TSTP Solution File: SWC312-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC312-1 : 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 : n007.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 18:40:20 EDT 2022
% Result : Unsatisfiable 0.11s 0.41s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 19
% Syntax : Number of formulae : 45 ( 3 unt; 0 def)
% Number of atoms : 131 ( 37 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 170 ( 84 ~; 78 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f266,plain,
$false,
inference(avatar_sat_refutation,[],[f222,f231,f236,f241,f246,f250,f251,f252,f253,f265]) ).
fof(f265,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f264]) ).
fof(f264,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f263,f235]) ).
fof(f235,plain,
( ssList(sk6)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f233,plain,
( spl0_5
<=> ssList(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f263,plain,
( ~ ssList(sk6)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f262,f245]) ).
fof(f245,plain,
( ssItem(sk5)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f243,plain,
( spl0_7
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f262,plain,
( ~ ssItem(sk5)
| ~ ssList(sk6)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f261]) ).
fof(f261,plain,
( ~ ssItem(sk5)
| app(cons(sk5,nil),sk6) != app(cons(sk5,nil),sk6)
| ~ ssList(sk6)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(equality_resolution,[],[f255]) ).
fof(f255,plain,
( ! [X6,X7] :
( app(sk6,cons(sk5,nil)) != app(X7,cons(X6,nil))
| ~ ssItem(X6)
| ~ ssList(X7)
| app(cons(sk5,nil),sk6) != app(cons(X6,nil),X7) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f254,f230]) ).
fof(f230,plain,
( sk3 = app(sk6,cons(sk5,nil))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f228,plain,
( spl0_4
<=> sk3 = app(sk6,cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f254,plain,
( ! [X6,X7] :
( app(cons(sk5,nil),sk6) != app(cons(X6,nil),X7)
| ~ ssList(X7)
| ~ ssItem(X6)
| sk3 != app(X7,cons(X6,nil)) )
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f249,f240]) ).
fof(f240,plain,
( sk4 = app(cons(sk5,nil),sk6)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f238,plain,
( spl0_6
<=> sk4 = app(cons(sk5,nil),sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f249,plain,
( ! [X6,X7] :
( sk4 != app(cons(X6,nil),X7)
| sk3 != app(X7,cons(X6,nil))
| ~ ssItem(X6)
| ~ ssList(X7) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f248,plain,
( spl0_8
<=> ! [X6,X7] :
( sk4 != app(cons(X6,nil),X7)
| ~ ssList(X7)
| ~ ssItem(X6)
| sk3 != app(X7,cons(X6,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f253,plain,
( ~ spl0_1
| spl0_8 ),
inference(avatar_split_clause,[],[f201,f248,f215]) ).
fof(f215,plain,
( spl0_1
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f201,plain,
! [X6,X7] :
( ~ ssList(X7)
| sk4 != app(cons(X6,nil),X7)
| sk3 != app(X7,cons(X6,nil))
| nil != sk3
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f200,f191,f191,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f200,axiom,
! [X6,X7] :
( nil != sk1
| sk1 != app(X7,cons(X6,nil))
| ~ ssItem(X6)
| ~ ssList(X7)
| sk2 != app(cons(X6,nil),X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f252,plain,
( spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f206,f224,f219]) ).
fof(f219,plain,
( spl0_2
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f224,plain,
( spl0_3
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f206,plain,
( neq(sk4,nil)
| nil = sk4 ),
inference(definition_unfolding,[],[f197,f190,f190]) ).
fof(f197,axiom,
( neq(sk2,nil)
| nil = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f251,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f203,f224,f215]) ).
fof(f203,plain,
( neq(sk4,nil)
| nil != sk3 ),
inference(definition_unfolding,[],[f199,f190,f191]) ).
fof(f199,axiom,
( neq(sk2,nil)
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f250,plain,
( spl0_2
| spl0_8 ),
inference(avatar_split_clause,[],[f204,f248,f219]) ).
