TSTP Solution File: GEO257+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO257+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %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 : 600s
% DateTime : Sat Jul 16 05:25:57 EDT 2022
% Result : Theorem 0.18s 0.35s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 47 ( 15 ~; 1 |; 27 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 34 ( 2 sgn 25 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(oag10,axiom,
! [A,L] :
~ ( left_apart_point(A,L)
| left_apart_point(A,reverse_line(L)) ) ).
fof(con,conjecture,
! [L,A,B,C,D] :
( ( distinct_points(A,C)
& distinct_points(B,C)
& ~ apart_point_and_line(C,L)
& left_apart_point(D,L) )
=> ( ( before_on_line(L,A,B)
& before_on_line(L,B,C) )
=> before_on_line(L,A,C) ) ) ).
fof(subgoal_0,plain,
! [L,A,B,C,D] :
( ( distinct_points(A,C)
& distinct_points(B,C)
& ~ apart_point_and_line(C,L)
& left_apart_point(D,L)
& before_on_line(L,A,B)
& before_on_line(L,B,C) )
=> before_on_line(L,A,C) ),
inference(strip,[],[con]) ).
fof(negate_0_0,plain,
~ ! [L,A,B,C,D] :
( ( distinct_points(A,C)
& distinct_points(B,C)
& ~ apart_point_and_line(C,L)
& left_apart_point(D,L)
& before_on_line(L,A,B)
& before_on_line(L,B,C) )
=> before_on_line(L,A,C) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C,L] :
( ~ apart_point_and_line(C,L)
& ~ before_on_line(L,A,C)
& before_on_line(L,A,B)
& before_on_line(L,B,C)
& distinct_points(A,C)
& distinct_points(B,C)
& ? [D] : left_apart_point(D,L) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ apart_point_and_line(skolemFOFtoCNF_C,skolemFOFtoCNF_L)
& ~ before_on_line(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_C)
& before_on_line(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_B)
& before_on_line(skolemFOFtoCNF_L,skolemFOFtoCNF_B,skolemFOFtoCNF_C)
& distinct_points(skolemFOFtoCNF_A,skolemFOFtoCNF_C)
& distinct_points(skolemFOFtoCNF_B,skolemFOFtoCNF_C)
& ? [D] : left_apart_point(D,skolemFOFtoCNF_L) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
? [D] : left_apart_point(D,skolemFOFtoCNF_L),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
left_apart_point(skolemFOFtoCNF_D,skolemFOFtoCNF_L),
inference(skolemize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
( ! [A,L] : ~ left_apart_point(A,L)
& ! [A,L] : ~ left_apart_point(A,reverse_line(L)) ),
inference(canonicalize,[],[oag10]) ).
fof(normalize_0_5,plain,
! [A,L] : ~ left_apart_point(A,L),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [A,L] : ~ left_apart_point(A,L),
inference(specialize,[],[normalize_0_5]) ).
cnf(refute_0_0,plain,
left_apart_point(skolemFOFtoCNF_D,skolemFOFtoCNF_L),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
~ left_apart_point(A,L),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_2,plain,
~ left_apart_point(skolemFOFtoCNF_D,skolemFOFtoCNF_L),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_D)),bind(L,$fot(skolemFOFtoCNF_L))]]) ).
cnf(refute_0_3,plain,
$false,
inference(resolve,[$cnf( left_apart_point(skolemFOFtoCNF_D,skolemFOFtoCNF_L) )],[refute_0_0,refute_0_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO257+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.00/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jun 17 20:39:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.35 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.35
% 0.18/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.18/0.35
%------------------------------------------------------------------------------