TSTP Solution File: GEO255+3 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO255+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n013.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 05:25:56 EDT 2022
% Result : Theorem 32.87s 33.04s
% Output : CNFRefutation 32.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 11
% Syntax : Number of formulae : 173 ( 48 unt; 0 def)
% Number of atoms : 342 ( 0 equ)
% Maximal formula atoms : 13 ( 1 avg)
% Number of connectives : 305 ( 136 ~; 137 |; 15 &)
% ( 12 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 247 ( 5 sgn 103 !; 3 ?)
% 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(ax4_defns,axiom,
! [L,A,B] :
( before_on_line(L,A,B)
<=> ( distinct_points(A,B)
& incident_point_and_line(A,L)
& incident_point_and_line(B,L)
& equally_directed_lines(L,line_connecting(A,B)) ) ) ).
fof(ax5_basics,axiom,
! [L] : equally_directed_lines(L,L) ).
fof(ax6_basics,axiom,
! [L,M,N] :
( unequally_directed_lines(L,M)
=> ( unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ) ) ).
fof(ax8_basics,axiom,
! [L,M] :
( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ) ).
fof(ax9_basics,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(ax11_basics,axiom,
! [L,M] :
~ ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ) ).
fof(ax9_cons_objs,axiom,
! [A,B] :
( distinct_points(A,B)
=> equally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))) ) ).
fof(con,conjecture,
! [L,A,B] :
~ ( before_on_line(L,A,B)
& before_on_line(L,B,A) ) ).
fof(subgoal_0,plain,
! [L,A,B] :
( before_on_line(L,A,B)
=> ~ before_on_line(L,B,A) ),
inference(strip,[],[con]) ).
fof(negate_0_0,plain,
~ ! [L,A,B] :
( before_on_line(L,A,B)
=> ~ before_on_line(L,B,A) ),
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,
! [X,Y] :
( ~ equally_directed_opposite_lines(X,Y)
<=> unequally_directed_opposite_lines(X,Y) ),
inference(canonicalize,[],[a5_defns]) ).
fof(normalize_0_5,plain,
! [X,Y] :
( ~ equally_directed_opposite_lines(X,Y)
<=> unequally_directed_opposite_lines(X,Y) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,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_5]) ).
fof(normalize_0_7,plain,
! [X,Y] :
( ~ equally_directed_opposite_lines(X,Y)
| ~ unequally_directed_opposite_lines(X,Y) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X,Y] :
( ~ unequally_directed_lines(X,reverse_line(Y))
<=> ~ unequally_directed_opposite_lines(X,Y) ),
inference(canonicalize,[],[a1_defns]) ).
fof(normalize_0_9,plain,
! [X,Y] :
( ~ unequally_directed_lines(X,reverse_line(Y))
<=> ~ unequally_directed_opposite_lines(X,Y) ),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,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_9]) ).
fof(normalize_0_11,plain,
! [X,Y] :
( ~ unequally_directed_lines(X,reverse_line(Y))
| unequally_directed_opposite_lines(X,Y) ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [L,M] :
( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ),
inference(canonicalize,[],[ax8_basics]) ).
fof(normalize_0_13,plain,
! [L,M] :
( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
? [A,B,L] :
( before_on_line(L,A,B)
& before_on_line(L,B,A) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_15,plain,
( before_on_line(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_B)
& before_on_line(skolemFOFtoCNF_L,skolemFOFtoCNF_B,skolemFOFtoCNF_A) ),
inference(skolemize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
before_on_line(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_B),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [A,B,L] :
( ~ before_on_line(L,A,B)
<=> ( ~ distinct_points(A,B)
| ~ equally_directed_lines(L,line_connecting(A,B))
| ~ incident_point_and_line(A,L)
| ~ incident_point_and_line(B,L) ) ),
inference(canonicalize,[],[ax4_defns]) ).
fof(normalize_0_18,plain,
! [A,B,L] :
( ~ before_on_line(L,A,B)
<=> ( ~ distinct_points(A,B)
| ~ equally_directed_lines(L,line_connecting(A,B))
| ~ incident_point_and_line(A,L)
| ~ incident_point_and_line(B,L) ) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [A,B,L] :
( ( ~ before_on_line(L,A,B)
| distinct_points(A,B) )
& ( ~ before_on_line(L,A,B)
| equally_directed_lines(L,line_connecting(A,B)) )
& ( ~ before_on_line(L,A,B)
| incident_point_and_line(A,L) )
& ( ~ before_on_line(L,A,B)
| incident_point_and_line(B,L) )
& ( ~ distinct_points(A,B)
| ~ equally_directed_lines(L,line_connecting(A,B))
| ~ incident_point_and_line(A,L)
| ~ incident_point_and_line(B,L)
| before_on_line(L,A,B) ) ),
inference(clausify,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [A,B,L] :
( ~ before_on_line(L,A,B)
| equally_directed_lines(L,line_connecting(A,B)) ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [X,Y] :
( equally_directed_opposite_lines(X,Y)
| unequally_directed_opposite_lines(X,Y) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_22,plain,
! [X,Y] :
( ~ unequally_directed_opposite_lines(X,Y)
| unequally_directed_lines(X,reverse_line(Y)) ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_23,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,[],[ax9_basics]) ).
