TSTP Solution File: GRP347-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP347-1 : 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_sat --cores 0 -t %d %s
% Computer : n011.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 16:21:22 EDT 2022
% Result : Unsatisfiable 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 55
% Syntax : Number of formulae : 229 ( 6 unt; 0 def)
% Number of atoms : 814 ( 246 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1128 ( 543 ~; 562 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 24 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f992,plain,
$false,
inference(avatar_sat_refutation,[],[f49,f54,f63,f64,f73,f81,f86,f87,f92,f93,f94,f99,f100,f105,f106,f107,f108,f109,f111,f113,f125,f126,f127,f128,f129,f133,f134,f135,f136,f137,f138,f142,f168,f243,f265,f276,f281,f371,f449,f496,f539,f541,f696,f717,f734,f757,f779,f792,f991]) ).
fof(f991,plain,
( ~ spl3_1
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_13
| spl3_19 ),
inference(avatar_contradiction_clause,[],[f990]) ).
fof(f990,plain,
( $false
| ~ spl3_1
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_13
| spl3_19 ),
inference(subsumption_resolution,[],[f989,f950]) ).
fof(f950,plain,
( sk_c6 != sk_c7
| ~ spl3_1
| ~ spl3_3
| ~ spl3_13
| spl3_19 ),
inference(superposition,[],[f152,f940]) ).
fof(f940,plain,
( identity = sk_c7
| ~ spl3_1
| ~ spl3_3
| ~ spl3_13 ),
inference(backward_demodulation,[],[f909,f495]) ).
fof(f495,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_13 ),
inference(forward_demodulation,[],[f491,f53]) ).
fof(f53,plain,
( sk_c5 = inverse(sk_c6)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f51,plain,
( spl3_3
<=> sk_c5 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f491,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl3_1
| ~ spl3_13 ),
inference(superposition,[],[f179,f476]) ).
fof(f476,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl3_1
| ~ spl3_13 ),
inference(forward_demodulation,[],[f474,f44]) ).
fof(f44,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl3_1
<=> sk_c6 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f474,plain,
( sk_c6 = multiply(inverse(sk_c3),sk_c7)
| ~ spl3_13 ),
inference(superposition,[],[f179,f104]) ).
fof(f104,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl3_13
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f179,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f171,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f171,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f909,plain,
( identity = multiply(sk_c5,sk_c6)
| ~ spl3_3 ),
inference(superposition,[],[f2,f53]) ).
fof(f152,plain,
( identity != sk_c6
| spl3_19 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f150,plain,
( spl3_19
<=> identity = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f989,plain,
( sk_c6 = sk_c7
| ~ spl3_1
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_13 ),
inference(forward_demodulation,[],[f976,f476]) ).
fof(f976,plain,
( sk_c7 = multiply(sk_c6,sk_c7)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_13 ),
inference(backward_demodulation,[],[f85,f965]) ).
fof(f965,plain,
( sk_c7 = sk_c5
| ~ spl3_1
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_13 ),
inference(superposition,[],[f943,f470]) ).
fof(f470,plain,
( sk_c7 = multiply(sk_c7,sk_c5)
| ~ spl3_5
| ~ spl3_7 ),
inference(forward_demodulation,[],[f468,f62]) ).
fof(f62,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl3_5
<=> sk_c7 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f468,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c5)
| ~ spl3_7 ),
inference(superposition,[],[f179,f72]) ).
fof(f72,plain,
( sk_c5 = multiply(sk_c4,sk_c7)
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f70,plain,
( spl3_7
<=> sk_c5 = multiply(sk_c4,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f943,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl3_1
| ~ spl3_3
| ~ spl3_13 ),
inference(backward_demodulation,[],[f1,f940]) ).
fof(f85,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl3_10
<=> sk_c7 = multiply(sk_c6,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f792,plain,
( spl3_22
| ~ spl3_5
| ~ spl3_7
| ~ spl3_19 ),
inference(avatar_split_clause,[],[f615,f150,f70,f60,f163]) ).
fof(f163,plain,
( spl3_22
<=> sk_c6 = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).
fof(f615,plain,
( sk_c6 = sk_c5
| ~ spl3_5
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f486,f267]) ).
fof(f267,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c6
| ~ spl3_19 ),
inference(backward_demodulation,[],[f2,f151]) ).
