TSTP Solution File: GEO170+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO170+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 : n014.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 16:12:05 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 44 ( 8 unt; 0 def)
% Number of atoms : 140 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 167 ( 71 ~; 58 |; 26 &)
% ( 0 <=>; 12 =>; 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 88 ( 76 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f127,plain,
$false,
inference(resolution,[],[f123,f65]) ).
fof(f65,plain,
distinct_points(sK1,sK0),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ~ apart_point_and_line(sK1,sK2)
& distinct_lines(sK2,line_connecting(sK1,sK0))
& distinct_points(sK1,sK0)
& ~ apart_point_and_line(sK0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f50,f51]) ).
fof(f51,plain,
( ? [X0,X1,X2] :
( ~ apart_point_and_line(X1,X2)
& distinct_lines(X2,line_connecting(X1,X0))
& distinct_points(X1,X0)
& ~ apart_point_and_line(X0,X2) )
=> ( ~ apart_point_and_line(sK1,sK2)
& distinct_lines(sK2,line_connecting(sK1,sK0))
& distinct_points(sK1,sK0)
& ~ apart_point_and_line(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X1,X2)
& distinct_lines(X2,line_connecting(X1,X0))
& distinct_points(X1,X0)
& ~ apart_point_and_line(X0,X2) ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
? [X1,X2,X0] :
( ~ apart_point_and_line(X2,X0)
& distinct_lines(X0,line_connecting(X2,X1))
& distinct_points(X2,X1)
& ~ apart_point_and_line(X1,X0) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
? [X1,X2,X0] :
( distinct_lines(X0,line_connecting(X2,X1))
& distinct_points(X2,X1)
& ~ apart_point_and_line(X2,X0)
& ~ apart_point_and_line(X1,X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X1,X2,X0] :
( ( distinct_points(X2,X1)
& ~ apart_point_and_line(X2,X0)
& ~ apart_point_and_line(X1,X0) )
=> ~ distinct_lines(X0,line_connecting(X2,X1)) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X2,X1,X0] :
( ( distinct_points(X0,X1)
& ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2) )
=> ~ distinct_lines(X2,line_connecting(X0,X1)) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X2,X1,X0] :
( ( distinct_points(X0,X1)
& ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2) )
=> ~ distinct_lines(X2,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f123,plain,
~ distinct_points(sK1,sK0),
inference(resolution,[],[f120,f66]) ).
fof(f66,plain,
distinct_lines(sK2,line_connecting(sK1,sK0)),
inference(cnf_transformation,[],[f52]) ).
fof(f120,plain,
( ~ distinct_lines(sK2,line_connecting(sK1,sK0))
| ~ distinct_points(sK1,sK0) ),
inference(resolution,[],[f117,f72]) ).
fof(f72,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(f117,plain,
! [X0] :
( distinct_lines(X0,sK2)
| ~ distinct_lines(X0,line_connecting(sK1,sK0))
| ~ distinct_points(sK1,sK0) ),
inference(resolution,[],[f104,f73]) ).
fof(f73,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X0)
| distinct_lines(X2,X0)
| ~ distinct_lines(X2,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X0)
| ~ distinct_lines(X2,X1)
| distinct_lines(X2,X0) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X2,X0,X1] :
( distinct_lines(X0,X2)
| ~ distinct_lines(X1,X0)
| distinct_lines(X1,X2) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X1,X2,X0] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X1,X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X1,X2,X0] :
( distinct_lines(X1,X0)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0,X2] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart5) ).
fof(f104,plain,
( ~ distinct_lines(line_connecting(sK1,sK0),sK2)
| ~ distinct_points(sK1,sK0) ),
inference(duplicate_literal_removal,[],[f103]) ).
fof(f103,plain,
( ~ distinct_lines(line_connecting(sK1,sK0),sK2)
| ~ distinct_points(sK1,sK0)
| ~ distinct_points(sK1,sK0)
| ~ distinct_points(sK1,sK0) ),
inference(resolution,[],[f93,f74]) ).
fof(f74,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,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/sandbox/benchmark/theBenchmark.p',ci2) ).
fof(f93,plain,
! [X0] :
( apart_point_and_line(sK0,line_connecting(sK1,X0))
| ~ distinct_points(sK1,sK0)
| ~ distinct_points(sK1,X0)
| ~ distinct_lines(line_connecting(sK1,X0),sK2) ),
inference(resolution,[],[f89,f60]) ).
fof(f60,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X1,X0] :
( ~ apart_point_and_line(X1,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,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/sandbox/benchmark/theBenchmark.p',ci1) ).
fof(f89,plain,
! [X1] :
( apart_point_and_line(sK1,X1)
| ~ distinct_points(sK1,sK0)
| ~ distinct_lines(X1,sK2)
| apart_point_and_line(sK0,X1) ),
inference(resolution,[],[f86,f67]) ).
fof(f67,plain,
~ apart_point_and_line(sK1,sK2),
inference(cnf_transformation,[],[f52]) ).
fof(f86,plain,
! [X16,X17] :
( apart_point_and_line(X17,sK2)
| ~ distinct_points(X17,sK0)
| apart_point_and_line(X17,X16)
| apart_point_and_line(sK0,X16)
| ~ distinct_lines(X16,sK2) ),
inference(resolution,[],[f70,f64]) ).
fof(f64,plain,
~ apart_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f52]) ).
fof(f70,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X1,X0)
| ~ distinct_lines(X2,X0)
| ~ distinct_points(X3,X1)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X2) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2,X3] :
( ~ distinct_points(X3,X1)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X0)
| ~ distinct_lines(X2,X0)
| apart_point_and_line(X1,X0) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
! [X2,X3,X1,X0] :
( ~ distinct_points(X0,X3)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X1,X2)
| apart_point_and_line(X3,X2) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X1,X2,X3,X0] :
( apart_point_and_line(X3,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X3,X1)
| ~ distinct_points(X0,X3)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X1,X2,X3,X0] :
( ( distinct_points(X0,X3)
& distinct_lines(X1,X2) )
=> ( apart_point_and_line(X3,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X3,X1) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X3,X4,X1] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X0,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO170+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14 % 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 : n014.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 21:24:03 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.50 % (1591)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)
% 0.19/0.52 % (1591)First to succeed.
% 0.19/0.52 % (1583)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (1583)Refutation not found, incomplete strategy% (1583)------------------------------
% 0.19/0.52 % (1583)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (1591)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (1591)------------------------------
% 0.19/0.52 % (1591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (1591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (1591)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (1591)Memory used [KB]: 1023
% 0.19/0.52 % (1591)Time elapsed: 0.106 s
% 0.19/0.52 % (1591)Instructions burned: 4 (million)
% 0.19/0.52 % (1591)------------------------------
% 0.19/0.52 % (1591)------------------------------
% 0.19/0.52 % (1581)Success in time 0.165 s
%------------------------------------------------------------------------------