fof(normalize_0_24,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(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
( ! [L,M] : ~ left_convergent_lines(L,M)
& ! [L,M] : ~ left_convergent_lines(L,reverse_line(M)) ),
inference(canonicalize,[],[ax11_basics]) ).
fof(normalize_0_26,plain,
! [L,M] : ~ left_convergent_lines(L,M),
inference(conjunct,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [L,M] : ~ left_convergent_lines(L,M),
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [L] : equally_directed_lines(L,L),
inference(canonicalize,[],[ax5_basics]) ).
fof(normalize_0_29,plain,
! [L] : equally_directed_lines(L,L),
inference(specialize,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [L,M,N] :
( ~ unequally_directed_lines(L,M)
| unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ),
inference(canonicalize,[],[ax6_basics]) ).
fof(normalize_0_31,plain,
! [L,M,N] :
( ~ unequally_directed_lines(L,M)
| unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ),
inference(specialize,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [X,Y] :
( equally_directed_lines(X,Y)
| unequally_directed_lines(X,Y) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_33,plain,
! [A,B,L] :
( ~ before_on_line(L,A,B)
| distinct_points(A,B) ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_34,plain,
! [A,B] :
( ~ distinct_points(A,B)
| equally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))) ),
inference(canonicalize,[],[ax9_cons_objs]) ).
fof(normalize_0_35,plain,
! [A,B] :
( ~ distinct_points(A,B)
| equally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))) ),
inference(specialize,[],[normalize_0_34]) ).
fof(normalize_0_36,plain,
before_on_line(skolemFOFtoCNF_L,skolemFOFtoCNF_B,skolemFOFtoCNF_A),
inference(conjunct,[],[normalize_0_15]) ).
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,line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A))
| ~ unequally_directed_lines(skolemFOFtoCNF_L,line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_L)),bind(Y,$fot(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_2,plain,
( ~ equally_directed_opposite_lines(X,Y)
| ~ unequally_directed_opposite_lines(X,Y) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_3,plain,
( ~ equally_directed_opposite_lines(X_52,X_53)
| ~ unequally_directed_opposite_lines(X_52,X_53) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_52)),bind(Y,$fot(X_53))]]) ).
cnf(refute_0_4,plain,
( ~ unequally_directed_lines(X,reverse_line(Y))
| unequally_directed_opposite_lines(X,Y) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_5,plain,
( ~ unequally_directed_lines(X_36,reverse_line(X_37))
| unequally_directed_opposite_lines(X_36,X_37) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_36)),bind(Y,$fot(X_37))]]) ).
cnf(refute_0_6,plain,
( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_7,plain,
( unequally_directed_lines(X_36,X_37)
| unequally_directed_lines(X_36,reverse_line(X_37)) ),
inference(subst,[],[refute_0_6:[bind(L,$fot(X_36)),bind(M,$fot(X_37))]]) ).
cnf(refute_0_8,plain,
( unequally_directed_lines(X_36,X_37)
| unequally_directed_opposite_lines(X_36,X_37) ),
inference(resolve,[$cnf( unequally_directed_lines(X_36,reverse_line(X_37)) )],[refute_0_7,refute_0_5]) ).
cnf(refute_0_9,plain,
( unequally_directed_lines(X_52,X_53)
| unequally_directed_opposite_lines(X_52,X_53) ),
inference(subst,[],[refute_0_8:[bind(X_36,$fot(X_52)),bind(X_37,$fot(X_53))]]) ).
cnf(refute_0_10,plain,
( ~ equally_directed_opposite_lines(X_52,X_53)
| unequally_directed_lines(X_52,X_53) ),
inference(resolve,[$cnf( unequally_directed_opposite_lines(X_52,X_53) )],[refute_0_9,refute_0_3]) ).
cnf(refute_0_11,plain,
( ~ equally_directed_opposite_lines(skolemFOFtoCNF_L,line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A))
| unequally_directed_lines(skolemFOFtoCNF_L,line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_10:[bind(X_52,$fot(skolemFOFtoCNF_L)),bind(X_53,$fot(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_12,plain,
before_on_line(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_B),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_13,plain,
( ~ before_on_line(L,A,B)
| equally_directed_lines(L,line_connecting(A,B)) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_14,plain,
( ~ before_on_line(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_B)
| equally_directed_lines(skolemFOFtoCNF_L,line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B)),bind(L,$fot(skolemFOFtoCNF_L))]]) ).
