TSTP Solution File: SWC036-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC036-1 : 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 : n012.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 09:52:21 EDT 2024
% Result : Unsatisfiable 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 26
% Syntax : Number of formulae : 60 ( 47 unt; 0 def)
% Number of atoms : 73 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 22 ( 9 ~; 2 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 12 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f398,plain,
$false,
inference(avatar_sat_refutation,[],[f345,f351,f356,f361,f366,f371,f376,f381,f386,f391,f396,f397]) ).
fof(f397,plain,
spl0_11,
inference(avatar_split_clause,[],[f282,f393]) ).
fof(f393,plain,
( spl0_11
<=> sk3 = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f282,plain,
sk3 = sk4,
inference(trivial_inequality_removal,[],[f199]) ).
fof(f199,plain,
( sk4 != sk4
| sk3 = sk4 ),
inference(definition_unfolding,[],[f194,f195,f195]) ).
fof(f195,plain,
nil = sk4,
inference(definition_unfolding,[],[f190,f191]) ).
fof(f191,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f190,axiom,
nil = sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f194,axiom,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f396,plain,
~ spl0_11,
inference(avatar_split_clause,[],[f198,f393]) ).
fof(f198,plain,
sk3 != sk4,
inference(definition_unfolding,[],[f193,f195,f192]) ).
fof(f192,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f193,axiom,
nil != sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f391,plain,
spl0_10,
inference(avatar_split_clause,[],[f290,f388]) ).
fof(f388,plain,
( spl0_10
<=> strictorderedP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f290,plain,
strictorderedP(sk3),
inference(forward_demodulation,[],[f207,f282]) ).
fof(f207,plain,
strictorderedP(sk4),
inference(definition_unfolding,[],[f3,f195]) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f386,plain,
spl0_9,
inference(avatar_split_clause,[],[f289,f383]) ).
fof(f383,plain,
( spl0_9
<=> totalorderedP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f289,plain,
totalorderedP(sk3),
inference(forward_demodulation,[],[f206,f282]) ).
fof(f206,plain,
totalorderedP(sk4),
inference(definition_unfolding,[],[f4,f195]) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f381,plain,
spl0_8,
inference(avatar_split_clause,[],[f288,f378]) ).
fof(f378,plain,
( spl0_8
<=> strictorderP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f288,plain,
strictorderP(sk3),
inference(forward_demodulation,[],[f205,f282]) ).
fof(f205,plain,
strictorderP(sk4),
inference(definition_unfolding,[],[f5,f195]) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f376,plain,
spl0_7,
inference(avatar_split_clause,[],[f287,f373]) ).
fof(f373,plain,
( spl0_7
<=> totalorderP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f287,plain,
totalorderP(sk3),
inference(forward_demodulation,[],[f204,f282]) ).
fof(f204,plain,
totalorderP(sk4),
inference(definition_unfolding,[],[f6,f195]) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
fof(f371,plain,
spl0_6,
inference(avatar_split_clause,[],[f286,f368]) ).
fof(f368,plain,
( spl0_6
<=> cyclefreeP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f286,plain,
cyclefreeP(sk3),
inference(forward_demodulation,[],[f203,f282]) ).
fof(f203,plain,
cyclefreeP(sk4),
inference(definition_unfolding,[],[f7,f195]) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f366,plain,
spl0_5,
inference(avatar_split_clause,[],[f285,f363]) ).
fof(f363,plain,
( spl0_5
<=> equalelemsP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f285,plain,
equalelemsP(sk3),
inference(forward_demodulation,[],[f202,f282]) ).
fof(f202,plain,
equalelemsP(sk4),
inference(definition_unfolding,[],[f1,f195]) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f361,plain,
spl0_4,
inference(avatar_split_clause,[],[f284,f358]) ).
fof(f358,plain,
( spl0_4
<=> duplicatefreeP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f284,plain,
duplicatefreeP(sk3),
inference(forward_demodulation,[],[f201,f282]) ).
fof(f201,plain,
duplicatefreeP(sk4),
inference(definition_unfolding,[],[f2,f195]) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f356,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f283,f353]) ).
fof(f353,plain,
( spl0_3
<=> singletonP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f283,plain,
~ singletonP(sk3),
inference(forward_demodulation,[],[f200,f282]) ).
fof(f200,plain,
~ singletonP(sk4),
inference(definition_unfolding,[],[f11,f195]) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
fof(f351,plain,
spl0_2,
inference(avatar_split_clause,[],[f196,f348]) ).
fof(f348,plain,
( spl0_2
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f196,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f192]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f345,plain,
spl0_1,
inference(avatar_split_clause,[],[f189,f342]) ).
fof(f342,plain,
( spl0_1
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC036-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n012.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 20:28:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (22044)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (22047)WARNING: value z3 for option sas not known
% 0.15/0.38 % (22045)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (22046)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (22048)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (22049)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)
% 0.15/0.38 % (22047)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)
% 0.15/0.38 % (22050)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)
% 0.15/0.38 % (22051)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)
% 0.15/0.39 % (22049)First to succeed.
% 0.15/0.39 % (22050)Also succeeded, but the first one will report.
% 0.15/0.39 % (22049)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22044"
% 0.15/0.39 % (22051)Also succeeded, but the first one will report.
% 0.15/0.39 % (22049)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (22049)------------------------------
% 0.15/0.39 % (22049)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (22049)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (22049)Memory used [KB]: 1063
% 0.15/0.39 % (22049)Time elapsed: 0.008 s
% 0.15/0.39 % (22049)Instructions burned: 11 (million)
% 0.15/0.39 % (22044)Success in time 0.028 s
%------------------------------------------------------------------------------