TSTP Solution File: SWC112-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC112-1 : 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 : n018.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 18:38:53 EDT 2022
% Result : Unsatisfiable 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 23
% Syntax : Number of formulae : 65 ( 14 unt; 0 def)
% Number of atoms : 147 ( 27 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 153 ( 71 ~; 75 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f461,plain,
$false,
inference(avatar_sat_refutation,[],[f250,f266,f325,f327,f417,f438,f450,f452,f460]) ).
fof(f460,plain,
( spl0_5
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f459]) ).
fof(f459,plain,
( $false
| spl0_5
| spl0_6 ),
inference(subsumption_resolution,[],[f458,f265]) ).
fof(f265,plain,
( nil != sk1
| spl0_5 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f263,plain,
( spl0_5
<=> nil = sk1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f458,plain,
( nil = sk1
| spl0_6 ),
inference(subsumption_resolution,[],[f457,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f457,plain,
( ~ ssList(nil)
| nil = sk1
| spl0_6 ),
inference(subsumption_resolution,[],[f444,f186]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f444,plain,
( ~ ssList(sk1)
| nil = sk1
| ~ ssList(nil)
| spl0_6 ),
inference(resolution,[],[f320,f100]) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f320,plain,
( ~ neq(sk1,nil)
| spl0_6 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f318,plain,
( spl0_6
<=> neq(sk1,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f452,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f451]) ).
fof(f451,plain,
( $false
| ~ spl0_1
| spl0_3 ),
inference(subsumption_resolution,[],[f254,f415]) ).
fof(f415,plain,
( nil = sk2
| ~ spl0_1 ),
inference(superposition,[],[f190,f245]) ).
fof(f245,plain,
( nil = sk4
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f243,plain,
( spl0_1
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f254,plain,
( nil != sk2
| spl0_3 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f253,plain,
( spl0_3
<=> nil = sk2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f450,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f449]) ).
fof(f449,plain,
( $false
| ~ spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f446,f8]) ).
fof(f446,plain,
( ~ ssList(nil)
| ~ spl0_3
| ~ spl0_4 ),
inference(resolution,[],[f442,f227]) ).
fof(f227,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f205]) ).
fof(f205,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f115]) ).
fof(f115,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ neq(X0,X1)
| X0 != X1
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f442,plain,
( neq(nil,nil)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f259,f255]) ).
fof(f255,plain,
( nil = sk2
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f259,plain,
( neq(sk2,nil)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f257,plain,
( spl0_4
<=> neq(sk2,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f438,plain,
( ~ spl0_3
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f437]) ).
fof(f437,plain,
( $false
| ~ spl0_3
| spl0_5 ),
inference(subsumption_resolution,[],[f436,f265]) ).
fof(f436,plain,
( nil = sk1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f430,f186]) ).
fof(f430,plain,
( ~ ssList(sk1)
| nil = sk1
| ~ spl0_3 ),
inference(resolution,[],[f400,f80]) ).
fof(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f400,plain,
( segmentP(nil,sk1)
| ~ spl0_3 ),
inference(superposition,[],[f374,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f374,plain,
( segmentP(nil,sk3)
| ~ spl0_3 ),
inference(superposition,[],[f353,f255]) ).
fof(f353,plain,
segmentP(sk2,sk3),
inference(superposition,[],[f306,f190]) ).
fof(f306,plain,
segmentP(sk4,sk3),
inference(subsumption_resolution,[],[f305,f188]) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f305,plain,
( ~ ssList(sk3)
| segmentP(sk4,sk3) ),
inference(subsumption_resolution,[],[f304,f189]) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f304,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk4)
| ~ ssList(sk3) ),
inference(subsumption_resolution,[],[f303,f192]) ).
fof(f192,axiom,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f303,plain,
( ~ ssList(sk5)
| segmentP(sk4,sk3)
| ~ ssList(sk4)
| ~ ssList(sk3) ),
inference(subsumption_resolution,[],[f288,f193]) ).
fof(f193,axiom,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f288,plain,
( ~ ssList(sk6)
| ~ ssList(sk3)
| ~ ssList(sk4)
| segmentP(sk4,sk3)
| ~ ssList(sk5) ),
inference(superposition,[],[f209,f194]) ).
fof(f194,axiom,
sk4 = app(app(sk5,sk3),sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(equality_resolution,[],[f173]) ).
fof(f173,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X3)
| segmentP(X3,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| app(app(X0,X1),X2) != X3
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f417,plain,
spl0_7,
inference(avatar_split_clause,[],[f375,f322]) ).
