TSTP Solution File: GRP344-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP344-1 : 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 : n025.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 16:15:27 EDT 2022
% Result : Unsatisfiable 1.54s 0.57s
% Output : Refutation 1.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 53
% Syntax : Number of formulae : 244 ( 24 unt; 0 def)
% Number of atoms : 745 ( 265 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 978 ( 477 ~; 477 |; 0 &)
% ( 24 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 25 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 17 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f836,plain,
$false,
inference(avatar_sat_refutation,[],[f57,f62,f67,f72,f73,f78,f83,f88,f105,f106,f107,f108,f109,f111,f112,f113,f114,f145,f154,f193,f202,f270,f319,f365,f378,f379,f464,f613,f618,f659,f666,f698,f699,f734,f743,f748,f761,f762,f765,f783,f785,f791,f799,f813]) ).
fof(f813,plain,
( spl9_28
| ~ spl9_4
| ~ spl9_17
| ~ spl9_20 ),
inference(avatar_split_clause,[],[f812,f160,f147,f64,f727]) ).
fof(f727,plain,
( spl9_28
<=> identity = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_28])]) ).
fof(f64,plain,
( spl9_4
<=> sk_c6 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).
fof(f147,plain,
( spl9_17
<=> identity = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_17])]) ).
fof(f160,plain,
( spl9_20
<=> sk_c6 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_20])]) ).
fof(f812,plain,
( identity = inverse(sk_c2)
| ~ spl9_4
| ~ spl9_17
| ~ spl9_20 ),
inference(backward_demodulation,[],[f31,f808]) ).
fof(f808,plain,
( identity = sF5
| ~ spl9_4
| ~ spl9_17
| ~ spl9_20 ),
inference(forward_demodulation,[],[f66,f669]) ).
fof(f669,plain,
( identity = sk_c6
| ~ spl9_17
| ~ spl9_20 ),
inference(backward_demodulation,[],[f161,f148]) ).
fof(f148,plain,
( identity = sk_c7
| ~ spl9_17 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f161,plain,
( sk_c6 = sk_c7
| ~ spl9_20 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f66,plain,
( sk_c6 = sF5
| ~ spl9_4 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f31,plain,
inverse(sk_c2) = sF5,
introduced(function_definition,[]) ).
fof(f799,plain,
( spl9_31
| ~ spl9_8
| ~ spl9_17 ),
inference(avatar_split_clause,[],[f798,f147,f85,f740]) ).
fof(f740,plain,
( spl9_31
<=> identity = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_31])]) ).
fof(f85,plain,
( spl9_8
<=> sk_c7 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_8])]) ).
fof(f798,plain,
( identity = sF8
| ~ spl9_8
| ~ spl9_17 ),
inference(forward_demodulation,[],[f87,f148]) ).
fof(f87,plain,
( sk_c7 = sF8
| ~ spl9_8 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f791,plain,
( spl9_30
| ~ spl9_7
| ~ spl9_17 ),
inference(avatar_split_clause,[],[f790,f147,f80,f736]) ).
fof(f736,plain,
( spl9_30
<=> identity = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_30])]) ).
fof(f80,plain,
( spl9_7
<=> sk_c7 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_7])]) ).
fof(f790,plain,
( identity = inverse(sk_c1)
| ~ spl9_7
| ~ spl9_17 ),
inference(backward_demodulation,[],[f27,f786]) ).
fof(f786,plain,
( identity = sF3
| ~ spl9_7
| ~ spl9_17 ),
inference(forward_demodulation,[],[f82,f148]) ).
fof(f82,plain,
( sk_c7 = sF3
| ~ spl9_7 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f27,plain,
inverse(sk_c1) = sF3,
introduced(function_definition,[]) ).
fof(f785,plain,
( spl9_29
| ~ spl9_2
| ~ spl9_17
| ~ spl9_20 ),
inference(avatar_split_clause,[],[f784,f160,f147,f54,f731]) ).
fof(f731,plain,
( spl9_29
<=> identity = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_29])]) ).
fof(f54,plain,
( spl9_2
<=> sk_c6 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f784,plain,
( identity = sF0
| ~ spl9_2
| ~ spl9_17
| ~ spl9_20 ),
inference(forward_demodulation,[],[f56,f669]) ).
fof(f56,plain,
( sk_c6 = sF0
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f783,plain,
( ~ spl9_1
| ~ spl9_17
| spl9_18
| ~ spl9_20 ),
inference(avatar_contradiction_clause,[],[f782]) ).
fof(f782,plain,
( $false
| ~ spl9_1
| ~ spl9_17
| spl9_18
| ~ spl9_20 ),
inference(subsumption_resolution,[],[f781,f148]) ).
fof(f781,plain,
( identity != sk_c7
| ~ spl9_1
| ~ spl9_17
| spl9_18
| ~ spl9_20 ),
inference(forward_demodulation,[],[f780,f694]) ).
fof(f694,plain,
( identity = inverse(identity)
| ~ spl9_1
| ~ spl9_17
| ~ spl9_20 ),
inference(backward_demodulation,[],[f675,f690]) ).
fof(f690,plain,
( identity = sk_c3
| ~ spl9_1
| ~ spl9_17
| ~ spl9_20 ),
inference(forward_demodulation,[],[f674,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f674,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl9_1
| ~ spl9_17
| ~ spl9_20 ),
inference(backward_demodulation,[],[f531,f669]) ).
fof(f531,plain,
( sk_c3 = multiply(inverse(sk_c6),identity)
| ~ spl9_1 ),
inference(backward_demodulation,[],[f237,f52]) ).
fof(f52,plain,
( sk_c6 = sF1
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl9_1
<=> sk_c6 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f237,plain,
sk_c3 = multiply(inverse(sF1),identity),
inference(superposition,[],[f218,f121]) ).