cnf(refute_0_15,plain,
equally_directed_lines(skolemFOFtoCNF_L,line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),
inference(resolve,[$cnf( before_on_line(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_B) )],[refute_0_12,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ equally_directed_lines(X_21779,line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B))
| ~ unequally_directed_lines(X_21779,line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(X_21779)),bind(Y,$fot(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_17,plain,
( ~ equally_directed_lines(X_91,reverse_line(X_92))
| ~ unequally_directed_lines(X_91,reverse_line(X_92)) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(X_91)),bind(Y,$fot(reverse_line(X_92)))]]) ).
cnf(refute_0_18,plain,
( equally_directed_opposite_lines(X,Y)
| unequally_directed_opposite_lines(X,Y) ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_19,plain,
( equally_directed_opposite_lines(X_34,X_35)
| unequally_directed_opposite_lines(X_34,X_35) ),
inference(subst,[],[refute_0_18:[bind(X,$fot(X_34)),bind(Y,$fot(X_35))]]) ).
cnf(refute_0_20,plain,
( ~ unequally_directed_opposite_lines(X,Y)
| unequally_directed_lines(X,reverse_line(Y)) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_21,plain,
( ~ unequally_directed_opposite_lines(X_34,X_35)
| unequally_directed_lines(X_34,reverse_line(X_35)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(X_34)),bind(Y,$fot(X_35))]]) ).
cnf(refute_0_22,plain,
( equally_directed_opposite_lines(X_34,X_35)
| unequally_directed_lines(X_34,reverse_line(X_35)) ),
inference(resolve,[$cnf( unequally_directed_opposite_lines(X_34,X_35) )],[refute_0_19,refute_0_21]) ).
cnf(refute_0_23,plain,
( equally_directed_opposite_lines(X_91,X_92)
| unequally_directed_lines(X_91,reverse_line(X_92)) ),
inference(subst,[],[refute_0_22:[bind(X_34,$fot(X_91)),bind(X_35,$fot(X_92))]]) ).
cnf(refute_0_24,plain,
( ~ equally_directed_lines(X_91,reverse_line(X_92))
| equally_directed_opposite_lines(X_91,X_92) ),
inference(resolve,[$cnf( unequally_directed_lines(X_91,reverse_line(X_92)) )],[refute_0_23,refute_0_17]) ).
cnf(refute_0_25,plain,
( ~ equally_directed_lines(X_21666,reverse_line(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)))
| equally_directed_opposite_lines(X_21666,line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_24:[bind(X_91,$fot(X_21666)),bind(X_92,$fot(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_26,plain,
( ~ 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,[],[normalize_0_24]) ).
cnf(refute_0_27,plain,
~ left_convergent_lines(L,M),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_28,plain,
( ~ unequally_directed_lines(L,M)
| ~ unequally_directed_lines(L,reverse_line(M))
| left_convergent_lines(L,reverse_line(M)) ),
inference(resolve,[$cnf( left_convergent_lines(L,M) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
~ left_convergent_lines(L,reverse_line(M)),
inference(subst,[],[refute_0_27:[bind(M,$fot(reverse_line(M)))]]) ).
cnf(refute_0_30,plain,
( ~ unequally_directed_lines(L,M)
| ~ unequally_directed_lines(L,reverse_line(M)) ),
inference(resolve,[$cnf( left_convergent_lines(L,reverse_line(M)) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ unequally_directed_lines(reverse_line(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)),line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B))
| ~ unequally_directed_lines(reverse_line(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)),reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) ),
inference(subst,[],[refute_0_30:[bind(L,$fot(reverse_line(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)))),bind(M,$fot(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_32,plain,
( ~ unequally_directed_lines(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A),reverse_line(reverse_line(reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))))
| ~ unequally_directed_lines(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A),reverse_line(reverse_line(reverse_line(reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))))) ),
inference(subst,[],[refute_0_30:[bind(L,$fot(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A))),bind(M,$fot(reverse_line(reverse_line(reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))))]]) ).
cnf(refute_0_33,plain,
( unequally_directed_lines(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A),reverse_line(reverse_line(reverse_line(reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))))
| unequally_directed_lines(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A),reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))))) ),
inference(subst,[],[refute_0_6:[bind(L,$fot(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A))),bind(M,$fot(reverse_line(reverse_line(reverse_line(reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))))))]]) ).