fof(f322,plain,
( spl0_7
<=> segmentP(sk2,sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f375,plain,
segmentP(sk2,sk1),
inference(superposition,[],[f353,f191]) ).
fof(f327,plain,
( ~ spl0_5
| spl0_2 ),
inference(avatar_split_clause,[],[f251,f247,f263]) ).
fof(f247,plain,
( spl0_2
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f251,plain,
( nil != sk1
| spl0_2 ),
inference(superposition,[],[f249,f191]) ).
fof(f249,plain,
( nil != sk3
| spl0_2 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f325,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f200,f253,f322,f318]) ).
fof(f200,axiom,
( nil = sk2
| ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f266,plain,
( spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f201,f263,f257]) ).
fof(f201,axiom,
( nil != sk1
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f250,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f198,f247,f243]) ).
fof(f198,axiom,
( nil != sk3
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWC112-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.35 % Computer : n018.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 30 18:18:55 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.51 % (30356)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)
% 0.21/0.52 % (30342)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 (2999ds/51Mi)
% 0.21/0.52 % (30348)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)
% 0.21/0.52 % (30349)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)
% 0.21/0.52 % (30339)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)
% 0.21/0.52 % (30357)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)
% 0.21/0.52 % (30341)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)
% 0.21/0.52 % (30348)Instruction limit reached!
% 0.21/0.52 % (30348)------------------------------
% 0.21/0.52 % (30348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (30348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (30348)Termination reason: Unknown
% 0.21/0.52 % (30348)Termination phase: Finite model building preprocessing
% 0.21/0.52
% 0.21/0.52 % (30348)Memory used [KB]: 1535
% 0.21/0.52 % (30348)Time elapsed: 0.007 s
% 0.21/0.52 % (30348)Instructions burned: 6 (million)
% 0.21/0.52 % (30348)------------------------------
% 0.21/0.52 % (30348)------------------------------
% 0.21/0.52 % (30337)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)
% 0.21/0.53 % (30333)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.53 % (30342)First to succeed.
% 0.21/0.53 % (30341)Instruction limit reached!
% 0.21/0.53 % (30341)------------------------------
% 0.21/0.53 % (30341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (30341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (30341)Termination reason: Unknown
% 0.21/0.53 % (30341)Termination phase: Property scanning
% 0.21/0.53
% 0.21/0.53 % (30341)Memory used [KB]: 1535
% 0.21/0.53 % (30341)Time elapsed: 0.005 s
% 0.21/0.53 % (30341)Instructions burned: 3 (million)
% 0.21/0.53 % (30341)------------------------------
% 0.21/0.53 % (30341)------------------------------
% 0.21/0.53 % (30362)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.21/0.53 % (30349)Instruction limit reached!
% 0.21/0.53 % (30349)------------------------------
% 0.21/0.53 % (30349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (30349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (30349)Termination reason: Unknown
% 0.21/0.53 % (30349)Termination phase: Function definition elimination
% 0.21/0.53
% 0.21/0.53 % (30349)Memory used [KB]: 1407
% 0.21/0.53 % (30349)Time elapsed: 0.003 s
% 0.21/0.53 % (30349)Instructions burned: 2 (million)
% 0.21/0.53 % (30349)------------------------------
% 0.21/0.53 % (30349)------------------------------
% 0.21/0.53 % (30334)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)
% 0.21/0.53 % (30336)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)
% 0.21/0.54 % (30335)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)
% 0.21/0.54 % (30335)Instruction limit reached!
% 0.21/0.54 % (30335)------------------------------
% 0.21/0.54 % (30335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (30335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (30335)Termination reason: Unknown
% 0.21/0.54 % (30335)Termination phase: Equality proxy
% 0.21/0.54
% 0.21/0.54 % (30335)Memory used [KB]: 1535
% 0.21/0.54 % (30335)Time elapsed: 0.003 s
% 0.21/0.54 % (30335)Instructions burned: 5 (million)
% 0.21/0.54 % (30335)------------------------------
% 0.21/0.54 % (30335)------------------------------
% 0.21/0.54 % (30338)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.54 % (30347)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)
% 0.21/0.54 % (30345)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)
% 0.21/0.54 % (30342)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (30342)------------------------------
% 0.21/0.54 % (30342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (30342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (30342)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (30342)Memory used [KB]: 6268
% 0.21/0.54 % (30342)Time elapsed: 0.080 s
% 0.21/0.54 % (30342)Instructions burned: 11 (million)
% 0.21/0.54 % (30342)------------------------------
% 0.21/0.54 % (30342)------------------------------
% 0.21/0.54 % (30330)Success in time 0.181 s
%------------------------------------------------------------------------------