TSTP Solution File: GEO223+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO223+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_uns --cores 0 -t %d %s
% Computer : n026.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 16:09:21 EDT 2022
% Result : Theorem 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 63 ( 30 unt; 0 def)
% Number of atoms : 164 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 149 ( 48 ~; 78 |; 12 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 138 ( 132 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f331,plain,
$false,
inference(subsumption_resolution,[],[f326,f321]) ).
fof(f321,plain,
convergent_lines(sK0,orthogonal_through_point(sK0,sK1)),
inference(unit_resulting_resolution,[],[f78,f102,f280,f68]) ).
fof(f68,plain,
! [X2,X0,X1] :
( unorthogonal_lines(X2,X0)
| ~ unorthogonal_lines(X2,X1)
| ~ convergent_lines(X2,X1)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X2,X1)
| ~ unorthogonal_lines(X2,X1)
| ( convergent_lines(X1,X0)
& unorthogonal_lines(X1,X0) )
| ( convergent_lines(X2,X0)
& unorthogonal_lines(X2,X0) ) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X1,X0)
| ~ unorthogonal_lines(X1,X0)
| ( convergent_lines(X0,X2)
& unorthogonal_lines(X0,X2) )
| ( convergent_lines(X1,X2)
& unorthogonal_lines(X1,X2) ) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ( convergent_lines(X1,X2)
& unorthogonal_lines(X1,X2) )
| ( convergent_lines(X0,X2)
& unorthogonal_lines(X0,X2) )
| ~ convergent_lines(X1,X0)
| ~ unorthogonal_lines(X1,X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ( convergent_lines(X1,X0)
& unorthogonal_lines(X1,X0) )
=> ( ( convergent_lines(X1,X2)
& unorthogonal_lines(X1,X2) )
| ( convergent_lines(X0,X2)
& unorthogonal_lines(X0,X2) ) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X6,X5,X7] :
( ( unorthogonal_lines(X5,X6)
& convergent_lines(X5,X6) )
=> ( ( unorthogonal_lines(X6,X7)
& convergent_lines(X6,X7) )
| ( convergent_lines(X5,X7)
& unorthogonal_lines(X5,X7) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oac1) ).
fof(f280,plain,
unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK0,sK1),sK1),sK0),
inference(unit_resulting_resolution,[],[f78,f70,f70,f114,f76]) ).
fof(f76,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X3,X1)
| ~ distinct_lines(X1,X2)
| unorthogonal_lines(X2,X0)
| apart_point_and_line(X3,X2)
| unorthogonal_lines(X1,X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X1)
| unorthogonal_lines(X1,X0)
| ~ distinct_lines(X1,X2)
| unorthogonal_lines(X2,X0) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X2,X1,X0,X3] :
( apart_point_and_line(X3,X0)
| apart_point_and_line(X3,X1)
| unorthogonal_lines(X1,X2)
| ~ distinct_lines(X1,X0)
| unorthogonal_lines(X0,X2) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X0,X2,X3,X1] :
( apart_point_and_line(X3,X1)
| apart_point_and_line(X3,X0)
| unorthogonal_lines(X1,X2)
| unorthogonal_lines(X0,X2)
| ~ distinct_lines(X1,X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X2,X3,X1] :
( distinct_lines(X1,X0)
=> ( apart_point_and_line(X3,X1)
| apart_point_and_line(X3,X0)
| unorthogonal_lines(X1,X2)
| unorthogonal_lines(X0,X2) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X6,X5,X7,X8] :
( distinct_lines(X5,X6)
=> ( apart_point_and_line(X8,X6)
| unorthogonal_lines(X6,X7)
| apart_point_and_line(X8,X5)
| unorthogonal_lines(X5,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ouo1) ).
fof(f114,plain,
distinct_lines(orthogonal_through_point(orthogonal_through_point(sK0,sK1),sK1),orthogonal_through_point(sK0,sK1)),
inference(unit_resulting_resolution,[],[f80,f94,f71]) ).
fof(f71,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X0,X2,X1] :
( distinct_lines(X2,X1)
| ~ convergent_lines(X0,X2)
| convergent_lines(X0,X1) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
| distinct_lines(X2,X1)
| ~ convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
=> ( convergent_lines(X0,X1)
| distinct_lines(X2,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X0,X2,X1] :
( convergent_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).
fof(f94,plain,
~ convergent_lines(parallel_through_point(sK0,sK1),orthogonal_through_point(sK0,sK1)),
inference(unit_resulting_resolution,[],[f65,f78,f81,f67]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X2,X1)
| ~ convergent_lines(X2,X1)
| unorthogonal_lines(X1,X0)
| convergent_lines(X2,X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f81,plain,
unorthogonal_lines(parallel_through_point(sK0,sK1),orthogonal_through_point(sK0,sK1)),
inference(unit_resulting_resolution,[],[f63,f70,f78,f79,f76]) ).
fof(f79,plain,
distinct_lines(parallel_through_point(sK0,sK1),orthogonal_through_point(orthogonal_through_point(sK0,sK1),sK1)),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
distinct_lines(parallel_through_point(sK0,sK1),orthogonal_through_point(orthogonal_through_point(sK0,sK1),sK1)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f59,f60]) ).
fof(f60,plain,
( ? [X0,X1] : distinct_lines(parallel_through_point(X0,X1),orthogonal_through_point(orthogonal_through_point(X0,X1),X1))
=> distinct_lines(parallel_through_point(sK0,sK1),orthogonal_through_point(orthogonal_through_point(sK0,sK1),sK1)) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
? [X0,X1] : distinct_lines(parallel_through_point(X0,X1),orthogonal_through_point(orthogonal_through_point(X0,X1),X1)),
inference(rectify,[],[f50]) ).
