TSTP Solution File: GEO170+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO170+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 : n032.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 11:14:24 EDT 2024
% Result : Theorem 0.14s 0.32s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 66 ( 13 unt; 0 def)
% Number of atoms : 168 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 159 ( 57 ~; 65 |; 21 &)
% ( 6 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 5 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 86 ( 77 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f372,plain,
$false,
inference(avatar_sat_refutation,[],[f333,f354,f359,f365,f371]) ).
fof(f371,plain,
~ spl3_6,
inference(avatar_contradiction_clause,[],[f370]) ).
fof(f370,plain,
( $false
| ~ spl3_6 ),
inference(subsumption_resolution,[],[f366,f97]) ).
fof(f97,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( ~ equal_lines(sK2,line_connecting(sK0,sK1))
& incident_point_and_line(sK1,sK2)
& incident_point_and_line(sK0,sK2)
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f54,f95]) ).
fof(f95,plain,
( ? [X0,X1,X2] :
( ~ equal_lines(X2,line_connecting(X0,X1))
& incident_point_and_line(X1,X2)
& incident_point_and_line(X0,X2)
& distinct_points(X0,X1) )
=> ( ~ equal_lines(sK2,line_connecting(sK0,sK1))
& incident_point_and_line(sK1,sK2)
& incident_point_and_line(sK0,sK2)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
? [X0,X1,X2] :
( ~ equal_lines(X2,line_connecting(X0,X1))
& incident_point_and_line(X1,X2)
& incident_point_and_line(X0,X2)
& distinct_points(X0,X1) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
? [X0,X1,X2] :
( ~ equal_lines(X2,line_connecting(X0,X1))
& incident_point_and_line(X1,X2)
& incident_point_and_line(X0,X2)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2] :
( ( incident_point_and_line(X1,X2)
& incident_point_and_line(X0,X2)
& distinct_points(X0,X1) )
=> equal_lines(X2,line_connecting(X0,X1)) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1,X2] :
( ( incident_point_and_line(X1,X2)
& incident_point_and_line(X0,X2)
& distinct_points(X0,X1) )
=> equal_lines(X2,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f366,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl3_6 ),
inference(resolution,[],[f307,f110]) ).
fof(f110,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci1) ).
fof(f307,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f305,plain,
( spl3_6
<=> apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f365,plain,
~ spl3_4,
inference(avatar_contradiction_clause,[],[f364]) ).
fof(f364,plain,
( $false
| ~ spl3_4 ),
inference(subsumption_resolution,[],[f360,f97]) ).
fof(f360,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl3_4 ),
inference(resolution,[],[f299,f111]) ).
fof(f111,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci2) ).
fof(f299,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f297,plain,
( spl3_4
<=> apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f359,plain,
~ spl3_5,
inference(avatar_contradiction_clause,[],[f358]) ).
fof(f358,plain,
( $false
| ~ spl3_5 ),
inference(subsumption_resolution,[],[f357,f98]) ).
fof(f98,plain,
incident_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f96]) ).
fof(f357,plain,
( ~ incident_point_and_line(sK0,sK2)
| ~ spl3_5 ),
inference(resolution,[],[f303,f119]) ).
fof(f119,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
=> ~ apart_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(f303,plain,
( apart_point_and_line(sK0,sK2)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f301,plain,
( spl3_5
<=> apart_point_and_line(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f354,plain,
~ spl3_3,
inference(avatar_contradiction_clause,[],[f353]) ).
fof(f353,plain,
( $false
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f352,f99]) ).
fof(f99,plain,
incident_point_and_line(sK1,sK2),
inference(cnf_transformation,[],[f96]) ).
fof(f352,plain,
( ~ incident_point_and_line(sK1,sK2)
| ~ spl3_3 ),
inference(resolution,[],[f295,f119]) ).
fof(f295,plain,
( apart_point_and_line(sK1,sK2)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f293,plain,
( spl3_3
<=> apart_point_and_line(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f333,plain,
( spl3_5
| spl3_6
| spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f284,f297,f293,f305,f301]) ).
fof(f284,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| apart_point_and_line(sK1,sK2)
| apart_point_and_line(sK0,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,sK2) ),
inference(resolution,[],[f259,f252]) ).