cnf(refute_0_34,plain,
( ~ unequally_directed_lines(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A),reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))))))
| ~ unequally_directed_lines(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A),reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))))))) ),
inference(subst,[],[refute_0_30:[bind(L,$fot(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A))),bind(M,$fot(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))))))]]) ).
cnf(refute_0_35,plain,
( ~ unequally_directed_opposite_lines(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A),reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))))))
| unequally_directed_lines(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A),reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))))))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A))),bind(Y,$fot(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))))))]]) ).
cnf(refute_0_36,plain,
( ~ unequally_directed_lines(X_286,reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(X_286)))))))
| ~ unequally_directed_lines(X_286,reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(X_286)))))))) ),
inference(subst,[],[refute_0_30:[bind(L,$fot(X_286)),bind(M,$fot(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(X_286))))))))]]) ).
cnf(refute_0_37,plain,
( ~ equally_directed_lines(reverse_line(X_261),X_262)
| ~ unequally_directed_lines(reverse_line(X_261),X_262) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(reverse_line(X_261))),bind(Y,$fot(X_262))]]) ).
cnf(refute_0_38,plain,
equally_directed_lines(L,L),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_39,plain,
equally_directed_lines(reverse_line(X_39),reverse_line(X_39)),
inference(subst,[],[refute_0_38:[bind(L,$fot(reverse_line(X_39)))]]) ).
cnf(refute_0_40,plain,
( ~ equally_directed_lines(X_36,reverse_line(X_37))
| ~ unequally_directed_lines(X_36,reverse_line(X_37)) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(X_36)),bind(Y,$fot(reverse_line(X_37)))]]) ).
cnf(refute_0_41,plain,
( ~ equally_directed_lines(X_36,reverse_line(X_37))
| unequally_directed_lines(X_36,X_37) ),
inference(resolve,[$cnf( unequally_directed_lines(X_36,reverse_line(X_37)) )],[refute_0_7,refute_0_40]) ).
cnf(refute_0_42,plain,
( ~ equally_directed_lines(reverse_line(X_39),reverse_line(X_39))
| unequally_directed_lines(reverse_line(X_39),X_39) ),
inference(subst,[],[refute_0_41:[bind(X_36,$fot(reverse_line(X_39))),bind(X_37,$fot(X_39))]]) ).
cnf(refute_0_43,plain,
unequally_directed_lines(reverse_line(X_39),X_39),
inference(resolve,[$cnf( equally_directed_lines(reverse_line(X_39),reverse_line(X_39)) )],[refute_0_39,refute_0_42]) ).
cnf(refute_0_44,plain,
unequally_directed_lines(reverse_line(X_258),X_258),
inference(subst,[],[refute_0_43:[bind(X_39,$fot(X_258))]]) ).
cnf(refute_0_45,plain,
( ~ unequally_directed_lines(L,M)
| unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_46,plain,
( ~ unequally_directed_lines(reverse_line(X_258),X_258)
| unequally_directed_lines(X_258,X_259)
| unequally_directed_lines(reverse_line(X_258),X_259) ),
inference(subst,[],[refute_0_45:[bind(L,$fot(reverse_line(X_258))),bind(M,$fot(X_258)),bind(N,$fot(X_259))]]) ).
cnf(refute_0_47,plain,
( unequally_directed_lines(X_258,X_259)
| unequally_directed_lines(reverse_line(X_258),X_259) ),
inference(resolve,[$cnf( unequally_directed_lines(reverse_line(X_258),X_258) )],[refute_0_44,refute_0_46]) ).
cnf(refute_0_48,plain,
( unequally_directed_lines(X_261,X_262)
| unequally_directed_lines(reverse_line(X_261),X_262) ),
inference(subst,[],[refute_0_47:[bind(X_258,$fot(X_261)),bind(X_259,$fot(X_262))]]) ).
cnf(refute_0_49,plain,
( ~ equally_directed_lines(reverse_line(X_261),X_262)
| unequally_directed_lines(X_261,X_262) ),
inference(resolve,[$cnf( unequally_directed_lines(reverse_line(X_261),X_262) )],[refute_0_48,refute_0_37]) ).
cnf(refute_0_50,plain,
( ~ equally_directed_lines(reverse_line(X_261),reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(X_261))))))))
| unequally_directed_lines(X_261,reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(X_261)))))))) ),
inference(subst,[],[refute_0_49:[bind(X_262,$fot(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(X_261)))))))))]]) ).
cnf(refute_0_51,plain,
( equally_directed_lines(X,Y)
| unequally_directed_lines(X,Y) ),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_52,plain,
( equally_directed_lines(X_54,reverse_line(X_55))
| unequally_directed_lines(X_54,reverse_line(X_55)) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(X_54)),bind(Y,$fot(reverse_line(X_55)))]]) ).
