TSTP Solution File: LCL491+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL491+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n005.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 17:42:49 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 34 ( 9 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 20 ~; 16 |; 0 &)
% ( 7 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 8 ( 7 usr; 7 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 18 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f274,plain,
$false,
inference(avatar_sat_refutation,[],[f182,f196,f253,f269,f273]) ).
fof(f273,plain,
~ spl2_15,
inference(avatar_contradiction_clause,[],[f271]) ).
fof(f271,plain,
( $false
| ~ spl2_15 ),
inference(resolution,[],[f178,f115]) ).
fof(f115,plain,
~ or_2,
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
~ or_2,
inference(flattening,[],[f46]) ).
fof(f46,negated_conjecture,
~ or_2,
inference(negated_conjecture,[],[f45]) ).
fof(f45,conjecture,
or_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_or_2) ).
fof(f178,plain,
( or_2
| ~ spl2_15 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f177,plain,
( spl2_15
<=> or_2 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).
fof(f269,plain,
( spl2_16
| ~ spl2_20 ),
inference(avatar_contradiction_clause,[],[f267]) ).
fof(f267,plain,
( $false
| spl2_16
| ~ spl2_20 ),
inference(resolution,[],[f195,f181]) ).
fof(f181,plain,
( ~ is_a_theorem(implies(sK1,or(sK0,sK1)))
| spl2_16 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f180,plain,
( spl2_16
<=> is_a_theorem(implies(sK1,or(sK0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_16])]) ).
fof(f195,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,or(X1,X0)))
| ~ spl2_20 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f194,plain,
( spl2_20
<=> ! [X0,X1] : is_a_theorem(implies(X0,or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_20])]) ).
fof(f253,plain,
spl2_19,
inference(avatar_contradiction_clause,[],[f251]) ).
fof(f251,plain,
( $false
| spl2_19 ),
inference(resolution,[],[f192,f126]) ).
fof(f126,plain,
r2,
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
r2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_r2) ).
fof(f192,plain,
( ~ r2
| spl2_19 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f191,plain,
( spl2_19
<=> r2 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_19])]) ).
fof(f196,plain,
( ~ spl2_19
| spl2_20 ),
inference(avatar_split_clause,[],[f100,f194,f191]) ).
fof(f100,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,or(X1,X0)))
| ~ r2 ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ~ r2
| ! [X0,X1] : is_a_theorem(implies(X0,or(X1,X0))) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,plain,
( r2
=> ! [X0,X1] : is_a_theorem(implies(X0,or(X1,X0))) ),
inference(unused_predicate_definition_removal,[],[f64]) ).
fof(f64,plain,
( r2
<=> ! [X0,X1] : is_a_theorem(implies(X0,or(X1,X0))) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
( r2
<=> ! [X4,X3] : is_a_theorem(implies(X4,or(X3,X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r2) ).
fof(f182,plain,
( spl2_15
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f107,f180,f177]) ).
fof(f107,plain,
( ~ is_a_theorem(implies(sK1,or(sK0,sK1)))
| or_2 ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( or_2
| ~ is_a_theorem(implies(sK1,or(sK0,sK1))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f86,f92]) ).
fof(f92,plain,
( ? [X0,X1] : ~ is_a_theorem(implies(X1,or(X0,X1)))
=> ~ is_a_theorem(implies(sK1,or(sK0,sK1))) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
( or_2
| ? [X0,X1] : ~ is_a_theorem(implies(X1,or(X0,X1))) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,plain,
( ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))
=> or_2 ),
inference(unused_predicate_definition_removal,[],[f11]) ).
fof(f11,axiom,
( or_2
<=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL491+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % 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 : n005.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 02:04:18 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.51 % (10685)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (10685)Refutation not found, incomplete strategy% (10685)------------------------------
% 0.19/0.51 % (10685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (10685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (10685)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (10685)Memory used [KB]: 6012
% 0.19/0.51 % (10685)Time elapsed: 0.109 s
% 0.19/0.51 % (10685)Instructions burned: 2 (million)
% 0.19/0.51 % (10685)------------------------------
% 0.19/0.51 % (10685)------------------------------
% 0.19/0.52 % (10710)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.52 % (10706)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.52 % (10702)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.52 % (10694)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (10683)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52 % (10710)First to succeed.
% 0.19/0.52 % (10688)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.52 % (10698)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (10687)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.53 % (10686)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (10686)Refutation not found, incomplete strategy% (10686)------------------------------
% 0.19/0.53 % (10686)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (10686)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (10686)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (10686)Memory used [KB]: 5884
% 0.19/0.53 % (10686)Time elapsed: 0.001 s
% 0.19/0.53 % (10686)------------------------------
% 0.19/0.53 % (10686)------------------------------
% 0.19/0.53 % (10688)Refutation not found, incomplete strategy% (10688)------------------------------
% 0.19/0.53 % (10688)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (10689)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.53 % (10697)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (10697)Instruction limit reached!
