TSTP Solution File: GEO260+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO260+1 : TPTP v8.1.2. Bugfixed v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 12:08:36 EDT 2023
% Result : Theorem 1.47s 0.55s
% Output : CNFRefutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of formulae : 51 ( 9 unt; 0 def)
% Number of atoms : 146 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 148 ( 53 ~; 66 |; 22 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 77 (; 73 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [L] : ~ unequally_directed_lines(L,L),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [L,M,N] :
( unequally_directed_lines(L,M)
=> ( unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [L,M] :
( ( line(L)
& line(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(f25,axiom,
! [A,B] : ~ unequally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,conjecture,
! [L,A,B,C] :
( ( line(L)
& distinct_points(A,C)
& distinct_points(B,C)
& distinct_points(A,B) )
=> ~ ( between_on_line(L,A,B,C)
& between_on_line(L,A,C,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
~ ! [L,A,B,C] :
( ( line(L)
& distinct_points(A,C)
& distinct_points(B,C)
& distinct_points(A,B) )
=> ~ ( between_on_line(L,A,B,C)
& between_on_line(L,A,C,B) ) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f78,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f79,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)],[f11]) ).
fof(f80,plain,
! [L,M] :
( ~ unequally_directed_lines(L,M)
| ! [N] :
( unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ) ),
inference(miniscoping,[status(esa)],[f79]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f80]) ).
fof(f88,plain,
! [L,M] :
( ~ line(L)
| ~ line(M)
| unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f89,plain,
! [X0,X1] :
( ~ line(X0)
| ~ line(X1)
| unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[status(esa)],[f88]) ).
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(f116,plain,
! [X0,X1] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f130,plain,
? [L,A,B,C] :
( line(L)
& distinct_points(A,C)
& distinct_points(B,C)
& distinct_points(A,B)
& between_on_line(L,A,B,C)
& between_on_line(L,A,C,B) ),
inference(pre_NNF_transformation,[status(esa)],[f33]) ).
fof(f131,plain,
( line(sk0_0)
& distinct_points(sk0_1,sk0_3)
& distinct_points(sk0_2,sk0_3)
& distinct_points(sk0_1,sk0_2)
& between_on_line(sk0_0,sk0_1,sk0_2,sk0_3)
& between_on_line(sk0_0,sk0_1,sk0_3,sk0_2) ),
inference(skolemization,[status(esa)],[f130]) ).
fof(f132,plain,
line(sk0_0),
inference(cnf_transformation,[status(esa)],[f131]) ).
fof(f929,plain,
! [X0] :
( ~ line(X0)
| unequally_directed_lines(X0,sk0_0)
| unequally_directed_lines(X0,reverse_line(sk0_0)) ),
inference(resolution,[status(thm)],[f89,f132]) ).
fof(f932,plain,
( spl0_31
<=> unequally_directed_lines(sk0_0,sk0_0) ),
introduced(split_symbol_definition) ).
fof(f933,plain,
( unequally_directed_lines(sk0_0,sk0_0)
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f932]) ).
fof(f935,plain,
( spl0_32
<=> unequally_directed_lines(sk0_0,reverse_line(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f936,plain,
( unequally_directed_lines(sk0_0,reverse_line(sk0_0))
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f935]) ).
fof(f938,plain,
( unequally_directed_lines(sk0_0,sk0_0)
| unequally_directed_lines(sk0_0,reverse_line(sk0_0)) ),
inference(resolution,[status(thm)],[f929,f132]) ).
fof(f939,plain,
( spl0_31
| spl0_32 ),
inference(split_clause,[status(thm)],[f938,f932,f935]) ).
fof(f940,plain,
( $false
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f933,f78]) ).
fof(f941,plain,
~ spl0_31,
inference(contradiction_clause,[status(thm)],[f940]) ).
fof(f1063,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,reverse_line(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f91,f98]) ).
fof(f1099,plain,
! [X0] :
( unequally_directed_lines(sk0_0,X0)
| unequally_directed_lines(reverse_line(sk0_0),X0)
| ~ spl0_32 ),
inference(resolution,[status(thm)],[f936,f81]) ).