fof(f121,plain,
identity = multiply(sF1,sk_c3),
inference(superposition,[],[f2,f23]) ).
fof(f23,plain,
inverse(sk_c3) = sF1,
introduced(function_definition,[]) ).
fof(f218,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f205,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f205,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
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(f675,plain,
( identity = inverse(sk_c3)
| ~ spl9_1
| ~ spl9_17
| ~ spl9_20 ),
inference(backward_demodulation,[],[f532,f669]) ).
fof(f532,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl9_1 ),
inference(backward_demodulation,[],[f23,f52]) ).
fof(f780,plain,
( sk_c7 != inverse(identity)
| ~ spl9_1
| ~ spl9_17
| spl9_18
| ~ spl9_20 ),
inference(forward_demodulation,[],[f779,f694]) ).
fof(f779,plain,
( sk_c7 != inverse(inverse(identity))
| ~ spl9_17
| spl9_18
| ~ spl9_20 ),
inference(forward_demodulation,[],[f153,f669]) ).
fof(f153,plain,
( sk_c7 != inverse(inverse(sk_c6))
| spl9_18 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl9_18
<=> sk_c7 = inverse(inverse(sk_c6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_18])]) ).
fof(f765,plain,
( ~ spl9_1
| ~ spl9_13
| ~ spl9_17
| ~ spl9_20
| ~ spl9_27 ),
inference(avatar_contradiction_clause,[],[f764]) ).
fof(f764,plain,
( $false
| ~ spl9_1
| ~ spl9_13
| ~ spl9_17
| ~ spl9_20
| ~ spl9_27 ),
inference(subsumption_resolution,[],[f763,f694]) ).
fof(f763,plain,
( identity != inverse(identity)
| ~ spl9_1
| ~ spl9_13
| ~ spl9_17
| ~ spl9_20
| ~ spl9_27 ),
inference(forward_demodulation,[],[f757,f694]) ).
fof(f757,plain,
( identity != inverse(inverse(identity))
| ~ spl9_13
| ~ spl9_17
| ~ spl9_20
| ~ spl9_27 ),
inference(trivial_inequality_removal,[],[f754]) ).
fof(f754,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl9_13
| ~ spl9_17
| ~ spl9_20
| ~ spl9_27 ),
inference(superposition,[],[f751,f2]) ).
fof(f751,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl9_13
| ~ spl9_17
| ~ spl9_20
| ~ spl9_27 ),
inference(forward_demodulation,[],[f750,f669]) ).
fof(f750,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| sk_c6 != inverse(X4) )
| ~ spl9_13
| ~ spl9_17
| ~ spl9_20
| ~ spl9_27 ),
inference(forward_demodulation,[],[f749,f669]) ).
fof(f749,plain,
( ! [X4] :
( sk_c6 != multiply(X4,identity)
| sk_c6 != inverse(X4) )
| ~ spl9_13
| ~ spl9_27 ),
inference(forward_demodulation,[],[f104,f200]) ).
fof(f200,plain,
( identity = sk_c5
| ~ spl9_27 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f199,plain,
( spl9_27
<=> identity = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_27])]) ).
fof(f104,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c6 != multiply(X4,sk_c5) )
| ~ spl9_13 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl9_13
<=> ! [X4] :
( sk_c6 != inverse(X4)
| sk_c6 != multiply(X4,sk_c5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_13])]) ).
fof(f762,plain,
( ~ spl9_30
| ~ spl9_31
| ~ spl9_13
| ~ spl9_17
| ~ spl9_20
| ~ spl9_27 ),
inference(avatar_split_clause,[],[f755,f199,f160,f147,f103,f740,f736]) ).
fof(f755,plain,
( identity != sF8
| identity != inverse(sk_c1)
| ~ spl9_13
| ~ spl9_17
| ~ spl9_20
| ~ spl9_27 ),
inference(superposition,[],[f751,f670]) ).
fof(f670,plain,
( multiply(sk_c1,identity) = sF8
| ~ spl9_17
| ~ spl9_20 ),
inference(backward_demodulation,[],[f41,f669]) ).
fof(f41,plain,
multiply(sk_c1,sk_c6) = sF8,
introduced(function_definition,[]) ).
fof(f761,plain,
( ~ spl9_28
| ~ spl9_29
| ~ spl9_13
| ~ spl9_17
| ~ spl9_20
| ~ spl9_21
| ~ spl9_27 ),
inference(avatar_split_clause,[],[f756,f199,f172,f160,f147,f103,f731,f727]) ).
fof(f172,plain,
( spl9_21
<=> sk_c6 = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_21])]) ).
fof(f756,plain,
( identity != sF0
| identity != inverse(sk_c2)
| ~ spl9_13
| ~ spl9_17
| ~ spl9_20
| ~ spl9_21
| ~ spl9_27 ),
inference(superposition,[],[f751,f685]) ).
fof(f685,plain,
( sF0 = multiply(sk_c2,identity)
| ~ spl9_17
| ~ spl9_20
| ~ spl9_21 ),
inference(backward_demodulation,[],[f664,f669]) ).
fof(f664,plain,
( multiply(sk_c2,sk_c6) = sF0
| ~ spl9_21 ),
inference(forward_demodulation,[],[f22,f173]) ).
fof(f173,plain,
( sk_c6 = sk_c5
| ~ spl9_21 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f22,plain,
multiply(sk_c2,sk_c5) = sF0,
introduced(function_definition,[]) ).
fof(f748,plain,
( ~ spl9_1
| ~ spl9_12
| ~ spl9_17
| ~ spl9_20 ),
inference(avatar_contradiction_clause,[],[f747]) ).
fof(f747,plain,
( $false
| ~ spl9_1
| ~ spl9_12
| ~ spl9_17
| ~ spl9_20 ),
inference(subsumption_resolution,[],[f724,f694]) ).
