TSTP Solution File: GRP209-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP209-1 : 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 : n024.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 16:20:54 EDT 2022
% Result : Unsatisfiable 2.30s 0.67s
% Output : Refutation 2.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 72
% Syntax : Number of formulae : 328 ( 6 unt; 0 def)
% Number of atoms : 1135 ( 381 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 1586 ( 779 ~; 771 |; 0 &)
% ( 36 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 38 ( 36 usr; 37 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 95 ( 95 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f841,plain,
$false,
inference(avatar_sat_refutation,[],[f66,f75,f93,f102,f103,f123,f127,f132,f138,f139,f140,f141,f142,f147,f149,f151,f156,f157,f158,f159,f163,f164,f165,f166,f167,f168,f169,f170,f171,f173,f175,f176,f177,f178,f179,f183,f187,f206,f231,f241,f266,f282,f289,f311,f318,f346,f365,f380,f386,f401,f414,f513,f516,f537,f556,f584,f619,f650,f660,f669,f677,f691,f812,f818,f836,f838]) ).
fof(f838,plain,
( ~ spl4_9
| ~ spl4_21
| ~ spl4_26
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f837]) ).
fof(f837,plain,
( $false
| ~ spl4_9
| ~ spl4_21
| ~ spl4_26
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f830,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f830,plain,
( identity != multiply(identity,identity)
| ~ spl4_9
| ~ spl4_21
| ~ spl4_26
| ~ spl4_34 ),
inference(trivial_inequality_removal,[],[f825]) ).
fof(f825,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl4_9
| ~ spl4_21
| ~ spl4_26
| ~ spl4_34 ),
inference(superposition,[],[f824,f786]) ).
fof(f786,plain,
( identity = inverse(identity)
| ~ spl4_9
| ~ spl4_34 ),
inference(backward_demodulation,[],[f713,f783]) ).
fof(f783,plain,
( identity = sk_c3
| ~ spl4_9
| ~ spl4_34 ),
inference(superposition,[],[f1,f710]) ).
fof(f710,plain,
( identity = multiply(identity,sk_c3)
| ~ spl4_9
| ~ spl4_34 ),
inference(forward_demodulation,[],[f530,f273]) ).
fof(f273,plain,
( identity = sk_c10
| ~ spl4_34 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f272,plain,
( spl4_34
<=> identity = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_34])]) ).
fof(f530,plain,
( identity = multiply(sk_c10,sk_c3)
| ~ spl4_9 ),
inference(superposition,[],[f2,f97]) ).
fof(f97,plain,
( sk_c10 = inverse(sk_c3)
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl4_9
<=> sk_c10 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f713,plain,
( identity = inverse(sk_c3)
| ~ spl4_9
| ~ spl4_34 ),
inference(forward_demodulation,[],[f97,f273]) ).
fof(f824,plain,
( ! [X8] :
( identity != inverse(X8)
| identity != multiply(X8,identity) )
| ~ spl4_21
| ~ spl4_26
| ~ spl4_34 ),
inference(forward_demodulation,[],[f823,f229]) ).
fof(f229,plain,
( identity = sk_c9
| ~ spl4_26 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f228,plain,
( spl4_26
<=> identity = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_26])]) ).
fof(f823,plain,
( ! [X8] :
( identity != multiply(X8,identity)
| sk_c9 != inverse(X8) )
| ~ spl4_21
| ~ spl4_26
| ~ spl4_34 ),
inference(forward_demodulation,[],[f822,f273]) ).
fof(f822,plain,
( ! [X8] :
( sk_c10 != multiply(X8,identity)
| sk_c9 != inverse(X8) )
| ~ spl4_21
| ~ spl4_26 ),
inference(forward_demodulation,[],[f162,f229]) ).
fof(f162,plain,
( ! [X8] :
( sk_c10 != multiply(X8,sk_c9)
| sk_c9 != inverse(X8) )
| ~ spl4_21 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f161,plain,
( spl4_21
<=> ! [X8] :
( sk_c9 != inverse(X8)
| sk_c10 != multiply(X8,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).
fof(f836,plain,
( ~ spl4_2
| ~ spl4_18
| ~ spl4_21
| ~ spl4_26
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f835]) ).
fof(f835,plain,
( $false
| ~ spl4_2
| ~ spl4_18
| ~ spl4_21
| ~ spl4_26
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f831,f695]) ).
fof(f695,plain,
( identity = multiply(sk_c5,identity)
| ~ spl4_18
| ~ spl4_26
| ~ spl4_34 ),
inference(forward_demodulation,[],[f694,f273]) ).
fof(f694,plain,
( sk_c10 = multiply(sk_c5,identity)
| ~ spl4_18
| ~ spl4_26 ),
inference(forward_demodulation,[],[f137,f229]) ).
fof(f137,plain,
( sk_c10 = multiply(sk_c5,sk_c9)
| ~ spl4_18 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f135,plain,
( spl4_18
<=> sk_c10 = multiply(sk_c5,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).
fof(f831,plain,
( identity != multiply(sk_c5,identity)
| ~ spl4_2
| ~ spl4_21
| ~ spl4_26
| ~ spl4_34 ),
inference(trivial_inequality_removal,[],[f826]) ).
fof(f826,plain,
( identity != multiply(sk_c5,identity)
| identity != identity
| ~ spl4_2
| ~ spl4_21
| ~ spl4_26
| ~ spl4_34 ),
inference(superposition,[],[f824,f714]) ).
fof(f714,plain,
( identity = inverse(sk_c5)
| ~ spl4_2
| ~ spl4_34 ),
inference(forward_demodulation,[],[f65,f273]) ).
fof(f65,plain,
( sk_c10 = inverse(sk_c5)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl4_2
<=> sk_c10 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f818,plain,
( ~ spl4_9
| ~ spl4_22
| ~ spl4_26
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f817]) ).
fof(f817,plain,
( $false
| ~ spl4_9
| ~ spl4_22
| ~ spl4_26
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f816,f1]) ).
fof(f816,plain,
( identity != multiply(identity,identity)
| ~ spl4_9
| ~ spl4_22
| ~ spl4_26
| ~ spl4_34 ),
inference(forward_demodulation,[],[f807,f1]) ).
fof(f807,plain,
( identity != multiply(identity,multiply(identity,identity))
| ~ spl4_9
| ~ spl4_22
| ~ spl4_26
| ~ spl4_34 ),
inference(trivial_inequality_removal,[],[f802]) ).
fof(f802,plain,
( identity != multiply(identity,multiply(identity,identity))
| identity != identity
| ~ spl4_9
| ~ spl4_22
| ~ spl4_26
| ~ spl4_34 ),
inference(superposition,[],[f707,f786]) ).
fof(f707,plain,
( ! [X6] :
( identity != inverse(X6)
| identity != multiply(identity,multiply(X6,identity)) )
| ~ spl4_22
| ~ spl4_26
| ~ spl4_34 ),
inference(forward_demodulation,[],[f706,f273]) ).
fof(f706,plain,
( ! [X6] :
( identity != multiply(identity,multiply(X6,identity))
| sk_c10 != inverse(X6) )
| ~ spl4_22
| ~ spl4_26
| ~ spl4_34 ),
inference(forward_demodulation,[],[f705,f229]) ).
fof(f705,plain,
( ! [X6] :
( sk_c9 != multiply(identity,multiply(X6,identity))
| sk_c10 != inverse(X6) )
| ~ spl4_22
| ~ spl4_34 ),
inference(forward_demodulation,[],[f186,f273]) ).
fof(f186,plain,
( ! [X6] :
( sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c10 != inverse(X6) )
| ~ spl4_22 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f185,plain,
( spl4_22
<=> ! [X6] :
( sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c10 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).