% 0.19/0.53 % (10697)------------------------------
% 0.19/0.53 % (10697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (10697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (10697)Termination reason: Unknown
% 0.19/0.53 % (10697)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (10697)Memory used [KB]: 6012
% 0.19/0.53 % (10697)Time elapsed: 0.004 s
% 0.19/0.53 % (10697)Instructions burned: 3 (million)
% 0.19/0.53 % (10697)------------------------------
% 0.19/0.53 % (10697)------------------------------
% 0.19/0.53 % (10687)Refutation not found, incomplete strategy% (10687)------------------------------
% 0.19/0.53 % (10687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (10687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (10687)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (10687)Memory used [KB]: 5884
% 0.19/0.53 % (10687)Time elapsed: 0.003 s
% 0.19/0.53 % (10687)Instructions burned: 1 (million)
% 0.19/0.53 % (10687)------------------------------
% 0.19/0.53 % (10687)------------------------------
% 0.19/0.53 % (10712)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.53 % (10712)Refutation not found, incomplete strategy% (10712)------------------------------
% 0.19/0.53 % (10712)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (10712)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (10712)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (10712)Memory used [KB]: 5884
% 0.19/0.53 % (10712)Time elapsed: 0.002 s
% 0.19/0.53 % (10712)Instructions burned: 2 (million)
% 0.19/0.53 % (10712)------------------------------
% 0.19/0.53 % (10712)------------------------------
% 0.19/0.53 % (10701)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (10693)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.53 % (10688)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (10688)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (10688)Memory used [KB]: 1407
% 0.19/0.53 % (10688)Time elapsed: 0.004 s
% 0.19/0.53 % (10688)Instructions burned: 2 (million)
% 0.19/0.53 % (10688)------------------------------
% 0.19/0.53 % (10688)------------------------------
% 0.19/0.53 % (10701)Instruction limit reached!
% 0.19/0.53 % (10701)------------------------------
% 0.19/0.53 % (10701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (10702)Refutation not found, incomplete strategy% (10702)------------------------------
% 0.19/0.53 % (10702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (10702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (10702)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (10702)Memory used [KB]: 5884
% 0.19/0.53 % (10702)Time elapsed: 0.003 s
% 0.19/0.53 % (10702)Instructions burned: 1 (million)
% 0.19/0.53 % (10702)------------------------------
% 0.19/0.53 % (10702)------------------------------
% 0.19/0.53 % (10701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (10701)Termination reason: Unknown
% 0.19/0.53 % (10701)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (10701)Memory used [KB]: 1407
% 0.19/0.53 % (10701)Time elapsed: 0.004 s
% 0.19/0.53 % (10701)Instructions burned: 2 (million)
% 0.19/0.53 % (10701)------------------------------
% 0.19/0.53 % (10701)------------------------------
% 0.19/0.53 % (10693)Refutation not found, incomplete strategy% (10693)------------------------------
% 0.19/0.53 % (10693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (10693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (10693)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (10693)Memory used [KB]: 5884
% 0.19/0.53 % (10693)Time elapsed: 0.003 s
% 0.19/0.53 % (10693)Instructions burned: 1 (million)
% 0.19/0.53 % (10693)------------------------------
% 0.19/0.53 % (10693)------------------------------
% 0.19/0.53 % (10705)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.53 % (10700)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (10696)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (10689)Refutation not found, incomplete strategy% (10689)------------------------------
% 0.19/0.53 % (10689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (10689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (10689)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (10689)Memory used [KB]: 5884
% 0.19/0.53 % (10689)Time elapsed: 0.003 s
% 0.19/0.53 % (10689)Instructions burned: 2 (million)
% 0.19/0.53 % (10689)------------------------------
% 0.19/0.53 % (10689)------------------------------
% 0.19/0.53 % (10683)Also succeeded, but the first one will report.
% 0.19/0.53 % (10710)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (10710)------------------------------
% 0.19/0.53 % (10710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (10710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (10710)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (10710)Memory used [KB]: 6012
% 0.19/0.53 % (10710)Time elapsed: 0.122 s
% 0.19/0.53 % (10710)Instructions burned: 4 (million)
% 0.19/0.53 % (10710)------------------------------
% 0.19/0.53 % (10710)------------------------------
% 0.19/0.53 % (10682)Success in time 0.182 s
%------------------------------------------------------------------------------