TSTP Solution File: GRP338-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP338-1 : 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 : n026.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 2.85s 0.78s
% Output : Refutation 2.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 81
% Syntax : Number of formulae : 562 ( 43 unt; 0 def)
% Number of atoms : 2378 ( 652 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 3591 (1775 ~;1779 |; 0 &)
% ( 37 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 39 ( 37 usr; 38 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 27 con; 0-2 aty)
% Number of variables : 120 ( 120 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3707,plain,
$false,
inference(avatar_sat_refutation,[],[f136,f141,f146,f155,f164,f174,f180,f181,f182,f189,f195,f196,f200,f201,f210,f213,f214,f217,f218,f219,f220,f236,f238,f239,f241,f242,f279,f297,f319,f325,f360,f407,f477,f491,f496,f662,f683,f740,f765,f773,f921,f925,f930,f979,f982,f991,f1022,f1027,f1060,f1187,f1561,f1564,f1588,f1727,f1910,f1993,f2049,f2218,f2253,f2257,f2267,f2573,f2655,f2718,f2734,f3186,f3201,f3352,f3458,f3706]) ).
fof(f3706,plain,
( ~ spl15_19
| ~ spl15_21
| ~ spl15_26
| ~ spl15_29
| ~ spl15_30 ),
inference(avatar_contradiction_clause,[],[f3705]) ).
fof(f3705,plain,
( $false
| ~ spl15_19
| ~ spl15_21
| ~ spl15_26
| ~ spl15_29
| ~ spl15_30 ),
inference(subsumption_resolution,[],[f3699,f3456]) ).
fof(f3456,plain,
( identity = inverse(identity)
| ~ spl15_26
| ~ spl15_29
| ~ spl15_30 ),
inference(forward_demodulation,[],[f295,f2862]) ).
fof(f2862,plain,
( identity = sk_c10
| ~ spl15_29
| ~ spl15_30 ),
inference(forward_demodulation,[],[f323,f316]) ).
fof(f316,plain,
( identity = sk_c9
| ~ spl15_29 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f315,plain,
( spl15_29
<=> identity = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_29])]) ).
fof(f323,plain,
( sk_c10 = sk_c9
| ~ spl15_30 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f322,plain,
( spl15_30
<=> sk_c10 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_30])]) ).
fof(f295,plain,
( sk_c10 = inverse(identity)
| ~ spl15_26 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f294,plain,
( spl15_26
<=> sk_c10 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_26])]) ).
fof(f3699,plain,
( identity != inverse(identity)
| ~ spl15_19
| ~ spl15_21
| ~ spl15_29
| ~ spl15_30 ),
inference(trivial_inequality_removal,[],[f3696]) ).
fof(f3696,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl15_19
| ~ spl15_21
| ~ spl15_29
| ~ spl15_30 ),
inference(superposition,[],[f3492,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f3492,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl15_19
| ~ spl15_21
| ~ spl15_29
| ~ spl15_30 ),
inference(forward_demodulation,[],[f3491,f271]) ).
fof(f271,plain,
( identity = sk_c11
| ~ spl15_21 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f270,plain,
( spl15_21
<=> identity = sk_c11 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_21])]) ).
fof(f3491,plain,
( ! [X5] :
( sk_c11 != inverse(X5)
| identity != multiply(X5,identity) )
| ~ spl15_19
| ~ spl15_21
| ~ spl15_29
| ~ spl15_30 ),
inference(forward_demodulation,[],[f3490,f2862]) ).
fof(f3490,plain,
( ! [X5] :
( sk_c10 != multiply(X5,identity)
| sk_c11 != inverse(X5) )
| ~ spl15_19
| ~ spl15_21 ),
inference(forward_demodulation,[],[f232,f271]) ).
fof(f232,plain,
( ! [X5] :
( sk_c10 != multiply(X5,sk_c11)
| sk_c11 != inverse(X5) )
| ~ spl15_19 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f231,plain,
( spl15_19
<=> ! [X5] :
( sk_c10 != multiply(X5,sk_c11)
| sk_c11 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_19])]) ).
fof(f3458,plain,
( ~ spl15_20
| ~ spl15_21
| ~ spl15_26
| ~ spl15_29
| ~ spl15_30 ),
inference(avatar_contradiction_clause,[],[f3457]) ).
fof(f3457,plain,
( $false
| ~ spl15_20
| ~ spl15_21
| ~ spl15_26
| ~ spl15_29
| ~ spl15_30 ),
inference(subsumption_resolution,[],[f3456,f3404]) ).
fof(f3404,plain,
( identity != inverse(identity)
| ~ spl15_20
| ~ spl15_21
| ~ spl15_29
| ~ spl15_30 ),
inference(trivial_inequality_removal,[],[f3400]) ).
fof(f3400,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl15_20
| ~ spl15_21
| ~ spl15_29
| ~ spl15_30 ),
inference(superposition,[],[f3306,f1]) ).
fof(f3306,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl15_20
| ~ spl15_21
| ~ spl15_29
| ~ spl15_30 ),
inference(forward_demodulation,[],[f3305,f271]) ).
fof(f3305,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c11 != multiply(X3,identity) )
| ~ spl15_20
| ~ spl15_21
| ~ spl15_29
| ~ spl15_30 ),
inference(forward_demodulation,[],[f3304,f2862]) ).
fof(f3304,plain,
( ! [X3] :
( sk_c11 != multiply(X3,sk_c10)
| identity != inverse(X3) )
| ~ spl15_20
| ~ spl15_21 ),
inference(forward_demodulation,[],[f235,f271]) ).
fof(f235,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| sk_c11 != multiply(X3,sk_c10) )
| ~ spl15_20 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f234,plain,
( spl15_20
<=> ! [X3] :
( sk_c11 != inverse(X3)
| sk_c11 != multiply(X3,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_20])]) ).
fof(f3352,plain,
( spl15_11
| ~ spl15_29
| ~ spl15_30
| ~ spl15_46 ),
inference(avatar_contradiction_clause,[],[f3351]) ).
fof(f3351,plain,
( $false
| spl15_11
| ~ spl15_29
| ~ spl15_30
| ~ spl15_46 ),
inference(subsumption_resolution,[],[f3350,f2862]) ).
fof(f3350,plain,
( identity != sk_c10
| spl15_11
| ~ spl15_46 ),
inference(forward_demodulation,[],[f172,f613]) ).
fof(f613,plain,
( identity = sF6
| ~ spl15_46 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f612,plain,
( spl15_46
<=> identity = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_46])]) ).
fof(f172,plain,
( sk_c10 != sF6
| spl15_11 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f171,plain,
( spl15_11
<=> sk_c10 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).
fof(f3201,plain,
( ~ spl15_11
| ~ spl15_20
| ~ spl15_21
| ~ spl15_26
| ~ spl15_34 ),
inference(avatar_contradiction_clause,[],[f3200]) ).
fof(f3200,plain,
( $false
| ~ spl15_11
| ~ spl15_20
| ~ spl15_21
| ~ spl15_26
| ~ spl15_34 ),
inference(subsumption_resolution,[],[f3199,f2972]) ).
fof(f2972,plain,
( identity = inverse(identity)
| ~ spl15_11
| ~ spl15_21
| ~ spl15_26
| ~ spl15_34 ),
inference(forward_demodulation,[],[f295,f2799]) ).
fof(f2799,plain,
( identity = sk_c10
| ~ spl15_11
| ~ spl15_21
| ~ spl15_34 ),
inference(forward_demodulation,[],[f2798,f1]) ).
fof(f2798,plain,
( sk_c10 = multiply(identity,identity)
| ~ spl15_11
| ~ spl15_21
| ~ spl15_34 ),
inference(forward_demodulation,[],[f2797,f545]) ).
fof(f545,plain,
( identity = sk_c3
| ~ spl15_34 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f544,plain,
( spl15_34
<=> identity = sk_c3 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_34])]) ).
fof(f2797,plain,
( sk_c10 = multiply(sk_c3,identity)
| ~ spl15_11
| ~ spl15_21 ),
inference(forward_demodulation,[],[f1664,f271]) ).
fof(f1664,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl15_11 ),
inference(forward_demodulation,[],[f67,f173]) ).
fof(f173,plain,
( sk_c10 = sF6
| ~ spl15_11 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f67,plain,
multiply(sk_c3,sk_c11) = sF6,
introduced(function_definition,[]) ).
fof(f3199,plain,
( identity != inverse(identity)
| ~ spl15_11
| ~ spl15_20
| ~ spl15_21
| ~ spl15_26
| ~ spl15_34 ),
inference(forward_demodulation,[],[f3195,f2972]) ).
fof(f3195,plain,
( identity != inverse(inverse(identity))
| ~ spl15_11
| ~ spl15_20
| ~ spl15_21
| ~ spl15_34 ),
inference(trivial_inequality_removal,[],[f3193]) ).
fof(f3193,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl15_11
| ~ spl15_20
| ~ spl15_21
| ~ spl15_34 ),
inference(superposition,[],[f3189,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f3189,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl15_11
| ~ spl15_20
| ~ spl15_21
| ~ spl15_34 ),
inference(forward_demodulation,[],[f3188,f271]) ).
fof(f3188,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c11 != multiply(X3,identity) )
| ~ spl15_11
| ~ spl15_20
| ~ spl15_21
| ~ spl15_34 ),
inference(forward_demodulation,[],[f3187,f271]) ).
fof(f3187,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| sk_c11 != multiply(X3,identity) )
| ~ spl15_11
| ~ spl15_20
| ~ spl15_21
| ~ spl15_34 ),
inference(forward_demodulation,[],[f235,f2799]) ).
fof(f3186,plain,
( ~ spl15_11
| ~ spl15_19
| ~ spl15_21
| ~ spl15_26
| ~ spl15_34 ),
inference(avatar_contradiction_clause,[],[f3185]) ).
fof(f3185,plain,
( $false
| ~ spl15_11
| ~ spl15_19
| ~ spl15_21
| ~ spl15_26
| ~ spl15_34 ),
inference(subsumption_resolution,[],[f3180,f2972]) ).
fof(f3180,plain,
( identity != inverse(identity)
| ~ spl15_11
| ~ spl15_19
| ~ spl15_21
| ~ spl15_34 ),
inference(trivial_inequality_removal,[],[f3177]) ).
fof(f3177,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl15_11
| ~ spl15_19
| ~ spl15_21
| ~ spl15_34 ),
inference(superposition,[],[f3027,f1]) ).
fof(f3027,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl15_11
| ~ spl15_19
| ~ spl15_21
| ~ spl15_34 ),
inference(forward_demodulation,[],[f3026,f271]) ).
fof(f3026,plain,
( ! [X5] :
( sk_c11 != inverse(X5)
| identity != multiply(X5,identity) )
| ~ spl15_11
| ~ spl15_19
| ~ spl15_21
| ~ spl15_34 ),
inference(forward_demodulation,[],[f2807,f2799]) ).
fof(f2807,plain,
( ! [X5] :
( sk_c10 != multiply(X5,identity)
| sk_c11 != inverse(X5) )
| ~ spl15_19
| ~ spl15_21 ),
inference(forward_demodulation,[],[f232,f271]) ).
fof(f2734,plain,
( ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_20
| ~ spl15_21
| ~ spl15_26
| ~ spl15_35
| ~ spl15_49 ),
inference(avatar_contradiction_clause,[],[f2733]) ).
fof(f2733,plain,
( $false
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_20
| ~ spl15_21
| ~ spl15_26
| ~ spl15_35
| ~ spl15_49 ),
inference(subsumption_resolution,[],[f2732,f2644]) ).
fof(f2644,plain,
( identity = inverse(identity)
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_26
| ~ spl15_35
| ~ spl15_49 ),
inference(forward_demodulation,[],[f295,f2542]) ).
fof(f2542,plain,
( identity = sk_c10
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_35
| ~ spl15_49 ),
inference(forward_demodulation,[],[f2485,f2]) ).
fof(f2485,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_35
| ~ spl15_49 ),
inference(backward_demodulation,[],[f2284,f2471]) ).
fof(f2471,plain,
( sk_c11 = sk_c8
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_35
| ~ spl15_49 ),
inference(backward_demodulation,[],[f1449,f2470]) ).
fof(f2470,plain,
( sk_c11 = multiply(sk_c8,sk_c11)
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_35
| ~ spl15_49 ),
inference(forward_demodulation,[],[f2463,f2459]) ).
fof(f2459,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_14
| ~ spl15_15
| ~ spl15_35 ),
inference(backward_demodulation,[],[f2430,f2453]) ).
fof(f2453,plain,
( ! [X17] : multiply(sk_c11,X17) = X17
| ~ spl15_1
| ~ spl15_5
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f1433,f2452]) ).
fof(f2452,plain,
( ! [X19] : multiply(sk_c5,multiply(sk_c8,X19)) = X19
| ~ spl15_1
| ~ spl15_5
| ~ spl15_14 ),
inference(backward_demodulation,[],[f734,f2451]) ).
fof(f2451,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,X0)
| ~ spl15_1
| ~ spl15_5
| ~ spl15_14 ),
inference(forward_demodulation,[],[f2450,f1]) ).
fof(f2450,plain,
( ! [X0] : multiply(sk_c8,multiply(identity,X0)) = multiply(sk_c7,X0)
| ~ spl15_1
| ~ spl15_5
| ~ spl15_14 ),
inference(superposition,[],[f3,f737]) ).
fof(f737,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl15_1
| ~ spl15_5
| ~ spl15_14 ),
inference(forward_demodulation,[],[f733,f701]) ).
fof(f701,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl15_14 ),
inference(backward_demodulation,[],[f87,f193]) ).
fof(f193,plain,
( sk_c8 = sF13
| ~ spl15_14 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f191,plain,
( spl15_14
<=> sk_c8 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).
fof(f87,plain,
inverse(sk_c5) = sF13,
introduced(function_definition,[]) ).
fof(f733,plain,
( sk_c7 = multiply(inverse(sk_c5),identity)
| ~ spl15_1
| ~ spl15_5
| ~ spl15_14 ),
inference(backward_demodulation,[],[f401,f730]) ).
fof(f730,plain,
( sk_c5 = sF12
| ~ spl15_1
| ~ spl15_5
| ~ spl15_14 ),
inference(forward_demodulation,[],[f126,f708]) ).
fof(f708,plain,
( sk_c5 = sk_c6
| ~ spl15_5
| ~ spl15_14 ),
inference(forward_demodulation,[],[f704,f698]) ).
fof(f698,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl15_14 ),
inference(backward_demodulation,[],[f398,f193]) ).
fof(f398,plain,
sk_c5 = multiply(inverse(sF13),identity),
inference(superposition,[],[f353,f256]) ).
fof(f256,plain,
identity = multiply(sF13,sk_c5),
inference(superposition,[],[f2,f87]) ).
fof(f353,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3,
inference(forward_demodulation,[],[f327,f1]) ).
fof(f327,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = multiply(identity,X3),
inference(superposition,[],[f3,f2]) ).
fof(f704,plain,
( sk_c6 = multiply(inverse(sk_c8),identity)
| ~ spl15_5 ),
inference(backward_demodulation,[],[f402,f145]) ).
fof(f145,plain,
( sk_c8 = sF8
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f143,plain,
( spl15_5
<=> sk_c8 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f402,plain,
sk_c6 = multiply(inverse(sF8),identity),
inference(superposition,[],[f353,f258]) ).
fof(f258,plain,
identity = multiply(sF8,sk_c6),
inference(superposition,[],[f2,f71]) ).
fof(f71,plain,
inverse(sk_c6) = sF8,
introduced(function_definition,[]) ).