fof(f151,plain,
( identity = sk_c6
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f486,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c7)
| ~ spl3_5
| ~ spl3_7 ),
inference(superposition,[],[f179,f470]) ).
fof(f779,plain,
( spl3_2
| ~ spl3_10
| ~ spl3_19
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f778]) ).
fof(f778,plain,
( $false
| spl3_2
| ~ spl3_10
| ~ spl3_19
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f777,f266]) ).
fof(f266,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl3_19 ),
inference(backward_demodulation,[],[f1,f151]) ).
fof(f777,plain,
( sk_c6 != multiply(sk_c6,sk_c6)
| spl3_2
| ~ spl3_10
| ~ spl3_19
| ~ spl3_22 ),
inference(forward_demodulation,[],[f776,f388]) ).
fof(f388,plain,
( sk_c6 = sk_c7
| ~ spl3_10
| ~ spl3_19
| ~ spl3_22 ),
inference(forward_demodulation,[],[f282,f266]) ).
fof(f282,plain,
( sk_c7 = multiply(sk_c6,sk_c6)
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f85,f164]) ).
fof(f164,plain,
( sk_c6 = sk_c5
| ~ spl3_22 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f776,plain,
( sk_c6 != multiply(sk_c6,sk_c7)
| spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f47,f164]) ).
fof(f47,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| spl3_2 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl3_2
<=> multiply(sk_c6,sk_c7) = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f757,plain,
( ~ spl3_3
| ~ spl3_10
| ~ spl3_18
| ~ spl3_19
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f756]) ).
fof(f756,plain,
( $false
| ~ spl3_3
| ~ spl3_10
| ~ spl3_18
| ~ spl3_19
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f755,f277]) ).
fof(f277,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f53,f164]) ).
fof(f755,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl3_3
| ~ spl3_10
| ~ spl3_18
| ~ spl3_19
| ~ spl3_22 ),
inference(forward_demodulation,[],[f745,f277]) ).
fof(f745,plain,
( sk_c6 != inverse(inverse(sk_c6))
| ~ spl3_10
| ~ spl3_18
| ~ spl3_19
| ~ spl3_22 ),
inference(trivial_inequality_removal,[],[f741]) ).
fof(f741,plain,
( sk_c6 != inverse(inverse(sk_c6))
| sk_c6 != sk_c6
| ~ spl3_10
| ~ spl3_18
| ~ spl3_19
| ~ spl3_22 ),
inference(superposition,[],[f739,f267]) ).
fof(f739,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) )
| ~ spl3_10
| ~ spl3_18
| ~ spl3_19
| ~ spl3_22 ),
inference(forward_demodulation,[],[f738,f388]) ).
fof(f738,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3) )
| ~ spl3_10
| ~ spl3_18
| ~ spl3_19
| ~ spl3_22 ),
inference(forward_demodulation,[],[f141,f388]) ).
fof(f141,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3) )
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f140,plain,
( spl3_18
<=> ! [X3] :
( sk_c7 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f734,plain,
( ~ spl3_3
| ~ spl3_8
| ~ spl3_19
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f733]) ).
fof(f733,plain,
( $false
| ~ spl3_3
| ~ spl3_8
| ~ spl3_19
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f732,f277]) ).
fof(f732,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl3_3
| ~ spl3_8
| ~ spl3_19
| ~ spl3_22 ),
inference(forward_demodulation,[],[f731,f277]) ).
fof(f731,plain,
( sk_c6 != inverse(inverse(sk_c6))
| ~ spl3_8
| ~ spl3_19
| ~ spl3_22 ),
inference(forward_demodulation,[],[f730,f164]) ).
fof(f730,plain,
( sk_c6 != inverse(inverse(sk_c5))
| ~ spl3_8
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f146,f151]) ).
fof(f146,plain,
( sk_c6 != inverse(inverse(sk_c5))
| identity != sk_c6
| ~ spl3_8 ),
inference(superposition,[],[f76,f2]) ).
fof(f76,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c5)
| sk_c6 != inverse(X4) )
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl3_8
<=> ! [X4] :
( sk_c6 != inverse(X4)
| sk_c6 != multiply(X4,sk_c5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f717,plain,
( ~ spl3_3
| ~ spl3_10
| ~ spl3_17
| ~ spl3_19
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f716]) ).
