TSTP Solution File: SWC069-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC069-1 : 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 : 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 : Wed Aug 31 18:38:34 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 21
% Syntax : Number of formulae : 40 ( 7 unt; 0 def)
% Number of atoms : 87 ( 12 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 88 ( 41 ~; 38 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f362,plain,
$false,
inference(avatar_sat_refutation,[],[f254,f256,f261,f270,f285,f286,f295,f343,f349,f361]) ).
fof(f361,plain,
( ~ spl0_13
| ~ spl0_11
| ~ spl0_6
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f360,f251,f258,f282,f292]) ).
fof(f292,plain,
( spl0_13
<=> ssList(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f282,plain,
( spl0_11
<=> segmentP(sk3,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f258,plain,
( spl0_6
<=> segmentP(sk4,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f251,plain,
( spl0_5
<=> neq(sk5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f360,plain,
( ~ segmentP(sk4,sk5)
| ~ segmentP(sk3,sk5)
| ~ ssList(sk5)
| ~ spl0_5 ),
inference(resolution,[],[f253,f200]) ).
fof(f200,plain,
! [X6] :
( ~ neq(X6,nil)
| ~ segmentP(sk4,X6)
| ~ ssList(X6)
| ~ segmentP(sk3,X6) ),
inference(definition_unfolding,[],[f192,f190,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f192,axiom,
! [X6] :
( ~ ssList(X6)
| ~ segmentP(sk2,X6)
| ~ segmentP(sk1,X6)
| ~ neq(X6,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f253,plain,
( neq(sk5,nil)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f349,plain,
spl0_17,
inference(avatar_contradiction_clause,[],[f348]) ).
fof(f348,plain,
( $false
| spl0_17 ),
inference(resolution,[],[f342,f189]) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f342,plain,
( ~ ssList(sk4)
| spl0_17 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f340,plain,
( spl0_17
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f343,plain,
( ~ spl0_2
| ~ spl0_17
| spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f332,f247,f263,f340,f237]) ).
fof(f237,plain,
( spl0_2
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f263,plain,
( spl0_7
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f247,plain,
( spl0_4
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f332,plain,
( nil = sk4
| ~ ssList(sk4)
| ~ ssList(nil)
| spl0_4 ),
inference(resolution,[],[f100,f249]) ).
fof(f249,plain,
( ~ neq(sk4,nil)
| spl0_4 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f295,plain,
( ~ spl0_4
| spl0_13 ),
inference(avatar_split_clause,[],[f195,f292,f247]) ).
fof(f195,axiom,
( ssList(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f286,plain,
( ~ spl0_8
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f202,f263,f267]) ).
fof(f267,plain,
( spl0_8
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f202,plain,
( nil != sk4
| nil != sk3 ),
inference(definition_unfolding,[],[f194,f191,f190]) ).
fof(f194,axiom,
( nil != sk1
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f285,plain,
( spl0_11
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f198,f247,f282]) ).
fof(f198,axiom,
( ~ neq(sk4,nil)
| segmentP(sk3,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f270,plain,
( ~ spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f193,f267,f263]) ).
fof(f193,axiom,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f261,plain,
( spl0_6
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f197,f247,f258]) ).
fof(f197,axiom,
( ~ neq(sk4,nil)
| segmentP(sk4,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f256,plain,
spl0_2,
inference(avatar_split_clause,[],[f8,f237]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f254,plain,
( ~ spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f196,f251,f247]) ).
fof(f196,axiom,
( neq(sk5,nil)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC069-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 18:03:34 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.19/0.50 % (18822)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.51 % (18845)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.52 % (18836)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.52 % (18827)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.52 % (18846)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52 % (18837)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.52 % (18827)First to succeed.
% 0.19/0.52 % (18827)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (18827)------------------------------
% 0.19/0.52 % (18827)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (18827)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (18827)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (18827)Memory used [KB]: 6140
% 0.19/0.52 % (18827)Time elapsed: 0.109 s
% 0.19/0.52 % (18827)Instructions burned: 8 (million)
% 0.19/0.52 % (18827)------------------------------
% 0.19/0.52 % (18827)------------------------------
% 0.19/0.52 % (18817)Success in time 0.171 s
%------------------------------------------------------------------------------