fof(f126,plain,
( sk_c6 = sF12
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl15_1
<=> sk_c6 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f401,plain,
sk_c7 = multiply(inverse(sF12),identity),
inference(superposition,[],[f353,f257]) ).
fof(f257,plain,
identity = multiply(sF12,sk_c7),
inference(superposition,[],[f2,f82]) ).
fof(f82,plain,
inverse(sk_c7) = sF12,
introduced(function_definition,[]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f734,plain,
( ! [X19] : multiply(sk_c5,multiply(sk_c7,X19)) = X19
| ~ spl15_1
| ~ spl15_5
| ~ spl15_14 ),
inference(backward_demodulation,[],[f351,f730]) ).
fof(f351,plain,
! [X19] : multiply(sF12,multiply(sk_c7,X19)) = X19,
inference(forward_demodulation,[],[f340,f1]) ).
fof(f340,plain,
! [X19] : multiply(sF12,multiply(sk_c7,X19)) = multiply(identity,X19),
inference(superposition,[],[f3,f257]) ).
fof(f1433,plain,
( ! [X17] : multiply(sk_c11,X17) = multiply(sk_c5,multiply(sk_c8,X17))
| ~ spl15_15 ),
inference(forward_demodulation,[],[f338,f205]) ).
fof(f205,plain,
( sk_c11 = sF2
| ~ spl15_15 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f203,plain,
( spl15_15
<=> sk_c11 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).
fof(f338,plain,
! [X17] : multiply(sF2,X17) = multiply(sk_c5,multiply(sk_c8,X17)),
inference(superposition,[],[f3,f60]) ).
fof(f60,plain,
multiply(sk_c5,sk_c8) = sF2,
introduced(function_definition,[]) ).
fof(f2430,plain,
( inverse(sk_c11) = multiply(sk_c11,sk_c11)
| ~ spl15_9
| ~ spl15_35 ),
inference(forward_demodulation,[],[f2428,f1298]) ).
fof(f1298,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl15_9 ),
inference(forward_demodulation,[],[f78,f163]) ).
fof(f163,plain,
( sk_c11 = sF11
| ~ spl15_9 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f161,plain,
( spl15_9
<=> sk_c11 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f78,plain,
inverse(sk_c3) = sF11,
introduced(function_definition,[]) ).
fof(f2428,plain,
( inverse(sk_c11) = multiply(inverse(sk_c3),sk_c11)
| ~ spl15_9
| ~ spl15_35 ),
inference(superposition,[],[f353,f2258]) ).
fof(f2258,plain,
( sk_c11 = multiply(sk_c3,inverse(sk_c11))
| ~ spl15_9
| ~ spl15_35 ),
inference(backward_demodulation,[],[f549,f163]) ).
fof(f549,plain,
( multiply(sk_c3,inverse(sF11)) = sF11
| ~ spl15_35 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f548,plain,
( spl15_35
<=> multiply(sk_c3,inverse(sF11)) = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_35])]) ).
fof(f2463,plain,
( sk_c11 = multiply(sk_c8,inverse(sk_c11))
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_35
| ~ spl15_49 ),
inference(backward_demodulation,[],[f1469,f2459]) ).
fof(f1469,plain,
( inverse(sk_c11) = multiply(sk_c8,inverse(inverse(sk_c11)))
| ~ spl15_13
| ~ spl15_49 ),
inference(forward_demodulation,[],[f634,f187]) ).
fof(f187,plain,
( sk_c11 = sF7
| ~ spl15_13 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f185,plain,
( spl15_13
<=> sk_c11 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).
fof(f634,plain,
( multiply(sk_c8,inverse(inverse(sF7))) = inverse(sF7)
| ~ spl15_49 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f633,plain,
( spl15_49
<=> multiply(sk_c8,inverse(inverse(sF7))) = inverse(sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_49])]) ).
fof(f1449,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| ~ spl15_14
| ~ spl15_15 ),
inference(forward_demodulation,[],[f697,f205]) ).
fof(f697,plain,
( sk_c8 = multiply(sk_c8,sF2)
| ~ spl15_14 ),
inference(backward_demodulation,[],[f412,f193]) ).
fof(f412,plain,
sk_c8 = multiply(sF13,sF2),
inference(forward_demodulation,[],[f399,f87]) ).
fof(f399,plain,
sk_c8 = multiply(inverse(sk_c5),sF2),
inference(superposition,[],[f353,f60]) ).
fof(f2284,plain,
( sk_c10 = multiply(inverse(sk_c8),sk_c11)
| ~ spl15_13 ),
inference(superposition,[],[f353,f1464]) ).
fof(f1464,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| ~ spl15_13 ),
inference(forward_demodulation,[],[f69,f187]) ).
fof(f69,plain,
multiply(sk_c8,sk_c10) = sF7,
introduced(function_definition,[]) ).
fof(f2732,plain,
( identity != inverse(identity)
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_20
| ~ spl15_21
| ~ spl15_26
| ~ spl15_35
| ~ spl15_49 ),
inference(forward_demodulation,[],[f2728,f2644]) ).
fof(f2728,plain,
( identity != inverse(inverse(identity))
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_20
| ~ spl15_21
| ~ spl15_35
| ~ spl15_49 ),
inference(trivial_inequality_removal,[],[f2726]) ).
fof(f2726,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_20
| ~ spl15_21
| ~ spl15_35
| ~ spl15_49 ),
inference(superposition,[],[f2721,f2]) ).
fof(f2721,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_20
| ~ spl15_21
| ~ spl15_35
| ~ spl15_49 ),
inference(forward_demodulation,[],[f2720,f271]) ).
fof(f2720,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c11 != multiply(X3,identity) )
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_20
| ~ spl15_21
| ~ spl15_35
| ~ spl15_49 ),
inference(forward_demodulation,[],[f2719,f2542]) ).
fof(f2719,plain,
( ! [X3] :
( sk_c11 != multiply(X3,sk_c10)
| identity != inverse(X3) )
| ~ spl15_20
| ~ spl15_21 ),
inference(forward_demodulation,[],[f235,f271]) ).
fof(f2718,plain,
( ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_19
| ~ spl15_21
| ~ spl15_26
| ~ spl15_35
| ~ spl15_49 ),
inference(avatar_contradiction_clause,[],[f2717]) ).
fof(f2717,plain,
( $false
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_19
| ~ spl15_21
| ~ spl15_26
| ~ spl15_35
| ~ spl15_49 ),
inference(subsumption_resolution,[],[f2716,f2644]) ).
fof(f2716,plain,
( identity != inverse(identity)
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_19
| ~ spl15_21
| ~ spl15_26
| ~ spl15_35
| ~ spl15_49 ),
inference(forward_demodulation,[],[f2712,f2644]) ).
fof(f2712,plain,
( identity != inverse(inverse(identity))
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_19
| ~ spl15_21
| ~ spl15_35
| ~ spl15_49 ),
inference(trivial_inequality_removal,[],[f2710]) ).
fof(f2710,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_19
| ~ spl15_21
| ~ spl15_35
| ~ spl15_49 ),
inference(superposition,[],[f2685,f2]) ).
fof(f2685,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_19
| ~ spl15_21
| ~ spl15_35
| ~ spl15_49 ),
inference(forward_demodulation,[],[f2684,f271]) ).
fof(f2684,plain,
( ! [X5] :
( identity != multiply(X5,sk_c11)
| identity != inverse(X5) )
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_19
| ~ spl15_21
| ~ spl15_35
| ~ spl15_49 ),
inference(backward_demodulation,[],[f2656,f271]) ).
fof(f2656,plain,
( ! [X5] :
( sk_c11 != inverse(X5)
| identity != multiply(X5,sk_c11) )
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_19
| ~ spl15_35
| ~ spl15_49 ),
inference(forward_demodulation,[],[f232,f2542]) ).
fof(f2655,plain,
( spl15_21
| ~ spl15_13
| ~ spl15_51 ),
inference(avatar_split_clause,[],[f2654,f640,f185,f270]) ).
fof(f640,plain,
( spl15_51
<=> identity = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_51])]) ).
fof(f2654,plain,
( identity = sk_c11
| ~ spl15_13
| ~ spl15_51 ),
inference(backward_demodulation,[],[f187,f641]) ).
fof(f641,plain,
( identity = sF7
| ~ spl15_51 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f2573,plain,
( ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_11
| ~ spl15_14
| ~ spl15_15
| spl15_25 ),
inference(avatar_contradiction_clause,[],[f2572]) ).
fof(f2572,plain,
( $false
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_11
| ~ spl15_14
| ~ spl15_15
| spl15_25 ),
inference(subsumption_resolution,[],[f2458,f292]) ).
fof(f292,plain,
( sk_c10 != sk_c11
| spl15_25 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f290,plain,
( spl15_25
<=> sk_c10 = sk_c11 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_25])]) ).
fof(f2458,plain,
( sk_c10 = sk_c11
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_11
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f2264,f2453]) ).
fof(f2264,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl15_9
| ~ spl15_11 ),
inference(forward_demodulation,[],[f1656,f163]) ).
fof(f1656,plain,
( sk_c11 = multiply(sF11,sk_c10)
| ~ spl15_11 ),
inference(forward_demodulation,[],[f410,f173]) ).
fof(f410,plain,
sk_c11 = multiply(sF11,sF6),
inference(forward_demodulation,[],[f394,f78]) ).
fof(f394,plain,
sk_c11 = multiply(inverse(sk_c3),sF6),
inference(superposition,[],[f353,f67]) ).
fof(f2267,plain,
( ~ spl15_30
| spl15_2
| ~ spl15_13
| ~ spl15_27 ),
inference(avatar_split_clause,[],[f2266,f299,f185,f128,f322]) ).
fof(f128,plain,
( spl15_2
<=> sk_c9 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f299,plain,
( spl15_27
<=> sk_c10 = inverse(sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_27])]) ).
fof(f2266,plain,
( sk_c10 != sk_c9
| spl15_2
| ~ spl15_13
| ~ spl15_27 ),
inference(forward_demodulation,[],[f129,f2263]) ).
fof(f2263,plain,
( sk_c10 = sF10
| ~ spl15_13
| ~ spl15_27 ),
inference(backward_demodulation,[],[f75,f2262]) ).
fof(f2262,plain,
( sk_c10 = multiply(sk_c10,sk_c11)
| ~ spl15_13
| ~ spl15_27 ),
inference(forward_demodulation,[],[f1430,f300]) ).
fof(f300,plain,
( sk_c10 = inverse(sk_c8)
| ~ spl15_27 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f1430,plain,
( sk_c10 = multiply(inverse(sk_c8),sk_c11)
| ~ spl15_13 ),
inference(forward_demodulation,[],[f391,f187]) ).
fof(f391,plain,
sk_c10 = multiply(inverse(sk_c8),sF7),
inference(superposition,[],[f353,f69]) ).
fof(f75,plain,
multiply(sk_c10,sk_c11) = sF10,
introduced(function_definition,[]) ).
fof(f129,plain,
( sk_c9 != sF10
| spl15_2 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f2257,plain,
( ~ spl15_1
| ~ spl15_5
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25
| spl15_43 ),
inference(avatar_contradiction_clause,[],[f2256]) ).
fof(f2256,plain,
( $false
| ~ spl15_1
| ~ spl15_5
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25
| spl15_43 ),
inference(subsumption_resolution,[],[f2255,f597]) ).
fof(f597,plain,
( identity != sk_c7
| spl15_43 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f595,plain,
( spl15_43
<=> identity = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_43])]) ).
fof(f2255,plain,
( identity = sk_c7
| ~ spl15_1
| ~ spl15_5
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25 ),
inference(forward_demodulation,[],[f2254,f1]) ).
fof(f2254,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl15_1
| ~ spl15_5
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25 ),
inference(forward_demodulation,[],[f1874,f2020]) ).
fof(f2020,plain,
( identity = sk_c10
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25 ),
inference(forward_demodulation,[],[f1897,f2]) ).
fof(f1897,plain,
( sk_c10 = multiply(inverse(sk_c10),sk_c10)
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25 ),
inference(forward_demodulation,[],[f1896,f1870]) ).
fof(f1870,plain,
( sk_c10 = sk_c8
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25 ),
inference(backward_demodulation,[],[f1637,f1574]) ).
fof(f1574,plain,
( sk_c10 = multiply(sk_c8,sk_c10)
| ~ spl15_13
| ~ spl15_25 ),
inference(backward_demodulation,[],[f1464,f291]) ).
fof(f291,plain,
( sk_c10 = sk_c11
| ~ spl15_25 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f1637,plain,
( sk_c8 = multiply(sk_c8,sk_c10)
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25 ),
inference(forward_demodulation,[],[f1449,f291]) ).
fof(f1896,plain,
( sk_c10 = multiply(inverse(sk_c8),sk_c10)
| ~ spl15_13
| ~ spl15_25 ),
inference(forward_demodulation,[],[f1430,f291]) ).
fof(f1874,plain,
( sk_c7 = multiply(sk_c10,identity)
| ~ spl15_1
| ~ spl15_5
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25 ),
inference(backward_demodulation,[],[f737,f1870]) ).
fof(f2253,plain,
( ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25
| spl15_34 ),
inference(avatar_contradiction_clause,[],[f2252]) ).
fof(f2252,plain,
( $false
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25
| spl15_34 ),
inference(subsumption_resolution,[],[f2251,f546]) ).
fof(f546,plain,
( identity != sk_c3
| spl15_34 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f2251,plain,
( identity = sk_c3
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25 ),
inference(forward_demodulation,[],[f2250,f2]) ).
fof(f2250,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25 ),
inference(forward_demodulation,[],[f1670,f2020]) ).
fof(f1670,plain,
( sk_c3 = multiply(inverse(sk_c10),identity)
| ~ spl15_9
| ~ spl15_25 ),
inference(forward_demodulation,[],[f1272,f291]) ).
fof(f1272,plain,
( sk_c3 = multiply(inverse(sk_c11),identity)
| ~ spl15_9 ),
inference(forward_demodulation,[],[f396,f163]) ).
fof(f396,plain,
sk_c3 = multiply(inverse(sF11),identity),
inference(superposition,[],[f353,f254]) ).
fof(f254,plain,
identity = multiply(sF11,sk_c3),
inference(superposition,[],[f2,f78]) ).
fof(f2218,plain,
( ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25
| spl15_51 ),
inference(avatar_contradiction_clause,[],[f2217]) ).
fof(f2217,plain,
( $false
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25
| spl15_51 ),
inference(subsumption_resolution,[],[f2216,f642]) ).
fof(f642,plain,
( identity != sF7
| spl15_51 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f2216,plain,
( identity = sF7
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25 ),
inference(forward_demodulation,[],[f1569,f2020]) ).
fof(f1569,plain,
( sk_c10 = sF7
| ~ spl15_13
| ~ spl15_25 ),
inference(backward_demodulation,[],[f187,f291]) ).
fof(f2049,plain,
( ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_9
| ~ spl15_11
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25
| spl15_42
| ~ spl15_43 ),
inference(avatar_contradiction_clause,[],[f2048]) ).
fof(f2048,plain,
( $false
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_9
| ~ spl15_11
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25
| spl15_42
| ~ spl15_43 ),
inference(subsumption_resolution,[],[f2047,f584]) ).
fof(f584,plain,
( identity != sk_c4
| spl15_42 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f582,plain,
( spl15_42
<=> identity = sk_c4 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_42])]) ).
fof(f2047,plain,
( identity = sk_c4
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_9
| ~ spl15_11
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25
| ~ spl15_43 ),
inference(forward_demodulation,[],[f2038,f2]) ).