fof(f716,plain,
( $false
| ~ spl3_3
| ~ spl3_10
| ~ spl3_17
| ~ spl3_19
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f705,f277]) ).
fof(f705,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl3_10
| ~ spl3_17
| ~ spl3_19
| ~ spl3_22 ),
inference(trivial_inequality_removal,[],[f704]) ).
fof(f704,plain,
( sk_c6 != inverse(sk_c6)
| sk_c6 != sk_c6
| ~ spl3_10
| ~ spl3_17
| ~ spl3_19
| ~ spl3_22 ),
inference(superposition,[],[f699,f266]) ).
fof(f699,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c6)
| sk_c6 != inverse(X6) )
| ~ spl3_10
| ~ spl3_17
| ~ spl3_19
| ~ spl3_22 ),
inference(forward_demodulation,[],[f698,f164]) ).
fof(f698,plain,
( ! [X6] :
( sk_c5 != multiply(X6,sk_c6)
| sk_c6 != inverse(X6) )
| ~ spl3_10
| ~ spl3_17
| ~ spl3_19
| ~ spl3_22 ),
inference(forward_demodulation,[],[f697,f388]) ).
fof(f697,plain,
( ! [X6] :
( sk_c5 != multiply(X6,sk_c7)
| sk_c6 != inverse(X6) )
| ~ spl3_10
| ~ spl3_17
| ~ spl3_19
| ~ spl3_22 ),
inference(forward_demodulation,[],[f132,f388]) ).
fof(f132,plain,
( ! [X6] :
( sk_c7 != inverse(X6)
| sk_c5 != multiply(X6,sk_c7) )
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f131,plain,
( spl3_17
<=> ! [X6] :
( sk_c5 != multiply(X6,sk_c7)
| sk_c7 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f696,plain,
( ~ spl3_3
| ~ spl3_10
| ~ spl3_16
| ~ spl3_19
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f695]) ).
fof(f695,plain,
( $false
| ~ spl3_3
| ~ spl3_10
| ~ spl3_16
| ~ spl3_19
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f694,f277]) ).
fof(f694,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl3_3
| ~ spl3_10
| ~ spl3_16
| ~ spl3_19
| ~ spl3_22 ),
inference(forward_demodulation,[],[f684,f277]) ).
fof(f684,plain,
( sk_c6 != inverse(inverse(sk_c6))
| ~ spl3_10
| ~ spl3_16
| ~ spl3_19
| ~ spl3_22 ),
inference(trivial_inequality_removal,[],[f680]) ).
fof(f680,plain,
( sk_c6 != inverse(inverse(sk_c6))
| sk_c6 != sk_c6
| ~ spl3_10
| ~ spl3_16
| ~ spl3_19
| ~ spl3_22 ),
inference(superposition,[],[f616,f267]) ).
fof(f616,plain,
( ! [X5] :
( sk_c6 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) )
| ~ spl3_10
| ~ spl3_16
| ~ spl3_19
| ~ spl3_22 ),
inference(forward_demodulation,[],[f124,f388]) ).
fof(f124,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) )
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f123,plain,
( spl3_16
<=> ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f541,plain,
( ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| spl3_19
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f540]) ).
fof(f540,plain,
( $false
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| spl3_19
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f531,f530]) ).
fof(f530,plain,
( sk_c6 != sk_c7
| ~ spl3_3
| ~ spl3_10
| spl3_19
| ~ spl3_22 ),
inference(superposition,[],[f152,f526]) ).
fof(f526,plain,
( identity = sk_c7
| ~ spl3_3
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f519,f282]) ).
fof(f519,plain,
( identity = multiply(sk_c6,sk_c6)
| ~ spl3_3
| ~ spl3_22 ),
inference(superposition,[],[f2,f277]) ).
fof(f531,plain,
( sk_c6 = sk_c7
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_10
| ~ spl3_22 ),
inference(backward_demodulation,[],[f504,f529]) ).
fof(f529,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl3_3
| ~ spl3_10
| ~ spl3_22 ),
inference(backward_demodulation,[],[f1,f526]) ).
fof(f504,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl3_5
| ~ spl3_7
| ~ spl3_22 ),
inference(backward_demodulation,[],[f470,f164]) ).
fof(f539,plain,
( ~ spl3_3
| ~ spl3_6
| ~ spl3_10
| ~ spl3_11
| spl3_19
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f538]) ).
