TSTP Solution File: GEO191+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO191+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n008.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 : Tue Apr 30 11:14:35 EDT 2024
% Result : Theorem 0.13s 0.36s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 41 ( 13 unt; 0 def)
% Number of atoms : 111 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 108 ( 38 ~; 35 |; 26 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 77 ( 65 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f203,plain,
$false,
inference(avatar_sat_refutation,[],[f148,f200,f202]) ).
fof(f202,plain,
~ spl5_1,
inference(avatar_contradiction_clause,[],[f201]) ).
fof(f201,plain,
( $false
| ~ spl5_1 ),
inference(resolution,[],[f143,f194]) ).
fof(f194,plain,
! [X0,X1] : ~ apart_point_and_line(X0,X1),
inference(resolution,[],[f166,f180]) ).
fof(f180,plain,
! [X0,X1] : ~ distinct_lines(X0,parallel_through_point(X0,X1)),
inference(resolution,[],[f175,f109]) ).
fof(f109,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f175,plain,
! [X0,X1] : ~ convergent_lines(X0,parallel_through_point(X0,X1)),
inference(resolution,[],[f172,f139]) ).
fof(f139,plain,
! [X0,X1] : ~ distinct_lines(parallel_through_point(X0,X1),X0),
inference(resolution,[],[f109,f105]) ).
fof(f105,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp1) ).
fof(f172,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X1,X0) ),
inference(resolution,[],[f122,f101]) ).
fof(f101,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart3) ).
fof(f122,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).
fof(f166,plain,
! [X2,X0,X1] :
( distinct_lines(X0,parallel_through_point(X1,X2))
| ~ apart_point_and_line(X2,X0) ),
inference(resolution,[],[f121,f104]) ).
fof(f104,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp2) ).
fof(f121,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq2) ).
fof(f143,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK2)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl5_1
<=> apart_point_and_line(intersection_point(sK0,sK1),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f200,plain,
~ spl5_2,
inference(avatar_contradiction_clause,[],[f197]) ).
fof(f197,plain,
( $false
| ~ spl5_2 ),
inference(resolution,[],[f194,f147]) ).
fof(f147,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK3)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f145,plain,
( spl5_2
<=> apart_point_and_line(intersection_point(sK0,sK1),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f148,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f96,f145,f141]) ).
fof(f96,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK3)
| apart_point_and_line(intersection_point(sK0,sK1),sK2) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ~ apart_point_and_line(intersection_point(sK2,sK3),sK1)
& ~ apart_point_and_line(intersection_point(sK2,sK3),sK0)
& ( apart_point_and_line(intersection_point(sK0,sK1),sK3)
| apart_point_and_line(intersection_point(sK0,sK1),sK2) )
& convergent_lines(sK2,sK3)
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f53,f92]) ).
fof(f92,plain,
( ? [X0,X1,X2,X3] :
( ~ apart_point_and_line(intersection_point(X2,X3),X1)
& ~ apart_point_and_line(intersection_point(X2,X3),X0)
& ( apart_point_and_line(intersection_point(X0,X1),X3)
| apart_point_and_line(intersection_point(X0,X1),X2) )
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) )
=> ( ~ apart_point_and_line(intersection_point(sK2,sK3),sK1)
& ~ apart_point_and_line(intersection_point(sK2,sK3),sK0)
& ( apart_point_and_line(intersection_point(sK0,sK1),sK3)
| apart_point_and_line(intersection_point(sK0,sK1),sK2) )
& convergent_lines(sK2,sK3)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(intersection_point(X2,X3),X1)
& ~ apart_point_and_line(intersection_point(X2,X3),X0)
& ( apart_point_and_line(intersection_point(X0,X1),X3)
| apart_point_and_line(intersection_point(X0,X1),X2) )
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(intersection_point(X2,X3),X1)
& ~ apart_point_and_line(intersection_point(X2,X3),X0)
& ( apart_point_and_line(intersection_point(X0,X1),X3)
| apart_point_and_line(intersection_point(X0,X1),X2) )
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X0,X1,X2,X3] :
( ( ( apart_point_and_line(intersection_point(X0,X1),X3)
| apart_point_and_line(intersection_point(X0,X1),X2) )
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) )
=> ( apart_point_and_line(intersection_point(X2,X3),X1)
| apart_point_and_line(intersection_point(X2,X3),X0) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( ( apart_point_and_line(intersection_point(X0,X1),X4)
| apart_point_and_line(intersection_point(X0,X1),X3) )
& convergent_lines(X3,X4)
& convergent_lines(X0,X1) )
=> ( apart_point_and_line(intersection_point(X3,X4),X1)
| apart_point_and_line(intersection_point(X3,X4),X0) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1,X3,X4] :
( ( ( apart_point_and_line(intersection_point(X0,X1),X4)
| apart_point_and_line(intersection_point(X0,X1),X3) )
& convergent_lines(X3,X4)
& convergent_lines(X0,X1) )
=> ( apart_point_and_line(intersection_point(X3,X4),X1)
| apart_point_and_line(intersection_point(X3,X4),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO191+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 05:47:28 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (15098)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (15103)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.13/0.36 % (15103)First to succeed.
% 0.13/0.36 % (15103)Refutation found. Thanks to Tanya!
% 0.13/0.36 % SZS status Theorem for theBenchmark
% 0.13/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.36 % (15103)------------------------------
% 0.13/0.36 % (15103)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.36 % (15103)Termination reason: Refutation
% 0.13/0.36
% 0.13/0.36 % (15103)Memory used [KB]: 974
% 0.13/0.36 % (15103)Time elapsed: 0.004 s
% 0.13/0.36 % (15103)Instructions burned: 7 (million)
% 0.13/0.36 % (15103)------------------------------
% 0.13/0.36 % (15103)------------------------------
% 0.13/0.36 % (15098)Success in time 0.013 s
%------------------------------------------------------------------------------