TSTP Solution File: GRP337-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP337-1 : 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 : n027.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 16:15:25 EDT 2022
% Result : Unsatisfiable 0.20s 0.68s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 56
% Syntax : Number of formulae : 304 ( 31 unt; 0 def)
% Number of atoms : 1020 ( 355 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1395 ( 679 ~; 697 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 20 con; 0-2 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1703,plain,
$false,
inference(avatar_sat_refutation,[],[f99,f108,f117,f118,f123,f133,f139,f140,f150,f153,f154,f155,f156,f157,f160,f161,f162,f163,f164,f166,f169,f182,f184,f327,f368,f402,f442,f470,f473,f519,f522,f693,f703,f724,f731,f763,f807,f1543,f1547,f1603,f1698]) ).
fof(f1698,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_16
| ~ spl12_36 ),
inference(avatar_contradiction_clause,[],[f1697]) ).
fof(f1697,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_16
| ~ spl12_36 ),
inference(subsumption_resolution,[],[f1690,f1669]) ).
fof(f1669,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_36 ),
inference(backward_demodulation,[],[f816,f1668]) ).
fof(f1668,plain,
( sk_c8 = sk_c1
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_36 ),
inference(forward_demodulation,[],[f1653,f1614]) ).
fof(f1614,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl12_3
| ~ spl12_5
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_36 ),
inference(backward_demodulation,[],[f1606,f1607]) ).
fof(f1607,plain,
( sk_c8 = sk_c2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_36 ),
inference(backward_demodulation,[],[f1586,f1606]) ).
fof(f1586,plain,
( sk_c2 = multiply(sk_c2,identity)
| ~ spl12_9
| ~ spl12_12
| ~ spl12_36 ),
inference(forward_demodulation,[],[f1578,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f1578,plain,
( multiply(sk_c2,identity) = multiply(identity,sk_c2)
| ~ spl12_9
| ~ spl12_12
| ~ spl12_36 ),
inference(backward_demodulation,[],[f1213,f1455]) ).
fof(f1455,plain,
( identity = sk_c7
| ~ spl12_36 ),
inference(avatar_component_clause,[],[f1454]) ).
fof(f1454,plain,
( spl12_36
<=> identity = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_36])]) ).
fof(f1213,plain,
( multiply(sk_c7,sk_c2) = multiply(sk_c2,identity)
| ~ spl12_9
| ~ spl12_12 ),
inference(superposition,[],[f993,f811]) ).
fof(f811,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl12_12 ),
inference(backward_demodulation,[],[f774,f149]) ).
fof(f149,plain,
( sk_c3 = sF8
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl12_12
<=> sk_c3 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).
fof(f774,plain,
identity = multiply(sF8,sk_c2),
inference(superposition,[],[f2,f56]) ).
fof(f56,plain,
inverse(sk_c2) = sF8,
introduced(function_definition,[]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f993,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c3,X0))
| ~ spl12_9 ),
inference(backward_demodulation,[],[f629,f132]) ).
fof(f132,plain,
( sk_c7 = sF11
| ~ spl12_9 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f130,plain,
( spl12_9
<=> sk_c7 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f629,plain,
! [X0] : multiply(sk_c2,multiply(sk_c3,X0)) = multiply(sF11,X0),
inference(superposition,[],[f3,f70]) ).
fof(f70,plain,
multiply(sk_c2,sk_c3) = sF11,
introduced(function_definition,[]) ).
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(f1606,plain,
( sk_c8 = multiply(sk_c2,identity)
| ~ spl12_3
| ~ spl12_5
| ~ spl12_9
| ~ spl12_11
| ~ spl12_36 ),
inference(forward_demodulation,[],[f1580,f1587]) ).
fof(f1587,plain,
( sk_c8 = sk_c6
| ~ spl12_11
| ~ spl12_36 ),
inference(forward_demodulation,[],[f1562,f229]) ).
fof(f229,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f209,f1]) ).
fof(f209,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f201,f1]) ).
fof(f201,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f1562,plain,
( sk_c6 = multiply(inverse(identity),sk_c8)
| ~ spl12_11
| ~ spl12_36 ),
inference(backward_demodulation,[],[f606,f1455]) ).
fof(f606,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c8)
| ~ spl12_11 ),
inference(forward_demodulation,[],[f234,f144]) ).
fof(f144,plain,
( sk_c8 = sF6
| ~ spl12_11 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f142,plain,
( spl12_11
<=> sk_c8 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f234,plain,
sk_c6 = multiply(inverse(sk_c7),sF6),
inference(superposition,[],[f209,f52]) ).
fof(f52,plain,
multiply(sk_c7,sk_c6) = sF6,
introduced(function_definition,[]) ).
fof(f1580,plain,
( sk_c6 = multiply(sk_c2,identity)
| ~ spl12_3
| ~ spl12_5
| ~ spl12_9
| ~ spl12_36 ),
inference(backward_demodulation,[],[f1219,f1455]) ).
fof(f1219,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| ~ spl12_3
| ~ spl12_5
| ~ spl12_9 ),
inference(forward_demodulation,[],[f1212,f1067]) ).
fof(f1067,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl12_5 ),
inference(forward_demodulation,[],[f46,f112]) ).
fof(f112,plain,
( sk_c6 = sF3
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl12_5
<=> sk_c6 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f46,plain,
multiply(sk_c7,sk_c8) = sF3,
introduced(function_definition,[]) ).
fof(f1212,plain,
( multiply(sk_c7,sk_c8) = multiply(sk_c2,sk_c7)
| ~ spl12_3
| ~ spl12_9 ),
inference(superposition,[],[f993,f1016]) ).
fof(f1016,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl12_3 ),
inference(forward_demodulation,[],[f50,f103]) ).
fof(f103,plain,
( sk_c7 = sF5
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl12_3
<=> sk_c7 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f50,plain,
multiply(sk_c3,sk_c8) = sF5,
introduced(function_definition,[]) ).
fof(f1653,plain,
( sk_c1 = multiply(sk_c8,identity)
| ~ spl12_2
| ~ spl12_7
| ~ spl12_11
| ~ spl12_36 ),
inference(forward_demodulation,[],[f825,f1587]) ).
fof(f825,plain,
( sk_c1 = multiply(sk_c6,identity)
| ~ spl12_2
| ~ spl12_7 ),
inference(backward_demodulation,[],[f824,f122]) ).
fof(f122,plain,
( sk_c6 = sF1
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f120,plain,
( spl12_7
<=> sk_c6 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f824,plain,
( sk_c1 = multiply(sF1,identity)
| ~ spl12_2 ),
inference(backward_demodulation,[],[f813,f43]) ).
fof(f43,plain,
inverse(sk_c8) = sF1,
introduced(function_definition,[]) ).
fof(f813,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl12_2 ),
inference(backward_demodulation,[],[f710,f98]) ).
fof(f98,plain,
( sk_c8 = sF9
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl12_2
<=> sk_c8 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f710,plain,
sk_c1 = multiply(inverse(sF9),identity),
inference(superposition,[],[f209,f678]) ).
fof(f678,plain,
identity = multiply(sF9,sk_c1),
inference(superposition,[],[f2,f58]) ).
fof(f58,plain,
inverse(sk_c1) = sF9,
introduced(function_definition,[]) ).
fof(f816,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl12_2 ),
inference(backward_demodulation,[],[f58,f98]) ).
fof(f1690,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_16
| ~ spl12_36 ),
inference(backward_demodulation,[],[f1162,f1688]) ).
fof(f1688,plain,
( sk_c8 = sk_c3
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_36 ),
inference(forward_demodulation,[],[f1610,f1669]) ).
