.20/0.55 % (4506)Instructions burned: 2 (million)
% 0.20/0.55 % (4506)------------------------------
% 0.20/0.55 % (4506)------------------------------
% 0.20/0.56 % (4505)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)
% 0.20/0.56 % (4513)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)
% 0.20/0.56 % (4512)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)
% 0.20/0.56 % (4505)Instruction limit reached!
% 0.20/0.56 % (4505)------------------------------
% 0.20/0.56 % (4505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (4505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (4505)Termination reason: Unknown
% 0.20/0.56 % (4505)Termination phase: Finite model building preprocessing
% 0.20/0.56
% 0.20/0.56 % (4505)Memory used [KB]: 6012
% 0.20/0.56 % (4505)Time elapsed: 0.006 s
% 0.20/0.56 % (4505)Instructions burned: 6 (million)
% 0.20/0.56 % (4505)------------------------------
% 0.20/0.56 % (4505)------------------------------
% 0.20/0.57 % (4513)Refutation not found, incomplete strategy% (4513)------------------------------
% 0.20/0.57 % (4513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (4513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (4513)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57
% 0.20/0.57 % (4513)Memory used [KB]: 5884
% 0.20/0.57 % (4513)Time elapsed: 0.120 s
% 0.20/0.57 % (4513)Instructions burned: 3 (million)
% 0.20/0.57 % (4513)------------------------------
% 0.20/0.57 % (4513)------------------------------
% 0.20/0.57 % (4504)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)
% 0.20/0.60 % (4510)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)
% 0.20/0.60 % (4493)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)
% 1.71/0.60 % (4493)Refutation not found, incomplete strategy% (4493)------------------------------
% 1.71/0.60 % (4493)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.60 % (4493)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.60 % (4493)Termination reason: Refutation not found, incomplete strategy
% 1.71/0.60
% 1.71/0.60 % (4493)Memory used [KB]: 5884
% 1.71/0.60 % (4493)Time elapsed: 0.167 s
% 1.71/0.60 % (4493)Instructions burned: 3 (million)
% 1.71/0.60 % (4493)------------------------------
% 1.71/0.60 % (4493)------------------------------
% 1.71/0.60 % (4503)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)
% 1.71/0.60 % (4514)Instruction limit reached!
% 1.71/0.60 % (4514)------------------------------
% 1.71/0.60 % (4514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.60 % (4514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.60 % (4514)Termination reason: Unknown
% 1.71/0.60 % (4514)Termination phase: Saturation
% 1.71/0.60
% 1.71/0.60 % (4514)Memory used [KB]: 6908
% 1.71/0.60 % (4514)Time elapsed: 0.179 s
% 1.71/0.60 % (4514)Instructions burned: 46 (million)
% 1.71/0.60 % (4514)------------------------------
% 1.71/0.60 % (4514)------------------------------
% 1.71/0.61 % (4503)Instruction limit reached!
% 1.71/0.61 % (4503)------------------------------
% 1.71/0.61 % (4503)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.61 % (4503)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.61 % (4503)Termination reason: Unknown
% 1.71/0.61 % (4503)Termination phase: Saturation
% 1.71/0.61
% 1.71/0.61 % (4503)Memory used [KB]: 5884
% 1.71/0.61 % (4503)Time elapsed: 0.003 s
% 1.71/0.61 % (4503)Instructions burned: 3 (million)
% 1.71/0.61 % (4503)------------------------------
% 1.71/0.61 % (4503)------------------------------
% 1.71/0.61 % (4502)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)
% 1.71/0.61 % (4492)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)
% 1.71/0.61 % (4502)Instruction limit reached!
% 1.71/0.61 % (4502)------------------------------
% 1.71/0.61 % (4502)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.61 % (4502)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.61 % (4502)Termination reason: Unknown
% 1.71/0.61 % (4502)Termination phase: Saturation
% 1.71/0.61
% 1.71/0.61 % (4502)Memory used [KB]: 5884
% 1.71/0.61 % (4502)Time elapsed: 0.183 s
% 1.71/0.61 % (4502)Instructions burned: 5 (million)
% 1.71/0.61 % (4502)------------------------------
% 1.71/0.61 % (4502)------------------------------
% 1.71/0.61 % (4519)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)
% 1.71/0.61 % (4494)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.71/0.61 % (4491)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)
% 1.71/0.61 % (4518)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)
% 1.71/0.61 % (4491)Instruction limit reached!
% 1.71/0.61 % (4491)------------------------------
% 1.71/0.61 % (4491)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.61 % (4491)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.61 % (4491)Termination reason: Unknown
% 1.71/0.61 % (4491)Termination phase: Saturation
% 1.71/0.61
% 1.71/0.61 % (4491)Memory used [KB]: 5884
% 1.71/0.61 % (4491)Time elapsed: 0.175 s
% 1.71/0.61 % (4491)Instructions burned: 5 (million)
% 1.71/0.61 % (4491)------------------------------
% 1.71/0.61 % (4491)------------------------------
% 1.71/0.61 % (4515)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)
% 1.71/0.61 % (4504)Instruction limit reached!
