TSTP Solution File: GEO177+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO177+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 : n023.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 : Sun May 5 05:15:52 EDT 2024
% Result : Theorem 0.21s 0.39s
% Output : Refutation 0.21s
% 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 |; 23 &)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 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(f212,plain,
$false,
inference(avatar_sat_refutation,[],[f148,f209,f211]) ).
fof(f211,plain,
~ spl5_1,
inference(avatar_contradiction_clause,[],[f210]) ).
fof(f210,plain,
( $false
| ~ spl5_1 ),
inference(resolution,[],[f143,f203]) ).
fof(f203,plain,
! [X0,X1] : ~ apart_point_and_line(X0,X1),
inference(resolution,[],[f169,f162]) ).
fof(f162,plain,
! [X0,X1] : ~ distinct_lines(X0,parallel_through_point(X0,X1)),
inference(resolution,[],[f158,f107]) ).
fof(f107,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,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/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f158,plain,
! [X0,X1] : ~ convergent_lines(X0,parallel_through_point(X0,X1)),
inference(resolution,[],[f153,f139]) ).
fof(f139,plain,
! [X0,X1] : ~ distinct_lines(parallel_through_point(X0,X1),X0),
inference(resolution,[],[f107,f103]) ).
fof(f103,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/sandbox/benchmark/theBenchmark.p',cp1) ).
fof(f153,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X1,X0) ),
inference(resolution,[],[f120,f101]) ).
fof(f101,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart3) ).
fof(f120,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f74]) ).
fof(f74,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/sandbox/benchmark/theBenchmark.p',ceq3) ).
fof(f169,plain,
! [X2,X0,X1] :
( distinct_lines(X0,parallel_through_point(X1,X2))
| ~ apart_point_and_line(X2,X0) ),
inference(resolution,[],[f122,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/sandbox/benchmark/theBenchmark.p',cp2) ).
fof(f122,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f78]) ).
fof(f78,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/sandbox/benchmark/theBenchmark.p',ceq2) ).
fof(f143,plain,
( apart_point_and_line(sK0,line_connecting(sK2,sK3))
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl5_1
<=> apart_point_and_line(sK0,line_connecting(sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f209,plain,
~ spl5_2,
inference(avatar_contradiction_clause,[],[f206]) ).
fof(f206,plain,
( $false
| ~ spl5_2 ),
inference(resolution,[],[f203,f147]) ).
fof(f147,plain,
( apart_point_and_line(sK1,line_connecting(sK2,sK3))
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f145,plain,
( spl5_2
<=> apart_point_and_line(sK1,line_connecting(sK2,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(sK1,line_connecting(sK2,sK3))
| apart_point_and_line(sK0,line_connecting(sK2,sK3)) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ~ apart_point_and_line(sK3,line_connecting(sK0,sK1))
& ~ apart_point_and_line(sK2,line_connecting(sK0,sK1))
& ( apart_point_and_line(sK1,line_connecting(sK2,sK3))
| apart_point_and_line(sK0,line_connecting(sK2,sK3)) )
& distinct_points(sK2,sK3)
& distinct_points(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(X3,line_connecting(X0,X1))
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& ( apart_point_and_line(X1,line_connecting(X2,X3))
| apart_point_and_line(X0,line_connecting(X2,X3)) )
& distinct_points(X2,X3)
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(sK3,line_connecting(sK0,sK1))
& ~ apart_point_and_line(sK2,line_connecting(sK0,sK1))
& ( apart_point_and_line(sK1,line_connecting(sK2,sK3))
| apart_point_and_line(sK0,line_connecting(sK2,sK3)) )
& distinct_points(sK2,sK3)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X3,line_connecting(X0,X1))
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& ( apart_point_and_line(X1,line_connecting(X2,X3))
| apart_point_and_line(X0,line_connecting(X2,X3)) )
& distinct_points(X2,X3)
& distinct_points(X0,X1) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X3,line_connecting(X0,X1))
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& ( apart_point_and_line(X1,line_connecting(X2,X3))
| apart_point_and_line(X0,line_connecting(X2,X3)) )
& distinct_points(X2,X3)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X0,X1,X2,X3] :
( ( distinct_points(X2,X3)
& distinct_points(X0,X1) )
=> ( ( apart_point_and_line(X1,line_connecting(X2,X3))
| apart_point_and_line(X0,line_connecting(X2,X3)) )
=> ( apart_point_and_line(X3,line_connecting(X0,X1))
| apart_point_and_line(X2,line_connecting(X0,X1)) ) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( distinct_points(X3,X4)
& distinct_points(X0,X1) )
=> ( ( apart_point_and_line(X1,line_connecting(X3,X4))
| apart_point_and_line(X0,line_connecting(X3,X4)) )
=> ( apart_point_and_line(X4,line_connecting(X0,X1))
| apart_point_and_line(X3,line_connecting(X0,X1)) ) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1,X3,X4] :
( ( distinct_points(X3,X4)
& distinct_points(X0,X1) )
=> ( ( apart_point_and_line(X1,line_connecting(X3,X4))
| apart_point_and_line(X0,line_connecting(X3,X4)) )
=> ( apart_point_and_line(X4,line_connecting(X0,X1))
| apart_point_and_line(X3,line_connecting(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : GEO177+3 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 21:58:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (6244)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (6248)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.38 % (6249)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.38 % (6246)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.38 % (6247)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)
% 0.21/0.38 % (6250)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.38 % (6251)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.39 TRYING [1,1]
% 0.21/0.39 TRYING [1,1]
% 0.21/0.39 TRYING [1]
% 0.21/0.39 TRYING [2,2]
% 0.21/0.39 TRYING [2,2]
% 0.21/0.39 TRYING [2]
% 0.21/0.39 % (6247)First to succeed.
% 0.21/0.39 TRYING [3,2]
% 0.21/0.39 TRYING [3,2]
% 0.21/0.39 TRYING [3]
% 0.21/0.39 % (6245)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.39 % (6247)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6244"
% 0.21/0.39 TRYING [4,2]
% 0.21/0.39 TRYING [4,2]
% 0.21/0.39 % (6247)Refutation found. Thanks to Tanya!
% 0.21/0.39 % SZS status Theorem for theBenchmark
% 0.21/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.39 % (6247)------------------------------
% 0.21/0.39 % (6247)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.39 % (6247)Termination reason: Refutation
% 0.21/0.39
% 0.21/0.39 % (6247)Memory used [KB]: 969
% 0.21/0.39 % (6247)Time elapsed: 0.006 s
% 0.21/0.39 % (6247)Instructions burned: 8 (million)
% 0.21/0.39 % (6244)Success in time 0.019 s
%------------------------------------------------------------------------------