TSTP Solution File: GEO225+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO225+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 : n029.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 11:14:52 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 7 unt; 0 def)
% Number of atoms : 110 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 112 ( 36 ~; 33 |; 32 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 52 ( 43 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f119,plain,
$false,
inference(avatar_sat_refutation,[],[f110,f115,f118]) ).
fof(f118,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f117]) ).
fof(f117,plain,
( $false
| ~ spl2_1 ),
inference(resolution,[],[f106,f61]) ).
fof(f61,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(f106,plain,
( distinct_points(sK0,sK0)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f104,plain,
( spl2_1
<=> distinct_points(sK0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f115,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[],[f111]) ).
fof(f111,plain,
( $false
| ~ spl2_2 ),
inference(resolution,[],[f109,f56]) ).
fof(f56,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( ! [X2] :
( ( apart_point_and_line(sK1,X2)
| apart_point_and_line(sK0,X2) )
& line(X2) )
& distinct_points(sK0,sK1)
& point(sK1)
& point(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f26,f52]) ).
fof(f52,plain,
( ? [X0,X1] :
( ! [X2] :
( ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2) )
& line(X2) )
& distinct_points(X0,X1)
& point(X1)
& point(X0) )
=> ( ! [X2] :
( ( apart_point_and_line(sK1,X2)
| apart_point_and_line(sK0,X2) )
& line(X2) )
& distinct_points(sK0,sK1)
& point(sK1)
& point(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
? [X0,X1] :
( ! [X2] :
( ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2) )
& line(X2) )
& distinct_points(X0,X1)
& point(X1)
& point(X0) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
? [X0,X1] :
( ! [X2] :
( ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2) )
& line(X2) )
& distinct_points(X0,X1)
& point(X1)
& point(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X0,X1] :
( ( distinct_points(X0,X1)
& point(X1)
& point(X0) )
=> ? [X2] :
( line(X2)
=> ( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2) ) ) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X5,X6] :
( ( distinct_points(X5,X6)
& point(X6)
& point(X5) )
=> ? [X0] :
( line(X0)
=> ( ~ apart_point_and_line(X6,X0)
& ~ apart_point_and_line(X5,X0) ) ) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X5,X6] :
( ( distinct_points(X5,X6)
& point(X6)
& point(X5) )
=> ? [X0] :
( line(X0)
=> ( ~ apart_point_and_line(X6,X0)
& ~ apart_point_and_line(X5,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f109,plain,
( ! [X0] : ~ distinct_points(sK0,X0)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl2_2
<=> ! [X0] : ~ distinct_points(sK0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f110,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f99,f108,f104]) ).
fof(f99,plain,
! [X0] :
( ~ distinct_points(sK0,X0)
| distinct_points(sK0,sK0) ),
inference(resolution,[],[f93,f83]) ).
fof(f83,plain,
! [X0,X1] :
( distinct_points(sK1,X0)
| ~ distinct_points(X0,X1)
| distinct_points(sK0,X0) ),
inference(duplicate_literal_removal,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| distinct_points(sK1,X0)
| distinct_points(sK0,X0)
| ~ distinct_points(X0,X1) ),
inference(resolution,[],[f79,f72]) ).
fof(f72,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X0)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,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,[],[f44]) ).
fof(f44,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(f79,plain,
! [X0,X1] :
( apart_point_and_line(sK0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1)
| distinct_points(sK1,X0) ),
inference(resolution,[],[f72,f58]) ).
fof(f58,plain,
! [X2] :
( apart_point_and_line(sK1,X2)
| apart_point_and_line(sK0,X2) ),
inference(cnf_transformation,[],[f53]) ).
fof(f93,plain,
~ distinct_points(sK1,sK0),
inference(resolution,[],[f92,f61]) ).
fof(f92,plain,
! [X0] :
( distinct_points(sK0,X0)
| ~ distinct_points(sK1,X0) ),
inference(resolution,[],[f88,f61]) ).
fof(f88,plain,
! [X0,X1] :
( distinct_points(sK1,X1)
| ~ distinct_points(X1,X0)
| distinct_points(sK0,X0) ),
inference(duplicate_literal_removal,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( distinct_points(sK0,X0)
| ~ distinct_points(X1,X0)
| ~ distinct_points(X1,X0)
| distinct_points(sK1,X1) ),
inference(resolution,[],[f73,f79]) ).
fof(f73,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X1)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO225+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
% 0.15/0.35 % Computer : n029.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 : Tue Apr 30 06:00:50 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (14051)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (14058)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)
% 0.15/0.37 % (14057)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (14054)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)
% 0.15/0.37 % (14055)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37 % (14056)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (14053)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 Detected minimum model sizes of [1,1,1,1]
% 0.15/0.37 Detected maximum model sizes of [max,2,max,max]
% 0.15/0.37 Detected minimum model sizes of [1,1,1,1]
% 0.15/0.37 Detected maximum model sizes of [max,2,max,max]
% 0.15/0.37 TRYING [1,1,1,1]
% 0.15/0.37 TRYING [1,1,1,1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [2,2,1,1]
% 0.15/0.37 TRYING [2,2,1,1]
% 0.15/0.37 % (14054)First to succeed.
% 0.15/0.38 TRYING [3,2,1,1]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 % (14052)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 TRYING [3,2,1,1]
% 0.15/0.38 TRYING [4,2,1,1]
% 0.15/0.38 TRYING [4,2,1,1]
% 0.15/0.38 % (14054)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Theorem for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (14054)------------------------------
% 0.15/0.38 % (14054)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (14054)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (14054)Memory used [KB]: 875
% 0.15/0.38 % (14054)Time elapsed: 0.004 s
% 0.15/0.38 % (14054)Instructions burned: 5 (million)
% 0.15/0.38 % (14054)------------------------------
% 0.15/0.38 % (14054)------------------------------
% 0.15/0.38 % (14051)Success in time 0.019 s
%------------------------------------------------------------------------------