TSTP Solution File: GEO186+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO186+2 : 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 : n003.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 16:12:10 EDT 2022
% Result : Theorem 1.75s 0.60s
% Output : Refutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 42 ( 10 unt; 0 def)
% Number of atoms : 145 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 160 ( 57 ~; 53 |; 38 &)
% ( 0 <=>; 12 =>; 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 : 89 ( 73 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f317,plain,
$false,
inference(subsumption_resolution,[],[f312,f59]) ).
fof(f59,plain,
convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( distinct_points(sK1,intersection_point(sK0,sK2))
& ~ apart_point_and_line(sK1,sK2)
& distinct_points(sK1,sK3)
& ~ apart_point_and_line(sK1,sK0)
& convergent_lines(sK0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f45,f46]) ).
fof(f46,plain,
( ? [X0,X1,X2,X3] :
( distinct_points(X1,intersection_point(X0,X2))
& ~ apart_point_and_line(X1,X2)
& distinct_points(X1,X3)
& ~ apart_point_and_line(X1,X0)
& convergent_lines(X0,X2) )
=> ( distinct_points(sK1,intersection_point(sK0,sK2))
& ~ apart_point_and_line(sK1,sK2)
& distinct_points(sK1,sK3)
& ~ apart_point_and_line(sK1,sK0)
& convergent_lines(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
? [X0,X1,X2,X3] :
( distinct_points(X1,intersection_point(X0,X2))
& ~ apart_point_and_line(X1,X2)
& distinct_points(X1,X3)
& ~ apart_point_and_line(X1,X0)
& convergent_lines(X0,X2) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
? [X1,X0,X2,X3] :
( distinct_points(X0,intersection_point(X1,X2))
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,X3)
& ~ apart_point_and_line(X0,X1)
& convergent_lines(X1,X2) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
? [X3,X0,X1,X2] :
( distinct_points(X0,intersection_point(X1,X2))
& distinct_points(X0,X3)
& ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1)
& convergent_lines(X1,X2) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ! [X3,X0,X1,X2] :
( ( distinct_points(X0,X3)
& ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1)
& convergent_lines(X1,X2) )
=> ~ distinct_points(X0,intersection_point(X1,X2)) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X3,X4,X1] :
( ( ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X4)
& distinct_points(X0,X1)
& convergent_lines(X3,X4) )
=> ~ distinct_points(X0,intersection_point(X3,X4)) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X3,X4,X1] :
( ( ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X4)
& distinct_points(X0,X1)
& convergent_lines(X3,X4) )
=> ~ distinct_points(X0,intersection_point(X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f312,plain,
~ convergent_lines(sK0,sK2),
inference(resolution,[],[f215,f98]) ).
fof(f98,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f54,f51]) ).
fof(f51,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart1) ).
fof(f54,plain,
! [X2,X0,X1] :
( distinct_points(X0,intersection_point(X2,X1))
| ~ convergent_lines(X2,X1)
| ~ apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X2,X1)
| ( ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1) )
| distinct_points(X0,intersection_point(X2,X1)) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
! [X1,X2,X0] :
( ~ convergent_lines(X0,X2)
| ( ~ apart_point_and_line(X1,X0)
& ~ apart_point_and_line(X1,X2) )
| distinct_points(X1,intersection_point(X0,X2)) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X1,X0,X2] :
( distinct_points(X1,intersection_point(X0,X2))
| ( ~ apart_point_and_line(X1,X0)
& ~ apart_point_and_line(X1,X2) )
| ~ convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X1,X0,X2] :
( convergent_lines(X0,X2)
=> ( ( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0) )
=> distinct_points(X1,intersection_point(X0,X2)) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X2,X1] :
( convergent_lines(X0,X1)
=> ( ( apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1) )
=> distinct_points(X2,intersection_point(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con2) ).
fof(f215,plain,
apart_point_and_line(intersection_point(sK0,sK2),sK0),
inference(subsumption_resolution,[],[f210,f59]) ).
fof(f210,plain,
( ~ convergent_lines(sK0,sK2)
| apart_point_and_line(intersection_point(sK0,sK2),sK0) ),
inference(resolution,[],[f150,f96]) ).
fof(f96,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f53,f51]) ).
fof(f53,plain,
! [X2,X0,X1] :
( distinct_points(X0,intersection_point(X2,X1))
| ~ convergent_lines(X2,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f150,plain,
( apart_point_and_line(intersection_point(sK0,sK2),sK2)
| apart_point_and_line(intersection_point(sK0,sK2),sK0) ),
inference(subsumption_resolution,[],[f149,f60]) ).