fof(f724,plain,
( identity != inverse(identity)
| ~ spl9_12
| ~ spl9_17
| ~ spl9_20 ),
inference(trivial_inequality_removal,[],[f719]) ).
fof(f719,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl9_12
| ~ spl9_17
| ~ spl9_20 ),
inference(superposition,[],[f689,f1]) ).
fof(f689,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl9_12
| ~ spl9_17
| ~ spl9_20 ),
inference(forward_demodulation,[],[f684,f669]) ).
fof(f684,plain,
( ! [X5] :
( sk_c6 != multiply(X5,sk_c6)
| identity != inverse(X5) )
| ~ spl9_12
| ~ spl9_17
| ~ spl9_20 ),
inference(backward_demodulation,[],[f661,f669]) ).
fof(f661,plain,
( ! [X5] :
( sk_c6 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) )
| ~ spl9_12
| ~ spl9_20 ),
inference(backward_demodulation,[],[f101,f161]) ).
fof(f101,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) )
| ~ spl9_12 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f100,plain,
( spl9_12
<=> ! [X5] :
( sk_c6 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_12])]) ).
fof(f743,plain,
( ~ spl9_30
| ~ spl9_31
| ~ spl9_12
| ~ spl9_17
| ~ spl9_20 ),
inference(avatar_split_clause,[],[f722,f160,f147,f100,f740,f736]) ).
fof(f722,plain,
( identity != sF8
| identity != inverse(sk_c1)
| ~ spl9_12
| ~ spl9_17
| ~ spl9_20 ),
inference(superposition,[],[f689,f670]) ).
fof(f734,plain,
( ~ spl9_28
| ~ spl9_29
| ~ spl9_12
| ~ spl9_17
| ~ spl9_20
| ~ spl9_21 ),
inference(avatar_split_clause,[],[f723,f172,f160,f147,f100,f731,f727]) ).
fof(f723,plain,
( identity != sF0
| identity != inverse(sk_c2)
| ~ spl9_12
| ~ spl9_17
| ~ spl9_20
| ~ spl9_21 ),
inference(superposition,[],[f689,f685]) ).
fof(f699,plain,
( spl9_27
| ~ spl9_17
| ~ spl9_20
| ~ spl9_21 ),
inference(avatar_split_clause,[],[f672,f172,f160,f147,f199]) ).
fof(f672,plain,
( identity = sk_c5
| ~ spl9_17
| ~ spl9_20
| ~ spl9_21 ),
inference(backward_demodulation,[],[f173,f669]) ).
fof(f698,plain,
( ~ spl9_1
| ~ spl9_17
| ~ spl9_20
| ~ spl9_21
| spl9_26 ),
inference(avatar_contradiction_clause,[],[f697]) ).
fof(f697,plain,
( $false
| ~ spl9_1
| ~ spl9_17
| ~ spl9_20
| ~ spl9_21
| spl9_26 ),
inference(subsumption_resolution,[],[f695,f694]) ).
fof(f695,plain,
( identity != inverse(identity)
| ~ spl9_1
| ~ spl9_17
| ~ spl9_20
| ~ spl9_21
| spl9_26 ),
inference(backward_demodulation,[],[f679,f694]) ).
fof(f679,plain,
( identity != inverse(inverse(identity))
| ~ spl9_17
| ~ spl9_20
| ~ spl9_21
| spl9_26 ),
inference(backward_demodulation,[],[f624,f669]) ).
fof(f624,plain,
( sk_c6 != inverse(inverse(sk_c6))
| ~ spl9_21
| spl9_26 ),
inference(backward_demodulation,[],[f197,f173]) ).
fof(f197,plain,
( sk_c5 != inverse(inverse(sk_c6))
| spl9_26 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f195,plain,
( spl9_26
<=> sk_c5 = inverse(inverse(sk_c6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_26])]) ).
fof(f666,plain,
( spl9_17
| ~ spl9_10
| ~ spl9_21 ),
inference(avatar_split_clause,[],[f648,f172,f93,f147]) ).
fof(f93,plain,
( spl9_10
<=> sk_c5 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_10])]) ).
fof(f648,plain,
( identity = sk_c7
| ~ spl9_10
| ~ spl9_21 ),
inference(forward_demodulation,[],[f627,f2]) ).
fof(f627,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl9_10
| ~ spl9_21 ),
inference(backward_demodulation,[],[f230,f173]) ).
fof(f230,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c5)
| ~ spl9_10 ),
inference(superposition,[],[f218,f118]) ).
fof(f118,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| ~ spl9_10 ),
inference(backward_demodulation,[],[f25,f94]) ).
fof(f94,plain,
( sk_c5 = sF2
| ~ spl9_10 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f25,plain,
multiply(sk_c6,sk_c7) = sF2,
introduced(function_definition,[]) ).
fof(f659,plain,
( spl9_20
| ~ spl9_1
| ~ spl9_3
| ~ spl9_5
| ~ spl9_6
| ~ spl9_21 ),
inference(avatar_split_clause,[],[f645,f172,f75,f69,f59,f50,f160]) ).
fof(f59,plain,
( spl9_3
<=> sk_c7 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).
fof(f69,plain,
( spl9_5
<=> sk_c5 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).
fof(f75,plain,
( spl9_6
<=> sk_c5 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_6])]) ).
fof(f645,plain,
( sk_c6 = sk_c7
| ~ spl9_1
| ~ spl9_3
| ~ spl9_5
| ~ spl9_6
| ~ spl9_21 ),
inference(backward_demodulation,[],[f601,f644]) ).
fof(f644,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| ~ spl9_1
| ~ spl9_5
| ~ spl9_6
| ~ spl9_21 ),
inference(forward_demodulation,[],[f632,f638]) ).
fof(f638,plain,
( sk_c3 = sk_c4
| ~ spl9_1
| ~ spl9_6
| ~ spl9_21 ),
inference(forward_demodulation,[],[f637,f531]) ).
