TSTP Solution File: GEO225+3 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO225+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n020.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 : Wed Aug 31 16:12:23 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 3 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 101 ( 39 ~; 20 |; 31 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 50 ( 41 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f193,plain,
$false,
inference(subsumption_resolution,[],[f192,f147]) ).
fof(f147,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( point(sK1)
& distinct_points(sK0,sK1)
& point(sK0)
& ! [X2] :
( ( ~ incident_point_and_line(sK0,X2)
| ~ incident_point_and_line(sK1,X2) )
& line(X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f78,f115]) ).
fof(f115,plain,
( ? [X0,X1] :
( point(X1)
& distinct_points(X0,X1)
& point(X0)
& ! [X2] :
( ( ~ incident_point_and_line(X0,X2)
| ~ incident_point_and_line(X1,X2) )
& line(X2) ) )
=> ( point(sK1)
& distinct_points(sK0,sK1)
& point(sK0)
& ! [X2] :
( ( ~ incident_point_and_line(sK0,X2)
| ~ incident_point_and_line(sK1,X2) )
& line(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
? [X0,X1] :
( point(X1)
& distinct_points(X0,X1)
& point(X0)
& ! [X2] :
( ( ~ incident_point_and_line(X0,X2)
| ~ incident_point_and_line(X1,X2) )
& line(X2) ) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
? [X0,X1] :
( ! [X2] :
( ( ~ incident_point_and_line(X0,X2)
| ~ incident_point_and_line(X1,X2) )
& line(X2) )
& point(X0)
& distinct_points(X0,X1)
& point(X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
~ ! [X0,X1] :
( ( point(X0)
& distinct_points(X0,X1)
& point(X1) )
=> ? [X2] :
( line(X2)
=> ( incident_point_and_line(X0,X2)
& incident_point_and_line(X1,X2) ) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X8,X9] :
( ( distinct_points(X8,X9)
& point(X8)
& point(X9) )
=> ? [X0] :
( line(X0)
=> ( incident_point_and_line(X9,X0)
& incident_point_and_line(X8,X0) ) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X8,X9] :
( ( distinct_points(X8,X9)
& point(X8)
& point(X9) )
=> ? [X0] :
( line(X0)
=> ( incident_point_and_line(X9,X0)
& incident_point_and_line(X8,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f192,plain,
~ distinct_points(sK0,sK1),
inference(duplicate_literal_removal,[],[f191]) ).
fof(f191,plain,
( ~ distinct_points(sK0,sK1)
| ~ distinct_points(sK0,sK1) ),
inference(resolution,[],[f183,f180]) ).
fof(f180,plain,
! [X0,X1] :
( incident_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(resolution,[],[f131,f143]) ).
fof(f143,plain,
! [X0,X1] :
( apart_point_and_line(X1,X0)
| incident_point_and_line(X1,X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( ( incident_point_and_line(X1,X0)
| apart_point_and_line(X1,X0) )
& ( ~ apart_point_and_line(X1,X0)
| ~ incident_point_and_line(X1,X0) ) ),
inference(rectify,[],[f113]) ).
fof(f113,plain,
! [X1,X0] :
( ( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) )
& ( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X1,X0] :
( incident_point_and_line(X0,X1)
<=> ~ apart_point_and_line(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4) ).
fof(f131,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X1,X0] :
( distinct_points(X1,X0)
=> ~ apart_point_and_line(X1,line_connecting(X1,X0)) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci1) ).
fof(f183,plain,
! [X0] :
( ~ incident_point_and_line(sK0,line_connecting(X0,sK1))
| ~ distinct_points(X0,sK1) ),
inference(resolution,[],[f179,f145]) ).
fof(f145,plain,
! [X2] :
( ~ incident_point_and_line(sK1,X2)
| ~ incident_point_and_line(sK0,X2) ),
inference(cnf_transformation,[],[f116]) ).
fof(f179,plain,
! [X0,X1] :
( incident_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(resolution,[],[f126,f143]) ).
fof(f126,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X0,line_connecting(X1,X0)) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
! [X1,X0] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO225+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 21:37:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (4431)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 % (4431)First to succeed.
% 0.19/0.51 % (4450)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.51 % (4431)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (4431)------------------------------
% 0.19/0.51 % (4431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (4431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (4431)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (4431)Memory used [KB]: 5500
% 0.19/0.51 % (4431)Time elapsed: 0.092 s
% 0.19/0.51 % (4431)Instructions burned: 2 (million)
% 0.19/0.51 % (4431)------------------------------
% 0.19/0.51 % (4431)------------------------------
% 0.19/0.51 % (4423)Success in time 0.157 s
%------------------------------------------------------------------------------