TSTP Solution File: GEO247+3 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO247+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 : 600s
% DateTime : Sat Jul 16 05:25:51 EDT 2022
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 41 ( 7 ~; 1 |; 30 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 34 ( 0 sgn 28 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax10_basics,axiom,
! [A,L] :
~ ( left_apart_point(A,L)
| left_apart_point(A,reverse_line(L)) ) ).
fof(con,conjecture,
! [A,B,C,D,L,M] :
( ( left_apart_point(A,L)
& left_apart_point(A,M)
& right_apart_point(B,L)
& right_apart_point(B,M)
& left_apart_point(C,L)
& right_apart_point(C,M)
& right_apart_point(D,L)
& left_apart_point(D,M) )
=> convergent_lines(L,M) ) ).
fof(subgoal_0,plain,
! [A,B,C,D,L,M] :
( ( left_apart_point(A,L)
& left_apart_point(A,M)
& right_apart_point(B,L)
& right_apart_point(B,M)
& left_apart_point(C,L)
& right_apart_point(C,M)
& right_apart_point(D,L)
& left_apart_point(D,M) )
=> convergent_lines(L,M) ),
inference(strip,[],[con]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,D,L,M] :
( ( left_apart_point(A,L)
& left_apart_point(A,M)
& right_apart_point(B,L)
& right_apart_point(B,M)
& left_apart_point(C,L)
& right_apart_point(C,M)
& right_apart_point(D,L)
& left_apart_point(D,M) )
=> convergent_lines(L,M) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C,D,L,M] :
( ~ convergent_lines(L,M)
& left_apart_point(A,L)
& left_apart_point(A,M)
& left_apart_point(C,L)
& left_apart_point(D,M)
& right_apart_point(B,L)
& right_apart_point(B,M)
& right_apart_point(C,M)
& right_apart_point(D,L) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ! [A,L] : ~ left_apart_point(A,L)
& ! [A,L] : ~ left_apart_point(A,reverse_line(L)) ),
inference(canonicalize,[],[ax10_basics]) ).
fof(normalize_0_2,plain,
! [A,L] : ~ left_apart_point(A,L),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,L] : ~ left_apart_point(A,L),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
$false,
inference(simplify,[],[normalize_0_0,normalize_0_3]) ).
cnf(refute_0_0,plain,
$false,
inference(canonicalize,[],[normalize_0_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO247+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n027.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 17 20:39:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37
% 0.13/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.37
%------------------------------------------------------------------------------