TSTP Solution File: SWC405-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC405-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Tue May 21 05:15:16 EDT 2024
% Result : Unsatisfiable 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 34
% Syntax : Number of formulae : 59 ( 37 unt; 0 def)
% Number of atoms : 93 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 55 ( 21 ~; 18 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 17 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f311,plain,
$false,
inference(avatar_sat_refutation,[],[f235,f240,f245,f250,f255,f259,f263,f269,f274,f279,f284,f289,f294,f299,f304,f309,f310]) ).
fof(f310,plain,
( spl0_4
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f264,f257,f252,f232,f247]) ).
fof(f247,plain,
( spl0_4
<=> memberP(sk4,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f232,plain,
( spl0_1
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f252,plain,
( spl0_5
<=> memberP(sk3,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f257,plain,
( spl0_6
<=> ! [X6] :
( ~ ssItem(X6)
| ~ memberP(sk3,X6)
| memberP(sk4,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f264,plain,
( ~ ssItem(sk5)
| memberP(sk4,sk5)
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f258,f254]) ).
fof(f254,plain,
( memberP(sk3,sk5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f258,plain,
( ! [X6] :
( ~ memberP(sk3,X6)
| ~ ssItem(X6)
| memberP(sk4,X6) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f309,plain,
spl0_16,
inference(avatar_split_clause,[],[f9,f306]) ).
fof(f306,plain,
( spl0_16
<=> ssItem(skac3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
fof(f304,plain,
spl0_15,
inference(avatar_split_clause,[],[f8,f301]) ).
fof(f301,plain,
( spl0_15
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f299,plain,
spl0_14,
inference(avatar_split_clause,[],[f7,f296]) ).
fof(f296,plain,
( spl0_14
<=> cyclefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
fof(f294,plain,
spl0_13,
inference(avatar_split_clause,[],[f6,f291]) ).
fof(f291,plain,
( spl0_13
<=> totalorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f289,plain,
spl0_12,
inference(avatar_split_clause,[],[f5,f286]) ).
fof(f286,plain,
( spl0_12
<=> strictorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f284,plain,
spl0_11,
inference(avatar_split_clause,[],[f4,f281]) ).
fof(f281,plain,
( spl0_11
<=> totalorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f279,plain,
spl0_10,
inference(avatar_split_clause,[],[f3,f276]) ).
fof(f276,plain,
( spl0_10
<=> strictorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f274,plain,
spl0_9,
inference(avatar_split_clause,[],[f2,f271]) ).
fof(f271,plain,
( spl0_9
<=> duplicatefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f269,plain,
spl0_8,
inference(avatar_split_clause,[],[f1,f266]) ).
fof(f266,plain,
( spl0_8
<=> equalelemsP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f263,plain,
spl0_7,
inference(avatar_split_clause,[],[f193,f261]) ).
fof(f261,plain,
( spl0_7
<=> ! [X6] :
( ~ ssItem(X6)
| ~ memberP(sk4,X6)
| memberP(sk3,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f193,axiom,
! [X6] :
( ~ ssItem(X6)
| ~ memberP(sk4,X6)
| memberP(sk3,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f259,plain,
spl0_6,
inference(avatar_split_clause,[],[f192,f257]) ).
fof(f192,axiom,
! [X6] :
( ~ ssItem(X6)
| ~ memberP(sk3,X6)
| memberP(sk4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f255,plain,
spl0_5,
inference(avatar_split_clause,[],[f200,f252]) ).
fof(f200,plain,
memberP(sk3,sk5),
inference(definition_unfolding,[],[f195,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f195,axiom,
memberP(sk1,sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f250,plain,
~ spl0_4,
inference(avatar_split_clause,[],[f199,f247]) ).
fof(f199,plain,
~ memberP(sk4,sk5),
inference(definition_unfolding,[],[f196,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f196,axiom,
~ memberP(sk2,sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f245,plain,
spl0_3,
inference(avatar_split_clause,[],[f198,f242]) ).
fof(f242,plain,
( spl0_3
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f198,plain,
ssList(sk4),
inference(definition_unfolding,[],[f187,f190]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
fof(f240,plain,
spl0_2,
inference(avatar_split_clause,[],[f197,f237]) ).
fof(f237,plain,
( spl0_2
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f197,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
fof(f235,plain,
spl0_1,
inference(avatar_split_clause,[],[f194,f232]) ).
fof(f194,axiom,
ssItem(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC405-1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Sun May 19 03:37:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (8819)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (8822)WARNING: value z3 for option sas not known
% 0.13/0.37 % (8823)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (8821)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (8824)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)
% 0.13/0.37 % (8825)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)
% 0.13/0.37 % (8822)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)
% 0.13/0.37 % (8820)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (8826)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)
% 0.13/0.38 % (8824)First to succeed.
% 0.13/0.38 % (8824)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8819"
% 0.13/0.38 % (8825)Also succeeded, but the first one will report.
% 0.13/0.38 % (8824)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (8824)------------------------------
% 0.13/0.38 % (8824)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38 % (8824)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (8824)Memory used [KB]: 1049
% 0.13/0.38 % (8824)Time elapsed: 0.007 s
% 0.13/0.38 % (8824)Instructions burned: 10 (million)
% 0.13/0.38 % (8819)Success in time 0.017 s
%------------------------------------------------------------------------------