fof(f812,plain,
( ~ spl4_2
| ~ spl4_18
| ~ spl4_22
| ~ spl4_26
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f811]) ).
fof(f811,plain,
( $false
| ~ spl4_2
| ~ spl4_18
| ~ spl4_22
| ~ spl4_26
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f810,f1]) ).
fof(f810,plain,
( identity != multiply(identity,identity)
| ~ spl4_2
| ~ spl4_18
| ~ spl4_22
| ~ spl4_26
| ~ spl4_34 ),
inference(forward_demodulation,[],[f809,f695]) ).
fof(f809,plain,
( identity != multiply(identity,multiply(sk_c5,identity))
| ~ spl4_2
| ~ spl4_22
| ~ spl4_26
| ~ spl4_34 ),
inference(trivial_inequality_removal,[],[f803]) ).
fof(f803,plain,
( identity != multiply(identity,multiply(sk_c5,identity))
| identity != identity
| ~ spl4_2
| ~ spl4_22
| ~ spl4_26
| ~ spl4_34 ),
inference(superposition,[],[f707,f714]) ).
fof(f691,plain,
( ~ spl4_1
| ~ spl4_8
| ~ spl4_17
| spl4_25
| ~ spl4_26
| ~ spl4_28
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f690]) ).
fof(f690,plain,
( $false
| ~ spl4_1
| ~ spl4_8
| ~ spl4_17
| spl4_25
| ~ spl4_26
| ~ spl4_28
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f688,f1]) ).
fof(f688,plain,
( identity != multiply(identity,identity)
| ~ spl4_1
| ~ spl4_8
| ~ spl4_17
| spl4_25
| ~ spl4_26
| ~ spl4_28
| ~ spl4_34 ),
inference(backward_demodulation,[],[f678,f686]) ).
fof(f686,plain,
( identity = inverse(identity)
| ~ spl4_1
| ~ spl4_8
| ~ spl4_17
| ~ spl4_26
| ~ spl4_28 ),
inference(backward_demodulation,[],[f589,f681]) ).
fof(f681,plain,
( identity = sk_c1
| ~ spl4_1
| ~ spl4_8
| ~ spl4_17
| ~ spl4_26
| ~ spl4_28 ),
inference(superposition,[],[f591,f1]) ).
fof(f591,plain,
( identity = multiply(identity,sk_c1)
| ~ spl4_1
| ~ spl4_8
| ~ spl4_17
| ~ spl4_26
| ~ spl4_28 ),
inference(backward_demodulation,[],[f455,f588]) ).
fof(f588,plain,
( identity = sk_c2
| ~ spl4_1
| ~ spl4_8
| ~ spl4_17
| ~ spl4_26
| ~ spl4_28 ),
inference(backward_demodulation,[],[f567,f229]) ).
fof(f567,plain,
( sk_c2 = sk_c9
| ~ spl4_1
| ~ spl4_8
| ~ spl4_17
| ~ spl4_28 ),
inference(backward_demodulation,[],[f239,f563]) ).
fof(f563,plain,
( sk_c2 = sk_c10
| ~ spl4_1
| ~ spl4_8
| ~ spl4_17
| ~ spl4_28 ),
inference(backward_demodulation,[],[f540,f562]) ).
fof(f562,plain,
( sk_c2 = multiply(sk_c2,sk_c10)
| ~ spl4_1
| ~ spl4_8 ),
inference(forward_demodulation,[],[f560,f61]) ).
fof(f61,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl4_1
<=> sk_c2 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f560,plain,
( sk_c2 = multiply(inverse(sk_c1),sk_c10)
| ~ spl4_8 ),
inference(superposition,[],[f218,f92]) ).
fof(f92,plain,
( multiply(sk_c1,sk_c2) = sk_c10
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f90,plain,
( spl4_8
<=> multiply(sk_c1,sk_c2) = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f218,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f209,f1]) ).
fof(f209,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(f540,plain,
( sk_c10 = multiply(sk_c2,sk_c10)
| ~ spl4_17
| ~ spl4_28 ),
inference(backward_demodulation,[],[f131,f239]) ).
fof(f131,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| ~ spl4_17 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl4_17
<=> sk_c10 = multiply(sk_c2,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
fof(f239,plain,
( sk_c10 = sk_c9
| ~ spl4_28 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f238,plain,
( spl4_28
<=> sk_c10 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_28])]) ).
fof(f455,plain,
( identity = multiply(sk_c2,sk_c1)
| ~ spl4_1 ),
inference(superposition,[],[f2,f61]) ).
fof(f589,plain,
( identity = inverse(sk_c1)
| ~ spl4_1
| ~ spl4_8
| ~ spl4_17
| ~ spl4_26
| ~ spl4_28 ),
inference(backward_demodulation,[],[f61,f588]) ).
fof(f678,plain,
( identity != multiply(identity,inverse(identity))
| spl4_25
| ~ spl4_26
| ~ spl4_34 ),
inference(forward_demodulation,[],[f674,f229]) ).
fof(f674,plain,
( sk_c9 != multiply(identity,inverse(identity))
| spl4_25
| ~ spl4_34 ),
inference(forward_demodulation,[],[f226,f273]) ).
fof(f226,plain,
( sk_c9 != multiply(sk_c10,inverse(sk_c10))
| spl4_25 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f224,plain,
( spl4_25
<=> sk_c9 = multiply(sk_c10,inverse(sk_c10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_25])]) ).
fof(f677,plain,
( spl4_25
| ~ spl4_26
| ~ spl4_33
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f676]) ).
fof(f676,plain,
( $false
| spl4_25
| ~ spl4_26
| ~ spl4_33
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f675,f229]) ).
fof(f675,plain,
( identity != sk_c9
| spl4_25
| ~ spl4_26
| ~ spl4_33
| ~ spl4_34 ),
inference(forward_demodulation,[],[f674,f624]) ).
fof(f624,plain,
( identity = multiply(identity,inverse(identity))
| ~ spl4_26
| ~ spl4_33
| ~ spl4_34 ),
inference(backward_demodulation,[],[f614,f273]) ).
fof(f614,plain,
( sk_c10 = multiply(identity,inverse(identity))
| ~ spl4_26
| ~ spl4_33 ),
inference(forward_demodulation,[],[f269,f229]) ).
fof(f269,plain,
( sk_c10 = multiply(sk_c9,inverse(sk_c9))
| ~ spl4_33 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f268,plain,
( spl4_33
<=> sk_c10 = multiply(sk_c9,inverse(sk_c9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_33])]) ).
fof(f669,plain,
( ~ spl4_1
| ~ spl4_8
| ~ spl4_17
| ~ spl4_21
| ~ spl4_26
| ~ spl4_28
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f668]) ).
fof(f668,plain,
( $false
| ~ spl4_1
| ~ spl4_8
| ~ spl4_17
| ~ spl4_21
| ~ spl4_26
| ~ spl4_28
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f667,f612]) ).
fof(f612,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl4_1
| ~ spl4_8
| ~ spl4_17
| ~ spl4_26
| ~ spl4_28 ),
inference(forward_demodulation,[],[f606,f1]) ).
fof(f606,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(identity,X0))
| ~ spl4_1
| ~ spl4_8
| ~ spl4_17
| ~ spl4_26
| ~ spl4_28 ),
inference(backward_demodulation,[],[f585,f588]) ).
fof(f585,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = multiply(sk_c2,X0)
| ~ spl4_1
| ~ spl4_8
| ~ spl4_17
| ~ spl4_28 ),
inference(forward_demodulation,[],[f561,f563]) ).
