TSTP Solution File: GEO257+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO257+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 : n025.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 16:12:29 EDT 2022
% Result : Theorem 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 3 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 80 ( 22 ~; 2 |; 49 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 43 ( 23 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f178,plain,
$false,
inference(subsumption_resolution,[],[f140,f153]) ).
fof(f153,plain,
! [X0,X1] : ~ left_apart_point(X1,X0),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( ~ left_apart_point(X1,X0)
& ~ left_apart_point(X1,reverse_line(X0)) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,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,X1)
| left_apart_point(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag10) ).
fof(f140,plain,
left_apart_point(sK4,sK2),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( ~ apart_point_and_line(sK1,sK2)
& distinct_points(sK0,sK1)
& ~ before_on_line(sK2,sK0,sK1)
& left_apart_point(sK4,sK2)
& before_on_line(sK2,sK3,sK1)
& before_on_line(sK2,sK0,sK3)
& distinct_points(sK3,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f108,f109]) ).
fof(f109,plain,
( ? [X0,X1,X2,X3,X4] :
( ~ apart_point_and_line(X1,X2)
& distinct_points(X0,X1)
& ~ before_on_line(X2,X0,X1)
& left_apart_point(X4,X2)
& before_on_line(X2,X3,X1)
& before_on_line(X2,X0,X3)
& distinct_points(X3,X1) )
=> ( ~ apart_point_and_line(sK1,sK2)
& distinct_points(sK0,sK1)
& ~ before_on_line(sK2,sK0,sK1)
& left_apart_point(sK4,sK2)
& before_on_line(sK2,sK3,sK1)
& before_on_line(sK2,sK0,sK3)
& distinct_points(sK3,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
? [X0,X1,X2,X3,X4] :
( ~ apart_point_and_line(X1,X2)
& distinct_points(X0,X1)
& ~ before_on_line(X2,X0,X1)
& left_apart_point(X4,X2)
& before_on_line(X2,X3,X1)
& before_on_line(X2,X0,X3)
& distinct_points(X3,X1) ),
inference(rectify,[],[f77]) ).
fof(f77,plain,
? [X3,X4,X2,X1,X0] :
( ~ apart_point_and_line(X4,X2)
& distinct_points(X3,X4)
& ~ before_on_line(X2,X3,X4)
& left_apart_point(X0,X2)
& before_on_line(X2,X1,X4)
& before_on_line(X2,X3,X1)
& distinct_points(X1,X4) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
? [X3,X0,X2,X1,X4] :
( ~ before_on_line(X2,X3,X4)
& before_on_line(X2,X1,X4)
& before_on_line(X2,X3,X1)
& distinct_points(X1,X4)
& left_apart_point(X0,X2)
& distinct_points(X3,X4)
& ~ apart_point_and_line(X4,X2) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
~ ! [X3,X0,X2,X1,X4] :
( ( distinct_points(X1,X4)
& left_apart_point(X0,X2)
& distinct_points(X3,X4)
& ~ apart_point_and_line(X4,X2) )
=> ( ( before_on_line(X2,X1,X4)
& before_on_line(X2,X3,X1) )
=> before_on_line(X2,X3,X4) ) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X6,X3,X1,X0,X4] :
( ( distinct_points(X0,X4)
& ~ apart_point_and_line(X4,X1)
& distinct_points(X3,X4)
& left_apart_point(X6,X1) )
=> ( ( before_on_line(X1,X0,X3)
& before_on_line(X1,X3,X4) )
=> before_on_line(X1,X0,X4) ) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X6,X3,X1,X0,X4] :
( ( distinct_points(X0,X4)
& ~ apart_point_and_line(X4,X1)
& distinct_points(X3,X4)
& left_apart_point(X6,X1) )
=> ( ( before_on_line(X1,X0,X3)
& before_on_line(X1,X3,X4) )
=> before_on_line(X1,X0,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO257+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 22:28:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48 % (21165)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49 % (21175)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)
% 0.18/0.49 % (21191)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)
% 0.18/0.49 % (21165)First to succeed.
% 0.18/0.49 % (21165)Refutation found. Thanks to Tanya!
% 0.18/0.49 % SZS status Theorem for theBenchmark
% 0.18/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49 % (21165)------------------------------
% 0.18/0.49 % (21165)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (21165)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (21165)Termination reason: Refutation
% 0.18/0.49
% 0.18/0.49 % (21165)Memory used [KB]: 5500
% 0.18/0.49 % (21165)Time elapsed: 0.006 s
% 0.18/0.49 % (21165)Instructions burned: 3 (million)
% 0.18/0.49 % (21165)------------------------------
% 0.18/0.49 % (21165)------------------------------
% 0.18/0.49 % (21156)Success in time 0.154 s
%------------------------------------------------------------------------------