fof(f2038,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_9
| ~ spl15_11
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25
| ~ spl15_43 ),
inference(backward_demodulation,[],[f978,f2037]) ).
fof(f2037,plain,
( identity = sk_c10
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_11
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25
| ~ spl15_43 ),
inference(backward_demodulation,[],[f1857,f2035]) ).
fof(f2035,plain,
( identity = multiply(sk_c10,sk_c10)
| ~ spl15_1
| ~ spl15_5
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25
| ~ spl15_43 ),
inference(backward_demodulation,[],[f2030,f2034]) ).
fof(f2034,plain,
( sk_c10 = sk_c5
| ~ spl15_1
| ~ spl15_5
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25
| ~ spl15_43 ),
inference(forward_demodulation,[],[f2033,f1870]) ).
fof(f2033,plain,
( sk_c5 = sk_c8
| ~ spl15_1
| ~ spl15_5
| ~ spl15_12
| ~ spl15_14
| ~ spl15_43 ),
inference(forward_demodulation,[],[f731,f2032]) ).
fof(f2032,plain,
( ! [X19] : multiply(sk_c5,X19) = X19
| ~ spl15_1
| ~ spl15_5
| ~ spl15_14
| ~ spl15_43 ),
inference(forward_demodulation,[],[f2031,f1]) ).
fof(f2031,plain,
( ! [X19] : multiply(sk_c5,multiply(identity,X19)) = X19
| ~ spl15_1
| ~ spl15_5
| ~ spl15_14
| ~ spl15_43 ),
inference(forward_demodulation,[],[f734,f596]) ).
fof(f596,plain,
( identity = sk_c7
| ~ spl15_43 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f731,plain,
( sk_c8 = multiply(sk_c5,sk_c5)
| ~ spl15_1
| ~ spl15_5
| ~ spl15_12
| ~ spl15_14 ),
inference(backward_demodulation,[],[f714,f730]) ).
fof(f714,plain,
( sk_c8 = multiply(sF12,sk_c5)
| ~ spl15_5
| ~ spl15_12
| ~ spl15_14 ),
inference(backward_demodulation,[],[f411,f713]) ).
fof(f713,plain,
( sk_c5 = sF9
| ~ spl15_5
| ~ spl15_12
| ~ spl15_14 ),
inference(forward_demodulation,[],[f179,f708]) ).
fof(f179,plain,
( sk_c6 = sF9
| ~ spl15_12 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f177,plain,
( spl15_12
<=> sk_c6 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).
fof(f411,plain,
sk_c8 = multiply(sF12,sF9),
inference(forward_demodulation,[],[f400,f82]) ).
fof(f400,plain,
sk_c8 = multiply(inverse(sk_c7),sF9),
inference(superposition,[],[f353,f73]) ).
fof(f73,plain,
multiply(sk_c7,sk_c8) = sF9,
introduced(function_definition,[]) ).
fof(f2030,plain,
( identity = multiply(sk_c10,sk_c5)
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25 ),
inference(forward_demodulation,[],[f700,f1870]) ).
fof(f700,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl15_14 ),
inference(backward_demodulation,[],[f256,f193]) ).
fof(f1857,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl15_9
| ~ spl15_11
| ~ spl15_25 ),
inference(forward_demodulation,[],[f1657,f291]) ).
fof(f1657,plain,
( sk_c11 = multiply(sk_c10,sk_c10)
| ~ spl15_9
| ~ spl15_11
| ~ spl15_25 ),
inference(forward_demodulation,[],[f1656,f1567]) ).
fof(f1567,plain,
( sk_c10 = sF11
| ~ spl15_9
| ~ spl15_25 ),
inference(backward_demodulation,[],[f163,f291]) ).
fof(f978,plain,
( sk_c4 = multiply(inverse(sk_c10),identity)
| ~ spl15_4 ),
inference(backward_demodulation,[],[f397,f140]) ).
fof(f140,plain,
( sk_c10 = sF14
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f138,plain,
( spl15_4
<=> sk_c10 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f397,plain,
sk_c4 = multiply(inverse(sF14),identity),
inference(superposition,[],[f353,f255]) ).
fof(f255,plain,
identity = multiply(sF14,sk_c4),
inference(superposition,[],[f2,f91]) ).
fof(f91,plain,
inverse(sk_c4) = sF14,
introduced(function_definition,[]) ).
fof(f1993,plain,
( ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| spl15_22
| ~ spl15_25
| ~ spl15_26 ),
inference(avatar_contradiction_clause,[],[f1992]) ).
fof(f1992,plain,
( $false
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| spl15_22
| ~ spl15_25
| ~ spl15_26 ),
inference(subsumption_resolution,[],[f1991,f1976]) ).
fof(f1976,plain,
( identity = inverse(identity)
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25
| ~ spl15_26 ),
inference(backward_demodulation,[],[f1940,f1946]) ).
fof(f1946,plain,
( identity = sk_c10
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1942,f1630]) ).
fof(f1630,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl15_26 ),
inference(forward_demodulation,[],[f385,f295]) ).
fof(f385,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f353,f1]) ).
fof(f1942,plain,
( sk_c10 = multiply(sk_c10,identity)
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25
| ~ spl15_26 ),
inference(backward_demodulation,[],[f1939,f1940]) ).
fof(f1939,plain,
( sk_c10 = multiply(inverse(sk_c10),identity)
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25
| ~ spl15_26 ),
inference(backward_demodulation,[],[f1670,f1935]) ).
fof(f1935,plain,
( sk_c10 = sk_c3
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1934,f1899]) ).
fof(f1899,plain,
( sk_c10 = sk_c5
| ~ spl15_1
| ~ spl15_5
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1898,f1870]) ).
fof(f1898,plain,
( sk_c5 = sk_c8
| ~ spl15_1
| ~ spl15_5
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25
| ~ spl15_26 ),
inference(forward_demodulation,[],[f731,f1883]) ).
fof(f1883,plain,
( ! [X17] : multiply(sk_c5,X17) = X17
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1879,f1630]) ).
fof(f1879,plain,
( ! [X17] : multiply(sk_c5,multiply(sk_c10,X17)) = X17
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25
| ~ spl15_26 ),
inference(backward_demodulation,[],[f1863,f1870]) ).
fof(f1863,plain,
( ! [X17] : multiply(sk_c5,multiply(sk_c8,X17)) = X17
| ~ spl15_15
| ~ spl15_25
| ~ spl15_26 ),
inference(backward_demodulation,[],[f1685,f1630]) ).
fof(f1685,plain,
( ! [X17] : multiply(sk_c10,X17) = multiply(sk_c5,multiply(sk_c8,X17))
| ~ spl15_15
| ~ spl15_25 ),
inference(forward_demodulation,[],[f1433,f291]) ).
fof(f1934,plain,
( sk_c3 = sk_c5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25 ),
inference(forward_demodulation,[],[f1922,f1670]) ).
fof(f1922,plain,
( sk_c5 = multiply(inverse(sk_c10),identity)
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25 ),
inference(forward_demodulation,[],[f698,f1870]) ).
fof(f1940,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25
| ~ spl15_26 ),
inference(backward_demodulation,[],[f1792,f1935]) ).
fof(f1792,plain,
( sk_c10 = inverse(sk_c3)
| ~ spl15_9
| ~ spl15_25 ),
inference(forward_demodulation,[],[f1298,f291]) ).
fof(f1991,plain,
( identity != inverse(identity)
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| spl15_22
| ~ spl15_25
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1945,f1946]) ).
fof(f1945,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| spl15_22
| ~ spl15_25
| ~ spl15_26 ),
inference(backward_demodulation,[],[f276,f1940]) ).
fof(f276,plain,
( sk_c10 != inverse(inverse(sk_c10))
| spl15_22 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f274,plain,
( spl15_22
<=> sk_c10 = inverse(inverse(sk_c10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_22])]) ).
fof(f1910,plain,
( ~ spl15_1
| ~ spl15_5
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25
| ~ spl15_26
| spl15_27 ),
inference(avatar_contradiction_clause,[],[f1909]) ).
fof(f1909,plain,
( $false
| ~ spl15_1
| ~ spl15_5
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25
| ~ spl15_26
| spl15_27 ),
inference(subsumption_resolution,[],[f1905,f1895]) ).
fof(f1895,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25
| spl15_27 ),
inference(forward_demodulation,[],[f301,f1870]) ).
fof(f301,plain,
( sk_c10 != inverse(sk_c8)
| spl15_27 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f1905,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl15_1
| ~ spl15_5
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25
| ~ spl15_26 ),
inference(backward_demodulation,[],[f1873,f1899]) ).
fof(f1873,plain,
( sk_c10 = inverse(sk_c5)
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_25 ),
inference(backward_demodulation,[],[f701,f1870]) ).
fof(f1727,plain,
( ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_22
| ~ spl15_25
| ~ spl15_27
| ~ spl15_29
| spl15_30
| ~ spl15_31
| ~ spl15_35
| ~ spl15_45
| ~ spl15_49 ),
inference(avatar_contradiction_clause,[],[f1726]) ).
fof(f1726,plain,
( $false
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_22
| ~ spl15_25
| ~ spl15_27
| ~ spl15_29
| spl15_30
| ~ spl15_31
| ~ spl15_35
| ~ spl15_45
| ~ spl15_49 ),
inference(subsumption_resolution,[],[f1725,f1385]) ).
fof(f1385,plain,
( identity != sk_c10
| ~ spl15_29
| spl15_30 ),
inference(forward_demodulation,[],[f324,f316]) ).
fof(f324,plain,
( sk_c10 != sk_c9
| spl15_30 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f1725,plain,
( identity = sk_c10
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_22
| ~ spl15_25
| ~ spl15_27
| ~ spl15_31
| ~ spl15_35
| ~ spl15_45
| ~ spl15_49 ),
inference(backward_demodulation,[],[f1592,f1712]) ).
fof(f1712,plain,
( identity = multiply(sk_c10,sk_c10)
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_22
| ~ spl15_25
| ~ spl15_27
| ~ spl15_31
| ~ spl15_35
| ~ spl15_45
| ~ spl15_49 ),
inference(backward_demodulation,[],[f1662,f1709]) ).
fof(f1709,plain,
( sk_c10 = sk_c3
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_22
| ~ spl15_25
| ~ spl15_27
| ~ spl15_31
| ~ spl15_35
| ~ spl15_45
| ~ spl15_49 ),
inference(forward_demodulation,[],[f1708,f1655]) ).
fof(f1655,plain,
( sk_c10 = multiply(sk_c3,sk_c10)
| ~ spl15_9
| ~ spl15_13
| ~ spl15_22
| ~ spl15_25
| ~ spl15_35
| ~ spl15_49 ),
inference(forward_demodulation,[],[f1654,f1584]) ).
fof(f1584,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl15_13
| ~ spl15_22
| ~ spl15_25
| ~ spl15_49 ),
inference(backward_demodulation,[],[f1576,f1574]) ).
fof(f1576,plain,
( multiply(sk_c8,sk_c10) = inverse(sk_c10)
| ~ spl15_13
| ~ spl15_22
| ~ spl15_25
| ~ spl15_49 ),
inference(forward_demodulation,[],[f1575,f275]) ).
fof(f275,plain,
( sk_c10 = inverse(inverse(sk_c10))
| ~ spl15_22 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f1575,plain,
( inverse(sk_c10) = multiply(sk_c8,inverse(inverse(sk_c10)))
| ~ spl15_13
| ~ spl15_25
| ~ spl15_49 ),
inference(backward_demodulation,[],[f1469,f291]) ).
fof(f1654,plain,
( sk_c10 = multiply(sk_c3,inverse(sk_c10))
| ~ spl15_9
| ~ spl15_25
| ~ spl15_35 ),
inference(forward_demodulation,[],[f549,f1567]) ).
fof(f1708,plain,
( sk_c3 = multiply(sk_c3,sk_c10)
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_22
| ~ spl15_25
| ~ spl15_27
| ~ spl15_31
| ~ spl15_35
| ~ spl15_45
| ~ spl15_49 ),
inference(forward_demodulation,[],[f1706,f1707]) ).
fof(f1707,plain,
( sk_c3 = sk_c7
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_22
| ~ spl15_25
| ~ spl15_27
| ~ spl15_31
| ~ spl15_35
| ~ spl15_49 ),
inference(forward_demodulation,[],[f1702,f1671]) ).
fof(f1671,plain,
( sk_c3 = multiply(sk_c10,identity)
| ~ spl15_9
| ~ spl15_13
| ~ spl15_22
| ~ spl15_25
| ~ spl15_49 ),
inference(forward_demodulation,[],[f1670,f1584]) ).
fof(f1702,plain,
( sk_c7 = multiply(sk_c10,identity)
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_22
| ~ spl15_25
| ~ spl15_27
| ~ spl15_31
| ~ spl15_35
| ~ spl15_49 ),
inference(backward_demodulation,[],[f737,f1700]) ).
fof(f1700,plain,
( sk_c10 = sk_c8
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_22
| ~ spl15_25
| ~ spl15_27
| ~ spl15_31
| ~ spl15_35
| ~ spl15_49 ),
inference(forward_demodulation,[],[f1698,f1655]) ).
fof(f1698,plain,
( sk_c8 = multiply(sk_c3,sk_c10)
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_22
| ~ spl15_25
| ~ spl15_27
| ~ spl15_31
| ~ spl15_49 ),
inference(backward_demodulation,[],[f1591,f1689]) ).
fof(f1689,plain,
( sk_c3 = sk_c5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_22
| ~ spl15_25
| ~ spl15_27
| ~ spl15_49 ),
inference(forward_demodulation,[],[f1557,f1671]) ).
fof(f1557,plain,
( sk_c5 = multiply(sk_c10,identity)
| ~ spl15_14
| ~ spl15_27 ),
inference(forward_demodulation,[],[f698,f300]) ).
fof(f1591,plain,
( sk_c8 = multiply(sk_c5,sk_c10)
| ~ spl15_14
| ~ spl15_27
| ~ spl15_31 ),
inference(forward_demodulation,[],[f932,f300]) ).
fof(f932,plain,
( sk_c8 = multiply(sk_c5,inverse(sk_c8))
| ~ spl15_14
| ~ spl15_31 ),
inference(backward_demodulation,[],[f532,f193]) ).
fof(f532,plain,
( sF13 = multiply(sk_c5,inverse(sF13))
| ~ spl15_31 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f531,plain,
( spl15_31
<=> sF13 = multiply(sk_c5,inverse(sF13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_31])]) ).
fof(f1706,plain,
( sk_c3 = multiply(sk_c7,sk_c10)
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_22
| ~ spl15_25
| ~ spl15_27
| ~ spl15_31
| ~ spl15_35
| ~ spl15_45
| ~ spl15_49 ),
inference(backward_demodulation,[],[f1697,f1700]) ).
fof(f1697,plain,
( sk_c3 = multiply(sk_c7,sk_c8)
| ~ spl15_1
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_22
| ~ spl15_25
| ~ spl15_27
| ~ spl15_45
| ~ spl15_49 ),
inference(backward_demodulation,[],[f931,f1689]) ).
fof(f931,plain,
( sk_c5 = multiply(sk_c7,sk_c8)
| ~ spl15_1
| ~ spl15_5
| ~ spl15_14
| ~ spl15_45 ),
inference(forward_demodulation,[],[f901,f701]) ).
fof(f901,plain,
( sk_c5 = multiply(sk_c7,inverse(sk_c5))
| ~ spl15_1
| ~ spl15_5
| ~ spl15_14
| ~ spl15_45 ),
inference(forward_demodulation,[],[f603,f730]) ).
