TSTP Solution File: GEO226+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO226+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 : n023.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 11:14:53 EDT 2024
% Result : Theorem 0.12s 0.34s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 4 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 84 ( 29 ~; 15 |; 29 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 44 ( 35 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f154,plain,
$false,
inference(subsumption_resolution,[],[f153,f106]) ).
fof(f106,plain,
convergent_lines(sK2,sK3),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( ! [X2] :
( ( ~ incident_point_and_line(X2,sK3)
| ~ incident_point_and_line(X2,sK2) )
& point(X2) )
& convergent_lines(sK2,sK3)
& line(sK3)
& line(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f54,f98]) ).
fof(f98,plain,
( ? [X0,X1] :
( ! [X2] :
( ( ~ incident_point_and_line(X2,X1)
| ~ incident_point_and_line(X2,X0) )
& point(X2) )
& convergent_lines(X0,X1)
& line(X1)
& line(X0) )
=> ( ! [X2] :
( ( ~ incident_point_and_line(X2,sK3)
| ~ incident_point_and_line(X2,sK2) )
& point(X2) )
& convergent_lines(sK2,sK3)
& line(sK3)
& line(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
? [X0,X1] :
( ! [X2] :
( ( ~ incident_point_and_line(X2,X1)
| ~ incident_point_and_line(X2,X0) )
& point(X2) )
& convergent_lines(X0,X1)
& line(X1)
& line(X0) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
? [X0,X1] :
( ! [X2] :
( ( ~ incident_point_and_line(X2,X1)
| ~ incident_point_and_line(X2,X0) )
& point(X2) )
& convergent_lines(X0,X1)
& line(X1)
& line(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X0,X1] :
( ( convergent_lines(X0,X1)
& line(X1)
& line(X0) )
=> ? [X2] :
( point(X2)
=> ( incident_point_and_line(X2,X1)
& incident_point_and_line(X2,X0) ) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X5,X6] :
( ( convergent_lines(X5,X6)
& line(X6)
& line(X5) )
=> ? [X0] :
( point(X0)
=> ( incident_point_and_line(X0,X6)
& incident_point_and_line(X0,X5) ) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X5,X6] :
( ( convergent_lines(X5,X6)
& line(X6)
& line(X5) )
=> ? [X0] :
( point(X0)
=> ( incident_point_and_line(X0,X6)
& incident_point_and_line(X0,X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f153,plain,
~ convergent_lines(sK2,sK3),
inference(resolution,[],[f151,f120]) ).
fof(f120,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci3) ).
fof(f151,plain,
apart_point_and_line(intersection_point(sK2,sK3),sK2),
inference(resolution,[],[f150,f106]) ).
fof(f150,plain,
! [X0] :
( ~ convergent_lines(X0,sK3)
| apart_point_and_line(intersection_point(X0,sK3),sK2) ),
inference(resolution,[],[f121,f148]) ).
fof(f148,plain,
! [X0] :
( apart_point_and_line(X0,sK3)
| apart_point_and_line(X0,sK2) ),
inference(resolution,[],[f147,f126]) ).
fof(f126,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,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(f147,plain,
! [X0] :
( ~ incident_point_and_line(X0,sK2)
| apart_point_and_line(X0,sK3) ),
inference(resolution,[],[f126,f108]) ).
fof(f108,plain,
! [X2] :
( ~ incident_point_and_line(X2,sK3)
| ~ incident_point_and_line(X2,sK2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f121,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO226+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.32 % Computer : n023.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Apr 30 05:58:55 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.12/0.32 % (2542)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.33 % (2549)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.33 % (2549)First to succeed.
% 0.12/0.33 % (2550)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.34 % (2549)Refutation found. Thanks to Tanya!
% 0.12/0.34 % SZS status Theorem for theBenchmark
% 0.12/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.34 % (2549)------------------------------
% 0.12/0.34 % (2549)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.34 % (2549)Termination reason: Refutation
% 0.12/0.34
% 0.12/0.34 % (2549)Memory used [KB]: 943
% 0.12/0.34 % (2549)Time elapsed: 0.002 s
% 0.12/0.34 % (2549)Instructions burned: 4 (million)
% 0.12/0.34 % (2549)------------------------------
% 0.12/0.34 % (2549)------------------------------
% 0.12/0.34 % (2542)Success in time 0.013 s
%------------------------------------------------------------------------------