% 1.71/0.61 % (4504)------------------------------
% 1.71/0.61 % (4504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.61 % (4504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.61 % (4504)Termination reason: Unknown
% 1.71/0.61 % (4504)Termination phase: Saturation
% 1.71/0.61
% 1.71/0.61 % (4504)Memory used [KB]: 1663
% 1.71/0.61 % (4504)Time elapsed: 0.179 s
% 1.71/0.61 % (4504)Instructions burned: 30 (million)
% 1.71/0.61 % (4504)------------------------------
% 1.71/0.61 % (4504)------------------------------
% 1.71/0.62 % (4508)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)
% 1.71/0.62 % (4500)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)
% 1.71/0.62 % (4499)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)
% 1.98/0.62 % (4492)Refutation not found, incomplete strategy% (4492)------------------------------
% 1.98/0.62 % (4492)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.62 % (4492)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.62 % (4492)Termination reason: Refutation not found, incomplete strategy
% 1.98/0.62
% 1.98/0.62 % (4492)Memory used [KB]: 5884
% 1.98/0.62 % (4492)Time elapsed: 0.191 s
% 1.98/0.62 % (4492)Instructions burned: 5 (million)
% 1.98/0.62 % (4492)------------------------------
% 1.98/0.62 % (4492)------------------------------
% 1.98/0.62 % (4500)Instruction limit reached!
% 1.98/0.62 % (4500)------------------------------
% 1.98/0.62 % (4500)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.62 % (4500)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.62 % (4500)Termination reason: Unknown
% 1.98/0.62 % (4500)Termination phase: Saturation
% 1.98/0.62
% 1.98/0.62 % (4500)Memory used [KB]: 6012
% 1.98/0.62 % (4500)Time elapsed: 0.189 s
% 1.98/0.62 % (4500)Instructions burned: 7 (million)
% 1.98/0.62 % (4500)------------------------------
% 1.98/0.62 % (4500)------------------------------
% 1.98/0.62 % (4516)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)
% 1.98/0.62 % (4507)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.98/0.63 % (4511)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)
% 1.98/0.63 % (4511)Refutation not found, incomplete strategy% (4511)------------------------------
% 1.98/0.63 % (4511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.63 % (4511)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.63 % (4511)Termination reason: Refutation not found, incomplete strategy
% 1.98/0.63
% 1.98/0.63 % (4511)Memory used [KB]: 5884
% 1.98/0.63 % (4511)Time elapsed: 0.197 s
% 1.98/0.63 % (4511)Instructions burned: 4 (million)
% 1.98/0.63 % (4511)------------------------------
% 1.98/0.63 % (4511)------------------------------
% 1.98/0.63 % (4507)Instruction limit reached!
% 1.98/0.63 % (4507)------------------------------
% 1.98/0.63 % (4507)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.63 % (4509)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)
% 1.98/0.63 % (4494)Instruction limit reached!
% 1.98/0.63 % (4494)------------------------------
% 1.98/0.63 % (4494)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.63 % (4494)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.63 % (4494)Termination reason: Unknown
% 1.98/0.63 % (4494)Termination phase: Saturation
% 1.98/0.63
% 1.98/0.63 % (4494)Memory used [KB]: 6140
% 1.98/0.63 % (4494)Time elapsed: 0.188 s
% 1.98/0.63 % (4494)Instructions burned: 25 (million)
% 1.98/0.63 % (4494)------------------------------
% 1.98/0.63 % (4494)------------------------------
% 1.98/0.63 % (4490)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)
% 1.98/0.63 % (4495)Instruction limit reached!
% 1.98/0.63 % (4495)------------------------------
% 1.98/0.63 % (4495)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.63 % (4495)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.63 % (4495)Termination reason: Unknown
% 1.98/0.63 % (4495)Termination phase: Saturation
% 1.98/0.63
% 1.98/0.63 % (4495)Memory used [KB]: 1663
% 1.98/0.63 % (4495)Time elapsed: 0.198 s
% 1.98/0.63 % (4495)Instructions burned: 49 (million)
% 1.98/0.63 % (4495)------------------------------
% 1.98/0.63 % (4495)------------------------------
% 1.98/0.63 % (4518)Instruction limit reached!
% 1.98/0.63 % (4518)------------------------------
% 1.98/0.63 % (4518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.63 % (4509)Instruction limit reached!
% 1.98/0.63 % (4509)------------------------------
% 1.98/0.63 % (4509)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.64 % (4489)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.98/0.64 % (4510)Instruction limit reached!