fof(f637,plain,
( sk_c4 = multiply(inverse(sk_c6),identity)
| ~ spl9_6
| ~ spl9_21 ),
inference(backward_demodulation,[],[f617,f173]) ).
fof(f617,plain,
( sk_c4 = multiply(inverse(sk_c5),identity)
| ~ spl9_6 ),
inference(forward_demodulation,[],[f238,f77]) ).
fof(f77,plain,
( sk_c5 = sF7
| ~ spl9_6 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f238,plain,
sk_c4 = multiply(inverse(sF7),identity),
inference(superposition,[],[f218,f122]) ).
fof(f122,plain,
identity = multiply(sF7,sk_c4),
inference(superposition,[],[f2,f37]) ).
fof(f37,plain,
inverse(sk_c4) = sF7,
introduced(function_definition,[]) ).
fof(f632,plain,
( sk_c6 = multiply(sk_c4,sk_c6)
| ~ spl9_5
| ~ spl9_21 ),
inference(backward_demodulation,[],[f607,f173]) ).
fof(f607,plain,
( sk_c5 = multiply(sk_c4,sk_c6)
| ~ spl9_5 ),
inference(backward_demodulation,[],[f32,f71]) ).
fof(f71,plain,
( sk_c5 = sF6
| ~ spl9_5 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f32,plain,
multiply(sk_c4,sk_c6) = sF6,
introduced(function_definition,[]) ).
fof(f601,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl9_3 ),
inference(forward_demodulation,[],[f29,f61]) ).
fof(f61,plain,
( sk_c7 = sF4
| ~ spl9_3 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f29,plain,
multiply(sk_c3,sk_c6) = sF4,
introduced(function_definition,[]) ).
fof(f618,plain,
( spl9_25
| ~ spl9_6 ),
inference(avatar_split_clause,[],[f603,f75,f190]) ).
fof(f190,plain,
( spl9_25
<=> sk_c5 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_25])]) ).
fof(f603,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl9_6 ),
inference(backward_demodulation,[],[f37,f77]) ).
fof(f613,plain,
( spl9_21
| ~ spl9_1
| ~ spl9_3
| ~ spl9_10 ),
inference(avatar_split_clause,[],[f612,f93,f59,f50,f172]) ).
fof(f612,plain,
( sk_c6 = sk_c5
| ~ spl9_1
| ~ spl9_3
| ~ spl9_10 ),
inference(backward_demodulation,[],[f118,f611]) ).
fof(f611,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl9_1
| ~ spl9_3 ),
inference(forward_demodulation,[],[f610,f52]) ).
fof(f610,plain,
( sk_c6 = multiply(sF1,sk_c7)
| ~ spl9_3 ),
inference(forward_demodulation,[],[f243,f61]) ).
fof(f243,plain,
sk_c6 = multiply(sF1,sF4),
inference(forward_demodulation,[],[f234,f23]) ).
fof(f234,plain,
sk_c6 = multiply(inverse(sk_c3),sF4),
inference(superposition,[],[f218,f29]) ).
fof(f464,plain,
( ~ spl9_2
| ~ spl9_4
| ~ spl9_11
| ~ spl9_17
| ~ spl9_20
| ~ spl9_27 ),
inference(avatar_contradiction_clause,[],[f463]) ).
fof(f463,plain,
( $false
| ~ spl9_2
| ~ spl9_4
| ~ spl9_11
| ~ spl9_17
| ~ spl9_20
| ~ spl9_27 ),
inference(subsumption_resolution,[],[f461,f407]) ).
fof(f407,plain,
( identity != inverse(identity)
| ~ spl9_2
| ~ spl9_4
| ~ spl9_11
| ~ spl9_17
| ~ spl9_20
| ~ spl9_27 ),
inference(forward_demodulation,[],[f406,f200]) ).
fof(f406,plain,
( sk_c5 != inverse(identity)
| ~ spl9_2
| ~ spl9_4
| ~ spl9_11
| ~ spl9_17
| ~ spl9_20 ),
inference(forward_demodulation,[],[f268,f395]) ).
fof(f395,plain,
( identity = sk_c6
| ~ spl9_17
| ~ spl9_20 ),
inference(forward_demodulation,[],[f161,f148]) ).
fof(f268,plain,
( sk_c5 != inverse(sk_c6)
| ~ spl9_2
| ~ spl9_4
| ~ spl9_11 ),
inference(trivial_inequality_removal,[],[f265]) ).
fof(f265,plain,
( sk_c5 != sk_c5
| sk_c5 != inverse(sk_c6)
| ~ spl9_2
| ~ spl9_4
| ~ spl9_11 ),
inference(superposition,[],[f98,f244]) ).
fof(f244,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl9_2
| ~ spl9_4 ),
inference(forward_demodulation,[],[f236,f119]) ).
fof(f119,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl9_4 ),
inference(backward_demodulation,[],[f31,f66]) ).
fof(f236,plain,
( sk_c5 = multiply(inverse(sk_c2),sk_c6)
| ~ spl9_2 ),
inference(superposition,[],[f218,f116]) ).
fof(f116,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| ~ spl9_2 ),
inference(backward_demodulation,[],[f22,f56]) ).
fof(f98,plain,
( ! [X6] :
( sk_c5 != multiply(X6,sk_c6)
| sk_c5 != inverse(X6) )
| ~ spl9_11 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl9_11
<=> ! [X6] :
( sk_c5 != multiply(X6,sk_c6)
| sk_c5 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_11])]) ).
fof(f461,plain,
( identity = inverse(identity)
| ~ spl9_4
| ~ spl9_17
| ~ spl9_20 ),
inference(backward_demodulation,[],[f396,f458]) ).
