TSTP Solution File: GEO262+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO262+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 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 : n004.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 16:12:30 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 4 unt; 0 def)
% Number of atoms : 118 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 137 ( 49 ~; 20 |; 59 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 82 ( 58 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f208,plain,
$false,
inference(resolution,[],[f206,f177]) ).
fof(f177,plain,
convergent_lines(sK1,sK5),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
( between_on_line(sK4,sK3,sK0,sK2)
& ~ between_on_line(sK1,intersection_point(sK1,parallel_through_point(sK5,sK3)),sK0,intersection_point(sK1,parallel_through_point(sK5,sK2)))
& convergent_lines(sK4,sK1)
& convergent_lines(sK1,sK5)
& ~ apart_point_and_line(sK0,sK1)
& convergent_lines(sK4,sK5)
& ~ apart_point_and_line(sK0,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f123,f124]) ).
fof(f124,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( between_on_line(X4,X3,X0,X2)
& ~ between_on_line(X1,intersection_point(X1,parallel_through_point(X5,X3)),X0,intersection_point(X1,parallel_through_point(X5,X2)))
& convergent_lines(X4,X1)
& convergent_lines(X1,X5)
& ~ apart_point_and_line(X0,X1)
& convergent_lines(X4,X5)
& ~ apart_point_and_line(X0,X5) )
=> ( between_on_line(sK4,sK3,sK0,sK2)
& ~ between_on_line(sK1,intersection_point(sK1,parallel_through_point(sK5,sK3)),sK0,intersection_point(sK1,parallel_through_point(sK5,sK2)))
& convergent_lines(sK4,sK1)
& convergent_lines(sK1,sK5)
& ~ apart_point_and_line(sK0,sK1)
& convergent_lines(sK4,sK5)
& ~ apart_point_and_line(sK0,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
? [X0,X1,X2,X3,X4,X5] :
( between_on_line(X4,X3,X0,X2)
& ~ between_on_line(X1,intersection_point(X1,parallel_through_point(X5,X3)),X0,intersection_point(X1,parallel_through_point(X5,X2)))
& convergent_lines(X4,X1)
& convergent_lines(X1,X5)
& ~ apart_point_and_line(X0,X1)
& convergent_lines(X4,X5)
& ~ apart_point_and_line(X0,X5) ),
inference(rectify,[],[f85]) ).
fof(f85,plain,
? [X3,X5,X2,X0,X4,X1] :
( between_on_line(X4,X0,X3,X2)
& ~ between_on_line(X5,intersection_point(X5,parallel_through_point(X1,X0)),X3,intersection_point(X5,parallel_through_point(X1,X2)))
& convergent_lines(X4,X5)
& convergent_lines(X5,X1)
& ~ apart_point_and_line(X3,X5)
& convergent_lines(X4,X1)
& ~ apart_point_and_line(X3,X1) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
? [X2,X4,X0,X5,X3,X1] :
( ~ between_on_line(X5,intersection_point(X5,parallel_through_point(X1,X0)),X3,intersection_point(X5,parallel_through_point(X1,X2)))
& between_on_line(X4,X0,X3,X2)
& convergent_lines(X4,X5)
& ~ apart_point_and_line(X3,X5)
& ~ apart_point_and_line(X3,X1)
& convergent_lines(X4,X1)
& convergent_lines(X5,X1) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
~ ! [X2,X4,X0,X5,X3,X1] :
( ( between_on_line(X4,X0,X3,X2)
& convergent_lines(X4,X5)
& ~ apart_point_and_line(X3,X5)
& ~ apart_point_and_line(X3,X1)
& convergent_lines(X4,X1)
& convergent_lines(X5,X1) )
=> between_on_line(X5,intersection_point(X5,parallel_through_point(X1,X0)),X3,intersection_point(X5,parallel_through_point(X1,X2))) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X0,X5,X4,X3,X1,X2] :
( ( ~ apart_point_and_line(X3,X5)
& convergent_lines(X1,X5)
& convergent_lines(X1,X2)
& ~ apart_point_and_line(X3,X2)
& between_on_line(X1,X0,X3,X4)
& convergent_lines(X2,X5) )
=> between_on_line(X2,intersection_point(X2,parallel_through_point(X5,X0)),X3,intersection_point(X2,parallel_through_point(X5,X4))) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X0,X5,X4,X3,X1,X2] :
( ( ~ apart_point_and_line(X3,X5)
& convergent_lines(X1,X5)
& convergent_lines(X1,X2)
& ~ apart_point_and_line(X3,X2)
& between_on_line(X1,X0,X3,X4)
& convergent_lines(X2,X5) )
=> between_on_line(X2,intersection_point(X2,parallel_through_point(X5,X0)),X3,intersection_point(X2,parallel_through_point(X5,X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f206,plain,
! [X0,X1] : ~ convergent_lines(X0,X1),
inference(subsumption_resolution,[],[f205,f139]) ).
fof(f139,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) )
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X1,X0] :
( convergent_lines(X0,X1)
=> ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) ) ),
inference(unused_predicate_definition_removal,[],[f48]) ).
fof(f48,plain,
! [X1,X0] :
( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) )
<=> convergent_lines(X0,X1) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
<=> ( unequally_directed_lines(X1,X2)
& unequally_directed_lines(X1,reverse_line(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con_def) ).
fof(f205,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1) ),
inference(resolution,[],[f191,f140]) ).
fof(f140,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f191,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(subsumption_resolution,[],[f190,f157]) ).
fof(f157,plain,
! [X0,X1] : ~ left_convergent_lines(X1,X0),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( ~ left_convergent_lines(X1,X0)
& ~ left_convergent_lines(X1,reverse_line(X0)) ),
inference(rectify,[],[f93]) ).
fof(f93,plain,
! [X1,X0] :
( ~ left_convergent_lines(X0,X1)
& ~ left_convergent_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
~ ( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X2] :
~ ( left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag11) ).
fof(f190,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(subsumption_resolution,[],[f141,f157]) ).
fof(f141,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X1,X0] :
( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X1,X0] :
( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) )
=> ( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1)) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X1,X2] :
( ( unequally_directed_lines(X1,X2)
& unequally_directed_lines(X1,reverse_line(X2)) )
=> ( left_convergent_lines(X1,X2)
| left_convergent_lines(X1,reverse_line(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag9) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO262+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.07/0.13 % 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 : n004.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 21:29:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (32480)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 % (32471)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)
% 0.19/0.52 % (32490)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.52 % (32480)First to succeed.
% 0.19/0.52 % (32470)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52 % (32472)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (32482)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)
% 0.19/0.52 % (32468)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52 % (32484)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (32469)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (32480)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (32480)------------------------------
% 0.19/0.53 % (32480)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (32480)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (32480)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (32480)Memory used [KB]: 5500
% 0.19/0.53 % (32480)Time elapsed: 0.127 s
% 0.19/0.53 % (32480)Instructions burned: 4 (million)
% 0.19/0.53 % (32480)------------------------------
% 0.19/0.53 % (32480)------------------------------
% 0.19/0.53 % (32467)Success in time 0.177 s
%------------------------------------------------------------------------------