TSTP Solution File: GEO183+3 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO183+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 : n025.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 05:15:55 EDT 2024
% Result : Theorem 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 59 ( 16 unt; 0 def)
% Number of atoms : 140 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 133 ( 52 ~; 43 |; 24 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 104 ( 92 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f315,plain,
$false,
inference(avatar_sat_refutation,[],[f150,f305,f314]) ).
fof(f314,plain,
spl5_2,
inference(avatar_contradiction_clause,[],[f311]) ).
fof(f311,plain,
( $false
| spl5_2 ),
inference(resolution,[],[f310,f287]) ).
fof(f287,plain,
! [X0] : ~ apart_point_and_line(X0,sK2),
inference(resolution,[],[f171,f205]) ).
fof(f205,plain,
! [X0] : ~ distinct_lines(sK2,parallel_through_point(line_connecting(sK0,sK1),X0)),
inference(resolution,[],[f188,f110]) ).
fof(f110,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/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f188,plain,
! [X0] : ~ convergent_lines(sK2,parallel_through_point(line_connecting(sK0,sK1),X0)),
inference(resolution,[],[f181,f162]) ).
fof(f162,plain,
! [X0] : ~ distinct_lines(parallel_through_point(line_connecting(sK0,sK1),X0),sK2),
inference(resolution,[],[f158,f153]) ).
fof(f153,plain,
! [X0,X1] : ~ distinct_lines(parallel_through_point(X0,X1),X0),
inference(resolution,[],[f110,f108]) ).
fof(f108,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(f158,plain,
! [X0] :
( distinct_lines(X0,line_connecting(sK0,sK1))
| ~ distinct_lines(X0,sK2) ),
inference(resolution,[],[f122,f155]) ).
fof(f155,plain,
~ distinct_lines(sK2,line_connecting(sK0,sK1)),
inference(resolution,[],[f120,f100]) ).
fof(f100,plain,
equal_lines(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ( ~ incident_point_and_line(sK1,sK2)
| ~ incident_point_and_line(sK0,sK2) )
& equal_lines(sK2,line_connecting(sK0,sK1))
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f55,f96]) ).
fof(f96,plain,
( ? [X0,X1,X2,X3] :
( ( ~ incident_point_and_line(X1,X2)
| ~ incident_point_and_line(X0,X2) )
& equal_lines(X2,line_connecting(X0,X1))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( ( ~ incident_point_and_line(sK1,sK2)
| ~ incident_point_and_line(sK0,sK2) )
& equal_lines(sK2,line_connecting(sK0,sK1))
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
? [X0,X1,X2,X3] :
( ( ~ incident_point_and_line(X1,X2)
| ~ incident_point_and_line(X0,X2) )
& equal_lines(X2,line_connecting(X0,X1))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
? [X0,X1,X2,X3] :
( ( ~ incident_point_and_line(X1,X2)
| ~ incident_point_and_line(X0,X2) )
& equal_lines(X2,line_connecting(X0,X1))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X0,X1,X2,X3] :
( ( equal_lines(X2,line_connecting(X0,X1))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( incident_point_and_line(X1,X2)
& incident_point_and_line(X0,X2) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( equal_lines(X3,line_connecting(X0,X1))
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( incident_point_and_line(X1,X3)
& incident_point_and_line(X0,X3) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1,X3,X4] :
( ( equal_lines(X3,line_connecting(X0,X1))
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( incident_point_and_line(X1,X3)
& incident_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f120,plain,
! [X0,X1] :
( ~ equal_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| ~ equal_lines(X0,X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( equal_lines(X0,X1)
=> ~ distinct_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( equal_lines(X0,X1)
<=> ~ distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f122,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart5) ).
fof(f181,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X1,X0) ),
inference(resolution,[],[f127,f104]) ).
fof(f104,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(f127,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f82]) ).
fof(f82,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(f171,plain,
! [X2,X0,X1] :
( distinct_lines(X0,parallel_through_point(X1,X2))
| ~ apart_point_and_line(X2,X0) ),
inference(resolution,[],[f126,f106]) ).
fof(f106,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(f126,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f80]) ).
fof(f80,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(f310,plain,
( apart_point_and_line(sK1,sK2)
| spl5_2 ),
inference(resolution,[],[f149,f119]) ).
fof(f119,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
=> incident_point_and_line(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( incident_point_and_line(X0,X1)
<=> ~ apart_point_and_line(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4) ).
fof(f149,plain,
( ~ incident_point_and_line(sK1,sK2)
| spl5_2 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl5_2
<=> incident_point_and_line(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f305,plain,
spl5_1,
inference(avatar_contradiction_clause,[],[f300]) ).
fof(f300,plain,
( $false
| spl5_1 ),
inference(resolution,[],[f287,f154]) ).
fof(f154,plain,
( apart_point_and_line(sK0,sK2)
| spl5_1 ),
inference(resolution,[],[f119,f145]) ).
fof(f145,plain,
( ~ incident_point_and_line(sK0,sK2)
| spl5_1 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f143,plain,
( spl5_1
<=> incident_point_and_line(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f150,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f101,f147,f143]) ).
fof(f101,plain,
( ~ incident_point_and_line(sK1,sK2)
| ~ incident_point_and_line(sK0,sK2) ),
inference(cnf_transformation,[],[f97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO183+3 : TPTP v8.1.2. Released v4.0.0.
% 0.15/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n025.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 22:04:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (27037)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (27043)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.37 % (27038)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.37 % (27040)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)
% 0.21/0.37 % (27041)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.37 % (27044)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)
% 0.21/0.37 % (27042)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.37 % (27039)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.37 TRYING [1]
% 0.21/0.37 TRYING [2]
% 0.21/0.37 TRYING [1]
% 0.21/0.37 TRYING [2]
% 0.21/0.37 TRYING [3]
% 0.21/0.37 TRYING [1,1]
% 0.21/0.37 TRYING [1,1]
% 0.21/0.37 TRYING [2,2]
% 0.21/0.37 TRYING [2,2]
% 0.21/0.37 TRYING [3]
% 0.21/0.38 TRYING [3,2]
% 0.21/0.38 TRYING [3,2]
% 0.21/0.38 TRYING [4]
% 0.21/0.38 % (27040)First to succeed.
% 0.21/0.38 TRYING [4,2]
% 0.21/0.38 TRYING [4,2]
% 0.21/0.38 TRYING [4]
% 0.21/0.38 % (27040)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27037"
% 0.21/0.38 % (27040)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Theorem for theBenchmark
% 0.21/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38 % (27040)------------------------------
% 0.21/0.38 % (27040)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38 % (27040)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (27040)Memory used [KB]: 994
% 0.21/0.38 % (27040)Time elapsed: 0.009 s
% 0.21/0.38 % (27040)Instructions burned: 10 (million)
% 0.21/0.38 % (27037)Success in time 0.026 s
%------------------------------------------------------------------------------