%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO653+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n012.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 05:28:05 EDT 2022
% Result : Theorem 50.38s 50.58s
% Output : CNFRefutation 50.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 72
% Number of leaves : 30
% Syntax : Number of formulae : 618 ( 281 unt; 0 def)
% Number of atoms : 1104 ( 0 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 890 ( 404 ~; 399 |; 55 &)
% ( 0 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 1463 ( 327 sgn 519 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ) ).
fof(ruleD2,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ) ).
fof(ruleD3,axiom,
! [A,B,C,D] :
( ( coll(A,B,C)
& coll(A,B,D) )
=> coll(C,D,A) ) ).
fof(ruleD4,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(A,B,D,C) ) ).
fof(ruleD5,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(C,D,A,B) ) ).
fof(ruleD6,axiom,
! [A,B,C,D,E,F] :
( ( para(A,B,C,D)
& para(C,D,E,F) )
=> para(A,B,E,F) ) ).
fof(ruleD9,axiom,
! [A,B,C,D,E,F] :
( ( perp(A,B,C,D)
& perp(C,D,E,F) )
=> para(A,B,E,F) ) ).
fof(ruleD14,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,B,D,C) ) ).
fof(ruleD15,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,C,B,D) ) ).
fof(ruleD16,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(B,A,C,D) ) ).
fof(ruleD17,axiom,
! [A,B,C,D,E] :
( ( cyclic(A,B,C,D)
& cyclic(A,B,C,E) )
=> cyclic(B,C,D,E) ) ).
fof(ruleD18,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(B,A,C,D,P,Q,U,V) ) ).
fof(ruleD19,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(C,D,A,B,U,V,P,Q) ) ).
fof(ruleD20,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(P,Q,U,V,A,B,C,D) ) ).
fof(ruleD21,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(A,B,P,Q,C,D,U,V) ) ).
fof(ruleD26,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqratio(A,B,C,D,P,Q,U,V)
=> eqratio(B,A,C,D,P,Q,U,V) ) ).
fof(ruleD27,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqratio(A,B,C,D,P,Q,U,V)
=> eqratio(C,D,A,B,U,V,P,Q) ) ).
fof(ruleD28,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqratio(A,B,C,D,P,Q,U,V)
=> eqratio(P,Q,U,V,A,B,C,D) ) ).
fof(ruleD29,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqratio(A,B,C,D,P,Q,U,V)
=> eqratio(A,B,P,Q,C,D,U,V) ) ).
fof(ruleD39,axiom,
! [A,B,C,D,P,Q] :
( eqangle(A,B,P,Q,C,D,P,Q)
=> para(A,B,C,D) ) ).
fof(ruleD40,axiom,
! [A,B,C,D,P,Q] :
( para(A,B,C,D)
=> eqangle(A,B,P,Q,C,D,P,Q) ) ).
fof(ruleD41,axiom,
! [A,B,P,Q] :
( cyclic(A,B,P,Q)
=> eqangle(P,A,P,B,Q,A,Q,B) ) ).
fof(ruleD42b,axiom,
! [A,B,P,Q] :
( ( eqangle(P,A,P,B,Q,A,Q,B)
& coll(P,Q,B) )
=> cyclic(A,B,P,Q) ) ).
fof(ruleD43,axiom,
! [A,B,C,P,Q,R] :
( ( cyclic(A,B,C,P)
& cyclic(A,B,C,Q)
& cyclic(A,B,C,R)
& eqangle(C,A,C,B,R,P,R,Q) )
=> cong(A,B,P,Q) ) ).
fof(ruleD54,axiom,
! [A,B,C,D] :
( ( cyclic(A,B,C,D)
& para(A,B,C,D) )
=> eqangle(A,D,C,D,C,D,C,B) ) ).
fof(ruleD56,axiom,
! [A,B,P,Q] :
( ( cong(A,P,B,P)
& cong(A,Q,B,Q) )
=> perp(A,B,P,Q) ) ).
fof(ruleD65,axiom,
! [A,B,C,D,O] :
( ( para(A,B,C,D)
& coll(O,A,C)
& coll(O,B,D) )
=> eqratio(O,A,A,C,O,B,B,D) ) ).
fof(ruleD66,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ) ).
fof(ruleD75,axiom,
! [A,B,C,D,P,Q,U,V] :
( ( eqratio(A,B,C,D,P,Q,U,V)
& cong(P,Q,U,V) )
=> cong(A,B,C,D) ) ).
fof(exemplo6GDDFULLmoreE0227,conjecture,
! [A,B,C,D,E,F,G,H] :
( ( para(A,B,C,D)
& para(A,C,B,D)
& coll(E,C,D)
& para(A,D,F,E)
& coll(F,A,B)
& coll(G,D,F)
& coll(G,A,E)
& coll(H,B,E)
& coll(H,C,F) )
=> para(G,H,A,B) ) ).
