TSTP Solution File: GEO185+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO185+1 : 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_sat --cores 0 -t %d %s
% Computer : n023.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 16:12:09 EDT 2022
% Result : Theorem 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 4 unt; 0 def)
% Number of atoms : 99 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 112 ( 46 ~; 29 |; 27 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 68 ( 52 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f161,plain,
$false,
inference(resolution,[],[f146,f63]) ).
fof(f63,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( ( apart_point_and_line(sK2,sK0)
| apart_point_and_line(sK2,sK1) )
& ~ distinct_points(sK2,intersection_point(sK0,sK1))
& distinct_points(sK2,sK3)
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f51,f52]) ).
fof(f52,plain,
( ? [X0,X1,X2,X3] :
( ( apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1) )
& ~ distinct_points(X2,intersection_point(X0,X1))
& distinct_points(X2,X3)
& convergent_lines(X0,X1) )
=> ( ( apart_point_and_line(sK2,sK0)
| apart_point_and_line(sK2,sK1) )
& ~ distinct_points(sK2,intersection_point(sK0,sK1))
& distinct_points(sK2,sK3)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
? [X0,X1,X2,X3] :
( ( apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1) )
& ~ distinct_points(X2,intersection_point(X0,X1))
& distinct_points(X2,X3)
& convergent_lines(X0,X1) ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
? [X1,X3,X0,X2] :
( ( apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X3) )
& ~ distinct_points(X0,intersection_point(X1,X3))
& distinct_points(X0,X2)
& convergent_lines(X1,X3) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
? [X0,X1,X2,X3] :
( ( apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X3) )
& distinct_points(X0,X2)
& convergent_lines(X1,X3)
& ~ distinct_points(X0,intersection_point(X1,X3)) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
~ ! [X0,X1,X2,X3] :
( ( distinct_points(X0,X2)
& convergent_lines(X1,X3)
& ~ distinct_points(X0,intersection_point(X1,X3)) )
=> ( ~ apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X0,X3) ) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X0,X3,X1,X4] :
( ( ~ distinct_points(X0,intersection_point(X3,X4))
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(X0,X4)
& ~ apart_point_and_line(X0,X3) ) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X0,X3,X1,X4] :
( ( ~ distinct_points(X0,intersection_point(X3,X4))
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(X0,X4)
& ~ apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f146,plain,
~ convergent_lines(sK0,sK1),
inference(duplicate_literal_removal,[],[f145]) ).
fof(f145,plain,
( ~ convergent_lines(sK0,sK1)
| ~ convergent_lines(sK0,sK1) ),
inference(resolution,[],[f141,f134]) ).
fof(f134,plain,
( ~ apart_point_and_line(sK2,sK0)
| ~ convergent_lines(sK0,sK1) ),
inference(resolution,[],[f88,f65]) ).
fof(f65,plain,
~ distinct_points(sK2,intersection_point(sK0,sK1)),
inference(cnf_transformation,[],[f53]) ).
fof(f88,plain,
! [X8,X6,X7] :
( distinct_points(X6,intersection_point(X7,X8))
| ~ apart_point_and_line(X6,X7)
| ~ convergent_lines(X7,X8) ),
inference(resolution,[],[f70,f67]) ).
fof(f67,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X1)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X1)
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( convergent_lines(X1,X0)
=> ~ apart_point_and_line(intersection_point(X1,X0),X1) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci3) ).
fof(f70,plain,
! [X2,X0,X1] :
( apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X0,X1)
| distinct_points(X0,X2) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X2,X1,X0] :
( ~ apart_point_and_line(X2,X1)
| apart_point_and_line(X0,X1)
| distinct_points(X2,X0) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X2,X1,X0] :
( distinct_points(X2,X0)
| apart_point_and_line(X0,X1)
| ~ apart_point_and_line(X2,X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X2,X1,X0] :
( apart_point_and_line(X2,X1)
=> ( distinct_points(X2,X0)
| apart_point_and_line(X0,X1) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X2,X1,X0] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq1) ).
fof(f141,plain,
( apart_point_and_line(sK2,sK0)
| ~ convergent_lines(sK0,sK1) ),
inference(resolution,[],[f136,f66]) ).
fof(f66,plain,
( apart_point_and_line(sK2,sK1)
| apart_point_and_line(sK2,sK0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f136,plain,
( ~ apart_point_and_line(sK2,sK1)
| ~ convergent_lines(sK0,sK1) ),
inference(resolution,[],[f89,f65]) ).
fof(f89,plain,
! [X10,X11,X9] :
( distinct_points(X9,intersection_point(X11,X10))
| ~ apart_point_and_line(X9,X10)
| ~ convergent_lines(X11,X10) ),
inference(resolution,[],[f70,f71]) ).
fof(f71,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X0)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X0)
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X1,X0] :
( convergent_lines(X1,X0)
=> ~ apart_point_and_line(intersection_point(X1,X0),X0) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO185+1 : 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_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 21:46:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.47 % (1596)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.47 % (1596)First to succeed.
% 0.18/0.48 % (1604)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.48 % (1596)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Theorem for theBenchmark
% 0.18/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48 % (1596)------------------------------
% 0.18/0.48 % (1596)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48 % (1596)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48 % (1596)Termination reason: Refutation
% 0.18/0.48
% 0.18/0.48 % (1596)Memory used [KB]: 1023
% 0.18/0.48 % (1596)Time elapsed: 0.069 s
% 0.18/0.48 % (1596)Instructions burned: 5 (million)
% 0.18/0.48 % (1596)------------------------------
% 0.18/0.48 % (1596)------------------------------
% 0.18/0.48 % (1586)Success in time 0.137 s
%------------------------------------------------------------------------------