fof(f538,plain,
( $false
| ~ spl3_3
| ~ spl3_6
| ~ spl3_10
| ~ spl3_11
| spl3_19
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f532,f530]) ).
fof(f532,plain,
( sk_c6 = sk_c7
| ~ spl3_3
| ~ spl3_6
| ~ spl3_10
| ~ spl3_11
| ~ spl3_22 ),
inference(superposition,[],[f529,f193]) ).
fof(f193,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl3_6
| ~ spl3_11 ),
inference(forward_demodulation,[],[f190,f91]) ).
fof(f91,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl3_11
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f190,plain,
( sk_c6 = multiply(inverse(sk_c1),sk_c7)
| ~ spl3_6 ),
inference(superposition,[],[f179,f68]) ).
fof(f68,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl3_6
<=> sk_c7 = multiply(sk_c1,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f496,plain,
( spl3_22
| ~ spl3_1
| ~ spl3_2
| ~ spl3_13 ),
inference(avatar_split_clause,[],[f490,f102,f46,f42,f163]) ).
fof(f490,plain,
( sk_c6 = sk_c5
| ~ spl3_1
| ~ spl3_2
| ~ spl3_13 ),
inference(backward_demodulation,[],[f48,f476]) ).
fof(f48,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f449,plain,
( ~ spl3_3
| ~ spl3_4
| spl3_12
| ~ spl3_19
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f448]) ).
fof(f448,plain,
( $false
| ~ spl3_3
| ~ spl3_4
| spl3_12
| ~ spl3_19
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f447,f277]) ).
fof(f447,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl3_4
| spl3_12
| ~ spl3_19
| ~ spl3_22 ),
inference(backward_demodulation,[],[f97,f438]) ).
fof(f438,plain,
( sk_c6 = sk_c2
| ~ spl3_4
| ~ spl3_19
| ~ spl3_22 ),
inference(superposition,[],[f425,f267]) ).
fof(f425,plain,
( ! [X0] : multiply(inverse(sk_c2),X0) = X0
| ~ spl3_4
| ~ spl3_19
| ~ spl3_22 ),
inference(superposition,[],[f179,f417]) ).
fof(f417,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl3_4
| ~ spl3_19
| ~ spl3_22 ),
inference(forward_demodulation,[],[f416,f266]) ).
fof(f416,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c6,X0)) = multiply(sk_c6,X0)
| ~ spl3_4
| ~ spl3_22 ),
inference(superposition,[],[f3,f246]) ).
fof(f246,plain,
( sk_c6 = multiply(sk_c2,sk_c6)
| ~ spl3_4
| ~ spl3_22 ),
inference(backward_demodulation,[],[f58,f164]) ).
fof(f58,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f56,plain,
( spl3_4
<=> sk_c6 = multiply(sk_c2,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f97,plain,
( sk_c6 != inverse(sk_c2)
| spl3_12 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl3_12
<=> sk_c6 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f371,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f370]) ).
fof(f370,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f356,f274]) ).
fof(f274,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12
| ~ spl3_19 ),
inference(backward_demodulation,[],[f226,f271]) ).
fof(f271,plain,
( sk_c6 = sk_c1
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12
| ~ spl3_19 ),
inference(forward_demodulation,[],[f270,f231]) ).
fof(f231,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c6)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12 ),
inference(backward_demodulation,[],[f196,f214]) ).
fof(f214,plain,
( sk_c6 = sk_c7
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12 ),
inference(backward_demodulation,[],[f187,f198]) ).
fof(f198,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c5)
| ~ spl3_4
| ~ spl3_12 ),
inference(superposition,[],[f179,f195]) ).
fof(f195,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl3_4
| ~ spl3_12 ),
inference(forward_demodulation,[],[f191,f98]) ).
fof(f98,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f191,plain,
( sk_c5 = multiply(inverse(sk_c2),sk_c6)
| ~ spl3_4 ),
inference(superposition,[],[f179,f58]) ).
fof(f187,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c5)
| ~ spl3_2 ),
inference(superposition,[],[f179,f48]) ).
fof(f196,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl3_6
| ~ spl3_11 ),
inference(superposition,[],[f179,f193]) ).
fof(f270,plain,
( sk_c1 = multiply(inverse(sk_c6),sk_c6)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_11
| ~ spl3_12
| ~ spl3_19 ),
inference(backward_demodulation,[],[f229,f151]) ).
