TSTP Solution File: GRP354-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP354-1 : 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 : n003.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 16:15:30 EDT 2022
% Result : Unsatisfiable 1.34s 0.61s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 50
% Syntax : Number of formulae : 247 ( 26 unt; 0 def)
% Number of atoms : 803 ( 305 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 1078 ( 522 ~; 540 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 19 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1241,plain,
$false,
inference(avatar_sat_refutation,[],[f158,f171,f189,f191,f193,f194,f195,f196,f197,f198,f199,f201,f202,f204,f208,f210,f211,f214,f230,f232,f440,f462,f510,f572,f634,f772,f786,f823,f839,f880,f943,f1217]) ).
fof(f1217,plain,
( ~ spl14_11
| ~ spl14_12
| ~ spl14_17 ),
inference(avatar_contradiction_clause,[],[f1216]) ).
fof(f1216,plain,
( $false
| ~ spl14_11
| ~ spl14_12
| ~ spl14_17 ),
inference(subsumption_resolution,[],[f1215,f1000]) ).
fof(f1000,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl14_12 ),
inference(backward_demodulation,[],[f62,f176]) ).
fof(f176,plain,
( sk_c9 = sF5
| ~ spl14_12 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f174,plain,
( spl14_12
<=> sk_c9 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_12])]) ).
fof(f62,plain,
inverse(sk_c4) = sF5,
introduced(function_definition,[]) ).
fof(f1215,plain,
( sk_c9 != inverse(sk_c4)
| ~ spl14_11
| ~ spl14_17 ),
inference(trivial_inequality_removal,[],[f1214]) ).
fof(f1214,plain,
( sk_c9 != inverse(sk_c4)
| sk_c9 != sk_c9
| ~ spl14_11
| ~ spl14_17 ),
inference(superposition,[],[f226,f240]) ).
fof(f240,plain,
( sk_c9 = multiply(sk_c4,sk_c8)
| ~ spl14_11 ),
inference(backward_demodulation,[],[f75,f170]) ).
fof(f170,plain,
( sk_c9 = sF11
| ~ spl14_11 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f168,plain,
( spl14_11
<=> sk_c9 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_11])]) ).
fof(f75,plain,
multiply(sk_c4,sk_c8) = sF11,
introduced(function_definition,[]) ).
fof(f226,plain,
( ! [X6] :
( sk_c9 != multiply(X6,sk_c8)
| sk_c9 != inverse(X6) )
| ~ spl14_17 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f225,plain,
( spl14_17
<=> ! [X6] :
( sk_c9 != multiply(X6,sk_c8)
| sk_c9 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_17])]) ).
fof(f943,plain,
( ~ spl14_1
| spl14_7
| ~ spl14_8
| ~ spl14_9
| ~ spl14_13
| ~ spl14_27 ),
inference(avatar_contradiction_clause,[],[f942]) ).
fof(f942,plain,
( $false
| ~ spl14_1
| spl14_7
| ~ spl14_8
| ~ spl14_9
| ~ spl14_13
| ~ spl14_27 ),
inference(subsumption_resolution,[],[f941,f874]) ).
fof(f874,plain,
( identity != sF6
| ~ spl14_1
| spl14_7
| ~ spl14_27 ),
inference(forward_demodulation,[],[f146,f840]) ).
fof(f840,plain,
( identity = sk_c8
| ~ spl14_1
| ~ spl14_27 ),
inference(forward_demodulation,[],[f120,f556]) ).
fof(f556,plain,
( identity = sF3
| ~ spl14_27 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f555,plain,
( spl14_27
<=> identity = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_27])]) ).
fof(f120,plain,
( sk_c8 = sF3
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl14_1
<=> sk_c8 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f146,plain,
( sk_c8 != sF6
| spl14_7 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f145,plain,
( spl14_7
<=> sk_c8 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_7])]) ).
fof(f941,plain,
( identity = sF6
| ~ spl14_1
| ~ spl14_8
| ~ spl14_9
| ~ spl14_13
| ~ spl14_27 ),
inference(forward_demodulation,[],[f877,f890]) ).
fof(f890,plain,
( identity = multiply(sk_c7,sk_c7)
| ~ spl14_1
| ~ spl14_8
| ~ spl14_9
| ~ spl14_13
| ~ spl14_27 ),
inference(forward_demodulation,[],[f889,f884]) ).
fof(f884,plain,
( sk_c7 = sk_c2
| ~ spl14_1
| ~ spl14_8
| ~ spl14_9
| ~ spl14_13
| ~ spl14_27 ),
inference(backward_demodulation,[],[f628,f883]) ).
fof(f883,plain,
( sk_c7 = multiply(inverse(sk_c7),identity)
| ~ spl14_1
| ~ spl14_8
| ~ spl14_13
| ~ spl14_27 ),
inference(forward_demodulation,[],[f649,f850]) ).
fof(f850,plain,
( sk_c7 = sk_c9
| ~ spl14_1
| ~ spl14_13
| ~ spl14_27 ),
inference(forward_demodulation,[],[f849,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f849,plain,
( sk_c9 = multiply(identity,sk_c7)
| ~ spl14_1
| ~ spl14_13
| ~ spl14_27 ),
inference(forward_demodulation,[],[f576,f840]) ).
fof(f576,plain,
( multiply(sk_c8,sk_c7) = sk_c9
| ~ spl14_13 ),
inference(forward_demodulation,[],[f57,f182]) ).
fof(f182,plain,
( sk_c9 = sF2
| ~ spl14_13 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f180,plain,
( spl14_13
<=> sk_c9 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_13])]) ).
fof(f57,plain,
multiply(sk_c8,sk_c7) = sF2,
introduced(function_definition,[]) ).
fof(f649,plain,
( sk_c9 = multiply(inverse(sk_c7),identity)
| ~ spl14_8 ),
inference(forward_demodulation,[],[f296,f151]) ).
fof(f151,plain,
( sk_c7 = sF9
| ~ spl14_8 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f149,plain,
( spl14_8
<=> sk_c7 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_8])]) ).
fof(f296,plain,
sk_c9 = multiply(inverse(sF9),identity),
inference(superposition,[],[f261,f242]) ).
fof(f242,plain,
identity = multiply(sF9,sk_c9),
inference(superposition,[],[f2,f70]) ).
fof(f70,plain,
inverse(sk_c9) = sF9,
introduced(function_definition,[]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f261,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f250,f1]) ).
fof(f250,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,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(f628,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl14_9 ),
inference(backward_demodulation,[],[f295,f156]) ).
fof(f156,plain,
( sk_c7 = sF7
| ~ spl14_9 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f154,plain,
( spl14_9
<=> sk_c7 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_9])]) ).
fof(f295,plain,
sk_c2 = multiply(inverse(sF7),identity),
inference(superposition,[],[f261,f247]) ).
fof(f247,plain,
identity = multiply(sF7,sk_c2),
inference(superposition,[],[f2,f67]) ).
fof(f67,plain,
inverse(sk_c2) = sF7,
introduced(function_definition,[]) ).
fof(f889,plain,
( identity = multiply(sk_c2,sk_c7)
| ~ spl14_27 ),
inference(forward_demodulation,[],[f59,f556]) ).
fof(f59,plain,
multiply(sk_c2,sk_c7) = sF3,
introduced(function_definition,[]) ).
