TSTP Solution File: GEO185+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO185+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n016.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 : Mon May 20 20:15:03 EDT 2024
% Result : Theorem 0.18s 0.41s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 47 ( 13 unt; 0 def)
% Number of atoms : 115 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 108 ( 40 ~; 33 |; 24 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 85 ( 73 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f207,plain,
$false,
inference(avatar_sat_refutation,[],[f150,f203,f206]) ).
fof(f206,plain,
spl5_2,
inference(avatar_contradiction_clause,[],[f205]) ).
fof(f205,plain,
( $false
| spl5_2 ),
inference(resolution,[],[f204,f197]) ).
fof(f197,plain,
! [X0,X1] : ~ apart_point_and_line(X0,X1),
inference(resolution,[],[f172,f189]) ).
fof(f189,plain,
! [X0,X1] : ~ distinct_lines(X0,parallel_through_point(X0,X1)),
inference(resolution,[],[f184,f110]) ).
fof(f110,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f184,plain,
! [X0,X1] : ~ convergent_lines(X0,parallel_through_point(X0,X1)),
inference(resolution,[],[f181,f153]) ).
fof(f153,plain,
! [X0,X1] : ~ distinct_lines(parallel_through_point(X0,X1),X0),
inference(resolution,[],[f110,f108]) ).
fof(f108,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp1) ).
fof(f181,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X1,X0) ),
inference(resolution,[],[f127,f104]) ).
fof(f104,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart3) ).
fof(f127,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).
fof(f172,plain,
! [X2,X0,X1] :
( distinct_lines(X0,parallel_through_point(X1,X2))
| ~ apart_point_and_line(X2,X0) ),
inference(resolution,[],[f126,f107]) ).
fof(f107,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp2) ).
fof(f126,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,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(f204,plain,
( apart_point_and_line(sK0,sK3)
| spl5_2 ),
inference(resolution,[],[f149,f119]) ).
fof(f119,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
=> incident_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/sandbox2/benchmark/theBenchmark.p',a4) ).
fof(f149,plain,
( ~ incident_point_and_line(sK0,sK3)
| spl5_2 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl5_2
<=> incident_point_and_line(sK0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f203,plain,
spl5_1,
inference(avatar_contradiction_clause,[],[f200]) ).
fof(f200,plain,
( $false
| spl5_1 ),
inference(resolution,[],[f197,f154]) ).
fof(f154,plain,
( apart_point_and_line(sK0,sK2)
| spl5_1 ),
inference(resolution,[],[f119,f145]) ).
fof(f145,plain,
( ~ incident_point_and_line(sK0,sK2)
| spl5_1 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f143,plain,
( spl5_1
<=> incident_point_and_line(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f150,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f101,f147,f143]) ).
fof(f101,plain,
( ~ incident_point_and_line(sK0,sK3)
| ~ incident_point_and_line(sK0,sK2) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ( ~ incident_point_and_line(sK0,sK3)
| ~ incident_point_and_line(sK0,sK2) )
& equal_points(sK0,intersection_point(sK2,sK3))
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f55,f96]) ).
fof(f96,plain,
( ? [X0,X1,X2,X3] :
( ( ~ incident_point_and_line(X0,X3)
| ~ incident_point_and_line(X0,X2) )
& equal_points(X0,intersection_point(X2,X3))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( ( ~ incident_point_and_line(sK0,sK3)
| ~ incident_point_and_line(sK0,sK2) )
& equal_points(sK0,intersection_point(sK2,sK3))
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
? [X0,X1,X2,X3] :
( ( ~ incident_point_and_line(X0,X3)
| ~ incident_point_and_line(X0,X2) )
& equal_points(X0,intersection_point(X2,X3))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
? [X0,X1,X2,X3] :
( ( ~ incident_point_and_line(X0,X3)
| ~ incident_point_and_line(X0,X2) )
& equal_points(X0,intersection_point(X2,X3))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X0,X1,X2,X3] :
( ( equal_points(X0,intersection_point(X2,X3))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( incident_point_and_line(X0,X3)
& incident_point_and_line(X0,X2) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( equal_points(X0,intersection_point(X3,X4))
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( incident_point_and_line(X0,X4)
& incident_point_and_line(X0,X3) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1,X3,X4] :
( ( equal_points(X0,intersection_point(X3,X4))
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( incident_point_and_line(X0,X4)
& incident_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : GEO185+3 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.18/0.39 % Computer : n016.cluster.edu
% 0.18/0.39 % Model : x86_64 x86_64
% 0.18/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.39 % Memory : 8042.1875MB
% 0.18/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.39 % CPULimit : 300
% 0.18/0.39 % WCLimit : 300
% 0.18/0.39 % DateTime : Sun May 19 15:12:38 EDT 2024
% 0.18/0.39 % CPUTime :
% 0.18/0.39 % (6169)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.40 % (6170)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.18/0.40 TRYING [1]
% 0.18/0.40 TRYING [2]
% 0.18/0.40 TRYING [3]
% 0.18/0.40 % (6172)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)
% 0.18/0.40 TRYING [4]
% 0.18/0.41 TRYING [5]
% 0.18/0.41 % (6176)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)
% 0.18/0.41 % (6175)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.18/0.41 TRYING [1]
% 0.18/0.41 TRYING [2]
% 0.18/0.41 TRYING [3]
% 0.18/0.41 % (6172)First to succeed.
% 0.18/0.41 % (6172)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6169"
% 0.18/0.41 TRYING [4]
% 0.18/0.41 TRYING [6]
% 0.18/0.41 % (6172)Refutation found. Thanks to Tanya!
% 0.18/0.41 % SZS status Theorem for theBenchmark
% 0.18/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.41 % (6172)------------------------------
% 0.18/0.41 % (6172)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.41 % (6172)Termination reason: Refutation
% 0.18/0.41
% 0.18/0.41 % (6172)Memory used [KB]: 975
% 0.18/0.41 % (6172)Time elapsed: 0.006 s
% 0.18/0.41 % (6172)Instructions burned: 7 (million)
% 0.18/0.41 % (6169)Success in time 0.011 s
%------------------------------------------------------------------------------