TSTP Solution File: GEO222+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO222+2 : 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 : 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 16:09:21 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 59 ( 26 unt; 0 def)
% Number of atoms : 145 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 128 ( 42 ~; 64 |; 12 &)
% ( 0 <=>; 10 =>; 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 134 ( 130 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f124,plain,
$false,
inference(subsumption_resolution,[],[f120,f101]) ).
fof(f101,plain,
! [X0,X1] : unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(X0,X1),X1),X0),
inference(unit_resulting_resolution,[],[f70,f58,f58,f80,f63]) ).
fof(f63,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X0,X2)
| apart_point_and_line(X1,X2)
| unorthogonal_lines(X0,X3)
| apart_point_and_line(X1,X0)
| unorthogonal_lines(X2,X3) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0)
| unorthogonal_lines(X2,X3)
| ~ distinct_lines(X0,X2)
| unorthogonal_lines(X0,X3) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X0,X3,X2,X1] :
( apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X0)
| unorthogonal_lines(X2,X1)
| ~ distinct_lines(X0,X2)
| unorthogonal_lines(X0,X1) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X3,X2)
| unorthogonal_lines(X0,X1)
| apart_point_and_line(X3,X0)
| unorthogonal_lines(X2,X1)
| ~ distinct_lines(X0,X2) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X2,X3,X0,X1] :
( distinct_lines(X0,X2)
=> ( apart_point_and_line(X3,X2)
| unorthogonal_lines(X0,X1)
| apart_point_and_line(X3,X0)
| unorthogonal_lines(X2,X1) ) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X5,X7,X6,X8] :
( distinct_lines(X5,X6)
=> ( unorthogonal_lines(X6,X7)
| apart_point_and_line(X8,X5)
| apart_point_and_line(X8,X6)
| unorthogonal_lines(X5,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ouo1) ).
fof(f80,plain,
! [X0,X1] : distinct_lines(X0,orthogonal_through_point(X0,X1)),
inference(unit_resulting_resolution,[],[f57,f76,f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X1,X0)
| distinct_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ~ distinct_lines(X1,X0)
| distinct_lines(X1,X2)
| distinct_lines(X0,X2) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X1,X0,X2] :
( ~ distinct_lines(X0,X1)
| distinct_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart5) ).
fof(f76,plain,
! [X0,X1] : distinct_lines(orthogonal_through_point(X0,X1),X0),
inference(unit_resulting_resolution,[],[f74,f65]) ).
fof(f65,plain,
! [X0,X1] :
( ~ convergent_lines(X1,X0)
| distinct_lines(X1,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ~ convergent_lines(X1,X0)
| distinct_lines(X1,X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( convergent_lines(X1,X0)
=> distinct_lines(X1,X0) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).
fof(f74,plain,
! [X0,X1] : convergent_lines(orthogonal_through_point(X0,X1),X0),
inference(unit_resulting_resolution,[],[f70,f61]) ).
fof(f61,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X1,X0] :
( convergent_lines(X1,X0)
| unorthogonal_lines(X1,X0) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X6,X5] :
( unorthogonal_lines(X5,X6)
| convergent_lines(X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',occu1) ).
fof(f57,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart2) ).
fof(f58,plain,
! [X0,X1] : ~ apart_point_and_line(X0,orthogonal_through_point(X1,X0)),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] : ~ apart_point_and_line(X0,orthogonal_through_point(X1,X0)),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X8,X5] : ~ apart_point_and_line(X8,orthogonal_through_point(X5,X8)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ooc2) ).
fof(f70,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X1,X0),X1),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X1,X0] : ~ unorthogonal_lines(orthogonal_through_point(X0,X1),X0),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X5,X8] : ~ unorthogonal_lines(orthogonal_through_point(X5,X8),X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ooc1) ).
fof(f120,plain,
~ unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK0,sK1),sK1),sK0),
inference(unit_resulting_resolution,[],[f97,f70,f84,f68]) ).