fof(f877,plain,
( multiply(sk_c7,sk_c7) = sF6
| ~ spl14_1
| ~ spl14_13
| ~ spl14_27 ),
inference(forward_demodulation,[],[f64,f850]) ).
fof(f64,plain,
multiply(sk_c9,sk_c7) = sF6,
introduced(function_definition,[]) ).
fof(f880,plain,
( ~ spl14_1
| spl14_7
| ~ spl14_11
| ~ spl14_12
| ~ spl14_13
| ~ spl14_27 ),
inference(avatar_contradiction_clause,[],[f879]) ).
fof(f879,plain,
( $false
| ~ spl14_1
| spl14_7
| ~ spl14_11
| ~ spl14_12
| ~ spl14_13
| ~ spl14_27 ),
inference(subsumption_resolution,[],[f878,f874]) ).
fof(f878,plain,
( identity = sF6
| ~ spl14_1
| ~ spl14_11
| ~ spl14_12
| ~ spl14_13
| ~ spl14_27 ),
inference(forward_demodulation,[],[f877,f864]) ).
fof(f864,plain,
( identity = multiply(sk_c7,sk_c7)
| ~ spl14_1
| ~ spl14_11
| ~ spl14_12
| ~ spl14_13
| ~ spl14_27 ),
inference(forward_demodulation,[],[f863,f840]) ).
fof(f863,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl14_1
| ~ spl14_11
| ~ spl14_12
| ~ spl14_13
| ~ spl14_27 ),
inference(forward_demodulation,[],[f304,f850]) ).
fof(f304,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl14_11
| ~ spl14_12 ),
inference(forward_demodulation,[],[f289,f237]) ).
fof(f237,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl14_12 ),
inference(backward_demodulation,[],[f62,f176]) ).
fof(f289,plain,
( sk_c8 = multiply(inverse(sk_c4),sk_c9)
| ~ spl14_11 ),
inference(superposition,[],[f261,f240]) ).
fof(f839,plain,
( ~ spl14_7
| ~ spl14_8
| ~ spl14_13
| ~ spl14_18 ),
inference(avatar_contradiction_clause,[],[f838]) ).
fof(f838,plain,
( $false
| ~ spl14_7
| ~ spl14_8
| ~ spl14_13
| ~ spl14_18 ),
inference(subsumption_resolution,[],[f833,f703]) ).
fof(f703,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl14_7
| ~ spl14_8
| ~ spl14_13 ),
inference(forward_demodulation,[],[f702,f600]) ).
fof(f600,plain,
( sk_c7 = sk_c9
| ~ spl14_7
| ~ spl14_8
| ~ spl14_13 ),
inference(forward_demodulation,[],[f595,f1]) ).
fof(f595,plain,
( sk_c9 = multiply(identity,sk_c7)
| ~ spl14_7
| ~ spl14_8
| ~ spl14_13 ),
inference(backward_demodulation,[],[f576,f584]) ).
fof(f584,plain,
( identity = sk_c8
| ~ spl14_7
| ~ spl14_8 ),
inference(forward_demodulation,[],[f583,f2]) ).
fof(f583,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| ~ spl14_7
| ~ spl14_8 ),
inference(forward_demodulation,[],[f317,f151]) ).
fof(f317,plain,
( sk_c8 = multiply(inverse(sF9),sk_c7)
| ~ spl14_7 ),
inference(superposition,[],[f261,f299]) ).
fof(f299,plain,
( sk_c7 = multiply(sF9,sk_c8)
| ~ spl14_7 ),
inference(forward_demodulation,[],[f285,f70]) ).
fof(f285,plain,
( sk_c7 = multiply(inverse(sk_c9),sk_c8)
| ~ spl14_7 ),
inference(superposition,[],[f261,f236]) ).
fof(f236,plain,
( sk_c8 = multiply(sk_c9,sk_c7)
| ~ spl14_7 ),
inference(backward_demodulation,[],[f64,f147]) ).
fof(f147,plain,
( sk_c8 = sF6
| ~ spl14_7 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f702,plain,
( sk_c7 = inverse(sk_c9)
| ~ spl14_8 ),
inference(forward_demodulation,[],[f70,f151]) ).
fof(f833,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl14_7
| ~ spl14_8
| ~ spl14_13
| ~ spl14_18 ),
inference(trivial_inequality_removal,[],[f831]) ).
fof(f831,plain,
( identity != identity
| sk_c7 != inverse(sk_c7)
| ~ spl14_7
| ~ spl14_8
| ~ spl14_13
| ~ spl14_18 ),
inference(superposition,[],[f826,f648]) ).
fof(f648,plain,
( identity = multiply(sk_c7,sk_c7)
| ~ spl14_7
| ~ spl14_8
| ~ spl14_13 ),
inference(forward_demodulation,[],[f647,f151]) ).
fof(f647,plain,
( identity = multiply(sF9,sk_c7)
| ~ spl14_7
| ~ spl14_8
| ~ spl14_13 ),
inference(forward_demodulation,[],[f242,f600]) ).
fof(f826,plain,
( ! [X3] :
( identity != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl14_7
| ~ spl14_8
| ~ spl14_13
| ~ spl14_18 ),
inference(forward_demodulation,[],[f825,f584]) ).
fof(f825,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl14_7
| ~ spl14_8
| ~ spl14_13
| ~ spl14_18 ),
inference(forward_demodulation,[],[f824,f600]) ).
fof(f824,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c8 != multiply(X3,sk_c9) )
| ~ spl14_7
| ~ spl14_8
| ~ spl14_13
| ~ spl14_18 ),
inference(forward_demodulation,[],[f229,f600]) ).
fof(f229,plain,
( ! [X3] :
( sk_c9 != inverse(X3)
| sk_c8 != multiply(X3,sk_c9) )
| ~ spl14_18 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f228,plain,
( spl14_18
<=> ! [X3] :
( sk_c9 != inverse(X3)
| sk_c8 != multiply(X3,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_18])]) ).
fof(f823,plain,
( ~ spl14_3
| ~ spl14_6
| ~ spl14_7
| ~ spl14_8
| ~ spl14_13
| ~ spl14_17 ),
inference(avatar_contradiction_clause,[],[f822]) ).
fof(f822,plain,
( $false
| ~ spl14_3
| ~ spl14_6
| ~ spl14_7
| ~ spl14_8
| ~ spl14_13
| ~ spl14_17 ),
inference(subsumption_resolution,[],[f821,f703]) ).
fof(f821,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl14_3
| ~ spl14_6
| ~ spl14_7
| ~ spl14_8
| ~ spl14_13
| ~ spl14_17 ),
inference(trivial_inequality_removal,[],[f818]) ).
fof(f818,plain,
( sk_c7 != inverse(sk_c7)
| sk_c7 != sk_c7
| ~ spl14_3
| ~ spl14_6
| ~ spl14_7
| ~ spl14_8
| ~ spl14_13
| ~ spl14_17 ),
inference(superposition,[],[f803,f610]) ).
fof(f610,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl14_3
| ~ spl14_6
| ~ spl14_7
| ~ spl14_8
| ~ spl14_13 ),
inference(backward_demodulation,[],[f596,f600]) ).
fof(f596,plain,
( sk_c9 = multiply(sk_c9,identity)
| ~ spl14_3
| ~ spl14_6
| ~ spl14_7
| ~ spl14_8 ),
inference(backward_demodulation,[],[f582,f584]) ).
