TSTP Solution File: GEO173+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO173+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_sat --cores 0 -t %d %s
% Computer : n006.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 16:12:06 EDT 2022
% Result : Theorem 1.45s 0.54s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of formulae : 42 ( 11 unt; 0 def)
% Number of atoms : 136 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 144 ( 50 ~; 53 |; 32 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 80 ( 64 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f383,plain,
$false,
inference(subsumption_resolution,[],[f380,f176]) ).
fof(f176,plain,
distinct_points(sK0,sK1),
inference(literal_reordering,[],[f166]) ).
fof(f166,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
( distinct_points(sK0,sK1)
& ~ apart_point_and_line(sK1,sK3)
& ~ apart_point_and_line(sK0,sK3)
& convergent_lines(sK3,sK2)
& distinct_lines(sK3,line_connecting(sK0,sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f122,f123]) ).
fof(f123,plain,
( ? [X0,X1,X2,X3] :
( distinct_points(X0,X1)
& ~ apart_point_and_line(X1,X3)
& ~ apart_point_and_line(X0,X3)
& convergent_lines(X3,X2)
& distinct_lines(X3,line_connecting(X0,X1)) )
=> ( distinct_points(sK0,sK1)
& ~ apart_point_and_line(sK1,sK3)
& ~ apart_point_and_line(sK0,sK3)
& convergent_lines(sK3,sK2)
& distinct_lines(sK3,line_connecting(sK0,sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
? [X0,X1,X2,X3] :
( distinct_points(X0,X1)
& ~ apart_point_and_line(X1,X3)
& ~ apart_point_and_line(X0,X3)
& convergent_lines(X3,X2)
& distinct_lines(X3,line_connecting(X0,X1)) ),
inference(rectify,[],[f104]) ).
fof(f104,plain,
? [X2,X3,X0,X1] :
( distinct_points(X2,X3)
& ~ apart_point_and_line(X3,X1)
& ~ apart_point_and_line(X2,X1)
& convergent_lines(X1,X0)
& distinct_lines(X1,line_connecting(X2,X3)) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
? [X3,X0,X1,X2] :
( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X3,X1)
& distinct_lines(X1,line_connecting(X2,X3))
& convergent_lines(X1,X0)
& distinct_points(X2,X3) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
~ ! [X3,X0,X1,X2] :
( ( distinct_lines(X1,line_connecting(X2,X3))
& convergent_lines(X1,X0)
& distinct_points(X2,X3) )
=> ( apart_point_and_line(X2,X1)
| apart_point_and_line(X3,X1) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X4,X3,X0,X1] :
( ( distinct_points(X0,X1)
& distinct_lines(X3,line_connecting(X0,X1))
& convergent_lines(X3,X4) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X3) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X4,X3,X0,X1] :
( ( distinct_points(X0,X1)
& distinct_lines(X3,line_connecting(X0,X1))
& convergent_lines(X3,X4) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f380,plain,
~ distinct_points(sK0,sK1),
inference(resolution,[],[f379,f208]) ).
fof(f208,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(literal_reordering,[],[f152]) ).
fof(f152,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
inference(rectify,[],[f98]) ).
fof(f98,plain,
! [X1,X0] :
( ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X1,line_connecting(X1,X0)) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,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/sandbox2/benchmark/theBenchmark.p',ci1) ).
fof(f379,plain,
apart_point_and_line(sK0,line_connecting(sK0,sK1)),
inference(subsumption_resolution,[],[f376,f176]) ).
fof(f376,plain,
( ~ distinct_points(sK0,sK1)
| apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
inference(resolution,[],[f269,f205]) ).
fof(f205,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(literal_reordering,[],[f153]) ).
fof(f153,plain,
! [X0,X1] :
( ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X0,line_connecting(X1,X0)) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(rectify,[],[f70]) ).
fof(f70,plain,
! [X1,X0] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(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(f269,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
inference(subsumption_resolution,[],[f268,f212]) ).
fof(f212,plain,
~ apart_point_and_line(sK1,sK3),
inference(literal_reordering,[],[f165]) ).
fof(f165,plain,
~ apart_point_and_line(sK1,sK3),
inference(cnf_transformation,[],[f124]) ).
fof(f268,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| apart_point_and_line(sK1,sK3)
| apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
inference(subsumption_resolution,[],[f265,f192]) ).
fof(f192,plain,
~ apart_point_and_line(sK0,sK3),
inference(literal_reordering,[],[f164]) ).
fof(f164,plain,
~ apart_point_and_line(sK0,sK3),
inference(cnf_transformation,[],[f124]) ).
fof(f265,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,sK3)
| apart_point_and_line(sK1,line_connecting(sK0,sK1))
| apart_point_and_line(sK1,sK3) ),
inference(resolution,[],[f263,f196]) ).
