TSTP Solution File: GEO220+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO220+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 : n024.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 16:09:19 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 63 ( 34 ~; 6 |; 17 &)
% ( 0 <=>; 6 =>; 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 : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 36 ( 24 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f62,plain,
$false,
inference(subsumption_resolution,[],[f60,f53]) ).
fof(f53,plain,
~ unorthogonal_lines(sK2,sK1),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ~ unorthogonal_lines(sK2,sK1)
& ~ unorthogonal_lines(sK2,sK0)
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f42,f43]) ).
fof(f43,plain,
( ? [X0,X1,X2] :
( ~ unorthogonal_lines(X2,X1)
& ~ unorthogonal_lines(X2,X0)
& convergent_lines(X0,X1) )
=> ( ~ unorthogonal_lines(sK2,sK1)
& ~ unorthogonal_lines(sK2,sK0)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
? [X0,X1,X2] :
( ~ unorthogonal_lines(X2,X1)
& ~ unorthogonal_lines(X2,X0)
& convergent_lines(X0,X1) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
? [X0,X2,X1] :
( ~ unorthogonal_lines(X1,X2)
& ~ unorthogonal_lines(X1,X0)
& convergent_lines(X0,X2) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
? [X0,X1,X2] :
( convergent_lines(X0,X2)
& ~ unorthogonal_lines(X1,X0)
& ~ unorthogonal_lines(X1,X2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0,X1,X2] :
( ( ~ unorthogonal_lines(X1,X0)
& ~ unorthogonal_lines(X1,X2) )
=> ~ convergent_lines(X0,X2) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X6,X5,X7] :
( ( ~ unorthogonal_lines(X5,X6)
& ~ unorthogonal_lines(X5,X7) )
=> ~ convergent_lines(X6,X7) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X6,X5,X7] :
( ( ~ unorthogonal_lines(X5,X6)
& ~ unorthogonal_lines(X5,X7) )
=> ~ convergent_lines(X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f60,plain,
unorthogonal_lines(sK2,sK1),
inference(unit_resulting_resolution,[],[f51,f52,f55]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X1,X0)
| unorthogonal_lines(X2,X0)
| unorthogonal_lines(X2,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X1,X0)
| unorthogonal_lines(X2,X1)
| unorthogonal_lines(X2,X0) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X2,X1,X0] :
( ~ convergent_lines(X1,X0)
| unorthogonal_lines(X2,X0)
| unorthogonal_lines(X2,X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X2,X1,X0] :
( ( ~ unorthogonal_lines(X2,X0)
& ~ unorthogonal_lines(X2,X1) )
=> ~ convergent_lines(X1,X0) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X7,X6,X5] :
( ( ~ unorthogonal_lines(X5,X7)
& ~ unorthogonal_lines(X5,X6) )
=> ~ convergent_lines(X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',couo1) ).
fof(f52,plain,
~ unorthogonal_lines(sK2,sK0),
inference(cnf_transformation,[],[f44]) ).
fof(f51,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO220+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % 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 : n024.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 21:32:49 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.49 % (27191)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)
% 0.19/0.49 % (27187)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)
% 0.19/0.49 % (27184)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)
% 0.19/0.49 % (27181)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)
% 0.19/0.49 % (27182)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)
% 0.19/0.49 % (27182)First to succeed.
% 0.19/0.50 % (27192)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (27190)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)
% 0.19/0.50 % (27181)Also succeeded, but the first one will report.
% 0.19/0.50 % (27182)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (27182)------------------------------
% 0.19/0.50 % (27182)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (27182)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (27182)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (27182)Memory used [KB]: 5884
% 0.19/0.50 % (27182)Time elapsed: 0.098 s
% 0.19/0.50 % (27182)Instructions burned: 2 (million)
% 0.19/0.50 % (27182)------------------------------
% 0.19/0.50 % (27182)------------------------------
% 0.19/0.50 % (27176)Success in time 0.157 s
%------------------------------------------------------------------------------