TSTP Solution File: GEO206+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO206+3 : TPTP v8.1.0. Bugfixed v4.0.1.
% 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 : n011.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 16:12:17 EDT 2022
% Result : Theorem 1.79s 0.59s
% Output : Refutation 1.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 14 unt; 0 def)
% Number of atoms : 68 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 55 ( 23 ~; 14 |; 7 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 59 ( 53 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f192,plain,
$false,
inference(resolution,[],[f189,f155]) ).
fof(f155,plain,
~ convergent_lines(sF3,sK1),
inference(superposition,[],[f142,f153]) ).
fof(f153,plain,
parallel_through_point(sK1,sK2) = sF3,
introduced(function_definition,[]) ).
fof(f142,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X0] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp1) ).
fof(f189,plain,
convergent_lines(sF3,sK1),
inference(resolution,[],[f185,f109]) ).
fof(f109,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X1,X0] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f185,plain,
distinct_lines(sF3,sK1),
inference(resolution,[],[f182,f157]) ).
fof(f157,plain,
~ convergent_lines(sK0,sK1),
inference(resolution,[],[f112,f123]) ).
fof(f123,plain,
parallel_lines(sK0,sK1),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
? [X1,X0,X2] :
( parallel_lines(X1,X0)
& incident_point_and_line(X2,X1)
& ~ equal_lines(X1,parallel_through_point(X0,X2)) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
? [X1,X0,X2] :
( ~ equal_lines(X1,parallel_through_point(X0,X2))
& incident_point_and_line(X2,X1)
& parallel_lines(X1,X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
~ ! [X1,X0,X2] :
( ( incident_point_and_line(X2,X1)
& parallel_lines(X1,X0) )
=> equal_lines(X1,parallel_through_point(X0,X2)) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X2,X1,X0] :
( ( incident_point_and_line(X0,X1)
& parallel_lines(X1,X2) )
=> equal_lines(X1,parallel_through_point(X2,X0)) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X2,X1,X0] :
( ( incident_point_and_line(X0,X1)
& parallel_lines(X1,X2) )
=> equal_lines(X1,parallel_through_point(X2,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f112,plain,
! [X0,X1] :
( ~ parallel_lines(X1,X0)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X1,X0] :
( parallel_lines(X1,X0)
<=> ~ convergent_lines(X1,X0) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X1,X0] :
( ~ convergent_lines(X0,X1)
<=> parallel_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).
fof(f182,plain,
! [X0] :
( convergent_lines(sK0,X0)
| distinct_lines(sF3,X0) ),
inference(resolution,[],[f137,f161]) ).
fof(f161,plain,
convergent_lines(sK0,sF3),
inference(resolution,[],[f160,f109]) ).
fof(f160,plain,
distinct_lines(sK0,sF3),
inference(resolution,[],[f129,f154]) ).
fof(f154,plain,
~ equal_lines(sK0,sF3),
inference(definition_folding,[],[f121,f153]) ).
fof(f121,plain,
~ equal_lines(sK0,parallel_through_point(sK1,sK2)),
inference(cnf_transformation,[],[f83]) ).
fof(f129,plain,
! [X0,X1] :
( equal_lines(X1,X0)
| distinct_lines(X1,X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( distinct_lines(X1,X0)
| equal_lines(X1,X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,plain,
! [X1,X0] :
( ~ distinct_lines(X1,X0)
=> equal_lines(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f63]) ).
fof(f63,plain,
! [X1,X0] :
( equal_lines(X1,X0)
<=> ~ distinct_lines(X1,X0) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X1,X0] :
( ~ distinct_lines(X0,X1)
<=> equal_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f137,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X2,X1)
| distinct_lines(X1,X0)
| convergent_lines(X2,X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X2,X1] :
( ~ convergent_lines(X2,X1)
| distinct_lines(X1,X0)
| convergent_lines(X2,X0) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X0,X2,X1] :
( distinct_lines(X1,X0)
| convergent_lines(X2,X0)
| ~ convergent_lines(X2,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X2,X1] :
( convergent_lines(X2,X1)
=> ( distinct_lines(X1,X0)
| convergent_lines(X2,X0) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X2,X1,X0] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO206+3 : TPTP v8.1.0. Bugfixed v4.0.1.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 21:25:10 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.57 % (4481)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)
% 0.20/0.58 % (4500)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)
% 0.20/0.58 % (4481)First to succeed.
% 1.79/0.59 % (4492)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)
% 1.79/0.59 % (4487)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)
% 1.79/0.59 % (4481)Refutation found. Thanks to Tanya!
% 1.79/0.59 % SZS status Theorem for theBenchmark
% 1.79/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.79/0.59 % (4481)------------------------------
% 1.79/0.59 % (4481)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.59 % (4481)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.59 % (4481)Termination reason: Refutation
% 1.79/0.59
% 1.79/0.59 % (4481)Memory used [KB]: 5500
% 1.79/0.59 % (4481)Time elapsed: 0.156 s
% 1.79/0.59 % (4481)Instructions burned: 4 (million)
% 1.79/0.59 % (4481)------------------------------
% 1.79/0.59 % (4481)------------------------------
% 1.79/0.59 % (4477)Success in time 0.24 s
%------------------------------------------------------------------------------