TSTP Solution File: GRP243-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP243-1 : 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 : n008.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 16:21:01 EDT 2022
% Result : Unsatisfiable 1.53s 0.60s
% Output : Refutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 72
% Syntax : Number of formulae : 271 ( 6 unt; 0 def)
% Number of atoms : 835 ( 338 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 1081 ( 517 ~; 526 |; 0 &)
% ( 38 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 40 ( 38 usr; 39 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 93 ( 93 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f833,plain,
$false,
inference(avatar_sat_refutation,[],[f99,f108,f131,f143,f145,f150,f158,f164,f165,f171,f173,f174,f176,f177,f180,f182,f183,f186,f188,f190,f194,f196,f200,f209,f210,f212,f215,f232,f237,f238,f241,f242,f243,f244,f248,f249,f254,f275,f291,f338,f346,f372,f374,f421,f433,f477,f493,f532,f598,f621,f678,f702,f706,f718,f748,f832]) ).
fof(f832,plain,
( ~ spl6_2
| ~ spl6_4
| ~ spl6_20
| ~ spl6_35 ),
inference(avatar_contradiction_clause,[],[f831]) ).
fof(f831,plain,
( $false
| ~ spl6_2
| ~ spl6_4
| ~ spl6_20
| ~ spl6_35 ),
inference(subsumption_resolution,[],[f830,f534]) ).
fof(f534,plain,
( identity = multiply(sk_c1,sk_c12)
| ~ spl6_4
| ~ spl6_35 ),
inference(backward_demodulation,[],[f98,f349]) ).
fof(f349,plain,
( identity = sk_c11
| ~ spl6_35 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f348,plain,
( spl6_35
<=> identity = sk_c11 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_35])]) ).
fof(f98,plain,
( multiply(sk_c1,sk_c12) = sk_c11
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl6_4
<=> multiply(sk_c1,sk_c12) = sk_c11 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f830,plain,
( identity != multiply(sk_c1,sk_c12)
| ~ spl6_2
| ~ spl6_20
| ~ spl6_35 ),
inference(trivial_inequality_removal,[],[f824]) ).
fof(f824,plain,
( identity != multiply(sk_c1,sk_c12)
| sk_c12 != sk_c12
| ~ spl6_2
| ~ spl6_20
| ~ spl6_35 ),
inference(superposition,[],[f798,f89]) ).
fof(f89,plain,
( sk_c12 = inverse(sk_c1)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f87,plain,
( spl6_2
<=> sk_c12 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f798,plain,
( ! [X3] :
( sk_c12 != inverse(X3)
| identity != multiply(X3,sk_c12) )
| ~ spl6_20
| ~ spl6_35 ),
inference(forward_demodulation,[],[f208,f349]) ).
fof(f208,plain,
( ! [X3] :
( sk_c11 != multiply(X3,sk_c12)
| sk_c12 != inverse(X3) )
| ~ spl6_20 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f207,plain,
( spl6_20
<=> ! [X3] :
( sk_c12 != inverse(X3)
| sk_c11 != multiply(X3,sk_c12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_20])]) ).
fof(f748,plain,
( spl6_44
| ~ spl6_8
| ~ spl6_12
| ~ spl6_35 ),
inference(avatar_split_clause,[],[f747,f348,f133,f114,f418]) ).
fof(f418,plain,
( spl6_44
<=> identity = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_44])]) ).
fof(f114,plain,
( spl6_8
<=> sk_c11 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f133,plain,
( spl6_12
<=> sk_c10 = multiply(sk_c2,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_12])]) ).
fof(f747,plain,
( identity = sk_c10
| ~ spl6_8
| ~ spl6_12
| ~ spl6_35 ),
inference(forward_demodulation,[],[f746,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f746,plain,
( sk_c10 = multiply(identity,identity)
| ~ spl6_8
| ~ spl6_12
| ~ spl6_35 ),
inference(forward_demodulation,[],[f625,f728]) ).
fof(f728,plain,
( identity = sk_c2
| ~ spl6_8
| ~ spl6_35 ),
inference(forward_demodulation,[],[f727,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f727,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl6_8
| ~ spl6_35 ),
inference(forward_demodulation,[],[f460,f349]) ).
fof(f460,plain,
( sk_c2 = multiply(inverse(sk_c11),identity)
| ~ spl6_8 ),
inference(superposition,[],[f318,f256]) ).
fof(f256,plain,
( identity = multiply(sk_c11,sk_c2)
| ~ spl6_8 ),
inference(superposition,[],[f2,f116]) ).
fof(f116,plain,
( sk_c11 = inverse(sk_c2)
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f318,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f295,f1]) ).
fof(f295,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f625,plain,
( sk_c10 = multiply(sk_c2,identity)
| ~ spl6_12
| ~ spl6_35 ),
inference(forward_demodulation,[],[f135,f349]) ).
fof(f135,plain,
( sk_c10 = multiply(sk_c2,sk_c11)
| ~ spl6_12 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f718,plain,
( ~ spl6_6
| ~ spl6_11
| ~ spl6_18
| ~ spl6_35
| spl6_38
| ~ spl6_44 ),
inference(avatar_contradiction_clause,[],[f717]) ).
fof(f717,plain,
( $false
| ~ spl6_6
| ~ spl6_11
| ~ spl6_18
| ~ spl6_35
| spl6_38
| ~ spl6_44 ),
inference(subsumption_resolution,[],[f716,f349]) ).
fof(f716,plain,
( identity != sk_c11
| ~ spl6_6
| ~ spl6_11
| ~ spl6_18
| ~ spl6_35
| spl6_38
| ~ spl6_44 ),
inference(forward_demodulation,[],[f371,f680]) ).
fof(f680,plain,
( identity = sk_c5
| ~ spl6_6
| ~ spl6_11
| ~ spl6_18
| ~ spl6_35
| ~ spl6_44 ),
inference(forward_demodulation,[],[f679,f631]) ).
fof(f631,plain,
( identity = multiply(sk_c5,identity)
| ~ spl6_18
| ~ spl6_35
| ~ spl6_44 ),
inference(backward_demodulation,[],[f540,f419]) ).
fof(f419,plain,
( identity = sk_c10
| ~ spl6_44 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f540,plain,
( identity = multiply(sk_c5,sk_c10)
| ~ spl6_18
| ~ spl6_35 ),
inference(backward_demodulation,[],[f170,f349]) ).
