TSTP Solution File: GEO218+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO218+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 : n011.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 16:09:18 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 39 ( 9 unt; 0 def)
% Number of atoms : 110 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 131 ( 60 ~; 38 |; 25 &)
% ( 0 <=>; 8 =>; 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 : 73 ( 61 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f89,plain,
$false,
inference(subsumption_resolution,[],[f88,f47]) ).
fof(f47,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(f88,plain,
convergent_lines(sK1,sK1),
inference(subsumption_resolution,[],[f80,f48]) ).
fof(f48,plain,
~ convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( unorthogonal_lines(sK2,sK1)
& ~ unorthogonal_lines(sK0,sK1)
& ~ convergent_lines(sK0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f37,f38]) ).
fof(f38,plain,
( ? [X0,X1,X2] :
( unorthogonal_lines(X2,X1)
& ~ unorthogonal_lines(X0,X1)
& ~ convergent_lines(X0,X2) )
=> ( unorthogonal_lines(sK2,sK1)
& ~ unorthogonal_lines(sK0,sK1)
& ~ convergent_lines(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
? [X0,X1,X2] :
( unorthogonal_lines(X2,X1)
& ~ unorthogonal_lines(X0,X1)
& ~ convergent_lines(X0,X2) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
? [X0,X2,X1] :
( unorthogonal_lines(X1,X2)
& ~ unorthogonal_lines(X0,X2)
& ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
? [X1,X0,X2] :
( unorthogonal_lines(X1,X2)
& ~ convergent_lines(X0,X1)
& ~ unorthogonal_lines(X0,X2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X1,X0,X2] :
( ( ~ convergent_lines(X0,X1)
& ~ unorthogonal_lines(X0,X2) )
=> ~ unorthogonal_lines(X1,X2) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X5,X6,X7] :
( ( ~ convergent_lines(X5,X6)
& ~ unorthogonal_lines(X5,X7) )
=> ~ unorthogonal_lines(X6,X7) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X5,X6,X7] :
( ( ~ convergent_lines(X5,X6)
& ~ unorthogonal_lines(X5,X7) )
=> ~ unorthogonal_lines(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f80,plain,
( convergent_lines(sK0,sK2)
| convergent_lines(sK1,sK1) ),
inference(resolution,[],[f60,f67]) ).
fof(f67,plain,
~ convergent_lines(sK2,sK1),
inference(subsumption_resolution,[],[f66,f48]) ).
fof(f66,plain,
( convergent_lines(sK0,sK2)
| ~ convergent_lines(sK2,sK1) ),
inference(resolution,[],[f53,f49]) ).
fof(f49,plain,
~ unorthogonal_lines(sK0,sK1),
inference(cnf_transformation,[],[f39]) ).
fof(f53,plain,
! [X0] :
( unorthogonal_lines(X0,sK1)
| ~ convergent_lines(sK2,sK1)
| convergent_lines(X0,sK2) ),
inference(resolution,[],[f50,f43]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X2,X1)
| ~ convergent_lines(X2,X1)
| unorthogonal_lines(X0,X1)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X2,X1)
| ( unorthogonal_lines(X0,X1)
& convergent_lines(X0,X1) )
| ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) )
| ~ unorthogonal_lines(X2,X1) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X0,X2,X1] :
( ~ convergent_lines(X1,X2)
| ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) )
| ( unorthogonal_lines(X0,X1)
& convergent_lines(X0,X1) )
| ~ unorthogonal_lines(X1,X2) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X0,X2,X1] :
( ~ convergent_lines(X1,X2)
| ~ unorthogonal_lines(X1,X2)
| ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) )
| ( unorthogonal_lines(X0,X1)
& convergent_lines(X0,X1) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X2,X1] :
( ( ( ~ unorthogonal_lines(X0,X2)
| ~ convergent_lines(X0,X2) )
& ( ~ convergent_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1) ) )
=> ( ~ convergent_lines(X1,X2)
| ~ unorthogonal_lines(X1,X2) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X5,X6,X7] :
( ( ( ~ convergent_lines(X5,X6)
| ~ unorthogonal_lines(X5,X6) )
& ( ~ unorthogonal_lines(X5,X7)
| ~ convergent_lines(X5,X7) ) )
=> ( ~ convergent_lines(X6,X7)
| ~ unorthogonal_lines(X6,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cotno1) ).
fof(f50,plain,
unorthogonal_lines(sK2,sK1),
inference(cnf_transformation,[],[f39]) ).
fof(f60,plain,
! [X2,X3] :
( convergent_lines(X2,X3)
| convergent_lines(sK1,X3)
| convergent_lines(sK0,X2) ),
inference(resolution,[],[f56,f45]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X1,X0)
| convergent_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X1,X0) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X1,X2,X0] :
( convergent_lines(X2,X0)
| convergent_lines(X1,X0)
| ~ convergent_lines(X2,X1) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X1,X2,X0] :
( convergent_lines(X2,X0)
| convergent_lines(X1,X0)
| ~ convergent_lines(X2,X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X1,X2,X0] :
( convergent_lines(X2,X1)
=> ( convergent_lines(X2,X0)
| convergent_lines(X1,X0) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2,X1,X0] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f56,plain,
! [X1] :
( convergent_lines(sK1,X1)
| convergent_lines(sK0,X1) ),
inference(resolution,[],[f52,f45]) ).
fof(f52,plain,
convergent_lines(sK0,sK1),
inference(resolution,[],[f49,f46]) ).
fof(f46,plain,
! [X0,X1] :
( unorthogonal_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( convergent_lines(X1,X0)
| unorthogonal_lines(X1,X0) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X1,X0] :
( convergent_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
~ ( ~ unorthogonal_lines(X0,X1)
& ~ convergent_lines(X0,X1) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X5,X6] :
~ ( ~ convergent_lines(X5,X6)
& ~ unorthogonal_lines(X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',coipo1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO218+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % 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 : n011.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 21:27:40 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 % (13668)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)
% 0.20/0.49 % (13676)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)
% 0.20/0.49 % (13691)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)
% 0.20/0.49 % (13668)First to succeed.
% 0.20/0.49 % (13668)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (13668)------------------------------
% 0.20/0.49 % (13668)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (13668)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (13668)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (13668)Memory used [KB]: 1407
% 0.20/0.49 % (13668)Time elapsed: 0.094 s
% 0.20/0.49 % (13668)Instructions burned: 2 (million)
% 0.20/0.49 % (13668)------------------------------
% 0.20/0.49 % (13668)------------------------------
% 0.20/0.49 % (13662)Success in time 0.132 s
%------------------------------------------------------------------------------