fof(f458,plain,
( identity = sk_c2
| ~ spl9_4
| ~ spl9_17
| ~ spl9_20 ),
inference(forward_demodulation,[],[f457,f2]) ).
fof(f457,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl9_4
| ~ spl9_17
| ~ spl9_20 ),
inference(forward_demodulation,[],[f231,f395]) ).
fof(f231,plain,
( sk_c2 = multiply(inverse(sk_c6),identity)
| ~ spl9_4 ),
inference(superposition,[],[f218,f123]) ).
fof(f123,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl9_4 ),
inference(superposition,[],[f2,f119]) ).
fof(f396,plain,
( identity = inverse(sk_c2)
| ~ spl9_4
| ~ spl9_17
| ~ spl9_20 ),
inference(forward_demodulation,[],[f119,f395]) ).
fof(f379,plain,
( ~ spl9_27
| ~ spl9_7
| ~ spl9_8
| ~ spl9_11
| ~ spl9_20 ),
inference(avatar_split_clause,[],[f356,f160,f97,f85,f80,f199]) ).
fof(f356,plain,
( identity != sk_c5
| ~ spl9_7
| ~ spl9_8
| ~ spl9_11
| ~ spl9_20 ),
inference(forward_demodulation,[],[f278,f290]) ).
fof(f290,plain,
( identity = sk_c6
| ~ spl9_7
| ~ spl9_8
| ~ spl9_20 ),
inference(forward_demodulation,[],[f287,f2]) ).
fof(f287,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c6)
| ~ spl9_7
| ~ spl9_8
| ~ spl9_20 ),
inference(backward_demodulation,[],[f261,f161]) ).
fof(f261,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl9_7
| ~ spl9_8 ),
inference(superposition,[],[f218,f240]) ).
fof(f240,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl9_7
| ~ spl9_8 ),
inference(forward_demodulation,[],[f233,f117]) ).
fof(f117,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl9_7 ),
inference(backward_demodulation,[],[f27,f82]) ).
fof(f233,plain,
( sk_c6 = multiply(inverse(sk_c1),sk_c7)
| ~ spl9_8 ),
inference(superposition,[],[f218,f115]) ).
fof(f115,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl9_8 ),
inference(backward_demodulation,[],[f41,f87]) ).
fof(f278,plain,
( sk_c6 != sk_c5
| ~ spl9_7
| ~ spl9_8
| ~ spl9_11
| ~ spl9_20 ),
inference(backward_demodulation,[],[f170,f161]) ).
fof(f170,plain,
( sk_c7 != sk_c5
| ~ spl9_7
| ~ spl9_8
| ~ spl9_11 ),
inference(duplicate_literal_removal,[],[f169]) ).
fof(f169,plain,
( sk_c7 != sk_c5
| sk_c7 != sk_c5
| ~ spl9_7
| ~ spl9_8
| ~ spl9_11 ),
inference(forward_demodulation,[],[f166,f117]) ).
fof(f166,plain,
( sk_c7 != sk_c5
| sk_c5 != inverse(sk_c1)
| ~ spl9_8
| ~ spl9_11 ),
inference(superposition,[],[f98,f115]) ).
fof(f378,plain,
( ~ spl9_27
| ~ spl9_7
| ~ spl9_8
| ~ spl9_20
| spl9_21 ),
inference(avatar_split_clause,[],[f300,f172,f160,f85,f80,f199]) ).
fof(f300,plain,
( identity != sk_c5
| ~ spl9_7
| ~ spl9_8
| ~ spl9_20
| spl9_21 ),
inference(backward_demodulation,[],[f174,f290]) ).
fof(f174,plain,
( sk_c6 != sk_c5
| spl9_21 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f365,plain,
( ~ spl9_7
| ~ spl9_8
| ~ spl9_10
| ~ spl9_20
| spl9_27 ),
inference(avatar_contradiction_clause,[],[f364]) ).
fof(f364,plain,
( $false
| ~ spl9_7
| ~ spl9_8
| ~ spl9_10
| ~ spl9_20
| spl9_27 ),
inference(subsumption_resolution,[],[f363,f201]) ).
fof(f201,plain,
( identity != sk_c5
| spl9_27 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f363,plain,
( identity = sk_c5
| ~ spl9_7
| ~ spl9_8
| ~ spl9_10
| ~ spl9_20 ),
inference(forward_demodulation,[],[f362,f1]) ).
fof(f362,plain,
( sk_c5 = multiply(identity,identity)
| ~ spl9_7
| ~ spl9_8
| ~ spl9_10
| ~ spl9_20 ),
inference(forward_demodulation,[],[f276,f290]) ).
fof(f276,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl9_10
| ~ spl9_20 ),
inference(backward_demodulation,[],[f118,f161]) ).
fof(f319,plain,
( spl9_17
| ~ spl9_7
| ~ spl9_8
| ~ spl9_20 ),
inference(avatar_split_clause,[],[f299,f160,f85,f80,f147]) ).
fof(f299,plain,
( identity = sk_c7
| ~ spl9_7
| ~ spl9_8
| ~ spl9_20 ),
inference(backward_demodulation,[],[f161,f290]) ).
fof(f270,plain,
( spl9_20
| ~ spl9_2
| ~ spl9_4
| ~ spl9_10 ),
inference(avatar_split_clause,[],[f269,f93,f64,f54,f160]) ).
fof(f269,plain,
( sk_c6 = sk_c7
| ~ spl9_2
| ~ spl9_4
| ~ spl9_10 ),
inference(backward_demodulation,[],[f230,f266]) ).
fof(f266,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c5)
| ~ spl9_2
| ~ spl9_4 ),
inference(superposition,[],[f218,f244]) ).
fof(f202,plain,
( ~ spl9_26
| ~ spl9_27
| ~ spl9_11 ),
inference(avatar_split_clause,[],[f165,f97,f199,f195]) ).
