TSTP Solution File: GEO184+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO184+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n029.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 16:12:09 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of formulae : 40 ( 11 unt; 0 def)
% Number of atoms : 132 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 147 ( 55 ~; 48 |; 35 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 76 ( 60 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f159,plain,
$false,
inference(subsumption_resolution,[],[f156,f78]) ).
fof(f78,plain,
distinct_points(sK2,sK0),
inference(literal_reordering,[],[f75]) ).
fof(f75,plain,
distinct_points(sK2,sK0),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ~ apart_point_and_line(sK2,sK3)
& distinct_points(sK2,sK0)
& convergent_lines(sK3,sK1)
& ~ apart_point_and_line(sK0,sK3)
& distinct_lines(sK3,line_connecting(sK2,sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f55,f56]) ).
fof(f56,plain,
( ? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X2,X3)
& distinct_points(X2,X0)
& convergent_lines(X3,X1)
& ~ apart_point_and_line(X0,X3)
& distinct_lines(X3,line_connecting(X2,X0)) )
=> ( ~ apart_point_and_line(sK2,sK3)
& distinct_points(sK2,sK0)
& convergent_lines(sK3,sK1)
& ~ apart_point_and_line(sK0,sK3)
& distinct_lines(sK3,line_connecting(sK2,sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X2,X3)
& distinct_points(X2,X0)
& convergent_lines(X3,X1)
& ~ apart_point_and_line(X0,X3)
& distinct_lines(X3,line_connecting(X2,X0)) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
? [X3,X1,X0,X2] :
( ~ apart_point_and_line(X0,X2)
& distinct_points(X0,X3)
& convergent_lines(X2,X1)
& ~ apart_point_and_line(X3,X2)
& distinct_lines(X2,line_connecting(X0,X3)) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
? [X1,X0,X3,X2] :
( distinct_lines(X2,line_connecting(X0,X3))
& ~ apart_point_and_line(X0,X2)
& convergent_lines(X2,X1)
& distinct_points(X0,X3)
& ~ apart_point_and_line(X3,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
~ ! [X1,X0,X3,X2] :
( ( ~ apart_point_and_line(X0,X2)
& convergent_lines(X2,X1)
& distinct_points(X0,X3)
& ~ apart_point_and_line(X3,X2) )
=> ~ distinct_lines(X2,line_connecting(X0,X3)) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X0,X4,X3,X1] :
( ( convergent_lines(X3,X4)
& ~ apart_point_and_line(X0,X3)
& distinct_points(X0,X1)
& ~ apart_point_and_line(X1,X3) )
=> ~ distinct_lines(X3,line_connecting(X0,X1)) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X0,X4,X3,X1] :
( ( convergent_lines(X3,X4)
& ~ apart_point_and_line(X0,X3)
& distinct_points(X0,X1)
& ~ apart_point_and_line(X1,X3) )
=> ~ distinct_lines(X3,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f156,plain,
~ distinct_points(sK2,sK0),
inference(resolution,[],[f147,f80]) ).
fof(f80,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(literal_reordering,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( distinct_points(X1,X0)
=> ~ apart_point_and_line(X0,line_connecting(X1,X0)) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci2) ).
fof(f147,plain,
apart_point_and_line(sK0,line_connecting(sK2,sK0)),
inference(subsumption_resolution,[],[f144,f78]) ).
fof(f144,plain,
( apart_point_and_line(sK0,line_connecting(sK2,sK0))
| ~ distinct_points(sK2,sK0) ),
inference(resolution,[],[f115,f90]) ).
fof(f90,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(literal_reordering,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci1) ).
fof(f115,plain,
( apart_point_and_line(sK2,line_connecting(sK2,sK0))
| apart_point_and_line(sK0,line_connecting(sK2,sK0)) ),
inference(subsumption_resolution,[],[f114,f84]) ).
fof(f84,plain,
~ apart_point_and_line(sK0,sK3),
inference(literal_reordering,[],[f73]) ).
fof(f73,plain,
~ apart_point_and_line(sK0,sK3),
inference(cnf_transformation,[],[f57]) ).
fof(f114,plain,
( apart_point_and_line(sK0,line_connecting(sK2,sK0))
| apart_point_and_line(sK2,line_connecting(sK2,sK0))
| apart_point_and_line(sK0,sK3) ),
inference(subsumption_resolution,[],[f111,f85]) ).
fof(f85,plain,
~ apart_point_and_line(sK2,sK3),
inference(literal_reordering,[],[f76]) ).
fof(f76,plain,
~ apart_point_and_line(sK2,sK3),
inference(cnf_transformation,[],[f57]) ).
fof(f111,plain,
( apart_point_and_line(sK2,line_connecting(sK2,sK0))
| apart_point_and_line(sK2,sK3)
| apart_point_and_line(sK0,line_connecting(sK2,sK0))
| apart_point_and_line(sK0,sK3) ),
inference(resolution,[],[f102,f83]) ).
fof(f83,plain,
distinct_lines(sK3,line_connecting(sK2,sK0)),
inference(literal_reordering,[],[f72]) ).
fof(f72,plain,
distinct_lines(sK3,line_connecting(sK2,sK0)),
inference(cnf_transformation,[],[f57]) ).
fof(f102,plain,
! [X0,X1] :
( ~ distinct_lines(X1,X0)
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sK2,X0)
| apart_point_and_line(sK0,X1)
| apart_point_and_line(sK2,X1) ),
inference(resolution,[],[f81,f78]) ).
fof(f81,plain,
! [X2,X3,X0,X1] :
( ~ distinct_points(X2,X0)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X0,X3)
| ~ distinct_lines(X3,X1)
| apart_point_and_line(X2,X3) ),
inference(literal_reordering,[],[f70]) ).
fof(f70,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X1)
| ~ distinct_points(X2,X0)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X2,X3)
| ~ distinct_lines(X3,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2,X3] :
( ~ distinct_lines(X3,X1)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X0,X1)
| ~ distinct_points(X2,X0)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X2,X3) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X0,X3,X1,X2] :
( ~ distinct_lines(X2,X3)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X3)
| ~ distinct_points(X1,X0)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0,X2,X3,X1] :
( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X1,X0)
| ~ distinct_lines(X2,X3) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X2,X3,X1] :
( ( distinct_points(X1,X0)
& distinct_lines(X2,X3) )
=> ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X3) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X0,X3,X4] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO184+1 : TPTP v8.1.0. Released v3.3.0.
% 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
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 21:35:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (18515)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (18523)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50 % (18532)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50 % (18526)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 % (18526)First to succeed.
% 0.19/0.51 % (18518)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (18537)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52 % (18526)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (18526)------------------------------
% 0.19/0.52 % (18526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (18526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (18526)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (18526)Memory used [KB]: 5756
% 0.19/0.52 % (18526)Time elapsed: 0.006 s
% 0.19/0.52 % (18526)Instructions burned: 5 (million)
% 0.19/0.52 % (18526)------------------------------
% 0.19/0.52 % (18526)------------------------------
% 0.19/0.52 % (18509)Success in time 0.173 s
%------------------------------------------------------------------------------