fof(subgoal_0,plain,
! [A,B,C,D,E,F,G,H] :
( ( para(A,B,C,D)
& para(A,C,B,D)
& coll(E,C,D)
& para(A,D,F,E)
& coll(F,A,B)
& coll(G,D,F)
& coll(G,A,E)
& coll(H,B,E)
& coll(H,C,F) )
=> para(G,H,A,B) ),
inference(strip,[],[exemplo6GDDFULLmoreE0227]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,D,E,F,G,H] :
( ( para(A,B,C,D)
& para(A,C,B,D)
& coll(E,C,D)
& para(A,D,F,E)
& coll(F,A,B)
& coll(G,D,F)
& coll(G,A,E)
& coll(H,B,E)
& coll(H,C,F) )
=> para(G,H,A,B) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C,D,E,F,G,H] :
( ~ para(G,H,A,B)
& coll(E,C,D)
& coll(F,A,B)
& coll(G,A,E)
& coll(G,D,F)
& coll(H,B,E)
& coll(H,C,F)
& para(A,B,C,D)
& para(A,C,B,D)
& para(A,D,F,E) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ para(skolemFOFtoCNF_G,skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
& coll(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D)
& coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
& coll(skolemFOFtoCNF_G,skolemFOFtoCNF_A,skolemFOFtoCNF_E)
& coll(skolemFOFtoCNF_G,skolemFOFtoCNF_D,skolemFOFtoCNF_F)
& coll(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)
& coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F)
& para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D)
& para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D)
& para(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_F,skolemFOFtoCNF_E) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ para(skolemFOFtoCNF_G,skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| para(C,D,A,B) ),
inference(canonicalize,[],[ruleD5]) ).
fof(normalize_0_4,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| para(C,D,A,B) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A,B,C,D,E,F] :
( ~ perp(A,B,C,D)
| ~ perp(C,D,E,F)
| para(A,B,E,F) ),
inference(canonicalize,[],[ruleD9]) ).
fof(normalize_0_6,plain,
! [A,B,C,D,E,F] :
( ~ perp(A,B,C,D)
| ~ perp(C,D,E,F)
| para(A,B,E,F) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| perp(A,B,P,Q) ),
inference(canonicalize,[],[ruleD56]) ).
fof(normalize_0_8,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| perp(A,B,P,Q) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ cong(P,Q,U,V)
| ~ eqratio(A,B,C,D,P,Q,U,V)
| cong(A,B,C,D) ),
inference(canonicalize,[],[ruleD75]) ).
fof(normalize_0_10,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ cong(P,Q,U,V)
| ~ eqratio(A,B,C,D,P,Q,U,V)
| cong(A,B,C,D) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqratio(A,B,C,D,P,Q,U,V)
| eqratio(B,A,C,D,P,Q,U,V) ),
inference(canonicalize,[],[ruleD26]) ).
fof(normalize_0_12,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqratio(A,B,C,D,P,Q,U,V)
| eqratio(B,A,C,D,P,Q,U,V) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqratio(A,B,C,D,P,Q,U,V)
| eqratio(P,Q,U,V,A,B,C,D) ),
inference(canonicalize,[],[ruleD28]) ).
fof(normalize_0_14,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqratio(A,B,C,D,P,Q,U,V)
| eqratio(P,Q,U,V,A,B,C,D) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqratio(A,B,C,D,P,Q,U,V)
| eqratio(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[ruleD27]) ).
fof(normalize_0_16,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqratio(A,B,C,D,P,Q,U,V)
| eqratio(C,D,A,B,U,V,P,Q) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqratio(A,B,C,D,P,Q,U,V)
| eqratio(A,B,P,Q,C,D,U,V) ),
inference(canonicalize,[],[ruleD29]) ).
fof(normalize_0_18,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqratio(A,B,C,D,P,Q,U,V)
| eqratio(A,B,P,Q,C,D,U,V) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| para(A,B,D,C) ),
inference(canonicalize,[],[ruleD4]) ).
fof(normalize_0_20,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| para(A,B,D,C) ),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_22,plain,
! [A,B,C,D,O] :
( ~ coll(O,A,C)
| ~ coll(O,B,D)
| ~ para(A,B,C,D)
| eqratio(O,A,A,C,O,B,B,D) ),
inference(canonicalize,[],[ruleD65]) ).
fof(normalize_0_23,plain,
! [A,B,C,D,O] :
( ~ coll(O,A,C)
| ~ coll(O,B,D)
| ~ para(A,B,C,D)
| eqratio(O,A,A,C,O,B,B,D) ),
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_25,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(specialize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_27,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[ruleD1]) ).
fof(normalize_0_29,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(specialize,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_31,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_32,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_33,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD66]) ).
fof(normalize_0_34,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_33]) ).
fof(normalize_0_35,plain,
! [A,B,C,D] :
( para(A,B,C,D)
| ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[ruleD39]) ).