fof(f603,plain,
( sF12 = multiply(sk_c7,inverse(sF12))
| ~ spl15_45 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f602,plain,
( spl15_45
<=> sF12 = multiply(sk_c7,inverse(sF12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_45])]) ).
fof(f1662,plain,
( identity = multiply(sk_c10,sk_c3)
| ~ spl15_9
| ~ spl15_25 ),
inference(forward_demodulation,[],[f254,f1567]) ).
fof(f1592,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl15_13
| ~ spl15_25
| ~ spl15_27 ),
inference(forward_demodulation,[],[f1432,f291]) ).
fof(f1432,plain,
( sk_c10 = multiply(sk_c10,sk_c11)
| ~ spl15_13
| ~ spl15_27 ),
inference(backward_demodulation,[],[f1430,f300]) ).
fof(f1588,plain,
( spl15_3
| ~ spl15_7
| ~ spl15_9
| ~ spl15_25
| ~ spl15_34 ),
inference(avatar_contradiction_clause,[],[f1587]) ).
fof(f1587,plain,
( $false
| spl15_3
| ~ spl15_7
| ~ spl15_9
| ~ spl15_25
| ~ spl15_34 ),
inference(subsumption_resolution,[],[f1565,f1583]) ).
fof(f1583,plain,
( sk_c10 = sF4
| ~ spl15_7
| ~ spl15_9
| ~ spl15_25
| ~ spl15_34 ),
inference(forward_demodulation,[],[f1579,f1]) ).
fof(f1579,plain,
( multiply(identity,sk_c10) = sF4
| ~ spl15_7
| ~ spl15_9
| ~ spl15_25
| ~ spl15_34 ),
inference(backward_demodulation,[],[f63,f1578]) ).
fof(f1578,plain,
( identity = sk_c2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_25
| ~ spl15_34 ),
inference(backward_demodulation,[],[f404,f1573]) ).
fof(f1573,plain,
( identity = multiply(inverse(sk_c10),identity)
| ~ spl15_9
| ~ spl15_25
| ~ spl15_34 ),
inference(backward_demodulation,[],[f1273,f291]) ).
fof(f1273,plain,
( identity = multiply(inverse(sk_c11),identity)
| ~ spl15_9
| ~ spl15_34 ),
inference(forward_demodulation,[],[f1272,f545]) ).
fof(f404,plain,
( sk_c2 = multiply(inverse(sk_c10),identity)
| ~ spl15_7 ),
inference(superposition,[],[f353,f260]) ).
fof(f260,plain,
( identity = multiply(sk_c10,sk_c2)
| ~ spl15_7 ),
inference(superposition,[],[f2,f253]) ).
fof(f253,plain,
( sk_c10 = inverse(sk_c2)
| ~ spl15_7 ),
inference(backward_demodulation,[],[f65,f154]) ).
fof(f154,plain,
( sk_c10 = sF5
| ~ spl15_7 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f152,plain,
( spl15_7
<=> sk_c10 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f65,plain,
inverse(sk_c2) = sF5,
introduced(function_definition,[]) ).
fof(f63,plain,
multiply(sk_c2,sk_c10) = sF4,
introduced(function_definition,[]) ).
fof(f1565,plain,
( sk_c10 != sF4
| spl15_3
| ~ spl15_25 ),
inference(backward_demodulation,[],[f134,f291]) ).
fof(f134,plain,
( sk_c11 != sF4
| spl15_3 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl15_3
<=> sk_c11 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f1564,plain,
( spl15_25
| ~ spl15_11
| ~ spl15_34 ),
inference(avatar_split_clause,[],[f1563,f544,f171,f290]) ).
fof(f1563,plain,
( sk_c10 = sk_c11
| ~ spl15_11
| ~ spl15_34 ),
inference(backward_demodulation,[],[f1400,f173]) ).
fof(f1400,plain,
( sk_c11 = sF6
| ~ spl15_34 ),
inference(forward_demodulation,[],[f1399,f1]) ).
fof(f1399,plain,
( sF6 = multiply(identity,sk_c11)
| ~ spl15_34 ),
inference(forward_demodulation,[],[f67,f545]) ).
fof(f1561,plain,
( spl15_26
| ~ spl15_23
| ~ spl15_42 ),
inference(avatar_split_clause,[],[f1028,f582,f281,f294]) ).
fof(f281,plain,
( spl15_23
<=> sk_c10 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_23])]) ).
fof(f1028,plain,
( sk_c10 = inverse(identity)
| ~ spl15_23
| ~ spl15_42 ),
inference(forward_demodulation,[],[f282,f583]) ).
fof(f583,plain,
( identity = sk_c4
| ~ spl15_42 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f282,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl15_23 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f1187,plain,
( ~ spl15_9
| ~ spl15_18
| ~ spl15_21
| ~ spl15_26
| ~ spl15_34 ),
inference(avatar_contradiction_clause,[],[f1186]) ).
fof(f1186,plain,
( $false
| ~ spl15_9
| ~ spl15_18
| ~ spl15_21
| ~ spl15_26
| ~ spl15_34 ),
inference(subsumption_resolution,[],[f1185,f868]) ).
fof(f868,plain,
( identity = inverse(identity)
| ~ spl15_9
| ~ spl15_21
| ~ spl15_34 ),
inference(backward_demodulation,[],[f681,f545]) ).
fof(f681,plain,
( identity = inverse(sk_c3)
| ~ spl15_9
| ~ spl15_21 ),
inference(backward_demodulation,[],[f78,f675]) ).
fof(f675,plain,
( identity = sF11
| ~ spl15_9
| ~ spl15_21 ),
inference(forward_demodulation,[],[f163,f271]) ).
fof(f1185,plain,
( identity != inverse(identity)
| ~ spl15_9
| ~ spl15_18
| ~ spl15_21
| ~ spl15_26
| ~ spl15_34 ),
inference(forward_demodulation,[],[f1181,f868]) ).
fof(f1181,plain,
( identity != inverse(inverse(identity))
| ~ spl15_9
| ~ spl15_18
| ~ spl15_21
| ~ spl15_26
| ~ spl15_34 ),
inference(trivial_inequality_removal,[],[f1179]) ).
fof(f1179,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl15_9
| ~ spl15_18
| ~ spl15_21
| ~ spl15_26
| ~ spl15_34 ),
inference(superposition,[],[f1082,f2]) ).
fof(f1082,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl15_9
| ~ spl15_18
| ~ spl15_21
| ~ spl15_26
| ~ spl15_34 ),
inference(subsumption_resolution,[],[f1081,f1]) ).
fof(f1081,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != multiply(identity,identity)
| identity != multiply(X0,identity) )
| ~ spl15_9
| ~ spl15_18
| ~ spl15_21
| ~ spl15_26
| ~ spl15_34 ),
inference(forward_demodulation,[],[f1080,f868]) ).
fof(f1080,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0)
| identity != multiply(identity,inverse(identity)) )
| ~ spl15_9
| ~ spl15_18
| ~ spl15_21
| ~ spl15_26
| ~ spl15_34 ),
inference(forward_demodulation,[],[f1079,f868]) ).
fof(f1079,plain,
( ! [X0] :
( inverse(X0) != inverse(identity)
| identity != multiply(identity,inverse(identity))
| identity != multiply(X0,identity) )
| ~ spl15_9
| ~ spl15_18
| ~ spl15_21
| ~ spl15_26
| ~ spl15_34 ),
inference(forward_demodulation,[],[f1078,f868]) ).
fof(f1078,plain,
( ! [X0] :
( identity != multiply(X0,inverse(identity))
| identity != multiply(identity,inverse(identity))
| inverse(X0) != inverse(identity) )
| ~ spl15_9
| ~ spl15_18
| ~ spl15_21
| ~ spl15_26
| ~ spl15_34 ),
inference(subsumption_resolution,[],[f1074,f2]) ).
fof(f1074,plain,
( ! [X0] :
( identity != multiply(identity,inverse(identity))
| identity != multiply(X0,inverse(identity))
| identity != multiply(inverse(identity),identity)
| inverse(X0) != inverse(identity) )
| ~ spl15_9
| ~ spl15_18
| ~ spl15_21
| ~ spl15_26
| ~ spl15_34 ),
inference(superposition,[],[f1007,f868]) ).
fof(f1007,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(inverse(X9)))
| identity != multiply(inverse(inverse(X9)),identity)
| inverse(X7) != inverse(inverse(X9))
| identity != multiply(X7,inverse(inverse(X9))) )
| ~ spl15_9
| ~ spl15_18
| ~ spl15_21
| ~ spl15_26
| ~ spl15_34 ),
inference(backward_demodulation,[],[f794,f983]) ).
fof(f983,plain,
( identity = sk_c10
| ~ spl15_9
| ~ spl15_21
| ~ spl15_26
| ~ spl15_34 ),
inference(forward_demodulation,[],[f295,f868]) ).
fof(f794,plain,
( ! [X9,X7] :
( inverse(X7) != inverse(inverse(X9))
| identity != multiply(X7,inverse(inverse(X9)))
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| identity != multiply(inverse(inverse(X9)),sk_c10) )
| ~ spl15_18
| ~ spl15_21 ),
inference(forward_demodulation,[],[f746,f271]) ).
fof(f746,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(inverse(X9)))
| inverse(X7) != inverse(inverse(X9))
| sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| identity != multiply(X7,inverse(inverse(X9))) )
| ~ spl15_18
| ~ spl15_21 ),
inference(forward_demodulation,[],[f229,f271]) ).
fof(f229,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(inverse(X9)))
| inverse(X7) != inverse(inverse(X9))
| sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| sk_c11 != multiply(X7,inverse(inverse(X9))) )
| ~ spl15_18 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f228,plain,
( spl15_18
<=> ! [X9,X7] :
( inverse(X7) != inverse(inverse(X9))
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| sk_c11 != multiply(X7,inverse(inverse(X9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).
fof(f1060,plain,
( spl15_29
| ~ spl15_9
| ~ spl15_21
| ~ spl15_26
| ~ spl15_30
| ~ spl15_34 ),
inference(avatar_split_clause,[],[f1059,f544,f322,f294,f270,f161,f315]) ).
fof(f1059,plain,
( identity = sk_c9
| ~ spl15_9
| ~ spl15_21
| ~ spl15_26
| ~ spl15_30
| ~ spl15_34 ),
inference(forward_demodulation,[],[f323,f983]) ).
fof(f1027,plain,
( spl15_29
| ~ spl15_6
| ~ spl15_9
| ~ spl15_21
| ~ spl15_26
| ~ spl15_34
| ~ spl15_42 ),
inference(avatar_split_clause,[],[f1026,f582,f544,f294,f270,f161,f148,f315]) ).
fof(f148,plain,
( spl15_6
<=> sk_c9 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f1026,plain,
( identity = sk_c9
| ~ spl15_6
| ~ spl15_9
| ~ spl15_21
| ~ spl15_26
| ~ spl15_34
| ~ spl15_42 ),
inference(forward_demodulation,[],[f1025,f1]) ).
fof(f1025,plain,
( sk_c9 = multiply(identity,identity)
| ~ spl15_6
| ~ spl15_9
| ~ spl15_21
| ~ spl15_26
| ~ spl15_34
| ~ spl15_42 ),
inference(forward_demodulation,[],[f1024,f583]) ).
fof(f1024,plain,
( sk_c9 = multiply(sk_c4,identity)
| ~ spl15_6
| ~ spl15_9
| ~ spl15_21
| ~ spl15_26
| ~ spl15_34 ),
inference(forward_demodulation,[],[f1023,f983]) ).
fof(f1023,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| ~ spl15_6 ),
inference(forward_demodulation,[],[f57,f150]) ).
fof(f150,plain,
( sk_c9 = sF0
| ~ spl15_6 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f57,plain,
multiply(sk_c4,sk_c10) = sF0,
introduced(function_definition,[]) ).
fof(f1022,plain,
( ~ spl15_29
| spl15_2
| ~ spl15_11
| ~ spl15_21
| ~ spl15_34 ),
inference(avatar_split_clause,[],[f974,f544,f270,f171,f128,f315]) ).
fof(f974,plain,
( identity != sk_c9
| spl15_2
| ~ spl15_11
| ~ spl15_21
| ~ spl15_34 ),
inference(forward_demodulation,[],[f129,f968]) ).
fof(f968,plain,
( identity = sF10
| ~ spl15_11
| ~ spl15_21
| ~ spl15_34 ),
inference(forward_demodulation,[],[f967,f271]) ).
fof(f967,plain,
( sk_c11 = sF10
| ~ spl15_11
| ~ spl15_21
| ~ spl15_34 ),
inference(forward_demodulation,[],[f75,f915]) ).
fof(f915,plain,
( ! [X13] : multiply(sk_c10,X13) = X13
| ~ spl15_11
| ~ spl15_21
| ~ spl15_34 ),
inference(backward_demodulation,[],[f875,f173]) ).
fof(f875,plain,
( ! [X13] : multiply(sF6,X13) = X13
| ~ spl15_21
| ~ spl15_34 ),
inference(forward_demodulation,[],[f864,f1]) ).
fof(f864,plain,
( ! [X13] : multiply(identity,X13) = multiply(sF6,X13)
| ~ spl15_21
| ~ spl15_34 ),
inference(backward_demodulation,[],[f437,f545]) ).
fof(f437,plain,
( ! [X13] : multiply(sF6,X13) = multiply(sk_c3,X13)
| ~ spl15_21 ),
inference(forward_demodulation,[],[f426,f1]) ).
fof(f426,plain,
( ! [X13] : multiply(sF6,X13) = multiply(sk_c3,multiply(identity,X13))
| ~ spl15_21 ),
inference(backward_demodulation,[],[f334,f271]) ).
fof(f334,plain,
! [X13] : multiply(sk_c3,multiply(sk_c11,X13)) = multiply(sF6,X13),
inference(superposition,[],[f3,f67]) ).
fof(f991,plain,
( ~ spl15_9
| ~ spl15_21
| ~ spl15_34
| spl15_35 ),
inference(avatar_contradiction_clause,[],[f990]) ).
fof(f990,plain,
( $false
| ~ spl15_9
| ~ spl15_21
| ~ spl15_34
| spl15_35 ),
inference(subsumption_resolution,[],[f989,f1]) ).
fof(f989,plain,
( identity != multiply(identity,identity)
| ~ spl15_9
| ~ spl15_21
| ~ spl15_34
| spl15_35 ),
inference(forward_demodulation,[],[f988,f545]) ).
fof(f988,plain,
( identity != multiply(sk_c3,identity)
| ~ spl15_9
| ~ spl15_21
| ~ spl15_34
| spl15_35 ),
inference(forward_demodulation,[],[f676,f868]) ).
fof(f676,plain,
( identity != multiply(sk_c3,inverse(identity))
| ~ spl15_9
| ~ spl15_21
| spl15_35 ),
inference(backward_demodulation,[],[f550,f675]) ).
fof(f550,plain,
( multiply(sk_c3,inverse(sF11)) != sF11
| spl15_35 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f982,plain,
( ~ spl15_4
| ~ spl15_11
| ~ spl15_21
| ~ spl15_34
| spl15_42 ),
inference(avatar_contradiction_clause,[],[f981]) ).
fof(f981,plain,
( $false
| ~ spl15_4
| ~ spl15_11
| ~ spl15_21
| ~ spl15_34
| spl15_42 ),
inference(subsumption_resolution,[],[f980,f584]) ).
fof(f980,plain,
( identity = sk_c4
| ~ spl15_4
| ~ spl15_11
| ~ spl15_21
| ~ spl15_34 ),
inference(forward_demodulation,[],[f978,f916]) ).
