TSTP Solution File: SWC346-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC346-1 : 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 : n017.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 18:40:37 EDT 2022
% Result : Unsatisfiable 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 27
% Syntax : Number of formulae : 69 ( 8 unt; 0 def)
% Number of atoms : 176 ( 23 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 189 ( 82 ~; 98 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 10 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f479,plain,
$false,
inference(avatar_sat_refutation,[],[f243,f248,f253,f258,f259,f262,f267,f268,f277,f288,f298,f361,f472]) ).
fof(f472,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f471]) ).
fof(f471,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| spl0_11 ),
inference(subsumption_resolution,[],[f470,f276]) ).
fof(f276,plain,
( ~ segmentP(sk4,sk3)
| spl0_11 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f274,plain,
( spl0_11
<=> segmentP(sk4,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f470,plain,
( segmentP(sk4,sk3)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f469,f209]) ).
fof(f209,plain,
ssList(sk4),
inference(definition_unfolding,[],[f187,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
fof(f469,plain,
( ~ ssList(sk4)
| segmentP(sk4,sk3)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f468,f238]) ).
fof(f238,plain,
( ssList(sk6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f236,plain,
( spl0_4
<=> ssList(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f468,plain,
( ~ ssList(sk6)
| segmentP(sk4,sk3)
| ~ ssList(sk4)
| ~ spl0_6
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f467,f188]) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f467,plain,
( ~ ssList(sk3)
| segmentP(sk4,sk3)
| ~ ssList(sk6)
| ~ ssList(sk4)
| ~ spl0_6
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f451,f247]) ).
fof(f247,plain,
( ssList(sk7)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f245,plain,
( spl0_6
<=> ssList(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f451,plain,
( ~ ssList(sk7)
| ~ ssList(sk6)
| ~ ssList(sk3)
| segmentP(sk4,sk3)
| ~ ssList(sk4)
| ~ spl0_8 ),
inference(superposition,[],[f210,f257]) ).
fof(f257,plain,
( sk4 = app(app(sk6,sk3),sk7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f255,plain,
( spl0_8
<=> sk4 = app(app(sk6,sk3),sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f210,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(equality_resolution,[],[f173]) ).
fof(f173,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X3)
| segmentP(X3,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| app(app(X0,X1),X2) != X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
fof(f361,plain,
( spl0_10
| ~ spl0_1
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f360,f264,f223,f270]) ).
fof(f270,plain,
( spl0_10
<=> strictorderedP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f223,plain,
( spl0_1
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f264,plain,
( spl0_9
<=> sk3 = cons(sk5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f360,plain,
( strictorderedP(sk3)
| ~ spl0_1
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f342,f225]) ).
fof(f225,plain,
( ssItem(sk5)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f342,plain,
( ~ ssItem(sk5)
| strictorderedP(sk3)
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f316,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f316,plain,
( ~ ssList(nil)
| strictorderedP(sk3)
| ~ ssItem(sk5)
| ~ spl0_9 ),
inference(superposition,[],[f211,f266]) ).
fof(f266,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f211,plain,
! [X1] :
( strictorderedP(cons(X1,nil))
| ~ ssList(nil)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f112]) ).
fof(f112,axiom,
! [X0,X1] :
( strictorderedP(cons(X1,X0))
| ~ ssList(X0)
| nil != X0
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
fof(f298,plain,
( ~ spl0_2
| ~ spl0_5
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f297]) ).
fof(f297,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| spl0_11 ),
inference(subsumption_resolution,[],[f292,f8]) ).
fof(f292,plain,
( ~ ssList(nil)
| ~ spl0_2
| ~ spl0_5
| spl0_11 ),
inference(resolution,[],[f283,f57]) ).
fof(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
fof(f283,plain,
( ~ segmentP(nil,nil)
| ~ spl0_2
| ~ spl0_5
| spl0_11 ),
inference(backward_demodulation,[],[f280,f242]) ).
fof(f242,plain,
( nil = sk3
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f240,plain,
( spl0_5
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f280,plain,
( ~ segmentP(nil,sk3)
| ~ spl0_2
| spl0_11 ),
inference(backward_demodulation,[],[f276,f229]) ).
fof(f229,plain,
( nil = sk4
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f227,plain,
( spl0_2
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f288,plain,
( ~ spl0_5
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f287]) ).
fof(f287,plain,
( $false
| ~ spl0_5
| spl0_10 ),
inference(subsumption_resolution,[],[f285,f3]) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f285,plain,
( ~ strictorderedP(nil)
| ~ spl0_5
| spl0_10 ),
inference(backward_demodulation,[],[f272,f242]) ).
fof(f272,plain,
( ~ strictorderedP(sk3)
| spl0_10 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f277,plain,
( ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f208,f274,f270]) ).
fof(f208,plain,
( ~ segmentP(sk4,sk3)
| ~ strictorderedP(sk3) ),
inference(definition_unfolding,[],[f206,f190,f191,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,axiom,
( ~ segmentP(sk2,sk1)
| ~ strictorderedP(sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_21) ).
