TSTP Solution File: GEO259+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO259+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n032.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 05:25:58 EDT 2022
% Result : Theorem 0.78s 1.00s
% Output : CNFRefutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 9
% Syntax : Number of formulae : 100 ( 28 unt; 0 def)
% Number of atoms : 229 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 211 ( 82 ~; 91 |; 28 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 142 ( 6 sgn 67 !; 4 ?)
% 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(oag8,axiom,
! [L,M] :
( ( line(L)
& line(M) )
=> ( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ) ) ).
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(oagco4,axiom,
! [L] :
( line(L)
=> line(reverse_line(L)) ) ).
fof(oagco9,axiom,
! [A,B] : ~ unequally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))) ).
fof(con,conjecture,
! [L,A,B,C] :
( ( line(L)
& distinct_points(A,C)
& distinct_points(B,C)
& distinct_points(A,B) )
=> ~ ( between_on_line(L,A,B,C)
& between_on_line(L,B,A,C) ) ) ).
fof(subgoal_0,plain,
! [L,A,B,C] :
( ( line(L)
& distinct_points(A,C)
& distinct_points(B,C)
& distinct_points(A,B)
& between_on_line(L,A,B,C) )
=> ~ between_on_line(L,B,A,C) ),
inference(strip,[],[con]) ).
fof(negate_0_0,plain,
~ ! [L,A,B,C] :
( ( line(L)
& distinct_points(A,C)
& distinct_points(B,C)
& distinct_points(A,B)
& between_on_line(L,A,B,C) )
=> ~ between_on_line(L,B,A,C) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [A,B] : ~ unequally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))),
inference(canonicalize,[],[oagco9]) ).
fof(normalize_0_1,plain,
! [A,B] : ~ unequally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [L] : ~ unequally_directed_lines(L,L),
inference(canonicalize,[],[oag5]) ).
fof(normalize_0_3,plain,
! [L] : ~ unequally_directed_lines(L,L),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,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_5,plain,
! [L,M,N] :
( ~ unequally_directed_lines(L,M)
| unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [L] :
( ~ line(L)
| line(reverse_line(L)) ),
inference(canonicalize,[],[oagco4]) ).
fof(normalize_0_7,plain,
! [L] :
( ~ line(L)
| line(reverse_line(L)) ),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
? [A,B,C,L] :
( between_on_line(L,A,B,C)
& between_on_line(L,B,A,C)
& distinct_points(A,B)
& distinct_points(A,C)
& distinct_points(B,C)
& line(L) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_9,plain,
( between_on_line(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_B,skolemFOFtoCNF_C)
& between_on_line(skolemFOFtoCNF_L,skolemFOFtoCNF_B,skolemFOFtoCNF_A,skolemFOFtoCNF_C)
& distinct_points(skolemFOFtoCNF_A,skolemFOFtoCNF_B)
& distinct_points(skolemFOFtoCNF_A,skolemFOFtoCNF_C)
& distinct_points(skolemFOFtoCNF_B,skolemFOFtoCNF_C)
& line(skolemFOFtoCNF_L) ),
inference(skolemize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
line(skolemFOFtoCNF_L),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [L,M] :
( ~ line(L)
| ~ line(M)
| unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ),
inference(canonicalize,[],[oag8]) ).
fof(normalize_0_12,plain,
! [L,M] :
( ~ line(L)
| ~ line(M)
| unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,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_14,plain,
! [L,M] :
( ~ convergent_lines(L,M)
<=> ( ~ unequally_directed_lines(L,M)
| ~ unequally_directed_lines(L,reverse_line(M)) ) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,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_14]) ).
fof(normalize_0_16,plain,
! [L,M] :
( ~ unequally_directed_lines(L,M)
| ~ unequally_directed_lines(L,reverse_line(M))
| convergent_lines(L,M) ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_17,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_18,plain,
! [L,M] :
( ~ convergent_lines(L,M)
| left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
inference(simplify,[],[normalize_0_17,normalize_0_14]) ).
