TSTP Solution File: GEO186+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO186+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 : n003.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 16:09:02 EDT 2022
% Result : Theorem 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 37 ( 11 unt; 0 def)
% Number of atoms : 128 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 144 ( 53 ~; 41 |; 38 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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; 4 con; 0-2 aty)
% Number of variables : 85 ( 69 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f135,plain,
$false,
inference(subsumption_resolution,[],[f125,f68]) ).
fof(f68,plain,
~ apart_point_and_line(intersection_point(sK1,sK3),sK1),
inference(unit_resulting_resolution,[],[f52,f55,f51]) ).
fof(f51,plain,
! [X2,X0,X1] :
( distinct_points(X0,intersection_point(X2,X1))
| ~ apart_point_and_line(X0,X2)
| ~ convergent_lines(X2,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X2,X1)
| ( ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1) )
| distinct_points(X0,intersection_point(X2,X1)) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X1,X0)
| ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0) )
| distinct_points(X2,intersection_point(X1,X0)) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( distinct_points(X2,intersection_point(X1,X0))
| ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0) )
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X0)
=> ( ( apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1) )
=> distinct_points(X2,intersection_point(X1,X0)) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0,X2] :
( 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(f55,plain,
convergent_lines(sK1,sK3),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( distinct_points(sK0,sK2)
& ~ apart_point_and_line(sK0,sK3)
& ~ apart_point_and_line(sK0,sK1)
& distinct_points(sK0,intersection_point(sK1,sK3))
& convergent_lines(sK1,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f43,f44]) ).
fof(f44,plain,
( ? [X0,X1,X2,X3] :
( distinct_points(X0,X2)
& ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X1)
& distinct_points(X0,intersection_point(X1,X3))
& convergent_lines(X1,X3) )
=> ( distinct_points(sK0,sK2)
& ~ apart_point_and_line(sK0,sK3)
& ~ apart_point_and_line(sK0,sK1)
& distinct_points(sK0,intersection_point(sK1,sK3))
& convergent_lines(sK1,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
? [X0,X1,X2,X3] :
( distinct_points(X0,X2)
& ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X1)
& distinct_points(X0,intersection_point(X1,X3))
& convergent_lines(X1,X3) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
? [X1,X0,X3,X2] :
( distinct_points(X1,X3)
& ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X1,X0)
& distinct_points(X1,intersection_point(X0,X2))
& convergent_lines(X0,X2) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
? [X2,X3,X0,X1] :
( distinct_points(X1,intersection_point(X0,X2))
& convergent_lines(X0,X2)
& ~ apart_point_and_line(X1,X0)
& ~ apart_point_and_line(X1,X2)
& distinct_points(X1,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X2,X3,X0,X1] :
( ( convergent_lines(X0,X2)
& ~ apart_point_and_line(X1,X0)
& ~ apart_point_and_line(X1,X2)
& distinct_points(X1,X3) )
=> ~ distinct_points(X1,intersection_point(X0,X2)) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X3,X0,X4,X1] :
( ( distinct_points(X0,X1)
& ~ apart_point_and_line(X0,X3)
& convergent_lines(X3,X4)
& ~ apart_point_and_line(X0,X4) )
=> ~ distinct_points(X0,intersection_point(X3,X4)) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X3,X0,X4,X1] :
( ( distinct_points(X0,X1)
& ~ apart_point_and_line(X0,X3)
& convergent_lines(X3,X4)
& ~ apart_point_and_line(X0,X4) )
=> ~ distinct_points(X0,intersection_point(X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f52,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(f125,plain,
apart_point_and_line(intersection_point(sK1,sK3),sK1),
inference(unit_resulting_resolution,[],[f57,f69,f58,f56,f67,f61]) ).
fof(f61,plain,
! [X2,X3,X0,X1] :
( ~ distinct_points(X2,X0)
| apart_point_and_line(X0,X3)
| ~ distinct_lines(X3,X1)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X3)
| ~ distinct_points(X2,X0)
| ~ distinct_lines(X3,X1)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X0,X3) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X1,X2,X3,X0] :
( apart_point_and_line(X1,X2)
| apart_point_and_line(X3,X0)
| ~ distinct_points(X3,X1)
| ~ distinct_lines(X0,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X0) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X3,X2,X0,X1] :
( apart_point_and_line(X3,X0)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0)
| ~ distinct_lines(X0,X2)
| ~ distinct_points(X3,X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X3,X2,X0,X1] :
( ( distinct_lines(X0,X2)
& distinct_points(X3,X1) )
=> ( apart_point_and_line(X3,X0)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X3,X1,X4,X0] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X0,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f67,plain,
~ apart_point_and_line(intersection_point(sK1,sK3),sK3),
inference(unit_resulting_resolution,[],[f52,f55,f50]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| distinct_points(X0,intersection_point(X2,X1))
| ~ convergent_lines(X2,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f56,plain,
distinct_points(sK0,intersection_point(sK1,sK3)),
inference(cnf_transformation,[],[f45]) ).
fof(f58,plain,
~ apart_point_and_line(sK0,sK3),
inference(cnf_transformation,[],[f45]) ).
fof(f69,plain,
distinct_lines(sK1,sK3),
inference(unit_resulting_resolution,[],[f55,f54]) ).
fof(f54,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(rectify,[],[f31]) ).
fof(f31,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(f57,plain,
~ apart_point_and_line(sK0,sK1),
inference(cnf_transformation,[],[f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO186+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % 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 : n003.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 21:26:22 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.53 % (13170)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)
% 0.21/0.54 % (13177)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)
% 0.21/0.54 % (13178)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)
% 0.21/0.54 % (13161)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)
% 0.21/0.54 % (13162)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)
% 0.21/0.55 % (13162)First to succeed.
% 0.21/0.55 % (13162)Refutation found. Thanks to Tanya!
% 0.21/0.55 % SZS status Theorem for theBenchmark
% 0.21/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55 % (13162)------------------------------
% 0.21/0.55 % (13162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (13162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (13162)Termination reason: Refutation
% 0.21/0.55
% 0.21/0.55 % (13162)Memory used [KB]: 5884
% 0.21/0.55 % (13162)Time elapsed: 0.120 s
% 0.21/0.55 % (13162)Instructions burned: 3 (million)
% 0.21/0.55 % (13162)------------------------------
% 0.21/0.55 % (13162)------------------------------
% 0.21/0.55 % (13154)Success in time 0.196 s
%------------------------------------------------------------------------------