TSTP Solution File: GEO187+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO187+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_sat --cores 0 -t %d %s
% Computer : n018.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 16:12:10 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 8
% Syntax : Number of formulae : 58 ( 10 unt; 0 def)
% Number of atoms : 206 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 242 ( 94 ~; 91 |; 43 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 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 : 121 ( 105 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f178,plain,
$false,
inference(resolution,[],[f174,f59]) ).
fof(f59,plain,
distinct_points(sK0,sK3),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( distinct_points(sK0,sK3)
& ( apart_point_and_line(sK2,line_connecting(sK0,sK3))
| apart_point_and_line(sK1,line_connecting(sK0,sK3)) )
& ~ apart_point_and_line(sK3,line_connecting(sK1,sK2))
& ~ apart_point_and_line(sK0,line_connecting(sK1,sK2))
& distinct_points(sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f44,f45]) ).
fof(f45,plain,
( ? [X0,X1,X2,X3] :
( distinct_points(X0,X3)
& ( apart_point_and_line(X2,line_connecting(X0,X3))
| apart_point_and_line(X1,line_connecting(X0,X3)) )
& ~ apart_point_and_line(X3,line_connecting(X1,X2))
& ~ apart_point_and_line(X0,line_connecting(X1,X2))
& distinct_points(X1,X2) )
=> ( distinct_points(sK0,sK3)
& ( apart_point_and_line(sK2,line_connecting(sK0,sK3))
| apart_point_and_line(sK1,line_connecting(sK0,sK3)) )
& ~ apart_point_and_line(sK3,line_connecting(sK1,sK2))
& ~ apart_point_and_line(sK0,line_connecting(sK1,sK2))
& distinct_points(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
? [X0,X1,X2,X3] :
( distinct_points(X0,X3)
& ( apart_point_and_line(X2,line_connecting(X0,X3))
| apart_point_and_line(X1,line_connecting(X0,X3)) )
& ~ apart_point_and_line(X3,line_connecting(X1,X2))
& ~ apart_point_and_line(X0,line_connecting(X1,X2))
& distinct_points(X1,X2) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
? [X3,X2,X0,X1] :
( distinct_points(X3,X1)
& ( apart_point_and_line(X0,line_connecting(X3,X1))
| apart_point_and_line(X2,line_connecting(X3,X1)) )
& ~ apart_point_and_line(X1,line_connecting(X2,X0))
& ~ apart_point_and_line(X3,line_connecting(X2,X0))
& distinct_points(X2,X0) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
? [X1,X2,X0,X3] :
( ( apart_point_and_line(X0,line_connecting(X3,X1))
| apart_point_and_line(X2,line_connecting(X3,X1)) )
& distinct_points(X3,X1)
& ~ apart_point_and_line(X1,line_connecting(X2,X0))
& ~ apart_point_and_line(X3,line_connecting(X2,X0))
& distinct_points(X2,X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X1,X2,X0,X3] :
( ( distinct_points(X3,X1)
& ~ apart_point_and_line(X1,line_connecting(X2,X0))
& ~ apart_point_and_line(X3,line_connecting(X2,X0))
& distinct_points(X2,X0) )
=> ( ~ apart_point_and_line(X0,line_connecting(X3,X1))
& ~ apart_point_and_line(X2,line_connecting(X3,X1)) ) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X4,X1,X3,X0] :
( ( distinct_points(X3,X4)
& distinct_points(X0,X1)
& ~ apart_point_and_line(X0,line_connecting(X3,X4))
& ~ apart_point_and_line(X1,line_connecting(X3,X4)) )
=> ( ~ apart_point_and_line(X3,line_connecting(X0,X1))
& ~ apart_point_and_line(X4,line_connecting(X0,X1)) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X4,X1,X3,X0] :
( ( distinct_points(X3,X4)
& distinct_points(X0,X1)
& ~ apart_point_and_line(X0,line_connecting(X3,X4))
& ~ apart_point_and_line(X1,line_connecting(X3,X4)) )
=> ( ~ apart_point_and_line(X3,line_connecting(X0,X1))
& ~ apart_point_and_line(X4,line_connecting(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f174,plain,
~ distinct_points(sK0,sK3),
inference(resolution,[],[f169,f55]) ).