fof(f196,plain,
distinct_lines(sK3,line_connecting(sK0,sK1)),
inference(literal_reordering,[],[f162]) ).
fof(f162,plain,
distinct_lines(sK3,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f124]) ).
fof(f263,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| apart_point_and_line(sK1,X1)
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sK1,X0)
| apart_point_and_line(sK0,X1) ),
inference(resolution,[],[f210,f176]) ).
fof(f210,plain,
! [X2,X3,X0,X1] :
( ~ distinct_points(X0,X1)
| ~ distinct_lines(X3,X2)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X2) ),
inference(literal_reordering,[],[f139]) ).
fof(f139,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X0,X2)
| ~ distinct_points(X0,X1)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3)
| ~ distinct_lines(X3,X2) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2,X3] :
( ~ distinct_lines(X3,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X0,X1)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2) ),
inference(rectify,[],[f82]) ).
fof(f82,plain,
! [X2,X0,X3,X1] :
( ~ distinct_lines(X1,X3)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X0,X1)
| ~ distinct_points(X2,X0)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X0,X3) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X1,X0,X2,X3] :
( apart_point_and_line(X2,X1)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X2,X3)
| ~ distinct_lines(X1,X3)
| ~ distinct_points(X2,X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X1,X0,X2,X3] :
( ( distinct_lines(X1,X3)
& distinct_points(X2,X0) )
=> ( apart_point_and_line(X2,X1)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X2,X3) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X3,X0,X4] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO173+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : n006.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 21:22:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (22314)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)
% 0.20/0.49 % (22292)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 % (22296)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.50 % (22297)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)
% 0.20/0.51 % (22299)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51 % (22304)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)
% 0.20/0.51 % (22289)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)
% 0.20/0.52 % (22296)Instruction limit reached!
% 0.20/0.52 % (22296)------------------------------
% 0.20/0.52 % (22296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (22296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (22296)Termination reason: Unknown
% 0.20/0.52 % (22296)Termination phase: Blocked clause elimination
% 0.20/0.52
% 0.20/0.52 % (22296)Memory used [KB]: 895
% 0.20/0.52 % (22296)Time elapsed: 0.003 s
% 0.20/0.52 % (22296)Instructions burned: 3 (million)
% 0.20/0.52 % (22296)------------------------------
% 0.20/0.52 % (22296)------------------------------
% 0.20/0.52 % (22293)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.52 % (22290)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)
% 0.20/0.52 % (22314)First to succeed.
% 0.20/0.52 % (22315)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.52 % (22317)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.53 % (22308)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.53 % (22291)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (22302)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)
% 1.45/0.53 % (22295)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.45/0.53 % (22309)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.45/0.53 % (22289)Refutation not found, incomplete strategy% (22289)------------------------------
% 1.45/0.53 % (22289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.53 % (22289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.53 % (22289)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.53
% 1.45/0.53 % (22289)Memory used [KB]: 5500
% 1.45/0.53 % (22289)Time elapsed: 0.125 s
% 1.45/0.53 % (22289)Instructions burned: 3 (million)
% 1.45/0.53 % (22289)------------------------------
% 1.45/0.53 % (22289)------------------------------
% 1.45/0.53 % (22295)Instruction limit reached!
% 1.45/0.53 % (22295)------------------------------
% 1.45/0.53 % (22295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.53 % (22295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.53 % (22295)Termination reason: Unknown
% 1.45/0.53 % (22295)Termination phase: Saturation
% 1.45/0.53
% 1.45/0.53 % (22295)Memory used [KB]: 5500
% 1.45/0.53 % (22295)Time elapsed: 0.125 s
% 1.45/0.53 % (22295)Instructions burned: 8 (million)
% 1.45/0.53 % (22295)------------------------------
% 1.45/0.53 % (22295)------------------------------
% 1.45/0.53 % (22306)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.45/0.54 % (22314)Refutation found. Thanks to Tanya!
% 1.45/0.54 % SZS status Theorem for theBenchmark
% 1.45/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.45/0.54 % (22314)------------------------------
% 1.45/0.54 % (22314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54 % (22314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54 % (22314)Termination reason: Refutation
% 1.45/0.54
% 1.45/0.54 % (22314)Memory used [KB]: 5884
% 1.45/0.54 % (22314)Time elapsed: 0.014 s
% 1.45/0.54 % (22314)Instructions burned: 16 (million)
% 1.45/0.54 % (22314)------------------------------
% 1.45/0.54 % (22314)------------------------------
% 1.45/0.54 % (22287)Success in time 0.185 s
%------------------------------------------------------------------------------