TSTP Solution File: SWC218-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC218-1 : 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 : n027.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 18:39:40 EDT 2022
% Result : Unsatisfiable 0.49s 0.69s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 18
% Syntax : Number of formulae : 50 ( 15 unt; 0 def)
% Number of atoms : 109 ( 24 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 118 ( 59 ~; 55 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f543,plain,
$false,
inference(avatar_sat_refutation,[],[f267,f409,f476,f503,f542]) ).
fof(f542,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f541]) ).
fof(f541,plain,
( $false
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f540,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f540,plain,
( ~ ssList(nil)
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f528,f195]) ).
fof(f195,axiom,
ssItem(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f528,plain,
( ~ ssItem(sk7)
| ~ ssList(nil)
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f526]) ).
fof(f526,plain,
( ~ ssList(nil)
| nil != nil
| ~ ssItem(sk7)
| ~ spl0_6 ),
inference(superposition,[],[f99,f475]) ).
fof(f475,plain,
( nil = cons(sk7,nil)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f473,plain,
( spl0_6
<=> nil = cons(sk7,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f99,axiom,
! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f503,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f502]) ).
fof(f502,plain,
( $false
| spl0_5 ),
inference(subsumption_resolution,[],[f501,f8]) ).
fof(f501,plain,
( ~ ssList(nil)
| spl0_5 ),
inference(resolution,[],[f471,f223]) ).
fof(f223,plain,
! [X0] :
( ssList(cons(sk7,X0))
| ~ ssList(X0) ),
inference(resolution,[],[f86,f195]) ).
fof(f86,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f471,plain,
( ~ ssList(cons(sk7,nil))
| spl0_5 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f469,plain,
( spl0_5
<=> ssList(cons(sk7,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f476,plain,
( ~ spl0_5
| spl0_6
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f467,f260,f473,f469]) ).
fof(f260,plain,
( spl0_1
<=> nil = app(sk5,cons(sk7,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f467,plain,
( nil = cons(sk7,nil)
| ~ ssList(cons(sk7,nil))
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f466,f192]) ).
fof(f192,axiom,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f466,plain,
( ~ ssList(sk5)
| ~ ssList(cons(sk7,nil))
| nil = cons(sk7,nil)
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f460]) ).
fof(f460,plain,
( ~ ssList(sk5)
| nil != nil
| ~ ssList(cons(sk7,nil))
| nil = cons(sk7,nil)
| ~ spl0_1 ),
inference(superposition,[],[f119,f262]) ).
fof(f262,plain,
( nil = app(sk5,cons(sk7,nil))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f119,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f409,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f408]) ).
fof(f408,plain,
( $false
| spl0_2 ),
inference(subsumption_resolution,[],[f407,f8]) ).
fof(f407,plain,
( ~ ssList(nil)
| spl0_2 ),
inference(resolution,[],[f397,f223]) ).
fof(f397,plain,
( ~ ssList(cons(sk7,nil))
| spl0_2 ),
inference(subsumption_resolution,[],[f396,f192]) ).
fof(f396,plain,
( ~ ssList(cons(sk7,nil))
| ~ ssList(sk5)
| spl0_2 ),
inference(resolution,[],[f266,f85]) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f266,plain,
( ~ ssList(app(sk5,cons(sk7,nil)))
| spl0_2 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f264,plain,
( spl0_2
<=> ssList(app(sk5,cons(sk7,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f267,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f258,f264,f260]) ).
fof(f258,plain,
( ~ ssList(app(sk5,cons(sk7,nil)))
| nil = app(sk5,cons(sk7,nil)) ),
inference(subsumption_resolution,[],[f257,f193]) ).
fof(f193,axiom,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f257,plain,
( ~ ssList(sk6)
| nil = app(sk5,cons(sk7,nil))
| ~ ssList(app(sk5,cons(sk7,nil))) ),
inference(subsumption_resolution,[],[f256,f235]) ).
fof(f235,plain,
nil = sk3,
inference(subsumption_resolution,[],[f234,f200]) ).
fof(f200,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f234,plain,
( ~ ssList(sk3)
| nil = sk3 ),
inference(subsumption_resolution,[],[f229,f8]) ).
