TSTP Solution File: SWC054-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC054-1 : 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 : 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 : Wed Aug 31 18:38:27 EDT 2022
% Result : Unsatisfiable 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 56 ( 4 unt; 0 def)
% Number of atoms : 154 ( 20 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 194 ( 96 ~; 94 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f302,plain,
$false,
inference(avatar_sat_refutation,[],[f242,f259,f269,f280,f299]) ).
fof(f299,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f298]) ).
fof(f298,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f297,f284]) ).
fof(f284,plain,
( segmentP(nil,sk5)
| ~ spl0_1
| ~ spl0_4 ),
inference(superposition,[],[f271,f267]) ).
fof(f267,plain,
( nil = sk2
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f266,plain,
( spl0_4
<=> nil = sk2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f271,plain,
( segmentP(sk2,sk5)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f246,f236]) ).
fof(f236,plain,
( neq(sk2,nil)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f235,plain,
( spl0_1
<=> neq(sk2,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f246,plain,
( ~ neq(sk2,nil)
| segmentP(sk2,sk5) ),
inference(forward_demodulation,[],[f245,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f245,plain,
( segmentP(sk2,sk5)
| ~ neq(sk4,nil) ),
inference(forward_demodulation,[],[f195,f190]) ).
fof(f195,axiom,
( segmentP(sk4,sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f297,plain,
( ~ segmentP(nil,sk5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f294,f241]) ).
fof(f241,plain,
( ssList(sk5)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f239,plain,
( spl0_2
<=> ssList(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f294,plain,
( ~ ssList(sk5)
| ~ segmentP(nil,sk5)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(resolution,[],[f292,f270]) ).
fof(f270,plain,
( neq(sk5,nil)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f244,f236]) ).
fof(f244,plain,
( ~ neq(sk2,nil)
| neq(sk5,nil) ),
inference(forward_demodulation,[],[f194,f190]) ).
fof(f194,axiom,
( neq(sk5,nil)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f292,plain,
( ! [X6] :
( ~ neq(X6,nil)
| ~ ssList(X6)
| ~ segmentP(nil,X6) )
| ~ spl0_3
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f291]) ).
fof(f291,plain,
( ! [X6] :
( ~ ssList(X6)
| ~ neq(X6,nil)
| ~ segmentP(nil,X6)
| ~ segmentP(nil,X6) )
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f290,f281]) ).
fof(f281,plain,
( nil = sk1
| ~ spl0_3 ),
inference(superposition,[],[f264,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f264,plain,
( nil = sk3
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f262,plain,
( spl0_3
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f290,plain,
( ! [X6] :
( ~ segmentP(nil,X6)
| ~ ssList(X6)
| ~ neq(X6,nil)
| ~ segmentP(sk1,X6) )
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f289,f267]) ).
fof(f289,plain,
( ! [X6] :
( ~ ssList(X6)
| ~ segmentP(sk2,X6)
| ~ neq(X6,nil)
| ~ segmentP(sk1,X6) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f200,f281]) ).
fof(f200,axiom,
! [X6] :
( ~ segmentP(sk2,X6)
| nil != sk1
| ~ neq(X6,nil)
| ~ ssList(X6)
| ~ segmentP(sk1,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f280,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f279]) ).
fof(f279,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_4 ),
inference(subsumption_resolution,[],[f278,f271]) ).
fof(f278,plain,
( ~ segmentP(sk2,sk5)
| ~ spl0_1
| ~ spl0_2
| spl0_4 ),
inference(subsumption_resolution,[],[f277,f272]) ).
fof(f272,plain,
( segmentP(sk1,sk5)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f260,f236]) ).
fof(f260,plain,
( ~ neq(sk2,nil)
| segmentP(sk1,sk5) ),
inference(forward_demodulation,[],[f247,f191]) ).
fof(f247,plain,
( segmentP(sk3,sk5)
| ~ neq(sk2,nil) ),
inference(forward_demodulation,[],[f196,f190]) ).
fof(f196,axiom,
( ~ neq(sk4,nil)
| segmentP(sk3,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f277,plain,
( ~ segmentP(sk1,sk5)
| ~ segmentP(sk2,sk5)
| ~ spl0_1
| ~ spl0_2
| spl0_4 ),
inference(subsumption_resolution,[],[f275,f241]) ).
fof(f275,plain,
( ~ ssList(sk5)
| ~ segmentP(sk1,sk5)
| ~ segmentP(sk2,sk5)
| ~ spl0_1
| spl0_4 ),
inference(resolution,[],[f273,f270]) ).
fof(f273,plain,
( ! [X6] :
( ~ neq(X6,nil)
| ~ ssList(X6)
| ~ segmentP(sk2,X6)
| ~ segmentP(sk1,X6) )
| spl0_4 ),
inference(subsumption_resolution,[],[f198,f268]) ).
fof(f268,plain,
( nil != sk2
| spl0_4 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f198,axiom,
! [X6] :
( ~ segmentP(sk1,X6)
| nil = sk2
| ~ segmentP(sk2,X6)
| ~ ssList(X6)
| ~ neq(X6,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f269,plain,
( spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f243,f266,f262]) ).
fof(f243,plain,
( nil != sk2
| nil = sk3 ),
inference(forward_demodulation,[],[f192,f190]) ).
fof(f192,axiom,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f259,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f258]) ).
fof(f258,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f254,f251]) ).
fof(f251,plain,
( nil != sk1
| spl0_1 ),
inference(subsumption_resolution,[],[f199,f237]) ).
fof(f237,plain,
( ~ neq(sk2,nil)
| spl0_1 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f199,axiom,
( nil != sk1
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f254,plain,
( nil = sk1
| spl0_1 ),
inference(superposition,[],[f191,f252]) ).
fof(f252,plain,
( nil = sk3
| spl0_1 ),
inference(subsumption_resolution,[],[f243,f248]) ).
fof(f248,plain,
( nil = sk2
| spl0_1 ),
inference(subsumption_resolution,[],[f197,f237]) ).
fof(f197,axiom,
( neq(sk2,nil)
| nil = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f242,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f233,f239,f235]) ).
fof(f233,plain,
( ssList(sk5)
| ~ neq(sk2,nil) ),
inference(forward_demodulation,[],[f193,f190]) ).
fof(f193,axiom,
( ~ neq(sk4,nil)
| ssList(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWC054-1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 18:01:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (14633)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)
% 0.18/0.49 % (14641)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)
% 0.18/0.50 % (14634)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.18/0.50 % (14635)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.50 % (14641)First to succeed.
% 0.18/0.50 % (14649)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.51 % (14641)Refutation found. Thanks to Tanya!
% 0.18/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (14641)------------------------------
% 0.18/0.51 % (14641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (14641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (14641)Termination reason: Refutation
% 0.18/0.51
% 0.18/0.51 % (14641)Memory used [KB]: 6012
% 0.18/0.51 % (14641)Time elapsed: 0.111 s
% 0.18/0.51 % (14641)Instructions burned: 8 (million)
% 0.18/0.51 % (14641)------------------------------
% 0.18/0.51 % (14641)------------------------------
% 0.18/0.51 % (14626)Success in time 0.168 s
%------------------------------------------------------------------------------