TSTP Solution File: SWC010-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC010-1 : 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 : n015.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 18:38:11 EDT 2022
% Result : Unsatisfiable 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 40 ( 5 unt; 0 def)
% Number of atoms : 121 ( 20 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 163 ( 82 ~; 74 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f416,plain,
$false,
inference(avatar_sat_refutation,[],[f239,f240,f245,f250,f256,f261,f270,f415]) ).
fof(f415,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f414]) ).
fof(f414,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f413,f234]) ).
fof(f234,plain,
( ssList(sk6)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f232,plain,
( spl0_1
<=> ssList(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f413,plain,
( ~ ssList(sk6)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f412,f268]) ).
fof(f268,plain,
( ssList(sk7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f266,plain,
( spl0_7
<=> ssList(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f412,plain,
( ~ ssList(sk7)
| ~ ssList(sk6)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f411,f249]) ).
fof(f249,plain,
( sk3 = app(sk6,sk7)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f247,plain,
( spl0_4
<=> sk3 = app(sk6,sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f411,plain,
( sk3 != app(sk6,sk7)
| ~ ssList(sk7)
| ~ ssList(sk6)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f405,f244]) ).
fof(f244,plain,
( ssItem(sk5)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f242,plain,
( spl0_3
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f405,plain,
( ~ ssItem(sk5)
| ~ ssList(sk7)
| sk3 != app(sk6,sk7)
| ~ ssList(sk6)
| ~ spl0_5
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f403]) ).
fof(f403,plain,
( sk3 != app(sk6,sk7)
| ~ ssList(sk6)
| ~ ssItem(sk5)
| sk4 != sk4
| ~ ssList(sk7)
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f259,f255]) ).
fof(f255,plain,
( sk4 = app(app(sk6,cons(sk5,nil)),sk7)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f253,plain,
( spl0_5
<=> sk4 = app(app(sk6,cons(sk5,nil)),sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f259,plain,
( ! [X8,X6,X7] :
( sk4 != app(app(X7,cons(X6,nil)),X8)
| sk3 != app(X7,X8)
| ~ ssList(X7)
| ~ ssList(X8)
| ~ ssItem(X6) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f258,plain,
( spl0_6
<=> ! [X6,X8,X7] :
( ~ ssList(X8)
| sk3 != app(X7,X8)
| ~ ssList(X7)
| ~ ssItem(X6)
| sk4 != app(app(X7,cons(X6,nil)),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f270,plain,
( spl0_7
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f204,f236,f266]) ).
fof(f236,plain,
( spl0_2
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f204,axiom,
( ~ neq(sk4,nil)
| ssList(sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_19) ).
fof(f261,plain,
( ~ spl0_2
| spl0_6 ),
inference(avatar_split_clause,[],[f218,f258,f236]) ).
fof(f218,plain,
! [X8,X6,X7] :
( ~ ssItem(X6)
| ~ neq(sk4,nil)
| ~ ssList(X8)
| ~ ssList(X7)
| sk3 != app(X7,X8)
| sk4 != app(app(X7,cons(X6,nil)),X8) ),
inference(definition_unfolding,[],[f201,f190,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f201,axiom,
! [X8,X6,X7] :
( ~ ssList(X7)
| ~ neq(sk4,nil)
| ~ ssItem(X6)
| ~ ssList(X8)
| sk2 != app(app(X7,cons(X6,nil)),X8)
| sk1 != app(X7,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f256,plain,
( ~ spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f205,f253,f236]) ).
fof(f205,axiom,
( sk4 = app(app(sk6,cons(sk5,nil)),sk7)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_20) ).
fof(f250,plain,
( spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f206,f236,f247]) ).
fof(f206,axiom,
( ~ neq(sk4,nil)
| sk3 = app(sk6,sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_21) ).
fof(f245,plain,
( ~ spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f202,f242,f236]) ).
fof(f202,axiom,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f240,plain,
spl0_2,
inference(avatar_split_clause,[],[f230,f236]) ).
fof(f230,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f211]) ).
fof(f211,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f192,f190,f190]) ).
fof(f192,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f239,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f203,f236,f232]) ).
fof(f203,axiom,
( ~ neq(sk4,nil)
| ssList(sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWC010-1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 18:05:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.51 % (26981)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)
% 0.20/0.52 % (26989)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)
% 0.20/0.52 % (26966)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.53 % (26980)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)
% 0.20/0.53 % (26978)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.53 % (26973)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (26978)Instruction limit reached!
% 0.20/0.53 % (26978)------------------------------
% 0.20/0.53 % (26978)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (26978)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (26978)Termination reason: Unknown
% 0.20/0.53 % (26978)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (26978)Memory used [KB]: 6012
% 0.20/0.53 % (26978)Time elapsed: 0.005 s
% 0.20/0.53 % (26978)Instructions burned: 6 (million)
% 0.20/0.53 % (26978)------------------------------
% 0.20/0.53 % (26978)------------------------------
% 0.20/0.54 % (26967)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)
% 0.20/0.54 % (26981)Instruction limit reached!
% 0.20/0.54 % (26981)------------------------------
% 0.20/0.54 % (26981)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (26981)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (26981)Termination reason: Unknown
% 0.20/0.54 % (26981)Termination phase: Finite model building preprocessing
% 0.20/0.54
% 0.20/0.54 % (26981)Memory used [KB]: 1535
% 0.20/0.54 % (26981)Time elapsed: 0.007 s
% 0.20/0.54 % (26981)Instructions burned: 6 (million)
% 0.20/0.54 % (26981)------------------------------
% 0.20/0.54 % (26981)------------------------------
% 0.20/0.54 % (26968)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.54 % (26970)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)
% 0.20/0.54 % (26971)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.54 % (26973)First to succeed.
% 0.20/0.54 % (26979)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.55 % (26972)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.55 % (26971)Also succeeded, but the first one will report.
% 0.20/0.55 % (26973)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (26973)------------------------------
% 0.20/0.55 % (26973)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (26973)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (26973)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (26973)Memory used [KB]: 6140
% 0.20/0.55 % (26973)Time elapsed: 0.136 s
% 0.20/0.55 % (26973)Instructions burned: 10 (million)
% 0.20/0.55 % (26973)------------------------------
% 0.20/0.55 % (26973)------------------------------
% 0.20/0.55 % (26965)Success in time 0.203 s
%------------------------------------------------------------------------------