TSTP Solution File: ALG194+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG194+1 : TPTP v8.1.0. Released v2.7.0.
% 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 : n020.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 15:43:29 EDT 2022
% Result : Theorem 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 47 ( 1 unt; 0 def)
% Number of atoms : 223 ( 154 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 284 ( 108 ~; 108 |; 60 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 10 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2078,plain,
$false,
inference(avatar_sat_refutation,[],[f742,f860,f1424,f1538,f1666,f1680,f1698,f1824,f1875,f2030,f2031,f2033,f2053,f2055,f2067,f2070]) ).
fof(f2070,plain,
( ~ spl1_111
| ~ spl1_160
| ~ spl1_13
| ~ spl1_250
| ~ spl1_196
| ~ spl1_67
| ~ spl1_48 ),
inference(avatar_split_clause,[],[f369,f735,f814,f1357,f1593,f589,f1205,f999]) ).
fof(f999,plain,
( spl1_111
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_111])]) ).
fof(f1205,plain,
( spl1_160
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_160])]) ).
fof(f589,plain,
( spl1_13
<=> e5 = op(e5,e5) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_13])]) ).
fof(f1593,plain,
( spl1_250
<=> e6 = op(e6,e6) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_250])]) ).
fof(f1357,plain,
( spl1_196
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_196])]) ).
fof(f814,plain,
( spl1_67
<=> e4 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_67])]) ).
fof(f735,plain,
( spl1_48
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_48])]) ).
fof(f369,plain,
( e1 != op(e1,e1)
| e4 != op(e4,e4)
| e3 != op(e3,e3)
| e6 != op(e6,e6)
| e5 != op(e5,e5)
| e2 != op(e2,e2)
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
( ( e6 = op(e6,e6)
| e5 = op(e5,e5)
| e4 = op(e4,e4)
| e3 = op(e3,e3)
| e0 = op(e0,e0)
| e2 = op(e2,e2)
| e1 = op(e1,e1) )
& ( e3 != op(e3,e3)
| e1 != op(e1,e1)
| e6 != op(e6,e6)
| e4 != op(e4,e4)
| e0 != op(e0,e0)
| e2 != op(e2,e2)
| e5 != op(e5,e5) )
& ( ( e1 = op(e1,e1)
& e6 = op(e6,e6)
& e0 = op(e0,e0)
& e3 = op(e3,e3)
& e5 = op(e5,e5)
& e4 = op(e4,e4)
& e2 = op(e2,e2) )
| sP0 ) ),
inference(definition_folding,[],[f8,f9]) ).
fof(f9,plain,
( ( e4 != op(e4,e4)
& e0 != op(e0,e0)
& e1 != op(e1,e1)
& e5 != op(e5,e5)
& e6 != op(e6,e6)
& e2 != op(e2,e2)
& e3 != op(e3,e3) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f8,plain,
( ( e6 = op(e6,e6)
| e5 = op(e5,e5)
| e4 = op(e4,e4)
| e3 = op(e3,e3)
| e0 = op(e0,e0)
| e2 = op(e2,e2)
| e1 = op(e1,e1) )
& ( e3 != op(e3,e3)
| e1 != op(e1,e1)
| e6 != op(e6,e6)
| e4 != op(e4,e4)
| e0 != op(e0,e0)
| e2 != op(e2,e2)
| e5 != op(e5,e5) )
& ( ( e1 = op(e1,e1)
& e6 = op(e6,e6)