fof(f170,plain,
( sk_c11 = multiply(sk_c5,sk_c10)
| ~ spl6_18 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f168,plain,
( spl6_18
<=> sk_c11 = multiply(sk_c5,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_18])]) ).
fof(f679,plain,
( sk_c5 = multiply(sk_c5,identity)
| ~ spl6_6
| ~ spl6_11
| ~ spl6_35 ),
inference(backward_demodulation,[],[f564,f107]) ).
fof(f107,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl6_6
<=> sk_c5 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f564,plain,
( sk_c5 = multiply(inverse(sk_c4),identity)
| ~ spl6_11
| ~ spl6_35 ),
inference(backward_demodulation,[],[f467,f349]) ).
fof(f467,plain,
( sk_c5 = multiply(inverse(sk_c4),sk_c11)
| ~ spl6_11 ),
inference(superposition,[],[f318,f130]) ).
fof(f130,plain,
( sk_c11 = multiply(sk_c4,sk_c5)
| ~ spl6_11 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl6_11
<=> sk_c11 = multiply(sk_c4,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).
fof(f371,plain,
( sk_c11 != sk_c5
| spl6_38 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f369,plain,
( spl6_38
<=> sk_c11 = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_38])]) ).
fof(f706,plain,
( ~ spl6_11
| ~ spl6_18
| ~ spl6_35
| spl6_37
| ~ spl6_44 ),
inference(avatar_contradiction_clause,[],[f705]) ).
fof(f705,plain,
( $false
| ~ spl6_11
| ~ spl6_18
| ~ spl6_35
| spl6_37
| ~ spl6_44 ),
inference(subsumption_resolution,[],[f704,f349]) ).
fof(f704,plain,
( identity != sk_c11
| ~ spl6_11
| ~ spl6_18
| ~ spl6_35
| spl6_37
| ~ spl6_44 ),
inference(forward_demodulation,[],[f703,f644]) ).
fof(f644,plain,
( ! [X19] : multiply(sk_c4,X19) = X19
| ~ spl6_11
| ~ spl6_18
| ~ spl6_35
| ~ spl6_44 ),
inference(backward_demodulation,[],[f574,f643]) ).
fof(f643,plain,
( ! [X20] : multiply(sk_c5,X20) = X20
| ~ spl6_18
| ~ spl6_35
| ~ spl6_44 ),
inference(forward_demodulation,[],[f639,f1]) ).
fof(f639,plain,
( ! [X20] : multiply(sk_c5,multiply(identity,X20)) = X20
| ~ spl6_18
| ~ spl6_35
| ~ spl6_44 ),
inference(backward_demodulation,[],[f600,f419]) ).
fof(f600,plain,
( ! [X20] : multiply(sk_c5,multiply(sk_c10,X20)) = X20
| ~ spl6_18
| ~ spl6_35 ),
inference(forward_demodulation,[],[f551,f1]) ).
fof(f551,plain,
( ! [X20] : multiply(sk_c5,multiply(sk_c10,X20)) = multiply(identity,X20)
| ~ spl6_18
| ~ spl6_35 ),
inference(backward_demodulation,[],[f308,f349]) ).
fof(f308,plain,
( ! [X20] : multiply(sk_c5,multiply(sk_c10,X20)) = multiply(sk_c11,X20)
| ~ spl6_18 ),
inference(superposition,[],[f3,f170]) ).
fof(f574,plain,
( ! [X19] : multiply(sk_c4,multiply(sk_c5,X19)) = X19
| ~ spl6_11
| ~ spl6_35 ),
inference(forward_demodulation,[],[f550,f1]) ).
fof(f550,plain,
( ! [X19] : multiply(identity,X19) = multiply(sk_c4,multiply(sk_c5,X19))
| ~ spl6_11
| ~ spl6_35 ),
inference(backward_demodulation,[],[f307,f349]) ).
fof(f307,plain,
( ! [X19] : multiply(sk_c11,X19) = multiply(sk_c4,multiply(sk_c5,X19))
| ~ spl6_11 ),
inference(superposition,[],[f3,f130]) ).
fof(f703,plain,
( sk_c11 != multiply(sk_c4,identity)
| spl6_37
| ~ spl6_44 ),
inference(forward_demodulation,[],[f367,f419]) ).
fof(f367,plain,
( sk_c11 != multiply(sk_c4,sk_c10)
| spl6_37 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f365,plain,
( spl6_37
<=> sk_c11 = multiply(sk_c4,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_37])]) ).
fof(f702,plain,
( ~ spl6_1
| spl6_17
| ~ spl6_35
| ~ spl6_44 ),
inference(avatar_contradiction_clause,[],[f701]) ).
fof(f701,plain,
( $false
| ~ spl6_1
| spl6_17
| ~ spl6_35
| ~ spl6_44 ),
inference(subsumption_resolution,[],[f700,f349]) ).
fof(f700,plain,
( identity != sk_c11
| ~ spl6_1
| spl6_17
| ~ spl6_35
| ~ spl6_44 ),
inference(forward_demodulation,[],[f699,f1]) ).
fof(f699,plain,
( sk_c11 != multiply(identity,identity)
| ~ spl6_1
| spl6_17
| ~ spl6_35
| ~ spl6_44 ),
inference(forward_demodulation,[],[f698,f606]) ).
fof(f606,plain,
( identity = sk_c7
| ~ spl6_1
| ~ spl6_35 ),
inference(forward_demodulation,[],[f562,f2]) ).
fof(f562,plain,
( sk_c7 = multiply(inverse(identity),identity)
| ~ spl6_1
| ~ spl6_35 ),
inference(backward_demodulation,[],[f461,f349]) ).
fof(f461,plain,
( sk_c7 = multiply(inverse(sk_c11),identity)
| ~ spl6_1 ),
inference(superposition,[],[f318,f286]) ).
fof(f286,plain,
( identity = multiply(sk_c11,sk_c7)
| ~ spl6_1 ),
inference(superposition,[],[f2,f85]) ).
fof(f85,plain,
( sk_c11 = inverse(sk_c7)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl6_1
<=> sk_c11 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f698,plain,
( sk_c11 != multiply(sk_c7,identity)
| spl6_17
| ~ spl6_44 ),
inference(forward_demodulation,[],[f162,f419]) ).
fof(f162,plain,
( sk_c11 != multiply(sk_c7,sk_c10)
| spl6_17 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f161,plain,
( spl6_17
<=> sk_c11 = multiply(sk_c7,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_17])]) ).