fof(f50,plain,
? [X1,X0] : distinct_lines(parallel_through_point(X1,X0),orthogonal_through_point(orthogonal_through_point(X1,X0),X0)),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
~ ! [X1,X0] : ~ distinct_lines(parallel_through_point(X1,X0),orthogonal_through_point(orthogonal_through_point(X1,X0),X0)),
inference(rectify,[],[f24]) ).
fof(f24,negated_conjecture,
~ ! [X8,X5] : ~ distinct_lines(parallel_through_point(X5,X8),orthogonal_through_point(orthogonal_through_point(X5,X8),X8)),
inference(negated_conjecture,[],[f23]) ).
fof(f23,conjecture,
! [X8,X5] : ~ distinct_lines(parallel_through_point(X5,X8),orthogonal_through_point(orthogonal_through_point(X5,X8),X8)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f63,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp2) ).
fof(f65,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp1) ).
fof(f80,plain,
convergent_lines(parallel_through_point(sK0,sK1),orthogonal_through_point(orthogonal_through_point(sK0,sK1),sK1)),
inference(unit_resulting_resolution,[],[f63,f70,f79,f75]) ).
fof(f75,plain,
! [X2,X0,X1] :
( apart_point_and_line(X2,X1)
| convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1)
| apart_point_and_line(X2,X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| ~ distinct_lines(X0,X1)
| apart_point_and_line(X2,X0)
| convergent_lines(X0,X1) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
! [X2,X1,X0] :
( apart_point_and_line(X0,X1)
| ~ distinct_lines(X2,X1)
| apart_point_and_line(X0,X2)
| convergent_lines(X2,X1) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X2,X1,X0] :
( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| convergent_lines(X2,X1)
| ~ distinct_lines(X2,X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X2,X1,X0] :
( distinct_lines(X2,X1)
=> ( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| convergent_lines(X2,X1) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X0,X2,X1] :
( distinct_lines(X1,X2)
=> ( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cup1) ).
fof(f70,plain,
! [X0,X1] : ~ apart_point_and_line(X1,orthogonal_through_point(X0,X1)),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] : ~ apart_point_and_line(X1,orthogonal_through_point(X0,X1)),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X5,X8] : ~ apart_point_and_line(X8,orthogonal_through_point(X5,X8)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ooc2) ).
fof(f102,plain,
convergent_lines(orthogonal_through_point(orthogonal_through_point(sK0,sK1),sK1),sK0),
inference(unit_resulting_resolution,[],[f65,f80,f74]) ).
fof(f74,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X0)
| ~ convergent_lines(X2,X1)
| convergent_lines(X2,X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X2,X1)
| convergent_lines(X2,X0)
| convergent_lines(X1,X0) ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
! [X1,X2,X0] :
( ~ convergent_lines(X0,X2)
| convergent_lines(X0,X1)
| convergent_lines(X2,X1) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X1,X2,X0] :
( convergent_lines(X2,X1)
| convergent_lines(X0,X1)
| ~ convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
! [X1,X2,X0] :
( convergent_lines(X0,X2)
=> ( convergent_lines(X2,X1)
| convergent_lines(X0,X1) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0,X2,X1] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f78,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X0,X1),X0),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X0,X1),X0),
inference(rectify,[],[f30]) ).
fof(f30,plain,
! [X1,X0] : ~ unorthogonal_lines(orthogonal_through_point(X1,X0),X1),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X8,X5] : ~ unorthogonal_lines(orthogonal_through_point(X5,X8),X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ooc1) ).
fof(f326,plain,
~ convergent_lines(sK0,orthogonal_through_point(sK0,sK1)),
inference(unit_resulting_resolution,[],[f72,f78,f318,f67]) ).
fof(f318,plain,
unorthogonal_lines(sK0,orthogonal_through_point(sK0,sK1)),
inference(unit_resulting_resolution,[],[f78,f102,f280,f66]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X2,X1)
| unorthogonal_lines(X2,X0)
| unorthogonal_lines(X1,X0)
| ~ convergent_lines(X2,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f72,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO223+1 : TPTP v8.1.0. Released v3.3.0.
% 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
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 21:45:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.53 % (32263)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.53 % (32274)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)
% 0.20/0.54 % (32275)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)
% 0.20/0.54 % (32271)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.54 % (32279)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.54 % (32266)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)
% 0.20/0.54 % (32267)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)
% 0.20/0.54 % (32267)Refutation not found, incomplete strategy% (32267)------------------------------
% 0.20/0.54 % (32267)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (32267)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (32267)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (32267)Memory used [KB]: 6012
% 0.20/0.54 % (32267)Time elapsed: 0.123 s
% 0.20/0.54 % (32267)Instructions burned: 2 (million)
% 0.20/0.54 % (32267)------------------------------
% 0.20/0.54 % (32267)------------------------------
% 0.20/0.54 % (32258)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)
% 0.20/0.55 % (32259)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)
% 0.20/0.55 % (32279)Instruction limit reached!
% 0.20/0.55 % (32279)------------------------------
% 0.20/0.55 % (32279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (32254)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56 % (32255)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)
% 0.20/0.56 % (32258)First to succeed.
% 0.20/0.56 % (32258)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Theorem for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (32258)------------------------------
% 0.20/0.57 % (32258)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (32258)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (32258)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (32258)Memory used [KB]: 6012
% 0.20/0.57 % (32258)Time elapsed: 0.114 s
% 0.20/0.57 % (32258)Instructions burned: 7 (million)
% 0.20/0.57 % (32258)------------------------------
% 0.20/0.57 % (32258)------------------------------
% 0.20/0.57 % (32250)Success in time 0.204 s
%------------------------------------------------------------------------------