TSTP Solution File: GEO183+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO183+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 : n024.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 11:14:31 EDT 2024
% Result : Theorem 0.11s 0.36s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 47 ( 6 unt; 0 def)
% Number of atoms : 138 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 152 ( 61 ~; 52 |; 27 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 67 ( 55 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f171,plain,
$false,
inference(avatar_sat_refutation,[],[f64,f122,f130,f157,f168,f170]) ).
fof(f170,plain,
( ~ spl4_1
| ~ spl4_3 ),
inference(avatar_contradiction_clause,[],[f169]) ).
fof(f169,plain,
( $false
| ~ spl4_1
| ~ spl4_3 ),
inference(resolution,[],[f59,f131]) ).
fof(f131,plain,
( ~ apart_point_and_line(sK0,sK2)
| ~ spl4_3 ),
inference(resolution,[],[f117,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(f117,plain,
( ! [X0] :
( distinct_points(X0,sK0)
| ~ apart_point_and_line(X0,sK2) )
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f116,plain,
( spl4_3
<=> ! [X0] :
( distinct_points(X0,sK0)
| ~ apart_point_and_line(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f59,plain,
( apart_point_and_line(sK0,sK2)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f57,plain,
( spl4_1
<=> apart_point_and_line(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f168,plain,
( ~ spl4_2
| ~ spl4_5 ),
inference(avatar_contradiction_clause,[],[f164]) ).
fof(f164,plain,
( $false
| ~ spl4_2
| ~ spl4_5 ),
inference(resolution,[],[f158,f63]) ).
fof(f63,plain,
( apart_point_and_line(sK1,sK2)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f61,plain,
( spl4_2
<=> apart_point_and_line(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f158,plain,
( ~ apart_point_and_line(sK1,sK2)
| ~ spl4_5 ),
inference(resolution,[],[f156,f44]) ).
fof(f156,plain,
( ! [X0] :
( distinct_points(X0,sK1)
| ~ apart_point_and_line(X0,sK2) )
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f155,plain,
( spl4_5
<=> ! [X0] :
( distinct_points(X0,sK1)
| ~ apart_point_and_line(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f157,plain,
( spl4_5
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f125,f119,f155]) ).
fof(f119,plain,
( spl4_4
<=> distinct_points(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f125,plain,
! [X0] :
( ~ distinct_points(sK0,sK1)
| distinct_points(X0,sK1)
| ~ apart_point_and_line(X0,sK2) ),
inference(resolution,[],[f90,f40]) ).
fof(f40,plain,
~ distinct_lines(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( apart_point_and_line(sK1,sK2)
| apart_point_and_line(sK0,sK2) )
& ~ distinct_lines(sK2,line_connecting(sK0,sK1))
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f18,f36]) ).
fof(f36,plain,
( ? [X0,X1,X2,X3] :
( ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2) )
& ~ distinct_lines(X2,line_connecting(X0,X1))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( ( apart_point_and_line(sK1,sK2)
| apart_point_and_line(sK0,sK2) )
& ~ distinct_lines(sK2,line_connecting(sK0,sK1))
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
? [X0,X1,X2,X3] :
( ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2) )
& ~ distinct_lines(X2,line_connecting(X0,X1))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(flattening,[],[f17]) ).
fof(f17,plain,
? [X0,X1,X2,X3] :
( ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2) )
& ~ distinct_lines(X2,line_connecting(X0,X1))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X0,X1,X2,X3] :
( ( ~ distinct_lines(X2,line_connecting(X0,X1))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( ~ distinct_lines(X3,line_connecting(X0,X1))
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(X1,X3)
& ~ apart_point_and_line(X0,X3) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X1,X3,X4] :
( ( ~ distinct_lines(X3,line_connecting(X0,X1))
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(X1,X3)
& ~ apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f90,plain,
! [X2,X3,X0,X1] :
( distinct_lines(X3,line_connecting(X2,X1))
| ~ distinct_points(X2,X1)
| distinct_points(X0,X1)
| ~ apart_point_and_line(X0,X3) ),
inference(resolution,[],[f52,f53]) ).
fof(f53,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f30]) ).
fof(f30,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(f52,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X1)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,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,[],[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(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(f130,plain,
spl4_4,
inference(avatar_contradiction_clause,[],[f126]) ).
fof(f126,plain,
( $false
| spl4_4 ),
inference(resolution,[],[f121,f38]) ).
fof(f38,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f37]) ).
fof(f121,plain,
( ~ distinct_points(sK0,sK1)
| spl4_4 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f122,plain,
( spl4_3
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f109,f119,f116]) ).
fof(f109,plain,
! [X0] :
( ~ distinct_points(sK0,sK1)
| distinct_points(X0,sK0)
| ~ apart_point_and_line(X0,sK2) ),
inference(resolution,[],[f86,f40]) ).
fof(f86,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,[],[f51,f53]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X0)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f64,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f41,f61,f57]) ).
fof(f41,plain,
( apart_point_and_line(sK1,sK2)
| apart_point_and_line(sK0,sK2) ),
inference(cnf_transformation,[],[f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GEO183+2 : TPTP v8.1.2. Released v3.3.0.
% 0.02/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n024.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Apr 30 05:45:06 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.11/0.34 % (20378)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35 % (20385)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)
% 0.11/0.35 % (20384)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.35 TRYING [1]
% 0.11/0.35 % (20382)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.35 % (20381)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)
% 0.11/0.35 % (20380)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.35 TRYING [2]
% 0.11/0.35 % (20383)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.36 TRYING [3]
% 0.11/0.36 TRYING [1,1]
% 0.11/0.36 TRYING [1,1]
% 0.11/0.36 TRYING [2,2]
% 0.11/0.36 TRYING [2,2]
% 0.11/0.36 TRYING [3,2]
% 0.11/0.36 TRYING [3,2]
% 0.11/0.36 TRYING [4]
% 0.11/0.36 % (20379)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.36 TRYING [4,2]
% 0.11/0.36 TRYING [4,2]
% 0.11/0.36 % (20381)First to succeed.
% 0.11/0.36 TRYING [1]
% 0.11/0.36 TRYING [5,2]
% 0.11/0.36 TRYING [5,2]
% 0.11/0.36 % (20384)Also succeeded, but the first one will report.
% 0.11/0.36 TRYING [2]
% 0.11/0.36 TRYING [5]
% 0.11/0.36 TRYING [3]
% 0.11/0.36 % (20381)Refutation found. Thanks to Tanya!
% 0.11/0.36 % SZS status Theorem for theBenchmark
% 0.11/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.36 % (20381)------------------------------
% 0.11/0.36 % (20381)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.36 % (20381)Termination reason: Refutation
% 0.11/0.36
% 0.11/0.36 % (20381)Memory used [KB]: 873
% 0.11/0.36 % (20381)Time elapsed: 0.006 s
% 0.11/0.36 % (20381)Instructions burned: 8 (million)
% 0.11/0.36 % (20381)------------------------------
% 0.11/0.36 % (20381)------------------------------
% 0.11/0.36 % (20378)Success in time 0.02 s
%------------------------------------------------------------------------------