TSTP Solution File: GEO227+3 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO227+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.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 05:25:39 EDT 2022
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 42 ( 7 unt; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 79 ( 38 ~; 24 |; 6 &)
% ( 9 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 64 ( 0 sgn 42 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(a1_defns,axiom,
! [X,Y] :
( unequally_directed_opposite_lines(X,Y)
<=> unequally_directed_lines(X,reverse_line(Y)) ) ).
fof(a4_defns,axiom,
! [X,Y] :
( equally_directed_lines(X,Y)
<=> ~ unequally_directed_lines(X,Y) ) ).
fof(a5_defns,axiom,
! [X,Y] :
( equally_directed_opposite_lines(X,Y)
<=> ~ unequally_directed_opposite_lines(X,Y) ) ).
fof(ax8_basics,axiom,
! [L,M] :
( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ) ).
fof(con,conjecture,
! [L,M] :
~ ( equally_directed_lines(L,M)
& equally_directed_opposite_lines(L,M) ) ).
fof(subgoal_0,plain,
! [L,M] :
( equally_directed_lines(L,M)
=> ~ equally_directed_opposite_lines(L,M) ),
inference(strip,[],[con]) ).
fof(negate_0_0,plain,
~ ! [L,M] :
( equally_directed_lines(L,M)
=> ~ equally_directed_opposite_lines(L,M) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [X,Y] :
( ~ equally_directed_lines(X,Y)
<=> unequally_directed_lines(X,Y) ),
inference(canonicalize,[],[a4_defns]) ).
fof(normalize_0_1,plain,
! [X,Y] :
( ~ equally_directed_lines(X,Y)
<=> unequally_directed_lines(X,Y) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X,Y] :
( ( ~ equally_directed_lines(X,Y)
| ~ unequally_directed_lines(X,Y) )
& ( equally_directed_lines(X,Y)
| unequally_directed_lines(X,Y) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X,Y] :
( ~ equally_directed_lines(X,Y)
| ~ unequally_directed_lines(X,Y) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
? [L,M] :
( equally_directed_lines(L,M)
& equally_directed_opposite_lines(L,M) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_5,plain,
( equally_directed_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M)
& equally_directed_opposite_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M) ),
inference(skolemize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
equally_directed_opposite_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X,Y] :
( ~ equally_directed_opposite_lines(X,Y)
<=> unequally_directed_opposite_lines(X,Y) ),
inference(canonicalize,[],[a5_defns]) ).
fof(normalize_0_8,plain,
! [X,Y] :
( ~ equally_directed_opposite_lines(X,Y)
<=> unequally_directed_opposite_lines(X,Y) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X,Y] :
( ( ~ equally_directed_opposite_lines(X,Y)
| ~ unequally_directed_opposite_lines(X,Y) )
& ( equally_directed_opposite_lines(X,Y)
| unequally_directed_opposite_lines(X,Y) ) ),
inference(clausify,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X,Y] :
( ~ equally_directed_opposite_lines(X,Y)
| ~ unequally_directed_opposite_lines(X,Y) ),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [X,Y] :
( ~ unequally_directed_lines(X,reverse_line(Y))
<=> ~ unequally_directed_opposite_lines(X,Y) ),
inference(canonicalize,[],[a1_defns]) ).
fof(normalize_0_12,plain,
! [X,Y] :
( ~ unequally_directed_lines(X,reverse_line(Y))
<=> ~ unequally_directed_opposite_lines(X,Y) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,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_12]) ).
fof(normalize_0_14,plain,
! [X,Y] :
( ~ unequally_directed_lines(X,reverse_line(Y))
| unequally_directed_opposite_lines(X,Y) ),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [L,M] :
( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ),
inference(canonicalize,[],[ax8_basics]) ).
fof(normalize_0_16,plain,
! [L,M] :
( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
equally_directed_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M),
inference(conjunct,[],[normalize_0_5]) ).
cnf(refute_0_0,plain,
( ~ equally_directed_lines(X,Y)
| ~ unequally_directed_lines(X,Y) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ equally_directed_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M)
| ~ unequally_directed_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_L)),bind(Y,$fot(skolemFOFtoCNF_M))]]) ).
cnf(refute_0_2,plain,
equally_directed_opposite_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
( ~ equally_directed_opposite_lines(X,Y)
| ~ unequally_directed_opposite_lines(X,Y) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_4,plain,
( ~ equally_directed_opposite_lines(X_38,X_39)
| ~ unequally_directed_opposite_lines(X_38,X_39) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(X_38)),bind(Y,$fot(X_39))]]) ).
cnf(refute_0_5,plain,
( ~ unequally_directed_lines(X,reverse_line(Y))
| unequally_directed_opposite_lines(X,Y) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_6,plain,
( ~ unequally_directed_lines(X_36,reverse_line(X_37))
| unequally_directed_opposite_lines(X_36,X_37) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_36)),bind(Y,$fot(X_37))]]) ).
cnf(refute_0_7,plain,
( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_8,plain,
( unequally_directed_lines(X_36,X_37)
| unequally_directed_lines(X_36,reverse_line(X_37)) ),
inference(subst,[],[refute_0_7:[bind(L,$fot(X_36)),bind(M,$fot(X_37))]]) ).
cnf(refute_0_9,plain,
( unequally_directed_lines(X_36,X_37)
| unequally_directed_opposite_lines(X_36,X_37) ),
inference(resolve,[$cnf( unequally_directed_lines(X_36,reverse_line(X_37)) )],[refute_0_8,refute_0_6]) ).
cnf(refute_0_10,plain,
( unequally_directed_lines(X_38,X_39)
| unequally_directed_opposite_lines(X_38,X_39) ),
inference(subst,[],[refute_0_9:[bind(X_36,$fot(X_38)),bind(X_37,$fot(X_39))]]) ).
cnf(refute_0_11,plain,
( ~ equally_directed_opposite_lines(X_38,X_39)
| unequally_directed_lines(X_38,X_39) ),
inference(resolve,[$cnf( unequally_directed_opposite_lines(X_38,X_39) )],[refute_0_10,refute_0_4]) ).
cnf(refute_0_12,plain,
( ~ equally_directed_opposite_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M)
| unequally_directed_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M) ),
inference(subst,[],[refute_0_11:[bind(X_38,$fot(skolemFOFtoCNF_L)),bind(X_39,$fot(skolemFOFtoCNF_M))]]) ).
cnf(refute_0_13,plain,
unequally_directed_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M),
inference(resolve,[$cnf( equally_directed_opposite_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M) )],[refute_0_2,refute_0_12]) ).
cnf(refute_0_14,plain,
~ equally_directed_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M),
inference(resolve,[$cnf( unequally_directed_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M) )],[refute_0_13,refute_0_1]) ).
cnf(refute_0_15,plain,
equally_directed_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_16,plain,
$false,
inference(resolve,[$cnf( equally_directed_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M) )],[refute_0_15,refute_0_14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO227+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n019.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 : Sat Jun 18 14:41:24 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
%------------------------------------------------------------------------------