TSTP Solution File: LCL506+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL506+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 : 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 17:42:53 EDT 2022
% Result : Theorem 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 9 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 17 ~; 12 |; 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(f199,plain,
$false,
inference(avatar_sat_refutation,[],[f127,f128,f181,f190,f198]) ).
fof(f198,plain,
( ~ spl2_4
| spl2_15 ),
inference(avatar_contradiction_clause,[],[f197]) ).
fof(f197,plain,
( $false
| ~ spl2_4
| spl2_15 ),
inference(subsumption_resolution,[],[f176,f126]) ).
fof(f126,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X1,X0),X1))
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl2_4
<=> ! [X0,X1] : is_a_theorem(implies(and(X1,X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f176,plain,
( ~ is_a_theorem(implies(and(sK0,sK1),sK0))
| spl2_15 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f174,plain,
( spl2_15
<=> is_a_theorem(implies(and(sK0,sK1),sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).
fof(f190,plain,
~ spl2_16,
inference(avatar_split_clause,[],[f107,f178]) ).
fof(f178,plain,
( spl2_16
<=> and_1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_16])]) ).
fof(f107,plain,
~ and_1,
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
~ and_1,
inference(flattening,[],[f44]) ).
fof(f44,negated_conjecture,
~ and_1,
inference(negated_conjecture,[],[f43]) ).
fof(f43,conjecture,
and_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_and_1) ).
fof(f181,plain,
( ~ spl2_15
| spl2_16 ),
inference(avatar_split_clause,[],[f101,f178,f174]) ).
fof(f101,plain,
( and_1
| ~ is_a_theorem(implies(and(sK0,sK1),sK0)) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
( ~ is_a_theorem(implies(and(sK0,sK1),sK0))
| and_1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f84,f88]) ).
fof(f88,plain,
( ? [X0,X1] : ~ is_a_theorem(implies(and(X0,X1),X0))
=> ~ is_a_theorem(implies(and(sK0,sK1),sK0)) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
( ? [X0,X1] : ~ is_a_theorem(implies(and(X0,X1),X0))
| and_1 ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))
=> and_1 ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f7,axiom,
( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))
<=> and_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_1) ).
fof(f128,plain,
spl2_3,
inference(avatar_split_clause,[],[f108,f121]) ).
fof(f121,plain,
( spl2_3
<=> kn2 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f108,plain,
kn2,
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
kn2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rosser_kn2) ).
fof(f127,plain,
( ~ spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f97,f125,f121]) ).
fof(f97,plain,
! [X0,X1] :
( is_a_theorem(implies(and(X1,X0),X1))
| ~ kn2 ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X1,X0),X1))
| ~ kn2 ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,plain,
( kn2
=> ! [X0,X1] : is_a_theorem(implies(and(X1,X0),X1)) ),
inference(unused_predicate_definition_removal,[],[f66]) ).
fof(f66,plain,
( kn2
<=> ! [X0,X1] : is_a_theorem(implies(and(X1,X0),X1)) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
( kn2
<=> ! [X4,X3] : is_a_theorem(implies(and(X3,X4),X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kn2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL506+1 : TPTP v8.1.0. Released v3.3.0.
