TSTP Solution File: GEO179+3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO179+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : n020.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 16:08:59 EDT 2022
% Result : Theorem 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 47 ( 9 unt; 0 def)
% Number of atoms : 115 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 111 ( 43 ~; 41 |; 16 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 68 ( 56 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f155,plain,
$false,
inference(avatar_sat_refutation,[],[f106,f139,f154]) ).
fof(f154,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f153]) ).
fof(f153,plain,
( $false
| spl3_2 ),
inference(subsumption_resolution,[],[f150,f129]) ).
fof(f129,plain,
distinct_points(sK0,sK2),
inference(unit_resulting_resolution,[],[f84,f111,f89]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,X1)
| apart_point_and_line(X0,X1)
| distinct_points(X2,X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1,X2] :
( distinct_points(X2,X0)
| ~ apart_point_and_line(X2,X1)
| apart_point_and_line(X0,X1) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X1,X2,X0] :
( distinct_points(X0,X1)
| ~ apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0,X2,X1] :
( apart_point_and_line(X1,X2)
| distinct_points(X0,X1)
| ~ apart_point_and_line(X0,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X2,X1] :
( apart_point_and_line(X0,X2)
=> ( apart_point_and_line(X1,X2)
| distinct_points(X0,X1) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0,X2,X1] :
( apart_point_and_line(X0,X1)
=> ( distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq1) ).
fof(f111,plain,
~ apart_point_and_line(sK2,line_connecting(sK1,sK2)),
inference(unit_resulting_resolution,[],[f85,f95]) ).
fof(f95,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci2) ).
fof(f85,plain,
distinct_points(sK1,sK2),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( ( ~ distinct_lines(line_connecting(sK1,sK2),line_connecting(sK0,sK1))
| ~ distinct_lines(line_connecting(sK1,sK2),line_connecting(sK0,sK2)) )
& distinct_points(sK1,sK2)
& apart_point_and_line(sK0,line_connecting(sK1,sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f69,f70]) ).
fof(f70,plain,
( ? [X0,X1,X2] :
( ( ~ distinct_lines(line_connecting(X1,X2),line_connecting(X0,X1))
| ~ distinct_lines(line_connecting(X1,X2),line_connecting(X0,X2)) )
& distinct_points(X1,X2)
& apart_point_and_line(X0,line_connecting(X1,X2)) )
=> ( ( ~ distinct_lines(line_connecting(sK1,sK2),line_connecting(sK0,sK1))
| ~ distinct_lines(line_connecting(sK1,sK2),line_connecting(sK0,sK2)) )
& distinct_points(sK1,sK2)
& apart_point_and_line(sK0,line_connecting(sK1,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
? [X0,X1,X2] :
( ( ~ distinct_lines(line_connecting(X1,X2),line_connecting(X0,X1))
| ~ distinct_lines(line_connecting(X1,X2),line_connecting(X0,X2)) )
& distinct_points(X1,X2)
& apart_point_and_line(X0,line_connecting(X1,X2)) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
? [X2,X0,X1] :
( ( ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0))
| ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1)) )
& distinct_points(X0,X1)
& apart_point_and_line(X2,line_connecting(X0,X1)) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
? [X0,X1,X2] :
( ( ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0))
| ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1)) )
& distinct_points(X0,X1)
& apart_point_and_line(X2,line_connecting(X0,X1)) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2] :
( ( distinct_points(X0,X1)
& apart_point_and_line(X2,line_connecting(X0,X1)) )
=> ( distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1))
& distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0)) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1,X2] :
( ( distinct_points(X0,X1)
& apart_point_and_line(X2,line_connecting(X0,X1)) )
=> ( distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1))
& distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f84,plain,
apart_point_and_line(sK0,line_connecting(sK1,sK2)),
inference(cnf_transformation,[],[f71]) ).
fof(f150,plain,
( ~ distinct_points(sK0,sK2)
| spl3_2 ),
inference(unit_resulting_resolution,[],[f149,f97]) ).
fof(f97,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(rectify,[],[f59]) ).
fof(f59,plain,
! [X1,X0] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci1) ).
fof(f149,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK2))
| spl3_2 ),
inference(unit_resulting_resolution,[],[f84,f105,f96]) ).
fof(f96,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| distinct_lines(X2,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1,X2] :
( distinct_lines(X2,X1)
| apart_point_and_line(X0,X1)
| ~ apart_point_and_line(X0,X2) ),
inference(rectify,[],[f61]) ).
fof(f61,plain,
! [X1,X0,X2] :
( distinct_lines(X2,X0)
| apart_point_and_line(X1,X0)
| ~ apart_point_and_line(X1,X2) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
! [X0,X1,X2] :
( distinct_lines(X2,X0)
| apart_point_and_line(X1,X0)
| ~ apart_point_and_line(X1,X2) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( apart_point_and_line(X1,X2)
=> ( distinct_lines(X2,X0)
| apart_point_and_line(X1,X0) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X2,X0,X1] :
( apart_point_and_line(X0,X1)
=> ( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq2) ).
fof(f105,plain,
( ~ distinct_lines(line_connecting(sK1,sK2),line_connecting(sK0,sK2))
| spl3_2 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl3_2
<=> distinct_lines(line_connecting(sK1,sK2),line_connecting(sK0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f139,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f138]) ).
fof(f138,plain,
( $false
| spl3_1 ),
inference(subsumption_resolution,[],[f135,f126]) ).
fof(f126,plain,
distinct_points(sK0,sK1),
inference(unit_resulting_resolution,[],[f84,f107,f89]) ).
fof(f107,plain,
~ apart_point_and_line(sK1,line_connecting(sK1,sK2)),
inference(unit_resulting_resolution,[],[f85,f97]) ).
fof(f135,plain,
( ~ distinct_points(sK0,sK1)
| spl3_1 ),
inference(unit_resulting_resolution,[],[f118,f97]) ).
fof(f118,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| spl3_1 ),
inference(unit_resulting_resolution,[],[f84,f101,f96]) ).
fof(f101,plain,
( ~ distinct_lines(line_connecting(sK1,sK2),line_connecting(sK0,sK1))
| spl3_1 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f99,plain,
( spl3_1
<=> distinct_lines(line_connecting(sK1,sK2),line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f106,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f86,f103,f99]) ).
fof(f86,plain,
( ~ distinct_lines(line_connecting(sK1,sK2),line_connecting(sK0,sK2))
| ~ distinct_lines(line_connecting(sK1,sK2),line_connecting(sK0,sK1)) ),
inference(cnf_transformation,[],[f71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO179+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 21:26:45 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.52 % (28585)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 % (28581)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)
% 0.21/0.53 % (28628)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 % (28581)First to succeed.
% 0.21/0.53 % (28581)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 % (28581)------------------------------
% 0.21/0.53 % (28581)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (28581)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (28581)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (28581)Memory used [KB]: 6012
% 0.21/0.53 % (28581)Time elapsed: 0.078 s
% 0.21/0.53 % (28581)Instructions burned: 2 (million)
% 0.21/0.53 % (28581)------------------------------
% 0.21/0.53 % (28581)------------------------------
% 0.21/0.53 % (28567)Success in time 0.156 s
%------------------------------------------------------------------------------