fof(f1610,plain,
( inverse(sk_c8) = sk_c3
| ~ spl12_3
| ~ spl12_5
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_36 ),
inference(backward_demodulation,[],[f812,f1607]) ).
fof(f812,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl12_12 ),
inference(backward_demodulation,[],[f56,f149]) ).
fof(f1162,plain,
( sk_c8 != inverse(sk_c3)
| ~ spl12_3
| ~ spl12_16 ),
inference(trivial_inequality_removal,[],[f1160]) ).
fof(f1160,plain,
( sk_c7 != sk_c7
| sk_c8 != inverse(sk_c3)
| ~ spl12_3
| ~ spl12_16 ),
inference(superposition,[],[f181,f1016]) ).
fof(f181,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c8)
| sk_c8 != inverse(X6) )
| ~ spl12_16 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f180,plain,
( spl12_16
<=> ! [X6] :
( sk_c8 != inverse(X6)
| sk_c7 != multiply(X6,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_16])]) ).
fof(f1603,plain,
( ~ spl12_4
| ~ spl12_7
| ~ spl12_11
| ~ spl12_36
| spl12_37 ),
inference(avatar_contradiction_clause,[],[f1602]) ).
fof(f1602,plain,
( $false
| ~ spl12_4
| ~ spl12_7
| ~ spl12_11
| ~ spl12_36
| spl12_37 ),
inference(subsumption_resolution,[],[f1596,f1593]) ).
fof(f1593,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl12_4
| ~ spl12_7
| ~ spl12_11
| ~ spl12_36 ),
inference(backward_demodulation,[],[f543,f1587]) ).
fof(f543,plain,
( sk_c6 = inverse(sk_c8)
| ~ spl12_4
| ~ spl12_7 ),
inference(forward_demodulation,[],[f534,f539]) ).
fof(f539,plain,
( sk_c8 = sk_c5
| ~ spl12_4
| ~ spl12_7 ),
inference(forward_demodulation,[],[f537,f476]) ).
fof(f476,plain,
( sk_c8 = multiply(inverse(sk_c6),identity)
| ~ spl12_7 ),
inference(forward_demodulation,[],[f243,f122]) ).
fof(f243,plain,
sk_c8 = multiply(inverse(sF1),identity),
inference(superposition,[],[f209,f194]) ).
fof(f194,plain,
identity = multiply(sF1,sk_c8),
inference(superposition,[],[f2,f43]) ).
fof(f537,plain,
( sk_c5 = multiply(inverse(sk_c6),identity)
| ~ spl12_4 ),
inference(backward_demodulation,[],[f244,f107]) ).
fof(f107,plain,
( sk_c6 = sF2
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl12_4
<=> sk_c6 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f244,plain,
sk_c5 = multiply(inverse(sF2),identity),
inference(superposition,[],[f209,f196]) ).
fof(f196,plain,
identity = multiply(sF2,sk_c5),
inference(superposition,[],[f2,f45]) ).
fof(f45,plain,
inverse(sk_c5) = sF2,
introduced(function_definition,[]) ).
fof(f534,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl12_4 ),
inference(backward_demodulation,[],[f45,f107]) ).
fof(f1596,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl12_11
| ~ spl12_36
| spl12_37 ),
inference(backward_demodulation,[],[f1466,f1587]) ).
fof(f1466,plain,
( sk_c8 != inverse(sk_c6)
| spl12_37 ),
inference(avatar_component_clause,[],[f1464]) ).
fof(f1464,plain,
( spl12_37
<=> sk_c8 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_37])]) ).
fof(f1547,plain,
( ~ spl12_36
| ~ spl12_37
| ~ spl12_7
| ~ spl12_16 ),
inference(avatar_split_clause,[],[f1510,f180,f120,f1464,f1454]) ).
fof(f1510,plain,
( sk_c8 != inverse(sk_c6)
| identity != sk_c7
| ~ spl12_7
| ~ spl12_16 ),
inference(superposition,[],[f181,f480]) ).
fof(f480,plain,
( identity = multiply(sk_c6,sk_c8)
| ~ spl12_7 ),
inference(forward_demodulation,[],[f194,f122]) ).
fof(f1543,plain,
( ~ spl12_9
| ~ spl12_12
| spl12_36 ),
inference(avatar_contradiction_clause,[],[f1542]) ).
fof(f1542,plain,
( $false
| ~ spl12_9
| ~ spl12_12
| spl12_36 ),
inference(subsumption_resolution,[],[f1541,f1456]) ).
fof(f1456,plain,
( identity != sk_c7
| spl12_36 ),
inference(avatar_component_clause,[],[f1454]) ).
fof(f1541,plain,
( identity = sk_c7
| ~ spl12_9
| ~ spl12_12 ),
inference(forward_demodulation,[],[f1539,f2]) ).
fof(f1539,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c3)
| ~ spl12_9
| ~ spl12_12 ),
inference(superposition,[],[f209,f1066]) ).
fof(f1066,plain,
( sk_c3 = multiply(sk_c3,sk_c7)
| ~ spl12_9
| ~ spl12_12 ),
inference(forward_demodulation,[],[f1065,f812]) ).
fof(f1065,plain,
( sk_c3 = multiply(inverse(sk_c2),sk_c7)
| ~ spl12_9 ),
inference(forward_demodulation,[],[f628,f132]) ).
fof(f628,plain,
sk_c3 = multiply(inverse(sk_c2),sF11),
inference(superposition,[],[f209,f70]) ).
fof(f807,plain,
( ~ spl12_1
| ~ spl12_4
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11
| ~ spl12_13 ),
inference(avatar_contradiction_clause,[],[f806]) ).
fof(f806,plain,
( $false
| ~ spl12_1
| ~ spl12_4
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11
| ~ spl12_13 ),
inference(subsumption_resolution,[],[f783,f640]) ).
fof(f640,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11 ),
inference(forward_demodulation,[],[f480,f608]) ).
fof(f608,plain,
( sk_c8 = sk_c6
| ~ spl12_1
| ~ spl12_6
| ~ spl12_11 ),
inference(forward_demodulation,[],[f607,f229]) ).
fof(f607,plain,
( sk_c6 = multiply(inverse(identity),sk_c8)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_11 ),
inference(forward_demodulation,[],[f606,f494]) ).
fof(f494,plain,
( identity = sk_c7
| ~ spl12_1
| ~ spl12_6 ),
inference(forward_demodulation,[],[f491,f2]) ).
fof(f491,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl12_1
| ~ spl12_6 ),
inference(backward_demodulation,[],[f481,f94]) ).
fof(f94,plain,
( sk_c8 = sF10
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f92,plain,
( spl12_1
<=> sk_c8 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f481,plain,
( sk_c7 = multiply(inverse(sF10),sk_c8)
| ~ spl12_6 ),
inference(backward_demodulation,[],[f390,f116]) ).
fof(f116,plain,
( sk_c7 = sF4
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl12_6
<=> sk_c7 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f390,plain,
multiply(inverse(sF10),sk_c8) = sF4,
inference(superposition,[],[f209,f251]) ).
fof(f251,plain,
sk_c8 = multiply(sF10,sF4),
inference(forward_demodulation,[],[f237,f67]) ).
fof(f67,plain,
inverse(sk_c4) = sF10,
introduced(function_definition,[]) ).
fof(f237,plain,
sk_c8 = multiply(inverse(sk_c4),sF4),
inference(superposition,[],[f209,f48]) ).
fof(f48,plain,
multiply(sk_c4,sk_c8) = sF4,
introduced(function_definition,[]) ).
