TSTP Solution File: SWC097-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC097-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 : Tue Apr 30 15:53:38 EDT 2024
% Result : Unsatisfiable 0.20s 0.40s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 36
% Syntax : Number of formulae : 63 ( 32 unt; 0 def)
% Number of atoms : 102 ( 10 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 68 ( 29 ~; 22 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 18 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f326,plain,
$false,
inference(avatar_sat_refutation,[],[f243,f248,f253,f258,f263,f268,f273,f278,f283,f288,f293,f298,f303,f308,f313,f318,f322,f325]) ).
fof(f325,plain,
( ~ spl0_4
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f324,f320,f315,f255]) ).
fof(f255,plain,
( spl0_4
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f315,plain,
( spl0_16
<=> sk4 = app(sk3,cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f320,plain,
( spl0_17
<=> ! [X6] :
( ~ ssItem(X6)
| sk4 != app(sk3,cons(X6,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f324,plain,
( ~ ssItem(sk5)
| ~ spl0_16
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f323]) ).
fof(f323,plain,
( sk4 != sk4
| ~ ssItem(sk5)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f321,f317]) ).
fof(f317,plain,
( sk4 = app(sk3,cons(sk5,nil))
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f321,plain,
( ! [X6] :
( sk4 != app(sk3,cons(X6,nil))
| ~ ssItem(X6) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f322,plain,
( ~ spl0_3
| spl0_17 ),
inference(avatar_split_clause,[],[f206,f320,f250]) ).
fof(f250,plain,
( spl0_3
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f206,plain,
! [X6] :
( ~ ssItem(X6)
| ~ neq(sk4,nil)
| sk4 != app(sk3,cons(X6,nil)) ),
inference(definition_unfolding,[],[f197,f190,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f197,axiom,
! [X6] :
( ~ ssItem(X6)
| ~ neq(sk4,nil)
| sk2 != app(sk1,cons(X6,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f318,plain,
( spl0_16
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f199,f250,f315]) ).
fof(f199,axiom,
( ~ neq(sk4,nil)
| sk4 = app(sk3,cons(sk5,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f313,plain,
~ spl0_15,
inference(avatar_split_clause,[],[f11,f310]) ).
fof(f310,plain,
( spl0_15
<=> singletonP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
fof(f308,plain,
spl0_14,
inference(avatar_split_clause,[],[f10,f305]) ).
fof(f305,plain,
( spl0_14
<=> ssItem(skac2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
fof(f303,plain,
spl0_13,
inference(avatar_split_clause,[],[f9,f300]) ).
fof(f300,plain,
( spl0_13
<=> ssItem(skac3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
fof(f298,plain,
spl0_12,
inference(avatar_split_clause,[],[f8,f295]) ).
fof(f295,plain,
( spl0_12
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f293,plain,
spl0_11,
inference(avatar_split_clause,[],[f7,f290]) ).
fof(f290,plain,
( spl0_11
<=> cyclefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
fof(f288,plain,
spl0_10,
inference(avatar_split_clause,[],[f6,f285]) ).
fof(f285,plain,
( spl0_10
<=> totalorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f283,plain,
spl0_9,
inference(avatar_split_clause,[],[f5,f280]) ).
fof(f280,plain,
( spl0_9
<=> strictorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f278,plain,
spl0_8,
inference(avatar_split_clause,[],[f4,f275]) ).
fof(f275,plain,
( spl0_8
<=> totalorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f273,plain,
spl0_7,
inference(avatar_split_clause,[],[f3,f270]) ).
fof(f270,plain,
( spl0_7
<=> strictorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f268,plain,
spl0_6,
inference(avatar_split_clause,[],[f2,f265]) ).
fof(f265,plain,
( spl0_6
<=> duplicatefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f263,plain,
spl0_5,
inference(avatar_split_clause,[],[f1,f260]) ).
fof(f260,plain,
( spl0_5
<=> equalelemsP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f258,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f198,f255,f250]) ).
fof(f198,axiom,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f253,plain,
spl0_3,
inference(avatar_split_clause,[],[f238,f250]) ).
fof(f238,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f204]) ).
fof(f204,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f192,f190,f190]) ).
fof(f192,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f248,plain,
spl0_2,
inference(avatar_split_clause,[],[f200,f245]) ).
fof(f245,plain,
( spl0_2
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f200,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
fof(f243,plain,
spl0_1,
inference(avatar_split_clause,[],[f189,f240]) ).
fof(f240,plain,
( spl0_1
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWC097-1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n010.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 Apr 30 03:58:50 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (28079)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.38 % (28080)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.39 % (28082)WARNING: value z3 for option sas not known
% 0.20/0.39 % (28081)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.39 % (28084)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.39 % (28083)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.39 % (28086)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.39 % (28085)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.39 % (28082)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.40 % (28084)First to succeed.
% 0.20/0.40 % (28084)Refutation found. Thanks to Tanya!
% 0.20/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.40 % (28084)------------------------------
% 0.20/0.40 % (28084)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.40 % (28084)Termination reason: Refutation
% 0.20/0.40
% 0.20/0.40 % (28084)Memory used [KB]: 1052
% 0.20/0.40 % (28084)Time elapsed: 0.013 s
% 0.20/0.40 % (28084)Instructions burned: 10 (million)
% 0.20/0.40 % (28084)------------------------------
% 0.20/0.40 % (28084)------------------------------
% 0.20/0.40 % (28079)Success in time 0.044 s
%------------------------------------------------------------------------------