fof(f1109,plain,
! [X0] :
( unequally_directed_lines(sk0_0,reverse_line(X0))
| ~ unequally_directed_lines(reverse_line(sk0_0),X0)
| left_convergent_lines(reverse_line(sk0_0),reverse_line(X0))
| ~ spl0_32 ),
inference(resolution,[status(thm)],[f1099,f1063]) ).
fof(f1110,plain,
! [X0] :
( unequally_directed_lines(sk0_0,reverse_line(X0))
| ~ unequally_directed_lines(reverse_line(sk0_0),X0)
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f1109,f98]) ).
fof(f1116,plain,
! [X0,X1] :
( unequally_directed_lines(sk0_0,X0)
| unequally_directed_lines(reverse_line(sk0_0),X1)
| unequally_directed_lines(X0,X1)
| ~ spl0_32 ),
inference(resolution,[status(thm)],[f1099,f81]) ).
fof(f1132,plain,
! [X0] :
( unequally_directed_lines(sk0_0,reverse_line(X0))
| unequally_directed_lines(sk0_0,X0)
| ~ spl0_32 ),
inference(resolution,[status(thm)],[f1110,f1099]) ).
fof(f1168,plain,
! [X0,X1] :
( unequally_directed_lines(sk0_0,X0)
| unequally_directed_lines(X0,X1)
| unequally_directed_lines(sk0_0,reverse_line(X1))
| ~ spl0_32 ),
inference(resolution,[status(thm)],[f1116,f1110]) ).
fof(f1387,plain,
! [X0,X1] :
( unequally_directed_lines(sk0_0,X0)
| unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(sk0_0,X1)
| left_convergent_lines(sk0_0,reverse_line(X1))
| ~ spl0_32 ),
inference(resolution,[status(thm)],[f1168,f1063]) ).
fof(f1388,plain,
! [X0,X1] :
( unequally_directed_lines(sk0_0,X0)
| unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(sk0_0,X1)
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f1387,f98]) ).
fof(f1529,plain,
! [X0,X1] :
( unequally_directed_lines(sk0_0,X0)
| unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(sk0_0,X1)
| ~ spl0_32 ),
inference(resolution,[status(thm)],[f1388,f1132]) ).
fof(f1972,plain,
! [X0,X1] :
( unequally_directed_lines(sk0_0,line_connecting(X0,X1))
| unequally_directed_lines(sk0_0,line_connecting(X1,X0))
| ~ spl0_32 ),
inference(resolution,[status(thm)],[f1529,f116]) ).
fof(f3851,plain,
! [X0,X1] :
( unequally_directed_lines(sk0_0,X0)
| unequally_directed_lines(line_connecting(X1,X1),X0)
| ~ spl0_32 ),
inference(resolution,[status(thm)],[f1972,f81]) ).
fof(f3860,plain,
! [X0] :
( unequally_directed_lines(sk0_0,line_connecting(X0,X0))
| ~ spl0_32 ),
inference(factoring,[status(esa)],[f1972]) ).
fof(f4186,plain,
! [X0] :
( unequally_directed_lines(sk0_0,reverse_line(line_connecting(X0,X0)))
| ~ spl0_32 ),
inference(resolution,[status(thm)],[f3851,f116]) ).
fof(f4212,plain,
! [X0] :
( ~ unequally_directed_lines(sk0_0,line_connecting(X0,X0))
| left_convergent_lines(sk0_0,reverse_line(line_connecting(X0,X0)))
| ~ spl0_32 ),
inference(resolution,[status(thm)],[f4186,f1063]) ).
fof(f4213,plain,
! [X0] :
( left_convergent_lines(sk0_0,reverse_line(line_connecting(X0,X0)))
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f4212,f3860]) ).
fof(f4230,plain,
( $false
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f4213,f98]) ).
fof(f4231,plain,
~ spl0_32,
inference(contradiction_clause,[status(thm)],[f4230]) ).
fof(f4232,plain,
$false,
inference(sat_refutation,[status(thm)],[f939,f941,f4231]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO260+1 : TPTP v8.1.2. Bugfixed v8.1.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 May 30 11:57:34 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 1.47/0.55 % Refutation found
% 1.47/0.55 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.47/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.47/0.56 % Elapsed time: 0.207917 seconds
% 1.47/0.56 % CPU time: 1.552614 seconds
% 1.47/0.56 % Memory used: 19.204 MB
%------------------------------------------------------------------------------