TSTP Solution File: GEO233+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO233+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n008.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 05:25:42 EDT 2022
% Result : Theorem 0.21s 0.37s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 47 ( 20 unt; 0 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 99 ( 50 ~; 39 |; 5 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 67 ( 6 sgn 43 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con_def,axiom,
! [L,M] :
( convergent_lines(L,M)
<=> ( unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) ) ) ).
fof(oag5,axiom,
! [L] : ~ unequally_directed_lines(L,L) ).
fof(oag6,axiom,
! [L,M,N] :
( unequally_directed_lines(L,M)
=> ( unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ) ) ).
fof(oag9,axiom,
! [L,M] :
( ( unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) )
=> ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ) ) ).
fof(oag11,axiom,
! [L,M] :
~ ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ) ).
fof(con,conjecture,
! [L] : ~ unequally_directed_lines(reverse_line(reverse_line(L)),L) ).
fof(subgoal_0,plain,
! [L] : ~ unequally_directed_lines(reverse_line(reverse_line(L)),L),
inference(strip,[],[con]) ).
fof(negate_0_0,plain,
~ ! [L] : ~ unequally_directed_lines(reverse_line(reverse_line(L)),L),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [L] : unequally_directed_lines(reverse_line(reverse_line(L)),L),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),skolemFOFtoCNF_L),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [L,M] :
( ~ convergent_lines(L,M)
<=> ( ~ unequally_directed_lines(L,M)
| ~ unequally_directed_lines(L,reverse_line(M)) ) ),
inference(canonicalize,[],[con_def]) ).
fof(normalize_0_3,plain,
! [L,M] :
( ~ convergent_lines(L,M)
<=> ( ~ unequally_directed_lines(L,M)
| ~ unequally_directed_lines(L,reverse_line(M)) ) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [L,M] :
( ( ~ convergent_lines(L,M)
| unequally_directed_lines(L,M) )
& ( ~ convergent_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) )
& ( ~ unequally_directed_lines(L,M)
| ~ unequally_directed_lines(L,reverse_line(M))
| convergent_lines(L,M) ) ),
inference(clausify,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [L,M] :
( ~ unequally_directed_lines(L,M)
| ~ unequally_directed_lines(L,reverse_line(M))
| convergent_lines(L,M) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [L,M] :
( ~ unequally_directed_lines(L,M)
| ~ unequally_directed_lines(L,reverse_line(M))
| left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
inference(canonicalize,[],[oag9]) ).
fof(normalize_0_7,plain,
! [L,M] :
( ~ convergent_lines(L,M)
| left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
inference(simplify,[],[normalize_0_6,normalize_0_3]) ).
fof(normalize_0_8,plain,
! [L,M] :
( ~ convergent_lines(L,M)
| left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
( ! [L,M] : ~ left_convergent_lines(L,M)
& ! [L,M] : ~ left_convergent_lines(L,reverse_line(M)) ),
inference(canonicalize,[],[oag11]) ).
fof(normalize_0_10,plain,
! [L,M] : ~ left_convergent_lines(L,M),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [L,M] : ~ left_convergent_lines(L,M),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [L,M,N] :
( ~ unequally_directed_lines(L,M)
| unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ),
inference(canonicalize,[],[oag6]) ).
fof(normalize_0_13,plain,
! [L,M,N] :
( ~ unequally_directed_lines(L,M)
| unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [L] : ~ unequally_directed_lines(L,L),
inference(canonicalize,[],[oag5]) ).
fof(normalize_0_15,plain,
! [L] : ~ unequally_directed_lines(L,L),
inference(specialize,[],[normalize_0_14]) ).
cnf(refute_0_0,plain,
unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),skolemFOFtoCNF_L),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( ~ unequally_directed_lines(L,M)
| ~ unequally_directed_lines(L,reverse_line(M))
| convergent_lines(L,M) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_2,plain,
( ~ convergent_lines(L,M)
| left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_3,plain,
~ left_convergent_lines(L,M),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_4,plain,
( ~ convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
inference(resolve,[$cnf( left_convergent_lines(L,M) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
~ left_convergent_lines(L,reverse_line(M)),
inference(subst,[],[refute_0_3:[bind(M,$fot(reverse_line(M)))]]) ).