fof(f783,plain,
( identity != multiply(sk_c8,sk_c8)
| ~ spl12_1
| ~ spl12_4
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11
| ~ spl12_13 ),
inference(duplicate_literal_removal,[],[f780]) ).
fof(f780,plain,
( identity != multiply(sk_c8,sk_c8)
| identity != multiply(sk_c8,sk_c8)
| ~ spl12_1
| ~ spl12_4
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11
| ~ spl12_13 ),
inference(superposition,[],[f769,f656]) ).
fof(f656,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl12_1
| ~ spl12_4
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11 ),
inference(forward_demodulation,[],[f543,f608]) ).
fof(f769,plain,
( ! [X4] :
( identity != multiply(inverse(X4),sk_c8)
| identity != multiply(X4,inverse(X4)) )
| ~ spl12_1
| ~ spl12_6
| ~ spl12_13 ),
inference(forward_demodulation,[],[f768,f494]) ).
fof(f768,plain,
( ! [X4] :
( identity != multiply(inverse(X4),sk_c8)
| sk_c7 != multiply(X4,inverse(X4)) )
| ~ spl12_1
| ~ spl12_6
| ~ spl12_13 ),
inference(forward_demodulation,[],[f172,f494]) ).
fof(f172,plain,
( ! [X4] :
( sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c7 != multiply(X4,inverse(X4)) )
| ~ spl12_13 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f171,plain,
( spl12_13
<=> ! [X4] :
( sk_c7 != multiply(X4,inverse(X4))
| sk_c7 != multiply(inverse(X4),sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).
fof(f763,plain,
( ~ spl12_1
| spl12_5
| ~ spl12_6
| ~ spl12_11 ),
inference(avatar_contradiction_clause,[],[f762]) ).
fof(f762,plain,
( $false
| ~ spl12_1
| spl12_5
| ~ spl12_6
| ~ spl12_11 ),
inference(subsumption_resolution,[],[f761,f758]) ).
fof(f758,plain,
( sk_c8 != sF3
| ~ spl12_1
| spl12_5
| ~ spl12_6
| ~ spl12_11 ),
inference(forward_demodulation,[],[f111,f608]) ).
fof(f111,plain,
( sk_c6 != sF3
| spl12_5 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f761,plain,
( sk_c8 = sF3
| ~ spl12_1
| ~ spl12_6 ),
inference(forward_demodulation,[],[f760,f1]) ).
fof(f760,plain,
( multiply(identity,sk_c8) = sF3
| ~ spl12_1
| ~ spl12_6 ),
inference(forward_demodulation,[],[f46,f494]) ).
fof(f731,plain,
( ~ spl12_1
| ~ spl12_6
| spl12_9
| ~ spl12_12 ),
inference(avatar_contradiction_clause,[],[f730]) ).
fof(f730,plain,
( $false
| ~ spl12_1
| ~ spl12_6
| spl12_9
| ~ spl12_12 ),
inference(subsumption_resolution,[],[f729,f497]) ).
fof(f497,plain,
( identity != sF11
| ~ spl12_1
| ~ spl12_6
| spl12_9 ),
inference(backward_demodulation,[],[f131,f494]) ).
fof(f131,plain,
( sk_c7 != sF11
| spl12_9 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f729,plain,
( identity = sF11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f727,f2]) ).
fof(f727,plain,
( multiply(inverse(sk_c3),sk_c3) = sF11
| ~ spl12_12 ),
inference(superposition,[],[f209,f630]) ).
fof(f630,plain,
( sk_c3 = multiply(sk_c3,sF11)
| ~ spl12_12 ),
inference(forward_demodulation,[],[f628,f193]) ).
fof(f193,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl12_12 ),
inference(backward_demodulation,[],[f56,f149]) ).
fof(f724,plain,
( ~ spl12_1
| ~ spl12_4
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11
| ~ spl12_14 ),
inference(avatar_contradiction_clause,[],[f723]) ).
fof(f723,plain,
( $false
| ~ spl12_1
| ~ spl12_4
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11
| ~ spl12_14 ),
inference(subsumption_resolution,[],[f722,f656]) ).
fof(f722,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_14 ),
inference(trivial_inequality_removal,[],[f719]) ).
fof(f719,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c8)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_14 ),
inference(superposition,[],[f705,f523]) ).
fof(f523,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl12_1
| ~ spl12_6 ),
inference(forward_demodulation,[],[f493,f494]) ).
fof(f493,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl12_1
| ~ spl12_6 ),
inference(backward_demodulation,[],[f483,f94]) ).
fof(f483,plain,
( sk_c8 = multiply(sF10,sk_c7)
| ~ spl12_6 ),
inference(backward_demodulation,[],[f251,f116]) ).
fof(f705,plain,
( ! [X3] :
( sk_c8 != multiply(X3,identity)
| sk_c8 != inverse(X3) )
| ~ spl12_1
| ~ spl12_6
| ~ spl12_14 ),
inference(forward_demodulation,[],[f175,f494]) ).
fof(f175,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3) )
| ~ spl12_14 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f174,plain,
( spl12_14
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).
fof(f703,plain,
( ~ spl12_1
| ~ spl12_4
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11
| ~ spl12_16 ),
inference(avatar_contradiction_clause,[],[f702]) ).
fof(f702,plain,
( $false
| ~ spl12_1
| ~ spl12_4
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11
| ~ spl12_16 ),
inference(subsumption_resolution,[],[f701,f656]) ).
fof(f701,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl12_1
| ~ spl12_4
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11
| ~ spl12_16 ),
inference(forward_demodulation,[],[f700,f656]) ).
fof(f700,plain,
( sk_c8 != inverse(inverse(sk_c8))
| ~ spl12_1
| ~ spl12_6
| ~ spl12_16 ),
inference(trivial_inequality_removal,[],[f698]) ).
fof(f698,plain,
( sk_c8 != inverse(inverse(sk_c8))
| identity != identity
| ~ spl12_1
| ~ spl12_6
| ~ spl12_16 ),
inference(superposition,[],[f695,f2]) ).
fof(f695,plain,
( ! [X6] :
( identity != multiply(X6,sk_c8)
| sk_c8 != inverse(X6) )
| ~ spl12_1
| ~ spl12_6
| ~ spl12_16 ),
inference(forward_demodulation,[],[f181,f494]) ).
fof(f693,plain,
( ~ spl12_1
| ~ spl12_4
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11
| ~ spl12_15 ),
inference(avatar_contradiction_clause,[],[f692]) ).
fof(f692,plain,
( $false
| ~ spl12_1
| ~ spl12_4
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11
| ~ spl12_15 ),
inference(subsumption_resolution,[],[f691,f656]) ).
fof(f691,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl12_1
| ~ spl12_4
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11
| ~ spl12_15 ),
inference(forward_demodulation,[],[f690,f656]) ).
fof(f690,plain,
( sk_c8 != inverse(inverse(sk_c8))
| ~ spl12_1
| ~ spl12_6
| ~ spl12_11
| ~ spl12_15 ),
inference(trivial_inequality_removal,[],[f688]) ).
fof(f688,plain,
( sk_c8 != inverse(inverse(sk_c8))
| identity != identity
| ~ spl12_1
| ~ spl12_6
| ~ spl12_11
| ~ spl12_15 ),
inference(superposition,[],[f667,f2]) ).
fof(f667,plain,
( ! [X7] :
( identity != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
| ~ spl12_1
| ~ spl12_6
| ~ spl12_11
| ~ spl12_15 ),
inference(forward_demodulation,[],[f666,f494]) ).
