%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO171+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 05:24:49 EDT 2022
% Result : Theorem 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 4
% Syntax : Number of formulae : 39 ( 12 unt; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 66 ( 21 ~; 38 |; 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 : 58 ( 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,Z] :
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| convergent_lines(Y,Z) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_0_1,plain,
! [X,Y,Z] :
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| convergent_lines(Y,Z) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
? [X,Y] :
( ~ distinct_lines(X,Y)
& convergent_lines(X,Y) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_3,plain,
( ~ distinct_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)
& convergent_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) ),
inference(skolemize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
convergent_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X] : ~ convergent_lines(X,X),
inference(canonicalize,[],[apart3]) ).
fof(normalize_0_6,plain,
! [X] : ~ convergent_lines(X,X),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X,Y,Z] :
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| distinct_lines(Y,Z) ),
inference(canonicalize,[],[ceq3]) ).
fof(normalize_0_8,plain,
! [X,Y,Z] :
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| distinct_lines(Y,Z) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
~ distinct_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),
inference(conjunct,[],[normalize_0_3]) ).
cnf(refute_0_0,plain,
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| convergent_lines(Y,Z) ),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( ~ convergent_lines(X_22,X_21)
| convergent_lines(X_21,Z)
| convergent_lines(X_22,Z) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(X_22)),bind(Y,$fot(X_21))]]) ).
cnf(refute_0_2,plain,
( ~ convergent_lines(skolemFOFtoCNF_Y,X_20)
| convergent_lines(X_20,Z)
| convergent_lines(skolemFOFtoCNF_Y,Z) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_Y)),bind(Y,$fot(X_20))]]) ).
cnf(refute_0_3,plain,
convergent_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_4,plain,
( ~ convergent_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)
| convergent_lines(skolemFOFtoCNF_X,X_19)
| convergent_lines(skolemFOFtoCNF_Y,X_19) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(skolemFOFtoCNF_Y)),bind(Z,$fot(X_19))]]) ).
cnf(refute_0_5,plain,
( convergent_lines(skolemFOFtoCNF_X,X_19)
| convergent_lines(skolemFOFtoCNF_Y,X_19) ),
inference(resolve,[$cnf( convergent_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( convergent_lines(skolemFOFtoCNF_X,X_20)
| convergent_lines(skolemFOFtoCNF_Y,X_20) ),
inference(subst,[],[refute_0_5:[bind(X_19,$fot(X_20))]]) ).
cnf(refute_0_7,plain,
( convergent_lines(X_20,Z)
| convergent_lines(skolemFOFtoCNF_X,X_20)
| convergent_lines(skolemFOFtoCNF_Y,Z) ),
inference(resolve,[$cnf( convergent_lines(skolemFOFtoCNF_Y,X_20) )],[refute_0_6,refute_0_2]) ).
cnf(refute_0_8,plain,
( convergent_lines(X_22,X_21)
| convergent_lines(skolemFOFtoCNF_X,X_22)
| convergent_lines(skolemFOFtoCNF_Y,X_21) ),
inference(subst,[],[refute_0_7:[bind(Z,$fot(X_21)),bind(X_20,$fot(X_22))]]) ).
cnf(refute_0_9,plain,
( convergent_lines(X_21,Z)
| convergent_lines(X_22,Z)
| convergent_lines(skolemFOFtoCNF_X,X_22)
| convergent_lines(skolemFOFtoCNF_Y,X_21) ),
inference(resolve,[$cnf( convergent_lines(X_22,X_21) )],[refute_0_8,refute_0_1]) ).
cnf(refute_0_10,plain,
( convergent_lines(X_21,skolemFOFtoCNF_X)
| convergent_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_X)
| convergent_lines(skolemFOFtoCNF_Y,X_21) ),
inference(subst,[],[refute_0_9:[bind(Z,$fot(skolemFOFtoCNF_X)),bind(X_22,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_11,plain,
~ convergent_lines(X,X),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_12,plain,
~ convergent_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_X),
inference(subst,[],[refute_0_11:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_13,plain,
( convergent_lines(X_21,skolemFOFtoCNF_X)
| convergent_lines(skolemFOFtoCNF_Y,X_21) ),
inference(resolve,[$cnf( convergent_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_X) )],[refute_0_10,refute_0_12]) ).
cnf(refute_0_14,plain,
( convergent_lines(X_31,skolemFOFtoCNF_X)
| convergent_lines(skolemFOFtoCNF_Y,X_31) ),
inference(subst,[],[refute_0_13:[bind(X_21,$fot(X_31))]]) ).
cnf(refute_0_15,plain,
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| distinct_lines(Y,Z) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_16,plain,
( ~ convergent_lines(X_31,skolemFOFtoCNF_X)
| convergent_lines(X_31,X_33)
| distinct_lines(skolemFOFtoCNF_X,X_33) ),
inference(subst,[],[refute_0_15:[bind(X,$fot(X_31)),bind(Y,$fot(skolemFOFtoCNF_X)),bind(Z,$fot(X_33))]]) ).
cnf(refute_0_17,plain,
( convergent_lines(X_31,X_33)
| convergent_lines(skolemFOFtoCNF_Y,X_31)
| distinct_lines(skolemFOFtoCNF_X,X_33) ),
inference(resolve,[$cnf( convergent_lines(X_31,skolemFOFtoCNF_X) )],[refute_0_14,refute_0_16]) ).
cnf(refute_0_18,plain,
( convergent_lines(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y)
| distinct_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_17:[bind(X_31,$fot(skolemFOFtoCNF_Y)),bind(X_33,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_19,plain,
~ convergent_lines(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y),
inference(subst,[],[refute_0_11:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_20,plain,
distinct_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),
inference(resolve,[$cnf( convergent_lines(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
~ distinct_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_22,plain,
$false,
inference(resolve,[$cnf( distinct_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) )],[refute_0_20,refute_0_21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO171+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 02:22:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36
% 0.12/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.36
%------------------------------------------------------------------------------