fof(f165,plain,
( identity != sk_c5
| sk_c5 != inverse(inverse(sk_c6))
| ~ spl9_11 ),
inference(superposition,[],[f98,f2]) ).
fof(f193,plain,
( ~ spl9_5
| ~ spl9_25
| ~ spl9_11 ),
inference(avatar_split_clause,[],[f168,f97,f190,f69]) ).
fof(f168,plain,
( sk_c5 != inverse(sk_c4)
| sk_c5 != sF6
| ~ spl9_11 ),
inference(superposition,[],[f98,f32]) ).
fof(f154,plain,
( ~ spl9_17
| ~ spl9_18
| ~ spl9_9 ),
inference(avatar_split_clause,[],[f125,f90,f151,f147]) ).
fof(f90,plain,
( spl9_9
<=> ! [X3] :
( sk_c7 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_9])]) ).
fof(f125,plain,
( sk_c7 != inverse(inverse(sk_c6))
| identity != sk_c7
| ~ spl9_9 ),
inference(superposition,[],[f91,f2]) ).
fof(f91,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3) )
| ~ spl9_9 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f145,plain,
( ~ spl9_7
| ~ spl9_8
| ~ spl9_9 ),
inference(avatar_contradiction_clause,[],[f144]) ).
fof(f144,plain,
( $false
| ~ spl9_7
| ~ spl9_8
| ~ spl9_9 ),
inference(subsumption_resolution,[],[f129,f117]) ).
fof(f129,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl9_8
| ~ spl9_9 ),
inference(trivial_inequality_removal,[],[f126]) ).
fof(f126,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c1)
| ~ spl9_8
| ~ spl9_9 ),
inference(superposition,[],[f91,f115]) ).
fof(f114,plain,
( spl9_8
| spl9_1 ),
inference(avatar_split_clause,[],[f43,f50,f85]) ).
fof(f43,plain,
( sk_c6 = sF1
| sk_c7 = sF8 ),
inference(definition_folding,[],[f10,f23,f41]) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f113,plain,
( spl9_5
| spl9_8 ),
inference(avatar_split_clause,[],[f42,f85,f69]) ).
fof(f42,plain,
( sk_c7 = sF8
| sk_c5 = sF6 ),
inference(definition_folding,[],[f12,f41,f32]) ).
fof(f12,axiom,
( sk_c5 = multiply(sk_c4,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f112,plain,
( spl9_6
| spl9_4 ),
inference(avatar_split_clause,[],[f48,f64,f75]) ).
fof(f48,plain,
( sk_c6 = sF5
| sk_c5 = sF7 ),
inference(definition_folding,[],[f15,f31,f37]) ).
fof(f15,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f111,plain,
( spl9_7
| spl9_3 ),
inference(avatar_split_clause,[],[f30,f59,f80]) ).
fof(f30,plain,
( sk_c7 = sF4
| sk_c7 = sF3 ),
inference(definition_folding,[],[f5,f29,f27]) ).
fof(f5,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f109,plain,
( spl9_4
| spl9_3 ),
inference(avatar_split_clause,[],[f34,f59,f64]) ).
fof(f34,plain,
( sk_c7 = sF4
| sk_c6 = sF5 ),
inference(definition_folding,[],[f13,f31,f29]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f108,plain,
spl9_10,
inference(avatar_split_clause,[],[f26,f93]) ).
fof(f26,plain,
sk_c5 = sF2,
inference(definition_folding,[],[f4,f25]) ).
fof(f4,axiom,
multiply(sk_c6,sk_c7) = sk_c5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f107,plain,
( spl9_7
| spl9_1 ),
inference(avatar_split_clause,[],[f28,f50,f80]) ).
fof(f28,plain,
( sk_c6 = sF1
| sk_c7 = sF3 ),
inference(definition_folding,[],[f6,f27,f23]) ).
fof(f6,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f106,plain,
( spl9_3
| spl9_8 ),
inference(avatar_split_clause,[],[f46,f85,f59]) ).
fof(f46,plain,
( sk_c7 = sF8
| sk_c7 = sF4 ),
inference(definition_folding,[],[f9,f41,f29]) ).
fof(f9,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f105,plain,
( spl9_9
| ~ spl9_10
| spl9_11
| spl9_12
| spl9_13 ),
inference(avatar_split_clause,[],[f35,f103,f100,f97,f93,f90]) ).
fof(f35,plain,
! [X3,X6,X4,X5] :
( sk_c6 != inverse(X4)
| sk_c6 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6)
| sk_c5 != multiply(X6,sk_c6)
| sk_c5 != sF2
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(X4,sk_c5)
| sk_c7 != inverse(X3)
| sk_c5 != inverse(X6) ),
inference(definition_folding,[],[f21,f25]) ).
fof(f21,axiom,
! [X3,X6,X4,X5] :
( sk_c6 != inverse(X4)
| sk_c6 != multiply(X4,sk_c5)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5)
| multiply(sk_c6,sk_c7) != sk_c5
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3)
| sk_c5 != multiply(X6,sk_c6)
| sk_c5 != inverse(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f88,plain,
( spl9_6
| spl9_8 ),
inference(avatar_split_clause,[],[f47,f85,f75]) ).
fof(f47,plain,
( sk_c7 = sF8
| sk_c5 = sF7 ),
inference(definition_folding,[],[f11,f41,f37]) ).
fof(f11,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f83,plain,
( spl9_7
| spl9_6 ),
inference(avatar_split_clause,[],[f44,f75,f80]) ).
fof(f44,plain,
( sk_c5 = sF7
| sk_c7 = sF3 ),
inference(definition_folding,[],[f7,f27,f37]) ).
fof(f7,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f78,plain,
( spl9_2
| spl9_6 ),
inference(avatar_split_clause,[],[f38,f75,f54]) ).