fof(f666,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(X7,sk_c8) )
| ~ spl12_1
| ~ spl12_6
| ~ spl12_11
| ~ spl12_15 ),
inference(forward_demodulation,[],[f665,f608]) ).
fof(f665,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(X7,sk_c6) )
| ~ spl12_1
| ~ spl12_6
| ~ spl12_11
| ~ spl12_15 ),
inference(forward_demodulation,[],[f178,f608]) ).
fof(f178,plain,
( ! [X7] :
( sk_c6 != inverse(X7)
| sk_c7 != multiply(X7,sk_c6) )
| ~ spl12_15 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f177,plain,
( spl12_15
<=> ! [X7] :
( sk_c6 != inverse(X7)
| sk_c7 != multiply(X7,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).
fof(f522,plain,
( spl12_27
| ~ spl12_1 ),
inference(avatar_split_clause,[],[f487,f92,f467]) ).
fof(f467,plain,
( spl12_27
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_27])]) ).
fof(f487,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl12_1 ),
inference(backward_demodulation,[],[f67,f94]) ).
fof(f519,plain,
( spl12_26
| ~ spl12_1
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f495,f114,f92,f463]) ).
fof(f463,plain,
( spl12_26
<=> identity = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_26])]) ).
fof(f495,plain,
( identity = sF4
| ~ spl12_1
| ~ spl12_6 ),
inference(backward_demodulation,[],[f116,f494]) ).
fof(f473,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_9
| ~ spl12_10
| ~ spl12_12
| ~ spl12_15 ),
inference(avatar_contradiction_clause,[],[f472]) ).
fof(f472,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_9
| ~ spl12_10
| ~ spl12_12
| ~ spl12_15 ),
inference(subsumption_resolution,[],[f471,f354]) ).
fof(f354,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_9
| ~ spl12_10
| ~ spl12_12 ),
inference(backward_demodulation,[],[f189,f353]) ).
fof(f353,plain,
( sk_c8 = sk_c1
| ~ spl12_2
| ~ spl12_3
| ~ spl12_9
| ~ spl12_10
| ~ spl12_12 ),
inference(forward_demodulation,[],[f351,f281]) ).
fof(f281,plain,
( sk_c8 = multiply(sk_c1,identity)
| ~ spl12_9
| ~ spl12_10
| ~ spl12_12 ),
inference(backward_demodulation,[],[f190,f276]) ).
fof(f276,plain,
( identity = sk_c7
| ~ spl12_9
| ~ spl12_12 ),
inference(forward_demodulation,[],[f274,f2]) ).
fof(f274,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c3)
| ~ spl12_9
| ~ spl12_12 ),
inference(superposition,[],[f209,f253]) ).
fof(f253,plain,
( sk_c3 = multiply(sk_c3,sk_c7)
| ~ spl12_9
| ~ spl12_12 ),
inference(forward_demodulation,[],[f240,f193]) ).
fof(f240,plain,
( sk_c3 = multiply(inverse(sk_c2),sk_c7)
| ~ spl12_9 ),
inference(superposition,[],[f209,f188]) ).
fof(f188,plain,
( sk_c7 = multiply(sk_c2,sk_c3)
| ~ spl12_9 ),
inference(backward_demodulation,[],[f70,f132]) ).
fof(f190,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl12_10 ),
inference(backward_demodulation,[],[f42,f138]) ).
fof(f138,plain,
( sk_c8 = sF0
| ~ spl12_10 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl12_10
<=> sk_c8 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
fof(f42,plain,
multiply(sk_c1,sk_c7) = sF0,
introduced(function_definition,[]) ).
fof(f351,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_9
| ~ spl12_12 ),
inference(backward_demodulation,[],[f339,f343]) ).
fof(f343,plain,
( sk_c1 = sk_c3
| ~ spl12_2
| ~ spl12_3
| ~ spl12_9
| ~ spl12_12 ),
inference(backward_demodulation,[],[f293,f339]) ).
fof(f293,plain,
( sk_c3 = multiply(sk_c3,identity)
| ~ spl12_9
| ~ spl12_12 ),
inference(backward_demodulation,[],[f253,f276]) ).
fof(f339,plain,
( sk_c1 = multiply(sk_c3,identity)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_9
| ~ spl12_12 ),
inference(backward_demodulation,[],[f247,f335]) ).
fof(f335,plain,
( sk_c3 = sF1
| ~ spl12_3
| ~ spl12_9
| ~ spl12_12 ),
inference(backward_demodulation,[],[f43,f334]) ).
fof(f334,plain,
( inverse(sk_c8) = sk_c3
| ~ spl12_3
| ~ spl12_9
| ~ spl12_12 ),
inference(backward_demodulation,[],[f193,f329]) ).
fof(f329,plain,
( sk_c8 = sk_c2
| ~ spl12_3
| ~ spl12_9
| ~ spl12_12 ),
inference(backward_demodulation,[],[f242,f292]) ).
fof(f292,plain,
( sk_c8 = multiply(inverse(sk_c3),identity)
| ~ spl12_3
| ~ spl12_9
| ~ spl12_12 ),
inference(backward_demodulation,[],[f241,f276]) ).
fof(f241,plain,
( sk_c8 = multiply(inverse(sk_c3),sk_c7)
| ~ spl12_3 ),
inference(superposition,[],[f209,f192]) ).
fof(f192,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl12_3 ),
inference(backward_demodulation,[],[f50,f103]) ).
fof(f242,plain,
( sk_c2 = multiply(inverse(sk_c3),identity)
| ~ spl12_12 ),
inference(superposition,[],[f209,f198]) ).
fof(f198,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl12_12 ),
inference(superposition,[],[f2,f193]) ).
fof(f247,plain,
( sk_c1 = multiply(sF1,identity)
| ~ spl12_2 ),
inference(forward_demodulation,[],[f235,f43]) ).
fof(f235,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl12_2 ),
inference(superposition,[],[f209,f197]) ).
fof(f197,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl12_2 ),
inference(superposition,[],[f2,f189]) ).
fof(f189,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl12_2 ),
inference(backward_demodulation,[],[f58,f98]) ).
fof(f471,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_9
| ~ spl12_10
| ~ spl12_12
| ~ spl12_15 ),
inference(forward_demodulation,[],[f451,f354]) ).
fof(f451,plain,
( sk_c8 != inverse(inverse(sk_c8))
| ~ spl12_5
| ~ spl12_9
| ~ spl12_12
| ~ spl12_15 ),
inference(trivial_inequality_removal,[],[f448]) ).
fof(f448,plain,
( identity != identity
| sk_c8 != inverse(inverse(sk_c8))
| ~ spl12_5
| ~ spl12_9
| ~ spl12_12
| ~ spl12_15 ),
inference(superposition,[],[f445,f2]) ).
fof(f445,plain,
( ! [X7] :
( identity != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
| ~ spl12_5
| ~ spl12_9
| ~ spl12_12
| ~ spl12_15 ),
inference(forward_demodulation,[],[f444,f276]) ).
fof(f444,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
| ~ spl12_5
| ~ spl12_9
| ~ spl12_12
| ~ spl12_15 ),
inference(forward_demodulation,[],[f443,f305]) ).
fof(f305,plain,
( sk_c8 = sk_c6
| ~ spl12_5
| ~ spl12_9
| ~ spl12_12 ),
inference(forward_demodulation,[],[f282,f1]) ).
fof(f282,plain,
( sk_c6 = multiply(identity,sk_c8)
| ~ spl12_5
| ~ spl12_9
| ~ spl12_12 ),
inference(backward_demodulation,[],[f191,f276]) ).