fof(f561,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = multiply(sk_c10,X0)
| ~ spl4_8 ),
inference(superposition,[],[f3,f92]) ).
fof(f667,plain,
( identity != multiply(sk_c1,identity)
| ~ spl4_1
| ~ spl4_8
| ~ spl4_17
| ~ spl4_21
| ~ spl4_26
| ~ spl4_28
| ~ spl4_34 ),
inference(trivial_inequality_removal,[],[f664]) ).
fof(f664,plain,
( identity != multiply(sk_c1,identity)
| identity != identity
| ~ spl4_1
| ~ spl4_8
| ~ spl4_17
| ~ spl4_21
| ~ spl4_26
| ~ spl4_28
| ~ spl4_34 ),
inference(superposition,[],[f663,f589]) ).
fof(f663,plain,
( ! [X8] :
( identity != inverse(X8)
| identity != multiply(X8,identity) )
| ~ spl4_21
| ~ spl4_26
| ~ spl4_34 ),
inference(forward_demodulation,[],[f662,f229]) ).
fof(f662,plain,
( ! [X8] :
( sk_c9 != inverse(X8)
| identity != multiply(X8,identity) )
| ~ spl4_21
| ~ spl4_26
| ~ spl4_34 ),
inference(forward_demodulation,[],[f661,f273]) ).
fof(f661,plain,
( ! [X8] :
( sk_c10 != multiply(X8,identity)
| sk_c9 != inverse(X8) )
| ~ spl4_21
| ~ spl4_26 ),
inference(forward_demodulation,[],[f162,f229]) ).
fof(f660,plain,
( ~ spl4_1
| ~ spl4_8
| ~ spl4_15
| ~ spl4_17
| ~ spl4_26
| ~ spl4_28
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f659]) ).
fof(f659,plain,
( $false
| ~ spl4_1
| ~ spl4_8
| ~ spl4_15
| ~ spl4_17
| ~ spl4_26
| ~ spl4_28
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f658,f612]) ).
fof(f658,plain,
( identity != multiply(sk_c1,identity)
| ~ spl4_1
| ~ spl4_8
| ~ spl4_15
| ~ spl4_17
| ~ spl4_26
| ~ spl4_28
| ~ spl4_34 ),
inference(trivial_inequality_removal,[],[f655]) ).
fof(f655,plain,
( identity != multiply(sk_c1,identity)
| identity != identity
| ~ spl4_1
| ~ spl4_8
| ~ spl4_15
| ~ spl4_17
| ~ spl4_26
| ~ spl4_28
| ~ spl4_34 ),
inference(superposition,[],[f654,f589]) ).
fof(f654,plain,
( ! [X7] :
( identity != inverse(X7)
| identity != multiply(X7,identity) )
| ~ spl4_15
| ~ spl4_26
| ~ spl4_34 ),
inference(forward_demodulation,[],[f653,f273]) ).
fof(f653,plain,
( ! [X7] :
( sk_c10 != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl4_15
| ~ spl4_26
| ~ spl4_34 ),
inference(forward_demodulation,[],[f652,f229]) ).
fof(f652,plain,
( ! [X7] :
( sk_c10 != multiply(X7,sk_c9)
| identity != inverse(X7) )
| ~ spl4_15
| ~ spl4_34 ),
inference(forward_demodulation,[],[f122,f273]) ).
fof(f122,plain,
( ! [X7] :
( sk_c10 != inverse(X7)
| sk_c10 != multiply(X7,sk_c9) )
| ~ spl4_15 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f121,plain,
( spl4_15
<=> ! [X7] :
( sk_c10 != inverse(X7)
| sk_c10 != multiply(X7,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
fof(f650,plain,
( ~ spl4_1
| ~ spl4_8
| ~ spl4_17
| ~ spl4_22
| ~ spl4_26
| ~ spl4_28
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f649]) ).
fof(f649,plain,
( $false
| ~ spl4_1
| ~ spl4_8
| ~ spl4_17
| ~ spl4_22
| ~ spl4_26
| ~ spl4_28
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f648,f1]) ).
fof(f648,plain,
( identity != multiply(identity,identity)
| ~ spl4_1
| ~ spl4_8
| ~ spl4_17
| ~ spl4_22
| ~ spl4_26
| ~ spl4_28
| ~ spl4_34 ),
inference(forward_demodulation,[],[f643,f612]) ).
fof(f643,plain,
( identity != multiply(identity,multiply(sk_c1,identity))
| ~ spl4_1
| ~ spl4_8
| ~ spl4_17
| ~ spl4_22
| ~ spl4_26
| ~ spl4_28
| ~ spl4_34 ),
inference(trivial_inequality_removal,[],[f641]) ).
fof(f641,plain,
( identity != multiply(identity,multiply(sk_c1,identity))
| identity != identity
| ~ spl4_1
| ~ spl4_8
| ~ spl4_17
| ~ spl4_22
| ~ spl4_26
| ~ spl4_28
| ~ spl4_34 ),
inference(superposition,[],[f625,f589]) ).
fof(f625,plain,
( ! [X6] :
( identity != inverse(X6)
| identity != multiply(identity,multiply(X6,identity)) )
| ~ spl4_22
| ~ spl4_26
| ~ spl4_34 ),
inference(forward_demodulation,[],[f621,f273]) ).
fof(f621,plain,
( ! [X6] :
( identity != inverse(X6)
| identity != multiply(sk_c10,multiply(X6,sk_c10)) )
| ~ spl4_22
| ~ spl4_26
| ~ spl4_34 ),
inference(backward_demodulation,[],[f616,f273]) ).
fof(f616,plain,
( ! [X6] :
( identity != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c10 != inverse(X6) )
| ~ spl4_22
| ~ spl4_26 ),
inference(forward_demodulation,[],[f186,f229]) ).
fof(f619,plain,
( ~ spl4_34
| ~ spl4_26
| ~ spl4_28
| ~ spl4_29
| spl4_31 ),
inference(avatar_split_clause,[],[f618,f259,f246,f238,f228,f272]) ).
fof(f246,plain,
( spl4_29
<=> sk_c9 = multiply(sk_c10,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).
fof(f259,plain,
( spl4_31
<=> sk_c10 = multiply(sk_c10,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_31])]) ).
fof(f618,plain,
( identity != sk_c10
| ~ spl4_26
| ~ spl4_28
| ~ spl4_29
| spl4_31 ),
inference(backward_demodulation,[],[f559,f617]) ).
fof(f617,plain,
( identity = multiply(sk_c10,sk_c10)
| ~ spl4_26
| ~ spl4_29 ),
inference(forward_demodulation,[],[f247,f229]) ).
fof(f247,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl4_29 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f559,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl4_28
| spl4_31 ),
inference(forward_demodulation,[],[f261,f239]) ).
fof(f261,plain,
( sk_c10 != multiply(sk_c10,sk_c9)
| spl4_31 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f584,plain,
( ~ spl4_1
| ~ spl4_8
| ~ spl4_17
| spl4_27
| ~ spl4_28 ),
inference(avatar_contradiction_clause,[],[f583]) ).
fof(f583,plain,
( $false
| ~ spl4_1
| ~ spl4_8
| ~ spl4_17
| spl4_27
| ~ spl4_28 ),
inference(subsumption_resolution,[],[f577,f581]) ).
fof(f581,plain,
( sk_c2 = multiply(sk_c2,sk_c2)
| ~ spl4_1
| ~ spl4_8
| ~ spl4_17
| ~ spl4_28 ),
inference(backward_demodulation,[],[f562,f563]) ).
