%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO267+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n015.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 05:26:02 EDT 2022
% Result : Theorem 0.14s 0.37s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 6 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 46 ( 20 ~; 13 |; 7 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 38 ( 0 sgn 25 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(a1_defns,axiom,
! [X,Y] :
( unequally_directed_opposite_lines(X,Y)
<=> unequally_directed_lines(X,reverse_line(Y)) ) ).
fof(ax8_basics,axiom,
! [L,M] :
( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ) ).
fof(con,conjecture,
! [L,M,N] :
( unequally_directed_opposite_lines(L,M)
=> ( unequally_directed_opposite_lines(M,N)
| unequally_directed_lines(M,N) ) ) ).
fof(subgoal_0,plain,
! [L,M,N] :
( ( unequally_directed_opposite_lines(L,M)
& ~ unequally_directed_opposite_lines(M,N) )
=> unequally_directed_lines(M,N) ),
inference(strip,[],[con]) ).
fof(negate_0_0,plain,
~ ! [L,M,N] :
( ( unequally_directed_opposite_lines(L,M)
& ~ unequally_directed_opposite_lines(M,N) )
=> unequally_directed_lines(M,N) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [L,M,N] :
( ~ unequally_directed_lines(M,N)
& ~ unequally_directed_opposite_lines(M,N)
& unequally_directed_opposite_lines(L,M) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ unequally_directed_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_N)
& ~ unequally_directed_opposite_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_N)
& unequally_directed_opposite_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ unequally_directed_opposite_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_N),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X,Y] :
( ~ unequally_directed_lines(X,reverse_line(Y))
<=> ~ unequally_directed_opposite_lines(X,Y) ),
inference(canonicalize,[],[a1_defns]) ).
fof(normalize_0_4,plain,
! [X,Y] :
( ~ unequally_directed_lines(X,reverse_line(Y))
<=> ~ unequally_directed_opposite_lines(X,Y) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X,Y] :
( ( ~ unequally_directed_lines(X,reverse_line(Y))
| unequally_directed_opposite_lines(X,Y) )
& ( ~ unequally_directed_opposite_lines(X,Y)
| unequally_directed_lines(X,reverse_line(Y)) ) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X,Y] :
( ~ unequally_directed_lines(X,reverse_line(Y))
| unequally_directed_opposite_lines(X,Y) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [L,M] :
( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ),
inference(canonicalize,[],[ax8_basics]) ).
fof(normalize_0_8,plain,
! [L,M] :
( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
~ unequally_directed_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_N),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
~ unequally_directed_opposite_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_N),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ unequally_directed_lines(X,reverse_line(Y))
| unequally_directed_opposite_lines(X,Y) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_2,plain,
( ~ unequally_directed_lines(X_38,reverse_line(X_39))
| unequally_directed_opposite_lines(X_38,X_39) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(X_38)),bind(Y,$fot(X_39))]]) ).
cnf(refute_0_3,plain,
( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_4,plain,
( unequally_directed_lines(X_38,X_39)
| unequally_directed_lines(X_38,reverse_line(X_39)) ),
inference(subst,[],[refute_0_3:[bind(L,$fot(X_38)),bind(M,$fot(X_39))]]) ).
cnf(refute_0_5,plain,
( unequally_directed_lines(X_38,X_39)
| unequally_directed_opposite_lines(X_38,X_39) ),
inference(resolve,[$cnf( unequally_directed_lines(X_38,reverse_line(X_39)) )],[refute_0_4,refute_0_2]) ).
cnf(refute_0_6,plain,
( unequally_directed_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_N)
| unequally_directed_opposite_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_N) ),
inference(subst,[],[refute_0_5:[bind(X_38,$fot(skolemFOFtoCNF_M)),bind(X_39,$fot(skolemFOFtoCNF_N))]]) ).
cnf(refute_0_7,plain,
unequally_directed_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_N),
inference(resolve,[$cnf( unequally_directed_opposite_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_N) )],[refute_0_6,refute_0_0]) ).
cnf(refute_0_8,plain,
~ unequally_directed_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_N),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_9,plain,
$false,
inference(resolve,[$cnf( unequally_directed_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_N) )],[refute_0_7,refute_0_8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO267+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 18 09:09:13 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37
% 0.14/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.21/0.37
%------------------------------------------------------------------------------