TSTP Solution File: GEO171+3 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO171+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n011.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 05:24:50 EDT 2022
% Result : Theorem 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 4
% Syntax : Number of formulae : 35 ( 13 unt; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 54 ( 20 ~; 27 |; 2 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 45 ( 0 sgn 27 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(apart3,axiom,
! [X] : ~ convergent_lines(X,X) ).
fof(ax6,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ) ).
fof(ceq3,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( distinct_lines(Y,Z)
| convergent_lines(X,Z) ) ) ).
fof(con,conjecture,
! [X,Y] :
( convergent_lines(X,Y)
=> distinct_lines(X,Y) ) ).
fof(subgoal_0,plain,
! [X,Y] :
( convergent_lines(X,Y)
=> distinct_lines(X,Y) ),
inference(strip,[],[con]) ).
fof(negate_0_0,plain,
~ ! [X,Y] :
( convergent_lines(X,Y)
=> distinct_lines(X,Y) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X,Y] :
( ~ distinct_lines(X,Y)
& convergent_lines(X,Y) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ distinct_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)
& convergent_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ distinct_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X,Y,Z] :
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| convergent_lines(Y,Z) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_0_4,plain,
! [X,Y,Z] :
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| convergent_lines(Y,Z) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
convergent_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_6,plain,
! [X] : ~ convergent_lines(X,X),
inference(canonicalize,[],[apart3]) ).
fof(normalize_0_7,plain,
! [X] : ~ convergent_lines(X,X),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X,Y,Z] :
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| distinct_lines(Y,Z) ),
inference(canonicalize,[],[ceq3]) ).
fof(normalize_0_9,plain,
! [X,Y,Z] :
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| distinct_lines(Y,Z) ),
inference(specialize,[],[normalize_0_8]) ).
cnf(refute_0_0,plain,
~ distinct_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| convergent_lines(Y,Z) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ convergent_lines(skolemFOFtoCNF_Y,X_62)
| convergent_lines(X_62,Z)
| convergent_lines(skolemFOFtoCNF_Y,Z) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(skolemFOFtoCNF_Y)),bind(Y,$fot(X_62))]]) ).
cnf(refute_0_3,plain,
convergent_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_4,plain,
( ~ convergent_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)
| convergent_lines(skolemFOFtoCNF_X,X_61)
| convergent_lines(skolemFOFtoCNF_Y,X_61) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(skolemFOFtoCNF_Y)),bind(Z,$fot(X_61))]]) ).
cnf(refute_0_5,plain,
( convergent_lines(skolemFOFtoCNF_X,X_61)
| convergent_lines(skolemFOFtoCNF_Y,X_61) ),
inference(resolve,[$cnf( convergent_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( convergent_lines(skolemFOFtoCNF_X,X_62)
| convergent_lines(skolemFOFtoCNF_Y,X_62) ),
inference(subst,[],[refute_0_5:[bind(X_61,$fot(X_62))]]) ).
cnf(refute_0_7,plain,
( convergent_lines(X_62,Z)
| convergent_lines(skolemFOFtoCNF_X,X_62)
| convergent_lines(skolemFOFtoCNF_Y,Z) ),
inference(resolve,[$cnf( convergent_lines(skolemFOFtoCNF_Y,X_62) )],[refute_0_6,refute_0_2]) ).
cnf(refute_0_8,plain,
( convergent_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_X)
| convergent_lines(skolemFOFtoCNF_Y,skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_7:[bind(Z,$fot(skolemFOFtoCNF_X)),bind(X_62,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_9,plain,
~ convergent_lines(X,X),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_10,plain,
~ convergent_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_X),
inference(subst,[],[refute_0_9:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_11,plain,
convergent_lines(skolemFOFtoCNF_Y,skolemFOFtoCNF_X),
inference(resolve,[$cnf( convergent_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_X) )],[refute_0_8,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| distinct_lines(Y,Z) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_13,plain,
( ~ convergent_lines(skolemFOFtoCNF_Y,skolemFOFtoCNF_X)
| convergent_lines(skolemFOFtoCNF_Y,X_76)
| distinct_lines(skolemFOFtoCNF_X,X_76) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(skolemFOFtoCNF_Y)),bind(Y,$fot(skolemFOFtoCNF_X)),bind(Z,$fot(X_76))]]) ).
cnf(refute_0_14,plain,
( convergent_lines(skolemFOFtoCNF_Y,X_76)
| distinct_lines(skolemFOFtoCNF_X,X_76) ),
inference(resolve,[$cnf( convergent_lines(skolemFOFtoCNF_Y,skolemFOFtoCNF_X) )],[refute_0_11,refute_0_13]) ).
cnf(refute_0_15,plain,
( convergent_lines(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y)
| distinct_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_14:[bind(X_76,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_16,plain,
convergent_lines(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y),
inference(resolve,[$cnf( distinct_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) )],[refute_0_15,refute_0_0]) ).
cnf(refute_0_17,plain,
~ convergent_lines(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y),
inference(subst,[],[refute_0_9:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_18,plain,
$false,
inference(resolve,[$cnf( convergent_lines(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_16,refute_0_17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO171+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 18:26:53 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38
% 0.13/0.38 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.38
%------------------------------------------------------------------------------