fof(normalize_0_19,plain,
! [L,M] :
( ~ convergent_lines(L,M)
| left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
( ! [L,M] : ~ left_convergent_lines(L,M)
& ! [L,M] : ~ left_convergent_lines(L,reverse_line(M)) ),
inference(canonicalize,[],[oag11]) ).
fof(normalize_0_21,plain,
! [L,M] : ~ left_convergent_lines(L,M),
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [L,M] : ~ left_convergent_lines(L,M),
inference(specialize,[],[normalize_0_21]) ).
cnf(refute_0_0,plain,
~ unequally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
~ unequally_directed_lines(line_connecting(A,A),reverse_line(line_connecting(A,A))),
inference(subst,[],[refute_0_0:[bind(B,$fot(A))]]) ).
cnf(refute_0_2,plain,
~ unequally_directed_lines(L,L),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_3,plain,
~ unequally_directed_lines(reverse_line(X_342),reverse_line(X_342)),
inference(subst,[],[refute_0_2:[bind(L,$fot(reverse_line(X_342)))]]) ).
cnf(refute_0_4,plain,
( ~ unequally_directed_lines(L,M)
| unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_5,plain,
( ~ unequally_directed_lines(reverse_line(X_113),X_113)
| unequally_directed_lines(X_113,N)
| unequally_directed_lines(reverse_line(X_113),N) ),
inference(subst,[],[refute_0_4:[bind(L,$fot(reverse_line(X_113))),bind(M,$fot(X_113))]]) ).
cnf(refute_0_6,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),reverse_line(X_85))
| unequally_directed_lines(reverse_line(X_85),N)
| unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),N) ),
inference(subst,[],[refute_0_4:[bind(L,$fot(reverse_line(reverse_line(skolemFOFtoCNF_L)))),bind(M,$fot(reverse_line(X_85)))]]) ).
cnf(refute_0_7,plain,
( ~ line(L)
| line(reverse_line(L)) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_8,plain,
( ~ line(reverse_line(skolemFOFtoCNF_L))
| line(reverse_line(reverse_line(skolemFOFtoCNF_L))) ),
inference(subst,[],[refute_0_7:[bind(L,$fot(reverse_line(skolemFOFtoCNF_L)))]]) ).
cnf(refute_0_9,plain,
line(skolemFOFtoCNF_L),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_10,plain,
( ~ line(skolemFOFtoCNF_L)
| line(reverse_line(skolemFOFtoCNF_L)) ),
inference(subst,[],[refute_0_7:[bind(L,$fot(skolemFOFtoCNF_L))]]) ).
cnf(refute_0_11,plain,
line(reverse_line(skolemFOFtoCNF_L)),
inference(resolve,[$cnf( line(skolemFOFtoCNF_L) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
line(reverse_line(reverse_line(skolemFOFtoCNF_L))),
inference(resolve,[$cnf( line(reverse_line(skolemFOFtoCNF_L)) )],[refute_0_11,refute_0_8]) ).
cnf(refute_0_13,plain,
( ~ line(L)
| ~ line(M)
| unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_14,plain,
( ~ line(M)
| unequally_directed_lines(M,M)
| unequally_directed_lines(M,reverse_line(M)) ),
inference(subst,[],[refute_0_13:[bind(L,$fot(M))]]) ).
cnf(refute_0_15,plain,
~ unequally_directed_lines(M,M),
inference(subst,[],[refute_0_2:[bind(L,$fot(M))]]) ).
cnf(refute_0_16,plain,
( ~ line(M)
| unequally_directed_lines(M,reverse_line(M)) ),
inference(resolve,[$cnf( unequally_directed_lines(M,M) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ line(reverse_line(reverse_line(skolemFOFtoCNF_L)))
| unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L)))) ),
inference(subst,[],[refute_0_16:[bind(M,$fot(reverse_line(reverse_line(skolemFOFtoCNF_L))))]]) ).