fof(f582,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl14_3
| ~ spl14_6 ),
inference(backward_demodulation,[],[f577,f142]) ).
fof(f142,plain,
( sk_c9 = sF10
| ~ spl14_6 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f140,plain,
( spl14_6
<=> sk_c9 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).
fof(f577,plain,
( sk_c9 = multiply(sF10,sk_c8)
| ~ spl14_3 ),
inference(forward_demodulation,[],[f312,f129]) ).
fof(f129,plain,
( sk_c8 = sF0
| ~ spl14_3 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f127,plain,
( spl14_3
<=> sk_c8 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f312,plain,
sk_c9 = multiply(sF10,sF0),
inference(forward_demodulation,[],[f293,f73]) ).
fof(f73,plain,
inverse(sk_c1) = sF10,
introduced(function_definition,[]) ).
fof(f293,plain,
sk_c9 = multiply(inverse(sk_c1),sF0),
inference(superposition,[],[f261,f54]) ).
fof(f54,plain,
multiply(sk_c1,sk_c9) = sF0,
introduced(function_definition,[]) ).
fof(f803,plain,
( ! [X6] :
( sk_c7 != multiply(X6,identity)
| sk_c7 != inverse(X6) )
| ~ spl14_7
| ~ spl14_8
| ~ spl14_13
| ~ spl14_17 ),
inference(forward_demodulation,[],[f802,f600]) ).
fof(f802,plain,
( ! [X6] :
( sk_c9 != multiply(X6,identity)
| sk_c7 != inverse(X6) )
| ~ spl14_7
| ~ spl14_8
| ~ spl14_13
| ~ spl14_17 ),
inference(forward_demodulation,[],[f801,f584]) ).
fof(f801,plain,
( ! [X6] :
( sk_c9 != multiply(X6,sk_c8)
| sk_c7 != inverse(X6) )
| ~ spl14_7
| ~ spl14_8
| ~ spl14_13
| ~ spl14_17 ),
inference(forward_demodulation,[],[f226,f600]) ).
fof(f786,plain,
( ~ spl14_7
| ~ spl14_8
| ~ spl14_13
| ~ spl14_15 ),
inference(avatar_contradiction_clause,[],[f785]) ).
fof(f785,plain,
( $false
| ~ spl14_7
| ~ spl14_8
| ~ spl14_13
| ~ spl14_15 ),
inference(subsumption_resolution,[],[f780,f648]) ).
fof(f780,plain,
( identity != multiply(sk_c7,sk_c7)
| ~ spl14_7
| ~ spl14_8
| ~ spl14_13
| ~ spl14_15 ),
inference(duplicate_literal_removal,[],[f776]) ).
fof(f776,plain,
( identity != multiply(sk_c7,sk_c7)
| identity != multiply(sk_c7,sk_c7)
| ~ spl14_7
| ~ spl14_8
| ~ spl14_13
| ~ spl14_15 ),
inference(superposition,[],[f775,f703]) ).
fof(f775,plain,
( ! [X7] :
( identity != multiply(inverse(X7),sk_c7)
| identity != multiply(X7,inverse(X7)) )
| ~ spl14_7
| ~ spl14_8
| ~ spl14_15 ),
inference(forward_demodulation,[],[f774,f584]) ).
fof(f774,plain,
( ! [X7] :
( identity != multiply(X7,inverse(X7))
| sk_c8 != multiply(inverse(X7),sk_c7) )
| ~ spl14_7
| ~ spl14_8
| ~ spl14_15 ),
inference(forward_demodulation,[],[f220,f584]) ).
fof(f220,plain,
( ! [X7] :
( sk_c8 != multiply(X7,inverse(X7))
| sk_c8 != multiply(inverse(X7),sk_c7) )
| ~ spl14_15 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f219,plain,
( spl14_15
<=> ! [X7] :
( sk_c8 != multiply(inverse(X7),sk_c7)
| sk_c8 != multiply(X7,inverse(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_15])]) ).
fof(f772,plain,
( ~ spl14_7
| ~ spl14_8
| ~ spl14_13
| ~ spl14_16 ),
inference(avatar_contradiction_clause,[],[f771]) ).
fof(f771,plain,
( $false
| ~ spl14_7
| ~ spl14_8
| ~ spl14_13
| ~ spl14_16 ),
inference(subsumption_resolution,[],[f770,f703]) ).
fof(f770,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl14_7
| ~ spl14_8
| ~ spl14_13
| ~ spl14_16 ),
inference(forward_demodulation,[],[f768,f703]) ).
fof(f768,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl14_7
| ~ spl14_8
| ~ spl14_16 ),
inference(trivial_inequality_removal,[],[f765]) ).
fof(f765,plain,
( identity != identity
| sk_c7 != inverse(inverse(sk_c7))
| ~ spl14_7
| ~ spl14_8
| ~ spl14_16 ),
inference(superposition,[],[f587,f2]) ).
fof(f587,plain,
( ! [X4] :
( identity != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl14_7
| ~ spl14_8
| ~ spl14_16 ),
inference(backward_demodulation,[],[f223,f584]) ).
fof(f223,plain,
( ! [X4] :
( sk_c8 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl14_16 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f222,plain,
( spl14_16
<=> ! [X4] :
( sk_c7 != inverse(X4)
| sk_c8 != multiply(X4,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_16])]) ).
fof(f634,plain,
( spl14_27
| ~ spl14_9 ),
inference(avatar_split_clause,[],[f633,f154,f555]) ).
fof(f633,plain,
( identity = sF3
| ~ spl14_9 ),
inference(forward_demodulation,[],[f630,f2]) ).
fof(f630,plain,
( multiply(inverse(sk_c7),sk_c7) = sF3
| ~ spl14_9 ),
inference(backward_demodulation,[],[f521,f156]) ).
fof(f521,plain,
multiply(inverse(sF7),sk_c7) = sF3,
inference(superposition,[],[f261,f300]) ).
fof(f300,plain,
sk_c7 = multiply(sF7,sF3),
inference(forward_demodulation,[],[f294,f67]) ).
fof(f294,plain,
sk_c7 = multiply(inverse(sk_c2),sF3),
inference(superposition,[],[f261,f59]) ).
fof(f572,plain,
( ~ spl14_2
| ~ spl14_7
| ~ spl14_13
| ~ spl14_14
| ~ spl14_16 ),
inference(avatar_contradiction_clause,[],[f571]) ).
fof(f571,plain,
( $false
| ~ spl14_2
| ~ spl14_7
| ~ spl14_13
| ~ spl14_14
| ~ spl14_16 ),
inference(subsumption_resolution,[],[f570,f452]) ).
fof(f452,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl14_2
| ~ spl14_7
| ~ spl14_13
| ~ spl14_14 ),
inference(backward_demodulation,[],[f367,f441]) ).
fof(f441,plain,
( sk_c7 = sk_c9
| ~ spl14_2
| ~ spl14_13
| ~ spl14_14 ),
inference(forward_demodulation,[],[f182,f352]) ).
fof(f352,plain,
( sk_c7 = sF2
| ~ spl14_2
| ~ spl14_14 ),
inference(forward_demodulation,[],[f327,f1]) ).
fof(f327,plain,
( sF2 = multiply(identity,sk_c7)
| ~ spl14_2
| ~ spl14_14 ),
inference(backward_demodulation,[],[f57,f326]) ).