fof(f678,plain,
( ~ spl6_3
| ~ spl6_7
| ~ spl6_20
| ~ spl6_35 ),
inference(avatar_contradiction_clause,[],[f677]) ).
fof(f677,plain,
( $false
| ~ spl6_3
| ~ spl6_7
| ~ spl6_20
| ~ spl6_35 ),
inference(subsumption_resolution,[],[f676,f553]) ).
fof(f553,plain,
( identity = multiply(sk_c12,sk_c12)
| ~ spl6_3
| ~ spl6_7
| ~ spl6_35 ),
inference(backward_demodulation,[],[f392,f349]) ).
fof(f392,plain,
( sk_c11 = multiply(sk_c12,sk_c12)
| ~ spl6_3
| ~ spl6_7 ),
inference(superposition,[],[f312,f112]) ).
fof(f112,plain,
( sk_c12 = multiply(sk_c6,sk_c11)
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl6_7
<=> sk_c12 = multiply(sk_c6,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f312,plain,
( ! [X10] : multiply(sk_c12,multiply(sk_c6,X10)) = X10
| ~ spl6_3 ),
inference(forward_demodulation,[],[f298,f1]) ).
fof(f298,plain,
( ! [X10] : multiply(identity,X10) = multiply(sk_c12,multiply(sk_c6,X10))
| ~ spl6_3 ),
inference(superposition,[],[f3,f288]) ).
fof(f288,plain,
( identity = multiply(sk_c12,sk_c6)
| ~ spl6_3 ),
inference(superposition,[],[f2,f94]) ).
fof(f94,plain,
( sk_c12 = inverse(sk_c6)
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f92,plain,
( spl6_3
<=> sk_c12 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f676,plain,
( identity != multiply(sk_c12,sk_c12)
| ~ spl6_3
| ~ spl6_7
| ~ spl6_20
| ~ spl6_35 ),
inference(trivial_inequality_removal,[],[f674]) ).
fof(f674,plain,
( identity != multiply(sk_c12,sk_c12)
| sk_c12 != sk_c12
| ~ spl6_3
| ~ spl6_7
| ~ spl6_20
| ~ spl6_35 ),
inference(superposition,[],[f624,f589]) ).
fof(f589,plain,
( sk_c12 = inverse(sk_c12)
| ~ spl6_3
| ~ spl6_7
| ~ spl6_35 ),
inference(backward_demodulation,[],[f94,f588]) ).
fof(f588,plain,
( sk_c12 = sk_c6
| ~ spl6_3
| ~ spl6_7
| ~ spl6_35 ),
inference(backward_demodulation,[],[f459,f561]) ).
fof(f561,plain,
( sk_c12 = multiply(inverse(sk_c12),identity)
| ~ spl6_3
| ~ spl6_7
| ~ spl6_35 ),
inference(backward_demodulation,[],[f457,f349]) ).
fof(f457,plain,
( sk_c12 = multiply(inverse(sk_c12),sk_c11)
| ~ spl6_3
| ~ spl6_7 ),
inference(superposition,[],[f318,f392]) ).
fof(f459,plain,
( sk_c6 = multiply(inverse(sk_c12),identity)
| ~ spl6_3 ),
inference(superposition,[],[f318,f288]) ).
fof(f624,plain,
( ! [X3] :
( sk_c12 != inverse(X3)
| identity != multiply(X3,sk_c12) )
| ~ spl6_20
| ~ spl6_35 ),
inference(forward_demodulation,[],[f208,f349]) ).
fof(f621,plain,
( ~ spl6_1
| ~ spl6_35
| spl6_43 ),
inference(avatar_contradiction_clause,[],[f620]) ).
fof(f620,plain,
( $false
| ~ spl6_1
| ~ spl6_35
| spl6_43 ),
inference(subsumption_resolution,[],[f618,f608]) ).
fof(f608,plain,
( identity = inverse(identity)
| ~ spl6_1
| ~ spl6_35 ),
inference(backward_demodulation,[],[f533,f606]) ).
fof(f533,plain,
( identity = inverse(sk_c7)
| ~ spl6_1
| ~ spl6_35 ),
inference(backward_demodulation,[],[f85,f349]) ).
fof(f618,plain,
( identity != inverse(identity)
| ~ spl6_1
| ~ spl6_35
| spl6_43 ),
inference(backward_demodulation,[],[f557,f608]) ).
fof(f557,plain,
( identity != inverse(inverse(identity))
| ~ spl6_35
| spl6_43 ),
inference(backward_demodulation,[],[f416,f349]) ).
fof(f416,plain,
( sk_c11 != inverse(inverse(sk_c11))
| spl6_43 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f414,plain,
( spl6_43
<=> sk_c11 = inverse(inverse(sk_c11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_43])]) ).
fof(f598,plain,
( spl6_44
| ~ spl6_1
| ~ spl6_17
| ~ spl6_35 ),
inference(avatar_split_clause,[],[f597,f348,f161,f83,f418]) ).
fof(f597,plain,
( identity = sk_c10
| ~ spl6_1
| ~ spl6_17
| ~ spl6_35 ),
inference(forward_demodulation,[],[f567,f1]) ).
fof(f567,plain,
( sk_c10 = multiply(identity,identity)
| ~ spl6_1
| ~ spl6_17
| ~ spl6_35 ),
inference(backward_demodulation,[],[f479,f349]) ).
fof(f479,plain,
( sk_c10 = multiply(sk_c11,sk_c11)
| ~ spl6_1
| ~ spl6_17 ),
inference(forward_demodulation,[],[f463,f85]) ).
fof(f463,plain,
( sk_c10 = multiply(inverse(sk_c7),sk_c11)
| ~ spl6_17 ),
inference(superposition,[],[f318,f163]) ).
fof(f163,plain,
( sk_c11 = multiply(sk_c7,sk_c10)
| ~ spl6_17 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f532,plain,
( spl6_35
| ~ spl6_10
| ~ spl6_13 ),
inference(avatar_split_clause,[],[f531,f140,f124,f348]) ).
fof(f124,plain,
( spl6_10
<=> sk_c11 = multiply(sk_c8,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).
fof(f140,plain,
( spl6_13
<=> sk_c9 = inverse(sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).
fof(f531,plain,
( identity = sk_c11
| ~ spl6_10
| ~ spl6_13 ),
inference(forward_demodulation,[],[f520,f2]) ).
