TSTP Solution File: SWC241-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC241-1 : 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 18:39:49 EDT 2022
% Result : Unsatisfiable 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 49 ( 5 unt; 0 def)
% Number of atoms : 178 ( 20 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 257 ( 128 ~; 124 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f383,plain,
$false,
inference(avatar_sat_refutation,[],[f231,f232,f237,f242,f247,f382]) ).
fof(f382,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f381]) ).
fof(f381,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f380,f230]) ).
fof(f230,plain,
( ssItem(sk6)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f228,plain,
( spl0_3
<=> ssItem(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f380,plain,
( ~ ssItem(sk6)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f379,f367]) ).
fof(f367,plain,
( ~ leq(sk6,sk5(sk8,sk7,sk6))
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f366,f241]) ).
fof(f241,plain,
( ssList(sk7)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f239,plain,
( spl0_5
<=> ssList(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f366,plain,
( ~ leq(sk6,sk5(sk8,sk7,sk6))
| ~ ssList(sk7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f365,f246]) ).
fof(f246,plain,
( ssList(sk8)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f244,plain,
( spl0_6
<=> ssList(sk8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f365,plain,
( ~ leq(sk6,sk5(sk8,sk7,sk6))
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f360,f230]) ).
fof(f360,plain,
( ~ ssItem(sk6)
| ~ leq(sk6,sk5(sk8,sk7,sk6))
| ~ ssList(sk7)
| ~ ssList(sk8)
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f358]) ).
fof(f358,plain,
( ~ leq(sk6,sk5(sk8,sk7,sk6))
| ~ ssList(sk7)
| ~ ssItem(sk6)
| sk3 != sk3
| ~ ssList(sk8)
| ~ spl0_4 ),
inference(superposition,[],[f206,f236]) ).
fof(f236,plain,
( sk3 = app(app(sk7,cons(sk6,nil)),sk8)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f234,plain,
( spl0_4
<=> sk3 = app(app(sk7,cons(sk6,nil)),sk8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f206,plain,
! [X8,X6,X7] :
( sk3 != app(app(X7,cons(X6,nil)),X8)
| ~ leq(X6,sk5(X8,X7,X6))
| ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8) ),
inference(definition_unfolding,[],[f197,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f197,axiom,
! [X8,X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X8)
| ~ ssList(X7)
| ~ leq(X6,sk5(X8,X7,X6))
| sk1 != app(app(X7,cons(X6,nil)),X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f379,plain,
( leq(sk6,sk5(sk8,sk7,sk6))
| ~ ssItem(sk6)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f372,f333]) ).
fof(f333,plain,
( ssItem(sk5(sk8,sk7,sk6))
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f332,f230]) ).
fof(f332,plain,
( ssItem(sk5(sk8,sk7,sk6))
| ~ ssItem(sk6)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f331,f246]) ).
fof(f331,plain,
( ~ ssList(sk8)
| ~ ssItem(sk6)
| ssItem(sk5(sk8,sk7,sk6))
| ~ spl0_4
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f329,f241]) ).
fof(f329,plain,
( ~ ssList(sk7)
| ~ ssItem(sk6)
| ~ ssList(sk8)
| ssItem(sk5(sk8,sk7,sk6))
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f326]) ).
fof(f326,plain,
( ~ ssItem(sk6)
| ~ ssList(sk7)
| sk3 != sk3
| ~ ssList(sk8)
| ssItem(sk5(sk8,sk7,sk6))
| ~ spl0_4 ),
inference(superposition,[],[f208,f236]) ).
fof(f208,plain,
! [X8,X6,X7] :
( sk3 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| ~ ssItem(X6)
| ~ ssList(X7)
| ssItem(sk5(X8,X7,X6)) ),
inference(definition_unfolding,[],[f193,f191]) ).
fof(f193,axiom,
! [X8,X6,X7] :
( ssItem(sk5(X8,X7,X6))
| sk1 != app(app(X7,cons(X6,nil)),X8)
| ~ ssItem(X6)
| ~ ssList(X8)
| ~ ssList(X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f372,plain,
( ~ ssItem(sk5(sk8,sk7,sk6))
| ~ ssItem(sk6)
| leq(sk6,sk5(sk8,sk7,sk6))
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f348,f103]) ).
fof(f103,axiom,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f348,plain,
( lt(sk6,sk5(sk8,sk7,sk6))
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f347,f230]) ).
fof(f347,plain,
( lt(sk6,sk5(sk8,sk7,sk6))
| ~ ssItem(sk6)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f346,f246]) ).
fof(f346,plain,
( lt(sk6,sk5(sk8,sk7,sk6))
| ~ ssList(sk8)
| ~ ssItem(sk6)
| ~ spl0_4
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f345,f241]) ).