fof(f326,plain,
( identity = sk_c8
| ~ spl14_2
| ~ spl14_14 ),
inference(forward_demodulation,[],[f324,f2]) ).
fof(f324,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c9)
| ~ spl14_2
| ~ spl14_14 ),
inference(superposition,[],[f261,f302]) ).
fof(f302,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl14_2
| ~ spl14_14 ),
inference(forward_demodulation,[],[f288,f234]) ).
fof(f234,plain,
( sk_c9 = inverse(sk_c3)
| ~ spl14_2 ),
inference(backward_demodulation,[],[f78,f124]) ).
fof(f124,plain,
( sk_c9 = sF12
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f122,plain,
( spl14_2
<=> sk_c9 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f78,plain,
inverse(sk_c3) = sF12,
introduced(function_definition,[]) ).
fof(f288,plain,
( sk_c9 = multiply(inverse(sk_c3),sk_c8)
| ~ spl14_14 ),
inference(superposition,[],[f261,f238]) ).
fof(f238,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl14_14 ),
inference(backward_demodulation,[],[f91,f187]) ).
fof(f187,plain,
( sk_c8 = sF13
| ~ spl14_14 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f185,plain,
( spl14_14
<=> sk_c8 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_14])]) ).
fof(f91,plain,
multiply(sk_c3,sk_c9) = sF13,
introduced(function_definition,[]) ).
fof(f367,plain,
( sk_c9 = inverse(sk_c7)
| ~ spl14_2
| ~ spl14_7
| ~ spl14_14 ),
inference(backward_demodulation,[],[f234,f366]) ).
fof(f366,plain,
( sk_c7 = sk_c3
| ~ spl14_2
| ~ spl14_7
| ~ spl14_14 ),
inference(backward_demodulation,[],[f305,f343]) ).
fof(f343,plain,
( sk_c7 = multiply(sF9,identity)
| ~ spl14_2
| ~ spl14_7
| ~ spl14_14 ),
inference(backward_demodulation,[],[f299,f326]) ).
fof(f305,plain,
( sk_c3 = multiply(sF9,identity)
| ~ spl14_2 ),
inference(forward_demodulation,[],[f286,f70]) ).
fof(f286,plain,
( sk_c3 = multiply(inverse(sk_c9),identity)
| ~ spl14_2 ),
inference(superposition,[],[f261,f243]) ).
fof(f243,plain,
( identity = multiply(sk_c9,sk_c3)
| ~ spl14_2 ),
inference(superposition,[],[f2,f234]) ).
fof(f570,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl14_2
| ~ spl14_7
| ~ spl14_13
| ~ spl14_14
| ~ spl14_16 ),
inference(forward_demodulation,[],[f534,f452]) ).
fof(f534,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl14_2
| ~ spl14_14
| ~ spl14_16 ),
inference(trivial_inequality_removal,[],[f529]) ).
fof(f529,plain,
( sk_c7 != inverse(inverse(sk_c7))
| identity != identity
| ~ spl14_2
| ~ spl14_14
| ~ spl14_16 ),
inference(superposition,[],[f511,f2]) ).
fof(f511,plain,
( ! [X4] :
( identity != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl14_2
| ~ spl14_14
| ~ spl14_16 ),
inference(forward_demodulation,[],[f223,f326]) ).
fof(f510,plain,
( ~ spl14_2
| ~ spl14_7
| ~ spl14_11
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14
| ~ spl14_15 ),
inference(avatar_contradiction_clause,[],[f509]) ).
fof(f509,plain,
( $false
| ~ spl14_2
| ~ spl14_7
| ~ spl14_11
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14
| ~ spl14_15 ),
inference(subsumption_resolution,[],[f508,f408]) ).
fof(f408,plain,
( identity = multiply(sk_c7,sk_c7)
| ~ spl14_2
| ~ spl14_7
| ~ spl14_11
| ~ spl14_12
| ~ spl14_14 ),
inference(superposition,[],[f332,f372]) ).
fof(f372,plain,
( ! [X11] : multiply(sk_c9,X11) = multiply(sk_c7,X11)
| ~ spl14_2
| ~ spl14_7
| ~ spl14_11
| ~ spl14_12
| ~ spl14_14 ),
inference(backward_demodulation,[],[f359,f366]) ).
fof(f359,plain,
( ! [X11] : multiply(sk_c9,X11) = multiply(sk_c3,X11)
| ~ spl14_2
| ~ spl14_11
| ~ spl14_12
| ~ spl14_14 ),
inference(forward_demodulation,[],[f347,f1]) ).
fof(f347,plain,
( ! [X11] : multiply(sk_c9,X11) = multiply(sk_c3,multiply(identity,X11))
| ~ spl14_2
| ~ spl14_11
| ~ spl14_12
| ~ spl14_14 ),
inference(backward_demodulation,[],[f308,f326]) ).
fof(f308,plain,
( ! [X11] : multiply(sk_c9,X11) = multiply(sk_c3,multiply(sk_c8,X11))
| ~ spl14_2
| ~ spl14_11
| ~ spl14_12 ),
inference(backward_demodulation,[],[f254,f306]) ).
fof(f306,plain,
( sk_c3 = sk_c4
| ~ spl14_2
| ~ spl14_12 ),
inference(backward_demodulation,[],[f301,f305]) ).
fof(f301,plain,
( sk_c4 = multiply(sF9,identity)
| ~ spl14_12 ),
inference(forward_demodulation,[],[f287,f70]) ).
fof(f287,plain,
( sk_c4 = multiply(inverse(sk_c9),identity)
| ~ spl14_12 ),
inference(superposition,[],[f261,f244]) ).
fof(f244,plain,
( identity = multiply(sk_c9,sk_c4)
| ~ spl14_12 ),
inference(superposition,[],[f2,f237]) ).
fof(f254,plain,
( ! [X11] : multiply(sk_c9,X11) = multiply(sk_c4,multiply(sk_c8,X11))
| ~ spl14_11 ),
inference(superposition,[],[f3,f240]) ).
fof(f332,plain,
( identity = multiply(sk_c9,sk_c7)
| ~ spl14_2
| ~ spl14_7
| ~ spl14_14 ),
inference(backward_demodulation,[],[f236,f326]) ).
fof(f508,plain,
( identity != multiply(sk_c7,sk_c7)
| ~ spl14_2
| ~ spl14_7
| ~ spl14_13
| ~ spl14_14
| ~ spl14_15 ),
inference(forward_demodulation,[],[f486,f452]) ).
fof(f486,plain,
( identity != multiply(sk_c7,inverse(sk_c7))
| ~ spl14_2
| ~ spl14_14
| ~ spl14_15 ),
inference(trivial_inequality_removal,[],[f485]) ).
fof(f485,plain,
( identity != multiply(sk_c7,inverse(sk_c7))
| identity != identity
| ~ spl14_2
| ~ spl14_14
| ~ spl14_15 ),
inference(superposition,[],[f464,f2]) ).
fof(f464,plain,
( ! [X7] :
( identity != multiply(inverse(X7),sk_c7)
| identity != multiply(X7,inverse(X7)) )
| ~ spl14_2
| ~ spl14_14
| ~ spl14_15 ),
inference(forward_demodulation,[],[f463,f326]) ).
