TSTP Solution File: SWC346+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC346+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n019.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 : Tue May 21 04:38:21 EDT 2024
% Result : Theorem 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 82 ( 10 unt; 0 def)
% Number of atoms : 272 ( 51 equ)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 296 ( 106 ~; 124 |; 36 &)
% ( 11 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 10 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 57 ( 40 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1996,plain,
$false,
inference(avatar_sat_refutation,[],[f295,f304,f309,f314,f315,f320,f325,f330,f331,f332,f333,f416,f773,f1976,f1995]) ).
fof(f1995,plain,
( spl22_1
| ~ spl22_5 ),
inference(avatar_contradiction_clause,[],[f1994]) ).
fof(f1994,plain,
( $false
| spl22_1
| ~ spl22_5 ),
inference(subsumption_resolution,[],[f1993,f247]) ).
fof(f247,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).
fof(f1993,plain,
( ~ strictorderedP(nil)
| spl22_1
| ~ spl22_5 ),
inference(forward_demodulation,[],[f290,f308]) ).
fof(f308,plain,
( nil = sK2
| ~ spl22_5 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f306,plain,
( spl22_5
<=> nil = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_5])]) ).
fof(f290,plain,
( ~ strictorderedP(sK2)
| spl22_1 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f288,plain,
( spl22_1
<=> strictorderedP(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_1])]) ).
fof(f1976,plain,
( spl22_2
| ~ spl22_6
| ~ spl22_7
| ~ spl22_9 ),
inference(avatar_split_clause,[],[f1975,f327,f317,f311,f292]) ).
fof(f292,plain,
( spl22_2
<=> segmentP(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_2])]) ).
fof(f311,plain,
( spl22_6
<=> ssList(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_6])]) ).
fof(f317,plain,
( spl22_7
<=> sK3 = app(app(sK5,sK2),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_7])]) ).
fof(f327,plain,
( spl22_9
<=> ssList(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_9])]) ).
fof(f1975,plain,
( segmentP(sK3,sK2)
| ~ spl22_6
| ~ spl22_7
| ~ spl22_9 ),
inference(subsumption_resolution,[],[f1974,f273]) ).
fof(f273,plain,
ssList(sK3),
inference(definition_unfolding,[],[f188,f185]) ).
fof(f185,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ strictorderedP(X0)
| ~ segmentP(X1,X0) )
& ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( ! [X7] :
( ~ lt(X7,X4)
| ~ memberP(X6,X7)
| ~ ssItem(X7) )
& ! [X8] :
( ~ lt(X4,X8)
| ~ memberP(X5,X8)
| ~ ssItem(X8) )
& app(app(X5,X2),X6) = X3
& cons(X4,nil) = X2
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) ) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( strictorderedP(X0)
& segmentP(X1,X0) )
| ( ( nil != X2
| nil != X3 )
& ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ? [X7] :
( lt(X7,X4)
& memberP(X6,X7)
& ssItem(X7) )
| ? [X8] :
( lt(X4,X8)
& memberP(X5,X8)
& ssItem(X8) )
| app(app(X5,X2),X6) != X3
| cons(X4,nil) != X2
| ~ ssList(X6) ) ) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( strictorderedP(X0)
& segmentP(X1,X0) )
| ( ( nil != X2
| nil != X3 )
& ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ? [X8] :
( lt(X8,X4)
& memberP(X6,X8)
& ssItem(X8) )
| ? [X7] :
( lt(X4,X7)
& memberP(X5,X7)
& ssItem(X7) )
| app(app(X5,X2),X6) != X3
| cons(X4,nil) != X2
| ~ ssList(X6) ) ) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( strictorderedP(X0)
& segmentP(X1,X0) )
| ( ( nil != X2
| nil != X3 )
& ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ? [X8] :
( lt(X8,X4)
& memberP(X6,X8)
& ssItem(X8) )
| ? [X7] :
( lt(X4,X7)
& memberP(X5,X7)
& ssItem(X7) )
| app(app(X5,X2),X6) != X3
| cons(X4,nil) != X2
| ~ ssList(X6) ) ) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f188,plain,
ssList(sK1),
inference(cnf_transformation,[],[f99]) ).
fof(f1974,plain,
( segmentP(sK3,sK2)
| ~ ssList(sK3)
| ~ spl22_6
| ~ spl22_7
| ~ spl22_9 ),
inference(subsumption_resolution,[],[f1973,f329]) ).