fof(normalize_0_36,plain,
! [A,B,C,D] :
( para(A,B,C,D)
| ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(specialize,[],[normalize_0_35]) ).
fof(normalize_0_37,plain,
! [A,B,C,D,P,Q] :
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(clausify,[],[normalize_0_36]) ).
fof(normalize_0_38,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[ruleD19]) ).
fof(normalize_0_39,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(specialize,[],[normalize_0_38]) ).
fof(normalize_0_40,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[ruleD40]) ).
fof(normalize_0_41,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q) ),
inference(specialize,[],[normalize_0_40]) ).
fof(normalize_0_42,plain,
! [A,B,C,D,P,Q] :
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(clausify,[],[normalize_0_41]) ).
fof(normalize_0_43,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_44,plain,
! [A,B,C,D,E,F] :
( ~ para(A,B,C,D)
| ~ para(C,D,E,F)
| para(A,B,E,F) ),
inference(canonicalize,[],[ruleD6]) ).
fof(normalize_0_45,plain,
! [A,B,C,D,E,F] :
( ~ para(A,B,C,D)
| ~ para(C,D,E,F)
| para(A,B,E,F) ),
inference(specialize,[],[normalize_0_44]) ).
fof(normalize_0_46,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_47,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(A,B,P,Q,C,D,U,V) ),
inference(canonicalize,[],[ruleD21]) ).
fof(normalize_0_48,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(A,B,P,Q,C,D,U,V) ),
inference(specialize,[],[normalize_0_47]) ).
fof(normalize_0_49,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(B,A,C,D,P,Q,U,V) ),
inference(canonicalize,[],[ruleD18]) ).
fof(normalize_0_50,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(B,A,C,D,P,Q,U,V) ),
inference(specialize,[],[normalize_0_49]) ).
fof(normalize_0_51,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(P,Q,U,V,A,B,C,D) ),
inference(canonicalize,[],[ruleD20]) ).
fof(normalize_0_52,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(P,Q,U,V,A,B,C,D) ),
inference(specialize,[],[normalize_0_51]) ).
fof(normalize_0_53,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| ~ para(A,B,C,D)
| eqangle(A,D,C,D,C,D,C,B) ),
inference(canonicalize,[],[ruleD54]) ).
fof(normalize_0_54,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| ~ para(A,B,C,D)
| eqangle(A,D,C,D,C,D,C,B) ),
inference(specialize,[],[normalize_0_53]) ).
fof(normalize_0_55,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[ruleD15]) ).
fof(normalize_0_56,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(specialize,[],[normalize_0_55]) ).
fof(normalize_0_57,plain,
! [A,B,C,D,E] :
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[ruleD17]) ).
fof(normalize_0_58,plain,
! [A,B,C,D,E] :
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(specialize,[],[normalize_0_57]) ).
fof(normalize_0_59,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[ruleD14]) ).
fof(normalize_0_60,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(specialize,[],[normalize_0_59]) ).
fof(normalize_0_61,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[ruleD16]) ).
fof(normalize_0_62,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(specialize,[],[normalize_0_61]) ).
fof(normalize_0_63,plain,
! [A,B,P,Q] :
( ~ coll(P,Q,B)
| ~ eqangle(P,A,P,B,Q,A,Q,B)
| cyclic(A,B,P,Q) ),
inference(canonicalize,[],[ruleD42b]) ).
fof(normalize_0_64,plain,
! [A,B,P,Q] :
( ~ coll(P,Q,B)
| ~ eqangle(P,A,P,B,Q,A,Q,B)
| cyclic(A,B,P,Q) ),
inference(specialize,[],[normalize_0_63]) ).
fof(normalize_0_65,plain,
! [A,B,C,P,Q,R] :
( ~ cyclic(A,B,C,P)
| ~ cyclic(A,B,C,Q)
| ~ cyclic(A,B,C,R)
| ~ eqangle(C,A,C,B,R,P,R,Q)
| cong(A,B,P,Q) ),
inference(canonicalize,[],[ruleD43]) ).
fof(normalize_0_66,plain,
! [A,B,C,P,Q,R] :
( ~ cyclic(A,B,C,P)
| ~ cyclic(A,B,C,Q)
| ~ cyclic(A,B,C,R)
| ~ eqangle(C,A,C,B,R,P,R,Q)
| cong(A,B,P,Q) ),
inference(specialize,[],[normalize_0_65]) ).
fof(normalize_0_67,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[ruleD41]) ).
fof(normalize_0_68,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(specialize,[],[normalize_0_67]) ).
cnf(refute_0_0,plain,
~ para(skolemFOFtoCNF_G,skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ para(A,B,C,D)
| para(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_14482,X_14483)
| para(X_14482,X_14483,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_14482)),bind(D,$fot(X_14483))]]) ).