fof(f463,plain,
( ! [X7] :
( identity != multiply(inverse(X7),sk_c7)
| sk_c8 != multiply(X7,inverse(X7)) )
| ~ spl14_2
| ~ spl14_14
| ~ spl14_15 ),
inference(forward_demodulation,[],[f220,f326]) ).
fof(f462,plain,
( ~ spl14_2
| ~ spl14_7
| spl14_8
| ~ spl14_13
| ~ spl14_14 ),
inference(avatar_contradiction_clause,[],[f461]) ).
fof(f461,plain,
( $false
| ~ spl14_2
| ~ spl14_7
| spl14_8
| ~ spl14_13
| ~ spl14_14 ),
inference(subsumption_resolution,[],[f460,f150]) ).
fof(f150,plain,
( sk_c7 != sF9
| spl14_8 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f460,plain,
( sk_c7 = sF9
| ~ spl14_2
| ~ spl14_7
| ~ spl14_13
| ~ spl14_14 ),
inference(forward_demodulation,[],[f443,f452]) ).
fof(f443,plain,
( inverse(sk_c7) = sF9
| ~ spl14_2
| ~ spl14_13
| ~ spl14_14 ),
inference(backward_demodulation,[],[f70,f441]) ).
fof(f440,plain,
( ~ spl14_2
| ~ spl14_7
| ~ spl14_11
| ~ spl14_12
| spl14_13
| ~ spl14_14 ),
inference(avatar_contradiction_clause,[],[f439]) ).
fof(f439,plain,
( $false
| ~ spl14_2
| ~ spl14_7
| ~ spl14_11
| ~ spl14_12
| spl14_13
| ~ spl14_14 ),
inference(subsumption_resolution,[],[f438,f353]) ).
fof(f353,plain,
( sk_c7 != sk_c9
| ~ spl14_2
| spl14_13
| ~ spl14_14 ),
inference(backward_demodulation,[],[f181,f352]) ).
fof(f181,plain,
( sk_c9 != sF2
| spl14_13 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f438,plain,
( sk_c7 = sk_c9
| ~ spl14_2
| ~ spl14_7
| ~ spl14_11
| ~ spl14_12
| ~ spl14_14 ),
inference(forward_demodulation,[],[f437,f343]) ).
fof(f437,plain,
( sk_c9 = multiply(sF9,identity)
| ~ spl14_2
| ~ spl14_11
| ~ spl14_12
| ~ spl14_14 ),
inference(forward_demodulation,[],[f433,f70]) ).
fof(f433,plain,
( sk_c9 = multiply(inverse(sk_c9),identity)
| ~ spl14_2
| ~ spl14_11
| ~ spl14_12
| ~ spl14_14 ),
inference(superposition,[],[f261,f346]) ).
fof(f346,plain,
( identity = multiply(sk_c9,sk_c9)
| ~ spl14_2
| ~ spl14_11
| ~ spl14_12
| ~ spl14_14 ),
inference(backward_demodulation,[],[f304,f326]) ).
fof(f232,plain,
( spl14_9
| spl14_2 ),
inference(avatar_split_clause,[],[f90,f122,f154]) ).
fof(f90,plain,
( sk_c9 = sF12
| sk_c7 = sF7 ),
inference(definition_folding,[],[f45,f67,f78]) ).
fof(f45,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f230,plain,
( ~ spl14_13
| spl14_15
| spl14_16
| spl14_17
| spl14_18
| ~ spl14_8
| ~ spl14_7
| spl14_18 ),
inference(avatar_split_clause,[],[f99,f228,f145,f149,f228,f225,f222,f219,f180]) ).
fof(f99,plain,
! [X3,X6,X7,X4,X5] :
( sk_c9 != inverse(X5)
| sk_c8 != sF6
| sk_c7 != sF9
| sk_c9 != inverse(X3)
| sk_c9 != multiply(X6,sk_c8)
| sk_c7 != inverse(X4)
| sk_c8 != multiply(inverse(X7),sk_c7)
| sk_c9 != inverse(X6)
| sk_c9 != sF2
| sk_c8 != multiply(X5,sk_c9)
| sk_c8 != multiply(X3,sk_c9)
| sk_c8 != multiply(X7,inverse(X7))
| sk_c8 != multiply(X4,sk_c7) ),
inference(definition_folding,[],[f53,f57,f64,f70]) ).
fof(f53,plain,
! [X3,X6,X7,X4,X5] :
( sk_c8 != multiply(X3,sk_c9)
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(inverse(X7),sk_c7)
| sk_c7 != inverse(sk_c9)
| sk_c9 != inverse(X6)
| sk_c9 != inverse(X3)
| sk_c8 != multiply(sk_c9,sk_c7)
| sk_c8 != multiply(X7,inverse(X7))
| sk_c9 != multiply(X6,sk_c8)
| sk_c7 != inverse(X4)
| multiply(sk_c8,sk_c7) != sk_c9
| sk_c9 != inverse(X5)
| sk_c8 != multiply(X5,sk_c9) ),
inference(equality_resolution,[],[f52]) ).
fof(f52,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c8 != multiply(X3,sk_c9)
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X8,sk_c7)
| sk_c7 != inverse(sk_c9)
| inverse(X7) != X8
| sk_c9 != inverse(X6)
| sk_c9 != inverse(X3)
| sk_c8 != multiply(sk_c9,sk_c7)
| sk_c8 != multiply(X7,X8)
| sk_c9 != multiply(X6,sk_c8)
| sk_c7 != inverse(X4)
| multiply(sk_c8,sk_c7) != sk_c9
| sk_c9 != inverse(X5)
| sk_c8 != multiply(X5,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f214,plain,
( spl14_8
| spl14_14 ),
inference(avatar_split_clause,[],[f105,f185,f149]) ).
fof(f105,plain,
( sk_c8 = sF13
| sk_c7 = sF9 ),
inference(definition_folding,[],[f28,f70,f91]) ).
fof(f28,axiom,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c7 = inverse(sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f211,plain,
( spl14_3
| spl14_12 ),
inference(avatar_split_clause,[],[f89,f174,f127]) ).
fof(f89,plain,
( sk_c9 = sF5
| sk_c8 = sF0 ),
inference(definition_folding,[],[f15,f54,f62]) ).
fof(f15,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f210,plain,
( spl14_12
| spl14_13 ),
inference(avatar_split_clause,[],[f63,f180,f174]) ).
fof(f63,plain,
( sk_c9 = sF2
| sk_c9 = sF5 ),
inference(definition_folding,[],[f7,f57,f62]) ).
fof(f7,axiom,
( sk_c9 = inverse(sk_c4)
| multiply(sk_c8,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f208,plain,
( spl14_11
| spl14_9 ),
inference(avatar_split_clause,[],[f76,f154,f168]) ).
fof(f76,plain,
( sk_c7 = sF7
| sk_c9 = sF11 ),
inference(definition_folding,[],[f48,f75,f67]) ).
fof(f48,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c9 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
fof(f204,plain,
( spl14_12
| spl14_8 ),
inference(avatar_split_clause,[],[f71,f149,f174]) ).
fof(f71,plain,
( sk_c7 = sF9
| sk_c9 = sF5 ),
inference(definition_folding,[],[f31,f62,f70]) ).
fof(f31,axiom,
( sk_c7 = inverse(sk_c9)
| sk_c9 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f202,plain,
( spl14_11
| spl14_3 ),
inference(avatar_split_clause,[],[f85,f127,f168]) ).
