TSTP Solution File: GEO179+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO179+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 : n017.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 11:14:29 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 46 ( 7 unt; 0 def)
% Number of atoms : 123 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 126 ( 49 ~; 48 |; 17 &)
% ( 6 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 52 ( 43 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f133,plain,
$false,
inference(avatar_sat_refutation,[],[f67,f70,f82,f87,f104,f120,f132]) ).
fof(f132,plain,
~ spl3_6,
inference(avatar_contradiction_clause,[],[f131]) ).
fof(f131,plain,
( $false
| ~ spl3_6 ),
inference(resolution,[],[f125,f42]) ).
fof(f42,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(f125,plain,
( distinct_points(sK2,sK2)
| ~ spl3_6 ),
inference(resolution,[],[f103,f38]) ).
fof(f38,plain,
apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1))
| ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0)) )
& apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f17,f35]) ).
fof(f35,plain,
( ? [X0,X1,X2] :
( ( ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1))
| ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0)) )
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( ( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1))
| ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0)) )
& apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
? [X0,X1,X2] :
( ( ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1))
| ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0)) )
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(flattening,[],[f16]) ).
fof(f16,plain,
? [X0,X1,X2] :
( ( ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1))
| ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0)) )
& apart_point_and_line(X2,line_connecting(X0,X1))
& 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(X0,X1) )
=> ( distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1))
& distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0)) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X1,X2] :
( ( apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1))
& distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f103,plain,
( ! [X0] :
( ~ apart_point_and_line(X0,line_connecting(sK0,sK1))
| distinct_points(X0,sK2) )
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl3_6
<=> ! [X0] :
( distinct_points(X0,sK2)
| ~ apart_point_and_line(X0,line_connecting(sK0,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f120,plain,
( spl3_6
| ~ spl3_5
| spl3_4 ),
inference(avatar_split_clause,[],[f105,f79,f84,f102]) ).
fof(f84,plain,
( spl3_5
<=> distinct_points(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f79,plain,
( spl3_4
<=> distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f105,plain,
( ! [X0] :
( ~ distinct_points(sK2,sK1)
| distinct_points(X0,sK2)
| ~ apart_point_and_line(X0,line_connecting(sK0,sK1)) )
| spl3_4 ),
inference(resolution,[],[f81,f58]) ).
fof(f58,plain,
! [X2,X3,X0,X1] :
( distinct_lines(X3,line_connecting(X1,X2))
| ~ distinct_points(X1,X2)
| distinct_points(X0,X1)
| ~ apart_point_and_line(X0,X3) ),
inference(resolution,[],[f49,f51]) ).
fof(f51,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f29]) ).
fof(f29,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(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,[],[f28]) ).
fof(f28,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,[],[f27]) ).
fof(f27,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(f81,plain,
( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1))
| spl3_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f104,plain,
( spl3_6
| ~ spl3_2
| spl3_3 ),
inference(avatar_split_clause,[],[f98,f75,f64,f102]) ).
fof(f64,plain,
( spl3_2
<=> distinct_points(sK2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f75,plain,
( spl3_3
<=> distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f98,plain,
( ! [X0] :
( ~ distinct_points(sK2,sK0)
| distinct_points(X0,sK2)
| ~ apart_point_and_line(X0,line_connecting(sK0,sK1)) )
| spl3_3 ),
inference(resolution,[],[f58,f77]) ).
fof(f77,plain,
( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0))
| spl3_3 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f87,plain,
( ~ spl3_1
| spl3_5 ),
inference(avatar_split_clause,[],[f71,f84,f60]) ).
fof(f60,plain,
( spl3_1
<=> distinct_points(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f71,plain,
( distinct_points(sK2,sK1)
| ~ distinct_points(sK0,sK1) ),
inference(resolution,[],[f50,f38]) ).
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,[],[f28]) ).
fof(f82,plain,
( ~ spl3_3
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f39,f79,f75]) ).
fof(f39,plain,
( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1))
| ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f70,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f68]) ).
fof(f68,plain,
( $false
| spl3_1 ),
inference(resolution,[],[f62,f37]) ).
fof(f37,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f36]) ).
fof(f62,plain,
( ~ distinct_points(sK0,sK1)
| spl3_1 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f67,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f56,f64,f60]) ).
fof(f56,plain,
( distinct_points(sK2,sK0)
| ~ distinct_points(sK0,sK1) ),
inference(resolution,[],[f49,f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO179+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n017.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 : Tue Apr 30 05:14:34 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (26478)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (26480)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (26479)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (26482)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (26483)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (26484)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (26481)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)
% 0.14/0.37 % (26485)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 Detected minimum model sizes of [1,1,1,1]
% 0.14/0.37 Detected minimum model sizes of [1,1,1,1]
% 0.14/0.37 Detected maximum model sizes of [max,3,max,max]
% 0.14/0.38 Detected maximum model sizes of [max,3,max,max]
% 0.14/0.38 TRYING [1,1,1,1]
% 0.14/0.38 TRYING [1,1,1,1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2,2,1,1]
% 0.14/0.38 TRYING [2,2,1,1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (26481)First to succeed.
% 0.14/0.38 TRYING [3,2,1,1]
% 0.14/0.38 TRYING [3,2,1,1]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [4,2,1,1]
% 0.14/0.38 TRYING [4,2,1,1]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 % (26481)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (26481)------------------------------
% 0.14/0.38 % (26481)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (26481)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (26481)Memory used [KB]: 866
% 0.14/0.38 % (26481)Time elapsed: 0.006 s
% 0.14/0.38 % (26481)Instructions burned: 6 (million)
% 0.14/0.38 % (26481)------------------------------
% 0.14/0.38 % (26481)------------------------------
% 0.14/0.38 % (26478)Success in time 0.011 s
%------------------------------------------------------------------------------