cnf(refute_0_3,plain,
( ~ perp(A,B,C,D)
| ~ perp(C,D,E,F)
| para(A,B,E,F) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_4,plain,
( ~ perp(X_12290,X_12290,E,F)
| ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_12290,X_12290)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,E,F) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_12290)),bind(D,$fot(X_12290))]]) ).
cnf(refute_0_5,plain,
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| perp(A,B,P,Q) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_6,plain,
( ~ cong(skolemFOFtoCNF_A,X_12078,skolemFOFtoCNF_B_1,X_12078)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_12078,X_12078) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(X_12078)),bind(Q,$fot(X_12078))]]) ).
cnf(refute_0_7,plain,
( ~ cong(P,Q,U,V)
| ~ eqratio(A,B,C,D,P,Q,U,V)
| cong(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_8,plain,
( ~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D)
| ~ eqratio(skolemFOFtoCNF_A,X_9428,skolemFOFtoCNF_B_1,X_9428,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D)
| cong(skolemFOFtoCNF_A,X_9428,skolemFOFtoCNF_B_1,X_9428) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_9428)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_9428)),bind(P,$fot(skolemFOFtoCNF_C_1)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(skolemFOFtoCNF_B_1)),bind(V,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_9,plain,
( ~ eqratio(A,B,C,D,P,Q,U,V)
| eqratio(B,A,C,D,P,Q,U,V) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_10,plain,
( ~ eqratio(X_9234,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_9234,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D)
| eqratio(skolemFOFtoCNF_A,X_9234,skolemFOFtoCNF_B_1,X_9234,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_9234)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_9234)),bind(P,$fot(skolemFOFtoCNF_C_1)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(skolemFOFtoCNF_B_1)),bind(V,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_11,plain,
( ~ eqratio(A,B,C,D,P,Q,U,V)
| eqratio(P,Q,U,V,A,B,C,D) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_12,plain,
( ~ eqratio(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_8876,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_8876)
| eqratio(X_8876,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_8876,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_D)),bind(P,$fot(X_8876)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(skolemFOFtoCNF_B_1)),bind(V,$fot(X_8876))]]) ).
cnf(refute_0_13,plain,
( ~ eqratio(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_8640,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_8640)
| eqratio(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_8640,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_8640) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_D)),bind(P,$fot(X_8640)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(skolemFOFtoCNF_B_1)),bind(V,$fot(X_8640))]]) ).
cnf(refute_0_14,plain,
( ~ eqratio(A,B,C,D,P,Q,U,V)
| eqratio(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_15,plain,
( ~ eqratio(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_8383,X_8383,skolemFOFtoCNF_A)
| eqratio(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_8383,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_8383) ),
inference(subst,[],[refute_0_14:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(X_8383)),bind(U,$fot(X_8383)),bind(V,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_16,plain,
( ~ eqratio(skolemFOFtoCNF_B_1,X_8237,X_8237,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| eqratio(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_8237,X_8237,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_8237)),bind(C,$fot(X_8237)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_D)),bind(U,$fot(skolemFOFtoCNF_A)),bind(V,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_17,plain,
( ~ eqratio(X_8108,skolemFOFtoCNF_B_1,X_8108,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| eqratio(skolemFOFtoCNF_B_1,X_8108,X_8108,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_8108)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_8108)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_D)),bind(U,$fot(skolemFOFtoCNF_A)),bind(V,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_18,plain,
( ~ eqratio(A,B,C,D,P,Q,U,V)
| eqratio(A,B,P,Q,C,D,U,V) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_19,plain,
( ~ eqratio(X_8084,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_8084,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| eqratio(X_8084,skolemFOFtoCNF_B_1,X_8084,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_18:[bind(A,$fot(X_8084)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_D)),bind(P,$fot(X_8084)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(skolemFOFtoCNF_A)),bind(V,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_20,plain,
( ~ para(A,B,C,D)
| para(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_21,plain,
( ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_22,plain,
( ~ para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_23,plain,
( ~ para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_24,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_25,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D)
| para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_26,plain,
para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_26,refute_0_23]) ).
cnf(refute_0_28,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D),
inference(resolve,[$cnf( para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_27,refute_0_22]) ).
cnf(refute_0_29,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) )],[refute_0_28,refute_0_21]) ).
cnf(refute_0_30,plain,
( ~ coll(O,A,C)
| ~ coll(O,B,D)
| ~ para(A,B,C,D)
| eqratio(O,A,A,C,O,B,B,D) ),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_31,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_32,plain,
( ~ coll(X_2016,skolemFOFtoCNF_H,C)
| ~ coll(X_2016,skolemFOFtoCNF_H,X_2017)
| coll(C,X_2017,X_2016) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(X_2016)),bind(B,$fot(skolemFOFtoCNF_H)),bind(D,$fot(X_2017))]]) ).
