TSTP Solution File: GEO203+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO203+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 : n005.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 16:12:15 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 49 ( 15 unt; 0 def)
% Number of atoms : 131 ( 3 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 130 ( 48 ~; 49 |; 23 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 70 ( 61 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f128,plain,
$false,
inference(subsumption_resolution,[],[f127,f82]) ).
fof(f82,plain,
~ apart_point_and_line(sF4,sF5),
inference(subsumption_resolution,[],[f81,f80]) ).
fof(f80,plain,
distinct_points(sF3,sF4),
inference(definition_folding,[],[f72,f77,f76]) ).
fof(f76,plain,
sF3 = intersection_point(sK1,sK0),
introduced(function_definition,[]) ).
fof(f77,plain,
intersection_point(sK1,sK2) = sF4,
introduced(function_definition,[]) ).
fof(f72,plain,
distinct_points(intersection_point(sK1,sK0),intersection_point(sK1,sK2)),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( convergent_lines(sK1,sK2)
& distinct_lines(line_connecting(intersection_point(sK1,sK0),intersection_point(sK1,sK2)),sK1)
& convergent_lines(sK1,sK0)
& distinct_points(intersection_point(sK1,sK0),intersection_point(sK1,sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f33,f56]) ).
fof(f56,plain,
( ? [X0,X1,X2] :
( convergent_lines(X1,X2)
& distinct_lines(line_connecting(intersection_point(X1,X0),intersection_point(X1,X2)),X1)
& convergent_lines(X1,X0)
& distinct_points(intersection_point(X1,X0),intersection_point(X1,X2)) )
=> ( convergent_lines(sK1,sK2)
& distinct_lines(line_connecting(intersection_point(sK1,sK0),intersection_point(sK1,sK2)),sK1)
& convergent_lines(sK1,sK0)
& distinct_points(intersection_point(sK1,sK0),intersection_point(sK1,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
? [X0,X1,X2] :
( convergent_lines(X1,X2)
& distinct_lines(line_connecting(intersection_point(X1,X0),intersection_point(X1,X2)),X1)
& convergent_lines(X1,X0)
& distinct_points(intersection_point(X1,X0),intersection_point(X1,X2)) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
? [X0,X1,X2] :
( distinct_lines(line_connecting(intersection_point(X1,X0),intersection_point(X1,X2)),X1)
& convergent_lines(X1,X0)
& convergent_lines(X1,X2)
& distinct_points(intersection_point(X1,X0),intersection_point(X1,X2)) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
~ ! [X0,X1,X2] :
( ( convergent_lines(X1,X0)
& convergent_lines(X1,X2)
& distinct_points(intersection_point(X1,X0),intersection_point(X1,X2)) )
=> ~ distinct_lines(line_connecting(intersection_point(X1,X0),intersection_point(X1,X2)),X1) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X1,X0,X2] :
( ( distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
& convergent_lines(X0,X2)
& convergent_lines(X0,X1) )
=> ~ distinct_lines(line_connecting(intersection_point(X0,X1),intersection_point(X0,X2)),X0) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X1,X0,X2] :
( ( distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
& convergent_lines(X0,X2)
& convergent_lines(X0,X1) )
=> ~ distinct_lines(line_connecting(intersection_point(X0,X1),intersection_point(X0,X2)),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f81,plain,
( ~ apart_point_and_line(sF4,sF5)
| ~ distinct_points(sF3,sF4) ),
inference(superposition,[],[f61,f78]) ).
fof(f78,plain,
sF5 = line_connecting(sF3,sF4),
introduced(function_definition,[]) ).
fof(f61,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X0,line_connecting(X1,X0)) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
! [X1,X0] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci2) ).
fof(f127,plain,
apart_point_and_line(sF4,sF5),
inference(subsumption_resolution,[],[f126,f92]) ).
fof(f92,plain,
~ apart_point_and_line(sF3,sF5),
inference(subsumption_resolution,[],[f91,f80]) ).
fof(f91,plain,
( ~ apart_point_and_line(sF3,sF5)
| ~ distinct_points(sF3,sF4) ),
inference(superposition,[],[f70,f78]) ).
