TSTP Solution File: GEO242+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO242+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 : n026.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 16:09:28 EDT 2022
% Result : Theorem 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 56 ( 24 ~; 2 |; 26 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 3 ( 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 : 31 ( 19 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f150,plain,
$false,
inference(subsumption_resolution,[],[f136,f147]) ).
fof(f147,plain,
! [X0,X1] : ~ left_convergent_lines(X1,reverse_line(X0)),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( ~ left_convergent_lines(X1,X0)
& ~ left_convergent_lines(X1,reverse_line(X0)) ),
inference(rectify,[],[f90]) ).
fof(f90,plain,
! [X1,X0] :
( ~ left_convergent_lines(X0,X1)
& ~ left_convergent_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X1,X0] :
~ ( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(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(f136,plain,
left_convergent_lines(sK1,reverse_line(line_connecting(sK0,sK2))),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
( ~ left_apart_point(sK2,reverse_line(sK1))
& distinct_points(sK0,sK2)
& left_convergent_lines(sK1,reverse_line(line_connecting(sK0,sK2)))
& ~ apart_point_and_line(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f104,f105]) ).
fof(f105,plain,
( ? [X0,X1,X2] :
( ~ left_apart_point(X2,reverse_line(X1))
& distinct_points(X0,X2)
& left_convergent_lines(X1,reverse_line(line_connecting(X0,X2)))
& ~ apart_point_and_line(X0,X1) )
=> ( ~ left_apart_point(sK2,reverse_line(sK1))
& distinct_points(sK0,sK2)
& left_convergent_lines(sK1,reverse_line(line_connecting(sK0,sK2)))
& ~ apart_point_and_line(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
? [X0,X1,X2] :
( ~ left_apart_point(X2,reverse_line(X1))
& distinct_points(X0,X2)
& left_convergent_lines(X1,reverse_line(line_connecting(X0,X2)))
& ~ apart_point_and_line(X0,X1) ),
inference(rectify,[],[f77]) ).
fof(f77,plain,
? [X2,X0,X1] :
( ~ left_apart_point(X1,reverse_line(X0))
& distinct_points(X2,X1)
& left_convergent_lines(X0,reverse_line(line_connecting(X2,X1)))
& ~ apart_point_and_line(X2,X0) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
? [X1,X2,X0] :
( ~ left_apart_point(X1,reverse_line(X0))
& distinct_points(X2,X1)
& left_convergent_lines(X0,reverse_line(line_connecting(X2,X1)))
& ~ apart_point_and_line(X2,X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
~ ! [X1,X2,X0] :
( ( distinct_points(X2,X1)
& left_convergent_lines(X0,reverse_line(line_connecting(X2,X1)))
& ~ apart_point_and_line(X2,X0) )
=> left_apart_point(X1,reverse_line(X0)) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X1,X3,X0] :
( ( ~ apart_point_and_line(X0,X1)
& left_convergent_lines(X1,reverse_line(line_connecting(X0,X3)))
& distinct_points(X0,X3) )
=> left_apart_point(X3,reverse_line(X1)) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X1,X3,X0] :
( ( ~ apart_point_and_line(X0,X1)
& left_convergent_lines(X1,reverse_line(line_connecting(X0,X3)))
& distinct_points(X0,X3) )
=> left_apart_point(X3,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO242+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n026.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 21:47:35 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.49 % (10829)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.49 % (10821)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.50 % (10838)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.21/0.50 % (10812)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.50 % (10821)First to succeed.
% 0.21/0.50 % (10821)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Theorem for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50 % (10821)------------------------------
% 0.21/0.50 % (10821)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (10821)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (10821)Termination reason: Refutation
% 0.21/0.50
% 0.21/0.50 % (10821)Memory used [KB]: 6012
% 0.21/0.50 % (10821)Time elapsed: 0.003 s
% 0.21/0.50 % (10821)Instructions burned: 3 (million)
% 0.21/0.50 % (10821)------------------------------
% 0.21/0.50 % (10821)------------------------------
% 0.21/0.50 % (10807)Success in time 0.151 s
%------------------------------------------------------------------------------