TSTP Solution File: GEO209+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO209+2 : 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 16:09:14 EDT 2022
% Result : Theorem 0.14s 0.42s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 39 ( 8 unt; 0 def)
% Number of atoms : 130 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 153 ( 62 ~; 39 |; 42 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 68 ( 52 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f162,plain,
$false,
inference(avatar_sat_refutation,[],[f135,f153,f161]) ).
fof(f161,plain,
~ spl4_4,
inference(avatar_contradiction_clause,[],[f160]) ).
fof(f160,plain,
( $false
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f155,f69]) ).
fof(f69,plain,
~ apart_point_and_line(sK1,sK0),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( apart_point_and_line(sK1,sK2)
& ~ apart_point_and_line(sK1,sK0)
& ~ apart_point_and_line(sK1,sK3)
& ~ convergent_lines(sK3,sK2)
& ~ convergent_lines(sK0,sK2)
& distinct_lines(sK0,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f51,f52]) ).
fof(f52,plain,
( ? [X0,X1,X2,X3] :
( apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X1,X0)
& ~ apart_point_and_line(X1,X3)
& ~ convergent_lines(X3,X2)
& ~ convergent_lines(X0,X2)
& distinct_lines(X0,X3) )
=> ( apart_point_and_line(sK1,sK2)
& ~ apart_point_and_line(sK1,sK0)
& ~ apart_point_and_line(sK1,sK3)
& ~ convergent_lines(sK3,sK2)
& ~ convergent_lines(sK0,sK2)
& distinct_lines(sK0,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
? [X0,X1,X2,X3] :
( apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X1,X0)
& ~ apart_point_and_line(X1,X3)
& ~ convergent_lines(X3,X2)
& ~ convergent_lines(X0,X2)
& distinct_lines(X0,X3) ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
? [X1,X0,X3,X2] :
( apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X0,X2)
& ~ convergent_lines(X2,X3)
& ~ convergent_lines(X1,X3)
& distinct_lines(X1,X2) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
? [X0,X2,X3,X1] :
( distinct_lines(X1,X2)
& ~ apart_point_and_line(X0,X2)
& apart_point_and_line(X0,X3)
& ~ convergent_lines(X2,X3)
& ~ apart_point_and_line(X0,X1)
& ~ convergent_lines(X1,X3) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
~ ! [X0,X2,X3,X1] :
( ( ~ apart_point_and_line(X0,X2)
& apart_point_and_line(X0,X3)
& ~ convergent_lines(X2,X3)
& ~ apart_point_and_line(X0,X1)
& ~ convergent_lines(X1,X3) )
=> ~ distinct_lines(X1,X2) ),
inference(rectify,[],[f17]) ).
fof(f17,negated_conjecture,
~ ! [X5,X7,X8,X6] :
( ( ~ convergent_lines(X8,X6)
& ~ apart_point_and_line(X5,X8)
& ~ convergent_lines(X7,X6)
& apart_point_and_line(X5,X6)
& ~ apart_point_and_line(X5,X7) )
=> ~ distinct_lines(X7,X8) ),
inference(negated_conjecture,[],[f16]) ).
fof(f16,conjecture,
! [X5,X7,X8,X6] :
( ( ~ convergent_lines(X8,X6)
& ~ apart_point_and_line(X5,X8)
& ~ convergent_lines(X7,X6)
& apart_point_and_line(X5,X6)
& ~ apart_point_and_line(X5,X7) )
=> ~ distinct_lines(X7,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f155,plain,
( apart_point_and_line(sK1,sK0)
| ~ spl4_4 ),
inference(resolution,[],[f134,f68]) ).
fof(f68,plain,
~ apart_point_and_line(sK1,sK3),
inference(cnf_transformation,[],[f53]) ).
fof(f134,plain,
( ! [X10] :
( apart_point_and_line(X10,sK3)
| apart_point_and_line(X10,sK0) )
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl4_4
<=> ! [X10] :
( apart_point_and_line(X10,sK3)
| apart_point_and_line(X10,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f153,plain,
~ spl4_3,
inference(avatar_contradiction_clause,[],[f152]) ).
fof(f152,plain,
( $false
| ~ spl4_3 ),
inference(subsumption_resolution,[],[f147,f66]) ).
fof(f66,plain,
~ convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f53]) ).
fof(f147,plain,
( convergent_lines(sK0,sK2)
| ~ spl4_3 ),
inference(resolution,[],[f137,f67]) ).
fof(f67,plain,
~ convergent_lines(sK3,sK2),
inference(cnf_transformation,[],[f53]) ).
fof(f137,plain,
( ! [X0] :
( convergent_lines(sK3,X0)
| convergent_lines(sK0,X0) )
| ~ spl4_3 ),
inference(resolution,[],[f131,f83]) ).
fof(f83,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X1,X2)
| convergent_lines(X1,X0)
| convergent_lines(X2,X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X1,X2)
| convergent_lines(X1,X0)
| convergent_lines(X2,X0) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X0,X2,X1] :
( ~ convergent_lines(X2,X1)
| convergent_lines(X2,X0)
| convergent_lines(X1,X0) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X2,X0,X1] :
( convergent_lines(X2,X0)
| convergent_lines(X1,X0)
| ~ convergent_lines(X2,X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X2,X0,X1] :
( convergent_lines(X2,X1)
=> ( convergent_lines(X2,X0)
| convergent_lines(X1,X0) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2,X1,X0] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart6) ).
fof(f131,plain,
( convergent_lines(sK0,sK3)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl4_3
<=> convergent_lines(sK0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f135,plain,
( spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f118,f133,f129]) ).
fof(f118,plain,
! [X10] :
( apart_point_and_line(X10,sK3)
| convergent_lines(sK0,sK3)
| apart_point_and_line(X10,sK0) ),
inference(resolution,[],[f76,f65]) ).
fof(f65,plain,
distinct_lines(sK0,sK3),
inference(cnf_transformation,[],[f53]) ).
fof(f76,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X2,X0)
| convergent_lines(X2,X0)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2] :
( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0)
| ~ distinct_lines(X2,X0)
| convergent_lines(X2,X0) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
! [X1,X2,X0] :
( apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1)
| ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X1,X2,X0] :
( apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1)
| convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X1,X2,X0] :
( distinct_lines(X0,X1)
=> ( apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1)
| convergent_lines(X0,X1) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X1,X2,X0] :
( distinct_lines(X1,X2)
=> ( convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cup1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : GEO209+2 : TPTP v8.1.0. Released v3.3.0.
% 0.05/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.30 % Computer : n021.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Aug 29 21:24:40 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.14/0.41 % (17094)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)
% 0.14/0.42 % (17103)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.14/0.42 % (17094)First to succeed.
% 0.14/0.42 % (17094)Refutation found. Thanks to Tanya!
% 0.14/0.42 % SZS status Theorem for theBenchmark
% 0.14/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.42 % (17094)------------------------------
% 0.14/0.42 % (17094)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.42 % (17094)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.42 % (17094)Termination reason: Refutation
% 0.14/0.42
% 0.14/0.42 % (17094)Memory used [KB]: 6012
% 0.14/0.42 % (17094)Time elapsed: 0.053 s
% 0.14/0.42 % (17094)Instructions burned: 4 (million)
% 0.14/0.42 % (17094)------------------------------
% 0.14/0.42 % (17094)------------------------------
% 0.14/0.42 % (17077)Success in time 0.119 s
%------------------------------------------------------------------------------