TSTP Solution File: GEO237+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO237+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 : n019.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 11:14:56 EDT 2024
% Result : Theorem 0.15s 0.37s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 6 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 91 ( 34 ~; 24 |; 21 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 50 ( 38 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f190,plain,
$false,
inference(avatar_sat_refutation,[],[f184,f187,f189]) ).
fof(f189,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f188]) ).
fof(f188,plain,
( $false
| ~ spl4_1 ),
inference(resolution,[],[f179,f169]) ).
fof(f169,plain,
! [X0,X1] : ~ right_apart_point(X0,X1),
inference(resolution,[],[f136,f144]) ).
fof(f144,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( ~ left_apart_point(X0,reverse_line(X1))
& ~ left_apart_point(X0,X1) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
~ ( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X2,X3] :
~ ( left_apart_point(X2,reverse_line(X3))
| left_apart_point(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10_basics) ).
fof(f136,plain,
! [X0,X1] :
( left_apart_point(X0,reverse_line(X1))
| ~ right_apart_point(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( ( right_apart_point(X0,X1)
| ~ left_apart_point(X0,reverse_line(X1)) )
& ( left_apart_point(X0,reverse_line(X1))
| ~ right_apart_point(X0,X1) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( right_apart_point(X0,X1)
<=> left_apart_point(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_defns) ).
fof(f179,plain,
( right_apart_point(sK2,sK3)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f177,plain,
( spl4_1
<=> right_apart_point(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f187,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f186]) ).
fof(f186,plain,
( $false
| ~ spl4_2 ),
inference(resolution,[],[f183,f144]) ).
fof(f183,plain,
( left_apart_point(sK2,sK3)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f181,plain,
( spl4_2
<=> left_apart_point(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f184,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f172,f181,f177]) ).
fof(f172,plain,
( left_apart_point(sK2,sK3)
| right_apart_point(sK2,sK3) ),
inference(resolution,[],[f138,f115]) ).
fof(f115,plain,
apart_point_and_line(sK2,sK3),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( ~ divides_points(sK3,sK1,sK2)
& ~ divides_points(sK3,sK0,sK2)
& divides_points(sK3,sK0,sK1)
& apart_point_and_line(sK2,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f73,f108]) ).
fof(f108,plain,
( ? [X0,X1,X2,X3] :
( ~ divides_points(X3,X1,X2)
& ~ divides_points(X3,X0,X2)
& divides_points(X3,X0,X1)
& apart_point_and_line(X2,X3) )
=> ( ~ divides_points(sK3,sK1,sK2)
& ~ divides_points(sK3,sK0,sK2)
& divides_points(sK3,sK0,sK1)
& apart_point_and_line(sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
? [X0,X1,X2,X3] :
( ~ divides_points(X3,X1,X2)
& ~ divides_points(X3,X0,X2)
& divides_points(X3,X0,X1)
& apart_point_and_line(X2,X3) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
? [X0,X1,X2,X3] :
( ~ divides_points(X3,X1,X2)
& ~ divides_points(X3,X0,X2)
& divides_points(X3,X0,X1)
& apart_point_and_line(X2,X3) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
~ ! [X0,X1,X2,X3] :
( apart_point_and_line(X2,X3)
=> ( divides_points(X3,X0,X1)
=> ( divides_points(X3,X1,X2)
| divides_points(X3,X0,X2) ) ) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X2,X5,X6,X3] :
( apart_point_and_line(X6,X3)
=> ( divides_points(X3,X2,X5)
=> ( divides_points(X3,X5,X6)
| divides_points(X3,X2,X6) ) ) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X2,X5,X6,X3] :
( apart_point_and_line(X6,X3)
=> ( divides_points(X3,X2,X5)
=> ( divides_points(X3,X5,X6)
| divides_points(X3,X2,X6) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f138,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
| left_apart_point(X0,X1)
| right_apart_point(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( ( apart_point_and_line(X0,X1)
| ( ~ right_apart_point(X0,X1)
& ~ left_apart_point(X0,X1) ) )
& ( right_apart_point(X0,X1)
| left_apart_point(X0,X1)
| ~ apart_point_and_line(X0,X1) ) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( ( apart_point_and_line(X0,X1)
| ( ~ right_apart_point(X0,X1)
& ~ left_apart_point(X0,X1) ) )
& ( right_apart_point(X0,X1)
| left_apart_point(X0,X1)
| ~ apart_point_and_line(X0,X1) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( apart_point_and_line(X0,X1)
<=> ( right_apart_point(X0,X1)
| left_apart_point(X0,X1) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2,X3] :
( apart_point_and_line(X2,X3)
<=> ( right_apart_point(X2,X3)
| left_apart_point(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_defns) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO237+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n019.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 05:49:44 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (11043)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (11046)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 % (11046)First to succeed.
% 0.15/0.37 % (11044)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (11045)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (11047)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 % (11048)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (11049)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (11046)Refutation found. Thanks to Tanya!
% 0.15/0.37 % SZS status Theorem for theBenchmark
% 0.15/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.37 % (11046)------------------------------
% 0.15/0.37 % (11046)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.37 % (11046)Termination reason: Refutation
% 0.15/0.37
% 0.15/0.37 % (11046)Memory used [KB]: 882
% 0.15/0.37 % (11046)Time elapsed: 0.005 s
% 0.15/0.37 % (11046)Instructions burned: 6 (million)
% 0.15/0.37 % (11046)------------------------------
% 0.15/0.37 % (11046)------------------------------
% 0.15/0.37 % (11043)Success in time 0.007 s
%------------------------------------------------------------------------------