TSTP Solution File: GEO241+3 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO241+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : n005.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 0.50s
% 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 : 39 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 38 ( 13 ~; 2 |; 18 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 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 ( 20 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f177,plain,
$false,
inference(resolution,[],[f165,f143]) ).
fof(f143,plain,
left_convergent_lines(sK0,line_connecting(sK1,sK2)),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( ~ left_apart_point(sK2,sK0)
& left_convergent_lines(sK0,line_connecting(sK1,sK2))
& distinct_points(sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f104,f116]) ).
fof(f116,plain,
( ? [X0,X1,X2] :
( ~ left_apart_point(X2,X0)
& left_convergent_lines(X0,line_connecting(X1,X2))
& distinct_points(X1,X2) )
=> ( ~ left_apart_point(sK2,sK0)
& left_convergent_lines(sK0,line_connecting(sK1,sK2))
& distinct_points(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
? [X0,X1,X2] :
( ~ left_apart_point(X2,X0)
& left_convergent_lines(X0,line_connecting(X1,X2))
& distinct_points(X1,X2) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
? [X1,X2,X0] :
( ~ left_apart_point(X2,X0)
& left_convergent_lines(X0,line_connecting(X1,X2))
& distinct_points(X1,X2) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,plain,
~ ! [X1,X2,X0] :
( ( left_convergent_lines(X0,line_connecting(X1,X2))
& distinct_points(X1,X2) )
=> left_apart_point(X2,X0) ),
inference(pure_predicate_removal,[],[f40]) ).
fof(f40,plain,
~ ! [X1,X2,X0] :
( ( left_convergent_lines(X0,line_connecting(X1,X2))
& distinct_points(X1,X2)
& incident_point_and_line(X1,X0) )
=> left_apart_point(X2,X0) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X3,X2,X5] :
( ( left_convergent_lines(X3,line_connecting(X2,X5))
& distinct_points(X2,X5)
& incident_point_and_line(X2,X3) )
=> left_apart_point(X5,X3) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X3,X2,X5] :
( ( left_convergent_lines(X3,line_connecting(X2,X5))
& distinct_points(X2,X5)
& incident_point_and_line(X2,X3) )
=> left_apart_point(X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f165,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,X1)
& ~ left_convergent_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,plain,
! [X1,X0] :
~ ( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X3,X4] :
~ ( left_convergent_lines(X3,reverse_line(X4))
| left_convergent_lines(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11_basics) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO241+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n005.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 21:33:18 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (15862)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (15862)First to succeed.
% 0.20/0.50 % (15870)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.50 % (15862)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Theorem for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (15862)------------------------------
% 0.20/0.50 % (15862)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (15862)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (15862)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (15862)Memory used [KB]: 1023
% 0.20/0.50 % (15862)Time elapsed: 0.073 s
% 0.20/0.50 % (15862)Instructions burned: 3 (million)
% 0.20/0.50 % (15862)------------------------------
% 0.20/0.50 % (15862)------------------------------
% 0.20/0.50 % (15852)Success in time 0.149 s
%------------------------------------------------------------------------------