TSTP Solution File: GEO172+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO172+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 : n029.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 1.52s 0.58s
% Output : Refutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 47 ( 12 unt; 0 def)
% Number of atoms : 140 ( 1 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 148 ( 55 ~; 59 |; 24 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 85 ( 73 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f165,plain,
$false,
inference(subsumption_resolution,[],[f164,f75]) ).
fof(f75,plain,
~ apart_point_and_line(sK0,sK1),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ~ apart_point_and_line(sK0,sK1)
& ~ apart_point_and_line(sK0,sK2)
& distinct_points(sK0,intersection_point(sK1,sK2))
& convergent_lines(sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f55,f56]) ).
fof(f56,plain,
( ? [X0,X1,X2] :
( ~ apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,intersection_point(X1,X2))
& convergent_lines(X1,X2) )
=> ( ~ apart_point_and_line(sK0,sK1)
& ~ apart_point_and_line(sK0,sK2)
& distinct_points(sK0,intersection_point(sK1,sK2))
& convergent_lines(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,intersection_point(X1,X2))
& convergent_lines(X1,X2) ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
? [X2,X0,X1] :
( ~ apart_point_and_line(X2,X0)
& ~ apart_point_and_line(X2,X1)
& distinct_points(X2,intersection_point(X0,X1))
& convergent_lines(X0,X1) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
? [X2,X1,X0] :
( distinct_points(X2,intersection_point(X0,X1))
& ~ apart_point_and_line(X2,X0)
& convergent_lines(X0,X1)
& ~ apart_point_and_line(X2,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X2,X1,X0] :
( ( ~ apart_point_and_line(X2,X0)
& convergent_lines(X0,X1)
& ~ apart_point_and_line(X2,X1) )
=> ~ distinct_points(X2,intersection_point(X0,X1)) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X2,X1,X0] :
( ( ~ apart_point_and_line(X2,X0)
& convergent_lines(X0,X1)
& ~ apart_point_and_line(X2,X1) )
=> ~ distinct_points(X2,intersection_point(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f164,plain,
apart_point_and_line(sK0,sK1),
inference(subsumption_resolution,[],[f158,f64]) ).
fof(f64,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart3) ).
fof(f158,plain,
( convergent_lines(sK1,sK1)
| apart_point_and_line(sK0,sK1) ),
inference(resolution,[],[f154,f79]) ).
fof(f79,plain,
~ apart_point_and_line(sF3,sK1),
inference(subsumption_resolution,[],[f78,f72]) ).
fof(f72,plain,
convergent_lines(sK1,sK2),
inference(cnf_transformation,[],[f57]) ).
fof(f78,plain,
( ~ convergent_lines(sK1,sK2)
| ~ apart_point_and_line(sF3,sK1) ),
inference(superposition,[],[f59,f76]) ).
fof(f76,plain,
sF3 = intersection_point(sK1,sK2),
introduced(function_definition,[]) ).
fof(f59,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X1)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( ~ convergent_lines(X1,X0)
| ~ apart_point_and_line(intersection_point(X1,X0),X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( convergent_lines(X1,X0)
=> ~ apart_point_and_line(intersection_point(X1,X0),X1) ),
inference(rectify,[],[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(f154,plain,
! [X0] :
( apart_point_and_line(sF3,X0)
| convergent_lines(sK1,X0)
| apart_point_and_line(sK0,X0) ),
inference(subsumption_resolution,[],[f153,f81]) ).
fof(f81,plain,
~ apart_point_and_line(sF3,sK2),
inference(subsumption_resolution,[],[f80,f72]) ).
fof(f80,plain,
( ~ apart_point_and_line(sF3,sK2)
| ~ convergent_lines(sK1,sK2) ),
inference(superposition,[],[f61,f76]) ).
fof(f61,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X0)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ~ convergent_lines(X1,X0)
| ~ apart_point_and_line(intersection_point(X1,X0),X0) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X1,X0] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci4) ).
fof(f153,plain,
! [X0] :
( apart_point_and_line(sF3,sK2)
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sF3,X0)
| convergent_lines(sK1,X0) ),
inference(subsumption_resolution,[],[f147,f74]) ).
fof(f74,plain,
~ apart_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f57]) ).
fof(f147,plain,
! [X0] :
( apart_point_and_line(sK0,sK2)
| apart_point_and_line(sF3,X0)
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sF3,sK2)
| convergent_lines(sK1,X0) ),
inference(resolution,[],[f90,f77]) ).