fof(f191,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl12_5 ),
inference(backward_demodulation,[],[f46,f112]) ).
fof(f443,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c6)
| sk_c8 != inverse(X7) )
| ~ spl12_5
| ~ spl12_9
| ~ spl12_12
| ~ spl12_15 ),
inference(forward_demodulation,[],[f178,f305]) ).
fof(f470,plain,
( ~ spl12_26
| ~ spl12_27
| ~ spl12_5
| ~ spl12_9
| ~ spl12_12
| ~ spl12_15 ),
inference(avatar_split_clause,[],[f449,f177,f147,f130,f110,f467,f463]) ).
fof(f449,plain,
( sk_c8 != inverse(sk_c4)
| identity != sF4
| ~ spl12_5
| ~ spl12_9
| ~ spl12_12
| ~ spl12_15 ),
inference(superposition,[],[f445,f48]) ).
fof(f442,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_9
| ~ spl12_10
| ~ spl12_12
| ~ spl12_14 ),
inference(avatar_contradiction_clause,[],[f441]) ).
fof(f441,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| ~ spl12_9
| ~ spl12_10
| ~ spl12_12
| ~ spl12_14 ),
inference(subsumption_resolution,[],[f426,f354]) ).
fof(f426,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_9
| ~ spl12_10
| ~ spl12_12
| ~ spl12_14 ),
inference(trivial_inequality_removal,[],[f425]) ).
fof(f425,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c8)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_9
| ~ spl12_10
| ~ spl12_12
| ~ spl12_14 ),
inference(superposition,[],[f421,f356]) ).
fof(f356,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_9
| ~ spl12_10
| ~ spl12_12 ),
inference(backward_demodulation,[],[f281,f353]) ).
fof(f421,plain,
( ! [X3] :
( sk_c8 != multiply(X3,identity)
| sk_c8 != inverse(X3) )
| ~ spl12_9
| ~ spl12_12
| ~ spl12_14 ),
inference(forward_demodulation,[],[f175,f276]) ).
fof(f402,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_9
| ~ spl12_10
| ~ spl12_12
| ~ spl12_13 ),
inference(avatar_contradiction_clause,[],[f401]) ).
fof(f401,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| ~ spl12_9
| ~ spl12_10
| ~ spl12_12
| ~ spl12_13 ),
inference(subsumption_resolution,[],[f396,f289]) ).
fof(f289,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl12_2
| ~ spl12_9
| ~ spl12_10
| ~ spl12_12 ),
inference(backward_demodulation,[],[f221,f276]) ).
fof(f221,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl12_2
| ~ spl12_10 ),
inference(superposition,[],[f212,f190]) ).
fof(f212,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl12_2 ),
inference(forward_demodulation,[],[f211,f1]) ).
fof(f211,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl12_2 ),
inference(superposition,[],[f3,f197]) ).
fof(f396,plain,
( identity != multiply(sk_c8,sk_c8)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_9
| ~ spl12_10
| ~ spl12_12
| ~ spl12_13 ),
inference(duplicate_literal_removal,[],[f392]) ).
fof(f392,plain,
( identity != multiply(sk_c8,sk_c8)
| identity != multiply(sk_c8,sk_c8)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_9
| ~ spl12_10
| ~ spl12_12
| ~ spl12_13 ),
inference(superposition,[],[f380,f354]) ).
fof(f380,plain,
( ! [X4] :
( identity != multiply(inverse(X4),sk_c8)
| identity != multiply(X4,inverse(X4)) )
| ~ spl12_9
| ~ spl12_12
| ~ spl12_13 ),
inference(forward_demodulation,[],[f379,f276]) ).
fof(f379,plain,
( ! [X4] :
( sk_c7 != multiply(X4,inverse(X4))
| identity != multiply(inverse(X4),sk_c8) )
| ~ spl12_9
| ~ spl12_12
| ~ spl12_13 ),
inference(forward_demodulation,[],[f172,f276]) ).
fof(f368,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_12 ),
inference(avatar_contradiction_clause,[],[f367]) ).
fof(f367,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_12 ),
inference(subsumption_resolution,[],[f366,f308]) ).
fof(f308,plain,
( sk_c8 != sF1
| ~ spl12_5
| spl12_7
| ~ spl12_9
| ~ spl12_12 ),
inference(backward_demodulation,[],[f121,f305]) ).
fof(f121,plain,
( sk_c6 != sF1
| spl12_7 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f366,plain,
( sk_c8 = sF1
| ~ spl12_2
| ~ spl12_3
| ~ spl12_9
| ~ spl12_10
| ~ spl12_12 ),
inference(forward_demodulation,[],[f350,f353]) ).
fof(f350,plain,
( sk_c1 = sF1
| ~ spl12_2
| ~ spl12_3
| ~ spl12_9
| ~ spl12_12 ),
inference(backward_demodulation,[],[f335,f343]) ).
fof(f327,plain,
( spl12_11
| ~ spl12_5
| ~ spl12_9
| ~ spl12_12 ),
inference(avatar_split_clause,[],[f326,f147,f130,f110,f142]) ).
fof(f326,plain,
( sk_c8 = sF6
| ~ spl12_5
| ~ spl12_9
| ~ spl12_12 ),
inference(forward_demodulation,[],[f325,f305]) ).
fof(f325,plain,
( sk_c6 = sF6
| ~ spl12_9
| ~ spl12_12 ),
inference(forward_demodulation,[],[f277,f1]) ).
fof(f277,plain,
( sF6 = multiply(identity,sk_c6)
| ~ spl12_9
| ~ spl12_12 ),
inference(backward_demodulation,[],[f52,f276]) ).
fof(f184,plain,
( spl12_2
| spl12_7 ),
inference(avatar_split_clause,[],[f59,f120,f96]) ).
fof(f59,plain,
( sk_c6 = sF1
| sk_c8 = sF9 ),
inference(definition_folding,[],[f13,f43,f58]) ).
fof(f13,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c6 = inverse(sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f182,plain,
( spl12_13
| ~ spl12_11
| spl12_14
| ~ spl12_5
| spl12_15
| spl12_16
| ~ spl12_7 ),
inference(avatar_split_clause,[],[f53,f120,f180,f177,f110,f174,f142,f171]) ).
fof(f53,plain,
! [X3,X6,X7,X4] :
( sk_c6 != sF1
| sk_c8 != inverse(X6)
| sk_c6 != inverse(X7)
| sk_c6 != sF3
| sk_c8 != inverse(X3)
| sk_c8 != sF6
| sk_c7 != multiply(X6,sk_c8)
| sk_c7 != multiply(X4,inverse(X4))
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c7 != multiply(X7,sk_c6) ),
inference(definition_folding,[],[f41,f52,f46,f43]) ).
fof(f41,plain,
! [X3,X6,X7,X4] :
( sk_c8 != inverse(X3)
| sk_c6 != inverse(sk_c8)
| sk_c7 != multiply(X7,sk_c6)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(X6,sk_c8)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c7 != multiply(X4,inverse(X4))
| sk_c6 != inverse(X7)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c8 != multiply(sk_c7,sk_c6) ),
inference(equality_resolution,[],[f40]) ).
fof(f40,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c8 != inverse(X3)
| inverse(X4) != X5
| sk_c6 != inverse(sk_c8)
| sk_c7 != multiply(X7,sk_c6)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(X6,sk_c8)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c7 != multiply(X4,X5)
| sk_c6 != inverse(X7)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X5,sk_c8)
| sk_c8 != multiply(sk_c7,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f169,plain,
( spl12_5
| spl12_11 ),
inference(avatar_split_clause,[],[f66,f142,f110]) ).
