TSTP Solution File: GEO268+3 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n002.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 : Tue Apr 30 20:17:49 EDT 2024
% Result : Theorem 0.21s 0.39s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 53 ( 7 unt; 0 def)
% Number of atoms : 124 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 123 ( 52 ~; 53 |; 9 &)
% ( 6 <=>; 2 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 72 ( 68 !; 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(f4,axiom,
! [X,Y] :
( equally_directed_lines(X,Y)
<=> ~ unequally_directed_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [L] : equally_directed_lines(L,L),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [L,M,N] :
( unequally_directed_lines(L,M)
=> ( unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ) ),
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(f51,plain,
! [X,Y] :
( ( ~ equally_directed_lines(X,Y)
| ~ unequally_directed_lines(X,Y) )
& ( equally_directed_lines(X,Y)
| unequally_directed_lines(X,Y) ) ),
inference(NNF_transformation,[status(esa)],[f4]) ).
fof(f52,plain,
( ! [X,Y] :
( ~ equally_directed_lines(X,Y)
| ~ unequally_directed_lines(X,Y) )
& ! [X,Y] :
( equally_directed_lines(X,Y)
| unequally_directed_lines(X,Y) ) ),
inference(miniscoping,[status(esa)],[f51]) ).
fof(f53,plain,
! [X0,X1] :
( ~ equally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f100,plain,
! [X0] : equally_directed_lines(X0,X0),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f101,plain,
! [L,M,N] :
( ~ unequally_directed_lines(L,M)
| unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ),
inference(pre_NNF_transformation,[status(esa)],[f16]) ).
fof(f102,plain,
! [L,M] :
( ~ unequally_directed_lines(L,M)
| ! [N] :
( unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ) ),
inference(miniscoping,[status(esa)],[f101]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f102]) ).
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(f180,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(resolution,[status(thm)],[f100,f53]) ).
fof(f182,plain,
! [X0] : unequally_directed_lines(reverse_line(X0),X0),
inference(resolution,[status(thm)],[f180,f110]) ).
fof(f196,plain,
! [X0] : ~ unequally_directed_lines(reverse_line(reverse_line(X0)),X0),
inference(resolution,[status(thm)],[f177,f182]) ).
fof(f213,plain,
! [X0] :
( ~ unequally_directed_lines(sk0_0,X0)
| unequally_directed_lines(X0,sk0_1)
| spl0_0 ),
inference(resolution,[status(thm)],[f162,f103]) ).
fof(f218,plain,
( ~ unequally_directed_lines(sk0_0,reverse_line(reverse_line(sk0_1)))
| spl0_0 ),
inference(resolution,[status(thm)],[f213,f196]) ).
fof(f244,plain,
( ~ unequally_directed_opposite_lines(sk0_0,reverse_line(sk0_1))
| spl0_0 ),
inference(resolution,[status(thm)],[f218,f41]) ).
fof(f245,plain,
( $false
| ~ spl0_1
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f244,f164]) ).
fof(f246,plain,
( ~ spl0_1
| spl0_0 ),
inference(contradiction_clause,[status(thm)],[f245]) ).
fof(f248,plain,
( ~ unequally_directed_lines(sk0_0,reverse_line(reverse_line(sk0_1)))
| spl0_1 ),
inference(resolution,[status(thm)],[f165,f42]) ).
fof(f250,plain,
( unequally_directed_lines(sk0_0,reverse_line(sk0_1))
| spl0_1 ),
inference(resolution,[status(thm)],[f248,f110]) ).
fof(f254,plain,
( ~ unequally_directed_lines(sk0_0,sk0_1)
| spl0_1 ),
inference(resolution,[status(thm)],[f250,f177]) ).
fof(f255,plain,
( ~ spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f254,f160,f163]) ).
fof(f256,plain,
$false,
inference(sat_refutation,[status(thm)],[f166,f167,f246,f255]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO268+3 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n002.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 : Tue Apr 30 01:55:40 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.21/0.39 % Refutation found
% 0.21/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.42 % Elapsed time: 0.062565 seconds
% 0.21/0.42 % CPU time: 0.343489 seconds
% 0.21/0.42 % Total memory used: 11.811 MB
% 0.21/0.42 % Net memory used: 11.626 MB
%------------------------------------------------------------------------------