fof(f38,plain,
( sk_c5 = sF7
| sk_c6 = sF0 ),
inference(definition_folding,[],[f19,f37,f22]) ).
fof(f19,axiom,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f73,plain,
( spl9_5
| spl9_4 ),
inference(avatar_split_clause,[],[f33,f64,f69]) ).
fof(f33,plain,
( sk_c6 = sF5
| sk_c5 = sF6 ),
inference(definition_folding,[],[f16,f32,f31]) ).
fof(f16,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c5 = multiply(sk_c4,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f72,plain,
( spl9_2
| spl9_5 ),
inference(avatar_split_clause,[],[f45,f69,f54]) ).
fof(f45,plain,
( sk_c5 = sF6
| sk_c6 = sF0 ),
inference(definition_folding,[],[f20,f32,f22]) ).
fof(f20,axiom,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c5 = multiply(sk_c4,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f67,plain,
( spl9_1
| spl9_4 ),
inference(avatar_split_clause,[],[f40,f64,f50]) ).
fof(f40,plain,
( sk_c6 = sF5
| sk_c6 = sF1 ),
inference(definition_folding,[],[f14,f23,f31]) ).
fof(f14,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f62,plain,
( spl9_3
| spl9_2 ),
inference(avatar_split_clause,[],[f39,f54,f59]) ).
fof(f39,plain,
( sk_c6 = sF0
| sk_c7 = sF4 ),
inference(definition_folding,[],[f17,f22,f29]) ).
fof(f17,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f57,plain,
( spl9_1
| spl9_2 ),
inference(avatar_split_clause,[],[f24,f54,f50]) ).
fof(f24,plain,
( sk_c6 = sF0
| sk_c6 = sF1 ),
inference(definition_folding,[],[f18,f23,f22]) ).
fof(f18,axiom,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP344-1 : 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
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 22:33:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (8699)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)
% 0.19/0.51 % (8696)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)
% 0.19/0.51 % (8707)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)
% 0.19/0.51 % (8710)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)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 % (8702)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)
% 0.19/0.52 TRYING [2]
% 0.19/0.52 % (8697)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)
% 0.19/0.52 TRYING [2]
% 0.19/0.52 % (8710)Instruction limit reached!
% 0.19/0.52 % (8710)------------------------------
% 0.19/0.52 % (8710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (8698)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)
% 0.19/0.52 % (8710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (8710)Termination reason: Unknown
% 0.19/0.52 % (8710)Termination phase: Finite model building constraint generation
% 0.19/0.52
% 0.19/0.52 % (8710)Memory used [KB]: 6012
% 0.19/0.52 % (8710)Time elapsed: 0.116 s
% 0.19/0.52 % (8710)Instructions burned: 6 (million)
% 0.19/0.52 % (8710)------------------------------
% 0.19/0.52 % (8710)------------------------------
% 0.19/0.52 % (8697)Instruction limit reached!
% 0.19/0.52 % (8697)------------------------------
% 0.19/0.52 % (8697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (8697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (8697)Termination reason: Unknown
% 0.19/0.52 % (8697)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (8697)Memory used [KB]: 5884
% 0.19/0.52 % (8697)Time elapsed: 0.124 s
% 0.19/0.52 % (8697)Instructions burned: 4 (million)
% 0.19/0.52 % (8697)------------------------------
% 0.19/0.52 % (8697)------------------------------
% 0.19/0.52 % (8717)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)
% 1.36/0.52 % (8695)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.36/0.52 % (8700)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.36/0.52 % (8712)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.36/0.53 % (8716)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)
% 1.36/0.53 % (8721)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)
% 1.36/0.53 % (8708)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)
% 1.36/0.53 % (8718)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)
% 1.36/0.53 % (8708)Instruction limit reached!
% 1.36/0.53 % (8708)------------------------------
% 1.36/0.53 % (8708)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.53 % (8708)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.53 % (8708)Termination reason: Unknown
% 1.36/0.53 % (8708)Termination phase: Saturation
% 1.36/0.53
% 1.36/0.53 % (8708)Memory used [KB]: 5884
% 1.36/0.53 % (8708)Time elapsed: 0.133 s
% 1.36/0.53 % (8708)Instructions burned: 4 (million)
% 1.36/0.53 % (8708)------------------------------
% 1.36/0.53 % (8708)------------------------------
% 1.36/0.53 % (8709)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)
% 1.36/0.53 % (8723)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)
% 1.36/0.53 % (8704)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)
% 1.36/0.53 % (8718)Refutation not found, incomplete strategy% (8718)------------------------------
% 1.36/0.53 % (8718)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.53 % (8718)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.53 % (8718)Termination reason: Refutation not found, incomplete strategy
% 1.36/0.53
% 1.36/0.53 % (8718)Memory used [KB]: 5884
% 1.36/0.53 % (8718)Time elapsed: 0.123 s
% 1.36/0.53 % (8718)Instructions burned: 2 (million)
% 1.36/0.53 % (8718)------------------------------
% 1.36/0.53 % (8718)------------------------------
% 1.36/0.53 % (8711)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)
% 1.36/0.53 % (8713)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)
% 1.36/0.53 % (8711)Instruction limit reached!
% 1.36/0.53 % (8711)------------------------------
% 1.36/0.53 % (8711)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.53 % (8711)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.53 % (8711)Termination reason: Unknown
% 1.36/0.53 % (8711)Termination phase: Saturation
% 1.36/0.53
% 1.36/0.53 % (8711)Memory used [KB]: 5756
% 1.36/0.53 % (8711)Time elapsed: 0.002 s
% 1.36/0.53 % (8711)Instructions burned: 2 (million)
% 1.36/0.53 % (8711)------------------------------
% 1.36/0.53 % (8711)------------------------------
% 1.36/0.53 % (8722)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)
% 1.36/0.53 % (8720)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)
% 1.36/0.53 % (8707)Instruction limit reached!