fof(f329,plain,
( ssList(sK6)
| ~ spl22_9 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f1973,plain,
( segmentP(sK3,sK2)
| ~ ssList(sK6)
| ~ ssList(sK3)
| ~ spl22_6
| ~ spl22_7 ),
inference(subsumption_resolution,[],[f1972,f313]) ).
fof(f313,plain,
( ssList(sK5)
| ~ spl22_6 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f1972,plain,
( segmentP(sK3,sK2)
| ~ ssList(sK5)
| ~ ssList(sK6)
| ~ ssList(sK3)
| ~ spl22_7 ),
inference(subsumption_resolution,[],[f1935,f272]) ).
fof(f272,plain,
ssList(sK2),
inference(definition_unfolding,[],[f189,f186]) ).
fof(f186,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f99]) ).
fof(f189,plain,
ssList(sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f1935,plain,
( segmentP(sK3,sK2)
| ~ ssList(sK2)
| ~ ssList(sK5)
| ~ ssList(sK6)
| ~ ssList(sK3)
| ~ spl22_7 ),
inference(superposition,[],[f280,f319]) ).
fof(f319,plain,
( sK3 = app(app(sK5,sK2),sK6)
| ~ spl22_7 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f280,plain,
! [X2,X3,X1] :
( segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(app(app(X2,X1),X3)) ),
inference(equality_resolution,[],[f231]) ).
fof(f231,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X2,X1),X3) != X0
| segmentP(X0,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f773,plain,
( spl22_1
| ~ spl22_4
| ~ spl22_8 ),
inference(avatar_split_clause,[],[f772,f322,f301,f288]) ).
fof(f301,plain,
( spl22_4
<=> ssItem(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_4])]) ).
fof(f322,plain,
( spl22_8
<=> sK2 = cons(sK4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_8])]) ).
fof(f772,plain,
( strictorderedP(sK2)
| ~ spl22_4
| ~ spl22_8 ),
inference(forward_demodulation,[],[f744,f324]) ).
fof(f324,plain,
( sK2 = cons(sK4,nil)
| ~ spl22_8 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f744,plain,
( strictorderedP(cons(sK4,nil))
| ~ spl22_4 ),
inference(unit_resulting_resolution,[],[f303,f248]) ).
fof(f248,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( ssItem(X0)
=> strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax68) ).
fof(f303,plain,
( ssItem(sK4)
| ~ spl22_4 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f416,plain,
( spl22_2
| ~ spl22_3
| ~ spl22_5 ),
inference(avatar_contradiction_clause,[],[f415]) ).
fof(f415,plain,
( $false
| spl22_2
| ~ spl22_3
| ~ spl22_5 ),
inference(subsumption_resolution,[],[f414,f345]) ).
fof(f345,plain,
( ~ segmentP(nil,nil)
| spl22_2
| ~ spl22_3
| ~ spl22_5 ),
inference(forward_demodulation,[],[f344,f299]) ).
fof(f299,plain,
( nil = sK3
| ~ spl22_3 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f297,plain,
( spl22_3
<=> nil = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_3])]) ).
fof(f344,plain,
( ~ segmentP(sK3,nil)
| spl22_2
| ~ spl22_5 ),
inference(forward_demodulation,[],[f294,f308]) ).
fof(f294,plain,
( ~ segmentP(sK3,sK2)
| spl22_2 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f414,plain,
( segmentP(nil,nil)
| ~ spl22_5 ),
inference(forward_demodulation,[],[f388,f308]) ).
fof(f388,plain,
segmentP(sK2,nil),
inference(unit_resulting_resolution,[],[f272,f226]) ).
fof(f226,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).
fof(f333,plain,
( spl22_5
| spl22_9 ),
inference(avatar_split_clause,[],[f173,f327,f306]) ).
fof(f173,plain,
( ssList(sK6)
| nil = sK2 ),
inference(cnf_transformation,[],[f99]) ).
fof(f332,plain,
( spl22_5
| spl22_8 ),
inference(avatar_split_clause,[],[f174,f322,f306]) ).
fof(f174,plain,
( sK2 = cons(sK4,nil)
| nil = sK2 ),
inference(cnf_transformation,[],[f99]) ).
fof(f331,plain,
( spl22_5
| spl22_7 ),
inference(avatar_split_clause,[],[f175,f317,f306]) ).
fof(f175,plain,
( sK3 = app(app(sK5,sK2),sK6)
| nil = sK2 ),
inference(cnf_transformation,[],[f99]) ).
fof(f330,plain,
( spl22_3
| spl22_9 ),
inference(avatar_split_clause,[],[f176,f327,f297]) ).
