TSTP Solution File: GEO193+2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO193+2 : TPTP v8.1.0. Released v3.3.0.
% 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 : n001.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 16:09:06 EDT 2022
% Result : Theorem 1.65s 0.58s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 13 unt; 0 def)
% Number of atoms : 125 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 125 ( 38 ~; 41 |; 31 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 75 ( 66 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f221,plain,
$false,
inference(subsumption_resolution,[],[f209,f96]) ).
fof(f96,plain,
distinct_points(intersection_point(sK0,sK2),intersection_point(sK1,sK2)),
inference(unit_resulting_resolution,[],[f64,f61,f55]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X2)
| distinct_points(X0,intersection_point(X2,X1))
| ~ convergent_lines(X2,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ( ~ apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X0,X2) )
| ~ convergent_lines(X2,X1)
| distinct_points(X0,intersection_point(X2,X1)) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X1,X2,X0] :
( ( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X1,X0) )
| ~ convergent_lines(X0,X2)
| distinct_points(X1,intersection_point(X0,X2)) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X0,X2,X1] :
( distinct_points(X1,intersection_point(X0,X2))
| ( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X1,X0) )
| ~ convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X2,X1] :
( convergent_lines(X0,X2)
=> ( ( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0) )
=> distinct_points(X1,intersection_point(X0,X2)) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X2,X1] :
( convergent_lines(X0,X1)
=> ( ( apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1) )
=> distinct_points(X2,intersection_point(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con2) ).
fof(f61,plain,
apart_point_and_line(intersection_point(sK0,sK2),sK1),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ~ apart_point_and_line(intersection_point(sK1,sK2),sK0)
& convergent_lines(sK1,sK2)
& convergent_lines(sK0,sK2)
& convergent_lines(sK0,sK1)
& apart_point_and_line(intersection_point(sK0,sK2),sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f27,f47]) ).
fof(f47,plain,
( ? [X0,X1,X2] :
( ~ apart_point_and_line(intersection_point(X1,X2),X0)
& convergent_lines(X1,X2)
& convergent_lines(X0,X2)
& convergent_lines(X0,X1)
& apart_point_and_line(intersection_point(X0,X2),X1) )
=> ( ~ apart_point_and_line(intersection_point(sK1,sK2),sK0)
& convergent_lines(sK1,sK2)
& convergent_lines(sK0,sK2)
& convergent_lines(sK0,sK1)
& apart_point_and_line(intersection_point(sK0,sK2),sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(intersection_point(X1,X2),X0)
& convergent_lines(X1,X2)
& convergent_lines(X0,X2)
& convergent_lines(X0,X1)
& apart_point_and_line(intersection_point(X0,X2),X1) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
? [X2,X1,X0] :
( ~ apart_point_and_line(intersection_point(X1,X2),X0)
& apart_point_and_line(intersection_point(X0,X2),X1)
& convergent_lines(X0,X2)
& convergent_lines(X0,X1)
& convergent_lines(X1,X2) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X2,X1,X0] :
( ( convergent_lines(X0,X2)
& convergent_lines(X0,X1)
& convergent_lines(X1,X2) )
=> ( apart_point_and_line(intersection_point(X0,X2),X1)
=> apart_point_and_line(intersection_point(X1,X2),X0) ) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X2,X1] :
( ( convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) )
=> ( apart_point_and_line(intersection_point(X0,X1),X2)
=> apart_point_and_line(intersection_point(X2,X1),X0) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X2,X1] :
( ( convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) )
=> ( apart_point_and_line(intersection_point(X0,X1),X2)
=> apart_point_and_line(intersection_point(X2,X1),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f64,plain,
convergent_lines(sK1,sK2),
inference(cnf_transformation,[],[f48]) ).
fof(f209,plain,
~ distinct_points(intersection_point(sK0,sK2),intersection_point(sK1,sK2)),
inference(unit_resulting_resolution,[],[f78,f77,f83,f65,f86,f58]) ).
fof(f58,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X0,X2)
| ~ distinct_points(X0,X3)
| apart_point_and_line(X3,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X0,X1)
| ~ distinct_points(X0,X3)
| ~ distinct_lines(X1,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X2) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X1,X0,X3,X2] :
( apart_point_and_line(X1,X0)
| ~ distinct_points(X1,X2)
| ~ distinct_lines(X0,X3)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X1,X3) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X2,X3)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X1,X2)
| ~ distinct_lines(X0,X3) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2,X3] :
( ( distinct_points(X1,X2)
& distinct_lines(X0,X3) )
=> ( apart_point_and_line(X2,X3)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X1,X3) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X3,X0,X1,X4] :
( ( distinct_points(X0,X1)
& distinct_lines(X3,X4) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X1,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f86,plain,
~ apart_point_and_line(intersection_point(sK1,sK2),sK2),
inference(unit_resulting_resolution,[],[f49,f64,f56]) ).
fof(f56,plain,
! [X2,X0,X1] :
( distinct_points(X0,intersection_point(X2,X1))
| ~ convergent_lines(X2,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f49,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart1) ).
fof(f65,plain,
~ apart_point_and_line(intersection_point(sK1,sK2),sK0),
inference(cnf_transformation,[],[f48]) ).
fof(f83,plain,
distinct_lines(sK0,sK2),
inference(resolution,[],[f63,f53]) ).
fof(f53,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X1,X0] :
( distinct_lines(X1,X0)
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( convergent_lines(X1,X0)
=> distinct_lines(X1,X0) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).
fof(f63,plain,
convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f48]) ).
fof(f77,plain,
~ apart_point_and_line(intersection_point(sK0,sK2),sK2),
inference(unit_resulting_resolution,[],[f49,f63,f56]) ).
fof(f78,plain,
~ apart_point_and_line(intersection_point(sK0,sK2),sK0),
inference(unit_resulting_resolution,[],[f49,f63,f55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO193+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % 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 : n001.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 21:48:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.56 % (21027)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)
% 0.19/0.57 % (21019)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)
% 0.19/0.57 % (21018)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.57 % (21019)First to succeed.
% 1.65/0.58 % (21027)Instruction limit reached!
% 1.65/0.58 % (21027)------------------------------
% 1.65/0.58 % (21027)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.58 % (21035)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.65/0.58 % (21019)Refutation found. Thanks to Tanya!
% 1.65/0.58 % SZS status Theorem for theBenchmark
% 1.65/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.65/0.58 % (21019)------------------------------
% 1.65/0.58 % (21019)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.58 % (21019)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.58 % (21019)Termination reason: Refutation
% 1.65/0.58
% 1.65/0.58 % (21019)Memory used [KB]: 6012
% 1.65/0.58 % (21019)Time elapsed: 0.153 s
% 1.65/0.58 % (21019)Instructions burned: 8 (million)
% 1.65/0.58 % (21019)------------------------------
% 1.65/0.58 % (21019)------------------------------
% 1.65/0.58 % (21011)Success in time 0.23 s
%------------------------------------------------------------------------------