cnf(refute_0_33,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_34,plain,
( ~ coll(skolemFOFtoCNF_H,X_2014,X_2015)
| coll(X_2014,skolemFOFtoCNF_H,X_2015) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(X_2014)),bind(C,$fot(X_2015))]]) ).
cnf(refute_0_35,plain,
( ~ coll(X_1965,skolemFOFtoCNF_A,D)
| ~ coll(X_1965,skolemFOFtoCNF_A,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_H,D,X_1965) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(X_1965)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_36,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,C)
| ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_A)
| coll(C,skolemFOFtoCNF_A,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_H)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_37,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_H)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_38,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_39,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_H,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_40,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_H,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_41,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_42,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_43,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,X_648)
| ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(X_648,skolemFOFtoCNF_A,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_648)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_45,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,X_648)
| coll(X_648,skolemFOFtoCNF_A,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_45:[bind(X_648,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_47,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_48,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_49,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_H,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_50,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_E,X_649)
| ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_649,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_649))]]) ).
cnf(refute_0_52,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_E,X_649)
| coll(skolemFOFtoCNF_B_1,X_649,skolemFOFtoCNF_H) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_E,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_52:[bind(X_649,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_54,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_F,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_H,skolemFOFtoCNF_E,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_55,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_H,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_H,skolemFOFtoCNF_F,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_56,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_H,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_57,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_H)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_58,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_59,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_60,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_H) )],[refute_0_60,refute_0_57]) ).
cnf(refute_0_62,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_H)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_63,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_64,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) )],[refute_0_48,refute_0_63]) ).
cnf(refute_0_65,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_H) )],[refute_0_64,refute_0_62]) ).
cnf(refute_0_66,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_648)
| ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_E)
| coll(X_648,skolemFOFtoCNF_E,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(X_648)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_67,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_648)
| coll(X_648,skolemFOFtoCNF_E,skolemFOFtoCNF_H) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_E) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_67:[bind(X_648,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_69,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_F) )],[refute_0_61,refute_0_68]) ).
cnf(refute_0_70,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_H,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_E,skolemFOFtoCNF_H) )],[refute_0_69,refute_0_56]) ).
cnf(refute_0_71,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_F,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_H,skolemFOFtoCNF_E) )],[refute_0_70,refute_0_55]) ).
cnf(refute_0_72,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_E,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_F,skolemFOFtoCNF_E) )],[refute_0_71,refute_0_54]) ).
cnf(refute_0_73,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_E,skolemFOFtoCNF_F) )],[refute_0_72,refute_0_53]) ).
cnf(refute_0_74,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_H) )],[refute_0_73,refute_0_47]) ).
cnf(refute_0_75,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H) )],[refute_0_74,refute_0_46]) ).
cnf(refute_0_76,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_H,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_F) )],[refute_0_75,refute_0_40]) ).
cnf(refute_0_77,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_H,skolemFOFtoCNF_F) )],[refute_0_76,refute_0_39]) ).
cnf(refute_0_78,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_H) )],[refute_0_77,refute_0_37]) ).
cnf(refute_0_79,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,C)
| coll(C,skolemFOFtoCNF_A,skolemFOFtoCNF_H) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_A) )],[refute_0_78,refute_0_36]) ).
cnf(refute_0_80,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_1870)
| coll(X_1870,skolemFOFtoCNF_A,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_79:[bind(C,$fot(X_1870))]]) ).
cnf(refute_0_81,plain,
( ~ coll(X_1824,X_1825,X_1825)
| coll(X_1825,X_1825,X_1824) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(X_1824)),bind(B,$fot(X_1825)),bind(C,$fot(X_1825)),bind(D,$fot(X_1825))]]) ).
cnf(refute_0_82,plain,
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_83,plain,
( ~ para(X_1822,X_1823,X_1822,X_1823)
| coll(X_1822,X_1823,X_1823) ),
inference(subst,[],[refute_0_82:[bind(A,$fot(X_1822)),bind(B,$fot(X_1823)),bind(C,$fot(X_1823))]]) ).
cnf(refute_0_84,plain,
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_85,plain,
( ~ eqangle(X_1805,X_1806,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_1805,X_1806,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D)
| para(X_1805,X_1806,X_1805,X_1806) ),
inference(subst,[],[refute_0_84:[bind(A,$fot(X_1805)),bind(B,$fot(X_1806)),bind(C,$fot(X_1805)),bind(D,$fot(X_1806)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_86,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_87,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_1793,X_1794,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_1793,X_1794)
| eqangle(X_1793,X_1794,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_1793,X_1794,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_86:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(X_1793)),bind(D,$fot(X_1794)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_D)),bind(U,$fot(X_1793)),bind(V,$fot(X_1794))]]) ).
cnf(refute_0_88,plain,
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_89,plain,
( ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D)
| eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,P,Q,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,P,Q) ),
inference(subst,[],[refute_0_88:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_90,plain,
( ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_91,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D),
inference(canonicalize,[],[normalize_0_43]) ).