% 1.36/0.53 % (8707)------------------------------
% 1.36/0.53 % (8707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.53 % (8707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.53 % (8707)Termination reason: Unknown
% 1.36/0.53 % (8707)Termination phase: Saturation
% 1.36/0.53
% 1.36/0.53 % (8707)Memory used [KB]: 6012
% 1.36/0.53 % (8707)Time elapsed: 0.150 s
% 1.36/0.53 % (8707)Instructions burned: 5 (million)
% 1.36/0.53 % (8707)------------------------------
% 1.36/0.53 % (8707)------------------------------
% 1.36/0.53 % (8715)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)
% 1.36/0.54 % (8703)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)
% 1.36/0.54 % (8701)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)
% 1.36/0.54 % (8719)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)
% 1.36/0.54 % (8705)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)
% 1.54/0.54 % (8706)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)
% 1.54/0.54 % (8724)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)
% 1.54/0.54 % (8714)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)
% 1.54/0.54 % (8712)Instruction limit reached!
% 1.54/0.54 % (8712)------------------------------
% 1.54/0.54 % (8712)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.55 % (8705)Instruction limit reached!
% 1.54/0.55 % (8705)------------------------------
% 1.54/0.55 % (8705)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.55 % (8703)Instruction limit reached!
% 1.54/0.55 % (8703)------------------------------
% 1.54/0.55 % (8703)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.55 % (8714)Instruction limit reached!
% 1.54/0.55 % (8714)------------------------------
% 1.54/0.55 % (8714)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.55 % (8714)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.55 % (8714)Termination reason: Unknown
% 1.54/0.55 % (8714)Termination phase: Saturation
% 1.54/0.55
% 1.54/0.55 % (8714)Memory used [KB]: 6012
% 1.54/0.55 % (8714)Time elapsed: 0.160 s
% 1.54/0.55 % (8714)Instructions burned: 7 (million)
% 1.54/0.55 % (8714)------------------------------
% 1.54/0.55 % (8714)------------------------------
% 1.54/0.56 % (8703)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56 % (8712)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56 % (8712)Termination reason: Unknown
% 1.54/0.56 % (8712)Termination phase: Saturation
% 1.54/0.56
% 1.54/0.56 % (8712)Memory used [KB]: 6012
% 1.54/0.56 % (8712)Time elapsed: 0.142 s
% 1.54/0.56 % (8712)Instructions burned: 9 (million)
% 1.54/0.56 % (8712)------------------------------
% 1.54/0.56 % (8712)------------------------------
% 1.54/0.56 % (8703)Termination reason: Unknown
% 1.54/0.56 % (8703)Termination phase: Saturation
% 1.54/0.56
% 1.54/0.56 % (8703)Memory used [KB]: 5884
% 1.54/0.56 % (8703)Time elapsed: 0.159 s
% 1.54/0.56 % (8703)Instructions burned: 3 (million)
% 1.54/0.56 % (8703)------------------------------
% 1.54/0.56 % (8703)------------------------------
% 1.54/0.56 % (8699)Instruction limit reached!
% 1.54/0.56 % (8699)------------------------------
% 1.54/0.56 % (8699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.56 % (8699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56 % (8699)Termination reason: Unknown
% 1.54/0.56 % (8699)Termination phase: Saturation
% 1.54/0.56
% 1.54/0.56 % (8699)Memory used [KB]: 6524
% 1.54/0.56 % (8699)Time elapsed: 0.167 s
% 1.54/0.56 % (8699)Instructions burned: 34 (million)
% 1.54/0.56 % (8699)------------------------------
% 1.54/0.56 % (8699)------------------------------
% 1.54/0.56 % (8705)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56 % (8715)Instruction limit reached!
% 1.54/0.56 % (8715)------------------------------
% 1.54/0.56 % (8715)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.56 % (8715)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56 % (8715)Termination reason: Unknown
% 1.54/0.56 % (8715)Termination phase: Saturation
% 1.54/0.56
% 1.54/0.56 % (8715)Memory used [KB]: 1407
% 1.54/0.56 % (8715)Time elapsed: 0.149 s
% 1.54/0.56 % (8715)Instructions burned: 6 (million)
% 1.54/0.56 % (8715)------------------------------
% 1.54/0.56 % (8715)------------------------------
% 1.54/0.56 % (8705)Termination reason: Unknown
% 1.54/0.56 % (8705)Termination phase: Saturation
% 1.54/0.56
% 1.54/0.56 % (8705)Memory used [KB]: 6012
% 1.54/0.56 % (8705)Time elapsed: 0.161 s
% 1.54/0.56 % (8705)Instructions burned: 7 (million)
% 1.54/0.56 % (8705)------------------------------
% 1.54/0.56 % (8705)------------------------------
% 1.54/0.56 % (8700)Instruction limit reached!
% 1.54/0.56 % (8700)------------------------------
% 1.54/0.56 % (8700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.56 % (8706)Instruction limit reached!
% 1.54/0.56 % (8706)------------------------------
% 1.54/0.56 % (8706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.57 % (8695)First to succeed.
% 1.54/0.57 % (8695)Refutation found. Thanks to Tanya!
% 1.54/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.54/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.54/0.57 % (8695)------------------------------
% 1.54/0.57 % (8695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.57 % (8695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.57 % (8695)Termination reason: Refutation
% 1.54/0.57
% 1.54/0.57 % (8695)Memory used [KB]: 6268
% 1.54/0.57 % (8695)Time elapsed: 0.147 s
% 1.54/0.57 % (8695)Instructions burned: 24 (million)
% 1.54/0.57 % (8695)------------------------------
% 1.54/0.57 % (8695)------------------------------
% 1.54/0.57 % (8694)Success in time 0.219 s
%------------------------------------------------------------------------------