fof(f77,plain,
distinct_points(sK0,sF3),
inference(definition_folding,[],[f73,f76]) ).
fof(f73,plain,
distinct_points(sK0,intersection_point(sK1,sK2)),
inference(cnf_transformation,[],[f57]) ).
fof(f90,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,X1)
| apart_point_and_line(X1,sK2)
| apart_point_and_line(X0,X2)
| convergent_lines(sK1,X2)
| apart_point_and_line(X0,sK2)
| apart_point_and_line(X1,X2) ),
inference(resolution,[],[f68,f82]) ).
fof(f82,plain,
! [X0] :
( distinct_lines(sK2,X0)
| convergent_lines(sK1,X0) ),
inference(resolution,[],[f62,f72]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
! [X0,X2,X1] :
( distinct_lines(X2,X1)
| ~ convergent_lines(X0,X2)
| convergent_lines(X0,X1) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X0,X2,X1] :
( distinct_lines(X2,X1)
| convergent_lines(X0,X1)
| ~ convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X2,X1] :
( convergent_lines(X0,X2)
=> ( distinct_lines(X2,X1)
| convergent_lines(X0,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X0,X2,X1] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).
fof(f68,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X3,X0)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X1,X2)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X3) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| ~ distinct_points(X1,X2)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X2,X0)
| ~ distinct_lines(X3,X0) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
! [X3,X0,X2,X1] :
( apart_point_and_line(X0,X1)
| ~ distinct_points(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X3)
| ~ distinct_lines(X1,X3) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0,X3,X2,X1] :
( apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X2,X3)
| ~ distinct_points(X0,X2)
| ~ distinct_lines(X1,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X3,X2,X1] :
( ( distinct_points(X0,X2)
& distinct_lines(X1,X3) )
=> ( apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X2,X3) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X3,X1,X4] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO172+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 21:33:11 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.55 % (11560)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)
% 0.20/0.55 % (11552)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)
% 0.20/0.55 TRYING [1]
% 0.20/0.55 TRYING [2]
% 0.20/0.55 TRYING [3]
% 0.20/0.55 % (11554)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55 % (11553)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 TRYING [4]
% 0.20/0.55 % (11554)Instruction limit reached!
% 0.20/0.55 % (11554)------------------------------
% 0.20/0.55 % (11554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (11554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (11554)Termination reason: Unknown
% 0.20/0.55 % (11554)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (11554)Memory used [KB]: 5373
% 0.20/0.55 % (11554)Time elapsed: 0.003 s
% 0.20/0.55 % (11554)Instructions burned: 2 (million)
% 0.20/0.55 % (11554)------------------------------
% 0.20/0.55 % (11554)------------------------------
% 0.20/0.55 % (11562)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 TRYING [5]
% 0.20/0.55 % (11553)Instruction limit reached!
% 0.20/0.55 % (11553)------------------------------
% 0.20/0.55 % (11553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (11570)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.56 % (11569)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)
% 0.20/0.56 % (11561)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)
% 0.20/0.56 % (11568)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.57 % (11553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (11553)Termination reason: Unknown
% 0.20/0.57 % (11553)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (11553)Memory used [KB]: 5500
% 0.20/0.57 % (11553)Time elapsed: 0.121 s
% 0.20/0.57 % (11553)Instructions burned: 7 (million)
% 0.20/0.57 % (11553)------------------------------
% 0.20/0.57 % (11553)------------------------------
% 1.52/0.58 % (11570)First to succeed.
% 1.52/0.58 % (11570)Refutation found. Thanks to Tanya!
% 1.52/0.58 % SZS status Theorem for theBenchmark
% 1.52/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.52/0.58 % (11570)------------------------------
% 1.52/0.58 % (11570)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.58 % (11570)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.58 % (11570)Termination reason: Refutation
% 1.52/0.58
% 1.52/0.58 % (11570)Memory used [KB]: 5500
% 1.52/0.58 % (11570)Time elapsed: 0.138 s
% 1.52/0.58 % (11570)Instructions burned: 8 (million)
% 1.52/0.58 % (11570)------------------------------
% 1.52/0.58 % (11570)------------------------------
% 1.52/0.58 % (11545)Success in time 0.218 s
%------------------------------------------------------------------------------