%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO238+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.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 05:25:45 EDT 2022
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 80 ( 34 ~; 23 |; 17 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 54 ( 9 sgn 37 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(div_def,axiom,
! [A,B,L] :
( divides_points(L,A,B)
<=> ( ( left_apart_point(A,L)
& left_apart_point(B,reverse_line(L)) )
| ( left_apart_point(A,reverse_line(L))
& left_apart_point(B,L) ) ) ) ).
fof(oag10,axiom,
! [A,L] :
~ ( left_apart_point(A,L)
| left_apart_point(A,reverse_line(L)) ) ).
fof(con,conjecture,
! [A,B,C,L] :
( ( divides_points(L,A,B)
& divides_points(L,A,C) )
=> ~ divides_points(L,B,C) ) ).
fof(subgoal_0,plain,
! [A,B,C,L] :
( ( divides_points(L,A,B)
& divides_points(L,A,C) )
=> ~ divides_points(L,B,C) ),
inference(strip,[],[con]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,L] :
( ( divides_points(L,A,B)
& divides_points(L,A,C) )
=> ~ divides_points(L,B,C) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C,L] :
( divides_points(L,A,B)
& divides_points(L,A,C)
& divides_points(L,B,C) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( divides_points(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_B)
& divides_points(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_C)
& divides_points(skolemFOFtoCNF_L,skolemFOFtoCNF_B,skolemFOFtoCNF_C) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
divides_points(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_B),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B,L] :
( ~ divides_points(L,A,B)
<=> ( ( ~ left_apart_point(A,L)
| ~ left_apart_point(B,reverse_line(L)) )
& ( ~ left_apart_point(A,reverse_line(L))
| ~ left_apart_point(B,L) ) ) ),
inference(canonicalize,[],[div_def]) ).
fof(normalize_0_4,plain,
! [A,B,L] :
( ~ divides_points(L,A,B)
<=> ( ( ~ left_apart_point(A,L)
| ~ left_apart_point(B,reverse_line(L)) )
& ( ~ left_apart_point(A,reverse_line(L))
| ~ left_apart_point(B,L) ) ) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A,B,L] :
( ( ~ divides_points(L,A,B)
| left_apart_point(A,L)
| left_apart_point(A,reverse_line(L)) )
& ( ~ divides_points(L,A,B)
| left_apart_point(A,L)
| left_apart_point(B,L) )
& ( ~ divides_points(L,A,B)
| left_apart_point(A,reverse_line(L))
| left_apart_point(B,reverse_line(L)) )
& ( ~ divides_points(L,A,B)
| left_apart_point(B,L)
| left_apart_point(B,reverse_line(L)) )
& ( ~ left_apart_point(A,L)
| ~ left_apart_point(B,reverse_line(L))
| divides_points(L,A,B) )
& ( ~ left_apart_point(A,reverse_line(L))
| ~ left_apart_point(B,L)
| divides_points(L,A,B) ) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [A,B,L] :
( ~ divides_points(L,A,B)
| left_apart_point(A,L)
| left_apart_point(A,reverse_line(L)) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
( ! [A,L] : ~ left_apart_point(A,L)
& ! [A,L] : ~ left_apart_point(A,reverse_line(L)) ),
inference(canonicalize,[],[oag10]) ).
fof(normalize_0_8,plain,
! [A,L] : ~ left_apart_point(A,L),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A,L] : ~ left_apart_point(A,L),
inference(specialize,[],[normalize_0_8]) ).
cnf(refute_0_0,plain,
divides_points(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_B),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ divides_points(L,A,B)
| left_apart_point(A,L)
| left_apart_point(A,reverse_line(L)) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_2,plain,
~ left_apart_point(A,L),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_3,plain,
( ~ divides_points(L,A,B)
| left_apart_point(A,reverse_line(L)) ),
inference(resolve,[$cnf( left_apart_point(A,L) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
~ left_apart_point(A,reverse_line(L)),
inference(subst,[],[refute_0_2:[bind(L,$fot(reverse_line(L)))]]) ).
cnf(refute_0_5,plain,
~ divides_points(L,A,B),
inference(resolve,[$cnf( left_apart_point(A,reverse_line(L)) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
~ divides_points(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_B),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B)),bind(L,$fot(skolemFOFtoCNF_L))]]) ).
cnf(refute_0_7,plain,
$false,
inference(resolve,[$cnf( divides_points(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_B) )],[refute_0_0,refute_0_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO238+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n026.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 : Sat Jun 18 09:45:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35
% 0.12/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.36
%------------------------------------------------------------------------------