fof(f916,plain,
( ! [X0] : multiply(inverse(sk_c10),X0) = X0
| ~ spl15_11
| ~ spl15_21
| ~ spl15_34 ),
inference(backward_demodulation,[],[f870,f173]) ).
fof(f870,plain,
( ! [X0] : multiply(inverse(sF6),X0) = X0
| ~ spl15_21
| ~ spl15_34 ),
inference(forward_demodulation,[],[f865,f1]) ).
fof(f865,plain,
( ! [X0] : multiply(inverse(sF6),multiply(identity,X0)) = X0
| ~ spl15_21
| ~ spl15_34 ),
inference(backward_demodulation,[],[f606,f545]) ).
fof(f606,plain,
( ! [X0] : multiply(inverse(sF6),multiply(sk_c3,X0)) = X0
| ~ spl15_21 ),
inference(superposition,[],[f353,f437]) ).
fof(f979,plain,
( spl15_23
| ~ spl15_4 ),
inference(avatar_split_clause,[],[f977,f138,f281]) ).
fof(f977,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl15_4 ),
inference(backward_demodulation,[],[f91,f140]) ).
fof(f930,plain,
( ~ spl15_11
| ~ spl15_29
| spl15_30
| ~ spl15_46 ),
inference(avatar_contradiction_clause,[],[f929]) ).
fof(f929,plain,
( $false
| ~ spl15_11
| ~ spl15_29
| spl15_30
| ~ spl15_46 ),
inference(subsumption_resolution,[],[f928,f927]) ).
fof(f927,plain,
( identity != sk_c10
| ~ spl15_29
| spl15_30 ),
inference(forward_demodulation,[],[f324,f316]) ).
fof(f928,plain,
( identity = sk_c10
| ~ spl15_11
| ~ spl15_46 ),
inference(backward_demodulation,[],[f173,f613]) ).
fof(f925,plain,
( spl15_26
| ~ spl15_7
| ~ spl15_11
| ~ spl15_21
| ~ spl15_34 ),
inference(avatar_split_clause,[],[f923,f544,f270,f171,f152,f294]) ).
fof(f923,plain,
( sk_c10 = inverse(identity)
| ~ spl15_7
| ~ spl15_11
| ~ spl15_21
| ~ spl15_34 ),
inference(backward_demodulation,[],[f253,f922]) ).
fof(f922,plain,
( identity = sk_c2
| ~ spl15_7
| ~ spl15_11
| ~ spl15_21
| ~ spl15_34 ),
inference(forward_demodulation,[],[f404,f916]) ).
fof(f921,plain,
( spl15_46
| ~ spl15_21
| ~ spl15_34 ),
inference(avatar_split_clause,[],[f872,f544,f270,f612]) ).
fof(f872,plain,
( identity = sF6
| ~ spl15_21
| ~ spl15_34 ),
inference(forward_demodulation,[],[f863,f1]) ).
fof(f863,plain,
( sF6 = multiply(identity,identity)
| ~ spl15_21
| ~ spl15_34 ),
inference(backward_demodulation,[],[f415,f545]) ).
fof(f415,plain,
( sF6 = multiply(sk_c3,identity)
| ~ spl15_21 ),
inference(backward_demodulation,[],[f67,f271]) ).
fof(f773,plain,
( ~ spl15_1
| ~ spl15_5
| ~ spl15_12
| ~ spl15_14
| ~ spl15_15
| ~ spl15_21
| ~ spl15_25
| spl15_49 ),
inference(avatar_contradiction_clause,[],[f772]) ).
fof(f772,plain,
( $false
| ~ spl15_1
| ~ spl15_5
| ~ spl15_12
| ~ spl15_14
| ~ spl15_15
| ~ spl15_21
| ~ spl15_25
| spl15_49 ),
inference(subsumption_resolution,[],[f771,f757]) ).
fof(f757,plain,
( sk_c5 = multiply(sk_c8,sk_c8)
| ~ spl15_1
| ~ spl15_5
| ~ spl15_12
| ~ spl15_14
| ~ spl15_15
| ~ spl15_21 ),
inference(backward_demodulation,[],[f716,f755]) ).
fof(f755,plain,
( sk_c8 = sk_c7
| ~ spl15_1
| ~ spl15_5
| ~ spl15_14
| ~ spl15_15
| ~ spl15_21 ),
inference(backward_demodulation,[],[f737,f751]) ).
fof(f751,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl15_14
| ~ spl15_15
| ~ spl15_21 ),
inference(backward_demodulation,[],[f697,f750]) ).
fof(f750,plain,
( identity = sF2
| ~ spl15_15
| ~ spl15_21 ),
inference(forward_demodulation,[],[f205,f271]) ).
fof(f716,plain,
( sk_c5 = multiply(sk_c7,sk_c8)
| ~ spl15_5
| ~ spl15_12
| ~ spl15_14 ),
inference(backward_demodulation,[],[f73,f713]) ).
fof(f771,plain,
( sk_c5 != multiply(sk_c8,sk_c8)
| ~ spl15_1
| ~ spl15_5
| ~ spl15_14
| ~ spl15_15
| ~ spl15_21
| ~ spl15_25
| spl15_49 ),
inference(forward_demodulation,[],[f770,f701]) ).
fof(f770,plain,
( sk_c5 != multiply(sk_c8,inverse(sk_c5))
| ~ spl15_1
| ~ spl15_5
| ~ spl15_14
| ~ spl15_15
| ~ spl15_21
| ~ spl15_25
| spl15_49 ),
inference(forward_demodulation,[],[f769,f760]) ).
fof(f760,plain,
( sk_c5 = inverse(sk_c8)
| ~ spl15_1
| ~ spl15_5
| ~ spl15_14
| ~ spl15_15
| ~ spl15_21 ),
inference(backward_demodulation,[],[f736,f755]) ).
fof(f736,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl15_1
| ~ spl15_5
| ~ spl15_14 ),
inference(backward_demodulation,[],[f82,f730]) ).
fof(f769,plain,
( inverse(sk_c8) != multiply(sk_c8,inverse(inverse(sk_c8)))
| ~ spl15_14
| ~ spl15_15
| ~ spl15_21
| ~ spl15_25
| spl15_49 ),
inference(backward_demodulation,[],[f635,f767]) ).
fof(f767,plain,
( sk_c8 = sF7
| ~ spl15_14
| ~ spl15_15
| ~ spl15_21
| ~ spl15_25 ),
inference(forward_demodulation,[],[f766,f751]) ).
fof(f766,plain,
( sF7 = multiply(sk_c8,identity)
| ~ spl15_21
| ~ spl15_25 ),
inference(forward_demodulation,[],[f69,f505]) ).
fof(f505,plain,
( identity = sk_c10
| ~ spl15_21
| ~ spl15_25 ),
inference(forward_demodulation,[],[f291,f271]) ).
fof(f635,plain,
( multiply(sk_c8,inverse(inverse(sF7))) != inverse(sF7)
| spl15_49 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f765,plain,
( ~ spl15_1
| ~ spl15_5
| ~ spl15_12
| ~ spl15_14
| ~ spl15_15
| ~ spl15_21
| spl15_31 ),
inference(avatar_contradiction_clause,[],[f764]) ).
fof(f764,plain,
( $false
| ~ spl15_1
| ~ spl15_5
| ~ spl15_12
| ~ spl15_14
| ~ spl15_15
| ~ spl15_21
| spl15_31 ),
inference(subsumption_resolution,[],[f762,f731]) ).
fof(f762,plain,
( sk_c8 != multiply(sk_c5,sk_c5)
| ~ spl15_1
| ~ spl15_5
| ~ spl15_14
| ~ spl15_15
| ~ spl15_21
| spl15_31 ),
inference(backward_demodulation,[],[f696,f760]) ).
fof(f696,plain,
( sk_c8 != multiply(sk_c5,inverse(sk_c8))
| ~ spl15_14
| spl15_31 ),
inference(backward_demodulation,[],[f533,f193]) ).
fof(f533,plain,
( sF13 != multiply(sk_c5,inverse(sF13))
| spl15_31 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f740,plain,
( ~ spl15_1
| ~ spl15_5
| ~ spl15_12
| ~ spl15_14
| spl15_45 ),
inference(avatar_contradiction_clause,[],[f739]) ).
fof(f739,plain,
( $false
| ~ spl15_1
| ~ spl15_5
| ~ spl15_12
| ~ spl15_14
| spl15_45 ),
inference(subsumption_resolution,[],[f738,f716]) ).
fof(f738,plain,
( sk_c5 != multiply(sk_c7,sk_c8)
| ~ spl15_1
| ~ spl15_5
| ~ spl15_14
| spl15_45 ),
inference(forward_demodulation,[],[f732,f701]) ).
fof(f732,plain,
( sk_c5 != multiply(sk_c7,inverse(sk_c5))
| ~ spl15_1
| ~ spl15_5
| ~ spl15_14
| spl15_45 ),
inference(backward_demodulation,[],[f604,f730]) ).
fof(f604,plain,
( sF12 != multiply(sk_c7,inverse(sF12))
| spl15_45 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f683,plain,
( spl15_34
| ~ spl15_9
| ~ spl15_21 ),
inference(avatar_split_clause,[],[f682,f270,f161,f544]) ).
fof(f682,plain,
( identity = sk_c3
| ~ spl15_9
| ~ spl15_21 ),
inference(forward_demodulation,[],[f678,f2]) ).
fof(f678,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl15_9
| ~ spl15_21 ),
inference(backward_demodulation,[],[f396,f675]) ).
fof(f662,plain,
( ~ spl15_8
| ~ spl15_10
| ~ spl15_18
| ~ spl15_21 ),
inference(avatar_contradiction_clause,[],[f661]) ).
fof(f661,plain,
( $false
| ~ spl15_8
| ~ spl15_10
| ~ spl15_18
| ~ spl15_21 ),
inference(subsumption_resolution,[],[f654,f440]) ).
fof(f440,plain,
( identity = inverse(identity)
| ~ spl15_10
| ~ spl15_21 ),
inference(forward_demodulation,[],[f419,f435]) ).
fof(f435,plain,
( identity = sk_c1
| ~ spl15_10
| ~ spl15_21 ),
inference(forward_demodulation,[],[f430,f2]) ).
fof(f430,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl15_10
| ~ spl15_21 ),
inference(backward_demodulation,[],[f403,f271]) ).
fof(f403,plain,
( sk_c1 = multiply(inverse(sk_c11),identity)
| ~ spl15_10 ),
inference(superposition,[],[f353,f259]) ).
fof(f259,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl15_10 ),
inference(superposition,[],[f2,f249]) ).
fof(f249,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl15_10 ),
inference(backward_demodulation,[],[f61,f168]) ).
fof(f168,plain,
( sk_c11 = sF3
| ~ spl15_10 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f166,plain,
( spl15_10
<=> sk_c11 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f61,plain,
inverse(sk_c1) = sF3,
introduced(function_definition,[]) ).
fof(f419,plain,
( identity = inverse(sk_c1)
| ~ spl15_10
| ~ spl15_21 ),
inference(backward_demodulation,[],[f249,f271]) ).
fof(f654,plain,
( identity != inverse(identity)
| ~ spl15_8
| ~ spl15_10
| ~ spl15_18
| ~ spl15_21 ),
inference(trivial_inequality_removal,[],[f648]) ).
fof(f648,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl15_8
| ~ spl15_10
| ~ spl15_18
| ~ spl15_21 ),
inference(superposition,[],[f572,f1]) ).
fof(f572,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl15_8
| ~ spl15_10
| ~ spl15_18
| ~ spl15_21 ),
inference(subsumption_resolution,[],[f571,f1]) ).
fof(f571,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != multiply(X0,identity)
| identity != multiply(identity,identity) )
| ~ spl15_8
| ~ spl15_10
| ~ spl15_18
| ~ spl15_21 ),
inference(forward_demodulation,[],[f570,f440]) ).
fof(f570,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != multiply(identity,inverse(identity))
| identity != multiply(X0,identity) )
| ~ spl15_8
| ~ spl15_10
| ~ spl15_18
| ~ spl15_21 ),
inference(forward_demodulation,[],[f569,f440]) ).
fof(f569,plain,
( ! [X0] :
( identity != multiply(X0,inverse(identity))
| identity != multiply(identity,inverse(identity))
| identity != inverse(X0) )
| ~ spl15_8
| ~ spl15_10
| ~ spl15_18
| ~ spl15_21 ),
inference(forward_demodulation,[],[f568,f440]) ).
fof(f568,plain,
( ! [X0] :
( inverse(X0) != inverse(identity)
| identity != multiply(identity,inverse(identity))
| identity != multiply(X0,inverse(identity)) )
| ~ spl15_8
| ~ spl15_10
| ~ spl15_18
| ~ spl15_21 ),
inference(subsumption_resolution,[],[f520,f2]) ).
fof(f520,plain,
( ! [X0] :
( identity != multiply(identity,inverse(identity))
| identity != multiply(X0,inverse(identity))
| inverse(X0) != inverse(identity)
| identity != multiply(inverse(identity),identity) )
| ~ spl15_8
| ~ spl15_10
| ~ spl15_18
| ~ spl15_21 ),
inference(superposition,[],[f504,f440]) ).
fof(f504,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(inverse(X9)))
| inverse(X7) != inverse(inverse(X9))
| identity != multiply(inverse(inverse(X9)),identity)
| identity != multiply(X7,inverse(inverse(X9))) )
| ~ spl15_8
| ~ spl15_10
| ~ spl15_18
| ~ spl15_21 ),
inference(forward_demodulation,[],[f503,f271]) ).
fof(f503,plain,
( ! [X9,X7] :
( identity != multiply(X7,inverse(inverse(X9)))
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| inverse(X7) != inverse(inverse(X9))
| sk_c11 != multiply(inverse(inverse(X9)),identity) )
| ~ spl15_8
| ~ spl15_10
| ~ spl15_18
| ~ spl15_21 ),
inference(forward_demodulation,[],[f502,f271]) ).
fof(f502,plain,
( ! [X9,X7] :
( inverse(X7) != inverse(inverse(X9))
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| sk_c11 != multiply(X7,inverse(inverse(X9)))
| sk_c11 != multiply(inverse(inverse(X9)),identity) )
| ~ spl15_8
| ~ spl15_10
| ~ spl15_18
| ~ spl15_21 ),
inference(forward_demodulation,[],[f229,f444]) ).
fof(f444,plain,
( identity = sk_c10
| ~ spl15_8
| ~ spl15_10
| ~ spl15_21 ),
inference(forward_demodulation,[],[f431,f1]) ).
fof(f431,plain,
( sk_c10 = multiply(identity,identity)
| ~ spl15_8
| ~ spl15_10
| ~ spl15_21 ),
inference(backward_demodulation,[],[f408,f271]) ).
fof(f408,plain,
( sk_c10 = multiply(sk_c11,sk_c11)
| ~ spl15_8
| ~ spl15_10 ),
inference(forward_demodulation,[],[f392,f249]) ).
fof(f392,plain,
( sk_c10 = multiply(inverse(sk_c1),sk_c11)
| ~ spl15_8 ),
inference(superposition,[],[f353,f251]) ).
fof(f251,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| ~ spl15_8 ),
inference(backward_demodulation,[],[f58,f159]) ).
fof(f159,plain,
( sk_c11 = sF1
| ~ spl15_8 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f157,plain,
( spl15_8
<=> sk_c11 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
fof(f58,plain,
multiply(sk_c1,sk_c10) = sF1,
introduced(function_definition,[]) ).
