TSTP Solution File: GEO253+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n017.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 16:12:28 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 4 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 70 ( 31 ~; 13 |; 20 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 6 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 : 43 ( 31 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f170,plain,
$false,
inference(resolution,[],[f167,f139]) ).
fof(f139,plain,
apart_point_and_line(sK2,sK0),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( apart_point_and_line(sK2,sK0)
& ~ apart_point_and_line(sK1,sK0)
& ~ apart_point_and_line(sK1,parallel_through_point(sK0,sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f108,f109]) ).
fof(f109,plain,
( ? [X0,X1,X2] :
( apart_point_and_line(X2,X0)
& ~ apart_point_and_line(X1,X0)
& ~ apart_point_and_line(X1,parallel_through_point(X0,X2)) )
=> ( apart_point_and_line(sK2,sK0)
& ~ apart_point_and_line(sK1,sK0)
& ~ apart_point_and_line(sK1,parallel_through_point(sK0,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
? [X0,X1,X2] :
( apart_point_and_line(X2,X0)
& ~ apart_point_and_line(X1,X0)
& ~ apart_point_and_line(X1,parallel_through_point(X0,X2)) ),
inference(rectify,[],[f98]) ).
fof(f98,plain,
? [X2,X1,X0] :
( apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X1,parallel_through_point(X2,X0)) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
? [X1,X0,X2] :
( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X1,parallel_through_point(X2,X0))
& apart_point_and_line(X0,X2) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
~ ! [X1,X0,X2] :
( ( ~ apart_point_and_line(X1,parallel_through_point(X2,X0))
& apart_point_and_line(X0,X2) )
=> apart_point_and_line(X1,X2) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X0,X3,X1] :
( ( ~ apart_point_and_line(X3,parallel_through_point(X1,X0))
& apart_point_and_line(X0,X1) )
=> apart_point_and_line(X3,X1) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X0,X3,X1] :
( ( ~ apart_point_and_line(X3,parallel_through_point(X1,X0))
& apart_point_and_line(X0,X1) )
=> apart_point_and_line(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f167,plain,
! [X3,X4] : ~ apart_point_and_line(X3,X4),
inference(resolution,[],[f161,f156]) ).
fof(f156,plain,
! [X0,X1] : ~ left_apart_point(X1,X0),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ~ left_apart_point(X1,X0)
& ~ left_apart_point(X1,reverse_line(X0)) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X1,X0] :
~ ( left_apart_point(X1,reverse_line(X0))
| left_apart_point(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
~ ( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag10) ).
fof(f161,plain,
! [X8,X7] :
( left_apart_point(X7,X8)
| ~ apart_point_and_line(X7,X8) ),
inference(resolution,[],[f125,f156]) ).
fof(f125,plain,
! [X0,X1] :
( left_apart_point(X1,reverse_line(X0))
| left_apart_point(X1,X0)
| ~ apart_point_and_line(X1,X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( ( apart_point_and_line(X1,X0)
| ( ~ left_apart_point(X1,X0)
& ~ left_apart_point(X1,reverse_line(X0)) ) )
& ( left_apart_point(X1,X0)
| left_apart_point(X1,reverse_line(X0))
| ~ apart_point_and_line(X1,X0) ) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( ( apart_point_and_line(X1,X0)
| ( ~ left_apart_point(X1,X0)
& ~ left_apart_point(X1,reverse_line(X0)) ) )
& ( left_apart_point(X1,X0)
| left_apart_point(X1,reverse_line(X0))
| ~ apart_point_and_line(X1,X0) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( apart_point_and_line(X1,X0)
<=> ( left_apart_point(X1,X0)
| left_apart_point(X1,reverse_line(X0)) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( ( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) )
<=> apart_point_and_line(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apt_def) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO253+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 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
% 0.14/0.34 % Computer : n017.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 20:59:05 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.50 % (32460)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.50 % (32453)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50 TRYING [1]
% 0.20/0.51 % (32453)First to succeed.
% 0.20/0.51 TRYING [2]
% 0.20/0.51 TRYING [3]
% 0.20/0.51 % (32456)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (32460)Also succeeded, but the first one will report.
% 0.20/0.51 % (32453)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (32453)------------------------------
% 0.20/0.51 % (32453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (32453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (32453)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (32453)Memory used [KB]: 5500
% 0.20/0.51 % (32453)Time elapsed: 0.097 s
% 0.20/0.51 % (32453)Instructions burned: 3 (million)
% 0.20/0.51 % (32453)------------------------------
% 0.20/0.51 % (32453)------------------------------
% 0.20/0.51 % (32442)Success in time 0.161 s
%------------------------------------------------------------------------------