% 1.98/0.64 % (4510)------------------------------
% 1.98/0.64 % (4510)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.64 % (4510)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.64 % (4510)Termination reason: Unknown
% 1.98/0.64 % (4510)Termination phase: Saturation
% 1.98/0.64
% 1.98/0.64 % (4510)Memory used [KB]: 1407
% 1.98/0.64 % (4510)Time elapsed: 0.209 s
% 1.98/0.64 % (4510)Instructions burned: 7 (million)
% 1.98/0.64 % (4510)------------------------------
% 1.98/0.64 % (4510)------------------------------
% 1.98/0.64 % (4518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.64 % (4518)Termination reason: Unknown
% 1.98/0.64 % (4518)Termination phase: Saturation
% 1.98/0.64
% 1.98/0.64 % (4518)Memory used [KB]: 6268
% 1.98/0.64 % (4518)Time elapsed: 0.191 s
% 1.98/0.64 % (4518)Instructions burned: 22 (million)
% 1.98/0.64 % (4518)------------------------------
% 1.98/0.64 % (4518)------------------------------
% 1.98/0.64 % (4517)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)
% 1.98/0.64 % (4496)Instruction limit reached!
% 1.98/0.64 % (4496)------------------------------
% 1.98/0.64 % (4496)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.64 % (4496)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.64 % (4496)Termination reason: Unknown
% 1.98/0.64 % (4496)Termination phase: Saturation
% 1.98/0.64
% 1.98/0.64 % (4496)Memory used [KB]: 6908
% 1.98/0.64 % (4496)Time elapsed: 0.203 s
% 1.98/0.64 % (4496)Instructions burned: 52 (million)
% 1.98/0.64 % (4496)------------------------------
% 1.98/0.64 % (4496)------------------------------
% 1.98/0.64 % (4517)Refutation not found, incomplete strategy% (4517)------------------------------
% 1.98/0.64 % (4517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.64 % (4517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.64 % (4517)Termination reason: Refutation not found, incomplete strategy
% 1.98/0.64
% 1.98/0.64 % (4517)Memory used [KB]: 1407
% 1.98/0.64 % (4517)Time elapsed: 0.212 s
% 1.98/0.64 % (4517)Instructions burned: 9 (million)
% 1.98/0.64 % (4517)------------------------------
% 1.98/0.64 % (4517)------------------------------
% 1.98/0.65 % (4501)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)
% 1.98/0.65 % (4507)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.65 % (4507)Termination reason: Unknown
% 1.98/0.65 % (4507)Termination phase: Saturation
% 1.98/0.65
% 1.98/0.65 % (4507)Memory used [KB]: 6012
% 1.98/0.65 % (4507)Time elapsed: 0.167 s
% 1.98/0.65 % (4507)Instructions burned: 9 (million)
% 1.98/0.65 % (4507)------------------------------
% 1.98/0.65 % (4507)------------------------------
% 1.98/0.65 % (4508)Refutation not found, incomplete strategy% (4508)------------------------------
% 1.98/0.65 % (4508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.65 % (4508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.65 % (4508)Termination reason: Refutation not found, incomplete strategy
% 1.98/0.65
% 1.98/0.65 % (4508)Memory used [KB]: 10618
% 1.98/0.65 % (4508)Time elapsed: 0.209 s
% 1.98/0.65 % (4508)Instructions burned: 21 (million)
% 1.98/0.65 % (4508)------------------------------
% 1.98/0.65 % (4508)------------------------------
% 1.98/0.66 % (4509)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.66 % (4509)Termination reason: Unknown
% 1.98/0.66 % (4509)Termination phase: Saturation
% 1.98/0.66
% 1.98/0.66 % (4509)Memory used [KB]: 6012
% 1.98/0.66 % (4509)Time elapsed: 0.206 s
% 1.98/0.66 % (4509)Instructions burned: 8 (million)
% 1.98/0.66 % (4509)------------------------------
% 1.98/0.66 % (4509)------------------------------
% 1.98/0.67 % (4527)lrs+4_1:1_fde=unused:sos=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 1.98/0.67 % (4489)First to succeed.
% 2.29/0.68 % (4489)Refutation found. Thanks to Tanya!
% 2.29/0.68 % SZS status Unsatisfiable for theBenchmark
% 2.29/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 2.29/0.68 % (4489)------------------------------
% 2.29/0.68 % (4489)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.68 % (4489)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.68 % (4489)Termination reason: Refutation
% 2.29/0.68
% 2.29/0.68 % (4489)Memory used [KB]: 6268
% 2.29/0.68 % (4489)Time elapsed: 0.224 s
% 2.29/0.68 % (4489)Instructions burned: 25 (million)
% 2.29/0.68 % (4489)------------------------------
% 2.29/0.68 % (4489)------------------------------
% 2.29/0.68 % (4488)Success in time 0.302 s
%------------------------------------------------------------------------------