fof(f70,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
! [X1,X0] :
( ~ apart_point_and_line(X1,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X1,X0] :
( 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/sandbox2/benchmark/theBenchmark.p',ci1) ).
fof(f126,plain,
( apart_point_and_line(sF3,sF5)
| apart_point_and_line(sF4,sF5) ),
inference(subsumption_resolution,[],[f125,f90]) ).
fof(f90,plain,
~ apart_point_and_line(sF4,sK1),
inference(subsumption_resolution,[],[f88,f75]) ).
fof(f75,plain,
convergent_lines(sK1,sK2),
inference(cnf_transformation,[],[f57]) ).
fof(f88,plain,
( ~ apart_point_and_line(sF4,sK1)
| ~ convergent_lines(sK1,sK2) ),
inference(superposition,[],[f68,f77]) ).
fof(f68,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X1)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ convergent_lines(X1,X0)
| ~ apart_point_and_line(intersection_point(X1,X0),X1) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
! [X1,X0] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci3) ).
fof(f125,plain,
( apart_point_and_line(sF4,sK1)
| apart_point_and_line(sF3,sF5)
| apart_point_and_line(sF4,sF5) ),
inference(subsumption_resolution,[],[f123,f89]) ).
fof(f89,plain,
~ apart_point_and_line(sF3,sK1),
inference(subsumption_resolution,[],[f87,f73]) ).
fof(f73,plain,
convergent_lines(sK1,sK0),
inference(cnf_transformation,[],[f57]) ).
fof(f87,plain,
( ~ convergent_lines(sK1,sK0)
| ~ apart_point_and_line(sF3,sK1) ),
inference(superposition,[],[f68,f76]) ).
fof(f123,plain,
( apart_point_and_line(sF3,sK1)
| apart_point_and_line(sF3,sF5)
| apart_point_and_line(sF4,sF5)
| apart_point_and_line(sF4,sK1) ),
inference(resolution,[],[f99,f80]) ).
fof(f99,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| apart_point_and_line(X1,sF5)
| apart_point_and_line(X1,sK1)
| apart_point_and_line(X0,sK1)
| apart_point_and_line(X0,sF5) ),
inference(resolution,[],[f62,f79]) ).
fof(f79,plain,
distinct_lines(sF5,sK1),
inference(definition_folding,[],[f74,f78,f77,f76]) ).
fof(f74,plain,
distinct_lines(line_connecting(intersection_point(sK1,sK0),intersection_point(sK1,sK2)),sK1),
inference(cnf_transformation,[],[f57]) ).
fof(f62,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X1,X3)
| ~ distinct_points(X0,X2)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X2,X3)
| ~ distinct_lines(X1,X3)
| ~ distinct_points(X0,X2)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X2,X1) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X1,X2,X3,X0] :
( apart_point_and_line(X3,X0)
| ~ distinct_lines(X2,X0)
| ~ distinct_points(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X3,X2) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X2,X0,X3,X1] :
( apart_point_and_line(X3,X0)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X2)
| ~ distinct_points(X1,X3)
| ~ distinct_lines(X2,X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X2,X0,X3,X1] :
( ( distinct_points(X1,X3)
& distinct_lines(X2,X0) )
=> ( apart_point_and_line(X3,X0)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X4,X0,X3,X1] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO203+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n005.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 21:40:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % (9474)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.49 % (9464)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.49 % (9466)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (9481)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.50 % (9481)First to succeed.
% 0.20/0.50 % (9466)Also succeeded, but the first one will report.
% 0.20/0.50 % (9481)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 % (9481)------------------------------
% 0.20/0.50 % (9481)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (9481)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (9481)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (9481)Memory used [KB]: 5500
% 0.20/0.50 % (9481)Time elapsed: 0.108 s
% 0.20/0.50 % (9481)Instructions burned: 4 (million)
% 0.20/0.50 % (9481)------------------------------
% 0.20/0.50 % (9481)------------------------------
% 0.20/0.50 % (9460)Success in time 0.153 s
%------------------------------------------------------------------------------