fof(f229,plain,
( sk_c1 = multiply(inverse(sk_c6),identity)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_11
| ~ spl3_12 ),
inference(backward_demodulation,[],[f189,f214]) ).
fof(f189,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl3_11 ),
inference(superposition,[],[f179,f143]) ).
fof(f143,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl3_11 ),
inference(superposition,[],[f2,f91]) ).
fof(f226,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_11
| ~ spl3_12 ),
inference(backward_demodulation,[],[f91,f214]) ).
fof(f356,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16 ),
inference(trivial_inequality_removal,[],[f354]) ).
fof(f354,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c6)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16 ),
inference(superposition,[],[f284,f230]) ).
fof(f230,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12 ),
inference(backward_demodulation,[],[f193,f214]) ).
fof(f284,plain,
( ! [X5] :
( sk_c6 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_12
| ~ spl3_16 ),
inference(forward_demodulation,[],[f124,f214]) ).
fof(f281,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| spl3_10
| ~ spl3_11
| ~ spl3_12
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f280]) ).
fof(f280,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| spl3_10
| ~ spl3_11
| ~ spl3_12
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f279,f214]) ).
fof(f279,plain,
( sk_c6 != sk_c7
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| spl3_10
| ~ spl3_11
| ~ spl3_12
| ~ spl3_22 ),
inference(forward_demodulation,[],[f278,f230]) ).
fof(f278,plain,
( sk_c7 != multiply(sk_c6,sk_c6)
| spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f84,f164]) ).
fof(f84,plain,
( sk_c7 != multiply(sk_c6,sk_c5)
| spl3_10 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f276,plain,
( ~ spl3_2
| spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12
| ~ spl3_19
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f275]) ).
fof(f275,plain,
( $false
| ~ spl3_2
| spl3_3
| ~ spl3_4
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12
| ~ spl3_19
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f274,f245]) ).
fof(f245,plain,
( sk_c6 != inverse(sk_c6)
| spl3_3
| ~ spl3_22 ),
inference(backward_demodulation,[],[f52,f164]) ).
fof(f52,plain,
( sk_c5 != inverse(sk_c6)
| spl3_3 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f265,plain,
( spl3_19
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12 ),
inference(avatar_split_clause,[],[f259,f96,f89,f66,f56,f46,f150]) ).
fof(f259,plain,
( identity = sk_c6
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12 ),
inference(superposition,[],[f231,f2]) ).
fof(f243,plain,
( spl3_22
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12 ),
inference(avatar_split_clause,[],[f240,f96,f89,f66,f56,f46,f163]) ).
fof(f240,plain,
( sk_c6 = sk_c5
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12 ),
inference(backward_demodulation,[],[f195,f230]) ).
fof(f168,plain,
( ~ spl3_4
| ~ spl3_8
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f167]) ).
fof(f167,plain,
( $false
| ~ spl3_4
| ~ spl3_8
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f148,f98]) ).
fof(f148,plain,
( sk_c6 != inverse(sk_c2)
| ~ spl3_4
| ~ spl3_8 ),
inference(trivial_inequality_removal,[],[f147]) ).
fof(f147,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c2)
| ~ spl3_4
| ~ spl3_8 ),
inference(superposition,[],[f76,f58]) ).
fof(f142,plain,
( spl3_18
| spl3_14 ),
inference(avatar_split_clause,[],[f35,f115,f140]) ).
fof(f115,plain,
( spl3_14
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f35,plain,
! [X3] :
( sP0
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3) ),
inference(cnf_transformation,[],[f35_D]) ).
fof(f35_D,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f138,plain,
( spl3_12
| spl3_3 ),
inference(avatar_split_clause,[],[f23,f51,f96]) ).
fof(f23,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f137,plain,
( spl3_10
| spl3_2 ),
inference(avatar_split_clause,[],[f4,f46,f83]) ).
fof(f4,axiom,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c7 = multiply(sk_c6,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f136,plain,
( spl3_1
| spl3_4 ),
inference(avatar_split_clause,[],[f31,f56,f42]) ).
fof(f31,axiom,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f135,plain,
( spl3_11
| spl3_13 ),
inference(avatar_split_clause,[],[f12,f102,f89]) ).
