TSTP Solution File: GEO219+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO219+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 : n009.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 16:09:19 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 40 ( 7 unt; 0 def)
% Number of atoms : 115 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 136 ( 61 ~; 40 |; 25 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 69 ( 57 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f133,plain,
$false,
inference(avatar_sat_refutation,[],[f110,f114,f132]) ).
fof(f132,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f127]) ).
fof(f127,plain,
( $false
| ~ spl3_2 ),
inference(unit_resulting_resolution,[],[f82,f81,f109]) ).
fof(f109,plain,
( ! [X0] :
( unorthogonal_lines(X0,sK0)
| convergent_lines(X0,sK2) )
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl3_2
<=> ! [X0] :
( unorthogonal_lines(X0,sK0)
| convergent_lines(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f81,plain,
~ unorthogonal_lines(sK1,sK0),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( unorthogonal_lines(sK0,sK2)
& ~ convergent_lines(sK1,sK2)
& ~ unorthogonal_lines(sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f64,f65]) ).
fof(f65,plain,
( ? [X0,X1,X2] :
( unorthogonal_lines(X0,X2)
& ~ convergent_lines(X1,X2)
& ~ unorthogonal_lines(X1,X0) )
=> ( unorthogonal_lines(sK0,sK2)
& ~ convergent_lines(sK1,sK2)
& ~ unorthogonal_lines(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
? [X0,X1,X2] :
( unorthogonal_lines(X0,X2)
& ~ convergent_lines(X1,X2)
& ~ unorthogonal_lines(X1,X0) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
? [X1,X0,X2] :
( unorthogonal_lines(X1,X2)
& ~ convergent_lines(X0,X2)
& ~ unorthogonal_lines(X0,X1) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
? [X2,X0,X1] :
( unorthogonal_lines(X1,X2)
& ~ unorthogonal_lines(X0,X1)
& ~ convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
~ ! [X2,X0,X1] :
( ( ~ unorthogonal_lines(X0,X1)
& ~ convergent_lines(X0,X2) )
=> ~ unorthogonal_lines(X1,X2) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X5,X6,X7] :
( ( ~ convergent_lines(X5,X7)
& ~ unorthogonal_lines(X5,X6) )
=> ~ unorthogonal_lines(X6,X7) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X5,X6,X7] :
( ( ~ convergent_lines(X5,X7)
& ~ unorthogonal_lines(X5,X6) )
=> ~ unorthogonal_lines(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f82,plain,
~ convergent_lines(sK1,sK2),
inference(cnf_transformation,[],[f66]) ).
fof(f114,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f111]) ).
fof(f111,plain,
( $false
| spl3_1 ),
inference(unit_resulting_resolution,[],[f82,f106,f95]) ).
fof(f95,plain,
! [X0] :
( convergent_lines(sK1,X0)
| convergent_lines(sK0,X0) ),
inference(resolution,[],[f72,f94]) ).
fof(f94,plain,
convergent_lines(sK1,sK0),
inference(resolution,[],[f92,f81]) ).
fof(f92,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
~ ( ~ unorthogonal_lines(X0,X1)
& ~ convergent_lines(X0,X1) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X5,X6] :
~ ( ~ convergent_lines(X5,X6)
& ~ unorthogonal_lines(X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',coipo1) ).
fof(f72,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X1,X0)
| convergent_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X1,X0)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X2)
| convergent_lines(X2,X1)
| convergent_lines(X0,X1) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0,X2,X1] :
( convergent_lines(X2,X1)
| convergent_lines(X0,X1)
| ~ convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X2,X1] :
( convergent_lines(X0,X2)
=> ( convergent_lines(X2,X1)
| convergent_lines(X0,X1) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0,X2,X1] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f106,plain,
( ~ convergent_lines(sK0,sK2)
| spl3_1 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl3_1
<=> convergent_lines(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f110,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f102,f108,f105]) ).