fof(f520,plain,
( sk_c11 = multiply(inverse(sk_c9),sk_c9)
| ~ spl6_10
| ~ spl6_13 ),
inference(superposition,[],[f318,f478]) ).
fof(f478,plain,
( sk_c9 = multiply(sk_c9,sk_c11)
| ~ spl6_10
| ~ spl6_13 ),
inference(forward_demodulation,[],[f464,f142]) ).
fof(f142,plain,
( sk_c9 = inverse(sk_c8)
| ~ spl6_13 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f464,plain,
( sk_c9 = multiply(inverse(sk_c8),sk_c11)
| ~ spl6_10 ),
inference(superposition,[],[f318,f126]) ).
fof(f126,plain,
( sk_c11 = multiply(sk_c8,sk_c9)
| ~ spl6_10 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f493,plain,
( spl6_35
| ~ spl6_6
| ~ spl6_11 ),
inference(avatar_split_clause,[],[f492,f128,f105,f348]) ).
fof(f492,plain,
( identity = sk_c11
| ~ spl6_6
| ~ spl6_11 ),
inference(forward_demodulation,[],[f469,f2]) ).
fof(f469,plain,
( sk_c11 = multiply(inverse(sk_c5),sk_c5)
| ~ spl6_6
| ~ spl6_11 ),
inference(superposition,[],[f318,f388]) ).
fof(f388,plain,
( sk_c5 = multiply(sk_c5,sk_c11)
| ~ spl6_6
| ~ spl6_11 ),
inference(superposition,[],[f311,f130]) ).
fof(f311,plain,
( ! [X21] : multiply(sk_c5,multiply(sk_c4,X21)) = X21
| ~ spl6_6 ),
inference(forward_demodulation,[],[f309,f1]) ).
fof(f309,plain,
( ! [X21] : multiply(identity,X21) = multiply(sk_c5,multiply(sk_c4,X21))
| ~ spl6_6 ),
inference(superposition,[],[f3,f258]) ).
fof(f258,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl6_6 ),
inference(superposition,[],[f2,f107]) ).
fof(f477,plain,
( spl6_35
| ~ spl6_2
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f476,f96,f87,f348]) ).
fof(f476,plain,
( identity = sk_c11
| ~ spl6_2
| ~ spl6_4 ),
inference(forward_demodulation,[],[f458,f2]) ).
fof(f458,plain,
( sk_c11 = multiply(inverse(sk_c12),sk_c12)
| ~ spl6_2
| ~ spl6_4 ),
inference(superposition,[],[f318,f384]) ).
fof(f384,plain,
( sk_c12 = multiply(sk_c12,sk_c11)
| ~ spl6_2
| ~ spl6_4 ),
inference(superposition,[],[f310,f98]) ).
fof(f310,plain,
( ! [X9] : multiply(sk_c12,multiply(sk_c1,X9)) = X9
| ~ spl6_2 ),
inference(forward_demodulation,[],[f297,f1]) ).
fof(f297,plain,
( ! [X9] : multiply(sk_c12,multiply(sk_c1,X9)) = multiply(identity,X9)
| ~ spl6_2 ),
inference(superposition,[],[f3,f255]) ).
fof(f255,plain,
( identity = multiply(sk_c12,sk_c1)
| ~ spl6_2 ),
inference(superposition,[],[f2,f89]) ).
fof(f433,plain,
( ~ spl6_8
| ~ spl6_12
| ~ spl6_27 ),
inference(avatar_contradiction_clause,[],[f432]) ).
fof(f432,plain,
( $false
| ~ spl6_8
| ~ spl6_12
| ~ spl6_27 ),
inference(subsumption_resolution,[],[f403,f116]) ).
fof(f403,plain,
( sk_c11 != inverse(sk_c2)
| ~ spl6_12
| ~ spl6_27 ),
inference(trivial_inequality_removal,[],[f401]) ).
fof(f401,plain,
( sk_c11 != inverse(sk_c2)
| sk_c10 != sk_c10
| ~ spl6_12
| ~ spl6_27 ),
inference(superposition,[],[f253,f135]) ).
fof(f253,plain,
( ! [X4] :
( sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4) )
| ~ spl6_27 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f252,plain,
( spl6_27
<=> ! [X4] :
( sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_27])]) ).
fof(f421,plain,
( ~ spl6_43
| ~ spl6_44
| ~ spl6_27 ),
inference(avatar_split_clause,[],[f398,f252,f418,f414]) ).
fof(f398,plain,
( identity != sk_c10
| sk_c11 != inverse(inverse(sk_c11))
| ~ spl6_27 ),
inference(superposition,[],[f253,f2]) ).
fof(f374,plain,
( ~ spl6_1
| ~ spl6_17
| ~ spl6_26 ),
inference(avatar_contradiction_clause,[],[f373]) ).
fof(f373,plain,
( $false
| ~ spl6_1
| ~ spl6_17
| ~ spl6_26 ),
inference(subsumption_resolution,[],[f363,f163]) ).
fof(f363,plain,
( sk_c11 != multiply(sk_c7,sk_c10)
| ~ spl6_1
| ~ spl6_26 ),
inference(trivial_inequality_removal,[],[f358]) ).
fof(f358,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c7,sk_c10)
| ~ spl6_1
| ~ spl6_26 ),
inference(superposition,[],[f247,f85]) ).
fof(f247,plain,
( ! [X9] :
( sk_c11 != inverse(X9)
| sk_c11 != multiply(X9,sk_c10) )
| ~ spl6_26 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f246,plain,
( spl6_26
<=> ! [X9] :
( sk_c11 != multiply(X9,sk_c10)
| sk_c11 != inverse(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_26])]) ).
fof(f372,plain,
( ~ spl6_37
| ~ spl6_38
| ~ spl6_6
| ~ spl6_26 ),
inference(avatar_split_clause,[],[f361,f246,f105,f369,f365]) ).
fof(f361,plain,
( sk_c11 != sk_c5
| sk_c11 != multiply(sk_c4,sk_c10)
| ~ spl6_6
| ~ spl6_26 ),
inference(superposition,[],[f247,f107]) ).
fof(f346,plain,
( ~ spl6_5
| ~ spl6_10
| ~ spl6_13
| ~ spl6_25 ),
inference(avatar_contradiction_clause,[],[f345]) ).
fof(f345,plain,
( $false
| ~ spl6_5
| ~ spl6_10
| ~ spl6_13
| ~ spl6_25 ),
inference(subsumption_resolution,[],[f344,f103]) ).