fof(f204,plain,
! [X6,X7] :
( sk4 != app(cons(X6,nil),X7)
| sk3 != app(X7,cons(X6,nil))
| ~ ssItem(X6)
| nil = sk4
| ~ ssList(X7) ),
inference(definition_unfolding,[],[f198,f190,f191,f190]) ).
fof(f198,axiom,
! [X6,X7] :
( ~ ssList(X7)
| sk2 != app(cons(X6,nil),X7)
| sk1 != app(X7,cons(X6,nil))
| ~ ssItem(X6)
| nil = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f246,plain,
( ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f193,f243,f224]) ).
fof(f193,axiom,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f241,plain,
( ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f195,f238,f224]) ).
fof(f195,axiom,
( sk4 = app(cons(sk5,nil),sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f236,plain,
( spl0_5
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f194,f224,f233]) ).
fof(f194,axiom,
( ~ neq(sk4,nil)
| ssList(sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f231,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f196,f228,f224]) ).
fof(f196,axiom,
( sk3 = app(sk6,cons(sk5,nil))
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f222,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f192,f219,f215]) ).
fof(f192,axiom,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SWC312-1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.07 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.08/0.26 % Computer : n007.cluster.edu
% 0.08/0.26 % Model : x86_64 x86_64
% 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26 % Memory : 8042.1875MB
% 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26 % CPULimit : 300
% 0.08/0.26 % WCLimit : 300
% 0.08/0.26 % DateTime : Tue Aug 30 18:30:31 EDT 2022
% 0.08/0.26 % CPUTime :
% 0.11/0.37 % (11862)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)
% 0.11/0.38 % (11862)Instruction limit reached!
% 0.11/0.38 % (11862)------------------------------
% 0.11/0.38 % (11862)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.38 % (11862)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.38 % (11862)Termination reason: Unknown
% 0.11/0.38 % (11862)Termination phase: Saturation
% 0.11/0.38
% 0.11/0.38 % (11862)Memory used [KB]: 1535
% 0.11/0.38 % (11862)Time elapsed: 0.004 s
% 0.11/0.38 % (11862)Instructions burned: 7 (million)
% 0.11/0.38 % (11862)------------------------------
% 0.11/0.38 % (11862)------------------------------
% 0.11/0.38 % (11878)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)
% 0.11/0.39 % (11885)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)
% 0.11/0.39 % (11870)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)
% 0.11/0.39 % (11863)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)
% 0.11/0.39 % (11877)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.11/0.40 % (11874)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)
% 0.11/0.40 % (11872)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)
% 0.11/0.40 % (11873)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)
% 0.11/0.40 % (11870)Instruction limit reached!
% 0.11/0.40 % (11870)------------------------------
% 0.11/0.40 % (11870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.40 % (11870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.40 % (11870)Termination reason: Unknown
% 0.11/0.40 % (11870)Termination phase: Property scanning
% 0.11/0.40
% 0.11/0.40 % (11870)Memory used [KB]: 1535
% 0.11/0.40 % (11870)Time elapsed: 0.008 s
% 0.11/0.40 % (11870)Instructions burned: 7 (million)
% 0.11/0.40 % (11870)------------------------------
% 0.11/0.40 % (11870)------------------------------
% 0.11/0.40 % (11860)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.11/0.41 % (11883)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)
% 0.11/0.41 % (11863)First to succeed.
% 0.11/0.41 % (11877)Instruction limit reached!
% 0.11/0.41 % (11877)------------------------------
% 0.11/0.41 % (11877)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.41 % (11869)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)
% 0.11/0.41 % (11863)Refutation found. Thanks to Tanya!
% 0.11/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.41 % (11863)------------------------------
% 0.11/0.41 % (11863)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.41 % (11863)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.41 % (11863)Termination reason: Refutation
% 0.11/0.41
% 0.11/0.41 % (11863)Memory used [KB]: 6012
% 0.11/0.41 % (11863)Time elapsed: 0.108 s
% 0.11/0.41 % (11863)Instructions burned: 4 (million)
% 0.11/0.41 % (11863)------------------------------
% 0.11/0.41 % (11863)------------------------------
% 0.11/0.41 % (11855)Success in time 0.146 s
%------------------------------------------------------------------------------