fof(f66,plain,
( sk_c8 = sF6
| sk_c6 = sF3 ),
inference(definition_folding,[],[f4,f46,f52]) ).
fof(f4,axiom,
( sk_c8 = multiply(sk_c7,sk_c6)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f166,plain,
( spl12_2
| spl12_6 ),
inference(avatar_split_clause,[],[f62,f114,f96]) ).
fof(f62,plain,
( sk_c7 = sF4
| sk_c8 = sF9 ),
inference(definition_folding,[],[f11,f58,f48]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f164,plain,
( spl12_12
| spl12_4 ),
inference(avatar_split_clause,[],[f75,f105,f147]) ).
fof(f75,plain,
( sk_c6 = sF2
| sk_c3 = sF8 ),
inference(definition_folding,[],[f33,f45,f56]) ).
fof(f33,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c6 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f163,plain,
( spl12_12
| spl12_11 ),
inference(avatar_split_clause,[],[f74,f142,f147]) ).
fof(f74,plain,
( sk_c8 = sF6
| sk_c3 = sF8 ),
inference(definition_folding,[],[f28,f52,f56]) ).
fof(f28,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c8 = multiply(sk_c7,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f162,plain,
( spl12_3
| spl12_1 ),
inference(avatar_split_clause,[],[f72,f92,f101]) ).
fof(f72,plain,
( sk_c8 = sF10
| sk_c7 = sF5 ),
inference(definition_folding,[],[f36,f50,f67]) ).
fof(f36,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f161,plain,
( spl12_1
| spl12_12 ),
inference(avatar_split_clause,[],[f68,f147,f92]) ).
fof(f68,plain,
( sk_c3 = sF8
| sk_c8 = sF10 ),
inference(definition_folding,[],[f30,f56,f67]) ).
fof(f30,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f160,plain,
( spl12_4
| spl12_10 ),
inference(avatar_split_clause,[],[f64,f136,f105]) ).
fof(f64,plain,
( sk_c8 = sF0
| sk_c6 = sF2 ),
inference(definition_folding,[],[f21,f45,f42]) ).
fof(f21,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c6 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f157,plain,
( spl12_2
| spl12_4 ),
inference(avatar_split_clause,[],[f65,f105,f96]) ).
fof(f65,plain,
( sk_c6 = sF2
| sk_c8 = sF9 ),
inference(definition_folding,[],[f15,f45,f58]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c6 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f156,plain,
( spl12_10
| spl12_6 ),
inference(avatar_split_clause,[],[f49,f114,f136]) ).
fof(f49,plain,
( sk_c7 = sF4
| sk_c8 = sF0 ),
inference(definition_folding,[],[f17,f42,f48]) ).
fof(f17,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f155,plain,
( spl12_7
| spl12_12 ),
inference(avatar_split_clause,[],[f83,f147,f120]) ).
fof(f83,plain,
( sk_c3 = sF8
| sk_c6 = sF1 ),
inference(definition_folding,[],[f31,f56,f43]) ).
fof(f31,axiom,
( sk_c6 = inverse(sk_c8)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f154,plain,
( spl12_3
| spl12_6 ),
inference(avatar_split_clause,[],[f51,f114,f101]) ).
fof(f51,plain,
( sk_c7 = sF4
| sk_c7 = sF5 ),
inference(definition_folding,[],[f35,f50,f48]) ).
fof(f35,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f153,plain,
( spl12_9
| spl12_1 ),
inference(avatar_split_clause,[],[f90,f92,f130]) ).
fof(f90,plain,
( sk_c8 = sF10
| sk_c7 = sF11 ),
inference(definition_folding,[],[f24,f70,f67]) ).
fof(f24,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f150,plain,
( spl12_6
| spl12_12 ),
inference(avatar_split_clause,[],[f89,f147,f114]) ).
fof(f89,plain,
( sk_c3 = sF8
| sk_c7 = sF4 ),
inference(definition_folding,[],[f29,f48,f56]) ).
fof(f29,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c7 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f140,plain,
( spl12_7
| spl12_10 ),
inference(avatar_split_clause,[],[f44,f136,f120]) ).
fof(f44,plain,
( sk_c8 = sF0
| sk_c6 = sF1 ),
inference(definition_folding,[],[f19,f43,f42]) ).
fof(f19,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c6 = inverse(sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f139,plain,
( spl12_10
| spl12_1 ),
inference(avatar_split_clause,[],[f81,f92,f136]) ).
fof(f81,plain,
( sk_c8 = sF10
| sk_c8 = sF0 ),
inference(definition_folding,[],[f18,f67,f42]) ).
fof(f18,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f133,plain,
( spl12_6
| spl12_9 ),
inference(avatar_split_clause,[],[f71,f130,f114]) ).
fof(f71,plain,
( sk_c7 = sF11
| sk_c7 = sF4 ),
inference(definition_folding,[],[f23,f70,f48]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c7 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f123,plain,
( spl12_3
| spl12_7 ),
inference(avatar_split_clause,[],[f87,f120,f101]) ).
fof(f87,plain,
( sk_c6 = sF1
| sk_c7 = sF5 ),
inference(definition_folding,[],[f37,f50,f43]) ).
fof(f37,axiom,
( sk_c6 = inverse(sk_c8)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f118,plain,
( spl12_5
| spl12_1 ),
inference(avatar_split_clause,[],[f82,f92,f110]) ).
fof(f82,plain,
( sk_c8 = sF10
| sk_c6 = sF3 ),
inference(definition_folding,[],[f6,f67,f46]) ).
fof(f6,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f117,plain,
( spl12_5
| spl12_6 ),
inference(avatar_split_clause,[],[f88,f114,f110]) ).
fof(f88,plain,
( sk_c7 = sF4
| sk_c6 = sF3 ),
inference(definition_folding,[],[f5,f48,f46]) ).
fof(f5,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f108,plain,
( spl12_3
| spl12_4 ),
inference(avatar_split_clause,[],[f85,f105,f101]) ).
fof(f85,plain,
( sk_c6 = sF2
| sk_c7 = sF5 ),
inference(definition_folding,[],[f39,f50,f45]) ).
fof(f39,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f99,plain,
( spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f78,f96,f92]) ).
fof(f78,plain,
( sk_c8 = sF9
| sk_c8 = sF10 ),
inference(definition_folding,[],[f12,f67,f58]) ).
fof(f12,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP337-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:40:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.53 % (29580)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)
% 0.20/0.53 % (29597)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)
% 0.20/0.54 % (29589)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)
% 0.20/0.54 % (29581)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)
% 0.20/0.54 % (29588)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)
% 0.20/0.54 % (29596)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)
% 0.20/0.55 % (29589)Instruction limit reached!
% 0.20/0.55 % (29589)------------------------------
% 0.20/0.55 % (29589)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (29597)Refutation not found, incomplete strategy% (29597)------------------------------
% 0.20/0.56 % (29597)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (29589)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (29589)Termination reason: Unknown
% 0.20/0.56 % (29589)Termination phase: Finite model building preprocessing
% 0.20/0.56
% 0.20/0.56 % (29589)Memory used [KB]: 6012
% 0.20/0.56 % (29589)Time elapsed: 0.007 s
% 0.20/0.56 % (29589)Instructions burned: 7 (million)
% 0.20/0.56 % (29589)------------------------------
% 0.20/0.56 % (29589)------------------------------
% 0.20/0.56 % (29597)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (29597)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56
% 0.20/0.56 % (29597)Memory used [KB]: 5884
% 0.20/0.56 % (29597)Time elapsed: 0.141 s
% 0.20/0.56 % (29597)Instructions burned: 4 (million)
% 0.20/0.56 % (29597)------------------------------
% 0.20/0.56 % (29597)------------------------------
% 0.20/0.56 % (29574)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.57 % (29586)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)
% 0.20/0.57 % (29579)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.57 % (29577)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)
% 0.20/0.57 % (29578)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)
% 0.20/0.57 % (29590)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)
% 0.20/0.57 % (29575)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)
% 0.20/0.57 % (29585)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.57 % (29591)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.57 % (29583)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.58 % (29598)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)
% 0.20/0.58 % (29594)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)
% 0.20/0.58 % (29576)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)
% 0.20/0.58 % (29576)Instruction limit reached!
