TSTP Solution File: SWC104-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC104-1 : 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 : n021.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 18:38:49 EDT 2022
% Result : Unsatisfiable 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 21
% Syntax : Number of formulae : 52 ( 16 unt; 0 def)
% Number of atoms : 106 ( 12 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 101 ( 47 ~; 46 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f337,plain,
$false,
inference(avatar_sat_refutation,[],[f218,f227,f237,f249,f258,f284,f286,f301,f336]) ).
fof(f336,plain,
( ~ spl0_6
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f334,f224,f234]) ).
fof(f234,plain,
( spl0_6
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f224,plain,
( spl0_4
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f334,plain,
( ~ ssList(nil)
| ~ spl0_4 ),
inference(resolution,[],[f319,f209]) ).
fof(f209,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f207]) ).
fof(f207,plain,
! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f115]) ).
fof(f115,axiom,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f319,plain,
( neq(nil,nil)
| ~ spl0_4 ),
inference(superposition,[],[f200,f226]) ).
fof(f226,plain,
( nil = sk4
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f200,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f192,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f192,axiom,
neq(sk2,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f301,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f300]) ).
fof(f300,plain,
( $false
| spl0_7 ),
inference(resolution,[],[f253,f202]) ).
fof(f202,plain,
ssList(sk4),
inference(definition_unfolding,[],[f187,f190]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
fof(f253,plain,
( ~ ssList(sk4)
| spl0_7 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f251,plain,
( spl0_7
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f286,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f285]) ).
fof(f285,plain,
( $false
| spl0_8 ),
inference(resolution,[],[f257,f193]) ).
fof(f193,axiom,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f257,plain,
( ~ ssList(sk5)
| spl0_8 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f255,plain,
( spl0_8
<=> ssList(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f284,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f283]) ).
fof(f283,plain,
( $false
| spl0_6 ),
inference(resolution,[],[f236,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f236,plain,
( ~ ssList(nil)
| spl0_6 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f258,plain,
( ~ spl0_7
| ~ spl0_5
| ~ spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f247,f215,f255,f230,f251]) ).
fof(f230,plain,
( spl0_5
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f215,plain,
( spl0_2
<=> frontsegP(sk4,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f247,plain,
( frontsegP(sk4,sk3)
| ~ ssList(sk5)
| ~ ssList(sk3)
| ~ ssList(sk4) ),
inference(superposition,[],[f205,f194]) ).
fof(f194,axiom,
sk4 = app(sk3,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f205,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(equality_resolution,[],[f144]) ).
fof(f144,axiom,
! [X2,X0,X1] :
( app(X0,X1) != X2
| ~ ssList(X1)
| ~ ssList(X2)
| frontsegP(X2,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).
fof(f249,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f248]) ).
fof(f248,plain,
( $false
| spl0_5 ),
inference(resolution,[],[f232,f199]) ).
fof(f199,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f232,plain,
( ~ ssList(sk3)
| spl0_5 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f237,plain,
( ~ spl0_5
| spl0_3
| ~ spl0_6
| spl0_1 ),
inference(avatar_split_clause,[],[f228,f211,f234,f220,f230]) ).
fof(f220,plain,
( spl0_3
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f211,plain,
( spl0_1
<=> neq(sk3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f228,plain,
( ~ ssList(nil)
| nil = sk3
| ~ ssList(sk3)
| spl0_1 ),
inference(resolution,[],[f213,f100]) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f213,plain,
( ~ neq(sk3,nil)
| spl0_1 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f227,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f197,f224,f220]) ).
fof(f197,axiom,
( nil = sk4
| nil != sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f218,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f201,f215,f211]) ).
fof(f201,plain,
( ~ frontsegP(sk4,sk3)
| ~ neq(sk3,nil) ),
inference(definition_unfolding,[],[f198,f191,f190,f191]) ).
fof(f198,axiom,
( ~ neq(sk1,nil)
| ~ frontsegP(sk2,sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC104-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 18:14:26 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.52 % (13225)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)
% 0.20/0.52 % (13213)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)
% 0.20/0.53 % (13233)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.20/0.53 % (13219)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)
% 0.20/0.54 % (13214)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)
% 0.20/0.54 % (13233)First to succeed.
% 0.20/0.54 % (13216)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)
% 0.20/0.54 % (13225)Instruction limit reached!
% 0.20/0.54 % (13225)------------------------------
% 0.20/0.54 % (13225)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (13225)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (13225)Termination reason: Unknown
% 0.20/0.54 % (13225)Termination phase: Function definition elimination
% 0.20/0.54
% 0.20/0.54 % (13225)Memory used [KB]: 1535
% 0.20/0.54 % (13225)Time elapsed: 0.004 s
% 0.20/0.54 % (13225)Instructions burned: 4 (million)
% 0.20/0.54 % (13225)------------------------------
% 0.20/0.54 % (13225)------------------------------
% 0.20/0.54 % (13223)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.54 % (13217)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.54 % (13233)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (13233)------------------------------
% 0.20/0.54 % (13233)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (13233)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (13233)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (13233)Memory used [KB]: 6012
% 0.20/0.54 % (13233)Time elapsed: 0.120 s
% 0.20/0.54 % (13233)Instructions burned: 4 (million)
% 0.20/0.54 % (13233)------------------------------
% 0.20/0.54 % (13233)------------------------------
% 0.20/0.54 % (13211)Success in time 0.185 s
%------------------------------------------------------------------------------