fof(f55,plain,
distinct_points(sK1,sK2),
inference(cnf_transformation,[],[f46]) ).
fof(f169,plain,
( ~ distinct_points(sK1,sK2)
| ~ distinct_points(sK0,sK3) ),
inference(duplicate_literal_removal,[],[f168]) ).
fof(f168,plain,
( ~ distinct_points(sK0,sK3)
| ~ distinct_points(sK0,sK3)
| ~ distinct_points(sK1,sK2)
| ~ distinct_points(sK1,sK2) ),
inference(resolution,[],[f152,f149]) ).
fof(f149,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK0,sK3))
| ~ distinct_points(sK0,sK3)
| ~ distinct_points(sK1,sK2) ),
inference(resolution,[],[f124,f87]) ).
fof(f87,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(resolution,[],[f67,f68]) ).
fof(f68,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart1) ).
fof(f67,plain,
! [X2,X0,X1] :
( distinct_points(X2,X1)
| ~ apart_point_and_line(X2,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ( distinct_points(X2,X1)
& distinct_points(X2,X0) )
| ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X2,line_connecting(X1,X0)) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X1,X2,X0] :
( ( distinct_points(X0,X2)
& distinct_points(X0,X1) )
| ~ distinct_points(X2,X1)
| ~ apart_point_and_line(X0,line_connecting(X2,X1)) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ( distinct_points(X0,X2)
& distinct_points(X0,X1) )
| ~ apart_point_and_line(X0,line_connecting(X2,X1))
| ~ distinct_points(X2,X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X2,X0,X1] :
( distinct_points(X2,X1)
=> ( apart_point_and_line(X0,line_connecting(X2,X1))
=> ( distinct_points(X0,X2)
& distinct_points(X0,X1) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X2,X1,X0] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> ( distinct_points(X2,X0)
& distinct_points(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con1) ).
fof(f124,plain,
! [X0] :
( apart_point_and_line(X0,line_connecting(sK1,sK2))
| ~ apart_point_and_line(X0,line_connecting(sK0,sK3))
| ~ distinct_points(sK0,sK3) ),
inference(resolution,[],[f121,f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( distinct_lines(X2,X0)
| ~ apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( distinct_lines(X2,X0)
| ~ apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X2,X1,X0] :
( apart_point_and_line(X1,X0)
| distinct_lines(X2,X0)
| ~ apart_point_and_line(X1,X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X2,X1,X0] :
( apart_point_and_line(X1,X2)
=> ( apart_point_and_line(X1,X0)
| distinct_lines(X2,X0) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X2,X0,X1] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq2) ).
fof(f121,plain,
( ~ distinct_lines(line_connecting(sK0,sK3),line_connecting(sK1,sK2))
| ~ distinct_points(sK0,sK3) ),
inference(resolution,[],[f119,f71]) ).
fof(f71,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ distinct_lines(X1,X0) ),
inference(resolution,[],[f53,f63]) ).
fof(f63,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart2) ).
fof(f53,plain,
! [X2,X0,X1] :
( distinct_lines(X2,X1)
| distinct_lines(X0,X1)
| ~ distinct_lines(X2,X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
| distinct_lines(X2,X1)
| ~ distinct_lines(X2,X0) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X2,X0,X1] :
( distinct_lines(X2,X0)
| distinct_lines(X1,X0)
| ~ distinct_lines(X1,X2) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X1,X2,X0] :
( distinct_lines(X2,X0)
| distinct_lines(X1,X0)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X1,X2,X0] :
( distinct_lines(X1,X2)
=> ( distinct_lines(X2,X0)
| distinct_lines(X1,X0) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart5) ).
fof(f119,plain,
( ~ distinct_lines(line_connecting(sK1,sK2),line_connecting(sK0,sK3))
| ~ distinct_points(sK0,sK3) ),
inference(duplicate_literal_removal,[],[f118]) ).
