TSTP Solution File: GEO253+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO253+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_uns --cores 0 -t %d %s
% Computer : n007.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 16:09:31 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 5 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 65 ( 29 ~; 11 |; 20 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 37 ( 25 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f157,plain,
$false,
inference(subsumption_resolution,[],[f156,f136]) ).
fof(f136,plain,
! [X0,X1] : ~ left_apart_point(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( ~ left_apart_point(X0,reverse_line(X1))
& ~ left_apart_point(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
~ ( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag10) ).
fof(f156,plain,
left_apart_point(sK1,reverse_line(sK2)),
inference(subsumption_resolution,[],[f155,f135]) ).
fof(f135,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f61]) ).
fof(f155,plain,
( left_apart_point(sK1,sK2)
| left_apart_point(sK1,reverse_line(sK2)) ),
inference(resolution,[],[f141,f153]) ).
fof(f153,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
| left_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( ( left_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(X1))
| ~ apart_point_and_line(X0,X1) )
& ( apart_point_and_line(X0,X1)
| ( ~ left_apart_point(X0,X1)
& ~ left_apart_point(X0,reverse_line(X1)) ) ) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( ( left_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(X1))
| ~ apart_point_and_line(X0,X1) )
& ( apart_point_and_line(X0,X1)
| ( ~ left_apart_point(X0,X1)
& ~ left_apart_point(X0,reverse_line(X1)) ) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ( left_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(X1)) )
<=> apart_point_and_line(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apt_def) ).
fof(f141,plain,
apart_point_and_line(sK1,sK2),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( ~ apart_point_and_line(sK0,parallel_through_point(sK2,sK1))
& apart_point_and_line(sK1,sK2)
& ~ apart_point_and_line(sK0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f107,f108]) ).
fof(f108,plain,
( ? [X0,X1,X2] :
( ~ apart_point_and_line(X0,parallel_through_point(X2,X1))
& apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2) )
=> ( ~ apart_point_and_line(sK0,parallel_through_point(sK2,sK1))
& apart_point_and_line(sK1,sK2)
& ~ apart_point_and_line(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X0,parallel_through_point(X2,X1))
& apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
? [X0,X2,X1] :
( ~ apart_point_and_line(X0,parallel_through_point(X1,X2))
& apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
? [X2,X1,X0] :
( ~ apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X0,parallel_through_point(X1,X2))
& apart_point_and_line(X2,X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
~ ! [X2,X1,X0] :
( ( ~ apart_point_and_line(X0,parallel_through_point(X1,X2))
& apart_point_and_line(X2,X1) )
=> apart_point_and_line(X0,X1) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X3,X1,X0] :
( ( apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X3,parallel_through_point(X1,X0)) )
=> apart_point_and_line(X3,X1) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X3,X1,X0] :
( ( apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X3,parallel_through_point(X1,X0)) )
=> apart_point_and_line(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO253+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 21:19:45 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (29837)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.51 % (29834)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.51 % (29837)First to succeed.
% 0.20/0.52 % (29827)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (29833)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.52 % (29845)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.52 % (29845)Also succeeded, but the first one will report.
% 0.20/0.52 % (29837)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (29837)------------------------------
% 0.20/0.52 % (29837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (29837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (29837)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (29837)Memory used [KB]: 1535
% 0.20/0.52 % (29837)Time elapsed: 0.106 s
% 0.20/0.52 % (29837)Instructions burned: 3 (million)
% 0.20/0.52 % (29837)------------------------------
% 0.20/0.52 % (29837)------------------------------
% 0.20/0.52 % (29824)Success in time 0.165 s
%------------------------------------------------------------------------------