cnf(refute_0_18,plain,
unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L)))),
inference(resolve,[$cnf( line(reverse_line(reverse_line(skolemFOFtoCNF_L))) )],[refute_0_12,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))))
| unequally_directed_lines(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))),X_65)
| unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),X_65) ),
inference(subst,[],[refute_0_4:[bind(L,$fot(reverse_line(reverse_line(skolemFOFtoCNF_L)))),bind(M,$fot(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))))),bind(N,$fot(X_65))]]) ).
cnf(refute_0_20,plain,
( unequally_directed_lines(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))),X_65)
| unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),X_65) ),
inference(resolve,[$cnf( unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L)))) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
( unequally_directed_lines(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))),X_80)
| unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),X_80) ),
inference(subst,[],[refute_0_20:[bind(X_65,$fot(X_80))]]) ).
cnf(refute_0_22,plain,
( ~ unequally_directed_lines(L,M)
| ~ unequally_directed_lines(L,reverse_line(M))
| convergent_lines(L,M) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_23,plain,
( ~ convergent_lines(L,M)
| left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_24,plain,
~ left_convergent_lines(L,M),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_25,plain,
( ~ convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
inference(resolve,[$cnf( left_convergent_lines(L,M) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
~ left_convergent_lines(L,reverse_line(M)),
inference(subst,[],[refute_0_24:[bind(M,$fot(reverse_line(M)))]]) ).
cnf(refute_0_27,plain,
~ convergent_lines(L,M),
inference(resolve,[$cnf( left_convergent_lines(L,reverse_line(M)) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ unequally_directed_lines(L,M)
| ~ unequally_directed_lines(L,reverse_line(M)) ),
inference(resolve,[$cnf( convergent_lines(L,M) )],[refute_0_22,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))),M)
| ~ unequally_directed_lines(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))),reverse_line(M)) ),
inference(subst,[],[refute_0_28:[bind(L,$fot(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L)))))]]) ).
cnf(refute_0_30,plain,
( unequally_directed_lines(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))),reverse_line(M))
| unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),reverse_line(M)) ),
inference(subst,[],[refute_0_20:[bind(X_65,$fot(reverse_line(M)))]]) ).
cnf(refute_0_31,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))),M)
| unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),reverse_line(M)) ),
inference(resolve,[$cnf( unequally_directed_lines(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))),reverse_line(M)) )],[refute_0_30,refute_0_29]) ).
cnf(refute_0_32,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))),X_80)
| unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),reverse_line(X_80)) ),
inference(subst,[],[refute_0_31:[bind(M,$fot(X_80))]]) ).
cnf(refute_0_33,plain,
( unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),X_80)
| unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),reverse_line(X_80)) ),
inference(resolve,[$cnf( unequally_directed_lines(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))),X_80) )],[refute_0_21,refute_0_32]) ).
cnf(refute_0_34,plain,
( unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),X_85)
| unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),reverse_line(X_85)) ),
inference(subst,[],[refute_0_33:[bind(X_80,$fot(X_85))]]) ).
cnf(refute_0_35,plain,
( unequally_directed_lines(reverse_line(X_85),N)
| unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),N)
| unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),X_85) ),
inference(resolve,[$cnf( unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),reverse_line(X_85)) )],[refute_0_34,refute_0_6]) ).
cnf(refute_0_36,plain,
( unequally_directed_lines(reverse_line(X_112),X_112)
| unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),X_112) ),
inference(subst,[],[refute_0_35:[bind(N,$fot(X_112)),bind(X_85,$fot(X_112))]]) ).
cnf(refute_0_37,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),X_109)
| ~ unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),reverse_line(X_109)) ),
inference(subst,[],[refute_0_28:[bind(L,$fot(reverse_line(reverse_line(skolemFOFtoCNF_L)))),bind(M,$fot(X_109))]]) ).
