TSTP Solution File: GEO198+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO198+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 : n019.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 16:12:14 EDT 2022
% Result : Theorem 0.17s 0.50s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 38 ( 15 unt; 0 def)
% Number of atoms : 85 ( 1 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 70 ( 23 ~; 20 |; 17 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 74 ( 68 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f323,plain,
$false,
inference(resolution,[],[f319,f104]) ).
fof(f104,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart3) ).
fof(f319,plain,
! [X0] : convergent_lines(sK0,X0),
inference(resolution,[],[f301,f151]) ).
fof(f151,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp1) ).
fof(f301,plain,
! [X0,X1] :
( convergent_lines(parallel_through_point(X1,sF4),X0)
| convergent_lines(sK0,X0) ),
inference(resolution,[],[f298,f113]) ).
fof(f113,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X2,X1)
| convergent_lines(X2,X0)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X2,X1,X0] :
( ~ convergent_lines(X2,X1)
| convergent_lines(X2,X0)
| convergent_lines(X1,X0) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
! [X1,X0,X2] :
( convergent_lines(X1,X0)
| convergent_lines(X2,X0)
| ~ convergent_lines(X2,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X1,X0,X2] :
( convergent_lines(X2,X1)
=> ( convergent_lines(X1,X0)
| convergent_lines(X2,X0) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2,X1,X0] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f298,plain,
! [X2] : convergent_lines(sK0,parallel_through_point(X2,sF4)),
inference(resolution,[],[f295,f108]) ).
fof(f108,plain,
! [X0,X1] :
( ~ distinct_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( convergent_lines(X1,X0)
| ~ distinct_lines(X1,X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( distinct_lines(X1,X0)
=> convergent_lines(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f295,plain,
! [X6] : distinct_lines(sK0,parallel_through_point(X6,sF4)),
inference(resolution,[],[f287,f103]) ).
fof(f103,plain,
! [X0,X1] : ~ apart_point_and_line(X1,parallel_through_point(X0,X1)),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] : ~ apart_point_and_line(X1,parallel_through_point(X0,X1)),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X1,X0] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp2) ).
fof(f287,plain,
! [X0] :
( apart_point_and_line(sF4,X0)
| distinct_lines(sK0,X0) ),
inference(resolution,[],[f141,f158]) ).
fof(f158,plain,
apart_point_and_line(sF4,sK0),
inference(resolution,[],[f117,f155]) ).
fof(f155,plain,
~ incident_point_and_line(sF4,sK0),
inference(definition_folding,[],[f120,f154]) ).
fof(f154,plain,
sF4 = intersection_point(sK1,sK2),
introduced(function_definition,[]) ).
fof(f120,plain,
~ incident_point_and_line(intersection_point(sK1,sK2),sK0),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
? [X0,X1,X2] :
( convergent_lines(X2,X0)
& incident_point_and_line(intersection_point(X1,X0),X2)
& convergent_lines(X1,X2)
& convergent_lines(X1,X0)
& ~ incident_point_and_line(intersection_point(X1,X2),X0) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
? [X0,X1,X2] :
( ~ incident_point_and_line(intersection_point(X1,X2),X0)
& convergent_lines(X1,X2)
& incident_point_and_line(intersection_point(X1,X0),X2)
& convergent_lines(X1,X0)
& convergent_lines(X2,X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
~ ! [X0,X1,X2] :
( ( convergent_lines(X1,X2)
& incident_point_and_line(intersection_point(X1,X0),X2)
& convergent_lines(X1,X0)
& convergent_lines(X2,X0) )
=> incident_point_and_line(intersection_point(X1,X2),X0) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X1,X0,X2] :
( ( convergent_lines(X0,X2)
& convergent_lines(X0,X1)
& incident_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X2,X1) )
=> incident_point_and_line(intersection_point(X0,X2),X1) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X1,X0,X2] :
( ( convergent_lines(X0,X2)
& convergent_lines(X0,X1)
& incident_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X2,X1) )
=> incident_point_and_line(intersection_point(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f117,plain,
! [X0,X1] :
( incident_point_and_line(X1,X0)
| apart_point_and_line(X1,X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X1,X0] :
( ~ apart_point_and_line(X1,X0)
<=> incident_point_and_line(X1,X0) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X1,X0] :
( incident_point_and_line(X0,X1)
<=> ~ apart_point_and_line(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X2,X1,X0] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X2,X1,X0] :
( apart_point_and_line(X0,X1)
=> ( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO198+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32 % Computer : n019.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Aug 29 21:32:50 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.48 % (21278)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.48 % (21283)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)
% 0.17/0.48 % (21285)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)
% 0.17/0.48 % (21279)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.17/0.49 % (21286)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.17/0.49 % (21298)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)
% 0.17/0.49 % (21289)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)
% 0.17/0.49 % (21293)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)
% 0.17/0.50 % (21285)First to succeed.
% 0.17/0.50 % (21280)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)
% 0.17/0.50 % (21281)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.50 % (21295)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.17/0.50 % (21277)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)
% 0.17/0.50 % (21300)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.17/0.50 % (21277)Also succeeded, but the first one will report.
% 0.17/0.50 % (21285)Refutation found. Thanks to Tanya!
% 0.17/0.50 % SZS status Theorem for theBenchmark
% 0.17/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.50 % (21285)------------------------------
% 0.17/0.50 % (21285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50 % (21285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50 % (21285)Termination reason: Refutation
% 0.17/0.50
% 0.17/0.50 % (21285)Memory used [KB]: 5628
% 0.17/0.50 % (21285)Time elapsed: 0.114 s
% 0.17/0.50 % (21285)Instructions burned: 8 (million)
% 0.17/0.50 % (21285)------------------------------
% 0.17/0.50 % (21285)------------------------------
% 0.17/0.50 % (21271)Success in time 0.175 s
%------------------------------------------------------------------------------