TSTP Solution File: GEO241+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n019.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 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% Number of atoms : 46 ( 1 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 44 ( 16 ~; 2 |; 21 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 34 ( 22 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f180,plain,
$false,
inference(resolution,[],[f155,f179]) ).
fof(f179,plain,
left_convergent_lines(sK1,sF3),
inference(definition_folding,[],[f144,f178]) ).
fof(f178,plain,
line_connecting(sK0,sK2) = sF3,
introduced(function_definition,[]) ).
fof(f144,plain,
left_convergent_lines(sK1,line_connecting(sK0,sK2)),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
( ~ left_apart_point(sK2,sK1)
& distinct_points(sK0,sK2)
& left_convergent_lines(sK1,line_connecting(sK0,sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f117,f118]) ).
fof(f118,plain,
( ? [X0,X1,X2] :
( ~ left_apart_point(X2,X1)
& distinct_points(X0,X2)
& left_convergent_lines(X1,line_connecting(X0,X2)) )
=> ( ~ left_apart_point(sK2,sK1)
& distinct_points(sK0,sK2)
& left_convergent_lines(sK1,line_connecting(sK0,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
? [X0,X1,X2] :
( ~ left_apart_point(X2,X1)
& distinct_points(X0,X2)
& left_convergent_lines(X1,line_connecting(X0,X2)) ),
inference(rectify,[],[f97]) ).
fof(f97,plain,
? [X0,X2,X1] :
( ~ left_apart_point(X1,X2)
& distinct_points(X0,X1)
& left_convergent_lines(X2,line_connecting(X0,X1)) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
? [X0,X2,X1] :
( ~ left_apart_point(X1,X2)
& left_convergent_lines(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,plain,
~ ! [X0,X2,X1] :
( ( left_convergent_lines(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> left_apart_point(X1,X2) ),
inference(pure_predicate_removal,[],[f65]) ).
fof(f65,plain,
~ ! [X0,X2,X1] :
( ( left_convergent_lines(X2,line_connecting(X0,X1))
& distinct_points(X0,X1)
& incident_point_and_line(X0,X2) )
=> left_apart_point(X1,X2) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X2,X5,X3] :
( ( 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,
! [X2,X5,X3] :
( ( 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/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f155,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,X1)
& ~ left_convergent_lines(X0,reverse_line(X1)) ),
inference(rectify,[],[f102]) ).
fof(f102,plain,
! [X1,X0] :
( ~ left_convergent_lines(X1,X0)
& ~ left_convergent_lines(X1,reverse_line(X0)) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
~ ( left_convergent_lines(X1,reverse_line(X0))
| left_convergent_lines(X1,X0) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X4,X3] :
~ ( left_convergent_lines(X3,reverse_line(X4))
| left_convergent_lines(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11_basics) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO241+3 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 21:36:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.51 % (4298)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)
% 0.20/0.51 % (4295)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.51 % (4296)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (4300)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (4285)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.51 % (4285)First to succeed.
% 0.20/0.51 % (4307)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.51 % (4292)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.51 % (4298)Also succeeded, but the first one will report.
% 0.20/0.52 % (4285)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (4285)------------------------------
% 0.20/0.52 % (4285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (4285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (4285)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (4285)Memory used [KB]: 6012
% 0.20/0.52 % (4285)Time elapsed: 0.109 s
% 0.20/0.52 % (4285)Instructions burned: 2 (million)
% 0.20/0.52 % (4285)------------------------------
% 0.20/0.52 % (4285)------------------------------
% 0.20/0.52 % (4284)Success in time 0.168 s
%------------------------------------------------------------------------------