fof(f496,plain,
( ~ spl15_8
| ~ spl15_10
| ~ spl15_17
| ~ spl15_21
| ~ spl15_30 ),
inference(avatar_contradiction_clause,[],[f495]) ).
fof(f495,plain,
( $false
| ~ spl15_8
| ~ spl15_10
| ~ spl15_17
| ~ spl15_21
| ~ spl15_30 ),
inference(subsumption_resolution,[],[f494,f440]) ).
fof(f494,plain,
( identity != inverse(identity)
| ~ spl15_8
| ~ spl15_10
| ~ spl15_17
| ~ spl15_21
| ~ spl15_30 ),
inference(forward_demodulation,[],[f493,f440]) ).
fof(f493,plain,
( identity != inverse(inverse(identity))
| ~ spl15_8
| ~ spl15_10
| ~ spl15_17
| ~ spl15_21
| ~ spl15_30 ),
inference(forward_demodulation,[],[f492,f444]) ).
fof(f492,plain,
( sk_c10 != inverse(inverse(sk_c10))
| ~ spl15_8
| ~ spl15_10
| ~ spl15_17
| ~ spl15_21
| ~ spl15_30 ),
inference(subsumption_resolution,[],[f374,f444]) ).
fof(f374,plain,
( sk_c10 != inverse(inverse(sk_c10))
| identity != sk_c10
| ~ spl15_17
| ~ spl15_30 ),
inference(superposition,[],[f363,f2]) ).
fof(f363,plain,
( ! [X6] :
( sk_c10 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6) )
| ~ spl15_17
| ~ spl15_30 ),
inference(backward_demodulation,[],[f226,f323]) ).
fof(f226,plain,
( ! [X6] :
( sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6) )
| ~ spl15_17 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f225,plain,
( spl15_17
<=> ! [X6] :
( sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).
fof(f491,plain,
( ~ spl15_8
| ~ spl15_10
| ~ spl15_21
| spl15_26 ),
inference(avatar_contradiction_clause,[],[f490]) ).
fof(f490,plain,
( $false
| ~ spl15_8
| ~ spl15_10
| ~ spl15_21
| spl15_26 ),
inference(subsumption_resolution,[],[f442,f444]) ).
fof(f442,plain,
( identity != sk_c10
| ~ spl15_10
| ~ spl15_21
| spl15_26 ),
inference(backward_demodulation,[],[f296,f440]) ).
fof(f296,plain,
( sk_c10 != inverse(identity)
| spl15_26 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f477,plain,
( spl15_29
| ~ spl15_8
| ~ spl15_10
| ~ spl15_21
| ~ spl15_30 ),
inference(avatar_split_clause,[],[f454,f322,f270,f166,f157,f315]) ).
fof(f454,plain,
( identity = sk_c9
| ~ spl15_8
| ~ spl15_10
| ~ spl15_21
| ~ spl15_30 ),
inference(backward_demodulation,[],[f323,f444]) ).
fof(f407,plain,
( spl15_21
| ~ spl15_3
| ~ spl15_7 ),
inference(avatar_split_clause,[],[f406,f152,f133,f270]) ).
fof(f406,plain,
( identity = sk_c11
| ~ spl15_3
| ~ spl15_7 ),
inference(forward_demodulation,[],[f395,f2]) ).
fof(f395,plain,
( sk_c11 = multiply(inverse(sk_c10),sk_c10)
| ~ spl15_3
| ~ spl15_7 ),
inference(superposition,[],[f353,f355]) ).
fof(f355,plain,
( sk_c10 = multiply(sk_c10,sk_c11)
| ~ spl15_3
| ~ spl15_7 ),
inference(superposition,[],[f345,f250]) ).
fof(f250,plain,
( sk_c11 = multiply(sk_c2,sk_c10)
| ~ spl15_3 ),
inference(backward_demodulation,[],[f63,f135]) ).
fof(f135,plain,
( sk_c11 = sF4
| ~ spl15_3 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f345,plain,
( ! [X22] : multiply(sk_c10,multiply(sk_c2,X22)) = X22
| ~ spl15_7 ),
inference(forward_demodulation,[],[f343,f1]) ).
fof(f343,plain,
( ! [X22] : multiply(sk_c10,multiply(sk_c2,X22)) = multiply(identity,X22)
| ~ spl15_7 ),
inference(superposition,[],[f3,f260]) ).
fof(f360,plain,
( ~ spl15_2
| ~ spl15_3
| ~ spl15_7
| spl15_30 ),
inference(avatar_contradiction_clause,[],[f359]) ).
fof(f359,plain,
( $false
| ~ spl15_2
| ~ spl15_3
| ~ spl15_7
| spl15_30 ),
inference(subsumption_resolution,[],[f358,f324]) ).
fof(f358,plain,
( sk_c10 = sk_c9
| ~ spl15_2
| ~ spl15_3
| ~ spl15_7 ),
inference(backward_demodulation,[],[f252,f355]) ).
fof(f252,plain,
( multiply(sk_c10,sk_c11) = sk_c9
| ~ spl15_2 ),
inference(backward_demodulation,[],[f75,f130]) ).
fof(f130,plain,
( sk_c9 = sF10
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f325,plain,
( ~ spl15_30
| ~ spl15_26
| ~ spl15_17 ),
inference(avatar_split_clause,[],[f307,f225,f294,f322]) ).
fof(f307,plain,
( sk_c10 != inverse(identity)
| sk_c10 != sk_c9
| ~ spl15_17 ),
inference(superposition,[],[f226,f1]) ).
fof(f319,plain,
( ~ spl15_23
| ~ spl15_6
| ~ spl15_17 ),
inference(avatar_split_clause,[],[f303,f225,f148,f281]) ).
fof(f303,plain,
( sk_c9 != sF0
| sk_c10 != inverse(sk_c4)
| ~ spl15_17 ),
inference(superposition,[],[f226,f57]) ).
fof(f297,plain,
( ~ spl15_25
| ~ spl15_26
| ~ spl15_16 ),
inference(avatar_split_clause,[],[f265,f222,f294,f290]) ).
fof(f222,plain,
( spl15_16
<=> ! [X4] :
( sk_c10 != inverse(X4)
| sk_c11 != multiply(X4,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).
fof(f265,plain,
( sk_c10 != inverse(identity)
| sk_c10 != sk_c11
| ~ spl15_16 ),
inference(superposition,[],[f223,f1]) ).
fof(f223,plain,
( ! [X4] :
( sk_c11 != multiply(X4,sk_c10)
| sk_c10 != inverse(X4) )
| ~ spl15_16 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f279,plain,
( ~ spl15_3
| ~ spl15_7
| ~ spl15_16 ),
inference(avatar_contradiction_clause,[],[f278]) ).
fof(f278,plain,
( $false
| ~ spl15_3
| ~ spl15_7
| ~ spl15_16 ),
inference(subsumption_resolution,[],[f268,f253]) ).
fof(f268,plain,
( sk_c10 != inverse(sk_c2)
| ~ spl15_3
| ~ spl15_16 ),
inference(trivial_inequality_removal,[],[f264]) ).
fof(f264,plain,
( sk_c11 != sk_c11
| sk_c10 != inverse(sk_c2)
| ~ spl15_3
| ~ spl15_16 ),
inference(superposition,[],[f223,f250]) ).
fof(f242,plain,
( spl15_7
| spl15_14 ),
inference(avatar_split_clause,[],[f88,f191,f152]) ).
fof(f88,plain,
( sk_c8 = sF13
| sk_c10 = sF5 ),
inference(definition_folding,[],[f49,f65,f87]) ).
fof(f49,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
fof(f241,plain,
( spl15_11
| spl15_2 ),
inference(avatar_split_clause,[],[f76,f128,f171]) ).
fof(f76,plain,
( sk_c9 = sF10
| sk_c10 = sF6 ),
inference(definition_folding,[],[f4,f75,f67]) ).
fof(f4,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f239,plain,
( spl15_9
| spl15_3 ),
inference(avatar_split_clause,[],[f90,f133,f161]) ).
fof(f90,plain,
( sk_c11 = sF4
| sk_c11 = sF11 ),
inference(definition_folding,[],[f35,f78,f63]) ).
fof(f35,axiom,
( sk_c11 = multiply(sk_c2,sk_c10)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f238,plain,
( spl15_7
| spl15_4 ),
inference(avatar_split_clause,[],[f94,f138,f152]) ).
fof(f94,plain,
( sk_c10 = sF14
| sk_c10 = sF5 ),
inference(definition_folding,[],[f47,f91,f65]) ).
fof(f47,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
fof(f236,plain,
( spl15_16
| ~ spl15_2
| spl15_17
| spl15_18
| spl15_19
| spl15_20 ),
inference(avatar_split_clause,[],[f80,f234,f231,f228,f225,f128,f222]) ).
fof(f80,plain,
! [X3,X6,X9,X7,X4,X5] :
( sk_c11 != inverse(X3)
| sk_c10 != multiply(X5,sk_c11)
| sk_c11 != multiply(X3,sk_c10)
| inverse(X7) != inverse(inverse(X9))
| sk_c9 != multiply(X6,sk_c10)
| sk_c9 != sF10
| sk_c10 != inverse(X4)
| sk_c11 != inverse(X5)
| sk_c11 != multiply(X4,sk_c10)
| sk_c11 != multiply(X7,inverse(inverse(X9)))
| sk_c10 != inverse(X6)
| sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| inverse(X9) != multiply(X9,inverse(inverse(X9))) ),
inference(definition_folding,[],[f56,f75]) ).
fof(f56,plain,
! [X3,X6,X9,X7,X4,X5] :
( sk_c11 != inverse(X3)
| sk_c11 != multiply(X4,sk_c10)
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6)
| sk_c11 != inverse(X5)
| sk_c11 != multiply(X7,inverse(inverse(X9)))
| sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| inverse(X7) != inverse(inverse(X9))
| multiply(sk_c10,sk_c11) != sk_c9
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| sk_c10 != multiply(X5,sk_c11)
| sk_c10 != inverse(X4)
| sk_c11 != multiply(X3,sk_c10) ),
inference(equality_resolution,[],[f55]) ).
fof(f55,plain,
! [X3,X10,X6,X9,X7,X4,X5] :
( sk_c11 != inverse(X3)
| sk_c11 != multiply(X4,sk_c10)
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6)
| sk_c11 != inverse(X5)
| sk_c11 != multiply(X7,inverse(X10))
| sk_c11 != multiply(inverse(X10),sk_c10)
| inverse(X7) != inverse(X10)
| multiply(sk_c10,sk_c11) != sk_c9
| inverse(X9) != X10
| multiply(X9,inverse(X10)) != X10
| sk_c10 != multiply(X5,sk_c11)
| sk_c10 != inverse(X4)
| sk_c11 != multiply(X3,sk_c10) ),
inference(equality_resolution,[],[f54]) ).
fof(f54,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c11 != inverse(X3)
| sk_c11 != multiply(X4,sk_c10)
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6)
| sk_c11 != inverse(X5)
| inverse(X10) != X8
| sk_c11 != multiply(X7,X8)
| sk_c11 != multiply(X8,sk_c10)
| inverse(X7) != X8
| multiply(sk_c10,sk_c11) != sk_c9
| inverse(X9) != X10
| multiply(X9,X8) != X10
| sk_c10 != multiply(X5,sk_c11)
| sk_c10 != inverse(X4)
| sk_c11 != multiply(X3,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
fof(f220,plain,
( spl15_14
| spl15_3 ),
inference(avatar_split_clause,[],[f100,f133,f191]) ).
fof(f100,plain,
( sk_c11 = sF4
| sk_c8 = sF13 ),
inference(definition_folding,[],[f39,f87,f63]) ).
fof(f39,axiom,
( sk_c11 = multiply(sk_c2,sk_c10)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f219,plain,
( spl15_6
| spl15_2 ),
inference(avatar_split_clause,[],[f86,f128,f148]) ).
fof(f86,plain,
( sk_c9 = sF10
| sk_c9 = sF0 ),
inference(definition_folding,[],[f6,f57,f75]) ).
fof(f6,axiom,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c9 = multiply(sk_c4,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f218,plain,
( spl15_1
| spl15_7 ),
inference(avatar_split_clause,[],[f96,f152,f124]) ).
fof(f96,plain,
( sk_c10 = sF5
| sk_c6 = sF12 ),
inference(definition_folding,[],[f51,f82,f65]) ).
fof(f51,axiom,
( sk_c10 = inverse(sk_c2)
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
fof(f217,plain,
( spl15_3
| spl15_13 ),
inference(avatar_split_clause,[],[f85,f185,f133]) ).
fof(f85,plain,
( sk_c11 = sF7
| sk_c11 = sF4 ),
inference(definition_folding,[],[f40,f63,f69]) ).
fof(f40,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c11 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f214,plain,
( spl15_3
| spl15_15 ),
inference(avatar_split_clause,[],[f81,f203,f133]) ).
fof(f81,plain,
( sk_c11 = sF2
| sk_c11 = sF4 ),
inference(definition_folding,[],[f38,f63,f60]) ).
fof(f38,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c11 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f213,plain,
( spl15_15
| spl15_7 ),
inference(avatar_split_clause,[],[f108,f152,f203]) ).
fof(f108,plain,
( sk_c10 = sF5
| sk_c11 = sF2 ),
inference(definition_folding,[],[f48,f65,f60]) ).
fof(f48,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
fof(f210,plain,
( spl15_8
| spl15_11 ),
inference(avatar_split_clause,[],[f119,f171,f157]) ).
fof(f119,plain,
( sk_c10 = sF6
| sk_c11 = sF1 ),
inference(definition_folding,[],[f24,f67,f58]) ).
fof(f24,axiom,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f201,plain,
( spl15_9
| spl15_7 ),
inference(avatar_split_clause,[],[f121,f152,f161]) ).
fof(f121,plain,
( sk_c10 = sF5
| sk_c11 = sF11 ),
inference(definition_folding,[],[f45,f78,f65]) ).
fof(f45,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f200,plain,
( spl15_7
| spl15_13 ),
inference(avatar_split_clause,[],[f70,f185,f152]) ).
fof(f70,plain,
( sk_c11 = sF7
| sk_c10 = sF5 ),
inference(definition_folding,[],[f50,f65,f69]) ).
fof(f50,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
fof(f196,plain,
( spl15_7
| spl15_5 ),
inference(avatar_split_clause,[],[f84,f143,f152]) ).
fof(f84,plain,
( sk_c8 = sF8
| sk_c10 = sF5 ),
inference(definition_folding,[],[f52,f71,f65]) ).
fof(f52,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c8 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f195,plain,
( spl15_11
| spl15_10 ),
inference(avatar_split_clause,[],[f68,f166,f171]) ).
fof(f68,plain,
( sk_c11 = sF3
| sk_c10 = sF6 ),
inference(definition_folding,[],[f14,f67,f61]) ).
fof(f14,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f189,plain,
( spl15_10
| spl15_9 ),
inference(avatar_split_clause,[],[f114,f161,f166]) ).
fof(f114,plain,
( sk_c11 = sF11
| sk_c11 = sF3 ),
inference(definition_folding,[],[f15,f78,f61]) ).
fof(f15,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f182,plain,
( spl15_7
| spl15_11 ),
inference(avatar_split_clause,[],[f116,f171,f152]) ).
fof(f116,plain,
( sk_c10 = sF6
| sk_c10 = sF5 ),
inference(definition_folding,[],[f44,f65,f67]) ).
fof(f44,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f181,plain,
( spl15_9
| spl15_2 ),
inference(avatar_split_clause,[],[f79,f128,f161]) ).
