TSTP Solution File: SWC379-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC379-1 : 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 : n006.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 18:40:49 EDT 2022
% Result : Unsatisfiable 0.16s 0.51s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 22
% Syntax : Number of formulae : 68 ( 4 unt; 0 def)
% Number of atoms : 240 ( 24 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 316 ( 144 ~; 165 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f348,plain,
$false,
inference(avatar_sat_refutation,[],[f223,f232,f237,f238,f243,f248,f288,f344,f347]) ).
fof(f347,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f346]) ).
fof(f346,plain,
( $false
| ~ spl0_1
| spl0_4 ),
inference(subsumption_resolution,[],[f345,f198]) ).
fof(f198,axiom,
ssItem(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f345,plain,
( ~ ssItem(sk6)
| ~ spl0_1
| spl0_4 ),
inference(subsumption_resolution,[],[f305,f231]) ).
fof(f231,plain,
( ~ memberP(sk4,sk6)
| spl0_4 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f229,plain,
( spl0_4
<=> memberP(sk4,sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f305,plain,
( memberP(sk4,sk6)
| ~ ssItem(sk6)
| ~ spl0_1 ),
inference(resolution,[],[f219,f196]) ).
fof(f196,axiom,
! [X6] :
( ~ memberP(sk3,X6)
| ~ ssItem(X6)
| memberP(sk4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f219,plain,
( memberP(sk3,sk6)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f217,plain,
( spl0_1
<=> memberP(sk3,sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f344,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f343]) ).
fof(f343,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(subsumption_resolution,[],[f342,f227]) ).
fof(f227,plain,
( leq(sk7,sk6)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f225,plain,
( spl0_3
<=> leq(sk7,sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f342,plain,
( ~ leq(sk7,sk6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| spl0_7 ),
inference(subsumption_resolution,[],[f341,f247]) ).
fof(f247,plain,
( sk6 != sk7
| spl0_7 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f245,plain,
( spl0_7
<=> sk6 = sk7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f341,plain,
( sk6 = sk7
| ~ leq(sk7,sk6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f339,f198]) ).
fof(f339,plain,
( ~ ssItem(sk6)
| sk6 = sk7
| ~ leq(sk7,sk6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f326,f219]) ).
fof(f326,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| sk7 = X0
| ~ leq(sk7,X0) )
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f313,f242]) ).
fof(f242,plain,
( ssItem(sk7)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f240,plain,
( spl0_6
<=> ssItem(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f313,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ leq(sk7,X0)
| ~ ssItem(sk7)
| ~ ssItem(X0)
| sk7 = X0 )
| ~ spl0_5 ),
inference(resolution,[],[f236,f197]) ).
fof(f197,axiom,
! [X6,X7] :
( ~ memberP(sk4,X7)
| ~ ssItem(X6)
| X6 = X7
| ~ leq(X7,X6)
| ~ memberP(sk3,X6)
| ~ ssItem(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f236,plain,
( memberP(sk4,sk7)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f234,plain,
( spl0_5
<=> memberP(sk4,sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f288,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f287]) ).
fof(f287,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f286,f218]) ).
fof(f218,plain,
( ~ memberP(sk3,sk6)
| spl0_1 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f286,plain,
( memberP(sk3,sk6)
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f285,f230]) ).
fof(f230,plain,
( memberP(sk4,sk6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f285,plain,
( ~ memberP(sk4,sk6)
| memberP(sk3,sk6)
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f284,f198]) ).
fof(f284,plain,
( ~ ssItem(sk6)
| ~ memberP(sk4,sk6)
| memberP(sk3,sk6)
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f280]) ).
fof(f280,plain,
( ~ memberP(sk4,sk6)
| ~ ssItem(sk6)
| memberP(sk3,sk6)
| sk6 != sk6
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f195,f272]) ).
fof(f272,plain,
( sk6 = sk5(sk6)
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f271,f198]) ).
fof(f271,plain,
( ~ ssItem(sk6)
| sk6 = sk5(sk6)
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f270,f218]) ).