& e0 = op(e0,e0)
& e3 = op(e3,e3)
& e5 = op(e5,e5)
& e4 = op(e4,e4)
& e2 = op(e2,e2) )
| ( e4 != op(e4,e4)
& e0 != op(e0,e0)
& e1 != op(e1,e1)
& e5 != op(e5,e5)
& e6 != op(e6,e6)
& e2 != op(e2,e2)
& e3 != op(e3,e3) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,negated_conjecture,
~ ( ( ( e3 != op(e3,e3)
| e5 != op(e5,e5)
| e6 != op(e6,e6)
| e4 != op(e4,e4)
| e0 != op(e0,e0)
| e2 != op(e2,e2)
| e1 != op(e1,e1) )
& ( e1 = op(e1,e1)
| e6 = op(e6,e6)
| e0 = op(e0,e0)
| e2 = op(e2,e2)
| e4 = op(e4,e4)
| e5 = op(e5,e5)
| e3 = op(e3,e3) ) )
| ( e6 != op(e6,e6)
& e0 != op(e0,e0)
& e3 != op(e3,e3)
& e4 != op(e4,e4)
& e5 != op(e5,e5)
& e1 != op(e1,e1)
& e2 != op(e2,e2) )
| ( e4 = op(e4,e4)
& e2 = op(e2,e2)
& e0 = op(e0,e0)
& e5 = op(e5,e5)
& e6 = op(e6,e6)
& e1 = op(e1,e1)
& e3 = op(e3,e3) ) ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
( ( ( e3 != op(e3,e3)
| e5 != op(e5,e5)
| e6 != op(e6,e6)
| e4 != op(e4,e4)
| e0 != op(e0,e0)
| e2 != op(e2,e2)
| e1 != op(e1,e1) )
& ( e1 = op(e1,e1)
| e6 = op(e6,e6)
| e0 = op(e0,e0)
| e2 = op(e2,e2)
| e4 = op(e4,e4)
| e5 = op(e5,e5)
| e3 = op(e3,e3) ) )
| ( e6 != op(e6,e6)
& e0 != op(e0,e0)
& e3 != op(e3,e3)
& e4 != op(e4,e4)
& e5 != op(e5,e5)
& e1 != op(e1,e1)
& e2 != op(e2,e2) )
| ( e4 = op(e4,e4)
& e2 = op(e2,e2)
& e0 = op(e0,e0)
& e5 = op(e5,e5)
& e6 = op(e6,e6)
& e1 = op(e1,e1)
& e3 = op(e3,e3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f2067,plain,
( spl1_160
| spl1_49 ),
inference(avatar_split_clause,[],[f362,f739,f1205]) ).
fof(f739,plain,
( spl1_49
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_49])]) ).
fof(f362,plain,
( sP0
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f10]) ).
fof(f2055,plain,
( ~ spl1_13
| ~ spl1_49 ),
inference(avatar_split_clause,[],[f358,f739,f589]) ).
fof(f358,plain,
( ~ sP0
| e5 != op(e5,e5) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
( ( e4 != op(e4,e4)
& e0 != op(e0,e0)
& e1 != op(e1,e1)
& e5 != op(e5,e5)
& e6 != op(e6,e6)
& e2 != op(e2,e2)
& e3 != op(e3,e3) )
| ~ sP0 ),
inference(nnf_transformation,[],[f9]) ).
fof(f2053,plain,
( ~ spl1_67
| ~ spl1_49 ),
inference(avatar_split_clause,[],[f361,f739,f814]) ).
fof(f361,plain,
( ~ sP0
| e4 != op(e4,e4) ),
inference(cnf_transformation,[],[f11]) ).
fof(f2033,plain,
( ~ spl1_49
| ~ spl1_160 ),
inference(avatar_split_clause,[],[f356,f1205,f739]) ).
fof(f356,plain,
( e2 != op(e2,e2)
| ~ sP0 ),
inference(cnf_transformation,[],[f11]) ).
fof(f2031,plain,
( spl1_49
| spl1_111 ),
inference(avatar_split_clause,[],[f366,f999,f739]) ).
fof(f366,plain,
( e0 = op(e0,e0)
| sP0 ),
inference(cnf_transformation,[],[f10]) ).
fof(f2030,plain,
( spl1_13
| spl1_49 ),
inference(avatar_split_clause,[],[f364,f739,f589]) ).
