TSTP Solution File: GEO188+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO188+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Sun May 5 05:15:57 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 70 ( 10 unt; 0 def)
% Number of atoms : 211 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 214 ( 73 ~; 95 |; 31 &)
% ( 6 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 84 ( 75 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f435,plain,
$false,
inference(avatar_sat_refutation,[],[f84,f252,f262,f349,f356,f385,f434]) ).
fof(f434,plain,
( ~ spl3_1
| ~ spl3_4 ),
inference(avatar_contradiction_clause,[],[f433]) ).
fof(f433,plain,
( $false
| ~ spl3_1
| ~ spl3_4 ),
inference(subsumption_resolution,[],[f432,f75]) ).
fof(f75,plain,
( distinct_points(sK2,sK1)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f74,plain,
( spl3_1
<=> distinct_points(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f432,plain,
( ~ distinct_points(sK2,sK1)
| ~ spl3_4 ),
inference(subsumption_resolution,[],[f429,f44]) ).
fof(f44,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart1) ).
fof(f429,plain,
( distinct_points(sK2,sK2)
| ~ distinct_points(sK2,sK1)
| ~ spl3_4 ),
inference(resolution,[],[f215,f53]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X0)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ( distinct_points(X2,X1)
& distinct_points(X2,X0) )
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ( distinct_points(X2,X1)
& distinct_points(X2,X0) )
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> ( distinct_points(X2,X1)
& distinct_points(X2,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con1) ).
fof(f215,plain,
( apart_point_and_line(sK2,line_connecting(sK2,sK1))
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f213,plain,
( spl3_4
<=> apart_point_and_line(sK2,line_connecting(sK2,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f385,plain,
~ spl3_16,
inference(avatar_contradiction_clause,[],[f384]) ).
fof(f384,plain,
( $false
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f383,f37]) ).
fof(f37,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( apart_point_and_line(sK0,line_connecting(sK2,sK1))
& ~ apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK1,sK2)
& distinct_points(sK0,sK2)
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f17,f35]) ).
fof(f35,plain,
( ? [X0,X1,X2] :
( apart_point_and_line(X0,line_connecting(X2,X1))
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X1,X2)
& distinct_points(X0,X2)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(sK0,line_connecting(sK2,sK1))
& ~ apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK1,sK2)
& distinct_points(sK0,sK2)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
? [X0,X1,X2] :
( apart_point_and_line(X0,line_connecting(X2,X1))
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X1,X2)
& distinct_points(X0,X2)
& distinct_points(X0,X1) ),
inference(flattening,[],[f16]) ).
fof(f16,plain,
? [X0,X1,X2] :
( apart_point_and_line(X0,line_connecting(X2,X1))
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X1,X2)
& distinct_points(X0,X2)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X1,X2)
& distinct_points(X0,X2)
& distinct_points(X0,X1) )
=> ~ apart_point_and_line(X0,line_connecting(X2,X1)) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X1,X2] :
( ( ~ apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X1,X2)
& distinct_points(X0,X2)
& distinct_points(X0,X1) )
=> ~ apart_point_and_line(X0,line_connecting(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f383,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f380,f44]) ).
fof(f380,plain,
( distinct_points(sK0,sK0)
| ~ distinct_points(sK0,sK1)
| ~ spl3_16 ),
inference(resolution,[],[f348,f53]) ).
fof(f348,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f346,plain,
( spl3_16
<=> apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f356,plain,
~ spl3_15,
inference(avatar_contradiction_clause,[],[f355]) ).
fof(f355,plain,
( $false
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f354,f37]) ).
fof(f354,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f350,f44]) ).
fof(f350,plain,
( distinct_points(sK1,sK1)
| ~ distinct_points(sK0,sK1)
| ~ spl3_15 ),
inference(resolution,[],[f344,f54]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X1)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f344,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f342,plain,
( spl3_15
<=> apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f349,plain,
( spl3_15
| spl3_16
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f336,f236,f346,f342]) ).
fof(f236,plain,
( spl3_10
<=> ! [X0] :
( apart_point_and_line(sK1,X0)
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sK2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f336,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ spl3_10 ),
inference(resolution,[],[f237,f40]) ).
fof(f40,plain,
~ apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f36]) ).
fof(f237,plain,
( ! [X0] :
( apart_point_and_line(sK2,X0)
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sK1,X0) )
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f262,plain,
( ~ spl3_1
| ~ spl3_9 ),
inference(avatar_contradiction_clause,[],[f261]) ).
fof(f261,plain,
( $false
| ~ spl3_1
| ~ spl3_9 ),
inference(subsumption_resolution,[],[f260,f75]) ).