fof(f60,plain,
~ apart_point_and_line(sK1,sK0),
inference(cnf_transformation,[],[f47]) ).
fof(f149,plain,
( apart_point_and_line(sK1,sK0)
| apart_point_and_line(intersection_point(sK0,sK2),sK2)
| apart_point_and_line(intersection_point(sK0,sK2),sK0) ),
inference(subsumption_resolution,[],[f143,f62]) ).
fof(f62,plain,
~ apart_point_and_line(sK1,sK2),
inference(cnf_transformation,[],[f47]) ).
fof(f143,plain,
( apart_point_and_line(intersection_point(sK0,sK2),sK0)
| apart_point_and_line(intersection_point(sK0,sK2),sK2)
| apart_point_and_line(sK1,sK2)
| apart_point_and_line(sK1,sK0) ),
inference(resolution,[],[f100,f63]) ).
fof(f63,plain,
distinct_points(sK1,intersection_point(sK0,sK2)),
inference(cnf_transformation,[],[f47]) ).
fof(f100,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| apart_point_and_line(X1,sK0)
| apart_point_and_line(X0,sK2)
| apart_point_and_line(X0,sK0)
| apart_point_and_line(X1,sK2) ),
inference(resolution,[],[f67,f69]) ).
fof(f69,plain,
distinct_lines(sK0,sK2),
inference(resolution,[],[f58,f59]) ).
fof(f58,plain,
! [X0,X1] :
( ~ convergent_lines(X1,X0)
| distinct_lines(X1,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ~ convergent_lines(X1,X0)
| distinct_lines(X1,X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( convergent_lines(X1,X0)
=> distinct_lines(X1,X0) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
fof(f67,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X3,X2)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2,X3] :
( ~ distinct_points(X1,X0)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3)
| ~ distinct_lines(X3,X2)
| apart_point_and_line(X0,X2) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X3,X2] :
( ~ distinct_points(X1,X0)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2)
| ~ distinct_lines(X2,X3)
| apart_point_and_line(X0,X3) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X1,X0,X3,X2] :
( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X1,X0,X3,X2] :
( ( distinct_lines(X2,X3)
& distinct_points(X1,X0) )
=> ( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0,X3,X4] :
( ( distinct_points(X0,X1)
& distinct_lines(X3,X4) )
=> ( apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X1,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO186+2 : 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
% 0.13/0.34 % Computer : n003.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 21:26:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.54 % (13126)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)
% 0.19/0.54 % (13124)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)
% 0.19/0.55 % (13124)Refutation not found, incomplete strategy% (13124)------------------------------
% 0.19/0.55 % (13124)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (13124)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (13124)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55
% 0.19/0.55 % (13124)Memory used [KB]: 5373
% 0.19/0.55 % (13124)Time elapsed: 0.140 s
% 0.19/0.55 % (13124)Instructions burned: 2 (million)
% 0.19/0.55 % (13124)------------------------------
% 0.19/0.55 % (13124)------------------------------
% 0.19/0.55 % (13142)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)
% 1.53/0.57 % (13134)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)
% 1.53/0.57 % (13125)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)
% 1.75/0.58 % (13152)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.75/0.58 % (13123)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)
% 1.75/0.58 % (13151)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.75/0.58 % (13140)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.75/0.58 TRYING [1]
% 1.75/0.58 TRYING [2]
% 1.75/0.58 % (13137)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)
% 1.75/0.58 TRYING [3]
% 1.75/0.59 % (13127)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.75/0.59 TRYING [1]
% 1.75/0.59 % (13132)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.75/0.59 % (13133)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.75/0.59 TRYING [2]
% 1.75/0.59 % (13136)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.75/0.59 TRYING [3]
% 1.75/0.59 % (13138)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)
% 1.75/0.59 % (13125)First to succeed.
% 1.75/0.59 % (13143)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.75/0.60 TRYING [4]
% 1.75/0.60 % (13130)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.75/0.60 % (13129)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)
% 1.75/0.60 % (13125)Refutation found. Thanks to Tanya!
% 1.75/0.60 % SZS status Theorem for theBenchmark
% 1.75/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.75/0.61 % (13125)------------------------------
% 1.75/0.61 % (13125)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.61 % (13125)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.61 % (13125)Termination reason: Refutation
% 1.75/0.61
% 1.75/0.61 % (13125)Memory used [KB]: 1023
% 1.75/0.61 % (13125)Time elapsed: 0.175 s
% 1.75/0.61 % (13125)Instructions burned: 18 (million)
% 1.75/0.61 % (13125)------------------------------
% 1.75/0.61 % (13125)------------------------------
% 1.75/0.61 % (13122)Success in time 0.253 s
%------------------------------------------------------------------------------