cnf(refute_0_53,plain,
( ~ unequally_directed_lines(X_54,X_55)
| ~ unequally_directed_lines(X_54,reverse_line(X_55)) ),
inference(subst,[],[refute_0_30:[bind(L,$fot(X_54)),bind(M,$fot(X_55))]]) ).
cnf(refute_0_54,plain,
( ~ unequally_directed_lines(X_54,X_55)
| equally_directed_lines(X_54,reverse_line(X_55)) ),
inference(resolve,[$cnf( unequally_directed_lines(X_54,reverse_line(X_55)) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
( ~ unequally_directed_lines(X_279,reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(X_279))))))
| equally_directed_lines(X_279,reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(X_279))))))) ),
inference(subst,[],[refute_0_54:[bind(X_54,$fot(X_279)),bind(X_55,$fot(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(X_279)))))))]]) ).
cnf(refute_0_56,plain,
( ~ equally_directed_lines(reverse_line(X_261),reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(X_261))))))
| unequally_directed_lines(X_261,reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(X_261)))))) ),
inference(subst,[],[refute_0_49:[bind(X_262,$fot(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(X_261)))))))]]) ).
cnf(refute_0_57,plain,
( ~ unequally_directed_lines(X_272,reverse_line(reverse_line(reverse_line(X_272))))
| equally_directed_lines(X_272,reverse_line(reverse_line(reverse_line(reverse_line(X_272))))) ),
inference(subst,[],[refute_0_54:[bind(X_54,$fot(X_272)),bind(X_55,$fot(reverse_line(reverse_line(reverse_line(X_272)))))]]) ).
cnf(refute_0_58,plain,
( ~ equally_directed_lines(reverse_line(X_261),reverse_line(reverse_line(reverse_line(X_261))))
| unequally_directed_lines(X_261,reverse_line(reverse_line(reverse_line(X_261)))) ),
inference(subst,[],[refute_0_49:[bind(X_262,$fot(reverse_line(reverse_line(reverse_line(X_261)))))]]) ).
cnf(refute_0_59,plain,
( ~ unequally_directed_lines(X_265,reverse_line(X_265))
| equally_directed_lines(X_265,reverse_line(reverse_line(X_265))) ),
inference(subst,[],[refute_0_54:[bind(X_54,$fot(X_265)),bind(X_55,$fot(reverse_line(X_265)))]]) ).
cnf(refute_0_60,plain,
equally_directed_lines(reverse_line(X_263),reverse_line(X_263)),
inference(subst,[],[refute_0_38:[bind(L,$fot(reverse_line(X_263)))]]) ).
cnf(refute_0_61,plain,
( ~ equally_directed_lines(reverse_line(X_263),reverse_line(X_263))
| unequally_directed_lines(X_263,reverse_line(X_263)) ),
inference(subst,[],[refute_0_49:[bind(X_261,$fot(X_263)),bind(X_262,$fot(reverse_line(X_263)))]]) ).
cnf(refute_0_62,plain,
unequally_directed_lines(X_263,reverse_line(X_263)),
inference(resolve,[$cnf( equally_directed_lines(reverse_line(X_263),reverse_line(X_263)) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
unequally_directed_lines(X_265,reverse_line(X_265)),
inference(subst,[],[refute_0_62:[bind(X_263,$fot(X_265))]]) ).
cnf(refute_0_64,plain,
equally_directed_lines(X_265,reverse_line(reverse_line(X_265))),
inference(resolve,[$cnf( unequally_directed_lines(X_265,reverse_line(X_265)) )],[refute_0_63,refute_0_59]) ).
cnf(refute_0_65,plain,
equally_directed_lines(reverse_line(X_261),reverse_line(reverse_line(reverse_line(X_261)))),
inference(subst,[],[refute_0_64:[bind(X_265,$fot(reverse_line(X_261)))]]) ).
cnf(refute_0_66,plain,
unequally_directed_lines(X_261,reverse_line(reverse_line(reverse_line(X_261)))),
inference(resolve,[$cnf( equally_directed_lines(reverse_line(X_261),reverse_line(reverse_line(reverse_line(X_261)))) )],[refute_0_65,refute_0_58]) ).
cnf(refute_0_67,plain,
unequally_directed_lines(X_272,reverse_line(reverse_line(reverse_line(X_272)))),
inference(subst,[],[refute_0_66:[bind(X_261,$fot(X_272))]]) ).
cnf(refute_0_68,plain,
equally_directed_lines(X_272,reverse_line(reverse_line(reverse_line(reverse_line(X_272))))),
inference(resolve,[$cnf( unequally_directed_lines(X_272,reverse_line(reverse_line(reverse_line(X_272)))) )],[refute_0_67,refute_0_57]) ).