fof(f260,plain,
( ~ distinct_points(sK2,sK1)
| ~ spl3_9 ),
inference(subsumption_resolution,[],[f256,f44]) ).
fof(f256,plain,
( distinct_points(sK1,sK1)
| ~ distinct_points(sK2,sK1)
| ~ spl3_9 ),
inference(resolution,[],[f234,f54]) ).
fof(f234,plain,
( apart_point_and_line(sK1,line_connecting(sK2,sK1))
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f232,plain,
( spl3_9
<=> apart_point_and_line(sK1,line_connecting(sK2,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f252,plain,
( spl3_9
| spl3_4
| spl3_10
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f201,f74,f236,f213,f232]) ).
fof(f201,plain,
( ! [X0] :
( apart_point_and_line(sK2,X0)
| apart_point_and_line(sK2,line_connecting(sK2,sK1))
| apart_point_and_line(sK1,X0)
| apart_point_and_line(sK1,line_connecting(sK2,sK1))
| apart_point_and_line(sK0,X0) )
| ~ spl3_1 ),
inference(resolution,[],[f92,f75]) ).
fof(f92,plain,
! [X2,X0,X1] :
( ~ distinct_points(X1,X0)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,line_connecting(sK2,sK1))
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,line_connecting(sK2,sK1))
| apart_point_and_line(sK0,X2) ),
inference(resolution,[],[f55,f56]) ).
fof(f56,plain,
! [X0] :
( distinct_lines(line_connecting(sK2,sK1),X0)
| apart_point_and_line(sK0,X0) ),
inference(resolution,[],[f50,f41]) ).
fof(f41,plain,
apart_point_and_line(sK0,line_connecting(sK2,sK1)),
inference(cnf_transformation,[],[f36]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,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(f55,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1,X2,X3] :
( ( distinct_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X3,X4] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f84,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f83]) ).
fof(f83,plain,
( $false
| spl3_1 ),
inference(subsumption_resolution,[],[f81,f44]) ).
fof(f81,plain,
( distinct_points(sK1,sK1)
| spl3_1 ),
inference(resolution,[],[f76,f62]) ).
fof(f62,plain,
! [X0] :
( distinct_points(sK2,X0)
| distinct_points(sK1,X0) ),
inference(resolution,[],[f52,f39]) ).
fof(f39,plain,
distinct_points(sK1,sK2),
inference(cnf_transformation,[],[f36]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,X1)
| distinct_points(X0,X2)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( distinct_points(X1,X2)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart4) ).
fof(f76,plain,
( ~ distinct_points(sK2,sK1)
| spl3_1 ),
inference(avatar_component_clause,[],[f74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO188+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 22:04:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (31892)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (31894)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [4]
% 0.14/0.37 TRYING [5]
% 0.14/0.38 TRYING [6]
% 0.14/0.38 % (31896)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)
% 0.14/0.38 % (31898)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (31899)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (31895)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (31900)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)
% 0.14/0.38 % (31897)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 Detected minimum model sizes of [1,1,1,1]
% 0.14/0.38 Detected maximum model sizes of [max,3,max,max]
% 0.14/0.38 Detected minimum model sizes of [1,1,1,1]
% 0.14/0.38 Detected maximum model sizes of [max,3,max,max]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1,1,1,1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1,1,1,1]
% 0.14/0.38 TRYING [2,2,1,1]
% 0.14/0.38 TRYING [2,2,1,1]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3,3,1,1]
% 0.14/0.38 TRYING [3,3,1,1]
% 0.14/0.38 TRYING [4,3,1,1]
% 0.14/0.38 TRYING [4,3,1,1]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [5,3,1,1]
% 0.14/0.38 TRYING [7]
% 0.14/0.38 TRYING [5,3,1,1]
% 0.14/0.38 TRYING [6,3,1,1]
% 0.14/0.38 TRYING [6,3,1,1]
% 0.14/0.38 TRYING [5]
% 0.14/0.38 % (31899)First to succeed.
% 0.14/0.39 TRYING [7,3,1,1]
% 0.14/0.39 % (31899)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31892"
% 0.14/0.39 TRYING [7,3,1,1]
% 0.14/0.39 % (31899)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (31899)------------------------------
% 0.14/0.39 % (31899)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (31899)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (31899)Memory used [KB]: 914
% 0.14/0.39 % (31899)Time elapsed: 0.012 s
% 0.14/0.39 % (31899)Instructions burned: 19 (million)
% 0.14/0.39 % (31892)Success in time 0.029 s
%------------------------------------------------------------------------------