fof(f103,plain,
( sk_c11 = multiply(sk_c9,sk_c10)
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl6_5
<=> sk_c11 = multiply(sk_c9,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f344,plain,
( sk_c11 != multiply(sk_c9,sk_c10)
| ~ spl6_10
| ~ spl6_13
| ~ spl6_25 ),
inference(subsumption_resolution,[],[f322,f126]) ).
fof(f322,plain,
( sk_c11 != multiply(sk_c8,sk_c9)
| sk_c11 != multiply(sk_c9,sk_c10)
| ~ spl6_13
| ~ spl6_25 ),
inference(superposition,[],[f236,f142]) ).
fof(f236,plain,
( ! [X10] :
( sk_c11 != multiply(inverse(X10),sk_c10)
| sk_c11 != multiply(X10,inverse(X10)) )
| ~ spl6_25 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f235,plain,
( spl6_25
<=> ! [X10] :
( sk_c11 != multiply(X10,inverse(X10))
| sk_c11 != multiply(inverse(X10),sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_25])]) ).
fof(f338,plain,
( ~ spl6_6
| ~ spl6_11
| ~ spl6_18
| ~ spl6_25 ),
inference(avatar_contradiction_clause,[],[f337]) ).
fof(f337,plain,
( $false
| ~ spl6_6
| ~ spl6_11
| ~ spl6_18
| ~ spl6_25 ),
inference(subsumption_resolution,[],[f336,f170]) ).
fof(f336,plain,
( sk_c11 != multiply(sk_c5,sk_c10)
| ~ spl6_6
| ~ spl6_11
| ~ spl6_25 ),
inference(subsumption_resolution,[],[f324,f130]) ).
fof(f324,plain,
( sk_c11 != multiply(sk_c4,sk_c5)
| sk_c11 != multiply(sk_c5,sk_c10)
| ~ spl6_6
| ~ spl6_25 ),
inference(superposition,[],[f236,f107]) ).
fof(f291,plain,
( ~ spl6_3
| ~ spl6_7
| ~ spl6_16 ),
inference(avatar_contradiction_clause,[],[f290]) ).
fof(f290,plain,
( $false
| ~ spl6_3
| ~ spl6_7
| ~ spl6_16 ),
inference(subsumption_resolution,[],[f289,f112]) ).
fof(f289,plain,
( sk_c12 != multiply(sk_c6,sk_c11)
| ~ spl6_3
| ~ spl6_16 ),
inference(trivial_inequality_removal,[],[f287]) ).
fof(f287,plain,
( sk_c12 != sk_c12
| sk_c12 != multiply(sk_c6,sk_c11)
| ~ spl6_3
| ~ spl6_16 ),
inference(superposition,[],[f157,f94]) ).
fof(f157,plain,
( ! [X8] :
( sk_c12 != inverse(X8)
| sk_c12 != multiply(X8,sk_c11) )
| ~ spl6_16 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f156,plain,
( spl6_16
<=> ! [X8] :
( sk_c12 != multiply(X8,sk_c11)
| sk_c12 != inverse(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_16])]) ).
fof(f275,plain,
( ~ spl6_9
| ~ spl6_14
| ~ spl6_16 ),
inference(avatar_contradiction_clause,[],[f274]) ).
fof(f274,plain,
( $false
| ~ spl6_9
| ~ spl6_14
| ~ spl6_16 ),
inference(subsumption_resolution,[],[f264,f149]) ).
fof(f149,plain,
( sk_c12 = multiply(sk_c3,sk_c11)
| ~ spl6_14 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl6_14
<=> sk_c12 = multiply(sk_c3,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_14])]) ).
fof(f264,plain,
( sk_c12 != multiply(sk_c3,sk_c11)
| ~ spl6_9
| ~ spl6_16 ),
inference(trivial_inequality_removal,[],[f261]) ).
fof(f261,plain,
( sk_c12 != multiply(sk_c3,sk_c11)
| sk_c12 != sk_c12
| ~ spl6_9
| ~ spl6_16 ),
inference(superposition,[],[f157,f121]) ).
fof(f121,plain,
( sk_c12 = inverse(sk_c3)
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f119,plain,
( spl6_9
<=> sk_c12 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).
fof(f254,plain,
( spl6_22
| spl6_27 ),
inference(avatar_split_clause,[],[f80,f252,f221]) ).
fof(f221,plain,
( spl6_22
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_22])]) ).
fof(f80,plain,
! [X4] :
( sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4)
| sP5 ),
inference(cnf_transformation,[],[f80_D]) ).
fof(f80_D,plain,
( ! [X4] :
( sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4) )
<=> ~ sP5 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).
fof(f249,plain,
( spl6_9
| spl6_3 ),
inference(avatar_split_clause,[],[f32,f92,f119]) ).
fof(f32,axiom,
( sk_c12 = inverse(sk_c6)
| sk_c12 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f248,plain,
( spl6_23
| spl6_26 ),
inference(avatar_split_clause,[],[f78,f246,f225]) ).
fof(f225,plain,
( spl6_23
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_23])]) ).
fof(f78,plain,
! [X9] :
( sk_c11 != multiply(X9,sk_c10)
| sk_c11 != inverse(X9)
| sP4 ),
inference(cnf_transformation,[],[f78_D]) ).
fof(f78_D,plain,
( ! [X9] :
( sk_c11 != multiply(X9,sk_c10)
| sk_c11 != inverse(X9) )
<=> ~ sP4 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f244,plain,
( spl6_13
| spl6_12 ),
inference(avatar_split_clause,[],[f23,f133,f140]) ).
fof(f23,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| sk_c9 = inverse(sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f243,plain,
( spl6_5
| spl6_18 ),
inference(avatar_split_clause,[],[f66,f168,f101]) ).
fof(f66,axiom,
( sk_c11 = multiply(sk_c5,sk_c10)
| sk_c11 = multiply(sk_c9,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_63) ).
fof(f242,plain,
( spl6_6
| spl6_10 ),
inference(avatar_split_clause,[],[f57,f124,f105]) ).
fof(f57,axiom,
( sk_c11 = multiply(sk_c8,sk_c9)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_54) ).
fof(f241,plain,
( spl6_1
| spl6_12 ),
inference(avatar_split_clause,[],[f20,f133,f83]) ).
fof(f20,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| sk_c11 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f238,plain,
( spl6_21
| spl6_25 ),
inference(avatar_split_clause,[],[f76,f235,f217]) ).