% 0.20/0.58 % (29576)------------------------------
% 0.20/0.58 % (29576)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (29576)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (29576)Termination reason: Unknown
% 0.20/0.58 % (29576)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (29576)Memory used [KB]: 5884
% 0.20/0.58 % (29576)Time elapsed: 0.003 s
% 0.20/0.58 % (29576)Instructions burned: 4 (million)
% 0.20/0.58 % (29576)------------------------------
% 0.20/0.58 % (29576)------------------------------
% 0.20/0.58 % (29603)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)
% 0.20/0.58 % (29593)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)
% 0.20/0.58 % (29582)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)
% 0.20/0.58 % (29602)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.58 % (29584)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.58 % (29577)Refutation not found, incomplete strategy% (29577)------------------------------
% 0.20/0.58 % (29577)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (29592)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)
% 0.20/0.59 % (29578)Refutation not found, incomplete strategy% (29578)------------------------------
% 0.20/0.59 % (29578)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (29578)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (29578)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.59
% 0.20/0.59 % (29578)Memory used [KB]: 5884
% 0.20/0.59 % (29578)Time elapsed: 0.170 s
% 0.20/0.59 % (29578)Instructions burned: 4 (million)
% 0.20/0.59 % (29578)------------------------------
% 0.20/0.59 % (29578)------------------------------
% 0.20/0.59 % (29587)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)
% 0.20/0.59 % (29600)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.59 % (29587)Instruction limit reached!
% 0.20/0.59 % (29587)------------------------------
% 0.20/0.59 % (29587)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (29587)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (29587)Termination reason: Unknown
% 0.20/0.59 % (29587)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (29587)Memory used [KB]: 5884
% 0.20/0.59 % (29587)Time elapsed: 0.004 s
% 0.20/0.59 % (29587)Instructions burned: 3 (million)
% 0.20/0.59 % (29587)------------------------------
% 0.20/0.59 % (29587)------------------------------
% 0.20/0.59 % (29601)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)
% 0.20/0.59 % (29595)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)
% 0.20/0.59 % (29586)Instruction limit reached!
% 0.20/0.59 % (29586)------------------------------
% 0.20/0.59 % (29586)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (29586)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (29586)Termination reason: Unknown
% 0.20/0.59 % (29586)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (29586)Memory used [KB]: 5884
% 0.20/0.59 % (29586)Time elapsed: 0.178 s
% 0.20/0.59 % (29586)Instructions burned: 6 (million)
% 0.20/0.59 % (29586)------------------------------
% 0.20/0.59 % (29586)------------------------------
% 0.20/0.59 % (29581)Instruction limit reached!
% 0.20/0.59 % (29581)------------------------------
% 0.20/0.59 % (29581)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (29581)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (29581)Termination reason: Unknown
% 0.20/0.59 % (29581)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (29581)Memory used [KB]: 7036
% 0.20/0.59 % (29581)Time elapsed: 0.155 s
% 0.20/0.59 % (29581)Instructions burned: 51 (million)
% 0.20/0.59 % (29581)------------------------------
% 0.20/0.59 % (29581)------------------------------
% 0.20/0.59 % (29599)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)
% 0.20/0.59 % (29595)Refutation not found, incomplete strategy% (29595)------------------------------
% 0.20/0.59 % (29595)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (29595)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (29595)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.59
% 0.20/0.59 % (29595)Memory used [KB]: 5884
% 0.20/0.59 % (29595)Time elapsed: 0.175 s
% 0.20/0.59 % (29595)Instructions burned: 5 (million)
% 0.20/0.59 % (29595)------------------------------
% 0.20/0.59 % (29595)------------------------------
% 0.20/0.59 % (29594)Instruction limit reached!
% 0.20/0.59 % (29594)------------------------------
% 0.20/0.59 % (29594)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (29594)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (29585)Instruction limit reached!
% 0.20/0.59 % (29585)------------------------------
% 0.20/0.59 % (29585)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (29594)Termination reason: Unknown
% 0.20/0.59 % (29594)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (29585)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (29594)Memory used [KB]: 1407
% 0.20/0.59 % (29585)Termination reason: Unknown
% 0.20/0.59 % (29594)Time elapsed: 0.174 s
% 0.20/0.59 % (29585)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (29594)Instructions burned: 7 (million)
% 0.20/0.59 % (29594)------------------------------
% 0.20/0.59 % (29594)------------------------------
% 0.20/0.59 % (29585)Memory used [KB]: 6268
% 0.20/0.59 % (29585)Time elapsed: 0.170 s
% 0.20/0.59 % (29585)Instructions burned: 24 (million)
% 0.20/0.59 % (29585)------------------------------
% 0.20/0.59 % (29585)------------------------------
% 0.20/0.59 % (29577)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (29577)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.59
% 0.20/0.59 % (29577)Memory used [KB]: 5884
% 0.20/0.59 % (29577)Time elapsed: 0.172 s
% 0.20/0.59 % (29577)Instructions burned: 4 (million)
% 0.20/0.59 % (29577)------------------------------
% 0.20/0.59 % (29577)------------------------------
% 0.20/0.59 % (29600)Refutation not found, incomplete strategy% (29600)------------------------------
% 0.20/0.59 % (29600)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (29590)Instruction limit reached!
% 0.20/0.59 % (29590)------------------------------
% 0.20/0.59 % (29590)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (29590)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (29588)Instruction limit reached!
% 0.20/0.59 % (29588)------------------------------
% 0.20/0.59 % (29588)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (29590)Termination reason: Unknown
% 0.20/0.59 % (29590)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (29588)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (29588)Termination reason: Unknown
% 0.20/0.59 % (29590)Memory used [KB]: 5884
% 0.20/0.59 % (29588)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (29590)Time elapsed: 0.005 s
% 0.20/0.59 % (29590)Instructions burned: 3 (million)
% 0.20/0.59 % (29590)------------------------------
% 0.20/0.59 % (29590)------------------------------
% 0.20/0.59 % (29588)Memory used [KB]: 1663
% 0.20/0.59 % (29588)Time elapsed: 0.173 s
% 0.20/0.59 % (29588)Instructions burned: 29 (million)
% 0.20/0.59 % (29588)------------------------------
% 0.20/0.59 % (29588)------------------------------
% 0.20/0.59 % (29584)Instruction limit reached!
% 0.20/0.59 % (29584)------------------------------
% 0.20/0.59 % (29584)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (29584)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (29584)Termination reason: Unknown
% 0.20/0.59 % (29584)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (29584)Memory used [KB]: 5884
% 0.20/0.60 % (29582)Instruction limit reached!