fof(f85,plain,
( sk_c8 = sF0
| sk_c9 = sF11 ),
inference(definition_folding,[],[f16,f75,f54]) ).
fof(f16,axiom,
( sk_c8 = multiply(sk_c1,sk_c9)
| sk_c9 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f201,plain,
( spl14_2
| spl14_8 ),
inference(avatar_split_clause,[],[f95,f149,f122]) ).
fof(f95,plain,
( sk_c7 = sF9
| sk_c9 = sF12 ),
inference(definition_folding,[],[f29,f78,f70]) ).
fof(f29,axiom,
( sk_c7 = inverse(sk_c9)
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f199,plain,
( spl14_11
| spl14_13 ),
inference(avatar_split_clause,[],[f97,f180,f168]) ).
fof(f97,plain,
( sk_c9 = sF2
| sk_c9 = sF11 ),
inference(definition_folding,[],[f8,f75,f57]) ).
fof(f8,axiom,
( multiply(sk_c8,sk_c7) = sk_c9
| sk_c9 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f198,plain,
( spl14_7
| spl14_1 ),
inference(avatar_split_clause,[],[f106,f118,f145]) ).
fof(f106,plain,
( sk_c8 = sF3
| sk_c8 = sF6 ),
inference(definition_folding,[],[f38,f59,f64]) ).
fof(f38,axiom,
( sk_c8 = multiply(sk_c9,sk_c7)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f197,plain,
( spl14_6
| spl14_11 ),
inference(avatar_split_clause,[],[f80,f168,f140]) ).
fof(f80,plain,
( sk_c9 = sF11
| sk_c9 = sF10 ),
inference(definition_folding,[],[f24,f73,f75]) ).
fof(f24,axiom,
( sk_c9 = multiply(sk_c4,sk_c8)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f196,plain,
( spl14_14
| spl14_13 ),
inference(avatar_split_clause,[],[f96,f180,f185]) ).
fof(f96,plain,
( sk_c9 = sF2
| sk_c8 = sF13 ),
inference(definition_folding,[],[f4,f91,f57]) ).
fof(f4,axiom,
( multiply(sk_c8,sk_c7) = sk_c9
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f195,plain,
( spl14_14
| spl14_9 ),
inference(avatar_split_clause,[],[f92,f154,f185]) ).
fof(f92,plain,
( sk_c7 = sF7
| sk_c8 = sF13 ),
inference(definition_folding,[],[f44,f67,f91]) ).
fof(f44,axiom,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f194,plain,
( spl14_2
| spl14_13 ),
inference(avatar_split_clause,[],[f107,f180,f122]) ).
fof(f107,plain,
( sk_c9 = sF2
| sk_c9 = sF12 ),
inference(definition_folding,[],[f5,f78,f57]) ).
fof(f5,axiom,
( multiply(sk_c8,sk_c7) = sk_c9
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f193,plain,
( spl14_13
| spl14_7 ),
inference(avatar_split_clause,[],[f65,f145,f180]) ).
fof(f65,plain,
( sk_c8 = sF6
| sk_c9 = sF2 ),
inference(definition_folding,[],[f6,f64,f57]) ).
fof(f6,axiom,
( multiply(sk_c8,sk_c7) = sk_c9
| sk_c8 = multiply(sk_c9,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f191,plain,
( spl14_6
| spl14_12 ),
inference(avatar_split_clause,[],[f74,f174,f140]) ).
fof(f74,plain,
( sk_c9 = sF5
| sk_c9 = sF10 ),
inference(definition_folding,[],[f23,f62,f73]) ).
fof(f23,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c9 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f189,plain,
( spl14_9
| spl14_12 ),
inference(avatar_split_clause,[],[f72,f174,f154]) ).
fof(f72,plain,
( sk_c9 = sF5
| sk_c7 = sF7 ),
inference(definition_folding,[],[f47,f62,f67]) ).
fof(f47,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c9 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
fof(f171,plain,
( spl14_11
| spl14_8 ),
inference(avatar_split_clause,[],[f94,f149,f168]) ).
fof(f94,plain,
( sk_c7 = sF9
| sk_c9 = sF11 ),
inference(definition_folding,[],[f32,f75,f70]) ).
fof(f32,axiom,
( sk_c7 = inverse(sk_c9)
| sk_c9 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f158,plain,
( spl14_7
| spl14_9 ),
inference(avatar_split_clause,[],[f100,f154,f145]) ).
fof(f100,plain,
( sk_c7 = sF7
| sk_c8 = sF6 ),
inference(definition_folding,[],[f46,f64,f67]) ).
fof(f46,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c8 = multiply(sk_c9,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP354-1 : TPTP v8.1.0. Released v2.5.0.
% 0.08/0.14 % 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 : n003.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 22:26:07 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.17/0.52 % (15779)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.17/0.52 % (15774)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.17/0.52 % (15772)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.17/0.52 % (15770)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)
% 1.17/0.52 % (15795)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.17/0.53 % (15771)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.17/0.53 % (15775)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.17/0.53 % (15770)Refutation not found, incomplete strategy% (15770)------------------------------
% 1.17/0.53 % (15770)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.17/0.53 % (15770)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.17/0.53 % (15770)Termination reason: Refutation not found, incomplete strategy
% 1.17/0.53
% 1.17/0.53 % (15770)Memory used [KB]: 6012
% 1.17/0.53 % (15770)Time elapsed: 0.114 s
% 1.17/0.53 % (15770)Instructions burned: 6 (million)
% 1.17/0.53 % (15770)------------------------------
% 1.17/0.53 % (15770)------------------------------
% 1.17/0.53 % (15768)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)
% 1.17/0.53 % (15768)Instruction limit reached!
% 1.17/0.53 % (15768)------------------------------
% 1.17/0.53 % (15768)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.53 % (15776)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.34/0.53 % (15789)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.34/0.53 % (15788)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 1.34/0.53 % (15794)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.34/0.53 % (15785)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.34/0.53 % (15793)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.34/0.53 % (15766)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.34/0.53 % (15781)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)
% 1.34/0.53 % (15774)Instruction limit reached!
% 1.34/0.53 % (15774)------------------------------
% 1.34/0.53 % (15774)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.53 % (15774)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.53 % (15774)Termination reason: Unknown
% 1.34/0.53 % (15774)Termination phase: Saturation
% 1.34/0.53
% 1.34/0.53 % (15774)Memory used [KB]: 5884
% 1.34/0.53 % (15774)Time elapsed: 0.003 s
% 1.34/0.53 % (15774)Instructions burned: 3 (million)
% 1.34/0.53 % (15774)------------------------------
% 1.34/0.53 % (15774)------------------------------
% 1.34/0.53 % (15786)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.34/0.53 % (15781)Instruction limit reached!
% 1.34/0.53 % (15781)------------------------------
% 1.34/0.53 % (15781)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.53 % (15781)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.53 % (15781)Termination reason: Unknown
% 1.34/0.53 % (15781)Termination phase: Finite model building preprocessing
% 1.34/0.53
% 1.34/0.53 % (15781)Memory used [KB]: 1535
% 1.34/0.53 % (15781)Time elapsed: 0.004 s
% 1.34/0.53 % (15781)Instructions burned: 7 (million)
% 1.34/0.53 % (15781)------------------------------
% 1.34/0.53 % (15781)------------------------------
% 1.34/0.54 % (15782)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.34/0.54 % (15767)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)
% 1.34/0.54 % (15778)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)
% 1.34/0.54 % (15792)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.34/0.54 % (15782)Instruction limit reached!