fof(f268,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f197,f227,f255]) ).
fof(f197,axiom,
( nil = sk4
| sk4 = app(app(sk6,sk3),sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f267,plain,
( spl0_5
| spl0_9 ),
inference(avatar_split_clause,[],[f202,f264,f240]) ).
fof(f202,axiom,
( sk3 = cons(sk5,nil)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f262,plain,
( spl0_5
| spl0_1 ),
inference(avatar_split_clause,[],[f193,f223,f240]) ).
fof(f193,axiom,
( ssItem(sk5)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f259,plain,
( spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f194,f236,f227]) ).
fof(f194,axiom,
( ssList(sk6)
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f258,plain,
( spl0_5
| spl0_8 ),
inference(avatar_split_clause,[],[f203,f255,f240]) ).
fof(f203,axiom,
( sk4 = app(app(sk6,sk3),sk7)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f253,plain,
( spl0_2
| spl0_6 ),
inference(avatar_split_clause,[],[f195,f245,f227]) ).
fof(f195,axiom,
( ssList(sk7)
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f248,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f201,f245,f240]) ).
fof(f201,axiom,
( ssList(sk7)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f243,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f200,f240,f236]) ).
fof(f200,axiom,
( nil = sk3
| ssList(sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWC346-1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.13 % 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 : n017.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 18:13:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.51 % (9592)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)
% 0.19/0.51 % (9586)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)
% 0.19/0.51 % (9604)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)
% 0.19/0.52 % (9596)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)
% 0.19/0.52 % (9592)Instruction limit reached!
% 0.19/0.52 % (9592)------------------------------
% 0.19/0.52 % (9592)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (9605)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)
% 0.19/0.52 % (9608)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)
% 0.19/0.52 % (9592)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (9592)Termination reason: Unknown
% 0.19/0.52 % (9592)Termination phase: Property scanning
% 0.19/0.52
% 0.19/0.52 % (9592)Memory used [KB]: 1535
% 0.19/0.52 % (9592)Time elapsed: 0.007 s
% 0.19/0.52 % (9592)Instructions burned: 6 (million)
% 0.19/0.52 % (9592)------------------------------
% 0.19/0.52 % (9592)------------------------------
% 0.19/0.52 % (9589)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)
% 0.19/0.52 % (9582)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.52 % (9600)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)
% 0.19/0.52 % (9597)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)
% 0.19/0.53 % (9607)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)
% 0.19/0.53 % (9609)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)
% 0.19/0.53 % (9584)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)
% 0.19/0.53 % (9583)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)
% 0.19/0.53 % (9585)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)
% 0.19/0.53 % (9587)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 % (9597)Instruction limit reached!
% 0.19/0.53 % (9597)------------------------------
% 0.19/0.53 % (9597)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (9584)Instruction limit reached!
% 0.19/0.54 % (9584)------------------------------
% 0.19/0.54 % (9584)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (9584)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (9584)Termination reason: Unknown
% 0.19/0.54 % (9584)Termination phase: Property scanning
% 0.19/0.54
% 0.19/0.54 % (9584)Memory used [KB]: 1535
% 0.19/0.54 % (9584)Time elapsed: 0.004 s
% 0.19/0.54 % (9584)Instructions burned: 6 (million)
% 0.19/0.54 % (9584)------------------------------
% 0.19/0.54 % (9584)------------------------------
% 0.19/0.54 % (9597)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (9597)Termination reason: Unknown
% 0.19/0.54 % (9597)Termination phase: Finite model building preprocessing
% 0.19/0.54
% 0.19/0.54 % (9597)Memory used [KB]: 1535
% 0.19/0.54 % (9597)Time elapsed: 0.007 s
% 0.19/0.54 % (9597)Instructions burned: 6 (million)
% 0.19/0.54 % (9597)------------------------------
% 0.19/0.54 % (9597)------------------------------
% 0.19/0.54 % (9610)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)
% 0.19/0.54 % (9602)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.54 % (9595)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)
% 0.19/0.54 % (9589)First to succeed.
% 0.19/0.54 % (9602)Instruction limit reached!
% 0.19/0.54 % (9602)------------------------------
% 0.19/0.54 % (9602)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (9595)Instruction limit reached!
% 0.19/0.54 % (9595)------------------------------
% 0.19/0.54 % (9595)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (9589)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (9589)------------------------------
% 0.19/0.54 % (9589)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (9589)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (9589)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (9589)Memory used [KB]: 6140
% 0.19/0.54 % (9589)Time elapsed: 0.136 s
% 0.19/0.54 % (9589)Instructions burned: 10 (million)
% 0.19/0.54 % (9589)------------------------------
% 0.19/0.54 % (9589)------------------------------
% 0.19/0.54 % (9581)Success in time 0.189 s
%------------------------------------------------------------------------------