fof(f577,plain,
( sk_c2 != multiply(sk_c2,sk_c2)
| ~ spl4_1
| ~ spl4_8
| ~ spl4_17
| spl4_27
| ~ spl4_28 ),
inference(backward_demodulation,[],[f546,f563]) ).
fof(f546,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| spl4_27
| ~ spl4_28 ),
inference(backward_demodulation,[],[f236,f239]) ).
fof(f236,plain,
( sk_c9 != multiply(sk_c9,sk_c10)
| spl4_27 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f234,plain,
( spl4_27
<=> sk_c9 = multiply(sk_c9,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_27])]) ).
fof(f556,plain,
( ~ spl4_19
| ~ spl4_28
| spl4_35 ),
inference(avatar_contradiction_clause,[],[f555]) ).
fof(f555,plain,
( $false
| ~ spl4_19
| ~ spl4_28
| spl4_35 ),
inference(subsumption_resolution,[],[f554,f542]) ).
fof(f542,plain,
( sk_c10 = multiply(sk_c8,sk_c10)
| ~ spl4_19
| ~ spl4_28 ),
inference(backward_demodulation,[],[f146,f239]) ).
fof(f146,plain,
( sk_c9 = multiply(sk_c8,sk_c10)
| ~ spl4_19 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f144,plain,
( spl4_19
<=> sk_c9 = multiply(sk_c8,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).
fof(f554,plain,
( sk_c10 != multiply(sk_c8,sk_c10)
| ~ spl4_28
| spl4_35 ),
inference(forward_demodulation,[],[f281,f239]) ).
fof(f281,plain,
( sk_c10 != multiply(sk_c8,sk_c9)
| spl4_35 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f279,plain,
( spl4_35
<=> sk_c10 = multiply(sk_c8,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_35])]) ).
fof(f537,plain,
( spl4_28
| ~ spl4_3
| ~ spl4_5
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f534,f95,f77,f68,f238]) ).
fof(f68,plain,
( spl4_3
<=> sk_c4 = multiply(sk_c3,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f77,plain,
( spl4_5
<=> sk_c9 = multiply(sk_c10,sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f534,plain,
( sk_c10 = sk_c9
| ~ spl4_3
| ~ spl4_5
| ~ spl4_9 ),
inference(backward_demodulation,[],[f79,f533]) ).
fof(f533,plain,
( sk_c10 = multiply(sk_c10,sk_c4)
| ~ spl4_3
| ~ spl4_9 ),
inference(forward_demodulation,[],[f531,f97]) ).
fof(f531,plain,
( sk_c10 = multiply(inverse(sk_c3),sk_c4)
| ~ spl4_3 ),
inference(superposition,[],[f218,f70]) ).
fof(f70,plain,
( sk_c4 = multiply(sk_c3,sk_c10)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f79,plain,
( sk_c9 = multiply(sk_c10,sk_c4)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f516,plain,
( ~ spl4_26
| spl4_29
| ~ spl4_34 ),
inference(avatar_split_clause,[],[f515,f272,f246,f228]) ).
fof(f515,plain,
( identity != sk_c9
| spl4_29
| ~ spl4_34 ),
inference(forward_demodulation,[],[f514,f1]) ).
fof(f514,plain,
( sk_c9 != multiply(identity,identity)
| spl4_29
| ~ spl4_34 ),
inference(forward_demodulation,[],[f248,f273]) ).
fof(f248,plain,
( sk_c9 != multiply(sk_c10,sk_c10)
| spl4_29 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f513,plain,
( ~ spl4_3
| ~ spl4_5
| ~ spl4_9
| ~ spl4_20
| ~ spl4_26
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f512]) ).
fof(f512,plain,
( $false
| ~ spl4_3
| ~ spl4_5
| ~ spl4_9
| ~ spl4_20
| ~ spl4_26
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f511,f471]) ).
fof(f471,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl4_3
| ~ spl4_5
| ~ spl4_26
| ~ spl4_34 ),
inference(forward_demodulation,[],[f468,f1]) ).
fof(f468,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c3,X0)
| ~ spl4_3
| ~ spl4_5
| ~ spl4_26
| ~ spl4_34 ),
inference(backward_demodulation,[],[f461,f464]) ).
fof(f464,plain,
( identity = sk_c4
| ~ spl4_5
| ~ spl4_26
| ~ spl4_34 ),
inference(superposition,[],[f1,f420]) ).
fof(f420,plain,
( identity = multiply(identity,sk_c4)
| ~ spl4_5
| ~ spl4_26
| ~ spl4_34 ),
inference(forward_demodulation,[],[f419,f229]) ).
fof(f419,plain,
( sk_c9 = multiply(identity,sk_c4)
| ~ spl4_5
| ~ spl4_34 ),
inference(forward_demodulation,[],[f79,f273]) ).
fof(f461,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c3,X0)
| ~ spl4_3
| ~ spl4_34 ),
inference(forward_demodulation,[],[f459,f1]) ).
fof(f459,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c3,multiply(identity,X0))
| ~ spl4_3
| ~ spl4_34 ),
inference(superposition,[],[f3,f415]) ).
fof(f415,plain,
( sk_c4 = multiply(sk_c3,identity)
| ~ spl4_3
| ~ spl4_34 ),
inference(forward_demodulation,[],[f70,f273]) ).
fof(f511,plain,
( identity != multiply(sk_c3,identity)
| ~ spl4_9
| ~ spl4_20
| ~ spl4_26
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f504,f1]) ).
fof(f504,plain,
( identity != multiply(identity,identity)
| identity != multiply(sk_c3,identity)
| ~ spl4_9
| ~ spl4_20
| ~ spl4_26
| ~ spl4_34 ),
inference(superposition,[],[f395,f446]) ).
fof(f446,plain,
( identity = inverse(sk_c3)
| ~ spl4_9
| ~ spl4_34 ),
inference(forward_demodulation,[],[f97,f273]) ).
fof(f395,plain,
( ! [X3] :
( identity != multiply(inverse(X3),identity)
| identity != multiply(X3,inverse(X3)) )
| ~ spl4_20
| ~ spl4_26
| ~ spl4_34 ),
inference(backward_demodulation,[],[f347,f229]) ).
fof(f347,plain,
( ! [X3] :
( identity != multiply(inverse(X3),sk_c9)
| identity != multiply(X3,inverse(X3)) )
| ~ spl4_20
| ~ spl4_34 ),
inference(forward_demodulation,[],[f323,f273]) ).
fof(f323,plain,
( ! [X3] :
( sk_c10 != multiply(inverse(X3),sk_c9)
| identity != multiply(X3,inverse(X3)) )
| ~ spl4_20
| ~ spl4_34 ),
inference(backward_demodulation,[],[f155,f273]) ).
fof(f155,plain,
( ! [X3] :
( sk_c10 != multiply(inverse(X3),sk_c9)
| sk_c10 != multiply(X3,inverse(X3)) )
| ~ spl4_20 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f154,plain,
( spl4_20
<=> ! [X3] :
( sk_c10 != multiply(X3,inverse(X3))
| sk_c10 != multiply(inverse(X3),sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).
fof(f414,plain,
( ~ spl4_2
| spl4_32
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f413]) ).
fof(f413,plain,
( $false
| ~ spl4_2
| spl4_32
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f412,f1]) ).
fof(f412,plain,
( identity != multiply(identity,identity)
| ~ spl4_2
| spl4_32
| ~ spl4_34 ),
inference(forward_demodulation,[],[f411,f370]) ).
fof(f370,plain,
( identity = sk_c5
| ~ spl4_2
| ~ spl4_34 ),
inference(forward_demodulation,[],[f335,f2]) ).