% 1.34/0.54 % (15782)------------------------------
% 1.34/0.54 % (15782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.54 % (15782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.54 % (15782)Termination reason: Unknown
% 1.34/0.54 % (15782)Termination phase: Property scanning
% 1.34/0.54
% 1.34/0.54 % (15782)Memory used [KB]: 1279
% 1.34/0.54 % (15782)Time elapsed: 0.002 s
% 1.34/0.54 % (15782)Instructions burned: 3 (million)
% 1.34/0.54 % (15782)------------------------------
% 1.34/0.54 % (15782)------------------------------
% 1.34/0.54 % (15768)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.54 % (15768)Termination reason: Unknown
% 1.34/0.54 % (15768)Termination phase: Saturation
% 1.34/0.54
% 1.34/0.54 % (15768)Memory used [KB]: 5884
% 1.34/0.54 % (15768)Time elapsed: 0.003 s
% 1.34/0.54 % (15768)Instructions burned: 5 (million)
% 1.34/0.54 % (15768)------------------------------
% 1.34/0.54 % (15768)------------------------------
% 1.34/0.54 % (15778)Instruction limit reached!
% 1.34/0.54 % (15778)------------------------------
% 1.34/0.54 % (15778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.54 % (15773)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)
% 1.34/0.54 % (15779)Instruction limit reached!
% 1.34/0.54 % (15779)------------------------------
% 1.34/0.54 % (15779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.54 % (15779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.54 % (15779)Termination reason: Unknown
% 1.34/0.54 % (15779)Termination phase: Saturation
% 1.34/0.54
% 1.34/0.54 % (15779)Memory used [KB]: 5884
% 1.34/0.54 % (15779)Time elapsed: 0.005 s
% 1.34/0.54 % (15779)Instructions burned: 3 (million)
% 1.34/0.54 % (15779)------------------------------
% 1.34/0.54 % (15779)------------------------------
% 1.34/0.54 % (15790)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.34/0.54 % (15786)Instruction limit reached!
% 1.34/0.54 % (15786)------------------------------
% 1.34/0.54 % (15786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.54 % (15785)Instruction limit reached!
% 1.34/0.54 % (15785)------------------------------
% 1.34/0.54 % (15785)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.54 % (15794)Refutation not found, incomplete strategy% (15794)------------------------------
% 1.34/0.54 % (15794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.54 % (15778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.54 % (15778)Termination reason: Unknown
% 1.34/0.54 % (15778)Termination phase: Saturation
% 1.34/0.54
% 1.34/0.54 % (15778)Memory used [KB]: 5884
% 1.34/0.54 % (15778)Time elapsed: 0.130 s
% 1.34/0.54 % (15778)Instructions burned: 5 (million)
% 1.34/0.54 % (15778)------------------------------
% 1.34/0.54 % (15778)------------------------------
% 1.34/0.54 % (15794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.54 % (15794)Termination reason: Refutation not found, incomplete strategy
% 1.34/0.54
% 1.34/0.54 % (15794)Memory used [KB]: 6012
% 1.34/0.54 % (15794)Time elapsed: 0.129 s
% 1.34/0.54 % (15794)Instructions burned: 5 (million)
% 1.34/0.54 % (15794)------------------------------
% 1.34/0.54 % (15794)------------------------------
% 1.34/0.54 % (15786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.54 % (15786)Termination reason: Unknown
% 1.34/0.54 % (15786)Termination phase: Saturation
% 1.34/0.54
% 1.34/0.54 % (15786)Memory used [KB]: 1407
% 1.34/0.54 % (15786)Time elapsed: 0.006 s
% 1.34/0.54 % (15786)Instructions burned: 8 (million)
% 1.34/0.54 % (15786)------------------------------
% 1.34/0.54 % (15786)------------------------------
% 1.34/0.55 % (15787)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 1.34/0.55 % (15789)Refutation not found, incomplete strategy% (15789)------------------------------
% 1.34/0.55 % (15789)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.55 % (15780)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 1.34/0.55 % (15769)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)
% 1.34/0.55 % (15785)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.55 % (15785)Termination reason: Unknown
% 1.34/0.55 % (15785)Termination phase: Saturation
% 1.34/0.55
% 1.34/0.55 % (15785)Memory used [KB]: 6012
% 1.34/0.55 % (15785)Time elapsed: 0.132 s
% 1.34/0.55 % (15785)Instructions burned: 7 (million)
% 1.34/0.55 % (15785)------------------------------
% 1.34/0.55 % (15785)------------------------------
% 1.34/0.55 % (15769)Refutation not found, incomplete strategy% (15769)------------------------------
% 1.34/0.55 % (15769)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.55 % (15769)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.55 % (15769)Termination reason: Refutation not found, incomplete strategy
% 1.34/0.55
% 1.34/0.55 % (15769)Memory used [KB]: 5884
% 1.34/0.55 % (15769)Time elapsed: 0.147 s
% 1.34/0.55 % (15769)Instructions burned: 5 (million)
% 1.34/0.55 % (15769)------------------------------
% 1.34/0.55 % (15769)------------------------------
% 1.34/0.55 % (15789)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.55 % (15789)Termination reason: Refutation not found, incomplete strategy
% 1.34/0.55
% 1.34/0.55 % (15789)Memory used [KB]: 5884
% 1.34/0.55 % (15789)Time elapsed: 0.100 s
% 1.34/0.55 % (15789)Instructions burned: 4 (million)
% 1.34/0.55 % (15789)------------------------------
% 1.34/0.55 % (15789)------------------------------
% 1.34/0.55 % (15784)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.34/0.55 % (15776)Instruction limit reached!
% 1.34/0.55 % (15776)------------------------------
% 1.34/0.55 % (15776)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.55 % (15776)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.55 % (15776)Termination reason: Unknown
% 1.34/0.55 % (15776)Termination phase: Saturation
% 1.34/0.55
% 1.34/0.55 % (15776)Memory used [KB]: 6012
% 1.34/0.55 % (15776)Time elapsed: 0.110 s
% 1.34/0.55 % (15776)Instructions burned: 7 (million)
% 1.34/0.55 % (15776)------------------------------
% 1.34/0.55 % (15776)------------------------------
% 1.34/0.56 % (15792)Refutation not found, incomplete strategy% (15792)------------------------------
% 1.34/0.56 % (15792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.56 % (15792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.56 % (15792)Termination reason: Refutation not found, incomplete strategy
% 1.34/0.56
% 1.34/0.56 % (15792)Memory used [KB]: 6012
% 1.34/0.56 % (15792)Time elapsed: 0.140 s
% 1.34/0.56 % (15792)Instructions burned: 5 (million)
% 1.34/0.56 % (15792)------------------------------
% 1.34/0.56 % (15792)------------------------------
% 1.34/0.56 % (15773)Refutation not found, incomplete strategy% (15773)------------------------------
% 1.34/0.56 % (15773)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.56 % (15773)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.56 % (15773)Termination reason: Refutation not found, incomplete strategy
% 1.34/0.56
% 1.34/0.56 % (15773)Memory used [KB]: 5884
% 1.34/0.56 % (15773)Time elapsed: 0.162 s
% 1.34/0.56 % (15773)Instructions burned: 5 (million)
% 1.34/0.56 % (15773)------------------------------
% 1.34/0.56 % (15773)------------------------------
% 1.34/0.56 % (15771)Instruction limit reached!