cnf(refute_0_38,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))),X_107)
| unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),reverse_line(X_107)) ),
inference(subst,[],[refute_0_31:[bind(M,$fot(X_107))]]) ).
cnf(refute_0_39,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))),reverse_line(X_106))
| unequally_directed_lines(reverse_line(X_106),N)
| unequally_directed_lines(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))),N) ),
inference(subst,[],[refute_0_4:[bind(L,$fot(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))))),bind(M,$fot(reverse_line(X_106)))]]) ).
cnf(refute_0_40,plain,
( ~ line(reverse_line(reverse_line(skolemFOFtoCNF_L)))
| line(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L)))) ),
inference(subst,[],[refute_0_7:[bind(L,$fot(reverse_line(reverse_line(skolemFOFtoCNF_L))))]]) ).
cnf(refute_0_41,plain,
line(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L)))),
inference(resolve,[$cnf( line(reverse_line(reverse_line(skolemFOFtoCNF_L))) )],[refute_0_12,refute_0_40]) ).
cnf(refute_0_42,plain,
( ~ line(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))))
| unequally_directed_lines(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))),reverse_line(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))))) ),
inference(subst,[],[refute_0_16:[bind(M,$fot(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L)))))]]) ).
cnf(refute_0_43,plain,
unequally_directed_lines(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))),reverse_line(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))))),
inference(resolve,[$cnf( line(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L)))) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))),reverse_line(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L)))))
| unequally_directed_lines(reverse_line(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L)))),X_65)
| unequally_directed_lines(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))),X_65) ),
inference(subst,[],[refute_0_4:[bind(L,$fot(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))))),bind(M,$fot(reverse_line(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L)))))),bind(N,$fot(X_65))]]) ).
cnf(refute_0_45,plain,
( unequally_directed_lines(reverse_line(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L)))),X_65)
| unequally_directed_lines(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))),X_65) ),
inference(resolve,[$cnf( unequally_directed_lines(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))),reverse_line(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))))) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
( unequally_directed_lines(reverse_line(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L)))),X_92)
| unequally_directed_lines(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))),X_92) ),
inference(subst,[],[refute_0_45:[bind(X_65,$fot(X_92))]]) ).
cnf(refute_0_47,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L)))),M)
| ~ unequally_directed_lines(reverse_line(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L)))),reverse_line(M)) ),
inference(subst,[],[refute_0_28:[bind(L,$fot(reverse_line(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))))))]]) ).
cnf(refute_0_48,plain,
( unequally_directed_lines(reverse_line(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L)))),reverse_line(M))
| unequally_directed_lines(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))),reverse_line(M)) ),
inference(subst,[],[refute_0_45:[bind(X_65,$fot(reverse_line(M)))]]) ).
cnf(refute_0_49,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L)))),M)
| unequally_directed_lines(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))),reverse_line(M)) ),
inference(resolve,[$cnf( unequally_directed_lines(reverse_line(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L)))),reverse_line(M)) )],[refute_0_48,refute_0_47]) ).
cnf(refute_0_50,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L)))),X_92)
| unequally_directed_lines(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))),reverse_line(X_92)) ),
inference(subst,[],[refute_0_49:[bind(M,$fot(X_92))]]) ).
cnf(refute_0_51,plain,
( unequally_directed_lines(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))),X_92)
| unequally_directed_lines(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))),reverse_line(X_92)) ),
inference(resolve,[$cnf( unequally_directed_lines(reverse_line(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L)))),X_92) )],[refute_0_46,refute_0_50]) ).
cnf(refute_0_52,plain,
( unequally_directed_lines(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))),X_106)
| unequally_directed_lines(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))),reverse_line(X_106)) ),
inference(subst,[],[refute_0_51:[bind(X_92,$fot(X_106))]]) ).
