TSTP Solution File: GEO241+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO241+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 : n002.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 16:12:26 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 3 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 53 ( 22 ~; 2 |; 25 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 17 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f155,plain,
$false,
inference(subsumption_resolution,[],[f133,f138]) ).
fof(f138,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,reverse_line(X1))
& ~ left_convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
~ ( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X2] :
~ ( left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag11) ).
fof(f133,plain,
left_convergent_lines(sK0,line_connecting(sK2,sK1)),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
( distinct_points(sK2,sK1)
& ~ left_apart_point(sK1,sK0)
& ~ apart_point_and_line(sK2,sK0)
& left_convergent_lines(sK0,line_connecting(sK2,sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f109,f110]) ).
fof(f110,plain,
( ? [X0,X1,X2] :
( distinct_points(X2,X1)
& ~ left_apart_point(X1,X0)
& ~ apart_point_and_line(X2,X0)
& left_convergent_lines(X0,line_connecting(X2,X1)) )
=> ( distinct_points(sK2,sK1)
& ~ left_apart_point(sK1,sK0)
& ~ apart_point_and_line(sK2,sK0)
& left_convergent_lines(sK0,line_connecting(sK2,sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
? [X0,X1,X2] :
( distinct_points(X2,X1)
& ~ left_apart_point(X1,X0)
& ~ apart_point_and_line(X2,X0)
& left_convergent_lines(X0,line_connecting(X2,X1)) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
? [X2,X1,X0] :
( distinct_points(X0,X1)
& ~ left_apart_point(X1,X2)
& ~ apart_point_and_line(X0,X2)
& left_convergent_lines(X2,line_connecting(X0,X1)) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
? [X1,X2,X0] :
( ~ left_apart_point(X1,X2)
& distinct_points(X0,X1)
& ~ apart_point_and_line(X0,X2)
& left_convergent_lines(X2,line_connecting(X0,X1)) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
~ ! [X1,X2,X0] :
( ( distinct_points(X0,X1)
& ~ apart_point_and_line(X0,X2)
& left_convergent_lines(X2,line_connecting(X0,X1)) )
=> left_apart_point(X1,X2) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X0,X3,X1] :
( ( ~ apart_point_and_line(X0,X1)
& left_convergent_lines(X1,line_connecting(X0,X3))
& distinct_points(X0,X3) )
=> left_apart_point(X3,X1) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X0,X3,X1] :
( ( ~ apart_point_and_line(X0,X1)
& left_convergent_lines(X1,line_connecting(X0,X3))
& distinct_points(X0,X3) )
=> left_apart_point(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO241+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.33 % Computer : n002.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon Aug 29 21:45:43 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.49 % (9085)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.49 % (9108)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)
% 0.20/0.49 % (9100)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)
% 0.20/0.49 % (9101)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.49 % (9101)First to succeed.
% 0.20/0.49 % (9108)Also succeeded, but the first one will report.
% 0.20/0.49 % (9101)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (9101)------------------------------
% 0.20/0.49 % (9101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (9101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (9101)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (9101)Memory used [KB]: 5500
% 0.20/0.49 % (9101)Time elapsed: 0.106 s
% 0.20/0.49 % (9101)Instructions burned: 3 (million)
% 0.20/0.49 % (9101)------------------------------
% 0.20/0.49 % (9101)------------------------------
% 0.20/0.49 % (9078)Success in time 0.149 s
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