fof(f79,plain,
( sk_c9 = sF10
| sk_c11 = sF11 ),
inference(definition_folding,[],[f5,f75,f78]) ).
fof(f5,axiom,
( sk_c11 = inverse(sk_c3)
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f180,plain,
( spl15_7
| spl15_12 ),
inference(avatar_split_clause,[],[f112,f177,f152]) ).
fof(f112,plain,
( sk_c6 = sF9
| sk_c10 = sF5 ),
inference(definition_folding,[],[f53,f73,f65]) ).
fof(f53,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).
fof(f174,plain,
( spl15_11
| spl15_3 ),
inference(avatar_split_clause,[],[f122,f133,f171]) ).
fof(f122,plain,
( sk_c11 = sF4
| sk_c10 = sF6 ),
inference(definition_folding,[],[f34,f67,f63]) ).
fof(f34,axiom,
( sk_c11 = multiply(sk_c2,sk_c10)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f164,plain,
( spl15_8
| spl15_9 ),
inference(avatar_split_clause,[],[f117,f161,f157]) ).
fof(f117,plain,
( sk_c11 = sF11
| sk_c11 = sF1 ),
inference(definition_folding,[],[f25,f58,f78]) ).
fof(f25,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f155,plain,
( spl15_6
| spl15_7 ),
inference(avatar_split_clause,[],[f66,f152,f148]) ).
fof(f66,plain,
( sk_c10 = sF5
| sk_c9 = sF0 ),
inference(definition_folding,[],[f46,f57,f65]) ).
fof(f46,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c9 = multiply(sk_c4,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f146,plain,
( spl15_5
| spl15_3 ),
inference(avatar_split_clause,[],[f89,f133,f143]) ).
fof(f89,plain,
( sk_c11 = sF4
| sk_c8 = sF8 ),
inference(definition_folding,[],[f42,f71,f63]) ).
fof(f42,axiom,
( sk_c11 = multiply(sk_c2,sk_c10)
| sk_c8 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f141,plain,
( spl15_2
| spl15_4 ),
inference(avatar_split_clause,[],[f115,f138,f128]) ).
fof(f115,plain,
( sk_c10 = sF14
| sk_c9 = sF10 ),
inference(definition_folding,[],[f7,f91,f75]) ).
fof(f7,axiom,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f136,plain,
( spl15_3
| spl15_1 ),
inference(avatar_split_clause,[],[f104,f124,f133]) ).
fof(f104,plain,
( sk_c6 = sF12
| sk_c11 = sF4 ),
inference(definition_folding,[],[f41,f82,f63]) ).
fof(f41,axiom,
( sk_c11 = multiply(sk_c2,sk_c10)
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP338-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 22:39:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.51 % (17906)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.21/0.51 % (17930)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)
% 0.21/0.51 % (17914)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)
% 0.21/0.51 % (17931)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)
% 0.21/0.52 % (17922)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)
% 0.21/0.52 % (17922)Instruction limit reached!
% 0.21/0.52 % (17922)------------------------------
% 0.21/0.52 % (17922)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (17915)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (17922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (17922)Termination reason: Unknown
% 0.21/0.53 % (17922)Termination phase: Property scanning
% 0.21/0.53
% 0.21/0.53 % (17922)Memory used [KB]: 1279
% 0.21/0.53 % (17922)Time elapsed: 0.002 s
% 0.21/0.53 % (17922)Instructions burned: 3 (million)
% 0.21/0.53 % (17922)------------------------------
% 0.21/0.53 % (17922)------------------------------
% 0.21/0.53 % (17914)Instruction limit reached!
% 0.21/0.53 % (17914)------------------------------
% 0.21/0.53 % (17914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (17914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (17914)Termination reason: Unknown
% 0.21/0.53 % (17914)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (17914)Memory used [KB]: 5884
% 0.21/0.53 % (17914)Time elapsed: 0.004 s
% 0.21/0.53 % (17914)Instructions burned: 4 (million)
% 0.21/0.53 % (17914)------------------------------
% 0.21/0.53 % (17914)------------------------------
% 0.21/0.53 % (17905)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.54 % (17921)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)
% 0.21/0.54 % (17919)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)
% 0.21/0.54 % (17918)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.54 % (17919)Instruction limit reached!
% 0.21/0.54 % (17919)------------------------------
% 0.21/0.54 % (17919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (17919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (17919)Termination reason: Unknown
% 0.21/0.54 % (17919)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (17919)Memory used [KB]: 5756
% 0.21/0.54 % (17919)Time elapsed: 0.002 s
% 0.21/0.54 % (17919)Instructions burned: 3 (million)
% 0.21/0.54 % (17919)------------------------------
% 0.21/0.54 % (17919)------------------------------
% 0.21/0.54 % (17918)Instruction limit reached!
% 0.21/0.54 % (17918)------------------------------
% 0.21/0.54 % (17918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (17918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (17918)Termination reason: Unknown
% 0.21/0.54 % (17918)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (17918)Memory used [KB]: 6012
% 0.21/0.54 % (17918)Time elapsed: 0.131 s
% 0.21/0.54 % (17918)Instructions burned: 6 (million)
% 0.21/0.54 % (17918)------------------------------
% 0.21/0.54 % (17918)------------------------------
% 0.21/0.54 % (17912)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.54 % (17929)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)
% 0.21/0.55 % (17911)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.55 % (17910)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)
% 0.21/0.55 % (17908)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)
% 0.21/0.55 % (17917)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.21/0.55 % (17936)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)
% 0.21/0.55 % (17913)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)
% 0.21/0.55 % (17908)Instruction limit reached!
% 0.21/0.55 % (17908)------------------------------
% 0.21/0.55 % (17908)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (17908)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (17908)Termination reason: Unknown
% 0.21/0.55 % (17908)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (17908)Memory used [KB]: 5884
% 0.21/0.55 % (17908)Time elapsed: 0.004 s
% 0.21/0.55 % (17908)Instructions burned: 6 (million)
% 0.21/0.55 % (17908)------------------------------
% 0.21/0.55 % (17908)------------------------------
% 0.21/0.55 % (17921)Instruction limit reached!
% 0.21/0.55 % (17921)------------------------------
% 0.21/0.55 % (17921)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (17935)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.21/0.56 % (17932)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.21/0.56 % (17927)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)
% 0.21/0.56 % (17933)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)
% 0.21/0.56 % (17925)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)
% 0.21/0.56 % (17909)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.21/0.56 % (17921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (17921)Termination reason: Unknown
% 0.21/0.56 % (17921)Termination phase: Finite model building preprocessing
% 0.21/0.56
% 0.21/0.56 % (17921)Memory used [KB]: 1535
% 0.21/0.56 % (17921)Time elapsed: 0.006 s
% 0.21/0.56 % (17921)Instructions burned: 8 (million)
% 0.21/0.56 % (17921)------------------------------
% 0.21/0.56 % (17921)------------------------------
% 0.21/0.56 % (17923)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.56 % (17930)Instruction limit reached!
% 0.21/0.56 % (17930)------------------------------
% 0.21/0.56 % (17930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (17920)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)
% 0.21/0.56 % (17909)Refutation not found, incomplete strategy% (17909)------------------------------
% 0.21/0.56 % (17909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (17909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (17909)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.56
% 0.21/0.56 % (17909)Memory used [KB]: 5884
% 0.21/0.56 % (17909)Time elapsed: 0.142 s
% 0.21/0.56 % (17909)Instructions burned: 5 (million)
% 0.21/0.56 % (17909)------------------------------
% 0.21/0.56 % (17909)------------------------------
% 0.21/0.56 % (17931)Refutation not found, incomplete strategy% (17931)------------------------------
% 0.21/0.56 % (17931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (17931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (17931)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.56
% 0.21/0.56 % (17931)Memory used [KB]: 6140
% 0.21/0.56 % (17931)Time elapsed: 0.128 s
% 0.21/0.56 % (17931)Instructions burned: 15 (million)
% 0.21/0.56 % (17931)------------------------------
% 0.21/0.56 % (17931)------------------------------
% 0.21/0.56 % (17926)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.56 % (17924)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)
% 0.21/0.56 % (17925)Instruction limit reached!
% 0.21/0.56 % (17925)------------------------------
% 0.21/0.56 % (17925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (17910)Refutation not found, incomplete strategy% (17910)------------------------------
% 0.21/0.56 % (17910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (17910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (17910)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.56
% 0.21/0.56 % (17910)Memory used [KB]: 6012
% 0.21/0.56 % (17910)Time elapsed: 0.152 s
% 0.21/0.56 % (17910)Instructions burned: 6 (million)
% 0.21/0.56 % (17910)------------------------------
% 0.21/0.56 % (17910)------------------------------
% 0.21/0.56 % (17924)Refutation not found, incomplete strategy% (17924)------------------------------
% 0.21/0.56 % (17924)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (17916)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.57 % (17923)Instruction limit reached!
% 0.21/0.57 % (17923)------------------------------
% 0.21/0.57 % (17923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (17923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (17923)Termination reason: Unknown
% 0.21/0.57 % (17923)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (17923)Memory used [KB]: 6012
% 0.21/0.57 % (17923)Time elapsed: 0.128 s
% 0.21/0.57 % (17923)Instructions burned: 8 (million)
% 0.21/0.57 % (17923)------------------------------
% 0.21/0.57 % (17923)------------------------------
% 0.21/0.57 % (17916)Instruction limit reached!
% 0.21/0.57 % (17916)------------------------------
% 0.21/0.57 % (17916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (17916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (17916)Termination reason: Unknown
% 0.21/0.57 % (17916)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (17916)Memory used [KB]: 5884
% 0.21/0.57 % (17916)Time elapsed: 0.155 s
% 0.21/0.57 % (17916)Instructions burned: 6 (million)
% 0.21/0.57 % (17916)------------------------------
% 0.21/0.57 % (17916)------------------------------
% 0.21/0.57 % (17906)Instruction limit reached!
% 0.21/0.57 % (17906)------------------------------
% 0.21/0.57 % (17906)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (17906)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (17906)Termination reason: Unknown
% 0.21/0.57 % (17906)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (17906)Memory used [KB]: 1663
% 0.21/0.57 % (17906)Time elapsed: 0.150 s
% 0.21/0.57 % (17906)Instructions burned: 42 (million)
% 0.21/0.57 % (17906)------------------------------
% 0.21/0.57 % (17906)------------------------------
% 0.21/0.57 % (17924)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (17924)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.57
% 0.21/0.57 % (17924)Memory used [KB]: 10490
% 0.21/0.57 % (17924)Time elapsed: 0.157 s
% 0.21/0.57 % (17924)Instructions burned: 7 (million)
% 0.21/0.57 % (17924)------------------------------
% 0.21/0.57 % (17924)------------------------------
% 0.21/0.57 % (17929)Refutation not found, incomplete strategy% (17929)------------------------------
% 0.21/0.57 % (17929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (17929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (17929)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.57
% 0.21/0.57 % (17929)Memory used [KB]: 5884
% 0.21/0.57 % (17929)Time elapsed: 0.155 s
% 0.21/0.57 % (17929)Instructions burned: 4 (million)
% 0.21/0.57 % (17929)------------------------------
% 0.21/0.57 % (17929)------------------------------
% 0.21/0.57 % (17925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (17925)Termination reason: Unknown
% 0.21/0.57 % (17925)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (17925)Memory used [KB]: 6012
% 0.21/0.57 % (17925)Time elapsed: 0.155 s
% 0.21/0.57 % (17925)Instructions burned: 7 (million)
% 0.21/0.57 % (17925)------------------------------
% 0.21/0.57 % (17925)------------------------------
% 0.21/0.57 % (17930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (17930)Termination reason: Unknown
% 0.21/0.57 % (17930)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (17930)Memory used [KB]: 6908
% 0.21/0.57 % (17930)Time elapsed: 0.142 s
% 0.21/0.57 % (17930)Instructions burned: 46 (million)
% 0.21/0.57 % (17930)------------------------------
% 0.21/0.57 % (17930)------------------------------
% 0.21/0.57 % (17935)Refutation not found, incomplete strategy% (17935)------------------------------
% 0.21/0.57 % (17935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (17935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (17935)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.57
% 0.21/0.57 % (17935)Memory used [KB]: 6012
% 0.21/0.57 % (17935)Time elapsed: 0.165 s
% 0.21/0.57 % (17935)Instructions burned: 6 (million)
% 0.21/0.57 % (17935)------------------------------
% 0.21/0.57 % (17935)------------------------------
% 0.21/0.57 % (17928)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)
% 0.21/0.58 % (17926)Instruction limit reached!
% 0.21/0.58 % (17926)------------------------------
% 0.21/0.58 % (17926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (17917)Instruction limit reached!
% 0.21/0.58 % (17917)------------------------------
% 0.21/0.58 % (17917)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (17917)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (17917)Termination reason: Unknown
% 0.21/0.58 % (17917)Termination phase: Saturation
% 0.21/0.58
% 0.21/0.58 % (17917)Memory used [KB]: 6140
% 0.21/0.58 % (17917)Time elapsed: 0.165 s
% 0.21/0.58 % (17917)Instructions burned: 24 (million)
% 0.21/0.58 % (17917)------------------------------
% 0.21/0.58 % (17917)------------------------------
% 0.21/0.58 % (17926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (17926)Termination reason: Unknown
% 0.21/0.58 % (17926)Termination phase: Saturation
% 0.21/0.58
% 0.21/0.58 % (17926)Memory used [KB]: 1407
% 0.21/0.58 % (17926)Time elapsed: 0.005 s
% 0.21/0.58 % (17926)Instructions burned: 8 (million)
% 0.21/0.58 % (17926)------------------------------
% 0.21/0.58 % (17926)------------------------------
% 0.21/0.59 % (17911)Instruction limit reached!
% 0.21/0.59 % (17911)------------------------------
% 0.21/0.59 % (17911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59 % (17911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59 % (17911)Termination reason: Unknown
% 0.21/0.59 % (17911)Termination phase: Saturation
% 0.21/0.59
% 0.21/0.59 % (17911)Memory used [KB]: 6268
% 0.21/0.59 % (17911)Time elapsed: 0.177 s
% 0.21/0.59 % (17911)Instructions burned: 26 (million)
% 0.21/0.59 % (17911)------------------------------
% 0.21/0.59 % (17911)------------------------------
% 0.21/0.61 % (17915)Instruction limit reached!
% 0.21/0.61 % (17915)------------------------------
% 0.21/0.61 % (17915)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.61 % (17920)Instruction limit reached!
% 0.21/0.61 % (17920)------------------------------
% 0.21/0.61 % (17920)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.61 % (17920)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.61 % (17920)Termination reason: Unknown
% 0.21/0.61 % (17920)Termination phase: Saturation
% 0.21/0.61
% 0.21/0.61 % (17920)Memory used [KB]: 1663
% 0.21/0.61 % (17920)Time elapsed: 0.179 s
% 0.21/0.61 % (17920)Instructions burned: 29 (million)
% 0.21/0.61 % (17920)------------------------------
% 0.21/0.61 % (17920)------------------------------
% 1.86/0.62 % (17915)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.62 % (17915)Termination reason: Unknown
% 1.86/0.62 % (17915)Termination phase: Saturation
% 1.86/0.62
% 1.86/0.62 % (17915)Memory used [KB]: 6908
% 1.86/0.62 % (17915)Time elapsed: 0.194 s
% 1.86/0.62 % (17915)Instructions burned: 51 (million)
% 1.86/0.62 % (17915)------------------------------
% 1.86/0.62 % (17915)------------------------------
% 1.86/0.62 % (17912)Instruction limit reached!
