TSTP Solution File: GEO214+2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO214+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 16:09:17 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 7 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 65 ( 19 ~; 25 |; 14 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 51 ( 47 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f97,plain,
$false,
inference(unit_resulting_resolution,[],[f75,f72,f76,f94,f78]) ).
fof(f78,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X0,X1)
| ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| unorthogonal_lines(X1,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ( convergent_lines(X1,X2)
& unorthogonal_lines(X1,X2) )
| ( convergent_lines(X0,X2)
& unorthogonal_lines(X0,X2) )
| ~ unorthogonal_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X1,X0,X2] :
( ( convergent_lines(X0,X2)
& unorthogonal_lines(X0,X2) )
| ( convergent_lines(X1,X2)
& unorthogonal_lines(X1,X2) )
| ~ convergent_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X1,X0,X2] :
( ( convergent_lines(X0,X1)
& unorthogonal_lines(X0,X1) )
=> ( ( convergent_lines(X0,X2)
& unorthogonal_lines(X0,X2) )
| ( convergent_lines(X1,X2)
& unorthogonal_lines(X1,X2) ) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X5,X6,X7] :
( ( unorthogonal_lines(X5,X6)
& convergent_lines(X5,X6) )
=> ( ( unorthogonal_lines(X5,X7)
& convergent_lines(X5,X7) )
| ( unorthogonal_lines(X6,X7)
& convergent_lines(X6,X7) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oac1) ).
fof(f94,plain,
convergent_lines(sK0,sK1),
inference(resolution,[],[f89,f72]) ).
fof(f89,plain,
! [X0] :
( convergent_lines(sK1,X0)
| convergent_lines(sK0,X0) ),
inference(resolution,[],[f83,f64]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X1,X2)
| convergent_lines(X2,X0)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X1,X2)
| convergent_lines(X2,X0)
| convergent_lines(X1,X0) ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
! [X1,X0,X2] :
( convergent_lines(X0,X2)
| convergent_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X1,X0,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart6) ).
fof(f83,plain,
convergent_lines(sK1,sK0),
inference(resolution,[],[f75,f67]) ).
fof(f67,plain,
! [X0,X1] :
( unorthogonal_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( convergent_lines(X1,X0)
| unorthogonal_lines(X1,X0) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X1,X0] :
( convergent_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X5,X6] :
( unorthogonal_lines(X5,X6)
| convergent_lines(X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',occu1) ).
fof(f76,plain,
unorthogonal_lines(sK0,sK1),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( unorthogonal_lines(sK0,sK1)
& ~ unorthogonal_lines(sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f34,f60]) ).
fof(f60,plain,
( ? [X0,X1] :
( unorthogonal_lines(X0,X1)
& ~ unorthogonal_lines(X1,X0) )
=> ( unorthogonal_lines(sK0,sK1)
& ~ unorthogonal_lines(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
? [X0,X1] :
( unorthogonal_lines(X0,X1)
& ~ unorthogonal_lines(X1,X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X0,X1] :
( unorthogonal_lines(X0,X1)
=> unorthogonal_lines(X1,X0) ),
inference(rectify,[],[f22]) ).
fof(f22,negated_conjecture,
~ ! [X5,X6] :
( unorthogonal_lines(X5,X6)
=> unorthogonal_lines(X6,X5) ),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
! [X5,X6] :
( unorthogonal_lines(X5,X6)
=> unorthogonal_lines(X6,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f72,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(f75,plain,
~ unorthogonal_lines(sK1,sK0),
inference(cnf_transformation,[],[f61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : GEO214+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.14 % 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 : n004.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 21:25:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (16440)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)
% 0.20/0.50 % (16432)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)
% 0.20/0.50 % (16440)First to succeed.
% 0.20/0.51 % (16440)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 % (16440)------------------------------
% 0.20/0.51 % (16440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (16440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (16440)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (16440)Memory used [KB]: 1407
% 0.20/0.51 % (16440)Time elapsed: 0.087 s
% 0.20/0.51 % (16440)Instructions burned: 3 (million)
% 0.20/0.51 % (16440)------------------------------
% 0.20/0.51 % (16440)------------------------------
% 0.20/0.51 % (16416)Success in time 0.151 s
%------------------------------------------------------------------------------