TSTP Solution File: GEO200+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO200+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 : 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 11:14:40 EDT 2024
% Result : Theorem 0.21s 0.40s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 57 ( 10 unt; 0 def)
% Number of atoms : 151 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 145 ( 51 ~; 73 |; 9 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 66 ( 62 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f212,plain,
$false,
inference(avatar_sat_refutation,[],[f161,f184,f193,f202,f211]) ).
fof(f211,plain,
~ spl2_4,
inference(avatar_contradiction_clause,[],[f210]) ).
fof(f210,plain,
( $false
| ~ spl2_4 ),
inference(subsumption_resolution,[],[f209,f78]) ).
fof(f78,plain,
distinct_points(sK1,sK0),
inference(resolution,[],[f70,f40]) ).
fof(f40,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(f70,plain,
! [X0] :
( distinct_points(X0,sK1)
| distinct_points(X0,sK0) ),
inference(resolution,[],[f65,f40]) ).
fof(f65,plain,
! [X0,X1] :
( distinct_points(X0,sK1)
| distinct_points(sK0,X1)
| distinct_points(X0,X1) ),
inference(resolution,[],[f58,f48]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,X1)
| distinct_points(X0,X2)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f28]) ).
fof(f28,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(f58,plain,
! [X0] :
( distinct_points(sK0,X0)
| distinct_points(X0,sK1) ),
inference(resolution,[],[f55,f40]) ).
fof(f55,plain,
! [X0,X1] :
( distinct_points(sK0,X0)
| distinct_points(sK1,X1)
| distinct_points(X0,X1) ),
inference(resolution,[],[f53,f48]) ).
fof(f53,plain,
! [X0] :
( distinct_points(sK1,X0)
| distinct_points(sK0,X0) ),
inference(resolution,[],[f48,f36]) ).
fof(f36,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( distinct_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0))
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f16,f34]) ).
fof(f34,plain,
( ? [X0,X1] :
( distinct_lines(line_connecting(X0,X1),line_connecting(X1,X0))
& distinct_points(X0,X1) )
=> ( distinct_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0))
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
? [X0,X1] :
( distinct_lines(line_connecting(X0,X1),line_connecting(X1,X0))
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X1] :
( distinct_points(X0,X1)
=> ~ distinct_lines(line_connecting(X0,X1),line_connecting(X1,X0)) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ distinct_lines(line_connecting(X0,X1),line_connecting(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f209,plain,
( ~ distinct_points(sK1,sK0)
| ~ spl2_4 ),
inference(subsumption_resolution,[],[f203,f40]) ).
fof(f203,plain,
( distinct_points(sK0,sK0)
| ~ distinct_points(sK1,sK0)
| ~ spl2_4 ),
inference(resolution,[],[f131,f50]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X1)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[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(flattening,[],[f30]) ).
fof(f30,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(f131,plain,
( apart_point_and_line(sK0,line_connecting(sK1,sK0))
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl2_4
<=> apart_point_and_line(sK0,line_connecting(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f202,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f201]) ).
fof(f201,plain,
( $false
| ~ spl2_1 ),
inference(subsumption_resolution,[],[f200,f36]) ).
fof(f200,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl2_1 ),
inference(subsumption_resolution,[],[f194,f40]) ).
fof(f194,plain,
( distinct_points(sK1,sK1)
| ~ distinct_points(sK0,sK1)
| ~ spl2_1 ),
inference(resolution,[],[f119,f50]) ).
fof(f119,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f117,plain,
( spl2_1
<=> apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f193,plain,
~ spl2_3,
inference(avatar_contradiction_clause,[],[f192]) ).
fof(f192,plain,
( $false
| ~ spl2_3 ),
inference(subsumption_resolution,[],[f191,f36]) ).
fof(f191,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl2_3 ),
inference(subsumption_resolution,[],[f186,f40]) ).
fof(f186,plain,
( distinct_points(sK0,sK0)
| ~ distinct_points(sK0,sK1)
| ~ spl2_3 ),
inference(resolution,[],[f127,f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X0)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f127,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl2_3
<=> apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f184,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[],[f183]) ).