fof(f102,plain,
! [X0] :
( unorthogonal_lines(X0,sK0)
| ~ convergent_lines(sK0,sK2)
| convergent_lines(X0,sK2) ),
inference(resolution,[],[f84,f83]) ).
fof(f83,plain,
unorthogonal_lines(sK0,sK2),
inference(cnf_transformation,[],[f66]) ).
fof(f84,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X1,X0)
| unorthogonal_lines(X2,X1)
| ~ convergent_lines(X1,X0)
| convergent_lines(X2,X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ( convergent_lines(X2,X1)
& unorthogonal_lines(X2,X1) )
| ~ unorthogonal_lines(X1,X0)
| ( unorthogonal_lines(X2,X0)
& convergent_lines(X2,X0) )
| ~ convergent_lines(X1,X0) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ( convergent_lines(X1,X0)
& unorthogonal_lines(X1,X0) )
| ~ unorthogonal_lines(X0,X2)
| ( unorthogonal_lines(X1,X2)
& convergent_lines(X1,X2) )
| ~ convergent_lines(X0,X2) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ~ unorthogonal_lines(X0,X2)
| ~ convergent_lines(X0,X2)
| ( unorthogonal_lines(X1,X2)
& convergent_lines(X1,X2) )
| ( convergent_lines(X1,X0)
& unorthogonal_lines(X1,X0) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( ( ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) )
& ( ~ unorthogonal_lines(X1,X0)
| ~ convergent_lines(X1,X0) ) )
=> ( ~ unorthogonal_lines(X0,X2)
| ~ convergent_lines(X0,X2) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X6,X5,X7] :
( ( ( ~ unorthogonal_lines(X5,X6)
| ~ convergent_lines(X5,X6) )
& ( ~ convergent_lines(X5,X7)
| ~ unorthogonal_lines(X5,X7) ) )
=> ( ~ convergent_lines(X6,X7)
| ~ unorthogonal_lines(X6,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cotno1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO219+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 21:27:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.48 % (4453)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)
% 0.19/0.48 % (4453)Instruction limit reached!
% 0.19/0.48 % (4453)------------------------------
% 0.19/0.48 % (4453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (4478)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)
% 0.19/0.49 % (4469)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)
% 0.19/0.49 % (4453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (4453)Termination reason: Unknown
% 0.19/0.49 % (4453)Termination phase: Saturation
% 0.19/0.49
% 0.19/0.49 % (4453)Memory used [KB]: 5884
% 0.19/0.49 % (4453)Time elapsed: 0.107 s
% 0.19/0.49 % (4453)Instructions burned: 3 (million)
% 0.19/0.49 % (4453)------------------------------
% 0.19/0.49 % (4453)------------------------------
% 0.19/0.50 % (4451)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.50 % (4469)Instruction limit reached!
% 0.19/0.50 % (4469)------------------------------
% 0.19/0.50 % (4469)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (4456)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)
% 0.19/0.50 % (4469)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (4469)Termination reason: Unknown
% 0.19/0.50 % (4469)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (4469)Memory used [KB]: 5884
% 0.19/0.50 % (4469)Time elapsed: 0.004 s
% 0.19/0.50 % (4469)Instructions burned: 2 (million)
% 0.19/0.50 % (4469)------------------------------
% 0.19/0.50 % (4469)------------------------------
% 0.19/0.50 % (4461)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)
% 0.19/0.50 % (4478)First to succeed.
% 0.19/0.50 % (4452)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.50 % (4478)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (4478)------------------------------
% 0.19/0.50 % (4478)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (4478)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (4478)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (4478)Memory used [KB]: 6012
% 0.19/0.50 % (4478)Time elapsed: 0.117 s
% 0.19/0.50 % (4478)Instructions burned: 3 (million)
% 0.19/0.50 % (4478)------------------------------
% 0.19/0.50 % (4478)------------------------------
% 0.19/0.50 % (4450)Success in time 0.16 s
%------------------------------------------------------------------------------