cnf(refute_0_69,plain,
equally_directed_lines(reverse_line(X_261),reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(X_261)))))),
inference(subst,[],[refute_0_68:[bind(X_272,$fot(reverse_line(X_261)))]]) ).
cnf(refute_0_70,plain,
unequally_directed_lines(X_261,reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(X_261)))))),
inference(resolve,[$cnf( equally_directed_lines(reverse_line(X_261),reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(X_261)))))) )],[refute_0_69,refute_0_56]) ).
cnf(refute_0_71,plain,
unequally_directed_lines(X_279,reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(X_279)))))),
inference(subst,[],[refute_0_70:[bind(X_261,$fot(X_279))]]) ).
cnf(refute_0_72,plain,
equally_directed_lines(X_279,reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(X_279))))))),
inference(resolve,[$cnf( unequally_directed_lines(X_279,reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(X_279)))))) )],[refute_0_71,refute_0_55]) ).
cnf(refute_0_73,plain,
equally_directed_lines(reverse_line(X_261),reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(X_261)))))))),
inference(subst,[],[refute_0_72:[bind(X_279,$fot(reverse_line(X_261)))]]) ).
cnf(refute_0_74,plain,
unequally_directed_lines(X_261,reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(X_261)))))))),
inference(resolve,[$cnf( equally_directed_lines(reverse_line(X_261),reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(X_261)))))))) )],[refute_0_73,refute_0_50]) ).
cnf(refute_0_75,plain,
unequally_directed_lines(X_286,reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(X_286)))))))),
inference(subst,[],[refute_0_74:[bind(X_261,$fot(X_286))]]) ).
cnf(refute_0_76,plain,
~ unequally_directed_lines(X_286,reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(X_286))))))),
inference(resolve,[$cnf( unequally_directed_lines(X_286,reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(X_286)))))))) )],[refute_0_75,refute_0_36]) ).
cnf(refute_0_77,plain,
~ unequally_directed_lines(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B),reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))))))),
inference(subst,[],[refute_0_76:[bind(X_286,$fot(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_78,plain,
( ~ unequally_directed_lines(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A),reverse_line(Y))
| unequally_directed_opposite_lines(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A),Y) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_79,plain,
( ~ equally_directed_lines(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B),reverse_line(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)))
| unequally_directed_lines(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B),line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_41:[bind(X_36,$fot(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B))),bind(X_37,$fot(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_80,plain,
( ~ before_on_line(L,A,B)
| distinct_points(A,B) ),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_81,plain,
( ~ before_on_line(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_B)
| distinct_points(skolemFOFtoCNF_A,skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_80:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B)),bind(L,$fot(skolemFOFtoCNF_L))]]) ).
cnf(refute_0_82,plain,
distinct_points(skolemFOFtoCNF_A,skolemFOFtoCNF_B),
inference(resolve,[$cnf( before_on_line(skolemFOFtoCNF_L,skolemFOFtoCNF_A,skolemFOFtoCNF_B) )],[refute_0_12,refute_0_81]) ).
cnf(refute_0_83,plain,
( ~ distinct_points(A,B)
| equally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))) ),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_84,plain,
( ~ distinct_points(skolemFOFtoCNF_A,skolemFOFtoCNF_B)
| equally_directed_lines(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B),reverse_line(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A))) ),
inference(subst,[],[refute_0_83:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_85,plain,
equally_directed_lines(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B),reverse_line(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A))),
inference(resolve,[$cnf( distinct_points(skolemFOFtoCNF_A,skolemFOFtoCNF_B) )],[refute_0_82,refute_0_84]) ).
cnf(refute_0_86,plain,
unequally_directed_lines(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B),line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)),
inference(resolve,[$cnf( equally_directed_lines(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B),reverse_line(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A))) )],[refute_0_85,refute_0_79]) ).
cnf(refute_0_87,plain,
( ~ unequally_directed_lines(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B),line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A))
| unequally_directed_lines(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B),X_259)
| unequally_directed_lines(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A),X_259) ),
inference(subst,[],[refute_0_45:[bind(L,$fot(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B))),bind(M,$fot(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A))),bind(N,$fot(X_259))]]) ).
cnf(refute_0_88,plain,
( unequally_directed_lines(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B),X_259)
| unequally_directed_lines(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A),X_259) ),
inference(resolve,[$cnf( unequally_directed_lines(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B),line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
( unequally_directed_lines(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B),reverse_line(Y))
| unequally_directed_lines(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A),reverse_line(Y)) ),
inference(subst,[],[refute_0_88:[bind(X_259,$fot(reverse_line(Y)))]]) ).