fof(f270,plain,
( ~ ssItem(sk6)
| memberP(sk3,sk6)
| sk6 = sk5(sk6)
| ~ spl0_2
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f269,f230]) ).
fof(f269,plain,
( ~ memberP(sk4,sk6)
| sk6 = sk5(sk6)
| ~ ssItem(sk6)
| memberP(sk3,sk6)
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f268]) ).
fof(f268,plain,
( ~ ssItem(sk6)
| memberP(sk3,sk6)
| ~ memberP(sk4,sk6)
| ~ memberP(sk4,sk6)
| sk6 = sk5(sk6)
| ~ ssItem(sk6)
| memberP(sk3,sk6)
| ~ spl0_2 ),
inference(resolution,[],[f255,f194]) ).
fof(f194,axiom,
! [X6] :
( leq(sk5(X6),X6)
| ~ memberP(sk4,X6)
| ~ ssItem(X6)
| memberP(sk3,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f255,plain,
( ! [X0] :
( ~ leq(sk5(X0),sk6)
| ~ ssItem(X0)
| memberP(sk3,X0)
| ~ memberP(sk4,X0)
| sk6 = sk5(X0) )
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f253,f192]) ).
fof(f192,axiom,
! [X6] :
( ~ memberP(sk4,X6)
| ~ ssItem(X6)
| memberP(sk3,X6)
| ssItem(sk5(X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f253,plain,
( ! [X0] :
( sk6 = sk5(X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssItem(sk5(X0))
| ~ leq(sk5(X0),sk6)
| memberP(sk3,X0) )
| ~ spl0_2 ),
inference(resolution,[],[f193,f222]) ).
fof(f222,plain,
( ! [X6] :
( ~ memberP(sk4,X6)
| sk6 = X6
| ~ ssItem(X6)
| ~ leq(X6,sk6) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f221,plain,
( spl0_2
<=> ! [X6] :
( ~ leq(X6,sk6)
| sk6 = X6
| ~ memberP(sk4,X6)
| ~ ssItem(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f193,axiom,
! [X6] :
( memberP(sk4,sk5(X6))
| ~ ssItem(X6)
| ~ memberP(sk4,X6)
| memberP(sk3,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f195,axiom,
! [X6] :
( sk5(X6) != X6
| ~ ssItem(X6)
| ~ memberP(sk4,X6)
| memberP(sk3,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f248,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f212,f245,f229,f217]) ).
fof(f212,plain,
( sk6 != sk7
| ~ memberP(sk4,sk6)
| ~ memberP(sk3,sk6) ),
inference(definition_unfolding,[],[f204,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(f204,axiom,
( ~ memberP(sk2,sk6)
| sk6 != sk7
| ~ memberP(sk1,sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_19) ).
fof(f243,plain,
( ~ spl0_1
| spl0_6
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f206,f229,f240,f217]) ).
fof(f206,plain,
( ~ memberP(sk4,sk6)
| ssItem(sk7)
| ~ memberP(sk3,sk6) ),
inference(definition_unfolding,[],[f201,f191,f190]) ).
fof(f201,axiom,
( ssItem(sk7)
| ~ memberP(sk1,sk6)
| ~ memberP(sk2,sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f238,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f211,f229,f217]) ).
fof(f211,plain,
( memberP(sk4,sk6)
| memberP(sk3,sk6) ),
inference(definition_unfolding,[],[f199,f191,f190]) ).
fof(f199,axiom,
( memberP(sk1,sk6)
| memberP(sk2,sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f237,plain,
( ~ spl0_4
| spl0_5
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f210,f217,f234,f229]) ).
fof(f210,plain,
( ~ memberP(sk3,sk6)
| memberP(sk4,sk7)
| ~ memberP(sk4,sk6) ),
inference(definition_unfolding,[],[f202,f190,f191,f190]) ).
fof(f202,axiom,
( memberP(sk2,sk7)
| ~ memberP(sk1,sk6)
| ~ memberP(sk2,sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f232,plain,
( spl0_3
| ~ spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f208,f229,f217,f225]) ).