fof(f229,plain,
( ~ ssList(nil)
| ~ ssList(sk3)
| nil = sk3 ),
inference(resolution,[],[f100,f198]) ).
fof(f198,plain,
~ neq(sk3,nil),
inference(definition_unfolding,[],[f197,f191]) ).
fof(f197,axiom,
~ neq(sk1,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f256,plain,
( nil != sk3
| ~ ssList(app(sk5,cons(sk7,nil)))
| nil = app(sk5,cons(sk7,nil))
| ~ ssList(sk6) ),
inference(superposition,[],[f118,f196]) ).
fof(f196,axiom,
sk3 = app(app(sk5,cons(sk7,nil)),sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f118,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC218-1 : 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
% 0.13/0.34 % Computer : n027.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 18:50:01 EDT 2022
% 0.13/0.34 % CPUTime :
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% 0.19/0.52 ipcrm: permission denied for id (681508990)
% 0.45/0.65 % (28706)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 (2998ds/4Mi)
% 0.45/0.65 % (28706)Instruction limit reached!
% 0.45/0.65 % (28706)------------------------------
% 0.45/0.65 % (28706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.45/0.65 % (28706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.45/0.65 % (28706)Termination reason: Unknown
% 0.45/0.65 % (28706)Termination phase: Property scanning
% 0.45/0.65
% 0.45/0.65 % (28706)Memory used [KB]: 1535
% 0.45/0.65 % (28706)Time elapsed: 0.004 s
% 0.45/0.65 % (28706)Instructions burned: 5 (million)
% 0.45/0.65 % (28706)------------------------------
% 0.45/0.65 % (28706)------------------------------
% 0.45/0.66 % (28707)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 (2998ds/43Mi)
% 0.45/0.67 % (28731)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/73Mi)
% 0.49/0.67 % (28723)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 (2998ds/7Mi)
% 0.49/0.68 % (28713)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 0.49/0.68 % (28705)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 (2998ds/42Mi)
% 0.49/0.68 % (28717)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 (2998ds/3Mi)
% 0.49/0.68 % (28708)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 (2998ds/34Mi)
% 0.49/0.68 % (28707)First to succeed.
% 0.49/0.68 % (28723)Instruction limit reached!
% 0.49/0.68 % (28723)------------------------------
% 0.49/0.68 % (28723)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.49/0.68 % (28723)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.49/0.68 % (28723)Termination reason: Unknown
% 0.49/0.68 % (28723)Termination phase: Saturation
% 0.49/0.68
% 0.49/0.68 % (28723)Memory used [KB]: 1535
% 0.49/0.68 % (28723)Time elapsed: 0.009 s
% 0.49/0.68 % (28723)Instructions burned: 8 (million)
% 0.49/0.68 % (28723)------------------------------
% 0.49/0.68 % (28723)------------------------------
% 0.49/0.68 % (28727)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 (2998ds/37Mi)
% 0.49/0.69 % (28717)Instruction limit reached!
% 0.49/0.69 % (28717)------------------------------
% 0.49/0.69 % (28717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.49/0.69 % (28714)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 0.49/0.69 % (28719)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 0.49/0.69 % (28720)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.49/0.69 % (28717)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.49/0.69 % (28707)Refutation found. Thanks to Tanya!
% 0.49/0.69 % SZS status Unsatisfiable for theBenchmark
% 0.49/0.69 % SZS output start Proof for theBenchmark
% See solution above
% 0.49/0.69 % (28707)------------------------------
% 0.49/0.69 % (28707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.49/0.69 % (28707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.49/0.69 % (28707)Termination reason: Refutation
% 0.49/0.69
% 0.49/0.69 % (28707)Memory used [KB]: 6140
% 0.49/0.69 % (28707)Time elapsed: 0.103 s
% 0.49/0.69 % (28707)Instructions burned: 12 (million)
% 0.49/0.69 % (28707)------------------------------
% 0.49/0.69 % (28707)------------------------------
% 0.49/0.69 % (28474)Success in time 0.345 s
%------------------------------------------------------------------------------