TSTP Solution File: GEO182+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO182+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 : 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 16:09:00 EDT 2022
% Result : Theorem 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 40 ( 16 unt; 0 def)
% Number of atoms : 86 ( 1 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 77 ( 31 ~; 22 |; 12 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 87 ( 75 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f248,plain,
$false,
inference(resolution,[],[f245,f176]) ).
fof(f176,plain,
apart_point_and_line(sK0,sF4),
inference(definition_folding,[],[f169,f175]) ).
fof(f175,plain,
line_connecting(sK2,sK1) = sF4,
introduced(function_definition,[]) ).
fof(f169,plain,
apart_point_and_line(sK0,line_connecting(sK2,sK1)),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
( ~ apart_point_and_line(sK0,line_connecting(sK1,sK2))
& apart_point_and_line(sK0,line_connecting(sK2,sK1))
& distinct_points(sK2,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f125,f126]) ).
fof(f126,plain,
( ? [X0,X1,X2] :
( ~ apart_point_and_line(X0,line_connecting(X1,X2))
& apart_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X2,X1) )
=> ( ~ apart_point_and_line(sK0,line_connecting(sK1,sK2))
& apart_point_and_line(sK0,line_connecting(sK2,sK1))
& distinct_points(sK2,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X0,line_connecting(X1,X2))
& apart_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X2,X1) ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
? [X1,X2,X0] :
( ~ apart_point_and_line(X1,line_connecting(X2,X0))
& apart_point_and_line(X1,line_connecting(X0,X2))
& distinct_points(X0,X2) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
? [X2,X1,X0] :
( ~ apart_point_and_line(X1,line_connecting(X2,X0))
& apart_point_and_line(X1,line_connecting(X0,X2))
& distinct_points(X0,X2) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
~ ! [X2,X1,X0] :
( distinct_points(X0,X2)
=> ( apart_point_and_line(X1,line_connecting(X0,X2))
=> apart_point_and_line(X1,line_connecting(X2,X0)) ) ),
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(X2,line_connecting(X1,X0)) ) ),
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(X2,line_connecting(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f245,plain,
! [X0,X1] : ~ apart_point_and_line(X0,X1),
inference(resolution,[],[f244,f213]) ).
fof(f213,plain,
! [X3,X4,X5] :
( distinct_lines(X3,parallel_through_point(X4,X5))
| ~ apart_point_and_line(X5,X3) ),
inference(resolution,[],[f145,f150]) ).
fof(f150,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(rectify,[],[f44]) ).
fof(f44,plain,
! [X1,X0] : ~ 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/sandbox/benchmark/theBenchmark.p',cp2) ).
fof(f145,plain,
! [X2,X0,X1] :
( apart_point_and_line(X2,X1)
| distinct_lines(X0,X1)
| ~ apart_point_and_line(X2,X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X2,X0)
| distinct_lines(X0,X1) ),
inference(rectify,[],[f95]) ).
fof(f95,plain,
! [X0,X2,X1] :
( apart_point_and_line(X1,X2)
| ~ apart_point_and_line(X1,X0)
| distinct_lines(X0,X2) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X0,X1,X2] :
( apart_point_and_line(X1,X2)
| distinct_lines(X0,X2)
| ~ apart_point_and_line(X1,X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1,X2] :
( apart_point_and_line(X1,X0)
=> ( apart_point_and_line(X1,X2)
| distinct_lines(X0,X2) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X0,X2] :
( 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(f244,plain,
! [X2,X1] : ~ distinct_lines(X1,parallel_through_point(X1,X2)),
inference(resolution,[],[f237,f178]) ).
fof(f178,plain,
! [X2,X1] : ~ distinct_lines(parallel_through_point(X1,X2),X1),
inference(resolution,[],[f135,f160]) ).
fof(f160,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1] : ~ 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/sandbox/benchmark/theBenchmark.p',cp1) ).
fof(f135,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f237,plain,
! [X0,X1] :
( distinct_lines(X1,X0)
| ~ distinct_lines(X0,X1) ),
inference(resolution,[],[f154,f164]) ).
fof(f164,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(f154,plain,
! [X2,X0,X1] :
( distinct_lines(X2,X1)
| ~ distinct_lines(X2,X0)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ~ distinct_lines(X2,X0)
| distinct_lines(X0,X1)
| distinct_lines(X2,X1) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X2,X1,X0] :
( distinct_lines(X2,X1)
| distinct_lines(X0,X1)
| ~ distinct_lines(X2,X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X2,X1,X0] :
( distinct_lines(X2,X0)
=> ( distinct_lines(X2,X1)
| distinct_lines(X0,X1) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X2,X0] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO182+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
% 0.12/0.34 % Computer : n018.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 21:29:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.21/0.45 % (16824)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.47 % (16824)First to succeed.
% 0.21/0.48 % (16848)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)
% 0.21/0.49 % (16824)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Theorem for theBenchmark
% 0.21/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49 % (16824)------------------------------
% 0.21/0.49 % (16824)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (16824)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (16824)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (16824)Memory used [KB]: 6012
% 0.21/0.49 % (16824)Time elapsed: 0.073 s
% 0.21/0.49 % (16824)Instructions burned: 6 (million)
% 0.21/0.49 % (16824)------------------------------
% 0.21/0.49 % (16824)------------------------------
% 0.21/0.49 % (16823)Success in time 0.138 s
%------------------------------------------------------------------------------