fof(f176,plain,
( ssList(sK6)
| nil = sK3 ),
inference(cnf_transformation,[],[f99]) ).
fof(f325,plain,
( spl22_3
| spl22_8 ),
inference(avatar_split_clause,[],[f177,f322,f297]) ).
fof(f177,plain,
( sK2 = cons(sK4,nil)
| nil = sK3 ),
inference(cnf_transformation,[],[f99]) ).
fof(f320,plain,
( spl22_3
| spl22_7 ),
inference(avatar_split_clause,[],[f178,f317,f297]) ).
fof(f178,plain,
( sK3 = app(app(sK5,sK2),sK6)
| nil = sK3 ),
inference(cnf_transformation,[],[f99]) ).
fof(f315,plain,
( spl22_3
| spl22_6 ),
inference(avatar_split_clause,[],[f179,f311,f297]) ).
fof(f179,plain,
( ssList(sK5)
| nil = sK3 ),
inference(cnf_transformation,[],[f99]) ).
fof(f314,plain,
( spl22_5
| spl22_6 ),
inference(avatar_split_clause,[],[f180,f311,f306]) ).
fof(f180,plain,
( ssList(sK5)
| nil = sK2 ),
inference(cnf_transformation,[],[f99]) ).
fof(f309,plain,
( spl22_5
| spl22_4 ),
inference(avatar_split_clause,[],[f181,f301,f306]) ).
fof(f181,plain,
( ssItem(sK4)
| nil = sK2 ),
inference(cnf_transformation,[],[f99]) ).
fof(f304,plain,
( spl22_3
| spl22_4 ),
inference(avatar_split_clause,[],[f182,f301,f297]) ).
fof(f182,plain,
( ssItem(sK4)
| nil = sK3 ),
inference(cnf_transformation,[],[f99]) ).
fof(f295,plain,
( ~ spl22_1
| ~ spl22_2 ),
inference(avatar_split_clause,[],[f274,f292,f288]) ).
fof(f274,plain,
( ~ segmentP(sK3,sK2)
| ~ strictorderedP(sK2) ),
inference(definition_unfolding,[],[f183,f185,f186,f186]) ).
fof(f183,plain,
( ~ segmentP(sK1,sK0)
| ~ strictorderedP(sK0) ),
inference(cnf_transformation,[],[f99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC346+1 : TPTP v8.2.0. Released v2.4.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 02:54:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.72 % (13800)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.56/0.72 % (13794)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.56/0.72 % (13797)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.56/0.72 % (13795)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.56/0.72 % (13796)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.72 % (13798)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.56/0.73 % (13801)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.56/0.73 % (13799)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.56/0.74 % (13798)Instruction limit reached!
% 0.56/0.74 % (13798)------------------------------
% 0.56/0.74 % (13798)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (13798)Termination reason: Unknown
% 0.56/0.74 % (13798)Termination phase: Saturation
% 0.56/0.74
% 0.56/0.74 % (13798)Memory used [KB]: 1701
% 0.56/0.74 % (13798)Time elapsed: 0.017 s
% 0.56/0.74 % (13798)Instructions burned: 35 (million)
% 0.56/0.74 % (13798)------------------------------
% 0.56/0.74 % (13798)------------------------------
% 0.56/0.74 % (13794)Instruction limit reached!
% 0.56/0.74 % (13794)------------------------------
% 0.56/0.74 % (13794)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (13794)Termination reason: Unknown
% 0.56/0.74 % (13794)Termination phase: Saturation
% 0.56/0.74
% 0.56/0.74 % (13794)Memory used [KB]: 1542
% 0.56/0.74 % (13794)Time elapsed: 0.021 s
% 0.56/0.74 % (13794)Instructions burned: 35 (million)
% 0.56/0.74 % (13794)------------------------------
% 0.56/0.74 % (13794)------------------------------
% 0.56/0.74 % (13800)First to succeed.
% 0.56/0.74 % (13800)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13793"
% 0.56/0.74 % (13802)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.56/0.75 % (13800)Refutation found. Thanks to Tanya!
% 0.56/0.75 % SZS status Theorem for theBenchmark
% 0.56/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.75 % (13800)------------------------------
% 0.56/0.75 % (13800)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (13800)Termination reason: Refutation
% 0.56/0.75
% 0.56/0.75 % (13800)Memory used [KB]: 1884
% 0.56/0.75 % (13800)Time elapsed: 0.025 s
% 0.56/0.75 % (13800)Instructions burned: 84 (million)
% 0.56/0.75 % (13793)Success in time 0.392 s
% 0.56/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------