fof(f12,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f134,plain,
( spl3_5
| spl3_11 ),
inference(avatar_split_clause,[],[f15,f89,f60]) ).
fof(f15,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f133,plain,
( spl3_15
| spl3_17 ),
inference(avatar_split_clause,[],[f37,f131,f119]) ).
fof(f119,plain,
( spl3_15
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f37,plain,
! [X6] :
( sk_c5 != multiply(X6,sk_c7)
| sP1
| sk_c7 != inverse(X6) ),
inference(cnf_transformation,[],[f37_D]) ).
fof(f37_D,plain,
( ! [X6] :
( sk_c5 != multiply(X6,sk_c7)
| sk_c7 != inverse(X6) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f129,plain,
( spl3_7
| spl3_4 ),
inference(avatar_split_clause,[],[f32,f56,f70]) ).
fof(f32,axiom,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c5 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f128,plain,
( spl3_4
| spl3_13 ),
inference(avatar_split_clause,[],[f30,f102,f56]) ).
fof(f30,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f127,plain,
( spl3_4
| spl3_3 ),
inference(avatar_split_clause,[],[f29,f51,f56]) ).
fof(f29,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f126,plain,
( spl3_3
| spl3_6 ),
inference(avatar_split_clause,[],[f17,f66,f51]) ).
fof(f17,axiom,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c5 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f125,plain,
( ~ spl3_14
| ~ spl3_2
| ~ spl3_10
| ~ spl3_15
| ~ spl3_9
| ~ spl3_3
| spl3_16 ),
inference(avatar_split_clause,[],[f40,f123,f51,f78,f119,f83,f46,f115]) ).
fof(f78,plain,
( spl3_9
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f40,plain,
! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c5 != inverse(sk_c6)
| ~ sP2
| sk_c6 != inverse(X5)
| ~ sP1
| sk_c7 != multiply(sk_c6,sk_c5)
| multiply(sk_c6,sk_c7) != sk_c5
| ~ sP0 ),
inference(general_splitting,[],[f38,f39_D]) ).
fof(f39,plain,
! [X4] :
( sP2
| sk_c6 != inverse(X4)
| sk_c6 != multiply(X4,sk_c5) ),
inference(cnf_transformation,[],[f39_D]) ).
fof(f39_D,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c6 != multiply(X4,sk_c5) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f38,plain,
! [X4,X5] :
( sk_c6 != inverse(X5)
| sk_c7 != multiply(sk_c6,sk_c5)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X5,sk_c6)
| sk_c5 != inverse(sk_c6)
| sk_c6 != multiply(X4,sk_c5)
| multiply(sk_c6,sk_c7) != sk_c5
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f36,f37_D]) ).
fof(f36,plain,
! [X6,X4,X5] :
( sk_c6 != inverse(X5)
| sk_c7 != multiply(sk_c6,sk_c5)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X5,sk_c6)
| sk_c5 != inverse(sk_c6)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != multiply(X6,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5
| sk_c7 != inverse(X6)
| ~ sP0 ),
inference(general_splitting,[],[f34,f35_D]) ).
fof(f34,axiom,
! [X3,X6,X4,X5] :
( sk_c6 != inverse(X5)
| sk_c7 != multiply(sk_c6,sk_c5)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X5,sk_c6)
| sk_c5 != inverse(sk_c6)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != multiply(X6,sk_c7)
| sk_c7 != multiply(X3,sk_c6)
| multiply(sk_c6,sk_c7) != sk_c5
| sk_c7 != inverse(X6)
| sk_c7 != inverse(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f113,plain,
( spl3_7
| spl3_11 ),
inference(avatar_split_clause,[],[f14,f89,f70]) ).
fof(f14,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c5 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f111,plain,
( spl3_6
| spl3_1 ),
inference(avatar_split_clause,[],[f19,f42,f66]) ).
fof(f19,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f109,plain,
( spl3_3
| spl3_11 ),
inference(avatar_split_clause,[],[f11,f89,f51]) ).
fof(f11,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c5 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f108,plain,
( spl3_13
| spl3_6 ),
inference(avatar_split_clause,[],[f18,f66,f102]) ).
fof(f18,axiom,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f107,plain,
( spl3_12
| spl3_1 ),
inference(avatar_split_clause,[],[f25,f42,f96]) ).
