TSTP Solution File: SWC011-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC011-1 : 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 : 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 18:38:11 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of formulae : 41 ( 5 unt; 0 def)
% Number of atoms : 130 ( 21 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 180 ( 91 ~; 82 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f276,plain,
$false,
inference(avatar_sat_refutation,[],[f234,f244,f245,f255,f260,f262,f264,f275]) ).
fof(f275,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f274]) ).
fof(f274,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f273,f249]) ).
fof(f249,plain,
( ssList(sk7)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f247,plain,
( spl0_5
<=> ssList(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f273,plain,
( ~ ssList(sk7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f272,f238]) ).
fof(f238,plain,
( ssList(sk6)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f236,plain,
( spl0_3
<=> ssList(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f272,plain,
( ~ ssList(sk6)
| ~ ssList(sk7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f271,f243]) ).
fof(f243,plain,
( ssItem(sk5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f241,plain,
( spl0_4
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f271,plain,
( ~ ssItem(sk5)
| ~ ssList(sk6)
| ~ ssList(sk7)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f270]) ).
fof(f270,plain,
( ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ ssList(sk6)
| app(sk6,sk7) != app(sk6,sk7)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(equality_resolution,[],[f266]) ).
fof(f266,plain,
( ! [X8,X6,X7] :
( app(app(X7,cons(X6,nil)),X8) != app(app(sk6,cons(sk5,nil)),sk7)
| app(X7,X8) != app(sk6,sk7)
| ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f265,f259]) ).
fof(f259,plain,
( sk4 = app(app(sk6,cons(sk5,nil)),sk7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f257,plain,
( spl0_7
<=> sk4 = app(app(sk6,cons(sk5,nil)),sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f265,plain,
( ! [X8,X6,X7] :
( sk4 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| ~ ssList(X7)
| app(X7,X8) != app(sk6,sk7)
| ~ ssItem(X6) )
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f254,f232]) ).
fof(f232,plain,
( sk3 = app(sk6,sk7)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f230,plain,
( spl0_2
<=> sk3 = app(sk6,sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f254,plain,
( ! [X8,X6,X7] :
( ~ ssList(X7)
| ~ ssList(X8)
| sk3 != app(X7,X8)
| ~ ssItem(X6)
| sk4 != app(app(X7,cons(X6,nil)),X8) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f253,plain,
( spl0_6
<=> ! [X6,X8,X7] :
( ~ ssItem(X6)
| sk3 != app(X7,X8)
| ~ ssList(X8)
| sk4 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f264,plain,
spl0_1,
inference(avatar_split_clause,[],[f223,f226]) ).
fof(f226,plain,
( spl0_1
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f223,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f216]) ).
fof(f216,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f192,f190,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f192,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f262,plain,
( ~ spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f203,f247,f226]) ).
fof(f203,axiom,
( ssList(sk7)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f260,plain,
( spl0_7
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f204,f226,f257]) ).
fof(f204,axiom,
( ~ neq(sk4,nil)
| sk4 = app(app(sk6,cons(sk5,nil)),sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_19) ).
fof(f255,plain,
( ~ spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f214,f253,f226]) ).
fof(f214,plain,
! [X8,X6,X7] :
( ~ ssItem(X6)
| ~ neq(sk4,nil)
| ~ ssList(X7)
| sk4 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| sk3 != app(X7,X8) ),
inference(definition_unfolding,[],[f200,f191,f190]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f200,axiom,
! [X8,X6,X7] :
( ~ neq(sk4,nil)
| sk1 != app(X7,X8)
| ~ ssList(X7)
| ~ ssList(X8)
| ~ ssItem(X6)
| sk2 != app(app(X7,cons(X6,nil)),X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f245,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f202,f236,f226]) ).
fof(f202,axiom,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f244,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f201,f241,f226]) ).
fof(f201,axiom,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f234,plain,
( spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f205,f226,f230]) ).
fof(f205,axiom,
( ~ neq(sk4,nil)
| sk3 = app(sk6,sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_20) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC011-1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 17:58:19 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.50 % (30005)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)
% 0.20/0.51 % (30008)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)
% 0.20/0.52 % (30002)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.52 % (30024)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)
% 0.20/0.52 % (30017)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)
% 0.20/0.52 % (30013)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)
% 0.20/0.52 % (30009)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)
% 0.20/0.52 % (30005)First to succeed.
% 0.20/0.52 % (30005)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (30005)------------------------------
% 0.20/0.52 % (30005)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (30005)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (30005)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (30005)Memory used [KB]: 6012
% 0.20/0.52 % (30005)Time elapsed: 0.096 s
% 0.20/0.52 % (30005)Instructions burned: 4 (million)
% 0.20/0.52 % (30005)------------------------------
% 0.20/0.52 % (30005)------------------------------
% 0.20/0.52 % (30001)Success in time 0.162 s
%------------------------------------------------------------------------------