fof(f364,plain,
( sP0
| e5 = op(e5,e5) ),
inference(cnf_transformation,[],[f10]) ).
fof(f1875,plain,
( spl1_49
| spl1_67 ),
inference(avatar_split_clause,[],[f363,f814,f739]) ).
fof(f363,plain,
( e4 = op(e4,e4)
| sP0 ),
inference(cnf_transformation,[],[f10]) ).
fof(f1824,plain,
( spl1_160
| spl1_48
| spl1_67
| spl1_111
| spl1_250
| spl1_196
| spl1_13 ),
inference(avatar_split_clause,[],[f370,f589,f1357,f1593,f999,f814,f735,f1205]) ).
fof(f370,plain,
( e5 = op(e5,e5)
| e3 = op(e3,e3)
| e6 = op(e6,e6)
| e0 = op(e0,e0)
| e4 = op(e4,e4)
| e1 = op(e1,e1)
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f10]) ).
fof(f1698,plain,
( ~ spl1_49
| ~ spl1_196 ),
inference(avatar_split_clause,[],[f355,f1357,f739]) ).
fof(f355,plain,
( e3 != op(e3,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f11]) ).
fof(f1680,plain,
( ~ spl1_250
| ~ spl1_49 ),
inference(avatar_split_clause,[],[f357,f739,f1593]) ).
fof(f357,plain,
( ~ sP0
| e6 != op(e6,e6) ),
inference(cnf_transformation,[],[f11]) ).
fof(f1666,plain,
( spl1_49
| spl1_250 ),
inference(avatar_split_clause,[],[f367,f1593,f739]) ).
fof(f367,plain,
( e6 = op(e6,e6)
| sP0 ),
inference(cnf_transformation,[],[f10]) ).
fof(f1538,plain,
( spl1_49
| spl1_196 ),
inference(avatar_split_clause,[],[f365,f1357,f739]) ).
fof(f365,plain,
( e3 = op(e3,e3)
| sP0 ),
inference(cnf_transformation,[],[f10]) ).
fof(f1424,plain,
( ~ spl1_49
| ~ spl1_111 ),
inference(avatar_split_clause,[],[f360,f999,f739]) ).
fof(f360,plain,
( e0 != op(e0,e0)
| ~ sP0 ),
inference(cnf_transformation,[],[f11]) ).
fof(f860,plain,
( spl1_49
| spl1_48 ),
inference(avatar_split_clause,[],[f368,f735,f739]) ).
fof(f368,plain,
( e1 = op(e1,e1)
| sP0 ),
inference(cnf_transformation,[],[f10]) ).
fof(f742,plain,
( ~ spl1_48
| ~ spl1_49 ),
inference(avatar_split_clause,[],[f359,f739,f735]) ).
fof(f359,plain,
( ~ sP0
| e1 != op(e1,e1) ),
inference(cnf_transformation,[],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG194+1 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 15:00:15 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.48 % (5810)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)
% 0.19/0.50 % (5826)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.51 % (5818)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)
% 0.19/0.53 % (5811)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 % (5827)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (5819)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54 % (5812)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)
% 0.19/0.54 % (5810)First to succeed.
% 0.19/0.54 % (5813)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (5823)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)
% 0.19/0.55 % (5810)Refutation found. Thanks to Tanya!
% 0.19/0.55 % SZS status Theorem for theBenchmark
% 0.19/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55 % (5810)------------------------------
% 0.19/0.55 % (5810)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (5810)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (5810)Termination reason: Refutation
% 0.19/0.55
% 0.19/0.55 % (5810)Memory used [KB]: 6908
% 0.19/0.55 % (5810)Time elapsed: 0.023 s
% 0.19/0.55 % (5810)Instructions burned: 40 (million)
% 0.19/0.55 % (5810)------------------------------
% 0.19/0.55 % (5810)------------------------------
% 0.19/0.55 % (5798)Success in time 0.192 s
%------------------------------------------------------------------------------