TSTP Solution File: GEO195+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO195+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_uns --cores 0 -t %d %s
% Computer : n008.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 16:09:07 EDT 2022
% Result : Theorem 2.19s 0.64s
% Output : Refutation 2.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 41 ( 15 unt; 0 def)
% Number of atoms : 105 ( 1 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 96 ( 32 ~; 26 |; 28 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 89 ( 77 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f330,plain,
$false,
inference(resolution,[],[f323,f177]) ).
fof(f177,plain,
apart_point_and_line(sF4,sK1),
inference(definition_folding,[],[f136,f176]) ).
fof(f176,plain,
sF4 = intersection_point(sK0,sK2),
introduced(function_definition,[]) ).
fof(f136,plain,
apart_point_and_line(intersection_point(sK0,sK2),sK1),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( convergent_lines(sK1,sK2)
& convergent_lines(sK0,sK2)
& convergent_lines(sK0,sK1)
& ~ apart_point_and_line(intersection_point(sK2,sK0),sK1)
& apart_point_and_line(intersection_point(sK0,sK2),sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f108,f109]) ).
fof(f109,plain,
( ? [X0,X1,X2] :
( convergent_lines(X1,X2)
& convergent_lines(X0,X2)
& convergent_lines(X0,X1)
& ~ apart_point_and_line(intersection_point(X2,X0),X1)
& apart_point_and_line(intersection_point(X0,X2),X1) )
=> ( convergent_lines(sK1,sK2)
& convergent_lines(sK0,sK2)
& convergent_lines(sK0,sK1)
& ~ apart_point_and_line(intersection_point(sK2,sK0),sK1)
& apart_point_and_line(intersection_point(sK0,sK2),sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
? [X0,X1,X2] :
( convergent_lines(X1,X2)
& convergent_lines(X0,X2)
& convergent_lines(X0,X1)
& ~ apart_point_and_line(intersection_point(X2,X0),X1)
& apart_point_and_line(intersection_point(X0,X2),X1) ),
inference(rectify,[],[f102]) ).
fof(f102,plain,
? [X0,X2,X1] :
( convergent_lines(X2,X1)
& convergent_lines(X0,X1)
& convergent_lines(X0,X2)
& ~ apart_point_and_line(intersection_point(X1,X0),X2)
& apart_point_and_line(intersection_point(X0,X1),X2) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
? [X0,X2,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X2)
& apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X1)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X2,X1] :
( ( convergent_lines(X0,X1)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1) )
=> ( apart_point_and_line(intersection_point(X0,X1),X2)
=> apart_point_and_line(intersection_point(X1,X0),X2) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X2,X1] :
( ( convergent_lines(X0,X1)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1) )
=> ( apart_point_and_line(intersection_point(X0,X1),X2)
=> apart_point_and_line(intersection_point(X1,X0),X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f323,plain,
! [X0,X1] : ~ apart_point_and_line(X0,X1),
inference(resolution,[],[f250,f221]) ).
fof(f221,plain,
! [X2,X1] : ~ distinct_lines(X1,parallel_through_point(X1,X2)),
inference(resolution,[],[f206,f181]) ).
fof(f181,plain,
! [X2,X1] : ~ distinct_lines(parallel_through_point(X1,X2),X1),
inference(resolution,[],[f148,f158]) ).
fof(f158,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X0] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp1) ).
fof(f148,plain,
! [X0,X1] :
( convergent_lines(X1,X0)
| ~ distinct_lines(X1,X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( ~ distinct_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X1,X0] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f206,plain,
! [X3,X4] :
( distinct_lines(X3,X4)
| ~ distinct_lines(X4,X3) ),
inference(resolution,[],[f200,f148]) ).
fof(f200,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X1,X0) ),
inference(resolution,[],[f131,f147]) ).
fof(f147,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart3) ).
fof(f131,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X0)
| ~ convergent_lines(X1,X2)
| distinct_lines(X2,X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X0)
| distinct_lines(X2,X0)
| ~ convergent_lines(X1,X2) ),
inference(rectify,[],[f98]) ).