cnf(refute_0_92,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_93,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_95,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D) )],[refute_0_91,refute_0_94]) ).
cnf(refute_0_96,plain,
( ~ para(A,B,C,D)
| ~ para(C,D,E,F)
| para(A,B,E,F) ),
inference(canonicalize,[],[normalize_0_45]) ).
cnf(refute_0_97,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,X_1787,X_1788)
| ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_1787,X_1788) ),
inference(subst,[],[refute_0_96:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(E,$fot(X_1787)),bind(F,$fot(X_1788))]]) ).
cnf(refute_0_98,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,X_1787,X_1788)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_1787,X_1788) ),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_95,refute_0_97]) ).
cnf(refute_0_99,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_98:[bind(X_1787,$fot(skolemFOFtoCNF_D)),bind(X_1788,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_100,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1) )],[refute_0_93,refute_0_99]) ).
cnf(refute_0_101,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1) )],[refute_0_100,refute_0_90]) ).
cnf(refute_0_102,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,P,Q,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,P,Q),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D) )],[refute_0_101,refute_0_89]) ).
cnf(refute_0_103,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_1793,X_1794,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_1793,X_1794),
inference(subst,[],[refute_0_102:[bind(P,$fot(X_1793)),bind(Q,$fot(X_1794))]]) ).
cnf(refute_0_104,plain,
eqangle(X_1793,X_1794,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_1793,X_1794,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_1793,X_1794,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_1793,X_1794) )],[refute_0_103,refute_0_87]) ).
cnf(refute_0_105,plain,
eqangle(X_1805,X_1806,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_1805,X_1806,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_104:[bind(X_1793,$fot(X_1805)),bind(X_1794,$fot(X_1806))]]) ).
cnf(refute_0_106,plain,
para(X_1805,X_1806,X_1805,X_1806),
inference(resolve,[$cnf( eqangle(X_1805,X_1806,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_1805,X_1806,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D) )],[refute_0_105,refute_0_85]) ).
cnf(refute_0_107,plain,
para(X_1822,X_1823,X_1822,X_1823),
inference(subst,[],[refute_0_106:[bind(X_1805,$fot(X_1822)),bind(X_1806,$fot(X_1823))]]) ).
cnf(refute_0_108,plain,
coll(X_1822,X_1823,X_1823),
inference(resolve,[$cnf( para(X_1822,X_1823,X_1822,X_1823) )],[refute_0_107,refute_0_83]) ).
cnf(refute_0_109,plain,
coll(X_1824,X_1825,X_1825),
inference(subst,[],[refute_0_108:[bind(X_1822,$fot(X_1824)),bind(X_1823,$fot(X_1825))]]) ).
cnf(refute_0_110,plain,
coll(X_1825,X_1825,X_1824),
inference(resolve,[$cnf( coll(X_1824,X_1825,X_1825) )],[refute_0_109,refute_0_81]) ).
cnf(refute_0_111,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_1870),
inference(subst,[],[refute_0_110:[bind(X_1824,$fot(X_1870)),bind(X_1825,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_112,plain,
coll(X_1870,skolemFOFtoCNF_A,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_1870) )],[refute_0_111,refute_0_80]) ).
cnf(refute_0_113,plain,
coll(X_1965,skolemFOFtoCNF_A,skolemFOFtoCNF_H),
inference(subst,[],[refute_0_112:[bind(X_1870,$fot(X_1965))]]) ).
cnf(refute_0_114,plain,
( ~ coll(X_1965,skolemFOFtoCNF_A,D)
| coll(skolemFOFtoCNF_H,D,X_1965) ),
inference(resolve,[$cnf( coll(X_1965,skolemFOFtoCNF_A,skolemFOFtoCNF_H) )],[refute_0_113,refute_0_35]) ).
cnf(refute_0_115,plain,
( ~ coll(X_1958,skolemFOFtoCNF_F,C)
| ~ coll(X_1958,skolemFOFtoCNF_F,X_1959)
| coll(C,X_1959,X_1958) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(X_1958)),bind(B,$fot(skolemFOFtoCNF_F)),bind(D,$fot(X_1959))]]) ).
cnf(refute_0_116,plain,
( ~ coll(X_1957,skolemFOFtoCNF_B_1,C)
| ~ coll(X_1957,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)
| coll(C,skolemFOFtoCNF_F,X_1957) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(X_1957)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_117,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_118,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_119,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_41,refute_0_118]) ).
cnf(refute_0_120,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) )],[refute_0_119,refute_0_117]) ).
cnf(refute_0_121,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_648)
| ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1)
| coll(X_648,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(X_648)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_122,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_648)
| coll(X_648,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_1870)
| coll(X_1870,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_122:[bind(X_648,$fot(X_1870))]]) ).