fof(f25,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f106,plain,
( spl3_2
| spl3_13 ),
inference(avatar_split_clause,[],[f6,f102,f46]) ).
fof(f6,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f105,plain,
( spl3_13
| spl3_12 ),
inference(avatar_split_clause,[],[f24,f96,f102]) ).
fof(f24,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f100,plain,
( spl3_6
| spl3_5 ),
inference(avatar_split_clause,[],[f21,f60,f66]) ).
fof(f21,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f99,plain,
( spl3_12
| spl3_10 ),
inference(avatar_split_clause,[],[f22,f83,f96]) ).
fof(f22,axiom,
( sk_c7 = multiply(sk_c6,sk_c5)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f94,plain,
( spl3_11
| spl3_1 ),
inference(avatar_split_clause,[],[f13,f42,f89]) ).
fof(f13,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f93,plain,
( spl3_10
| spl3_6 ),
inference(avatar_split_clause,[],[f16,f66,f83]) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c7 = multiply(sk_c6,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f92,plain,
( spl3_11
| spl3_10 ),
inference(avatar_split_clause,[],[f10,f83,f89]) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c6,sk_c5)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f87,plain,
( spl3_7
| spl3_2 ),
inference(avatar_split_clause,[],[f8,f46,f70]) ).
fof(f8,axiom,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c5 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f86,plain,
( spl3_4
| spl3_10 ),
inference(avatar_split_clause,[],[f28,f83,f56]) ).
fof(f28,axiom,
( sk_c7 = multiply(sk_c6,sk_c5)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f81,plain,
( spl3_8
| spl3_9 ),
inference(avatar_split_clause,[],[f39,f78,f75]) ).
fof(f73,plain,
( spl3_6
| spl3_7 ),
inference(avatar_split_clause,[],[f20,f70,f66]) ).
fof(f20,axiom,
( sk_c5 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f64,plain,
( spl3_5
| spl3_2 ),
inference(avatar_split_clause,[],[f9,f46,f60]) ).
fof(f9,axiom,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f63,plain,
( spl3_4
| spl3_5 ),
inference(avatar_split_clause,[],[f33,f60,f56]) ).
fof(f33,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f54,plain,
( spl3_2
| spl3_3 ),
inference(avatar_split_clause,[],[f5,f51,f46]) ).
fof(f5,axiom,
( sk_c5 = inverse(sk_c6)
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f49,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f7,f46,f42]) ).
fof(f7,axiom,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP347-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n011.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 22:22:40 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (24172)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49 % (24185)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50 % (24177)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 % (24173)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (24190)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.52 % (24182)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (24177)Instruction limit reached!
% 0.20/0.52 % (24177)------------------------------
% 0.20/0.52 % (24177)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (24177)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (24177)Termination reason: Unknown
% 0.20/0.52 % (24177)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (24177)Memory used [KB]: 5500
% 0.20/0.52 % (24177)Time elapsed: 0.116 s
% 0.20/0.52 % (24177)Instructions burned: 3 (million)
% 0.20/0.52 % (24177)------------------------------
% 0.20/0.52 % (24177)------------------------------
% 0.20/0.52 % (24181)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52 % (24171)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52 % (24193)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.53 % (24169)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 % (24187)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 TRYING [2]
% 0.20/0.53 TRYING [3]
% 0.20/0.53 % (24184)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.53 % (24174)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53 % (24183)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53 % (24179)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (24196)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54 % (24170)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (24175)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (24198)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (24197)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 TRYING [2]
% 0.20/0.54 % (24185)First to succeed.
% 0.20/0.54 % (24176)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 TRYING [3]
% 0.20/0.55 % (24186)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55 % (24199)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.55 % (24194)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55 % (24195)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.55 TRYING [1]
% 0.20/0.55 TRYING [2]
% 0.20/0.55 TRYING [3]
% 0.20/0.55 % (24189)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 % (24185)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (24185)------------------------------
% 0.20/0.55 % (24185)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (24185)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (24185)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (24185)Memory used [KB]: 5756
% 0.20/0.55 % (24185)Time elapsed: 0.132 s
% 0.20/0.55 % (24185)Instructions burned: 32 (million)
% 0.20/0.55 % (24185)------------------------------
% 0.20/0.55 % (24185)------------------------------
% 0.20/0.55 % (24167)Success in time 0.194 s
%------------------------------------------------------------------------------