fof(f217,plain,
( spl6_21
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_21])]) ).
fof(f76,plain,
! [X6] :
( sk_c11 != multiply(X6,inverse(X6))
| sP3
| sk_c11 != multiply(inverse(X6),sk_c10) ),
inference(cnf_transformation,[],[f76_D]) ).
fof(f76_D,plain,
( ! [X6] :
( sk_c11 != multiply(X6,inverse(X6))
| sk_c11 != multiply(inverse(X6),sk_c10) )
<=> ~ sP3 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f237,plain,
( spl6_24
| spl6_25 ),
inference(avatar_split_clause,[],[f72,f235,f229]) ).
fof(f229,plain,
( spl6_24
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_24])]) ).
fof(f72,plain,
! [X10] :
( sk_c11 != multiply(X10,inverse(X10))
| sP1
| sk_c11 != multiply(inverse(X10),sk_c10) ),
inference(cnf_transformation,[],[f72_D]) ).
fof(f72_D,plain,
( ! [X10] :
( sk_c11 != multiply(X10,inverse(X10))
| sk_c11 != multiply(inverse(X10),sk_c10) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f232,plain,
( ~ spl6_19
| ~ spl6_21
| ~ spl6_22
| ~ spl6_23
| ~ spl6_15
| spl6_16
| ~ spl6_24 ),
inference(avatar_split_clause,[],[f81,f229,f156,f152,f225,f221,f217,f203]) ).
fof(f203,plain,
( spl6_19
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_19])]) ).
fof(f152,plain,
( spl6_15
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_15])]) ).
fof(f81,plain,
! [X5] :
( ~ sP1
| sk_c12 != multiply(X5,sk_c11)
| sk_c12 != inverse(X5)
| ~ sP2
| ~ sP4
| ~ sP5
| ~ sP3
| ~ sP0 ),
inference(general_splitting,[],[f79,f80_D]) ).
fof(f79,plain,
! [X4,X5] :
( sk_c12 != multiply(X5,sk_c11)
| sk_c10 != multiply(X4,sk_c11)
| sk_c12 != inverse(X5)
| sk_c11 != inverse(X4)
| ~ sP0
| ~ sP1
| ~ sP2
| ~ sP3
| ~ sP4 ),
inference(general_splitting,[],[f77,f78_D]) ).
fof(f77,plain,
! [X9,X4,X5] :
( sk_c11 != inverse(X9)
| sk_c12 != multiply(X5,sk_c11)
| sk_c10 != multiply(X4,sk_c11)
| sk_c12 != inverse(X5)
| sk_c11 != multiply(X9,sk_c10)
| sk_c11 != inverse(X4)
| ~ sP0
| ~ sP1
| ~ sP2
| ~ sP3 ),
inference(general_splitting,[],[f75,f76_D]) ).
fof(f75,plain,
! [X6,X9,X4,X5] :
( sk_c11 != inverse(X9)
| sk_c12 != multiply(X5,sk_c11)
| sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c10 != multiply(X4,sk_c11)
| sk_c12 != inverse(X5)
| sk_c11 != multiply(X9,sk_c10)
| sk_c11 != inverse(X4)
| sk_c11 != multiply(X6,inverse(X6))
| ~ sP0
| ~ sP1
| ~ sP2 ),
inference(general_splitting,[],[f73,f74_D]) ).
fof(f74,plain,
! [X8] :
( sk_c12 != multiply(X8,sk_c11)
| sk_c12 != inverse(X8)
| sP2 ),
inference(cnf_transformation,[],[f74_D]) ).
fof(f74_D,plain,
( ! [X8] :
( sk_c12 != multiply(X8,sk_c11)
| sk_c12 != inverse(X8) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f73,plain,
! [X8,X6,X9,X4,X5] :
( sk_c11 != inverse(X9)
| sk_c12 != multiply(X5,sk_c11)
| sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c10 != multiply(X4,sk_c11)
| sk_c12 != multiply(X8,sk_c11)
| sk_c12 != inverse(X5)
| sk_c12 != inverse(X8)
| sk_c11 != multiply(X9,sk_c10)
| sk_c11 != inverse(X4)
| sk_c11 != multiply(X6,inverse(X6))
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f71,f72_D]) ).
fof(f71,plain,
! [X10,X8,X6,X9,X4,X5] :
( sk_c11 != inverse(X9)
| sk_c12 != multiply(X5,sk_c11)
| sk_c11 != multiply(X10,inverse(X10))
| sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(inverse(X10),sk_c10)
| sk_c10 != multiply(X4,sk_c11)
| sk_c12 != multiply(X8,sk_c11)
| sk_c12 != inverse(X5)
| sk_c12 != inverse(X8)
| sk_c11 != multiply(X9,sk_c10)
| sk_c11 != inverse(X4)
| sk_c11 != multiply(X6,inverse(X6))
| ~ sP0 ),
inference(general_splitting,[],[f69,f70_D]) ).
fof(f70,plain,
! [X3] :
( sk_c12 != inverse(X3)
| sk_c11 != multiply(X3,sk_c12)
| sP0 ),
inference(cnf_transformation,[],[f70_D]) ).
fof(f70_D,plain,
( ! [X3] :
( sk_c12 != inverse(X3)
| sk_c11 != multiply(X3,sk_c12) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f69,plain,
! [X3,X10,X8,X6,X9,X4,X5] :
( sk_c11 != inverse(X9)
| sk_c12 != multiply(X5,sk_c11)
| sk_c11 != multiply(X3,sk_c12)
| sk_c12 != inverse(X3)
| sk_c11 != multiply(X10,inverse(X10))
| sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(inverse(X10),sk_c10)
| sk_c10 != multiply(X4,sk_c11)
| sk_c12 != multiply(X8,sk_c11)
| sk_c12 != inverse(X5)
| sk_c12 != inverse(X8)
| sk_c11 != multiply(X9,sk_c10)
| sk_c11 != inverse(X4)
| sk_c11 != multiply(X6,inverse(X6)) ),
inference(equality_resolution,[],[f68]) ).
fof(f68,plain,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c11 != inverse(X9)
| sk_c12 != multiply(X5,sk_c11)
| sk_c11 != multiply(X3,sk_c12)
| sk_c12 != inverse(X3)
| sk_c11 != multiply(X10,inverse(X10))
| inverse(X6) != X7
| sk_c11 != multiply(X7,sk_c10)
| sk_c11 != multiply(inverse(X10),sk_c10)
| sk_c10 != multiply(X4,sk_c11)
| sk_c12 != multiply(X8,sk_c11)
| sk_c12 != inverse(X5)
| sk_c12 != inverse(X8)
| sk_c11 != multiply(X9,sk_c10)
| sk_c11 != inverse(X4)
| sk_c11 != multiply(X6,X7) ),
inference(equality_resolution,[],[f67]) ).