fof(f118,plain,
( ~ distinct_points(sK0,sK3)
| ~ distinct_points(sK0,sK3)
| ~ distinct_points(sK0,sK3)
| ~ distinct_lines(line_connecting(sK1,sK2),line_connecting(sK0,sK3)) ),
inference(resolution,[],[f110,f87]) ).
fof(f110,plain,
! [X0] :
( apart_point_and_line(sK0,line_connecting(X0,sK3))
| ~ distinct_lines(line_connecting(sK1,sK2),line_connecting(X0,sK3))
| ~ distinct_points(sK0,sK3)
| ~ distinct_points(X0,sK3) ),
inference(resolution,[],[f102,f85]) ).
fof(f85,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(resolution,[],[f66,f68]) ).
fof(f66,plain,
! [X2,X0,X1] :
( distinct_points(X2,X0)
| ~ apart_point_and_line(X2,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f102,plain,
! [X0] :
( apart_point_and_line(sK3,X0)
| ~ distinct_lines(line_connecting(sK1,sK2),X0)
| apart_point_and_line(sK0,X0)
| ~ distinct_points(sK0,sK3) ),
inference(resolution,[],[f90,f56]) ).
fof(f56,plain,
~ apart_point_and_line(sK0,line_connecting(sK1,sK2)),
inference(cnf_transformation,[],[f46]) ).
fof(f90,plain,
! [X2,X3] :
( apart_point_and_line(X3,line_connecting(sK1,sK2))
| ~ distinct_lines(line_connecting(sK1,sK2),X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(sK3,X2)
| ~ distinct_points(X3,sK3) ),
inference(resolution,[],[f64,f57]) ).
fof(f57,plain,
~ apart_point_and_line(sK3,line_connecting(sK1,sK2)),
inference(cnf_transformation,[],[f46]) ).
fof(f64,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X1)
| ~ distinct_points(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X3,X2)
| ~ distinct_points(X0,X3)
| ~ distinct_lines(X2,X1)
| apart_point_and_line(X0,X1) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X0,X2,X3,X1] :
( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X0,X1)
| ~ distinct_lines(X3,X2)
| apart_point_and_line(X0,X2) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X3,X2)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X2,X3,X0,X1] :
( ( distinct_lines(X3,X2)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X4,X3] :
( ( distinct_points(X0,X1)
& distinct_lines(X3,X4) )
=> ( apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
fof(f152,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK3))
| ~ distinct_points(sK1,sK2)
| ~ distinct_points(sK0,sK3) ),
inference(resolution,[],[f148,f58]) ).
fof(f58,plain,
( apart_point_and_line(sK2,line_connecting(sK0,sK3))
| apart_point_and_line(sK1,line_connecting(sK0,sK3)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f148,plain,
( ~ apart_point_and_line(sK2,line_connecting(sK0,sK3))
| ~ distinct_points(sK1,sK2)
| ~ distinct_points(sK0,sK3) ),
inference(resolution,[],[f124,f85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO187+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_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 21:30:09 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 % (20397)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)
% 0.20/0.48 % (20405)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.49 TRYING [1]
% 0.20/0.49 TRYING [2]
% 0.20/0.49 TRYING [3]
% 0.20/0.49 % (20397)First to succeed.
% 0.20/0.49 TRYING [4]
% 0.20/0.50 TRYING [5]
% 0.20/0.50 % (20397)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Theorem for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (20397)------------------------------
% 0.20/0.50 % (20397)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (20397)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (20397)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (20397)Memory used [KB]: 1023
% 0.20/0.50 % (20397)Time elapsed: 0.080 s
% 0.20/0.50 % (20397)Instructions burned: 6 (million)
% 0.20/0.50 % (20397)------------------------------
% 0.20/0.50 % (20397)------------------------------
% 0.20/0.50 % (20387)Success in time 0.145 s
%------------------------------------------------------------------------------