TSTP Solution File: GEO245+3 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO245+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n003.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 05:25:50 EDT 2022
% Result : Theorem 0.20s 0.36s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 10 ~; 1 |; 7 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 2 sgn 19 !; 3 ?)
% 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] :
( distinct_points(A,B)
=> ( left_apart_point(C,line_connecting(A,B))
=> right_apart_point(B,line_connecting(A,C)) ) ) ).
fof(subgoal_0,plain,
! [A,B,C] :
( ( distinct_points(A,B)
& left_apart_point(C,line_connecting(A,B)) )
=> right_apart_point(B,line_connecting(A,C)) ),
inference(strip,[],[con]) ).
fof(negate_0_0,plain,
~ ! [A,B,C] :
( ( distinct_points(A,B)
& left_apart_point(C,line_connecting(A,B)) )
=> right_apart_point(B,line_connecting(A,C)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C] :
( ~ right_apart_point(B,line_connecting(A,C))
& distinct_points(A,B)
& left_apart_point(C,line_connecting(A,B)) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ right_apart_point(skolemFOFtoCNF_B,line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_C))
& distinct_points(skolemFOFtoCNF_A,skolemFOFtoCNF_B)
& left_apart_point(skolemFOFtoCNF_C,line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
left_apart_point(skolemFOFtoCNF_C,line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
( ! [A,L] : ~ left_apart_point(A,L)
& ! [A,L] : ~ left_apart_point(A,reverse_line(L)) ),
inference(canonicalize,[],[ax10_basics]) ).
fof(normalize_0_4,plain,
! [A,L] : ~ left_apart_point(A,L),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A,L] : ~ left_apart_point(A,L),
inference(specialize,[],[normalize_0_4]) ).
cnf(refute_0_0,plain,
left_apart_point(skolemFOFtoCNF_C,line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
~ left_apart_point(A,L),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_2,plain,
~ left_apart_point(skolemFOFtoCNF_C,line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_C)),bind(L,$fot(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_3,plain,
$false,
inference(resolve,[$cnf( left_apart_point(skolemFOFtoCNF_C,line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) )],[refute_0_0,refute_0_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO245+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 10:52:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.36
% 0.20/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.36
%------------------------------------------------------------------------------