% 1.34/0.56 % (15771)------------------------------
% 1.34/0.56 % (15771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.56 % (15771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.56 % (15771)Termination reason: Unknown
% 1.34/0.56 % (15771)Termination phase: Saturation
% 1.34/0.56
% 1.34/0.56 % (15771)Memory used [KB]: 6268
% 1.34/0.56 % (15771)Time elapsed: 0.148 s
% 1.34/0.56 % (15771)Instructions burned: 25 (million)
% 1.34/0.56 % (15771)------------------------------
% 1.34/0.56 % (15771)------------------------------
% 1.34/0.56 % (15787)Refutation not found, incomplete strategy% (15787)------------------------------
% 1.34/0.56 % (15787)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.56 % (15787)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.56 % (15787)Termination reason: Refutation not found, incomplete strategy
% 1.34/0.56
% 1.34/0.56 % (15787)Memory used [KB]: 5884
% 1.34/0.56 % (15787)Time elapsed: 0.160 s
% 1.34/0.56 % (15787)Instructions burned: 3 (million)
% 1.34/0.56 % (15787)------------------------------
% 1.34/0.56 % (15787)------------------------------
% 1.34/0.57 % (15783)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.34/0.57 % (15791)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.34/0.57 % (15777)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 1.34/0.58 % (15767)Instruction limit reached!
% 1.34/0.58 % (15767)------------------------------
% 1.34/0.58 % (15767)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.59 % (15772)Instruction limit reached!
% 1.34/0.59 % (15772)------------------------------
% 1.34/0.59 % (15772)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.59 % (15783)Instruction limit reached!
% 1.34/0.59 % (15783)------------------------------
% 1.34/0.59 % (15783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.59 % (15783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.59 % (15783)Termination reason: Unknown
% 1.34/0.59 % (15783)Termination phase: Saturation
% 1.34/0.59
% 1.34/0.59 % (15783)Memory used [KB]: 6012
% 1.34/0.59 % (15783)Time elapsed: 0.181 s
% 1.34/0.59 % (15783)Instructions burned: 10 (million)
% 1.34/0.59 % (15783)------------------------------
% 1.34/0.59 % (15783)------------------------------
% 1.34/0.59 % (15767)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.59 % (15767)Termination reason: Unknown
% 1.34/0.59 % (15767)Termination phase: Saturation
% 1.34/0.59
% 1.34/0.59 % (15767)Memory used [KB]: 1791
% 1.34/0.59 % (15767)Time elapsed: 0.151 s
% 1.34/0.59 % (15767)Instructions burned: 43 (million)
% 1.34/0.59 % (15767)------------------------------
% 1.34/0.59 % (15767)------------------------------
% 1.34/0.59 % (15780)Instruction limit reached!
% 1.34/0.59 % (15780)------------------------------
% 1.34/0.59 % (15780)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.59 % (15780)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.59 % (15780)Termination reason: Unknown
% 1.34/0.59 % (15780)Termination phase: Saturation
% 1.34/0.59
% 1.34/0.59 % (15780)Memory used [KB]: 1663
% 1.34/0.59 % (15780)Time elapsed: 0.190 s
% 1.34/0.59 % (15780)Instructions burned: 29 (million)
% 1.34/0.59 % (15780)------------------------------
% 1.34/0.59 % (15780)------------------------------
% 1.34/0.60 % (15772)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.60 % (15772)Termination reason: Unknown
% 1.34/0.60 % (15772)Termination phase: Saturation
% 1.34/0.60
% 1.34/0.60 % (15772)Memory used [KB]: 1663
% 1.34/0.60 % (15772)Time elapsed: 0.166 s
% 1.34/0.60 % (15772)Instructions burned: 49 (million)
% 1.34/0.60 % (15772)------------------------------
% 1.34/0.60 % (15772)------------------------------
% 1.34/0.60 % (15791)Refutation not found, incomplete strategy% (15791)------------------------------
% 1.34/0.60 % (15791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.60 % (15791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.60 % (15791)Termination reason: Refutation not found, incomplete strategy
% 1.34/0.60
% 1.34/0.60 % (15791)Memory used [KB]: 6140
% 1.34/0.60 % (15791)Time elapsed: 0.198 s
% 1.34/0.60 % (15791)Instructions burned: 17 (million)
% 1.34/0.60 % (15791)------------------------------
% 1.34/0.60 % (15791)------------------------------
% 1.34/0.60 % (15790)Instruction limit reached!
% 1.34/0.60 % (15790)------------------------------
% 1.34/0.60 % (15790)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.60 % (15790)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.60 % (15790)Termination reason: Unknown
% 1.34/0.60 % (15790)Termination phase: Saturation
% 1.34/0.60
% 1.34/0.60 % (15790)Memory used [KB]: 6780
% 1.34/0.60 % (15790)Time elapsed: 0.190 s
% 1.34/0.60 % (15790)Instructions burned: 46 (million)
% 1.34/0.60 % (15790)------------------------------
% 1.34/0.60 % (15790)------------------------------
% 1.34/0.60 % (15777)Instruction limit reached!
% 1.34/0.60 % (15777)------------------------------
% 1.34/0.60 % (15777)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.60 % (15777)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.60 % (15777)Termination reason: Unknown
% 1.34/0.60 % (15777)Termination phase: Saturation
% 1.34/0.60
% 1.34/0.60 % (15777)Memory used [KB]: 6396
% 1.34/0.60 % (15777)Time elapsed: 0.189 s
% 1.34/0.60 % (15777)Instructions burned: 23 (million)
% 1.34/0.60 % (15777)------------------------------
% 1.34/0.60 % (15777)------------------------------
% 1.34/0.60 % (15766)First to succeed.
% 1.34/0.60 % (15784)Instruction limit reached!
% 1.34/0.60 % (15784)------------------------------
% 1.34/0.60 % (15784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.60 % (15784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.60 % (15784)Termination reason: Unknown
% 1.34/0.60 % (15784)Termination phase: Saturation
% 1.34/0.60
% 1.34/0.60 % (15784)Memory used [KB]: 10746
% 1.34/0.60 % (15784)Time elapsed: 0.181 s
% 1.34/0.60 % (15784)Instructions burned: 28 (million)
% 1.34/0.60 % (15784)------------------------------
% 1.34/0.60 % (15784)------------------------------
% 1.34/0.61 % (15766)Refutation found. Thanks to Tanya!
% 1.34/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.34/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.34/0.61 % (15766)------------------------------
% 1.34/0.61 % (15766)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.61 % (15766)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.61 % (15766)Termination reason: Refutation
% 1.34/0.61
% 1.34/0.61 % (15766)Memory used [KB]: 6396
% 1.34/0.61 % (15766)Time elapsed: 0.197 s
% 1.34/0.61 % (15766)Instructions burned: 38 (million)
% 1.34/0.61 % (15766)------------------------------
% 1.34/0.61 % (15766)------------------------------
% 1.34/0.61 % (15765)Success in time 0.244 s
%------------------------------------------------------------------------------