TSTP Solution File: GEO176+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO176+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 : n001.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 16:12:06 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 37 ( 9 unt; 0 def)
% Number of atoms : 101 ( 1 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 96 ( 32 ~; 30 |; 24 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 64 ( 48 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f155,plain,
$false,
inference(subsumption_resolution,[],[f154,f77]) ).
fof(f77,plain,
~ distinct_points(sK2,sF4),
inference(definition_folding,[],[f73,f76]) ).
fof(f76,plain,
sF4 = intersection_point(sK3,sK1),
introduced(function_definition,[]) ).
fof(f73,plain,
~ distinct_points(sK2,intersection_point(sK3,sK1)),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ~ distinct_points(sK2,intersection_point(sK3,sK1))
& distinct_points(sK2,sK0)
& convergent_lines(sK3,sK1)
& ( apart_point_and_line(sK2,sK1)
| apart_point_and_line(sK2,sK3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f54,f55]) ).
fof(f55,plain,
( ? [X0,X1,X2,X3] :
( ~ distinct_points(X2,intersection_point(X3,X1))
& distinct_points(X2,X0)
& convergent_lines(X3,X1)
& ( apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X3) ) )
=> ( ~ distinct_points(sK2,intersection_point(sK3,sK1))
& distinct_points(sK2,sK0)
& convergent_lines(sK3,sK1)
& ( apart_point_and_line(sK2,sK1)
| apart_point_and_line(sK2,sK3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
? [X0,X1,X2,X3] :
( ~ distinct_points(X2,intersection_point(X3,X1))
& distinct_points(X2,X0)
& convergent_lines(X3,X1)
& ( apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X3) ) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
? [X0,X2,X1,X3] :
( ~ distinct_points(X1,intersection_point(X3,X2))
& distinct_points(X1,X0)
& convergent_lines(X3,X2)
& ( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3) ) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
? [X2,X3,X1,X0] :
( ~ distinct_points(X1,intersection_point(X3,X2))
& distinct_points(X1,X0)
& ( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3) )
& convergent_lines(X3,X2) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X2,X3,X1,X0] :
( ( distinct_points(X1,X0)
& ( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3) )
& convergent_lines(X3,X2) )
=> distinct_points(X1,intersection_point(X3,X2)) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X1,X0,X4,X3] :
( ( distinct_points(X0,X1)
& convergent_lines(X3,X4)
& ( apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X4) ) )
=> distinct_points(X0,intersection_point(X3,X4)) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X1,X0,X4,X3] :
( ( distinct_points(X0,X1)
& convergent_lines(X3,X4)
& ( apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X4) ) )
=> distinct_points(X0,intersection_point(X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f154,plain,
distinct_points(sK2,sF4),
inference(resolution,[],[f124,f81]) ).
fof(f81,plain,
~ apart_point_and_line(sF4,sK1),
inference(subsumption_resolution,[],[f80,f71]) ).
fof(f71,plain,
convergent_lines(sK3,sK1),
inference(cnf_transformation,[],[f56]) ).
fof(f80,plain,
( ~ apart_point_and_line(sF4,sK1)
| ~ convergent_lines(sK3,sK1) ),
inference(superposition,[],[f67,f76]) ).
fof(f67,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X0)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( ~ convergent_lines(X1,X0)
| ~ apart_point_and_line(intersection_point(X1,X0),X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X1,X0] :
( convergent_lines(X1,X0)
=> ~ apart_point_and_line(intersection_point(X1,X0),X0) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci4) ).
fof(f124,plain,
! [X0] :
( apart_point_and_line(X0,sK1)
| distinct_points(sK2,X0) ),
inference(resolution,[],[f123,f64]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2)
| distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( apart_point_and_line(X1,X2)
| ~ apart_point_and_line(X0,X2)
| distinct_points(X0,X1) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X2,X1,X0] :
( apart_point_and_line(X1,X0)
| ~ apart_point_and_line(X2,X0)
| distinct_points(X2,X1) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( distinct_points(X2,X1)
| apart_point_and_line(X1,X0)
| ~ apart_point_and_line(X2,X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X0)
=> ( distinct_points(X2,X1)
| apart_point_and_line(X1,X0) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X1,X2,X0] :
( apart_point_and_line(X0,X1)
=> ( distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq1) ).
fof(f123,plain,
apart_point_and_line(sK2,sK1),
inference(subsumption_resolution,[],[f120,f77]) ).
fof(f120,plain,
( distinct_points(sK2,sF4)
| apart_point_and_line(sK2,sK1) ),
inference(resolution,[],[f84,f79]) ).
fof(f79,plain,
~ apart_point_and_line(sF4,sK3),
inference(subsumption_resolution,[],[f78,f71]) ).
fof(f78,plain,
( ~ convergent_lines(sK3,sK1)
| ~ apart_point_and_line(sF4,sK3) ),
inference(superposition,[],[f63,f76]) ).
fof(f63,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X1)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X1)
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( convergent_lines(X1,X0)
=> ~ apart_point_and_line(intersection_point(X1,X0),X1) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci3) ).
fof(f84,plain,
! [X0] :
( apart_point_and_line(X0,sK3)
| apart_point_and_line(sK2,sK1)
| distinct_points(sK2,X0) ),
inference(resolution,[],[f64,f70]) ).
fof(f70,plain,
( apart_point_and_line(sK2,sK3)
| apart_point_and_line(sK2,sK1) ),
inference(cnf_transformation,[],[f56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO176+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % 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 : n001.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 21:45:15 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.47 % (9678)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)
% 0.19/0.47 TRYING [1]
% 0.19/0.47 TRYING [2]
% 0.19/0.48 TRYING [3]
% 0.19/0.48 % (9696)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.48 TRYING [4]
% 0.19/0.48 % (9687)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.48 TRYING [5]
% 0.19/0.48 % (9695)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)
% 0.19/0.48 % (9679)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.49 % (9697)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.49 TRYING [6]
% 0.19/0.49 % (9687)First to succeed.
% 0.19/0.49 % (9686)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)
% 0.19/0.49 % (9679)Also succeeded, but the first one will report.
% 0.19/0.49 % (9672)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)
% 0.19/0.49 % (9687)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Theorem for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (9687)------------------------------
% 0.19/0.49 % (9687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (9687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (9687)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (9687)Memory used [KB]: 1023
% 0.19/0.49 % (9687)Time elapsed: 0.064 s
% 0.19/0.49 % (9687)Instructions burned: 4 (million)
% 0.19/0.49 % (9687)------------------------------
% 0.19/0.49 % (9687)------------------------------
% 0.19/0.49 % (9668)Success in time 0.154 s
%------------------------------------------------------------------------------