fof(f183,plain,
( $false
| ~ spl2_2 ),
inference(subsumption_resolution,[],[f182,f78]) ).
fof(f182,plain,
( ~ distinct_points(sK1,sK0)
| ~ spl2_2 ),
inference(subsumption_resolution,[],[f177,f40]) ).
fof(f177,plain,
( distinct_points(sK1,sK1)
| ~ distinct_points(sK1,sK0)
| ~ spl2_2 ),
inference(resolution,[],[f123,f49]) ).
fof(f123,plain,
( apart_point_and_line(sK1,line_connecting(sK1,sK0))
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f121,plain,
( spl2_2
<=> apart_point_and_line(sK1,line_connecting(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f161,plain,
( spl2_3
| spl2_4
| spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f107,f121,f117,f129,f125]) ).
fof(f107,plain,
( apart_point_and_line(sK1,line_connecting(sK1,sK0))
| apart_point_and_line(sK1,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,line_connecting(sK1,sK0))
| apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
inference(resolution,[],[f81,f78]) ).
fof(f81,plain,
! [X0,X1] :
( ~ distinct_points(X1,X0)
| apart_point_and_line(X1,line_connecting(sK1,sK0))
| apart_point_and_line(X1,line_connecting(sK0,sK1))
| apart_point_and_line(X0,line_connecting(sK1,sK0))
| apart_point_and_line(X0,line_connecting(sK0,sK1)) ),
inference(resolution,[],[f51,f37]) ).
fof(f37,plain,
distinct_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0)),
inference(cnf_transformation,[],[f35]) ).
fof(f51,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,[],[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(flattening,[],[f32]) ).
fof(f32,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO200+2 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n008.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
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 05:48:43 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (17463)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (17464)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 TRYING [4]
% 0.21/0.39 TRYING [5]
% 0.21/0.39 % (17467)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.39 % (17465)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.39 % (17468)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.39 % (17466)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)
% 0.21/0.39 % (17469)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.39 % (17470)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 Detected minimum model sizes of [1,1,1,1]
% 0.21/0.39 Detected maximum model sizes of [max,2,max,max]
% 0.21/0.39 Detected minimum model sizes of [1,1,1,1]
% 0.21/0.39 Detected maximum model sizes of [max,2,max,max]
% 0.21/0.39 TRYING [1,1,1,1]
% 0.21/0.39 TRYING [1,1,1,1]
% 0.21/0.39 TRYING [2,2,1,1]
% 0.21/0.39 TRYING [2,2,1,1]
% 0.21/0.39 TRYING [3,2,1,1]
% 0.21/0.39 TRYING [3,2,1,1]
% 0.21/0.39 TRYING [1]
% 0.21/0.39 TRYING [2]
% 0.21/0.39 TRYING [4,2,1,1]
% 0.21/0.39 TRYING [4,2,1,1]
% 0.21/0.39 TRYING [3]
% 0.21/0.39 TRYING [6]
% 0.21/0.39 TRYING [5,2,1,1]
% 0.21/0.39 TRYING [5,2,1,1]
% 0.21/0.40 TRYING [6,2,1,1]
% 0.21/0.40 TRYING [6,2,1,1]
% 0.21/0.40 % (17469)First to succeed.
% 0.21/0.40 TRYING [4]
% 0.21/0.40 % (17466)Also succeeded, but the first one will report.
% 0.21/0.40 TRYING [7,2,1,1]
% 0.21/0.40 TRYING [7,2,1,1]
% 0.21/0.40 % (17469)Refutation found. Thanks to Tanya!
% 0.21/0.40 % SZS status Theorem for theBenchmark
% 0.21/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.40 % (17469)------------------------------
% 0.21/0.40 % (17469)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.40 % (17469)Termination reason: Refutation
% 0.21/0.40
% 0.21/0.40 % (17469)Memory used [KB]: 874
% 0.21/0.40 % (17469)Time elapsed: 0.011 s
% 0.21/0.40 % (17469)Instructions burned: 9 (million)
% 0.21/0.40 % (17469)------------------------------
% 0.21/0.40 % (17469)------------------------------
% 0.21/0.40 % (17463)Success in time 0.039 s
%------------------------------------------------------------------------------