TSTP Solution File: GEO209+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO209+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 : n004.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 16:12:17 EDT 2022
% Result : Theorem 0.17s 0.49s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 30 ( 8 unt; 0 def)
% Number of atoms : 107 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 130 ( 53 ~; 28 |; 42 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 63 ( 47 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f166,plain,
$false,
inference(subsumption_resolution,[],[f160,f67]) ).
fof(f67,plain,
~ convergent_lines(sK0,sK3),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( ~ apart_point_and_line(sK2,sK1)
& apart_point_and_line(sK2,sK3)
& distinct_lines(sK0,sK1)
& ~ apart_point_and_line(sK2,sK0)
& ~ convergent_lines(sK0,sK3)
& ~ convergent_lines(sK1,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f52,f53]) ).
fof(f53,plain,
( ? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X2,X1)
& apart_point_and_line(X2,X3)
& distinct_lines(X0,X1)
& ~ apart_point_and_line(X2,X0)
& ~ convergent_lines(X0,X3)
& ~ convergent_lines(X1,X3) )
=> ( ~ apart_point_and_line(sK2,sK1)
& apart_point_and_line(sK2,sK3)
& distinct_lines(sK0,sK1)
& ~ apart_point_and_line(sK2,sK0)
& ~ convergent_lines(sK0,sK3)
& ~ convergent_lines(sK1,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X2,X1)
& apart_point_and_line(X2,X3)
& distinct_lines(X0,X1)
& ~ apart_point_and_line(X2,X0)
& ~ convergent_lines(X0,X3)
& ~ convergent_lines(X1,X3) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
? [X0,X1,X3,X2] :
( ~ apart_point_and_line(X3,X1)
& apart_point_and_line(X3,X2)
& distinct_lines(X0,X1)
& ~ apart_point_and_line(X3,X0)
& ~ convergent_lines(X0,X2)
& ~ convergent_lines(X1,X2) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
? [X2,X0,X1,X3] :
( distinct_lines(X0,X1)
& apart_point_and_line(X3,X2)
& ~ apart_point_and_line(X3,X1)
& ~ apart_point_and_line(X3,X0)
& ~ convergent_lines(X1,X2)
& ~ convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
~ ! [X2,X0,X1,X3] :
( ( apart_point_and_line(X3,X2)
& ~ apart_point_and_line(X3,X1)
& ~ apart_point_and_line(X3,X0)
& ~ convergent_lines(X1,X2)
& ~ convergent_lines(X0,X2) )
=> ~ distinct_lines(X0,X1) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X7,X8,X6,X5] :
( ( ~ convergent_lines(X8,X6)
& ~ apart_point_and_line(X5,X7)
& apart_point_and_line(X5,X6)
& ~ apart_point_and_line(X5,X8)
& ~ convergent_lines(X7,X6) )
=> ~ distinct_lines(X7,X8) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X7,X8,X6,X5] :
( ( ~ convergent_lines(X8,X6)
& ~ apart_point_and_line(X5,X7)
& apart_point_and_line(X5,X6)
& ~ apart_point_and_line(X5,X8)
& ~ convergent_lines(X7,X6) )
=> ~ distinct_lines(X7,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f160,plain,
convergent_lines(sK0,sK3),
inference(resolution,[],[f136,f66]) ).
fof(f66,plain,
~ convergent_lines(sK1,sK3),
inference(cnf_transformation,[],[f54]) ).
fof(f136,plain,
! [X1] :
( convergent_lines(sK1,X1)
| convergent_lines(sK0,X1) ),
inference(resolution,[],[f134,f75]) ).
fof(f75,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X1)
| convergent_lines(X2,X1)
| ~ convergent_lines(X2,X0) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
! [X1,X2,X0] :
( convergent_lines(X0,X1)
| convergent_lines(X2,X1)
| ~ convergent_lines(X2,X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X1,X2,X0] :
( convergent_lines(X2,X0)
=> ( convergent_lines(X0,X1)
| convergent_lines(X2,X1) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X2,X0] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f134,plain,
convergent_lines(sK0,sK1),
inference(subsumption_resolution,[],[f129,f68]) ).
fof(f68,plain,
~ apart_point_and_line(sK2,sK0),
inference(cnf_transformation,[],[f54]) ).
fof(f129,plain,
( convergent_lines(sK0,sK1)
| apart_point_and_line(sK2,sK0) ),
inference(resolution,[],[f101,f71]) ).
fof(f71,plain,
~ apart_point_and_line(sK2,sK1),
inference(cnf_transformation,[],[f54]) ).
fof(f101,plain,
! [X0] :
( apart_point_and_line(X0,sK1)
| convergent_lines(sK0,sK1)
| apart_point_and_line(X0,sK0) ),
inference(resolution,[],[f84,f69]) ).
fof(f69,plain,
distinct_lines(sK0,sK1),
inference(cnf_transformation,[],[f54]) ).
fof(f84,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X1,X0)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ~ distinct_lines(X1,X0)
| apart_point_and_line(X2,X0)
| convergent_lines(X1,X0)
| apart_point_and_line(X2,X1) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X2,X1,X0] :
( ~ distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| convergent_lines(X1,X2)
| apart_point_and_line(X0,X1) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X2,X1,X0] :
( convergent_lines(X1,X2)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X2,X1,X0] :
( distinct_lines(X1,X2)
=> ( convergent_lines(X1,X2)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cup1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO209+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32 % Computer : n004.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Aug 29 21:24:49 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.47 % (12934)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.17/0.48 % (12933)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.17/0.48 % (12942)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.17/0.48 % (12934)First to succeed.
% 0.17/0.48 % (12925)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.48 TRYING [1]
% 0.17/0.48 % (12926)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.48 TRYING [2]
% 0.17/0.49 TRYING [3]
% 0.17/0.49 % (12934)Refutation found. Thanks to Tanya!
% 0.17/0.49 % SZS status Theorem for theBenchmark
% 0.17/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.49 % (12934)------------------------------
% 0.17/0.49 % (12934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49 % (12934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49 % (12934)Termination reason: Refutation
% 0.17/0.49
% 0.17/0.49 % (12934)Memory used [KB]: 1023
% 0.17/0.49 % (12934)Time elapsed: 0.108 s
% 0.17/0.49 % (12934)Instructions burned: 5 (million)
% 0.17/0.49 % (12934)------------------------------
% 0.17/0.49 % (12934)------------------------------
% 0.17/0.49 % (12917)Success in time 0.165 s
%------------------------------------------------------------------------------