fof(f335,plain,
( sk_c5 = multiply(inverse(identity),identity)
| ~ spl4_2
| ~ spl4_34 ),
inference(backward_demodulation,[],[f299,f273]) ).
fof(f299,plain,
( sk_c5 = multiply(inverse(sk_c10),identity)
| ~ spl4_2 ),
inference(superposition,[],[f218,f188]) ).
fof(f188,plain,
( identity = multiply(sk_c10,sk_c5)
| ~ spl4_2 ),
inference(superposition,[],[f2,f65]) ).
fof(f411,plain,
( identity != multiply(sk_c5,identity)
| spl4_32
| ~ spl4_34 ),
inference(forward_demodulation,[],[f265,f273]) ).
fof(f265,plain,
( sk_c10 != multiply(sk_c5,sk_c10)
| spl4_32 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f263,plain,
( spl4_32
<=> sk_c10 = multiply(sk_c5,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_32])]) ).
fof(f401,plain,
( ~ spl4_2
| ~ spl4_26
| spl4_33
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f400]) ).
fof(f400,plain,
( $false
| ~ spl4_2
| ~ spl4_26
| spl4_33
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f399,f1]) ).
fof(f399,plain,
( identity != multiply(identity,identity)
| ~ spl4_2
| ~ spl4_26
| spl4_33
| ~ spl4_34 ),
inference(forward_demodulation,[],[f398,f372]) ).
fof(f372,plain,
( identity = inverse(identity)
| ~ spl4_2
| ~ spl4_34 ),
inference(backward_demodulation,[],[f319,f370]) ).
fof(f319,plain,
( identity = inverse(sk_c5)
| ~ spl4_2
| ~ spl4_34 ),
inference(backward_demodulation,[],[f65,f273]) ).
fof(f398,plain,
( identity != multiply(identity,inverse(identity))
| ~ spl4_26
| spl4_33
| ~ spl4_34 ),
inference(backward_demodulation,[],[f384,f229]) ).
fof(f384,plain,
( identity != multiply(sk_c9,inverse(sk_c9))
| spl4_33
| ~ spl4_34 ),
inference(forward_demodulation,[],[f270,f273]) ).
fof(f270,plain,
( sk_c10 != multiply(sk_c9,inverse(sk_c9))
| spl4_33 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f386,plain,
( spl4_26
| ~ spl4_28
| ~ spl4_34 ),
inference(avatar_split_clause,[],[f385,f272,f238,f228]) ).
fof(f385,plain,
( identity = sk_c9
| ~ spl4_28
| ~ spl4_34 ),
inference(forward_demodulation,[],[f239,f273]) ).
fof(f380,plain,
( ~ spl4_2
| ~ spl4_29
| spl4_31
| ~ spl4_34 ),
inference(avatar_contradiction_clause,[],[f379]) ).
fof(f379,plain,
( $false
| ~ spl4_2
| ~ spl4_29
| spl4_31
| ~ spl4_34 ),
inference(subsumption_resolution,[],[f332,f375]) ).
fof(f375,plain,
( identity = multiply(identity,sk_c9)
| ~ spl4_2
| ~ spl4_29
| ~ spl4_34 ),
inference(backward_demodulation,[],[f337,f372]) ).
fof(f337,plain,
( identity = multiply(inverse(identity),sk_c9)
| ~ spl4_29
| ~ spl4_34 ),
inference(backward_demodulation,[],[f301,f273]) ).
fof(f301,plain,
( sk_c10 = multiply(inverse(sk_c10),sk_c9)
| ~ spl4_29 ),
inference(superposition,[],[f218,f247]) ).
fof(f332,plain,
( identity != multiply(identity,sk_c9)
| spl4_31
| ~ spl4_34 ),
inference(backward_demodulation,[],[f261,f273]) ).
fof(f365,plain,
( ~ spl4_26
| spl4_28
| ~ spl4_34 ),
inference(avatar_split_clause,[],[f330,f272,f238,f228]) ).
fof(f330,plain,
( identity != sk_c9
| spl4_28
| ~ spl4_34 ),
inference(backward_demodulation,[],[f240,f273]) ).
fof(f240,plain,
( sk_c10 != sk_c9
| spl4_28 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f346,plain,
( spl4_26
| ~ spl4_27
| ~ spl4_29
| ~ spl4_34 ),
inference(avatar_split_clause,[],[f345,f272,f246,f234,f228]) ).
fof(f345,plain,
( identity = sk_c9
| ~ spl4_27
| ~ spl4_29
| ~ spl4_34 ),
inference(forward_demodulation,[],[f329,f341]) ).
fof(f341,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl4_29
| ~ spl4_34 ),
inference(forward_demodulation,[],[f340,f1]) ).
fof(f340,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,X0)
| ~ spl4_29
| ~ spl4_34 ),
inference(forward_demodulation,[],[f334,f1]) ).
fof(f334,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(identity,multiply(identity,X0))
| ~ spl4_29
| ~ spl4_34 ),
inference(backward_demodulation,[],[f291,f273]) ).
fof(f291,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c10,multiply(sk_c10,X0))
| ~ spl4_29 ),
inference(superposition,[],[f3,f247]) ).
fof(f329,plain,
( sk_c9 = multiply(sk_c9,identity)
| ~ spl4_27
| ~ spl4_34 ),
inference(backward_demodulation,[],[f235,f273]) ).
fof(f235,plain,
( sk_c9 = multiply(sk_c9,sk_c10)
| ~ spl4_27 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f318,plain,
( ~ spl4_27
| spl4_34 ),
inference(avatar_contradiction_clause,[],[f317]) ).
fof(f317,plain,
( $false
| ~ spl4_27
| spl4_34 ),
inference(subsumption_resolution,[],[f316,f274]) ).
fof(f274,plain,
( identity != sk_c10
| spl4_34 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f316,plain,
( identity = sk_c10
| ~ spl4_27 ),
inference(forward_demodulation,[],[f314,f2]) ).
fof(f314,plain,
( sk_c10 = multiply(inverse(sk_c9),sk_c9)
| ~ spl4_27 ),
inference(superposition,[],[f218,f235]) ).
fof(f311,plain,
( spl4_27
| ~ spl4_7
| ~ spl4_10 ),
inference(avatar_split_clause,[],[f310,f99,f86,f234]) ).
fof(f86,plain,
( spl4_7
<=> sk_c10 = multiply(sk_c6,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f99,plain,
( spl4_10
<=> sk_c9 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f310,plain,
( sk_c9 = multiply(sk_c9,sk_c10)
| ~ spl4_7
| ~ spl4_10 ),
inference(forward_demodulation,[],[f304,f101]) ).
fof(f101,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f304,plain,
( sk_c9 = multiply(inverse(sk_c6),sk_c10)
| ~ spl4_7 ),
inference(superposition,[],[f218,f88]) ).
fof(f88,plain,
( sk_c10 = multiply(sk_c6,sk_c9)
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f289,plain,
( spl4_29
| ~ spl4_2
| ~ spl4_18 ),
inference(avatar_split_clause,[],[f287,f135,f63,f246]) ).
fof(f287,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl4_2
| ~ spl4_18 ),
inference(superposition,[],[f217,f137]) ).
fof(f217,plain,
( ! [X8] : multiply(sk_c10,multiply(sk_c5,X8)) = X8
| ~ spl4_2 ),
inference(forward_demodulation,[],[f210,f1]) ).
fof(f210,plain,
( ! [X8] : multiply(sk_c10,multiply(sk_c5,X8)) = multiply(identity,X8)
| ~ spl4_2 ),
inference(superposition,[],[f3,f188]) ).