% 0.20/0.60 % (29582)------------------------------
% 0.20/0.60 % (29582)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (29582)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (29582)Termination reason: Unknown
% 0.20/0.60 % (29582)Termination phase: Saturation
% 0.20/0.60
% 0.20/0.60 % (29582)Memory used [KB]: 5884
% 0.20/0.60 % (29582)Time elapsed: 0.172 s
% 0.20/0.60 % (29582)Instructions burned: 4 (million)
% 0.20/0.60 % (29582)------------------------------
% 0.20/0.60 % (29582)------------------------------
% 0.20/0.60 % (29584)Time elapsed: 0.180 s
% 0.20/0.60 % (29584)Instructions burned: 6 (million)
% 0.20/0.60 % (29584)------------------------------
% 0.20/0.60 % (29584)------------------------------
% 0.20/0.60 % (29591)Instruction limit reached!
% 0.20/0.60 % (29591)------------------------------
% 0.20/0.60 % (29591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (29591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (29591)Termination reason: Unknown
% 0.20/0.60 % (29591)Termination phase: Saturation
% 0.20/0.60
% 0.20/0.60 % (29591)Memory used [KB]: 6012
% 0.20/0.60 % (29591)Time elapsed: 0.140 s
% 0.20/0.60 % (29591)Instructions burned: 8 (million)
% 0.20/0.60 % (29591)------------------------------
% 0.20/0.60 % (29591)------------------------------
% 0.20/0.60 % (29600)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (29600)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.60
% 0.20/0.60 % (29600)Memory used [KB]: 5884
% 0.20/0.60 % (29600)Time elapsed: 0.172 s
% 0.20/0.60 % (29600)Instructions burned: 3 (million)
% 0.20/0.60 % (29600)------------------------------
% 0.20/0.60 % (29600)------------------------------
% 0.20/0.60 % (29593)Instruction limit reached!
% 0.20/0.60 % (29593)------------------------------
% 0.20/0.60 % (29593)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (29593)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (29593)Termination reason: Unknown
% 0.20/0.60 % (29593)Termination phase: Saturation
% 0.20/0.60
% 0.20/0.60 % (29593)Memory used [KB]: 6012
% 0.20/0.60 % (29593)Time elapsed: 0.188 s
% 0.20/0.60 % (29593)Instructions burned: 8 (million)
% 0.20/0.60 % (29593)------------------------------
% 0.20/0.60 % (29593)------------------------------
% 0.20/0.60 % (29592)Refutation not found, incomplete strategy% (29592)------------------------------
% 0.20/0.60 % (29592)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (29592)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (29592)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.60
% 0.20/0.60 % (29592)Memory used [KB]: 10490
% 0.20/0.60 % (29592)Time elapsed: 0.188 s
% 0.20/0.60 % (29592)Instructions burned: 8 (million)
% 0.20/0.60 % (29592)------------------------------
% 0.20/0.60 % (29592)------------------------------
% 0.20/0.60 % (29580)Instruction limit reached!
% 0.20/0.60 % (29580)------------------------------
% 0.20/0.60 % (29580)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (29580)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (29580)Termination reason: Unknown
% 0.20/0.60 % (29580)Termination phase: Saturation
% 0.20/0.60
% 0.20/0.60 % (29580)Memory used [KB]: 1663
% 0.20/0.60 % (29580)Time elapsed: 0.183 s
% 0.20/0.60 % (29580)Instructions burned: 49 (million)
% 0.20/0.60 % (29580)------------------------------
% 0.20/0.60 % (29580)------------------------------
% 0.20/0.60 % (29579)Instruction limit reached!
% 0.20/0.60 % (29579)------------------------------
% 0.20/0.60 % (29579)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (29579)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (29579)Termination reason: Unknown
% 0.20/0.60 % (29579)Termination phase: Saturation
% 0.20/0.60
% 0.20/0.60 % (29579)Memory used [KB]: 6140
% 0.20/0.60 % (29579)Time elapsed: 0.173 s
% 0.20/0.60 % (29579)Instructions burned: 26 (million)
% 0.20/0.60 % (29579)------------------------------
% 0.20/0.60 % (29579)------------------------------
% 0.20/0.61 % (29596)Refutation not found, incomplete strategy% (29596)------------------------------
% 0.20/0.61 % (29596)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61 % (29596)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61 % (29596)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.61
% 0.20/0.61 % (29596)Memory used [KB]: 6268
% 0.20/0.61 % (29596)Time elapsed: 0.171 s
% 0.20/0.61 % (29596)Instructions burned: 35 (million)
% 0.20/0.61 % (29596)------------------------------
% 0.20/0.61 % (29596)------------------------------
% 0.20/0.62 % (29602)Instruction limit reached!
% 0.20/0.62 % (29602)------------------------------
% 0.20/0.62 % (29602)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.62 % (29602)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.62 % (29602)Termination reason: Unknown
% 0.20/0.62 % (29602)Termination phase: Saturation
% 0.20/0.62
% 0.20/0.62 % (29602)Memory used [KB]: 6396
% 0.20/0.62 % (29602)Time elapsed: 0.179 s
% 0.20/0.62 % (29602)Instructions burned: 20 (million)
% 0.20/0.62 % (29602)------------------------------
% 0.20/0.62 % (29602)------------------------------
% 0.20/0.64 % (29583)Instruction limit reached!
% 0.20/0.64 % (29583)------------------------------
% 0.20/0.64 % (29583)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.64 % (29583)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.64 % (29583)Termination reason: Unknown
% 0.20/0.64 % (29583)Termination phase: Saturation
% 0.20/0.64
% 0.20/0.64 % (29583)Memory used [KB]: 7036
% 0.20/0.64 % (29583)Time elapsed: 0.165 s
% 0.20/0.64 % (29583)Instructions burned: 53 (million)
% 0.20/0.64 % (29583)------------------------------
% 0.20/0.64 % (29583)------------------------------
% 0.20/0.65 % (29575)Instruction limit reached!
% 0.20/0.65 % (29575)------------------------------
% 0.20/0.65 % (29575)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.66 % (29598)Instruction limit reached!
% 0.20/0.66 % (29598)------------------------------
% 0.20/0.66 % (29598)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.66 % (29598)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.66 % (29598)Termination reason: Unknown
% 0.20/0.67 % (29575)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.67 % (29575)Termination reason: Unknown
% 0.20/0.67 % (29575)Termination phase: Saturation
% 0.20/0.67
% 0.20/0.67 % (29575)Memory used [KB]: 1918
% 0.20/0.67 % (29575)Time elapsed: 0.186 s
% 0.20/0.67 % (29575)Instructions burned: 43 (million)
% 0.20/0.67 % (29575)------------------------------
% 0.20/0.67 % (29575)------------------------------
% 0.20/0.67 % (29598)Termination phase: Saturation
% 0.20/0.67
% 0.20/0.67 % (29598)Memory used [KB]: 6908
% 0.20/0.67 % (29598)Time elapsed: 0.244 s
% 0.20/0.67 % (29598)Instructions burned: 48 (million)
% 0.20/0.67 % (29598)------------------------------
% 0.20/0.67 % (29598)------------------------------
% 0.20/0.67 % (29574)First to succeed.
% 0.20/0.68 % (29574)Refutation found. Thanks to Tanya!
% 0.20/0.68 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.68 % (29574)------------------------------
% 0.20/0.68 % (29574)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.68 % (29574)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.68 % (29574)Termination reason: Refutation
% 0.20/0.68
% 0.20/0.68 % (29574)Memory used [KB]: 6524
% 0.20/0.68 % (29574)Time elapsed: 0.246 s
% 0.20/0.68 % (29574)Instructions burned: 58 (million)
% 0.20/0.68 % (29574)------------------------------
% 0.20/0.68 % (29574)------------------------------
% 0.20/0.68 % (29573)Success in time 0.315 s
%------------------------------------------------------------------------------