TSTP Solution File: SWC071-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC071-1 : 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 : n028.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 18:38:35 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 22
% Syntax : Number of formulae : 57 ( 6 unt; 0 def)
% Number of atoms : 173 ( 30 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 223 ( 107 ~; 109 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 8 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f578,plain,
$false,
inference(avatar_sat_refutation,[],[f236,f257,f258,f259,f260,f261,f535,f577]) ).
fof(f577,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f576]) ).
fof(f576,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f575,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f575,plain,
( ~ ssList(nil)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f574,f250]) ).
fof(f250,plain,
( ssItem(sk5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f248,plain,
( spl0_6
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f574,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f268,f230]) ).
fof(f230,plain,
( nil = sk3
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f228,plain,
( spl0_2
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f268,plain,
( nil != sk3
| ~ ssList(nil)
| ~ ssItem(sk5)
| ~ spl0_1 ),
inference(superposition,[],[f99,f226]) ).
fof(f226,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f224,plain,
( spl0_1
<=> sk3 = cons(sk5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f99,axiom,
! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
fof(f535,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f534]) ).
fof(f534,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f533,f209]) ).
fof(f209,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
fof(f533,plain,
( ~ ssList(sk3)
| spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f532,f229]) ).
fof(f229,plain,
( nil != sk3
| spl0_2 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f532,plain,
( ~ ssList(sk3)
| nil = sk3
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(duplicate_literal_removal,[],[f530]) ).
fof(f530,plain,
( ~ ssList(sk3)
| ~ ssList(sk3)
| nil = sk3
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(resolution,[],[f456,f57]) ).
fof(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
fof(f456,plain,
( ! [X1] :
( ~ segmentP(sk3,X1)
| ~ ssList(X1)
| nil = X1 )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f455,f417]) ).
fof(f417,plain,
( ! [X0] :
( ~ segmentP(sk3,X0)
| segmentP(sk4,X0)
| ~ ssList(X0) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f416,f255]) ).
fof(f255,plain,
( ssList(sk6)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f253,plain,
( spl0_7
<=> ssList(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f416,plain,
( ! [X0] :
( ~ segmentP(sk3,X0)
| ~ ssList(X0)
| segmentP(sk4,X0)
| ~ ssList(sk6) )
| ~ spl0_3
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f415,f235]) ).
fof(f235,plain,
( ssList(sk7)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f233,plain,
( spl0_3
<=> ssList(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f415,plain,
( ! [X0] :
( ~ ssList(sk7)
| ~ segmentP(sk3,X0)
| segmentP(sk4,X0)
| ~ ssList(X0)
| ~ ssList(sk6) )
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f397,f209]) ).
fof(f397,plain,
( ! [X0] :
( segmentP(sk4,X0)
| ~ ssList(sk3)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ segmentP(sk3,X0)
| ~ ssList(sk6) )
| ~ spl0_5 ),
inference(superposition,[],[f172,f245]) ).
fof(f245,plain,
( sk4 = app(app(sk6,sk3),sk7)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f243,plain,
( spl0_5
<=> sk4 = app(app(sk6,sk3),sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f172,axiom,
! [X2,X3,X0,X1] :
( segmentP(app(app(X3,X0),X2),X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ segmentP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
fof(f455,plain,
! [X1] :
( ~ segmentP(sk3,X1)
| ~ ssList(X1)
| ~ segmentP(sk4,X1)
| nil = X1 ),
inference(subsumption_resolution,[],[f454,f8]) ).
fof(f454,plain,
! [X1] :
( ~ segmentP(sk4,X1)
| ~ ssList(nil)
| ~ segmentP(sk3,X1)
| ~ ssList(X1)
| nil = X1 ),
inference(duplicate_literal_removal,[],[f453]) ).
fof(f453,plain,
! [X1] :
( nil = X1
| ~ segmentP(sk3,X1)
| ~ segmentP(sk4,X1)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X1) ),
inference(resolution,[],[f211,f100]) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f211,plain,
! [X6] :
( ~ neq(X6,nil)
| ~ segmentP(sk3,X6)
| ~ ssList(X6)
| ~ segmentP(sk4,X6) ),
inference(definition_unfolding,[],[f192,f190,f191]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f192,axiom,
! [X6] :
( ~ segmentP(sk2,X6)
| ~ segmentP(sk1,X6)
| ~ neq(X6,nil)
| ~ ssList(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f261,plain,
( spl0_6
| spl0_4 ),
inference(avatar_split_clause,[],[f194,f238,f248]) ).