fof(f67,axiom,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( sk_c11 != inverse(X9)
| sk_c12 != multiply(X5,sk_c11)
| inverse(X10) != X11
| sk_c11 != multiply(X3,sk_c12)
| sk_c12 != inverse(X3)
| sk_c11 != multiply(X10,X11)
| inverse(X6) != X7
| sk_c11 != multiply(X7,sk_c10)
| sk_c11 != multiply(X11,sk_c10)
| sk_c10 != multiply(X4,sk_c11)
| sk_c12 != multiply(X8,sk_c11)
| sk_c12 != inverse(X5)
| sk_c12 != inverse(X8)
| sk_c11 != multiply(X9,sk_c10)
| sk_c11 != inverse(X4)
| sk_c11 != multiply(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_64) ).
fof(f215,plain,
( spl6_17
| spl6_12 ),
inference(avatar_split_clause,[],[f21,f133,f161]) ).
fof(f21,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| sk_c11 = multiply(sk_c7,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f212,plain,
( spl6_13
| spl6_2 ),
inference(avatar_split_clause,[],[f16,f87,f140]) ).
fof(f16,axiom,
( sk_c12 = inverse(sk_c1)
| sk_c9 = inverse(sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f210,plain,
( spl6_7
| spl6_4 ),
inference(avatar_split_clause,[],[f5,f96,f110]) ).
fof(f5,axiom,
( multiply(sk_c1,sk_c12) = sk_c11
| sk_c12 = multiply(sk_c6,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f209,plain,
( spl6_19
| spl6_20 ),
inference(avatar_split_clause,[],[f70,f207,f203]) ).
fof(f200,plain,
( spl6_8
| spl6_1 ),
inference(avatar_split_clause,[],[f27,f83,f114]) ).
fof(f27,axiom,
( sk_c11 = inverse(sk_c7)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f196,plain,
( spl6_1
| spl6_18 ),
inference(avatar_split_clause,[],[f62,f168,f83]) ).
fof(f62,axiom,
( sk_c11 = multiply(sk_c5,sk_c10)
| sk_c11 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_59) ).
fof(f194,plain,
( spl6_13
| spl6_4 ),
inference(avatar_split_clause,[],[f9,f96,f140]) ).
fof(f9,axiom,
( multiply(sk_c1,sk_c12) = sk_c11
| sk_c9 = inverse(sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f190,plain,
( spl6_18
| spl6_10 ),
inference(avatar_split_clause,[],[f64,f124,f168]) ).
fof(f64,axiom,
( sk_c11 = multiply(sk_c8,sk_c9)
| sk_c11 = multiply(sk_c5,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_61) ).
fof(f188,plain,
( spl6_8
| spl6_13 ),
inference(avatar_split_clause,[],[f30,f140,f114]) ).
fof(f30,axiom,
( sk_c9 = inverse(sk_c8)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f186,plain,
( spl6_11
| spl6_13 ),
inference(avatar_split_clause,[],[f51,f140,f128]) ).
fof(f51,axiom,
( sk_c9 = inverse(sk_c8)
| sk_c11 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
fof(f183,plain,
( spl6_6
| spl6_1 ),
inference(avatar_split_clause,[],[f55,f83,f105]) ).
fof(f55,axiom,
( sk_c11 = inverse(sk_c7)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_52) ).
fof(f182,plain,
( spl6_2
| spl6_7 ),
inference(avatar_split_clause,[],[f12,f110,f87]) ).
fof(f12,axiom,
( sk_c12 = multiply(sk_c6,sk_c11)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f180,plain,
( spl6_3
| spl6_2 ),
inference(avatar_split_clause,[],[f11,f87,f92]) ).
fof(f11,axiom,
( sk_c12 = inverse(sk_c1)
| sk_c12 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f177,plain,
( spl6_14
| spl6_7 ),
inference(avatar_split_clause,[],[f40,f110,f147]) ).
fof(f40,axiom,
( sk_c12 = multiply(sk_c6,sk_c11)
| sk_c12 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f176,plain,
( spl6_9
| spl6_13 ),
inference(avatar_split_clause,[],[f37,f140,f119]) ).
fof(f37,axiom,
( sk_c9 = inverse(sk_c8)
| sk_c12 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f174,plain,
( spl6_1
| spl6_11 ),
inference(avatar_split_clause,[],[f48,f128,f83]) ).
fof(f48,axiom,
( sk_c11 = multiply(sk_c4,sk_c5)
| sk_c11 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
fof(f173,plain,
( spl6_5
| spl6_11 ),
inference(avatar_split_clause,[],[f52,f128,f101]) ).
fof(f52,axiom,
( sk_c11 = multiply(sk_c4,sk_c5)
| sk_c11 = multiply(sk_c9,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f171,plain,
( spl6_13
| spl6_18 ),
inference(avatar_split_clause,[],[f65,f168,f140]) ).
fof(f65,axiom,
( sk_c11 = multiply(sk_c5,sk_c10)
| sk_c9 = inverse(sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_62) ).
fof(f165,plain,
( spl6_14
| spl6_13 ),
inference(avatar_split_clause,[],[f44,f140,f147]) ).
fof(f44,axiom,
( sk_c9 = inverse(sk_c8)
| sk_c12 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f164,plain,
( spl6_8
| spl6_17 ),
inference(avatar_split_clause,[],[f28,f161,f114]) ).
fof(f28,axiom,
( sk_c11 = multiply(sk_c7,sk_c10)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f158,plain,
( spl6_15
| spl6_16 ),
inference(avatar_split_clause,[],[f74,f156,f152]) ).
fof(f150,plain,
( spl6_3
| spl6_14 ),
inference(avatar_split_clause,[],[f39,f147,f92]) ).
fof(f39,axiom,
( sk_c12 = multiply(sk_c3,sk_c11)
| sk_c12 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f145,plain,
( spl6_7
| spl6_9 ),
inference(avatar_split_clause,[],[f33,f119,f110]) ).