fof(f345,plain,
( ~ ssList(sk7)
| ~ ssItem(sk6)
| lt(sk6,sk5(sk8,sk7,sk6))
| ~ ssList(sk8)
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f342]) ).
fof(f342,plain,
( sk3 != sk3
| ~ ssItem(sk6)
| ~ ssList(sk8)
| lt(sk6,sk5(sk8,sk7,sk6))
| ~ ssList(sk7)
| ~ spl0_4 ),
inference(superposition,[],[f205,f236]) ).
fof(f205,plain,
! [X8,X6,X7] :
( sk3 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| ~ ssItem(X6)
| lt(X6,sk5(X8,X7,X6))
| ~ ssList(X7) ),
inference(definition_unfolding,[],[f196,f191]) ).
fof(f196,axiom,
! [X8,X6,X7] :
( ~ ssItem(X6)
| lt(X6,sk5(X8,X7,X6))
| ~ ssList(X7)
| sk1 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f247,plain,
( spl0_6
| spl0_1 ),
inference(avatar_split_clause,[],[f200,f220,f244]) ).
fof(f220,plain,
( spl0_1
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f200,axiom,
( nil = sk3
| ssList(sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f242,plain,
( spl0_5
| spl0_1 ),
inference(avatar_split_clause,[],[f199,f220,f239]) ).
fof(f199,axiom,
( nil = sk3
| ssList(sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f237,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f201,f234,f220]) ).
fof(f201,axiom,
( sk3 = app(app(sk7,cons(sk6,nil)),sk8)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f232,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f203,f220]) ).
fof(f203,plain,
nil != sk3,
inference(definition_unfolding,[],[f192,f191]) ).
fof(f192,axiom,
nil != sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f231,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f198,f228,f220]) ).
fof(f198,axiom,
( ssItem(sk6)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC241-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13 % 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 18:34:19 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.50 % (23139)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.51 % (23162)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)
% 0.20/0.51 % (23151)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)
% 0.20/0.51 % (23146)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)
% 0.20/0.52 % (23143)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)
% 0.20/0.52 % (23165)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.52 % (23150)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)
% 0.20/0.52 % (23140)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)
% 0.20/0.52 % (23166)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 (2999ds/73Mi)
% 0.20/0.53 % (23157)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.53 % (23141)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)
% 0.20/0.53 % (23141)Instruction limit reached!
% 0.20/0.53 % (23141)------------------------------
% 0.20/0.53 % (23141)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (23141)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (23141)Termination reason: Unknown
% 0.20/0.53 % (23141)Termination phase: Property scanning
% 0.20/0.53
% 0.20/0.53 % (23141)Memory used [KB]: 1535
% 0.20/0.53 % (23141)Time elapsed: 0.003 s
% 0.20/0.53 % (23141)Instructions burned: 4 (million)
% 0.20/0.53 % (23141)------------------------------
% 0.20/0.53 % (23141)------------------------------
% 0.20/0.53 % (23146)First to succeed.
% 0.20/0.53 % (23161)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)
% 0.20/0.53 % (23158)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)
% 0.20/0.53 % (23151)Instruction limit reached!
% 0.20/0.53 % (23151)------------------------------
% 0.20/0.53 % (23151)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (23151)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (23151)Termination reason: Unknown
% 0.20/0.53 % (23151)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (23151)Memory used [KB]: 6012
% 0.20/0.53 % (23151)Time elapsed: 0.005 s
% 0.20/0.53 % (23151)Instructions burned: 5 (million)
% 0.20/0.53 % (23151)------------------------------
% 0.20/0.53 % (23151)------------------------------
% 0.20/0.53 % (23149)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 (2999ds/6Mi)
% 0.20/0.53 % (23163)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.53 % (23152)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)
% 0.20/0.53 % (23154)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)
% 0.20/0.53 % (23142)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)
% 0.20/0.53 % (23144)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 % (23152)Instruction limit reached!
% 0.20/0.54 % (23152)------------------------------
% 0.20/0.54 % (23152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (23149)Instruction limit reached!
% 0.20/0.54 % (23149)------------------------------
% 0.20/0.54 % (23149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (23155)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 (2999ds/2Mi)
% 0.20/0.54 % (23146)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (23146)------------------------------
% 0.20/0.54 % (23146)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (23146)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (23146)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (23146)Memory used [KB]: 6140
% 0.20/0.54 % (23146)Time elapsed: 0.126 s
% 0.20/0.54 % (23146)Instructions burned: 9 (million)
% 0.20/0.54 % (23146)------------------------------
% 0.20/0.54 % (23146)------------------------------
% 0.20/0.54 % (23138)Success in time 0.187 s
%------------------------------------------------------------------------------