fof(f282,plain,
( ~ spl4_28
| ~ spl4_35
| ~ spl4_4
| ~ spl4_6
| ~ spl4_20 ),
inference(avatar_split_clause,[],[f277,f154,f81,f72,f279,f238]) ).
fof(f72,plain,
( spl4_4
<=> sk_c9 = multiply(sk_c7,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f81,plain,
( spl4_6
<=> sk_c8 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f277,plain,
( sk_c10 != multiply(sk_c8,sk_c9)
| sk_c10 != sk_c9
| ~ spl4_4
| ~ spl4_6
| ~ spl4_20 ),
inference(forward_demodulation,[],[f255,f74]) ).
fof(f74,plain,
( sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f255,plain,
( sk_c10 != multiply(sk_c8,sk_c9)
| sk_c10 != multiply(sk_c7,sk_c8)
| ~ spl4_6
| ~ spl4_20 ),
inference(superposition,[],[f155,f83]) ).
fof(f83,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f266,plain,
( ~ spl4_31
| ~ spl4_32
| ~ spl4_2
| ~ spl4_20 ),
inference(avatar_split_clause,[],[f254,f154,f63,f263,f259]) ).
fof(f254,plain,
( sk_c10 != multiply(sk_c5,sk_c10)
| sk_c10 != multiply(sk_c10,sk_c9)
| ~ spl4_2
| ~ spl4_20 ),
inference(superposition,[],[f155,f65]) ).
fof(f241,plain,
( ~ spl4_27
| ~ spl4_28
| ~ spl4_7
| ~ spl4_10
| ~ spl4_16 ),
inference(avatar_split_clause,[],[f232,f125,f99,f86,f238,f234]) ).
fof(f125,plain,
( spl4_16
<=> ! [X9] :
( sk_c9 != multiply(X9,inverse(X9))
| sk_c9 != multiply(inverse(X9),sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).
fof(f232,plain,
( sk_c10 != sk_c9
| sk_c9 != multiply(sk_c9,sk_c10)
| ~ spl4_7
| ~ spl4_10
| ~ spl4_16 ),
inference(forward_demodulation,[],[f221,f88]) ).
fof(f221,plain,
( sk_c9 != multiply(sk_c9,sk_c10)
| sk_c9 != multiply(sk_c6,sk_c9)
| ~ spl4_10
| ~ spl4_16 ),
inference(superposition,[],[f126,f101]) ).
fof(f126,plain,
( ! [X9] :
( sk_c9 != multiply(inverse(X9),sk_c10)
| sk_c9 != multiply(X9,inverse(X9)) )
| ~ spl4_16 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f231,plain,
( ~ spl4_25
| ~ spl4_26
| ~ spl4_16 ),
inference(avatar_split_clause,[],[f222,f125,f228,f224]) ).
fof(f222,plain,
( identity != sk_c9
| sk_c9 != multiply(sk_c10,inverse(sk_c10))
| ~ spl4_16 ),
inference(superposition,[],[f126,f2]) ).
fof(f206,plain,
( ~ spl4_2
| ~ spl4_15
| ~ spl4_18 ),
inference(avatar_contradiction_clause,[],[f205]) ).
fof(f205,plain,
( $false
| ~ spl4_2
| ~ spl4_15
| ~ spl4_18 ),
inference(subsumption_resolution,[],[f194,f137]) ).
fof(f194,plain,
( sk_c10 != multiply(sk_c5,sk_c9)
| ~ spl4_2
| ~ spl4_15 ),
inference(trivial_inequality_removal,[],[f191]) ).
fof(f191,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c5,sk_c9)
| ~ spl4_2
| ~ spl4_15 ),
inference(superposition,[],[f122,f65]) ).
fof(f187,plain,
( spl4_11
| spl4_22 ),
inference(avatar_split_clause,[],[f54,f185,f105]) ).
fof(f105,plain,
( spl4_11
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f54,plain,
! [X6] :
( sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sP2
| sk_c10 != inverse(X6) ),
inference(cnf_transformation,[],[f54_D]) ).
fof(f54_D,plain,
( ! [X6] :
( sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c10 != inverse(X6) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f183,plain,
( spl4_2
| spl4_8 ),
inference(avatar_split_clause,[],[f4,f90,f63]) ).
fof(f4,axiom,
( multiply(sk_c1,sk_c2) = sk_c10
| sk_c10 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f179,plain,
( spl4_7
| spl4_17 ),
inference(avatar_split_clause,[],[f20,f129,f86]) ).
fof(f20,axiom,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c10 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f178,plain,
( spl4_5
| spl4_10 ),
inference(avatar_split_clause,[],[f28,f99,f77]) ).
fof(f28,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c9 = multiply(sk_c10,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f177,plain,
( spl4_17
| spl4_18 ),
inference(avatar_split_clause,[],[f19,f135,f129]) ).
fof(f19,axiom,
( sk_c10 = multiply(sk_c5,sk_c9)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f176,plain,
( spl4_3
| spl4_2 ),
inference(avatar_split_clause,[],[f32,f63,f68]) ).
fof(f32,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c4 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f175,plain,
( spl4_3
| spl4_6 ),
inference(avatar_split_clause,[],[f37,f81,f68]) ).
fof(f37,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c4 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f173,plain,
( spl4_8
| spl4_19 ),
inference(avatar_split_clause,[],[f10,f144,f90]) ).
fof(f10,axiom,
( sk_c9 = multiply(sk_c8,sk_c10)
| multiply(sk_c1,sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f171,plain,
( spl4_2
| spl4_17 ),
inference(avatar_split_clause,[],[f18,f129,f63]) ).
fof(f18,axiom,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c10 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f170,plain,
( spl4_5
| spl4_7 ),
inference(avatar_split_clause,[],[f27,f86,f77]) ).
fof(f27,axiom,
( sk_c10 = multiply(sk_c6,sk_c9)
| sk_c9 = multiply(sk_c10,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f169,plain,
( spl4_19
| spl4_9 ),
inference(avatar_split_clause,[],[f45,f95,f144]) ).
fof(f45,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c9 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f168,plain,
( spl4_8
| spl4_10 ),
inference(avatar_split_clause,[],[f7,f99,f90]) ).
fof(f7,axiom,
( sk_c9 = inverse(sk_c6)
| multiply(sk_c1,sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f167,plain,
( spl4_3
| spl4_18 ),
inference(avatar_split_clause,[],[f33,f135,f68]) ).
fof(f33,axiom,
( sk_c10 = multiply(sk_c5,sk_c9)
| sk_c4 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f166,plain,
( spl4_19
| spl4_17 ),
inference(avatar_split_clause,[],[f24,f129,f144]) ).
fof(f24,axiom,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f165,plain,
( spl4_1
| spl4_7 ),
inference(avatar_split_clause,[],[f13,f86,f59]) ).
fof(f13,axiom,
( sk_c10 = multiply(sk_c6,sk_c9)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f164,plain,
( spl4_19
| spl4_3 ),
inference(avatar_split_clause,[],[f38,f68,f144]) ).
fof(f38,axiom,
( sk_c4 = multiply(sk_c3,sk_c10)
| sk_c9 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f163,plain,
( spl4_21
| spl4_14 ),
inference(avatar_split_clause,[],[f52,f117,f161]) ).
fof(f117,plain,
( spl4_14
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
fof(f52,plain,
! [X8] :
( sP1
| sk_c9 != inverse(X8)
| sk_c10 != multiply(X8,sk_c9) ),
inference(cnf_transformation,[],[f52_D]) ).