fof(f98,plain,
! [X0,X2,X1] :
( convergent_lines(X2,X0)
| distinct_lines(X1,X0)
| ~ convergent_lines(X2,X1) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X1,X2,X0] :
( distinct_lines(X1,X0)
| convergent_lines(X2,X0)
| ~ convergent_lines(X2,X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X1,X2,X0] :
( convergent_lines(X2,X1)
=> ( distinct_lines(X1,X0)
| convergent_lines(X2,X0) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X2,X1,X0] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
fof(f250,plain,
! [X3,X4,X5] :
( distinct_lines(X4,parallel_through_point(X5,X3))
| ~ apart_point_and_line(X3,X4) ),
inference(resolution,[],[f153,f170]) ).
fof(f170,plain,
! [X0,X1] : ~ apart_point_and_line(X1,parallel_through_point(X0,X1)),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] : ~ apart_point_and_line(X1,parallel_through_point(X0,X1)),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X1,X0] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp2) ).
fof(f153,plain,
! [X2,X0,X1] :
( apart_point_and_line(X1,X0)
| ~ apart_point_and_line(X1,X2)
| distinct_lines(X2,X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X1,X2)
| distinct_lines(X2,X0)
| apart_point_and_line(X1,X0) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
! [X1,X2,X0] :
( ~ apart_point_and_line(X2,X0)
| distinct_lines(X0,X1)
| apart_point_and_line(X2,X1) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_lines(X0,X1)
| ~ apart_point_and_line(X2,X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X0)
=> ( apart_point_and_line(X2,X1)
| distinct_lines(X0,X1) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X2,X0] :
( apart_point_and_line(X0,X1)
=> ( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO195+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 21:30:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.57 % (26848)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.57 % (26849)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.57 % (26864)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.58 % (26865)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.58 % (26856)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.58 % (26841)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.58 % (26848)Refutation not found, incomplete strategy% (26848)------------------------------
% 0.19/0.58 % (26848)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (26857)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.58 % (26848)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (26848)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.58
% 0.19/0.58 % (26848)Memory used [KB]: 5884
% 0.19/0.58 % (26848)Time elapsed: 0.158 s
% 0.19/0.58 % (26848)Instructions burned: 2 (million)
% 0.19/0.58 % (26848)------------------------------
% 0.19/0.58 % (26848)------------------------------
% 0.19/0.59 % (26856)Instruction limit reached!
% 0.19/0.59 % (26856)------------------------------
% 0.19/0.59 % (26856)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (26856)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (26856)Termination reason: Unknown
% 0.19/0.59 % (26856)Termination phase: Saturation
% 0.19/0.59
% 0.19/0.59 % (26856)Memory used [KB]: 6012
% 0.19/0.59 % (26856)Time elapsed: 0.160 s
% 0.19/0.59 % (26856)Instructions burned: 7 (million)
% 0.19/0.59 % (26856)------------------------------
% 0.19/0.59 % (26856)------------------------------
% 2.00/0.61 % (26841)First to succeed.
% 2.00/0.61 % (26863)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 2.00/0.62 % (26855)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 2.00/0.62 % (26855)Instruction limit reached!
% 2.00/0.62 % (26855)------------------------------
% 2.00/0.62 % (26855)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.62 % (26855)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.62 % (26855)Termination reason: Unknown
% 2.00/0.62 % (26855)Termination phase: Saturation
% 2.00/0.62
% 2.00/0.62 % (26855)Memory used [KB]: 6012
% 2.00/0.62 % (26855)Time elapsed: 0.203 s
% 2.00/0.62 % (26855)Instructions burned: 4 (million)
% 2.00/0.62 % (26855)------------------------------
% 2.00/0.62 % (26855)------------------------------
% 2.00/0.62 % (26858)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 2.00/0.63 % (26847)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 2.00/0.63 % (26866)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 2.19/0.63 % (26843)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 2.19/0.63 % (26846)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 2.19/0.63 % (26845)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 2.19/0.64 % (26850)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 2.19/0.64 % (26841)Refutation found. Thanks to Tanya!
% 2.19/0.64 % SZS status Theorem for theBenchmark
% 2.19/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 2.19/0.64 % (26841)------------------------------
% 2.19/0.64 % (26841)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.64 % (26841)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.64 % (26841)Termination reason: Refutation
% 2.19/0.64
% 2.19/0.64 % (26841)Memory used [KB]: 6140
% 2.19/0.64 % (26841)Time elapsed: 0.170 s
% 2.19/0.64 % (26841)Instructions burned: 9 (million)
% 2.19/0.64 % (26841)------------------------------
% 2.19/0.64 % (26841)------------------------------
% 2.19/0.64 % (26810)Success in time 0.291 s
%------------------------------------------------------------------------------