cnf(refute_0_90,plain,
( unequally_directed_lines(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B),reverse_line(Y))
| unequally_directed_opposite_lines(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A),Y) ),
inference(resolve,[$cnf( unequally_directed_lines(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A),reverse_line(Y)) )],[refute_0_89,refute_0_78]) ).
cnf(refute_0_91,plain,
( unequally_directed_lines(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B),reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))))))
| unequally_directed_opposite_lines(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A),reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))))) ),
inference(subst,[],[refute_0_90:[bind(Y,$fot(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))))))]]) ).
cnf(refute_0_92,plain,
unequally_directed_opposite_lines(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A),reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))))),
inference(resolve,[$cnf( unequally_directed_lines(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B),reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))))))) )],[refute_0_91,refute_0_77]) ).
cnf(refute_0_93,plain,
unequally_directed_lines(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A),reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))))))),
inference(resolve,[$cnf( unequally_directed_opposite_lines(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A),reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))))) )],[refute_0_92,refute_0_35]) ).
cnf(refute_0_94,plain,
~ unequally_directed_lines(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A),reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))))),
inference(resolve,[$cnf( unequally_directed_lines(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A),reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))))))) )],[refute_0_93,refute_0_34]) ).
cnf(refute_0_95,plain,
unequally_directed_lines(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A),reverse_line(reverse_line(reverse_line(reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))))),
inference(resolve,[$cnf( unequally_directed_lines(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A),reverse_line(reverse_line(reverse_line(reverse_line(reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))))) )],[refute_0_33,refute_0_94]) ).
cnf(refute_0_96,plain,
~ unequally_directed_lines(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A),reverse_line(reverse_line(reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))),
inference(resolve,[$cnf( unequally_directed_lines(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A),reverse_line(reverse_line(reverse_line(reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))))) )],[refute_0_95,refute_0_32]) ).
cnf(refute_0_97,plain,
( unequally_directed_lines(X_121,M)
| unequally_directed_lines(X_121,reverse_line(M)) ),
inference(subst,[],[refute_0_6:[bind(L,$fot(X_121))]]) ).
cnf(refute_0_98,plain,
( ~ unequally_directed_lines(X_121,reverse_line(M))
| equally_directed_lines(X_121,reverse_line(reverse_line(M))) ),
inference(subst,[],[refute_0_54:[bind(X_54,$fot(X_121)),bind(X_55,$fot(reverse_line(M)))]]) ).
cnf(refute_0_99,plain,
( equally_directed_lines(X_121,reverse_line(reverse_line(M)))
| unequally_directed_lines(X_121,M) ),
inference(resolve,[$cnf( unequally_directed_lines(X_121,reverse_line(M)) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
( equally_directed_lines(reverse_line(X_263),reverse_line(reverse_line(M)))
| unequally_directed_lines(reverse_line(X_263),M) ),
inference(subst,[],[refute_0_99:[bind(X_121,$fot(reverse_line(X_263)))]]) ).
cnf(refute_0_101,plain,
( ~ equally_directed_lines(reverse_line(X_263),reverse_line(reverse_line(M)))
| unequally_directed_lines(X_263,reverse_line(reverse_line(M))) ),
inference(subst,[],[refute_0_49:[bind(X_261,$fot(X_263)),bind(X_262,$fot(reverse_line(reverse_line(M))))]]) ).
cnf(refute_0_102,plain,
( unequally_directed_lines(X_263,reverse_line(reverse_line(M)))
| unequally_directed_lines(reverse_line(X_263),M) ),
inference(resolve,[$cnf( equally_directed_lines(reverse_line(X_263),reverse_line(reverse_line(M))) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
( unequally_directed_lines(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A),reverse_line(reverse_line(reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))))
| unequally_directed_lines(reverse_line(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)),reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) ),
inference(subst,[],[refute_0_102:[bind(M,$fot(reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))),bind(X_263,$fot(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_104,plain,
unequally_directed_lines(reverse_line(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)),reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B))),
inference(resolve,[$cnf( unequally_directed_lines(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A),reverse_line(reverse_line(reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))) )],[refute_0_103,refute_0_96]) ).
cnf(refute_0_105,plain,
~ unequally_directed_lines(reverse_line(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)),line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),
inference(resolve,[$cnf( unequally_directed_lines(reverse_line(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)),reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) )],[refute_0_104,refute_0_31]) ).
cnf(refute_0_106,plain,
( equally_directed_lines(X_257,X_258)
| unequally_directed_lines(X_257,X_258) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(X_257)),bind(Y,$fot(X_258))]]) ).