fof(f252,plain,
distinct_points(sK1,sK0),
inference(resolution,[],[f231,f101]) ).
fof(f101,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart1) ).
fof(f231,plain,
! [X0] :
( distinct_points(X0,sK1)
| distinct_points(X0,sK0) ),
inference(resolution,[],[f226,f101]) ).
fof(f226,plain,
! [X0,X1] :
( distinct_points(X0,sK1)
| distinct_points(sK0,X1)
| distinct_points(X0,X1) ),
inference(resolution,[],[f219,f122]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,X1)
| distinct_points(X0,X2)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f73]) ).
fof(f73,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/sandbox/benchmark/theBenchmark.p',apart4) ).
fof(f219,plain,
! [X0] :
( distinct_points(sK0,X0)
| distinct_points(X0,sK1) ),
inference(resolution,[],[f149,f101]) ).
fof(f149,plain,
! [X0,X1] :
( distinct_points(sK0,X0)
| distinct_points(sK1,X1)
| distinct_points(X0,X1) ),
inference(resolution,[],[f147,f122]) ).
fof(f147,plain,
! [X0] :
( distinct_points(sK1,X0)
| distinct_points(sK0,X0) ),
inference(resolution,[],[f122,f97]) ).
fof(f259,plain,
! [X0,X1] :
( ~ distinct_points(X1,X0)
| apart_point_and_line(X1,line_connecting(sK0,sK1))
| apart_point_and_line(X1,sK2)
| apart_point_and_line(X0,line_connecting(sK0,sK1))
| apart_point_and_line(X0,sK2) ),
inference(resolution,[],[f138,f140]) ).
fof(f140,plain,
distinct_lines(sK2,line_connecting(sK0,sK1)),
inference(resolution,[],[f118,f100]) ).
fof(f100,plain,
~ equal_lines(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f96]) ).
fof(f118,plain,
! [X0,X1] :
( equal_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( equal_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
=> equal_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(f138,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,[],[f94]) ).
fof(f94,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,[],[f93]) ).
fof(f93,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,[],[f50]) ).
fof(f50,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,[],[f11]) ).
fof(f11,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/sandbox/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : GEO170+3 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.09 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Tue Apr 30 05:56:51 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % (24297)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.30 % (24300)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.09/0.30 TRYING [1,1]
% 0.09/0.30 TRYING [2,2]
% 0.09/0.30 TRYING [3,2]
% 0.09/0.30 TRYING [4,2]
% 0.09/0.30 % (24299)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.09/0.30 TRYING [5,2]
% 0.09/0.30 TRYING [1]
% 0.09/0.31 TRYING [2]
% 0.09/0.31 TRYING [3]
% 0.09/0.31 TRYING [6,2]
% 0.09/0.31 TRYING [4]
% 0.09/0.31 % (24304)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.09/0.31 % (24301)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)
% 0.09/0.31 % (24303)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.09/0.31 TRYING [7,2]
% 0.09/0.31 % (24302)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.09/0.31 TRYING [1,1]
% 0.09/0.32 TRYING [2,2]
% 0.09/0.32 TRYING [5]
% 0.09/0.32 TRYING [3,2]
% 0.14/0.32 % (24306)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)
% 0.14/0.32 TRYING [4,2]
% 0.14/0.32 % (24304)First to succeed.
% 0.14/0.32 TRYING [8,2]
% 0.14/0.32 TRYING [1]
% 0.14/0.32 TRYING [2]
% 0.14/0.32 TRYING [3]
% 0.14/0.32 % (24304)Refutation found. Thanks to Tanya!
% 0.14/0.32 % SZS status Theorem for theBenchmark
% 0.14/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.32 % (24304)------------------------------
% 0.14/0.32 % (24304)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.32 % (24304)Termination reason: Refutation
% 0.14/0.32
% 0.14/0.32 % (24304)Memory used [KB]: 1020
% 0.14/0.32 % (24304)Time elapsed: 0.012 s
% 0.14/0.32 % (24304)Instructions burned: 15 (million)
% 0.14/0.32 % (24304)------------------------------
% 0.14/0.32 % (24304)------------------------------
% 0.14/0.32 % (24297)Success in time 0.021 s
%------------------------------------------------------------------------------