TSTP Solution File: GEO173+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO173+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 : n007.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 16:08:56 EDT 2022
% Result : Theorem 0.21s 0.56s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 8 unt; 0 def)
% Number of atoms : 107 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 116 ( 40 ~; 34 |; 32 &)
% ( 0 <=>; 10 =>; 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 : 70 ( 54 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f189,plain,
$false,
inference(subsumption_resolution,[],[f173,f116]) ).
fof(f116,plain,
~ apart_point_and_line(sK3,line_connecting(sK0,sK3)),
inference(unit_resulting_resolution,[],[f95,f91]) ).
fof(f91,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X1,X0] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X1,X0] :
( distinct_points(X1,X0)
=> ~ apart_point_and_line(X0,line_connecting(X1,X0)) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci2) ).
fof(f95,plain,
distinct_points(sK0,sK3),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( ~ apart_point_and_line(sK3,sK2)
& distinct_lines(sK2,line_connecting(sK0,sK3))
& convergent_lines(sK2,sK1)
& distinct_points(sK0,sK3)
& ~ apart_point_and_line(sK0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f80,f81]) ).
fof(f81,plain,
( ? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X3,X2)
& distinct_lines(X2,line_connecting(X0,X3))
& convergent_lines(X2,X1)
& distinct_points(X0,X3)
& ~ apart_point_and_line(X0,X2) )
=> ( ~ apart_point_and_line(sK3,sK2)
& distinct_lines(sK2,line_connecting(sK0,sK3))
& convergent_lines(sK2,sK1)
& distinct_points(sK0,sK3)
& ~ apart_point_and_line(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X3,X2)
& distinct_lines(X2,line_connecting(X0,X3))
& convergent_lines(X2,X1)
& distinct_points(X0,X3)
& ~ apart_point_and_line(X0,X2) ),
inference(rectify,[],[f58]) ).
fof(f58,plain,
? [X1,X2,X0,X3] :
( ~ apart_point_and_line(X3,X0)
& distinct_lines(X0,line_connecting(X1,X3))
& convergent_lines(X0,X2)
& distinct_points(X1,X3)
& ~ apart_point_and_line(X1,X0) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
? [X0,X2,X3,X1] :
( ~ apart_point_and_line(X1,X0)
& ~ apart_point_and_line(X3,X0)
& distinct_points(X1,X3)
& distinct_lines(X0,line_connecting(X1,X3))
& convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X0,X2,X3,X1] :
( ( distinct_points(X1,X3)
& distinct_lines(X0,line_connecting(X1,X3))
& convergent_lines(X0,X2) )
=> ( apart_point_and_line(X1,X0)
| apart_point_and_line(X3,X0) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X3,X0,X4,X1] :
( ( convergent_lines(X3,X4)
& distinct_points(X0,X1)
& distinct_lines(X3,line_connecting(X0,X1)) )
=> ( apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X3,X0,X4,X1] :
( ( convergent_lines(X3,X4)
& distinct_points(X0,X1)
& distinct_lines(X3,line_connecting(X0,X1)) )
=> ( apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f173,plain,
apart_point_and_line(sK3,line_connecting(sK0,sK3)),
inference(unit_resulting_resolution,[],[f95,f98,f94,f97,f115,f87]) ).
fof(f87,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X3,X1)
| ~ distinct_points(X0,X3)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1,X2,X3] :
( ~ distinct_lines(X1,X2)
| ~ distinct_points(X0,X3)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X3,X2) ),
inference(rectify,[],[f60]) ).
fof(f60,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X3,X0)
| ~ distinct_points(X2,X1)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X1,X0) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X1,X0,X2,X3] :
( apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X2,X0)
| ~ distinct_lines(X3,X0)
| ~ distinct_points(X2,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X1,X0,X2,X3] :
( ( distinct_lines(X3,X0)
& distinct_points(X2,X1) )
=> ( apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X2,X0) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X4,X1,X0,X3] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f115,plain,
~ apart_point_and_line(sK0,line_connecting(sK0,sK3)),
inference(unit_resulting_resolution,[],[f95,f88]) ).
fof(f88,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( distinct_points(X1,X0)
=> ~ apart_point_and_line(X1,line_connecting(X1,X0)) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci1) ).
fof(f97,plain,
distinct_lines(sK2,line_connecting(sK0,sK3)),
inference(cnf_transformation,[],[f82]) ).
fof(f94,plain,
~ apart_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f82]) ).
fof(f98,plain,
~ apart_point_and_line(sK3,sK2),
inference(cnf_transformation,[],[f82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO173+3 : TPTP v8.1.0. Released v4.0.0.
% 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
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 21:08:45 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.55 % (18422)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.55 % (18426)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.55 % (18421)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 % (18421)First to succeed.
% 0.21/0.55 % (18434)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.21/0.56 % (18430)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.56 % (18442)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.56 % (18429)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)
% 0.21/0.56 % (18438)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.56 % (18421)Refutation found. Thanks to Tanya!
% 0.21/0.56 % SZS status Theorem for theBenchmark
% 0.21/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.56 % (18421)------------------------------
% 0.21/0.56 % (18421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (18421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (18421)Termination reason: Refutation
% 0.21/0.56
% 0.21/0.56 % (18421)Memory used [KB]: 6012
% 0.21/0.56 % (18421)Time elapsed: 0.126 s
% 0.21/0.56 % (18421)Instructions burned: 5 (million)
% 0.21/0.56 % (18421)------------------------------
% 0.21/0.56 % (18421)------------------------------
% 0.21/0.56 % (18413)Success in time 0.203 s
%------------------------------------------------------------------------------