fof(f208,plain,
( ~ memberP(sk4,sk6)
| ~ memberP(sk3,sk6)
| leq(sk7,sk6) ),
inference(definition_unfolding,[],[f203,f190,f191]) ).
fof(f203,axiom,
( leq(sk7,sk6)
| ~ memberP(sk2,sk6)
| ~ memberP(sk1,sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f223,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f209,f221,f217]) ).
fof(f209,plain,
! [X6] :
( ~ leq(X6,sk6)
| ~ ssItem(X6)
| ~ memberP(sk4,X6)
| memberP(sk3,sk6)
| sk6 = X6 ),
inference(definition_unfolding,[],[f200,f191,f190]) ).
fof(f200,axiom,
! [X6] :
( memberP(sk1,sk6)
| ~ ssItem(X6)
| sk6 = X6
| ~ leq(X6,sk6)
| ~ memberP(sk2,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SWC379-1 : TPTP v8.1.0. Released v2.4.0.
% 0.02/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.32 % Computer : n006.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Aug 30 18:50:39 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.16/0.48 % (11327)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)
% 0.16/0.48 % (11317)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)
% 0.16/0.48 % (11318)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)
% 0.16/0.49 % (11335)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)
% 0.16/0.49 % (11333)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)
% 0.16/0.49 % (11327)Instruction limit reached!
% 0.16/0.49 % (11327)------------------------------
% 0.16/0.49 % (11327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49 % (11327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49 % (11327)Termination reason: Unknown
% 0.16/0.49 % (11327)Termination phase: Function definition elimination
% 0.16/0.49
% 0.16/0.49 % (11327)Memory used [KB]: 1407
% 0.16/0.49 % (11327)Time elapsed: 0.003 s
% 0.16/0.49 % (11327)Instructions burned: 2 (million)
% 0.16/0.49 % (11327)------------------------------
% 0.16/0.49 % (11327)------------------------------
% 0.16/0.49 % (11325)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)
% 0.16/0.49 % (11334)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)
% 0.16/0.49 % (11326)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)
% 0.16/0.49 % (11319)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.49 % (11326)Instruction limit reached!
% 0.16/0.49 % (11326)------------------------------
% 0.16/0.49 % (11326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (11319)Instruction limit reached!
% 0.16/0.50 % (11319)------------------------------
% 0.16/0.50 % (11319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (11319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (11319)Termination reason: Unknown
% 0.16/0.50 % (11319)Termination phase: Property scanning
% 0.16/0.50
% 0.16/0.50 % (11319)Memory used [KB]: 1535
% 0.16/0.50 % (11319)Time elapsed: 0.004 s
% 0.16/0.50 % (11319)Instructions burned: 4 (million)
% 0.16/0.50 % (11319)------------------------------
% 0.16/0.50 % (11319)------------------------------
% 0.16/0.50 % (11326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (11318)First to succeed.
% 0.16/0.50 % (11326)Termination reason: Unknown
% 0.16/0.50 % (11326)Termination phase: Finite model building preprocessing
% 0.16/0.50
% 0.16/0.50 % (11326)Memory used [KB]: 1535
% 0.16/0.50 % (11326)Time elapsed: 0.006 s
% 0.16/0.50 % (11326)Instructions burned: 6 (million)
% 0.16/0.50 % (11326)------------------------------
% 0.16/0.50 % (11326)------------------------------
% 0.16/0.51 % (11318)Refutation found. Thanks to Tanya!
% 0.16/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.51 % (11318)------------------------------
% 0.16/0.51 % (11318)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (11318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (11318)Termination reason: Refutation
% 0.16/0.51
% 0.16/0.51 % (11318)Memory used [KB]: 6140
% 0.16/0.51 % (11318)Time elapsed: 0.112 s
% 0.16/0.51 % (11318)Instructions burned: 7 (million)
% 0.16/0.51 % (11318)------------------------------
% 0.16/0.51 % (11318)------------------------------
% 0.16/0.51 % (11310)Success in time 0.178 s
%------------------------------------------------------------------------------