TSTP Solution File: GEO180+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO180+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 : n016.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 16:08:59 EDT 2022
% Result : Theorem 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 39 ( 12 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 77 ( 27 ~; 26 |; 12 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 3 ( 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 : 84 ( 72 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f231,plain,
$false,
inference(resolution,[],[f230,f150]) ).
fof(f150,plain,
! [X0,X1] : ~ apart_point_and_line(X1,parallel_through_point(X0,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] : ~ apart_point_and_line(X1,parallel_through_point(X0,X1)),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X1,X0] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp2) ).
fof(f230,plain,
! [X0] : apart_point_and_line(sK2,parallel_through_point(line_connecting(sK1,sK0),X0)),
inference(resolution,[],[f225,f137]) ).
fof(f137,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X1,X0] : ~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X0] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp1) ).
fof(f225,plain,
! [X2] :
( convergent_lines(X2,line_connecting(sK1,sK0))
| apart_point_and_line(sK2,X2) ),
inference(resolution,[],[f219,f160]) ).
fof(f160,plain,
! [X0,X1] :
( ~ distinct_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ~ distinct_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( distinct_lines(X1,X0)
=> convergent_lines(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f219,plain,
! [X13] :
( distinct_lines(X13,line_connecting(sK1,sK0))
| apart_point_and_line(sK2,X13) ),
inference(resolution,[],[f196,f146]) ).
fof(f146,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart2) ).
fof(f196,plain,
! [X0,X1] :
( distinct_lines(line_connecting(sK1,sK0),X1)
| distinct_lines(X0,X1)
| apart_point_and_line(sK2,X0) ),
inference(resolution,[],[f173,f138]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X1,X2)
| distinct_lines(X1,X0)
| distinct_lines(X2,X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X0)
| ~ distinct_lines(X1,X2)
| distinct_lines(X2,X0) ),
inference(rectify,[],[f90]) ).
fof(f90,plain,
! [X2,X0,X1] :
( distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1)
| distinct_lines(X1,X2) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X0,X2,X1] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X2,X1] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart5) ).
fof(f173,plain,
! [X1] :
( distinct_lines(line_connecting(sK1,sK0),X1)
| apart_point_and_line(sK2,X1) ),
inference(resolution,[],[f131,f153]) ).
fof(f153,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2)
| distinct_lines(X0,X2) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X1,X0)
| distinct_lines(X0,X2)
| apart_point_and_line(X1,X2) ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X2)
| distinct_lines(X2,X1)
| apart_point_and_line(X0,X1) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0,X1,X2] :
( distinct_lines(X2,X1)
| apart_point_and_line(X0,X1)
| ~ apart_point_and_line(X0,X2) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
=> ( distinct_lines(X2,X1)
| apart_point_and_line(X0,X1) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X0,X2,X1] :
( apart_point_and_line(X0,X1)
=> ( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq2) ).
fof(f131,plain,
apart_point_and_line(sK2,line_connecting(sK1,sK0)),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK2,sK0))
& distinct_points(sK1,sK0)
& apart_point_and_line(sK2,line_connecting(sK1,sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f102,f103]) ).
fof(f103,plain,
( ? [X0,X1,X2] :
( ~ apart_point_and_line(X1,line_connecting(X2,X0))
& distinct_points(X1,X0)
& apart_point_and_line(X2,line_connecting(X1,X0)) )
=> ( ~ apart_point_and_line(sK1,line_connecting(sK2,sK0))
& distinct_points(sK1,sK0)
& apart_point_and_line(sK2,line_connecting(sK1,sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X1,line_connecting(X2,X0))
& distinct_points(X1,X0)
& apart_point_and_line(X2,line_connecting(X1,X0)) ),
inference(rectify,[],[f70]) ).
fof(f70,plain,
? [X2,X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X2))
& distinct_points(X0,X2)
& apart_point_and_line(X1,line_connecting(X0,X2)) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
? [X2,X1,X0] :
( ~ apart_point_and_line(X0,line_connecting(X1,X2))
& apart_point_and_line(X1,line_connecting(X0,X2))
& distinct_points(X0,X2) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X2,X1,X0] :
( distinct_points(X0,X2)
=> ( apart_point_and_line(X1,line_connecting(X0,X2))
=> apart_point_and_line(X0,line_connecting(X1,X2)) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X2,X1] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> apart_point_and_line(X0,line_connecting(X2,X1)) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X2,X1] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> apart_point_and_line(X0,line_connecting(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO180+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % 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 : n016.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 21:47:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 % (31396)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.47 % (31412)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.47 % (31405)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.48 % (31407)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)
% 0.20/0.48 % (31407)First to succeed.
% 0.20/0.48 % (31407)Refutation found. Thanks to Tanya!
% 0.20/0.48 % SZS status Theorem for theBenchmark
% 0.20/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48 % (31407)------------------------------
% 0.20/0.48 % (31407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (31407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (31407)Termination reason: Refutation
% 0.20/0.48
% 0.20/0.48 % (31407)Memory used [KB]: 6140
% 0.20/0.48 % (31407)Time elapsed: 0.085 s
% 0.20/0.48 % (31407)Instructions burned: 4 (million)
% 0.20/0.48 % (31407)------------------------------
% 0.20/0.48 % (31407)------------------------------
% 0.20/0.48 % (31390)Success in time 0.131 s
%------------------------------------------------------------------------------