cnf(refute_0_124,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_1870),
inference(subst,[],[refute_0_110:[bind(X_1824,$fot(X_1870)),bind(X_1825,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_125,plain,
coll(X_1870,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_1870) )],[refute_0_124,refute_0_123]) ).
cnf(refute_0_126,plain,
coll(X_1957,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_125:[bind(X_1870,$fot(X_1957))]]) ).
cnf(refute_0_127,plain,
( ~ coll(X_1957,skolemFOFtoCNF_B_1,C)
| coll(C,skolemFOFtoCNF_F,X_1957) ),
inference(resolve,[$cnf( coll(X_1957,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) )],[refute_0_126,refute_0_116]) ).
cnf(refute_0_128,plain,
( ~ coll(X_1934,skolemFOFtoCNF_C_1,C)
| ~ coll(X_1934,skolemFOFtoCNF_C_1,X_1935)
| coll(C,X_1935,X_1934) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(X_1934)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_1935))]]) ).
cnf(refute_0_129,plain,
( ~ coll(X_1900,skolemFOFtoCNF_B_1,C)
| ~ coll(X_1900,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(C,skolemFOFtoCNF_C_1,X_1900) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(X_1900)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_130,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,C)
| ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(C,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_131,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_132,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_133,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_52:[bind(X_649,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_134,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_135,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_H,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_136,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F) )],[refute_0_58,refute_0_135]) ).
cnf(refute_0_137,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1) )],[refute_0_136,refute_0_134]) ).
cnf(refute_0_138,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_139,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D),
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_140,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_141,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1) )],[refute_0_141,refute_0_138]) ).
cnf(refute_0_143,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_648)
| ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E)
| coll(X_648,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(X_648)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_144,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_648)
| coll(X_648,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_H,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_144:[bind(X_648,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_146,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H) )],[refute_0_137,refute_0_145]) ).
cnf(refute_0_147,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) )],[refute_0_146,refute_0_133]) ).
cnf(refute_0_148,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H) )],[refute_0_147,refute_0_132]) ).
cnf(refute_0_149,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1) )],[refute_0_148,refute_0_131]) ).
cnf(refute_0_150,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,C)
| coll(C,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_149,refute_0_130]) ).
cnf(refute_0_151,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1870)
| coll(X_1870,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_150:[bind(C,$fot(X_1870))]]) ).
cnf(refute_0_152,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1870),
inference(subst,[],[refute_0_110:[bind(X_1824,$fot(X_1870)),bind(X_1825,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_153,plain,
coll(X_1870,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_1870) )],[refute_0_152,refute_0_151]) ).
cnf(refute_0_154,plain,
coll(X_1900,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_153:[bind(X_1870,$fot(X_1900))]]) ).
cnf(refute_0_155,plain,
( ~ coll(X_1900,skolemFOFtoCNF_B_1,C)
| coll(C,skolemFOFtoCNF_C_1,X_1900) ),
inference(resolve,[$cnf( coll(X_1900,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_154,refute_0_129]) ).
cnf(refute_0_156,plain,
( ~ coll(X_1871,X_1871,C)
| ~ coll(X_1871,X_1871,X_1870)
| coll(C,X_1870,X_1871) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(X_1871)),bind(B,$fot(X_1871)),bind(D,$fot(X_1870))]]) ).
cnf(refute_0_157,plain,
coll(X_1871,X_1871,X_1870),
inference(subst,[],[refute_0_110:[bind(X_1824,$fot(X_1870)),bind(X_1825,$fot(X_1871))]]) ).
cnf(refute_0_158,plain,
( ~ coll(X_1871,X_1871,C)
| coll(C,X_1870,X_1871) ),
inference(resolve,[$cnf( coll(X_1871,X_1871,X_1870) )],[refute_0_157,refute_0_156]) ).
cnf(refute_0_159,plain,
( ~ coll(X_1828,X_1827,X_1828)
| coll(X_1828,X_1828,X_1827) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(X_1828)),bind(B,$fot(X_1827)),bind(C,$fot(X_1828))]]) ).
cnf(refute_0_160,plain,
( ~ coll(X_1824,X_1825,X_1825)
| coll(X_1825,X_1824,X_1825) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(X_1824)),bind(B,$fot(X_1825)),bind(C,$fot(X_1825))]]) ).
cnf(refute_0_161,plain,
coll(X_1825,X_1824,X_1825),
inference(resolve,[$cnf( coll(X_1824,X_1825,X_1825) )],[refute_0_109,refute_0_160]) ).
cnf(refute_0_162,plain,
coll(X_1828,X_1827,X_1828),
inference(subst,[],[refute_0_161:[bind(X_1824,$fot(X_1827)),bind(X_1825,$fot(X_1828))]]) ).
cnf(refute_0_163,plain,
coll(X_1828,X_1828,X_1827),
inference(resolve,[$cnf( coll(X_1828,X_1827,X_1828) )],[refute_0_162,refute_0_159]) ).
