TSTP Solution File: GEO228+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO228+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 12:08:26 EDT 2023
% Result : Theorem 0.07s 0.27s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 37 ( 2 unt; 0 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 113 ( 50 ~; 43 |; 12 &)
% ( 6 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 40 (; 36 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [L,M] :
( convergent_lines(L,M)
<=> ( unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [L,M] :
( ( unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) )
=> ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [L,M] :
~ ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,conjecture,
! [L,M] :
( ~ convergent_lines(L,M)
<=> ( ~ unequally_directed_lines(L,M)
| ~ unequally_directed_lines(L,reverse_line(M)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
~ ! [L,M] :
( ~ convergent_lines(L,M)
<=> ( ~ unequally_directed_lines(L,M)
| ~ unequally_directed_lines(L,reverse_line(M)) ) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f39,plain,
! [L,M] :
( ( ~ convergent_lines(L,M)
| ( unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) ) )
& ( convergent_lines(L,M)
| ~ unequally_directed_lines(L,M)
| ~ unequally_directed_lines(L,reverse_line(M)) ) ),
inference(NNF_transformation,[status(esa)],[f2]) ).
fof(f40,plain,
( ! [L,M] :
( ~ convergent_lines(L,M)
| ( unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) ) )
& ! [L,M] :
( convergent_lines(L,M)
| ~ unequally_directed_lines(L,M)
| ~ unequally_directed_lines(L,reverse_line(M)) ) ),
inference(miniscoping,[status(esa)],[f39]) ).
fof(f41,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f42,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f90,plain,
! [L,M] :
( ~ unequally_directed_lines(L,M)
| ~ unequally_directed_lines(L,reverse_line(M))
| left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f91,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[status(esa)],[f90]) ).
fof(f96,plain,
! [L,M] :
( ~ left_convergent_lines(L,M)
& ~ left_convergent_lines(L,reverse_line(M)) ),
inference(pre_NNF_transformation,[status(esa)],[f16]) ).
fof(f97,plain,
( ! [L,M] : ~ left_convergent_lines(L,M)
& ! [L,M] : ~ left_convergent_lines(L,reverse_line(M)) ),
inference(miniscoping,[status(esa)],[f96]) ).
fof(f98,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[status(esa)],[f97]) ).
fof(f130,plain,
? [L,M] :
( ~ convergent_lines(L,M)
<~> ( ~ unequally_directed_lines(L,M)
| ~ unequally_directed_lines(L,reverse_line(M)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f33]) ).
fof(f131,plain,
? [L,M] :
( ( ~ convergent_lines(L,M)
| ~ unequally_directed_lines(L,M)
| ~ unequally_directed_lines(L,reverse_line(M)) )
& ( convergent_lines(L,M)
| ( unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) ) ) ),
inference(NNF_transformation,[status(esa)],[f130]) ).
fof(f132,plain,
( ( ~ convergent_lines(sk0_0,sk0_1)
| ~ unequally_directed_lines(sk0_0,sk0_1)
| ~ unequally_directed_lines(sk0_0,reverse_line(sk0_1)) )
& ( convergent_lines(sk0_0,sk0_1)
| ( unequally_directed_lines(sk0_0,sk0_1)
& unequally_directed_lines(sk0_0,reverse_line(sk0_1)) ) ) ),
inference(skolemization,[status(esa)],[f131]) ).
fof(f134,plain,
( convergent_lines(sk0_0,sk0_1)
| unequally_directed_lines(sk0_0,sk0_1) ),
inference(cnf_transformation,[status(esa)],[f132]) ).
fof(f135,plain,
( convergent_lines(sk0_0,sk0_1)
| unequally_directed_lines(sk0_0,reverse_line(sk0_1)) ),
inference(cnf_transformation,[status(esa)],[f132]) ).
fof(f139,plain,
( spl0_0
<=> convergent_lines(sk0_0,sk0_1) ),
introduced(split_symbol_definition) ).
fof(f140,plain,
( convergent_lines(sk0_0,sk0_1)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f139]) ).
fof(f142,plain,
( spl0_1
<=> unequally_directed_lines(sk0_0,sk0_1) ),
introduced(split_symbol_definition) ).
fof(f144,plain,
( ~ unequally_directed_lines(sk0_0,sk0_1)
| spl0_1 ),
inference(component_clause,[status(thm)],[f142]) ).
fof(f145,plain,
( spl0_2
<=> unequally_directed_lines(sk0_0,reverse_line(sk0_1)) ),
introduced(split_symbol_definition) ).
fof(f146,plain,
( unequally_directed_lines(sk0_0,reverse_line(sk0_1))
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f149,plain,
( spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f134,f139,f142]) ).
fof(f150,plain,
( spl0_0
| spl0_2 ),
inference(split_clause,[status(thm)],[f135,f139,f145]) ).
fof(f161,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,reverse_line(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[f91,f98]) ).
fof(f162,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f161,f98]) ).
fof(f169,plain,
( unequally_directed_lines(sk0_0,reverse_line(sk0_1))
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f140,f42]) ).
fof(f170,plain,
( unequally_directed_lines(sk0_0,sk0_1)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f140,f41]) ).
fof(f171,plain,
( $false
| spl0_1
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f170,f144]) ).
fof(f172,plain,
( spl0_1
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f171]) ).
fof(f174,plain,
( ~ unequally_directed_lines(sk0_0,sk0_1)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f146,f162]) ).
fof(f175,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f174,f142,f145]) ).
fof(f177,plain,
( spl0_2
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f169,f145,f139]) ).
fof(f178,plain,
$false,
inference(sat_refutation,[status(thm)],[f149,f150,f172,f175,f177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GEO228+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n009.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue May 30 11:58:01 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.07/0.26 % Drodi V3.5.1
% 0.07/0.27 % Refutation found
% 0.07/0.27 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.28 % Elapsed time: 0.013013 seconds
% 0.11/0.28 % CPU time: 0.024301 seconds
% 0.11/0.28 % Memory used: 2.384 MB
%------------------------------------------------------------------------------