cnf(refute_0_107,plain,
( ~ unequally_directed_lines(X_257,X_258)
| unequally_directed_lines(X_257,X_259)
| unequally_directed_lines(X_258,X_259) ),
inference(subst,[],[refute_0_45:[bind(L,$fot(X_257)),bind(M,$fot(X_258)),bind(N,$fot(X_259))]]) ).
cnf(refute_0_108,plain,
( equally_directed_lines(X_257,X_258)
| unequally_directed_lines(X_257,X_259)
| unequally_directed_lines(X_258,X_259) ),
inference(resolve,[$cnf( unequally_directed_lines(X_257,X_258) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
( equally_directed_lines(X_20680,reverse_line(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)))
| unequally_directed_lines(X_20680,line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B))
| unequally_directed_lines(reverse_line(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)),line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) ),
inference(subst,[],[refute_0_108:[bind(X_257,$fot(X_20680)),bind(X_258,$fot(reverse_line(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)))),bind(X_259,$fot(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_110,plain,
( equally_directed_lines(X_20680,reverse_line(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)))
| unequally_directed_lines(X_20680,line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) ),
inference(resolve,[$cnf( unequally_directed_lines(reverse_line(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)),line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) )],[refute_0_109,refute_0_105]) ).
cnf(refute_0_111,plain,
( equally_directed_lines(X_21666,reverse_line(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)))
| unequally_directed_lines(X_21666,line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) ),
inference(subst,[],[refute_0_110:[bind(X_20680,$fot(X_21666))]]) ).
cnf(refute_0_112,plain,
( equally_directed_opposite_lines(X_21666,line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A))
| unequally_directed_lines(X_21666,line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) ),
inference(resolve,[$cnf( equally_directed_lines(X_21666,reverse_line(line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A))) )],[refute_0_111,refute_0_25]) ).
cnf(refute_0_113,plain,
( equally_directed_opposite_lines(X_21779,line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A))
| unequally_directed_lines(X_21779,line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) ),
inference(subst,[],[refute_0_112:[bind(X_21666,$fot(X_21779))]]) ).
cnf(refute_0_114,plain,
( ~ equally_directed_lines(X_21779,line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B))
| equally_directed_opposite_lines(X_21779,line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( unequally_directed_lines(X_21779,line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) )],[refute_0_113,refute_0_16]) ).
cnf(refute_0_115,plain,
( ~ equally_directed_lines(skolemFOFtoCNF_L,line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B))
| equally_directed_opposite_lines(skolemFOFtoCNF_L,line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_114:[bind(X_21779,$fot(skolemFOFtoCNF_L))]]) ).
cnf(refute_0_116,plain,
equally_directed_opposite_lines(skolemFOFtoCNF_L,line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)),
inference(resolve,[$cnf( equally_directed_lines(skolemFOFtoCNF_L,line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) )],[refute_0_15,refute_0_115]) ).
cnf(refute_0_117,plain,
unequally_directed_lines(skolemFOFtoCNF_L,line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)),
inference(resolve,[$cnf( equally_directed_opposite_lines(skolemFOFtoCNF_L,line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)) )],[refute_0_116,refute_0_11]) ).
cnf(refute_0_118,plain,
~ equally_directed_lines(skolemFOFtoCNF_L,line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)),
inference(resolve,[$cnf( unequally_directed_lines(skolemFOFtoCNF_L,line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)) )],[refute_0_117,refute_0_1]) ).
cnf(refute_0_119,plain,
before_on_line(skolemFOFtoCNF_L,skolemFOFtoCNF_B,skolemFOFtoCNF_A),
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_120,plain,
( ~ before_on_line(skolemFOFtoCNF_L,skolemFOFtoCNF_B,skolemFOFtoCNF_A)
| equally_directed_lines(skolemFOFtoCNF_L,line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_B)),bind(B,$fot(skolemFOFtoCNF_A)),bind(L,$fot(skolemFOFtoCNF_L))]]) ).
cnf(refute_0_121,plain,
equally_directed_lines(skolemFOFtoCNF_L,line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)),
inference(resolve,[$cnf( before_on_line(skolemFOFtoCNF_L,skolemFOFtoCNF_B,skolemFOFtoCNF_A) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
$false,
inference(resolve,[$cnf( equally_directed_lines(skolemFOFtoCNF_L,line_connecting(skolemFOFtoCNF_B,skolemFOFtoCNF_A)) )],[refute_0_121,refute_0_118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO255+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.15 % Command : metis --show proof --show saturation %s
% 0.16/0.37 % Computer : n013.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 600
% 0.16/0.37 % DateTime : Sat Jun 18 14:35:44 EDT 2022
% 0.16/0.37 % CPUTime :
% 0.16/0.38 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 32.87/33.04 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.87/33.04
% 32.87/33.04 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 32.87/33.05
%------------------------------------------------------------------------------