fof(f238,plain,
( spl0_4
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f194,axiom,
( nil = sk4
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f260,plain,
( ~ spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f208,f228,f238]) ).
fof(f208,plain,
( nil != sk3
| nil != sk4 ),
inference(definition_unfolding,[],[f193,f191,f190]) ).
fof(f193,axiom,
( nil != sk1
| nil != sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f259,plain,
( spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f205,f243,f228]) ).
fof(f205,axiom,
( sk4 = app(app(sk6,sk3),sk7)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_20) ).
fof(f258,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f202,f228,f253]) ).
fof(f202,axiom,
( nil = sk3
| ssList(sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f257,plain,
( spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f198,f224,f238]) ).
fof(f198,axiom,
( sk3 = cons(sk5,nil)
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f236,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f203,f228,f233]) ).
fof(f203,axiom,
( nil = sk3
| ssList(sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC071-1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 18:16:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 % (25443)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.46 % (25444)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)
% 0.19/0.49 % (25466)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)
% 0.19/0.50 % (25468)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.19/0.50 % (25460)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.50 % (25467)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)
% 0.19/0.50 % (25457)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)
% 0.19/0.50 % (25450)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)
% 0.19/0.50 % (25460)Instruction limit reached!
% 0.19/0.50 % (25460)------------------------------
% 0.19/0.50 % (25460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (25460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (25460)Termination reason: Unknown
% 0.19/0.50 % (25460)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (25460)Memory used [KB]: 6012
% 0.19/0.50 % (25460)Time elapsed: 0.006 s
% 0.19/0.50 % (25460)Instructions burned: 8 (million)
% 0.19/0.50 % (25460)------------------------------
% 0.19/0.50 % (25460)------------------------------
% 0.19/0.50 % (25451)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)
% 0.19/0.50 % (25451)Instruction limit reached!
% 0.19/0.50 % (25451)------------------------------
% 0.19/0.50 % (25451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (25451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (25451)Termination reason: Unknown
% 0.19/0.50 % (25451)Termination phase: Property scanning
% 0.19/0.50
% 0.19/0.50 % (25451)Memory used [KB]: 1535
% 0.19/0.50 % (25451)Time elapsed: 0.003 s
% 0.19/0.50 % (25451)Instructions burned: 4 (million)
% 0.19/0.50 % (25451)------------------------------
% 0.19/0.50 % (25451)------------------------------
% 0.19/0.50 % (25449)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)
% 0.19/0.51 % (25459)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)
% 0.19/0.51 % (25459)Instruction limit reached!
% 0.19/0.51 % (25459)------------------------------
% 0.19/0.51 % (25459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (25459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (25459)Termination reason: Unknown
% 0.19/0.51 % (25459)Termination phase: Function definition elimination
% 0.19/0.51
% 0.19/0.51 % (25459)Memory used [KB]: 1407
% 0.19/0.51 % (25459)Time elapsed: 0.002 s
% 0.19/0.51 % (25459)Instructions burned: 2 (million)
% 0.19/0.51 % (25459)------------------------------
% 0.19/0.51 % (25459)------------------------------
% 0.19/0.51 % (25455)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)
% 0.19/0.52 % (25447)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)
% 0.19/0.52 % (25445)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)
% 0.19/0.52 % (25446)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)
% 0.19/0.52 % (25445)Instruction limit reached!
% 0.19/0.52 % (25445)------------------------------
% 0.19/0.52 % (25445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (25445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (25445)Termination reason: Unknown
% 0.19/0.52 % (25445)Termination phase: Property scanning
% 0.19/0.52
% 0.19/0.52 % (25445)Memory used [KB]: 1535
% 0.19/0.52 % (25445)Time elapsed: 0.005 s
% 0.19/0.52 % (25445)Instructions burned: 6 (million)
% 0.19/0.52 % (25445)------------------------------
% 0.19/0.52 % (25445)------------------------------
% 0.19/0.53 % (25450)First to succeed.
% 0.19/0.53 % (25448)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53 % (25450)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (25450)------------------------------
% 0.19/0.53 % (25450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (25450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (25450)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (25450)Memory used [KB]: 6268
% 0.19/0.53 % (25450)Time elapsed: 0.138 s
% 0.19/0.53 % (25450)Instructions burned: 13 (million)
% 0.19/0.53 % (25450)------------------------------
% 0.19/0.53 % (25450)------------------------------
% 0.19/0.53 % (25432)Success in time 0.18 s
%------------------------------------------------------------------------------