fof(f33,axiom,
( sk_c12 = inverse(sk_c3)
| sk_c12 = multiply(sk_c6,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f143,plain,
( spl6_6
| spl6_13 ),
inference(avatar_split_clause,[],[f58,f140,f105]) ).
fof(f58,axiom,
( sk_c9 = inverse(sk_c8)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_55) ).
fof(f131,plain,
( spl6_10
| spl6_11 ),
inference(avatar_split_clause,[],[f50,f128,f124]) ).
fof(f50,axiom,
( sk_c11 = multiply(sk_c4,sk_c5)
| sk_c11 = multiply(sk_c8,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
fof(f108,plain,
( spl6_5
| spl6_6 ),
inference(avatar_split_clause,[],[f59,f105,f101]) ).
fof(f59,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c11 = multiply(sk_c9,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_56) ).
fof(f99,plain,
( spl6_3
| spl6_4 ),
inference(avatar_split_clause,[],[f4,f96,f92]) ).
fof(f4,axiom,
( multiply(sk_c1,sk_c12) = sk_c11
| sk_c12 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP243-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 22:26:10 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.48 % (16403)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.49 % (16403)Instruction limit reached!
% 0.20/0.49 % (16403)------------------------------
% 0.20/0.49 % (16403)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (16411)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)
% 0.20/0.51 % (16403)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (16403)Termination reason: Unknown
% 0.20/0.51 % (16403)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (16403)Memory used [KB]: 5500
% 0.20/0.51 % (16403)Time elapsed: 0.076 s
% 0.20/0.51 % (16403)Instructions burned: 7 (million)
% 0.20/0.51 % (16403)------------------------------
% 0.20/0.51 % (16403)------------------------------
% 0.20/0.51 % (16402)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)
% 0.20/0.51 % (16418)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.52 % (16410)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)
% 0.20/0.52 % (16398)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)
% 0.20/0.53 % (16416)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)
% 0.20/0.53 % (16425)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)
% 0.20/0.53 % (16423)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)
% 0.20/0.53 % (16421)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53 % (16397)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)
% 0.20/0.53 % (16399)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)
% 0.20/0.53 % (16401)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 % (16424)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.42/0.53 % (16419)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)
% 1.42/0.53 % (16400)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.42/0.53 % (16414)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.42/0.53 % (16396)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)
% 1.42/0.54 % (16404)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.42/0.54 TRYING [1]
% 1.42/0.54 % (16404)Instruction limit reached!
% 1.42/0.54 % (16404)------------------------------
% 1.42/0.54 % (16404)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54 % (16404)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54 % (16404)Termination reason: Unknown
% 1.42/0.54 % (16404)Termination phase: Saturation
% 1.42/0.54
% 1.42/0.54 % (16404)Memory used [KB]: 895
% 1.42/0.54 % (16404)Time elapsed: 0.002 s
% 1.42/0.54 % (16404)Instructions burned: 2 (million)
% 1.42/0.54 % (16404)------------------------------
% 1.42/0.54 % (16404)------------------------------
% 1.42/0.54 TRYING [2]
% 1.42/0.54 % (16413)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.42/0.54 % (16415)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)
% 1.42/0.54 % (16417)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.42/0.54 % (16422)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)
% 1.42/0.54 TRYING [3]
% 1.42/0.54 % (16420)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.42/0.54 % (16408)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.42/0.54 % (16405)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.42/0.55 % (16409)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.42/0.55 % (16407)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.42/0.55 % (16406)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.53/0.55 TRYING [1]
% 1.53/0.55 TRYING [2]
% 1.53/0.56 % (16412)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)
% 1.53/0.56 TRYING [1]
% 1.53/0.56 TRYING [2]
% 1.53/0.57 TRYING [3]
% 1.53/0.58 TRYING [3]
% 1.53/0.58 % (16398)Instruction limit reached!
% 1.53/0.58 % (16398)------------------------------
% 1.53/0.58 % (16398)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.58 % (16398)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.58 % (16398)Termination reason: Unknown
% 1.53/0.58 % (16398)Termination phase: Saturation
% 1.53/0.58
% 1.53/0.58 % (16398)Memory used [KB]: 1151
% 1.53/0.58 % (16398)Time elapsed: 0.183 s
% 1.53/0.58 % (16398)Instructions burned: 37 (million)
% 1.53/0.58 % (16398)------------------------------
% 1.53/0.58 % (16398)------------------------------
% 1.53/0.59 % (16411)Instruction limit reached!
% 1.53/0.59 % (16411)------------------------------
% 1.53/0.59 % (16411)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.59 % (16411)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.59 % (16411)Termination reason: Unknown
% 1.53/0.59 % (16411)Termination phase: Saturation
% 1.53/0.59
% 1.53/0.59 % (16411)Memory used [KB]: 1918
% 1.53/0.59 % (16411)Time elapsed: 0.170 s
% 1.53/0.59 % (16411)Instructions burned: 75 (million)
% 1.53/0.59 % (16411)------------------------------
% 1.53/0.59 % (16411)------------------------------
% 1.53/0.59 TRYING [4]
% 1.53/0.59 % (16402)Instruction limit reached!
% 1.53/0.59 % (16402)------------------------------
% 1.53/0.59 % (16402)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.59 % (16402)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.59 % (16402)Termination reason: Unknown
% 1.53/0.59 % (16402)Termination phase: Finite model building constraint generation
% 1.53/0.59
% 1.53/0.59 % (16402)Memory used [KB]: 7036
% 1.53/0.59 % (16402)Time elapsed: 0.161 s
% 1.53/0.59 % (16402)Instructions burned: 53 (million)
% 1.53/0.59 % (16402)------------------------------
% 1.53/0.59 % (16402)------------------------------
% 1.53/0.59 % (16417)First to succeed.
% 1.53/0.60 % (16417)Refutation found. Thanks to Tanya!
% 1.53/0.60 % SZS status Unsatisfiable for theBenchmark
% 1.53/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.53/0.60 % (16417)------------------------------
% 1.53/0.60 % (16417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.60 % (16417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.60 % (16417)Termination reason: Refutation
% 1.53/0.60
% 1.53/0.60 % (16417)Memory used [KB]: 5884
% 1.53/0.60 % (16417)Time elapsed: 0.200 s
% 1.53/0.60 % (16417)Instructions burned: 23 (million)
% 1.53/0.60 % (16417)------------------------------
% 1.53/0.60 % (16417)------------------------------
% 1.53/0.60 % (16395)Success in time 0.246 s
%------------------------------------------------------------------------------