fof(f52_D,plain,
( ! [X8] :
( sk_c9 != inverse(X8)
| sk_c10 != multiply(X8,sk_c9) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f159,plain,
( spl4_1
| spl4_10 ),
inference(avatar_split_clause,[],[f14,f99,f59]) ).
fof(f14,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f158,plain,
( spl4_18
| spl4_5 ),
inference(avatar_split_clause,[],[f26,f77,f135]) ).
fof(f26,axiom,
( sk_c9 = multiply(sk_c10,sk_c4)
| sk_c10 = multiply(sk_c5,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f157,plain,
( spl4_19
| spl4_1 ),
inference(avatar_split_clause,[],[f17,f59,f144]) ).
fof(f17,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c9 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f156,plain,
( spl4_12
| spl4_20 ),
inference(avatar_split_clause,[],[f50,f154,f109]) ).
fof(f109,plain,
( spl4_12
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f50,plain,
! [X3] :
( sk_c10 != multiply(X3,inverse(X3))
| sP0
| sk_c10 != multiply(inverse(X3),sk_c9) ),
inference(cnf_transformation,[],[f50_D]) ).
fof(f50_D,plain,
( ! [X3] :
( sk_c10 != multiply(X3,inverse(X3))
| sk_c10 != multiply(inverse(X3),sk_c9) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f151,plain,
( spl4_18
| spl4_1 ),
inference(avatar_split_clause,[],[f12,f59,f135]) ).
fof(f12,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c10 = multiply(sk_c5,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f149,plain,
( spl4_9
| spl4_7 ),
inference(avatar_split_clause,[],[f41,f86,f95]) ).
fof(f41,axiom,
( sk_c10 = multiply(sk_c6,sk_c9)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f147,plain,
( spl4_5
| spl4_19 ),
inference(avatar_split_clause,[],[f31,f144,f77]) ).
fof(f31,axiom,
( sk_c9 = multiply(sk_c8,sk_c10)
| sk_c9 = multiply(sk_c10,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f142,plain,
( spl4_3
| spl4_7 ),
inference(avatar_split_clause,[],[f34,f86,f68]) ).
fof(f34,axiom,
( sk_c10 = multiply(sk_c6,sk_c9)
| sk_c4 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f141,plain,
( spl4_2
| spl4_5 ),
inference(avatar_split_clause,[],[f25,f77,f63]) ).
fof(f25,axiom,
( sk_c9 = multiply(sk_c10,sk_c4)
| sk_c10 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f140,plain,
( spl4_10
| spl4_3 ),
inference(avatar_split_clause,[],[f35,f68,f99]) ).
fof(f35,axiom,
( sk_c4 = multiply(sk_c3,sk_c10)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f139,plain,
( spl4_8
| spl4_18 ),
inference(avatar_split_clause,[],[f5,f135,f90]) ).
fof(f5,axiom,
( sk_c10 = multiply(sk_c5,sk_c9)
| multiply(sk_c1,sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f138,plain,
( spl4_9
| spl4_18 ),
inference(avatar_split_clause,[],[f40,f135,f95]) ).
fof(f40,axiom,
( sk_c10 = multiply(sk_c5,sk_c9)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f132,plain,
( spl4_10
| spl4_17 ),
inference(avatar_split_clause,[],[f21,f129,f99]) ).
fof(f21,axiom,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f127,plain,
( spl4_13
| spl4_16 ),
inference(avatar_split_clause,[],[f56,f125,f113]) ).
fof(f113,plain,
( spl4_13
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).
fof(f56,plain,
! [X9] :
( sk_c9 != multiply(X9,inverse(X9))
| sk_c9 != multiply(inverse(X9),sk_c10)
| sP3 ),
inference(cnf_transformation,[],[f56_D]) ).
fof(f56_D,plain,
( ! [X9] :
( sk_c9 != multiply(X9,inverse(X9))
| sk_c9 != multiply(inverse(X9),sk_c10) )
<=> ~ sP3 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f123,plain,
( ~ spl4_11
| ~ spl4_12
| ~ spl4_13
| ~ spl4_14
| spl4_15 ),
inference(avatar_split_clause,[],[f57,f121,f117,f113,f109,f105]) ).
fof(f57,plain,
! [X7] :
( sk_c10 != inverse(X7)
| ~ sP1
| ~ sP3
| ~ sP0
| sk_c10 != multiply(X7,sk_c9)
| ~ sP2 ),
inference(general_splitting,[],[f55,f56_D]) ).
fof(f55,plain,
! [X9,X7] :
( sk_c10 != inverse(X7)
| sk_c10 != multiply(X7,sk_c9)
| sk_c9 != multiply(inverse(X9),sk_c10)
| sk_c9 != multiply(X9,inverse(X9))
| ~ sP0
| ~ sP1
| ~ sP2 ),
inference(general_splitting,[],[f53,f54_D]) ).
fof(f53,plain,
! [X6,X9,X7] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c10 != inverse(X7)
| sk_c10 != multiply(X7,sk_c9)
| sk_c9 != multiply(inverse(X9),sk_c10)
| sk_c9 != multiply(X9,inverse(X9))
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f51,f52_D]) ).
fof(f51,plain,
! [X8,X6,X9,X7] :
( sk_c10 != inverse(X6)
| sk_c9 != inverse(X8)
| sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c10 != inverse(X7)
| sk_c10 != multiply(X8,sk_c9)
| sk_c10 != multiply(X7,sk_c9)
| sk_c9 != multiply(inverse(X9),sk_c10)
| sk_c9 != multiply(X9,inverse(X9))
| ~ sP0 ),
inference(general_splitting,[],[f49,f50_D]) ).
fof(f49,plain,
! [X3,X8,X6,X9,X7] :
( sk_c10 != multiply(X3,inverse(X3))
| sk_c10 != inverse(X6)
| sk_c9 != inverse(X8)
| sk_c9 != multiply(sk_c10,multiply(X6,sk_c10))
| sk_c10 != inverse(X7)
| sk_c10 != multiply(X8,sk_c9)
| sk_c10 != multiply(X7,sk_c9)
| sk_c10 != multiply(inverse(X3),sk_c9)
| sk_c9 != multiply(inverse(X9),sk_c10)
| sk_c9 != multiply(X9,inverse(X9)) ),
inference(equality_resolution,[],[f48]) ).
fof(f48,plain,
! [X3,X8,X6,X9,X7,X5] :
( sk_c10 != multiply(X3,inverse(X3))
| sk_c10 != inverse(X6)
| sk_c9 != inverse(X8)
| sk_c9 != multiply(sk_c10,X5)
| sk_c10 != inverse(X7)
| sk_c10 != multiply(X8,sk_c9)
| multiply(X6,sk_c10) != X5
| sk_c10 != multiply(X7,sk_c9)
| sk_c10 != multiply(inverse(X3),sk_c9)
| sk_c9 != multiply(inverse(X9),sk_c10)
| sk_c9 != multiply(X9,inverse(X9)) ),
inference(equality_resolution,[],[f47]) ).
fof(f47,plain,
! [X3,X10,X8,X6,X9,X7,X5] :
( sk_c10 != multiply(X3,inverse(X3))
| sk_c10 != inverse(X6)
| sk_c9 != inverse(X8)
| sk_c9 != multiply(sk_c10,X5)
| sk_c10 != inverse(X7)
| sk_c10 != multiply(X8,sk_c9)
| inverse(X9) != X10
| multiply(X6,sk_c10) != X5
| sk_c10 != multiply(X7,sk_c9)
| sk_c10 != multiply(inverse(X3),sk_c9)
| sk_c9 != multiply(X10,sk_c10)
| sk_c9 != multiply(X9,X10) ),
inference(equality_resolution,[],[f46]) ).
