TSTP Solution File: GEO268+3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO268+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 12:08:38 EDT 2023
% Result : Theorem 0.13s 0.32s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 43 ( 2 unt; 0 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 99 ( 42 ~; 42 |; 7 &)
% ( 6 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 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 : 46 (; 42 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( unequally_directed_opposite_lines(X,Y)
<=> unequally_directed_lines(X,reverse_line(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [L,M] :
( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [L,M] :
~ ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,conjecture,
! [L,M] :
( unequally_directed_lines(L,M)
<=> unequally_directed_opposite_lines(L,reverse_line(M)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
~ ! [L,M] :
( unequally_directed_lines(L,M)
<=> unequally_directed_opposite_lines(L,reverse_line(M)) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f39,plain,
! [X,Y] :
( ( ~ unequally_directed_opposite_lines(X,Y)
| unequally_directed_lines(X,reverse_line(Y)) )
& ( unequally_directed_opposite_lines(X,Y)
| ~ unequally_directed_lines(X,reverse_line(Y)) ) ),
inference(NNF_transformation,[status(esa)],[f1]) ).
fof(f40,plain,
( ! [X,Y] :
( ~ unequally_directed_opposite_lines(X,Y)
| unequally_directed_lines(X,reverse_line(Y)) )
& ! [X,Y] :
( unequally_directed_opposite_lines(X,Y)
| ~ unequally_directed_lines(X,reverse_line(Y)) ) ),
inference(miniscoping,[status(esa)],[f39]) ).
fof(f41,plain,
! [X0,X1] :
( ~ unequally_directed_opposite_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f42,plain,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f110,plain,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f111,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)],[f19]) ).
fof(f112,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)],[f111]) ).
fof(f117,plain,
! [L,M] :
( ~ left_convergent_lines(L,M)
& ~ left_convergent_lines(L,reverse_line(M)) ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f118,plain,
( ! [L,M] : ~ left_convergent_lines(L,M)
& ! [L,M] : ~ left_convergent_lines(L,reverse_line(M)) ),
inference(miniscoping,[status(esa)],[f117]) ).
fof(f119,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[status(esa)],[f118]) ).
fof(f152,plain,
? [L,M] :
( unequally_directed_lines(L,M)
<~> unequally_directed_opposite_lines(L,reverse_line(M)) ),
inference(pre_NNF_transformation,[status(esa)],[f38]) ).
fof(f153,plain,
? [L,M] :
( ( unequally_directed_lines(L,M)
| unequally_directed_opposite_lines(L,reverse_line(M)) )
& ( ~ unequally_directed_lines(L,M)
| ~ unequally_directed_opposite_lines(L,reverse_line(M)) ) ),
inference(NNF_transformation,[status(esa)],[f152]) ).
fof(f154,plain,
( ( unequally_directed_lines(sk0_0,sk0_1)
| unequally_directed_opposite_lines(sk0_0,reverse_line(sk0_1)) )
& ( ~ unequally_directed_lines(sk0_0,sk0_1)
| ~ unequally_directed_opposite_lines(sk0_0,reverse_line(sk0_1)) ) ),
inference(skolemization,[status(esa)],[f153]) ).
fof(f155,plain,
( unequally_directed_lines(sk0_0,sk0_1)
| unequally_directed_opposite_lines(sk0_0,reverse_line(sk0_1)) ),
inference(cnf_transformation,[status(esa)],[f154]) ).
fof(f156,plain,
( ~ unequally_directed_lines(sk0_0,sk0_1)
| ~ unequally_directed_opposite_lines(sk0_0,reverse_line(sk0_1)) ),
inference(cnf_transformation,[status(esa)],[f154]) ).
fof(f160,plain,
( spl0_0
<=> unequally_directed_lines(sk0_0,sk0_1) ),
introduced(split_symbol_definition) ).
fof(f162,plain,
( ~ unequally_directed_lines(sk0_0,sk0_1)
| spl0_0 ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,plain,
( spl0_1
<=> unequally_directed_opposite_lines(sk0_0,reverse_line(sk0_1)) ),
introduced(split_symbol_definition) ).
fof(f164,plain,
( unequally_directed_opposite_lines(sk0_0,reverse_line(sk0_1))
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f165,plain,
( ~ unequally_directed_opposite_lines(sk0_0,reverse_line(sk0_1))
| spl0_1 ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f166,plain,
( spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f155,f160,f163]) ).
fof(f167,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f156,f160,f163]) ).
fof(f176,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)],[f112,f119]) ).
fof(f177,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f176,f119]) ).
fof(f194,plain,
( spl0_3
<=> unequally_directed_lines(sk0_0,reverse_line(sk0_1)) ),
introduced(split_symbol_definition) ).
fof(f196,plain,
( ~ unequally_directed_lines(sk0_0,reverse_line(sk0_1))
| spl0_3 ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f199,plain,
( unequally_directed_lines(sk0_0,sk0_1)
| spl0_3 ),
inference(resolution,[status(thm)],[f196,f110]) ).
fof(f200,plain,
( $false
| spl0_0
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f199,f162]) ).
fof(f201,plain,
( spl0_0
| spl0_3 ),
inference(contradiction_clause,[status(thm)],[f200]) ).
fof(f202,plain,
( ~ unequally_directed_lines(sk0_0,reverse_line(reverse_line(sk0_1)))
| spl0_1 ),
inference(resolution,[status(thm)],[f165,f42]) ).
fof(f203,plain,
( unequally_directed_lines(sk0_0,reverse_line(sk0_1))
| spl0_1 ),
inference(resolution,[status(thm)],[f202,f110]) ).
fof(f396,plain,
( ~ unequally_directed_lines(sk0_0,sk0_1)
| spl0_1 ),
inference(resolution,[status(thm)],[f177,f203]) ).
fof(f397,plain,
( ~ spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f396,f160,f163]) ).
fof(f416,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_opposite_lines(X0,X1) ),
inference(resolution,[status(thm)],[f177,f41]) ).
fof(f463,plain,
( ~ unequally_directed_lines(sk0_0,reverse_line(sk0_1))
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f164,f416]) ).
fof(f464,plain,
( ~ spl0_3
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f463,f194,f163]) ).
fof(f465,plain,
$false,
inference(sat_refutation,[status(thm)],[f166,f167,f201,f397,f464]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO268+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.30 % Computer : n021.cluster.edu
% 0.08/0.30 % Model : x86_64 x86_64
% 0.08/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.30 % Memory : 8042.1875MB
% 0.08/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.30 % CPULimit : 300
% 0.08/0.30 % WCLimit : 300
% 0.08/0.30 % DateTime : Tue May 30 12:02:07 EDT 2023
% 0.08/0.30 % CPUTime :
% 0.08/0.31 % Drodi V3.5.1
% 0.13/0.32 % Refutation found
% 0.13/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.55 % Elapsed time: 0.036902 seconds
% 0.13/0.55 % CPU time: 0.028204 seconds
% 0.13/0.55 % Memory used: 839.707 KB
%------------------------------------------------------------------------------