TSTP Solution File: SWC097+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC097+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n004.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 18:38:47 EDT 2022
% Result : Theorem 0.20s 0.60s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 5 unt; 0 def)
% Number of atoms : 120 ( 31 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 146 ( 56 ~; 45 |; 26 &)
% ( 4 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 34 ( 21 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f425,plain,
$false,
inference(avatar_sat_refutation,[],[f184,f185,f196,f197,f424]) ).
fof(f424,plain,
( ~ spl9_2
| ~ spl9_3
| ~ spl9_4 ),
inference(avatar_contradiction_clause,[],[f423]) ).
fof(f423,plain,
( $false
| ~ spl9_2
| ~ spl9_3
| ~ spl9_4 ),
inference(subsumption_resolution,[],[f417,f194]) ).
fof(f194,plain,
( ssItem(sK6)
| ~ spl9_4 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f192,plain,
( spl9_4
<=> ssItem(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).
fof(f417,plain,
( ~ ssItem(sK6)
| ~ spl9_2
| ~ spl9_3 ),
inference(trivial_inequality_removal,[],[f416]) ).
fof(f416,plain,
( sK3 != sK3
| ~ ssItem(sK6)
| ~ spl9_2
| ~ spl9_3 ),
inference(superposition,[],[f188,f183]) ).
fof(f183,plain,
( app(sK2,cons(sK6,nil)) = sK3
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f181,plain,
( spl9_2
<=> app(sK2,cons(sK6,nil)) = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f188,plain,
( ! [X5] :
( sK3 != app(sK2,cons(X5,nil))
| ~ ssItem(X5) )
| ~ spl9_3 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f187,plain,
( spl9_3
<=> ! [X5] :
( ~ ssItem(X5)
| sK3 != app(sK2,cons(X5,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).
fof(f197,plain,
( ~ spl9_1
| spl9_3 ),
inference(avatar_split_clause,[],[f168,f187,f177]) ).
fof(f177,plain,
( spl9_1
<=> neq(sK3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f168,plain,
! [X5] :
( sK3 != app(sK2,cons(X5,nil))
| ~ ssItem(X5)
| ~ neq(sK3,nil) ),
inference(definition_unfolding,[],[f131,f138]) ).
fof(f138,plain,
sK5 = sK3,
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( X0 = X2
& ssList(X3)
& ( ( neq(X1,nil)
& ~ neq(X3,nil) )
| ( ! [X5] :
( app(X0,cons(X5,nil)) != X1
| ~ ssItem(X5) )
& ? [X4] :
( ssItem(X4)
& app(X2,cons(X4,nil)) = X3 )
& neq(X1,nil) ) )
& X1 = X3 ) )
& ssList(X1) ) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( neq(X1,nil)
& ~ neq(X3,nil) )
| ( ! [X5] :
( app(X0,cons(X5,nil)) != X1
| ~ ssItem(X5) )
& ? [X4] :
( ssItem(X4)
& app(X2,cons(X4,nil)) = X3 )
& neq(X1,nil) ) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ! [X4] :
( ssItem(X4)
=> app(X2,cons(X4,nil)) != X3 )
| ~ neq(X1,nil)
| ? [X5] :
( ssItem(X5)
& app(X0,cons(X5,nil)) = X1 ) )
& ( ~ neq(X1,nil)
| neq(X3,nil) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ! [X5] :
( ssItem(X5)
=> app(X2,cons(X5,nil)) != X3 )
| ~ neq(X1,nil)
| ? [X4] :
( ssItem(X4)
& app(X0,cons(X4,nil)) = X1 ) )
& ( ~ neq(X1,nil)
| neq(X3,nil) ) )
| X1 != X3
| X0 != X2 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ! [X5] :
( ssItem(X5)
=> app(X2,cons(X5,nil)) != X3 )
| ~ neq(X1,nil)
| ? [X4] :
( ssItem(X4)
& app(X0,cons(X4,nil)) = X1 ) )
& ( ~ neq(X1,nil)
| neq(X3,nil) ) )
| X1 != X3
| X0 != X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f131,plain,
! [X5] :
( ~ ssItem(X5)
| sK3 != app(sK2,cons(X5,nil))
| ~ neq(sK5,nil) ),
inference(cnf_transformation,[],[f101]) ).
fof(f196,plain,
( ~ spl9_1
| spl9_4 ),
inference(avatar_split_clause,[],[f165,f192,f177]) ).
fof(f165,plain,
( ssItem(sK6)
| ~ neq(sK3,nil) ),
inference(definition_unfolding,[],[f135,f138]) ).
fof(f135,plain,
( ssItem(sK6)
| ~ neq(sK5,nil) ),
inference(cnf_transformation,[],[f101]) ).
fof(f185,plain,
spl9_1,
inference(avatar_split_clause,[],[f137,f177]) ).
fof(f137,plain,
neq(sK3,nil),
inference(cnf_transformation,[],[f101]) ).
fof(f184,plain,
( ~ spl9_1
| spl9_2 ),
inference(avatar_split_clause,[],[f166,f181,f177]) ).
fof(f166,plain,
( app(sK2,cons(sK6,nil)) = sK3
| ~ neq(sK3,nil) ),
inference(definition_unfolding,[],[f134,f140,f138,f138]) ).
fof(f140,plain,
sK4 = sK2,
inference(cnf_transformation,[],[f101]) ).
fof(f134,plain,
( app(sK4,cons(sK6,nil)) = sK5
| ~ neq(sK5,nil) ),
inference(cnf_transformation,[],[f101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWC097+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n004.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 : Tue Aug 30 18:10:49 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.57 % (3128)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.58 % (3126)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.58 % (3129)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.59 % (3128)First to succeed.
% 0.20/0.59 % (3120)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.60 % (3135)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.60 % (3121)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.60 % (3143)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.60 % (3125)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.60 % (3124)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.60 % (3126)Also succeeded, but the first one will report.
% 0.20/0.60 % (3138)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.60 % (3122)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.60 % (3138)Instruction limit reached!
% 0.20/0.60 % (3138)------------------------------
% 0.20/0.60 % (3138)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (3138)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (3138)Termination reason: Unknown
% 0.20/0.60 % (3138)Termination phase: Preprocessing 1
% 0.20/0.60
% 0.20/0.60 % (3138)Memory used [KB]: 1407
% 0.20/0.60 % (3138)Time elapsed: 0.004 s
% 0.20/0.60 % (3138)Instructions burned: 2 (million)
% 0.20/0.60 % (3138)------------------------------
% 0.20/0.60 % (3138)------------------------------
% 0.20/0.60 % (3128)Refutation found. Thanks to Tanya!
% 0.20/0.60 % SZS status Theorem for theBenchmark
% 0.20/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.60 % (3128)------------------------------
% 0.20/0.60 % (3128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (3128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (3128)Termination reason: Refutation
% 0.20/0.60
% 0.20/0.60 % (3128)Memory used [KB]: 6268
% 0.20/0.60 % (3128)Time elapsed: 0.145 s
% 0.20/0.60 % (3128)Instructions burned: 11 (million)
% 0.20/0.60 % (3128)------------------------------
% 0.20/0.60 % (3128)------------------------------
% 0.20/0.60 % (3119)Success in time 0.244 s
%------------------------------------------------------------------------------