fof(f68,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X2,X0)
| ~ convergent_lines(X2,X0)
| unorthogonal_lines(X2,X1)
| unorthogonal_lines(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ( unorthogonal_lines(X0,X1)
& convergent_lines(X0,X1) )
| ~ unorthogonal_lines(X2,X0)
| ( convergent_lines(X2,X1)
& unorthogonal_lines(X2,X1) )
| ~ convergent_lines(X2,X0) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
! [X1,X0,X2] :
( ( unorthogonal_lines(X1,X0)
& convergent_lines(X1,X0) )
| ~ unorthogonal_lines(X2,X1)
| ( convergent_lines(X2,X0)
& unorthogonal_lines(X2,X0) )
| ~ convergent_lines(X2,X1) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ( unorthogonal_lines(X1,X0)
& convergent_lines(X1,X0) )
| ( convergent_lines(X2,X0)
& unorthogonal_lines(X2,X0) )
| ~ convergent_lines(X2,X1)
| ~ unorthogonal_lines(X2,X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ( convergent_lines(X2,X1)
& unorthogonal_lines(X2,X1) )
=> ( ( unorthogonal_lines(X1,X0)
& convergent_lines(X1,X0) )
| ( convergent_lines(X2,X0)
& unorthogonal_lines(X2,X0) ) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X7,X6,X5] :
( ( unorthogonal_lines(X5,X6)
& convergent_lines(X5,X6) )
=> ( ( convergent_lines(X5,X7)
& unorthogonal_lines(X5,X7) )
| ( convergent_lines(X6,X7)
& unorthogonal_lines(X6,X7) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oac1) ).
fof(f84,plain,
convergent_lines(orthogonal_through_point(orthogonal_through_point(sK0,sK1),sK1),sK0),
inference(unit_resulting_resolution,[],[f62,f64,f71]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
! [X1,X0,X2] :
( convergent_lines(X0,X2)
| convergent_lines(X1,X2)
| ~ convergent_lines(X1,X0) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
! [X1,X0,X2] :
( convergent_lines(X0,X2)
| convergent_lines(X1,X2)
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X1,X0,X2] :
( convergent_lines(X1,X0)
=> ( convergent_lines(X0,X2)
| convergent_lines(X1,X2) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart6) ).
fof(f64,plain,
convergent_lines(sK0,orthogonal_through_point(orthogonal_through_point(sK0,sK1),sK1)),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
convergent_lines(sK0,orthogonal_through_point(orthogonal_through_point(sK0,sK1),sK1)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f46,f51]) ).
fof(f51,plain,
( ? [X0,X1] : convergent_lines(X0,orthogonal_through_point(orthogonal_through_point(X0,X1),X1))
=> convergent_lines(sK0,orthogonal_through_point(orthogonal_through_point(sK0,sK1),sK1)) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
? [X0,X1] : convergent_lines(X0,orthogonal_through_point(orthogonal_through_point(X0,X1),X1)),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X1,X0] : ~ convergent_lines(X0,orthogonal_through_point(orthogonal_through_point(X0,X1),X1)),
inference(rectify,[],[f22]) ).
fof(f22,negated_conjecture,
~ ! [X5,X8] : ~ convergent_lines(X5,orthogonal_through_point(orthogonal_through_point(X5,X8),X8)),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
! [X5,X8] : ~ convergent_lines(X5,orthogonal_through_point(orthogonal_through_point(X5,X8),X8)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f62,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(f97,plain,
! [X0,X1] : ~ unorthogonal_lines(X0,orthogonal_through_point(X0,X1)),
inference(unit_resulting_resolution,[],[f62,f83,f70,f69]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X2,X0)
| unorthogonal_lines(X0,X1)
| ~ convergent_lines(X2,X0)
| convergent_lines(X2,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f83,plain,
! [X0,X1] : convergent_lines(X0,orthogonal_through_point(X0,X1)),
inference(unit_resulting_resolution,[],[f62,f74,f71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO222+2 : 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
% 0.13/0.34 % Computer : n004.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 21:27:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % (23840)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)
% 0.20/0.49 % (23832)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)
% 0.20/0.49 % (23824)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)
% 0.20/0.50 % (23828)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50 % (23832)Instruction limit reached!
% 0.20/0.50 % (23832)------------------------------
% 0.20/0.50 % (23832)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (23832)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (23832)Termination reason: Unknown
% 0.20/0.50 % (23832)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (23832)Memory used [KB]: 6012
% 0.20/0.50 % (23832)Time elapsed: 0.062 s
% 0.20/0.50 % (23832)Instructions burned: 7 (million)
% 0.20/0.50 % (23832)------------------------------
% 0.20/0.50 % (23832)------------------------------
% 0.20/0.50 % (23828)First to succeed.
% 0.20/0.50 % (23820)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)
% 0.20/0.51 % (23824)Also succeeded, but the first one will report.
% 0.20/0.51 % (23828)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (23828)------------------------------
% 0.20/0.51 % (23828)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (23828)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (23828)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (23828)Memory used [KB]: 6012
% 0.20/0.51 % (23828)Time elapsed: 0.103 s
% 0.20/0.51 % (23828)Instructions burned: 4 (million)
% 0.20/0.51 % (23828)------------------------------
% 0.20/0.51 % (23828)------------------------------
% 0.20/0.51 % (23816)Success in time 0.16 s
%------------------------------------------------------------------------------