cnf(refute_0_6,plain,
~ convergent_lines(L,M),
inference(resolve,[$cnf( left_convergent_lines(L,reverse_line(M)) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ unequally_directed_lines(L,M)
| ~ unequally_directed_lines(L,reverse_line(M)) ),
inference(resolve,[$cnf( convergent_lines(L,M) )],[refute_0_1,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),M)
| ~ unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),reverse_line(M)) ),
inference(subst,[],[refute_0_7:[bind(L,$fot(reverse_line(reverse_line(skolemFOFtoCNF_L))))]]) ).
cnf(refute_0_9,plain,
( ~ unequally_directed_lines(L,M)
| unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_10,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),skolemFOFtoCNF_L)
| unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),X_45)
| unequally_directed_lines(skolemFOFtoCNF_L,X_45) ),
inference(subst,[],[refute_0_9:[bind(L,$fot(reverse_line(reverse_line(skolemFOFtoCNF_L)))),bind(M,$fot(skolemFOFtoCNF_L)),bind(N,$fot(X_45))]]) ).
cnf(refute_0_11,plain,
( unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),X_45)
| unequally_directed_lines(skolemFOFtoCNF_L,X_45) ),
inference(resolve,[$cnf( unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),skolemFOFtoCNF_L) )],[refute_0_0,refute_0_10]) ).
cnf(refute_0_12,plain,
( unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),reverse_line(M))
| unequally_directed_lines(skolemFOFtoCNF_L,reverse_line(M)) ),
inference(subst,[],[refute_0_11:[bind(X_45,$fot(reverse_line(M)))]]) ).
cnf(refute_0_13,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),M)
| unequally_directed_lines(skolemFOFtoCNF_L,reverse_line(M)) ),
inference(resolve,[$cnf( unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),reverse_line(M)) )],[refute_0_12,refute_0_8]) ).
cnf(refute_0_14,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),skolemFOFtoCNF_L)
| unequally_directed_lines(skolemFOFtoCNF_L,reverse_line(skolemFOFtoCNF_L)) ),
inference(subst,[],[refute_0_13:[bind(M,$fot(skolemFOFtoCNF_L))]]) ).
cnf(refute_0_15,plain,
unequally_directed_lines(skolemFOFtoCNF_L,reverse_line(skolemFOFtoCNF_L)),
inference(resolve,[$cnf( unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),skolemFOFtoCNF_L) )],[refute_0_0,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ unequally_directed_lines(skolemFOFtoCNF_L,reverse_line(reverse_line(skolemFOFtoCNF_L)))
| ~ unequally_directed_lines(skolemFOFtoCNF_L,reverse_line(skolemFOFtoCNF_L)) ),
inference(subst,[],[refute_0_7:[bind(L,$fot(skolemFOFtoCNF_L)),bind(M,$fot(reverse_line(skolemFOFtoCNF_L)))]]) ).
cnf(refute_0_17,plain,
~ unequally_directed_lines(L,L),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_18,plain,
~ unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),reverse_line(reverse_line(skolemFOFtoCNF_L))),
inference(subst,[],[refute_0_17:[bind(L,$fot(reverse_line(reverse_line(skolemFOFtoCNF_L))))]]) ).
cnf(refute_0_19,plain,
( unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),reverse_line(reverse_line(skolemFOFtoCNF_L)))
| unequally_directed_lines(skolemFOFtoCNF_L,reverse_line(reverse_line(skolemFOFtoCNF_L))) ),
inference(subst,[],[refute_0_11:[bind(X_45,$fot(reverse_line(reverse_line(skolemFOFtoCNF_L))))]]) ).
cnf(refute_0_20,plain,
unequally_directed_lines(skolemFOFtoCNF_L,reverse_line(reverse_line(skolemFOFtoCNF_L))),
inference(resolve,[$cnf( unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),reverse_line(reverse_line(skolemFOFtoCNF_L))) )],[refute_0_19,refute_0_18]) ).
cnf(refute_0_21,plain,
~ unequally_directed_lines(skolemFOFtoCNF_L,reverse_line(skolemFOFtoCNF_L)),
inference(resolve,[$cnf( unequally_directed_lines(skolemFOFtoCNF_L,reverse_line(reverse_line(skolemFOFtoCNF_L))) )],[refute_0_20,refute_0_16]) ).
cnf(refute_0_22,plain,
$false,
inference(resolve,[$cnf( unequally_directed_lines(skolemFOFtoCNF_L,reverse_line(skolemFOFtoCNF_L)) )],[refute_0_15,refute_0_21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO233+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n008.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 13:41:22 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.21/0.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.37
% 0.21/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.21/0.37
%------------------------------------------------------------------------------