TSTP Solution File: SWC001-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC001-1 : 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 : n018.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 : Sun May 5 09:51:01 EDT 2024
% Result : Unsatisfiable 0.14s 0.40s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 40
% Syntax : Number of formulae : 71 ( 33 unt; 0 def)
% Number of atoms : 133 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 107 ( 45 ~; 43 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 32 ( 30 usr; 20 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f330,plain,
$false,
inference(avatar_sat_refutation,[],[f237,f242,f247,f252,f256,f260,f269,f270,f276,f281,f286,f291,f296,f301,f302,f308,f313,f318,f323,f328,f329]) ).
fof(f329,plain,
( spl0_7
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f303,f266,f258,f249,f262]) ).
fof(f262,plain,
( spl0_7
<=> memberP(sk3,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f249,plain,
( spl0_4
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f258,plain,
( spl0_6
<=> ! [X6] :
( ~ ssItem(X6)
| ~ memberP(sk4,X6)
| memberP(sk3,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f266,plain,
( spl0_8
<=> memberP(sk4,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f303,plain,
( ~ ssItem(sk5)
| memberP(sk3,sk5)
| ~ spl0_6
| ~ spl0_8 ),
inference(resolution,[],[f267,f259]) ).
fof(f259,plain,
( ! [X6] :
( ~ memberP(sk4,X6)
| ~ ssItem(X6)
| memberP(sk3,X6) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f267,plain,
( memberP(sk4,sk5)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f328,plain,
~ spl0_19,
inference(avatar_split_clause,[],[f11,f325]) ).
fof(f325,plain,
( spl0_19
<=> singletonP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
fof(f323,plain,
spl0_18,
inference(avatar_split_clause,[],[f10,f320]) ).
fof(f320,plain,
( spl0_18
<=> ssItem(skac2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
fof(f318,plain,
spl0_17,
inference(avatar_split_clause,[],[f9,f315]) ).
fof(f315,plain,
( spl0_17
<=> ssItem(skac3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
fof(f313,plain,
spl0_16,
inference(avatar_split_clause,[],[f8,f310]) ).
fof(f310,plain,
( spl0_16
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f308,plain,
spl0_15,
inference(avatar_split_clause,[],[f7,f305]) ).
fof(f305,plain,
( spl0_15
<=> cyclefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
fof(f302,plain,
( spl0_8
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f271,f262,f254,f249,f266]) ).
fof(f254,plain,
( spl0_5
<=> ! [X6] :
( ~ ssItem(X6)
| ~ memberP(sk3,X6)
| memberP(sk4,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f271,plain,
( ~ ssItem(sk5)
| memberP(sk4,sk5)
| ~ spl0_5
| ~ spl0_7 ),
inference(resolution,[],[f255,f263]) ).
fof(f263,plain,
( memberP(sk3,sk5)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f255,plain,
( ! [X6] :
( ~ memberP(sk3,X6)
| ~ ssItem(X6)
| memberP(sk4,X6) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f301,plain,
spl0_14,
inference(avatar_split_clause,[],[f6,f298]) ).
fof(f298,plain,
( spl0_14
<=> totalorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f296,plain,
spl0_13,
inference(avatar_split_clause,[],[f5,f293]) ).
fof(f293,plain,
( spl0_13
<=> strictorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f291,plain,
spl0_12,
inference(avatar_split_clause,[],[f4,f288]) ).
fof(f288,plain,
( spl0_12
<=> totalorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f286,plain,
spl0_11,
inference(avatar_split_clause,[],[f3,f283]) ).
fof(f283,plain,
( spl0_11
<=> strictorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f281,plain,
spl0_10,
inference(avatar_split_clause,[],[f2,f278]) ).
fof(f278,plain,
( spl0_10
<=> duplicatefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f276,plain,
spl0_9,
inference(avatar_split_clause,[],[f1,f273]) ).
fof(f273,plain,
( spl0_9
<=> equalelemsP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f270,plain,
( spl0_7
| spl0_8
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f202,f244,f266,f262]) ).
fof(f244,plain,
( spl0_3
<=> duplicatefreeP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f202,plain,
( ~ duplicatefreeP(sk3)
| memberP(sk4,sk5)
| memberP(sk3,sk5) ),
inference(definition_unfolding,[],[f196,f191,f190,f191]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f196,axiom,
( ~ duplicatefreeP(sk1)
| memberP(sk2,sk5)
| memberP(sk1,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f269,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f201,f244,f266,f262]) ).
fof(f201,plain,
( ~ duplicatefreeP(sk3)
| ~ memberP(sk4,sk5)
| ~ memberP(sk3,sk5) ),
inference(definition_unfolding,[],[f197,f191,f190,f191]) ).
fof(f197,axiom,
( ~ duplicatefreeP(sk1)
| ~ memberP(sk2,sk5)
| ~ memberP(sk1,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f260,plain,
spl0_6,
inference(avatar_split_clause,[],[f194,f258]) ).
fof(f194,axiom,
! [X6] :
( ~ ssItem(X6)
| ~ memberP(sk4,X6)
| memberP(sk3,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f256,plain,
spl0_5,
inference(avatar_split_clause,[],[f193,f254]) ).
fof(f193,axiom,
! [X6] :
( ~ ssItem(X6)
| ~ memberP(sk3,X6)
| memberP(sk4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f252,plain,
( spl0_4
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f200,f244,f249]) ).
fof(f200,plain,
( ~ duplicatefreeP(sk3)
| ssItem(sk5) ),
inference(definition_unfolding,[],[f195,f191]) ).
fof(f195,axiom,
( ~ duplicatefreeP(sk1)
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f247,plain,
spl0_3,
inference(avatar_split_clause,[],[f192,f244]) ).
fof(f192,axiom,
duplicatefreeP(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f242,plain,
spl0_2,
inference(avatar_split_clause,[],[f189,f239]) ).
fof(f239,plain,
( spl0_2
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f237,plain,
spl0_1,
inference(avatar_split_clause,[],[f188,f234]) ).
fof(f234,plain,
( spl0_1
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC001-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n018.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 : Fri May 3 20:23:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (19740)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (19741)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 % (19743)WARNING: value z3 for option sas not known
% 0.14/0.39 % (19742)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.39 % (19745)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)
% 0.14/0.39 % (19744)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39 % (19747)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)
% 0.14/0.39 % (19748)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)
% 0.14/0.39 % (19743)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)
% 0.14/0.40 % (19745)First to succeed.
% 0.14/0.40 % (19745)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19740"
% 0.14/0.40 % (19747)Also succeeded, but the first one will report.
% 0.14/0.40 % (19745)Refutation found. Thanks to Tanya!
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40 % (19745)------------------------------
% 0.14/0.40 % (19745)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.40 % (19745)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (19745)Memory used [KB]: 1054
% 0.14/0.40 % (19745)Time elapsed: 0.012 s
% 0.14/0.40 % (19745)Instructions burned: 10 (million)
% 0.14/0.40 % (19740)Success in time 0.045 s
%------------------------------------------------------------------------------