cnf(refute_0_53,plain,
( unequally_directed_lines(reverse_line(X_106),N)
| unequally_directed_lines(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))),N)
| unequally_directed_lines(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))),X_106) ),
inference(resolve,[$cnf( unequally_directed_lines(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))),reverse_line(X_106)) )],[refute_0_52,refute_0_39]) ).
cnf(refute_0_54,plain,
( unequally_directed_lines(reverse_line(X_107),X_107)
| unequally_directed_lines(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))),X_107) ),
inference(subst,[],[refute_0_53:[bind(N,$fot(X_107)),bind(X_106,$fot(X_107))]]) ).
cnf(refute_0_55,plain,
( unequally_directed_lines(reverse_line(X_107),X_107)
| unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),reverse_line(X_107)) ),
inference(resolve,[$cnf( unequally_directed_lines(reverse_line(reverse_line(reverse_line(skolemFOFtoCNF_L))),X_107) )],[refute_0_54,refute_0_38]) ).
cnf(refute_0_56,plain,
( unequally_directed_lines(reverse_line(X_109),X_109)
| unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),reverse_line(X_109)) ),
inference(subst,[],[refute_0_55:[bind(X_107,$fot(X_109))]]) ).
cnf(refute_0_57,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),X_109)
| unequally_directed_lines(reverse_line(X_109),X_109) ),
inference(resolve,[$cnf( unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),reverse_line(X_109)) )],[refute_0_56,refute_0_37]) ).
cnf(refute_0_58,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),X_112)
| unequally_directed_lines(reverse_line(X_112),X_112) ),
inference(subst,[],[refute_0_57:[bind(X_109,$fot(X_112))]]) ).
cnf(refute_0_59,plain,
unequally_directed_lines(reverse_line(X_112),X_112),
inference(resolve,[$cnf( unequally_directed_lines(reverse_line(reverse_line(skolemFOFtoCNF_L)),X_112) )],[refute_0_36,refute_0_58]) ).
cnf(refute_0_60,plain,
unequally_directed_lines(reverse_line(X_113),X_113),
inference(subst,[],[refute_0_59:[bind(X_112,$fot(X_113))]]) ).
cnf(refute_0_61,plain,
( unequally_directed_lines(X_113,N)
| unequally_directed_lines(reverse_line(X_113),N) ),
inference(resolve,[$cnf( unequally_directed_lines(reverse_line(X_113),X_113) )],[refute_0_60,refute_0_5]) ).
cnf(refute_0_62,plain,
( unequally_directed_lines(X_342,reverse_line(X_342))
| unequally_directed_lines(reverse_line(X_342),reverse_line(X_342)) ),
inference(subst,[],[refute_0_61:[bind(N,$fot(reverse_line(X_342))),bind(X_113,$fot(X_342))]]) ).
cnf(refute_0_63,plain,
unequally_directed_lines(X_342,reverse_line(X_342)),
inference(resolve,[$cnf( unequally_directed_lines(reverse_line(X_342),reverse_line(X_342)) )],[refute_0_62,refute_0_3]) ).
cnf(refute_0_64,plain,
unequally_directed_lines(line_connecting(A,A),reverse_line(line_connecting(A,A))),
inference(subst,[],[refute_0_63:[bind(X_342,$fot(line_connecting(A,A)))]]) ).
cnf(refute_0_65,plain,
$false,
inference(resolve,[$cnf( unequally_directed_lines(line_connecting(A,A),reverse_line(line_connecting(A,A))) )],[refute_0_64,refute_0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : GEO259+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.03/0.10 % Command : metis --show proof --show saturation %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 600
% 0.11/0.30 % DateTime : Fri Jun 17 23:35:31 EDT 2022
% 0.11/0.30 % CPUTime :
% 0.11/0.30 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.78/1.00 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.78/1.00
% 0.78/1.00 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.78/1.00
%------------------------------------------------------------------------------