% 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
% 0.14/0.34 % Computer : n021.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
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 02:01:55 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.47 % (21691)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)
% 0.21/0.49 % (21691)Refutation not found, incomplete strategy% (21691)------------------------------
% 0.21/0.49 % (21691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (21708)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)
% 0.21/0.49 % (21691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (21691)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.49
% 0.21/0.49 % (21691)Memory used [KB]: 6012
% 0.21/0.49 % (21691)Time elapsed: 0.084 s
% 0.21/0.49 % (21691)Instructions burned: 2 (million)
% 0.21/0.49 % (21691)------------------------------
% 0.21/0.49 % (21691)------------------------------
% 0.21/0.49 % (21708)Refutation not found, incomplete strategy% (21708)------------------------------
% 0.21/0.49 % (21708)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (21708)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (21708)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.49
% 0.21/0.49 % (21708)Memory used [KB]: 5884
% 0.21/0.49 % (21708)Time elapsed: 0.003 s
% 0.21/0.49 % (21708)Instructions burned: 1 (million)
% 0.21/0.49 % (21708)------------------------------
% 0.21/0.49 % (21708)------------------------------
% 0.21/0.49 % (21699)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)
% 0.21/0.49 % (21699)Refutation not found, incomplete strategy% (21699)------------------------------
% 0.21/0.49 % (21699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (21699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (21699)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.50
% 0.21/0.50 % (21699)Memory used [KB]: 5884
% 0.21/0.50 % (21699)Time elapsed: 0.004 s
% 0.21/0.50 % (21699)Instructions burned: 1 (million)
% 0.21/0.50 % (21699)------------------------------
% 0.21/0.50 % (21699)------------------------------
% 0.21/0.51 % (21692)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)
% 0.21/0.51 % (21697)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.52 % (21695)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)
% 0.21/0.52 % (21695)Refutation not found, incomplete strategy% (21695)------------------------------
% 0.21/0.52 % (21695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (21695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (21695)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52
% 0.21/0.52 % (21695)Memory used [KB]: 5884
% 0.21/0.52 % (21695)Time elapsed: 0.002 s
% 0.21/0.52 % (21695)------------------------------
% 0.21/0.52 % (21695)------------------------------
% 0.21/0.52 % (21694)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)
% 0.21/0.52 % (21711)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=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.52 % (21711)Refutation not found, incomplete strategy% (21711)------------------------------
% 0.21/0.52 % (21711)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (21711)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (21711)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52
% 0.21/0.52 % (21711)Memory used [KB]: 5884
% 0.21/0.52 % (21711)Time elapsed: 0.002 s
% 0.21/0.52 % (21711)Instructions burned: 2 (million)
% 0.21/0.52 % (21711)------------------------------
% 0.21/0.52 % (21711)------------------------------
% 0.21/0.52 % (21693)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)
% 0.21/0.52 % (21693)Refutation not found, incomplete strategy% (21693)------------------------------
% 0.21/0.52 % (21693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (21693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (21693)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52
% 0.21/0.52 % (21693)Memory used [KB]: 5884
% 0.21/0.52 % (21693)Time elapsed: 0.002 s
% 0.21/0.52 % (21693)Instructions burned: 2 (million)
% 0.21/0.52 % (21693)------------------------------
% 0.21/0.52 % (21693)------------------------------
% 0.21/0.53 % (21709)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)
% 0.21/0.53 % (21709)Refutation not found, incomplete strategy% (21709)------------------------------
% 0.21/0.53 % (21709)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (21709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (21709)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53
% 0.21/0.53 % (21709)Memory used [KB]: 5884
% 0.21/0.53 % (21709)Time elapsed: 0.002 s
% 0.21/0.53 % (21709)Instructions burned: 1 (million)
% 0.21/0.53 % (21709)------------------------------
% 0.21/0.53 % (21709)------------------------------
% 0.21/0.53 % (21694)Refutation not found, incomplete strategy% (21694)------------------------------
% 0.21/0.53 % (21694)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (21688)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.53 % (21694)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (21694)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53
% 0.21/0.53 % (21694)Memory used [KB]: 1407
% 0.21/0.53 % (21694)Time elapsed: 0.004 s
% 0.21/0.53 % (21694)Instructions burned: 1 (million)
% 0.21/0.53 % (21694)------------------------------
% 0.21/0.53 % (21694)------------------------------
% 0.21/0.53 % (21712)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)
% 0.21/0.53 % (21719)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)
% 0.21/0.53 % (21688)First to succeed.
% 0.21/0.53 % (21719)Refutation not found, incomplete strategy% (21719)------------------------------
% 0.21/0.53 % (21719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (21719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (21719)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53
% 0.21/0.53 % (21719)Memory used [KB]: 5884
% 0.21/0.53 % (21719)Time elapsed: 0.003 s
% 0.21/0.53 % (21719)------------------------------
% 0.21/0.53 % (21719)------------------------------
% 0.21/0.53 % (21688)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Theorem for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (21688)------------------------------
% 0.21/0.53 % (21688)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (21688)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (21688)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (21688)Memory used [KB]: 6012
% 0.21/0.53 % (21688)Time elapsed: 0.131 s
% 0.21/0.53 % (21688)Instructions burned: 2 (million)
% 0.21/0.53 % (21688)------------------------------
% 0.21/0.53 % (21688)------------------------------
% 0.21/0.53 % (21683)Success in time 0.18 s
%------------------------------------------------------------------------------