TSTP Solution File: GEO217+3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO217+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 May 31 12:08:22 EDT 2023
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 9 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 54 ( 19 ~; 21 |; 10 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 46 (; 40 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [X,Y] :
( parallel_lines(X,Y)
<=> ~ convergent_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,conjecture,
! [L,M,N] :
( ( parallel_lines(L,M)
& parallel_lines(L,N) )
=> parallel_lines(M,N) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
~ ! [L,M,N] :
( ( parallel_lines(L,M)
& parallel_lines(L,N) )
=> parallel_lines(M,N) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f40,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f47,plain,
! [X,Y,Z] :
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| convergent_lines(Y,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f48,plain,
! [X,Y] :
( ~ convergent_lines(X,Y)
| ! [Z] :
( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
inference(miniscoping,[status(esa)],[f47]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f115,plain,
! [X,Y] :
( ( ~ parallel_lines(X,Y)
| ~ convergent_lines(X,Y) )
& ( parallel_lines(X,Y)
| convergent_lines(X,Y) ) ),
inference(NNF_transformation,[status(esa)],[f33]) ).
fof(f116,plain,
( ! [X,Y] :
( ~ parallel_lines(X,Y)
| ~ convergent_lines(X,Y) )
& ! [X,Y] :
( parallel_lines(X,Y)
| convergent_lines(X,Y) ) ),
inference(miniscoping,[status(esa)],[f115]) ).
fof(f117,plain,
! [X0,X1] :
( ~ parallel_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f116]) ).
fof(f118,plain,
! [X0,X1] :
( parallel_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f116]) ).
fof(f127,plain,
? [L,M,N] :
( parallel_lines(L,M)
& parallel_lines(L,N)
& ~ parallel_lines(M,N) ),
inference(pre_NNF_transformation,[status(esa)],[f37]) ).
fof(f128,plain,
? [M,N] :
( ? [L] :
( parallel_lines(L,M)
& parallel_lines(L,N) )
& ~ parallel_lines(M,N) ),
inference(miniscoping,[status(esa)],[f127]) ).
fof(f129,plain,
( parallel_lines(sk0_2,sk0_0)
& parallel_lines(sk0_2,sk0_1)
& ~ parallel_lines(sk0_0,sk0_1) ),
inference(skolemization,[status(esa)],[f128]) ).
fof(f130,plain,
parallel_lines(sk0_2,sk0_0),
inference(cnf_transformation,[status(esa)],[f129]) ).
fof(f131,plain,
parallel_lines(sk0_2,sk0_1),
inference(cnf_transformation,[status(esa)],[f129]) ).
fof(f132,plain,
~ parallel_lines(sk0_0,sk0_1),
inference(cnf_transformation,[status(esa)],[f129]) ).
fof(f139,plain,
convergent_lines(sk0_0,sk0_1),
inference(resolution,[status(thm)],[f118,f132]) ).
fof(f145,plain,
! [X0] :
( convergent_lines(sk0_0,X0)
| convergent_lines(sk0_1,X0) ),
inference(resolution,[status(thm)],[f49,f139]) ).
fof(f146,plain,
! [X0,X1] :
( convergent_lines(sk0_0,X0)
| convergent_lines(sk0_1,X1)
| convergent_lines(X0,X1) ),
inference(resolution,[status(thm)],[f145,f49]) ).
fof(f151,plain,
! [X0] :
( convergent_lines(sk0_0,X0)
| convergent_lines(X0,sk0_1) ),
inference(resolution,[status(thm)],[f146,f40]) ).
fof(f153,plain,
! [X0,X1] :
( convergent_lines(X0,sk0_1)
| convergent_lines(sk0_0,X1)
| convergent_lines(X0,X1) ),
inference(resolution,[status(thm)],[f151,f49]) ).
fof(f162,plain,
! [X0] :
( convergent_lines(X0,sk0_1)
| convergent_lines(X0,sk0_0) ),
inference(resolution,[status(thm)],[f153,f40]) ).
fof(f167,plain,
! [X0] :
( convergent_lines(X0,sk0_0)
| ~ parallel_lines(X0,sk0_1) ),
inference(resolution,[status(thm)],[f162,f117]) ).
fof(f174,plain,
convergent_lines(sk0_2,sk0_0),
inference(resolution,[status(thm)],[f167,f131]) ).
fof(f177,plain,
~ parallel_lines(sk0_2,sk0_0),
inference(resolution,[status(thm)],[f174,f117]) ).
fof(f178,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f177,f130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO217+3 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue May 30 12:01:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Drodi V3.5.1
% 0.13/0.35 % Refutation found
% 0.13/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.36 % Elapsed time: 0.020716 seconds
% 0.19/0.36 % CPU time: 0.034619 seconds
% 0.19/0.36 % Memory used: 2.000 MB
%------------------------------------------------------------------------------