fof(f46,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c10 != multiply(X3,X4)
| sk_c10 != inverse(X6)
| sk_c9 != inverse(X8)
| sk_c9 != multiply(sk_c10,X5)
| sk_c10 != inverse(X7)
| inverse(X3) != X4
| sk_c10 != multiply(X8,sk_c9)
| inverse(X9) != X10
| multiply(X6,sk_c10) != X5
| sk_c10 != multiply(X7,sk_c9)
| sk_c10 != multiply(X4,sk_c9)
| sk_c9 != multiply(X10,sk_c10)
| sk_c9 != multiply(X9,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f103,plain,
( spl4_2
| spl4_9 ),
inference(avatar_split_clause,[],[f39,f95,f63]) ).
fof(f39,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c10 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f102,plain,
( spl4_9
| spl4_10 ),
inference(avatar_split_clause,[],[f42,f99,f95]) ).
fof(f42,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f93,plain,
( spl4_7
| spl4_8 ),
inference(avatar_split_clause,[],[f6,f90,f86]) ).
fof(f6,axiom,
( multiply(sk_c1,sk_c2) = sk_c10
| sk_c10 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f75,plain,
( spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f36,f72,f68]) ).
fof(f36,axiom,
( sk_c9 = multiply(sk_c7,sk_c8)
| sk_c4 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f66,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f11,f63,f59]) ).
fof(f11,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP209-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 22:23:04 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.52 % (25574)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (25572)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)
% 0.19/0.53 % (25584)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)
% 0.19/0.54 % (25576)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)
% 0.19/0.54 % (25594)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.55 % (25581)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)
% 0.19/0.55 % (25586)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55 TRYING [1]
% 0.19/0.55 % (25571)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)
% 0.19/0.55 % (25573)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)
% 0.19/0.55 % (25589)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.56 % (25592)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)
% 0.19/0.56 TRYING [2]
% 0.19/0.57 % (25593)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.57 TRYING [3]
% 0.19/0.57 % (25575)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)
% 0.19/0.57 % (25585)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)
% 0.19/0.57 % (25570)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.57 % (25588)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.58 % (25583)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.58 % (25599)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)
% 0.19/0.58 % (25578)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.58 % (25578)Instruction limit reached!
% 0.19/0.58 % (25578)------------------------------
% 0.19/0.58 % (25578)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (25578)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (25578)Termination reason: Unknown
% 0.19/0.58 % (25578)Termination phase: Property scanning
% 0.19/0.58
% 0.19/0.58 % (25578)Memory used [KB]: 895
% 0.19/0.58 % (25578)Time elapsed: 0.002 s
% 0.19/0.58 % (25578)Instructions burned: 2 (million)
% 0.19/0.58 % (25578)------------------------------
% 0.19/0.58 % (25578)------------------------------
% 0.19/0.58 % (25591)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.58 % (25598)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.59 % (25596)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)
% 0.19/0.59 % (25580)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.59 % (25597)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)
% 1.87/0.59 % (25590)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)
% 1.87/0.59 % (25595)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.87/0.60 % (25582)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.87/0.60 % (25587)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.87/0.60 % (25577)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.87/0.60 TRYING [4]
% 1.87/0.60 TRYING [1]
% 1.87/0.60 TRYING [2]
% 1.87/0.60 % (25577)Instruction limit reached!
% 1.87/0.60 % (25577)------------------------------
% 1.87/0.60 % (25577)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.60 % (25577)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.60 % (25577)Termination reason: Unknown
% 1.87/0.60 % (25577)Termination phase: Saturation
% 1.87/0.60
% 1.87/0.60 % (25577)Memory used [KB]: 5500
% 1.87/0.60 % (25577)Time elapsed: 0.144 s
% 1.87/0.60 % (25577)Instructions burned: 7 (million)
% 1.87/0.60 % (25577)------------------------------
% 1.87/0.60 % (25577)------------------------------
% 1.87/0.61 % (25579)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)
% 2.06/0.62 % (25572)Instruction limit reached!
% 2.06/0.62 % (25572)------------------------------
% 2.06/0.62 % (25572)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.62 TRYING [1]
% 2.06/0.62 TRYING [3]
% 2.06/0.62 TRYING [2]
% 2.06/0.62 % (25572)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.62 % (25572)Termination reason: Unknown
% 2.06/0.62 % (25572)Termination phase: Saturation
% 2.06/0.62
% 2.06/0.62 % (25572)Memory used [KB]: 1151
% 2.06/0.62 % (25572)Time elapsed: 0.196 s
% 2.06/0.62 % (25572)Instructions burned: 37 (million)
% 2.06/0.62 % (25572)------------------------------
% 2.06/0.62 % (25572)------------------------------
% 2.06/0.62 % (25576)Instruction limit reached!
% 2.06/0.62 % (25576)------------------------------
% 2.06/0.62 % (25576)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.62 % (25576)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.62 % (25576)Termination reason: Unknown
% 2.06/0.62 % (25576)Termination phase: Finite model building SAT solving
% 2.06/0.62
% 2.06/0.62 % (25576)Memory used [KB]: 6908
% 2.06/0.62 % (25576)Time elapsed: 0.199 s
% 2.06/0.62 % (25576)Instructions burned: 51 (million)
% 2.06/0.62 % (25576)------------------------------
% 2.06/0.62 % (25576)------------------------------
% 2.06/0.64 TRYING [3]
% 2.30/0.64 % (25591)First to succeed.
% 2.30/0.65 TRYING [4]
% 2.30/0.65 % (25574)Instruction limit reached!
% 2.30/0.65 % (25574)------------------------------
% 2.30/0.65 % (25574)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.65 % (25574)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.65 % (25574)Termination reason: Unknown
% 2.30/0.65 % (25574)Termination phase: Saturation
% 2.30/0.65
% 2.30/0.65 % (25574)Memory used [KB]: 6396
% 2.30/0.65 % (25574)Time elapsed: 0.236 s
% 2.30/0.65 % (25574)Instructions burned: 51 (million)
% 2.30/0.65 % (25574)------------------------------
% 2.30/0.65 % (25574)------------------------------
% 2.30/0.66 % (25584)Instruction limit reached!
% 2.30/0.66 % (25584)------------------------------
% 2.30/0.66 % (25584)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.66 % (25584)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.66 % (25584)Termination reason: Unknown
% 2.30/0.66 % (25584)Termination phase: Saturation
% 2.30/0.66
% 2.30/0.66 % (25584)Memory used [KB]: 6396
% 2.30/0.66 % (25584)Time elapsed: 0.053 s
% 2.30/0.66 % (25584)Instructions burned: 68 (million)
% 2.30/0.66 % (25584)------------------------------
% 2.30/0.66 % (25584)------------------------------
% 2.30/0.66 TRYING [4]
% 2.30/0.67 % (25599)Also succeeded, but the first one will report.
% 2.30/0.67 % (25591)Refutation found. Thanks to Tanya!
% 2.30/0.67 % SZS status Unsatisfiable for theBenchmark
% 2.30/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 2.30/0.67 % (25591)------------------------------
% 2.30/0.67 % (25591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.67 % (25591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.67 % (25591)Termination reason: Refutation
% 2.30/0.67
% 2.30/0.67 % (25591)Memory used [KB]: 5884
% 2.30/0.67 % (25591)Time elapsed: 0.245 s
% 2.30/0.67 % (25591)Instructions burned: 25 (million)
% 2.30/0.67 % (25591)------------------------------
% 2.30/0.67 % (25591)------------------------------
% 2.30/0.67 % (25569)Success in time 0.318 s
%------------------------------------------------------------------------------