% 1.86/0.62 % (17912)------------------------------
% 1.86/0.62 % (17912)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.62 % (18029)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=14:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/14Mi)
% 1.86/0.63 % (17913)Instruction limit reached!
% 1.86/0.63 % (17913)------------------------------
% 1.86/0.63 % (17913)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.63 % (17912)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.63 % (17912)Termination reason: Unknown
% 1.86/0.63 % (17912)Termination phase: Saturation
% 1.86/0.63
% 1.86/0.63 % (17912)Memory used [KB]: 1663
% 1.86/0.63 % (17912)Time elapsed: 0.193 s
% 1.86/0.63 % (17912)Instructions burned: 51 (million)
% 1.86/0.63 % (17912)------------------------------
% 1.86/0.63 % (17912)------------------------------
% 1.86/0.63 % (17913)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.63 % (17913)Termination reason: Unknown
% 1.86/0.63 % (17913)Termination phase: Saturation
% 1.86/0.63
% 1.86/0.63 % (17913)Memory used [KB]: 6652
% 1.86/0.63 % (17913)Time elapsed: 0.182 s
% 1.86/0.63 % (17913)Instructions burned: 51 (million)
% 1.86/0.63 % (17913)------------------------------
% 1.86/0.63 % (17913)------------------------------
% 2.21/0.64 % (18029)Instruction limit reached!
% 2.21/0.64 % (18029)------------------------------
% 2.21/0.64 % (18029)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.65 % (18033)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 (2998ds/3Mi)
% 2.21/0.65 % (18029)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.65 % (18029)Termination reason: Unknown
% 2.21/0.65 % (18029)Termination phase: Saturation
% 2.21/0.65
% 2.21/0.65 % (18029)Memory used [KB]: 6140
% 2.21/0.65 % (18029)Time elapsed: 0.046 s
% 2.21/0.65 % (18029)Instructions burned: 16 (million)
% 2.21/0.65 % (18029)------------------------------
% 2.21/0.65 % (18029)------------------------------
% 2.21/0.65 % (18033)Instruction limit reached!
% 2.21/0.65 % (18033)------------------------------
% 2.21/0.65 % (18033)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.65 % (18033)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.65 % (18033)Termination reason: Unknown
% 2.21/0.65 % (18033)Termination phase: Saturation
% 2.21/0.65
% 2.21/0.65 % (18033)Memory used [KB]: 5756
% 2.21/0.65 % (18033)Time elapsed: 0.003 s
% 2.21/0.65 % (18033)Instructions burned: 3 (million)
% 2.21/0.65 % (18033)------------------------------
% 2.21/0.65 % (18033)------------------------------
% 2.21/0.66 % (17927)Instruction limit reached!
% 2.21/0.66 % (17927)------------------------------
% 2.21/0.66 % (17927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.66 % (17927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.66 % (17927)Termination reason: Unknown
% 2.21/0.66 % (17927)Termination phase: Saturation
% 2.21/0.66
% 2.21/0.66 % (17927)Memory used [KB]: 6908
% 2.21/0.66 % (17927)Time elapsed: 0.249 s
% 2.21/0.66 % (17927)Instructions burned: 69 (million)
% 2.21/0.66 % (17927)------------------------------
% 2.21/0.66 % (17927)------------------------------
% 2.21/0.66 % (17932)Instruction limit reached!
% 2.21/0.66 % (17932)------------------------------
% 2.21/0.66 % (17932)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.66 % (17932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.66 % (17932)Termination reason: Unknown
% 2.21/0.66 % (17932)Termination phase: Saturation
% 2.21/0.66
% 2.21/0.66 % (17932)Memory used [KB]: 7164
% 2.21/0.66 % (17932)Time elapsed: 0.188 s
% 2.21/0.66 % (17932)Instructions burned: 73 (million)
% 2.21/0.66 % (17932)------------------------------
% 2.21/0.66 % (17932)------------------------------
% 2.21/0.66 % (18035)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/33Mi)
% 2.39/0.66 % (18030)lrs+4_1:1_fde=unused:sos=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 2.39/0.66 % (18062)lrs+1011_1:7_av=off:bsr=on:fd=preordered:nwc=5.0:s2a=on:s2at=2.0:sp=reverse_frequency:to=lpo:urr=on:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/45Mi)
% 2.39/0.67 % (17933)Instruction limit reached!
% 2.39/0.67 % (17933)------------------------------
% 2.39/0.67 % (17933)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.67 % (17933)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.67 % (17933)Termination reason: Unknown
% 2.39/0.67 % (17933)Termination phase: Saturation
% 2.39/0.67
% 2.39/0.67 % (17933)Memory used [KB]: 2046
% 2.39/0.67 % (17933)Time elapsed: 0.205 s
% 2.39/0.67 % (17933)Instructions burned: 74 (million)
% 2.39/0.67 % (17933)------------------------------
% 2.39/0.67 % (17933)------------------------------
% 2.39/0.68 % (18050)fmb+10_1:1_fde=unused:fmbsr=1.78:fmbsso=preprocessed_usage:gsp=on:ins=1:newcnf=on:updr=off:i=22:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/22Mi)
% 2.39/0.68 % (18046)dis+1002_1:32_av=off:awrs=decay:awrsf=16:bs=on:fsr=off:gs=on:gsp=on:nwc=1.4:s2a=on:s2agt=32:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/34Mi)
% 2.39/0.69 % (18055)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/75Mi)
% 2.39/0.69 % (18030)Refutation not found, incomplete strategy% (18030)------------------------------
% 2.39/0.69 % (18030)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.69 % (18030)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.69 % (18030)Termination reason: Refutation not found, incomplete strategy
% 2.39/0.69
% 2.39/0.69 % (18030)Memory used [KB]: 6012
% 2.39/0.69 % (18030)Time elapsed: 0.106 s
% 2.39/0.69 % (18030)Instructions burned: 11 (million)
% 2.39/0.69 % (18030)------------------------------
% 2.39/0.69 % (18030)------------------------------
% 2.39/0.70 % (18057)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/7Mi)
% 2.39/0.70 TRYING [1]
% 2.39/0.70 TRYING [2]
% 2.39/0.70 TRYING [3]
% 2.39/0.70 % (18050)Instruction limit reached!
% 2.39/0.70 % (18050)------------------------------
% 2.39/0.70 % (18050)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.70 % (18050)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.70 % (18050)Termination reason: Unknown
% 2.39/0.70 % (18050)Termination phase: Finite model building constraint generation
% 2.39/0.70
% 2.39/0.70 % (18050)Memory used [KB]: 6524
% 2.39/0.70 % (18050)Time elapsed: 0.110 s
% 2.39/0.70 % (18050)Instructions burned: 23 (million)
% 2.39/0.70 % (18050)------------------------------
% 2.39/0.70 % (18050)------------------------------
% 2.39/0.70 % (18041)dis+21_1:2_av=off:bd=off:fd=off:lcm=predicate:nwc=10.0:s2a=on:s2at=2.0:sp=reverse_arity:spb=goal:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/29Mi)
% 2.39/0.71 % (18065)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=116:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/116Mi)
% 2.39/0.71 % (18049)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 2.39/0.71 % (18071)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/7Mi)
% 2.39/0.71 % (17928)Instruction limit reached!
% 2.39/0.71 % (17928)------------------------------
% 2.39/0.71 % (17928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.71 % (17928)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.71 % (17928)Termination reason: Unknown
% 2.39/0.71 % (17928)Termination phase: Saturation
% 2.39/0.71
% 2.39/0.71 % (17928)Memory used [KB]: 6652
% 2.39/0.71 % (17928)Time elapsed: 0.283 s
% 2.39/0.71 % (17928)Instructions burned: 97 (million)
% 2.39/0.71 % (17928)------------------------------
% 2.39/0.71 % (17928)------------------------------
% 2.39/0.72 % (18057)Instruction limit reached!
% 2.39/0.72 % (18057)------------------------------
% 2.39/0.72 % (18057)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.72 % (18057)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.72 % (18057)Termination reason: Unknown
% 2.39/0.72 % (18057)Termination phase: Saturation
% 2.39/0.72
% 2.39/0.72 % (18057)Memory used [KB]: 6012
% 2.39/0.72 % (18057)Time elapsed: 0.105 s
% 2.39/0.72 % (18057)Instructions burned: 7 (million)
% 2.39/0.72 % (18057)------------------------------
% 2.39/0.72 % (18057)------------------------------
% 2.39/0.72 % (18060)lrs+1011_1:64_nwc=3.0:s2a=on:sd=1:sgt=64:ss=included:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/37Mi)
% 2.39/0.72 % (18064)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=151:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/151Mi)
% 2.67/0.72 % (18072)lrs+1011_1:1_aac=none:drc=off:fsr=off:nwc=2.0:sp=occurrence:ss=included:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 2.67/0.72 % (18063)lrs+1011_1:1_ep=RS:flr=on:nm=2:sos=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 2.67/0.72 % (18063)Refutation not found, incomplete strategy% (18063)------------------------------
% 2.67/0.72 % (18063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.72 % (18063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.72 % (18063)Termination reason: Refutation not found, incomplete strategy
% 2.67/0.72
% 2.67/0.72 % (18063)Memory used [KB]: 5884
% 2.67/0.72 % (18063)Time elapsed: 0.129 s
% 2.67/0.72 % (18063)Instructions burned: 4 (million)
% 2.67/0.72 % (18063)------------------------------
% 2.67/0.72 % (18063)------------------------------
% 2.67/0.73 % (18062)Instruction limit reached!
% 2.67/0.73 % (18062)------------------------------
% 2.67/0.73 % (18062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.73 % (18062)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.73 % (18062)Termination reason: Unknown
% 2.67/0.73 % (18062)Termination phase: Saturation
% 2.67/0.73
% 2.67/0.73 % (18062)Memory used [KB]: 1791
% 2.67/0.73 % (18062)Time elapsed: 0.108 s
% 2.67/0.73 % (18062)Instructions burned: 45 (million)
% 2.67/0.73 % (18062)------------------------------
% 2.67/0.73 % (18062)------------------------------
% 2.67/0.73 % (18074)lrs+2_1:1_drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=57:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/57Mi)
% 2.67/0.73 % (18058)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=151:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/151Mi)
% 2.67/0.73 % (18071)Instruction limit reached!
% 2.67/0.73 % (18071)------------------------------
% 2.67/0.73 % (18071)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.73 % (18071)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.73 % (18071)Termination reason: Unknown
% 2.67/0.73 % (18071)Termination phase: Saturation
% 2.67/0.73
% 2.67/0.73 % (18071)Memory used [KB]: 6012
% 2.67/0.73 % (18071)Time elapsed: 0.121 s
% 2.67/0.73 % (18071)Instructions burned: 8 (million)
% 2.67/0.73 % (18071)------------------------------
% 2.67/0.73 % (18071)------------------------------
% 2.67/0.73 % (18035)Instruction limit reached!
% 2.67/0.73 % (18035)------------------------------
% 2.67/0.73 % (18035)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.73 % (18035)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.73 % (18035)Termination reason: Unknown
% 2.67/0.73 % (18035)Termination phase: Saturation
% 2.67/0.73
% 2.67/0.73 % (18035)Memory used [KB]: 6524
% 2.67/0.73 % (18035)Time elapsed: 0.128 s
% 2.67/0.73 % (18035)Instructions burned: 33 (million)
% 2.67/0.73 % (18035)------------------------------
% 2.67/0.73 % (18035)------------------------------
% 2.67/0.73 % (17936)Instruction limit reached!
% 2.67/0.73 % (17936)------------------------------
% 2.67/0.73 % (17936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.73 % (17936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.73 % (17936)Termination reason: Unknown
% 2.67/0.73 % (17936)Termination phase: Saturation
% 2.67/0.73
% 2.67/0.73 % (17936)Memory used [KB]: 8187
% 2.67/0.73 % (17936)Time elapsed: 0.306 s
% 2.67/0.73 % (17936)Instructions burned: 102 (million)
% 2.67/0.73 % (17936)------------------------------
% 2.67/0.73 % (17936)------------------------------
% 2.67/0.74 % (18046)Instruction limit reached!
% 2.67/0.74 % (18046)------------------------------
% 2.67/0.74 % (18046)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.74 % (18046)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.74 % (18046)Termination reason: Unknown
% 2.67/0.74 % (18046)Termination phase: Saturation
% 2.67/0.74
% 2.67/0.74 % (18046)Memory used [KB]: 6396
% 2.67/0.74 % (18046)Time elapsed: 0.141 s
% 2.67/0.74 % (18046)Instructions burned: 34 (million)
% 2.67/0.74 % (18046)------------------------------
% 2.67/0.74 % (18046)------------------------------
% 2.67/0.74 % (18089)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=108:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/108Mi)
% 2.67/0.74 % (18061)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=147:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/147Mi)
% 2.67/0.75 % (18085)lrs+1011_1:6_av=off:bce=on:ins=1:nwc=2.0:tgt=ground:thsq=on:thsqc=32:updr=off:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/69Mi)
% 2.67/0.75 % (18087)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=307:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/307Mi)
% 2.85/0.75 % (17905)First to succeed.
% 2.85/0.76 % (18060)Refutation not found, non-redundant clauses discarded% (18060)------------------------------
% 2.85/0.76 % (18060)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.76 % (18060)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.76 % (18060)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.85/0.76
% 2.85/0.76 % (18060)Memory used [KB]: 6268
% 2.85/0.76 % (18060)Time elapsed: 0.144 s
% 2.85/0.76 % (18060)Instructions burned: 35 (million)
% 2.85/0.76 % (18060)------------------------------
% 2.85/0.76 % (18060)------------------------------
% 2.85/0.76 % (18041)Instruction limit reached!
% 2.85/0.76 % (18041)------------------------------
% 2.85/0.76 % (18041)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.76 % (18041)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.76 % (18041)Termination reason: Unknown
% 2.85/0.76 % (18041)Termination phase: Saturation
% 2.85/0.76
% 2.85/0.76 % (18041)Memory used [KB]: 1535
% 2.85/0.76 % (18041)Time elapsed: 0.161 s
% 2.85/0.76 % (18041)Instructions burned: 30 (million)
% 2.85/0.76 % (18041)------------------------------
% 2.85/0.76 % (18041)------------------------------
% 2.85/0.76 % (18090)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=278:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/278Mi)
% 2.85/0.77 % (18086)dis+1010_1:4_atotf=0.3:fsr=off:nwc=5.0:s2a=on:s2at=5.0:slsq=on:slsqc=1:slsqr=3,2:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/92Mi)
% 2.85/0.77 % (18088)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=137:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/137Mi)
% 2.85/0.78 % (18092)dis+10_1:1_br=off:plsq=on:plsqr=32,1:slsq=on:slsqc=1:slsqr=1,1:sp=frequency:to=lpo:urr=ec_only:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/500Mi)
% 2.85/0.78 % (17905)Refutation found. Thanks to Tanya!
% 2.85/0.78 % SZS status Unsatisfiable for theBenchmark
% 2.85/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 2.85/0.78 % (17905)------------------------------
% 2.85/0.78 % (17905)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.78 % (17905)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.78 % (17905)Termination reason: Refutation
% 2.85/0.78
% 2.85/0.78 % (17905)Memory used [KB]: 7675
% 2.85/0.78 % (17905)Time elapsed: 0.346 s
% 2.85/0.78 % (17905)Instructions burned: 118 (million)
% 2.85/0.78 % (17905)------------------------------
% 2.85/0.78 % (17905)------------------------------
% 2.85/0.78 % (17901)Success in time 0.418 s
%------------------------------------------------------------------------------