cnf(refute_0_164,plain,
coll(X_1871,X_1871,C),
inference(subst,[],[refute_0_163:[bind(X_1827,$fot(C)),bind(X_1828,$fot(X_1871))]]) ).
cnf(refute_0_165,plain,
coll(C,X_1870,X_1871),
inference(resolve,[$cnf( coll(X_1871,X_1871,C) )],[refute_0_164,refute_0_158]) ).
cnf(refute_0_166,plain,
coll(X_1900,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_165:[bind(C,$fot(X_1900)),bind(X_1870,$fot(skolemFOFtoCNF_B_1)),bind(X_1871,$fot(C))]]) ).
cnf(refute_0_167,plain,
coll(C,skolemFOFtoCNF_C_1,X_1900),
inference(resolve,[$cnf( coll(X_1900,skolemFOFtoCNF_B_1,C) )],[refute_0_166,refute_0_155]) ).
cnf(refute_0_168,plain,
coll(X_1934,skolemFOFtoCNF_C_1,X_1935),
inference(subst,[],[refute_0_167:[bind(C,$fot(X_1934)),bind(X_1900,$fot(X_1935))]]) ).
cnf(refute_0_169,plain,
( ~ coll(X_1934,skolemFOFtoCNF_C_1,C)
| coll(C,X_1935,X_1934) ),
inference(resolve,[$cnf( coll(X_1934,skolemFOFtoCNF_C_1,X_1935) )],[refute_0_168,refute_0_128]) ).
cnf(refute_0_170,plain,
coll(X_1934,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_165:[bind(C,$fot(X_1934)),bind(X_1870,$fot(skolemFOFtoCNF_C_1)),bind(X_1871,$fot(C))]]) ).
cnf(refute_0_171,plain,
coll(C,X_1935,X_1934),
inference(resolve,[$cnf( coll(X_1934,skolemFOFtoCNF_C_1,C) )],[refute_0_170,refute_0_169]) ).
cnf(refute_0_172,plain,
coll(X_1957,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_171:[bind(C,$fot(X_1957)),bind(X_1934,$fot(C)),bind(X_1935,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_173,plain,
coll(C,skolemFOFtoCNF_F,X_1957),
inference(resolve,[$cnf( coll(X_1957,skolemFOFtoCNF_B_1,C) )],[refute_0_172,refute_0_127]) ).
cnf(refute_0_174,plain,
coll(X_1958,skolemFOFtoCNF_F,X_1959),
inference(subst,[],[refute_0_173:[bind(C,$fot(X_1958)),bind(X_1957,$fot(X_1959))]]) ).
cnf(refute_0_175,plain,
( ~ coll(X_1958,skolemFOFtoCNF_F,C)
| coll(C,X_1959,X_1958) ),
inference(resolve,[$cnf( coll(X_1958,skolemFOFtoCNF_F,X_1959) )],[refute_0_174,refute_0_115]) ).
cnf(refute_0_176,plain,
coll(X_1958,skolemFOFtoCNF_F,C),
inference(subst,[],[refute_0_171:[bind(C,$fot(X_1958)),bind(X_1934,$fot(C)),bind(X_1935,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_177,plain,
coll(C,X_1959,X_1958),
inference(resolve,[$cnf( coll(X_1958,skolemFOFtoCNF_F,C) )],[refute_0_176,refute_0_175]) ).
cnf(refute_0_178,plain,
coll(X_1965,skolemFOFtoCNF_A,D),
inference(subst,[],[refute_0_177:[bind(C,$fot(X_1965)),bind(X_1958,$fot(D)),bind(X_1959,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_179,plain,
coll(skolemFOFtoCNF_H,D,X_1965),
inference(resolve,[$cnf( coll(X_1965,skolemFOFtoCNF_A,D) )],[refute_0_178,refute_0_114]) ).
cnf(refute_0_180,plain,
coll(skolemFOFtoCNF_H,X_2014,X_2015),
inference(subst,[],[refute_0_179:[bind(D,$fot(X_2014)),bind(X_1965,$fot(X_2015))]]) ).
cnf(refute_0_181,plain,
coll(X_2014,skolemFOFtoCNF_H,X_2015),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,X_2014,X_2015) )],[refute_0_180,refute_0_34]) ).
cnf(refute_0_182,plain,
coll(X_2016,skolemFOFtoCNF_H,X_2017),
inference(subst,[],[refute_0_181:[bind(X_2014,$fot(X_2016)),bind(X_2015,$fot(X_2017))]]) ).
cnf(refute_0_183,plain,
( ~ coll(X_2016,skolemFOFtoCNF_H,C)
| coll(C,X_2017,X_2016) ),
inference(resolve,[$cnf( coll(X_2016,skolemFOFtoCNF_H,X_2017) )],[refute_0_182,refute_0_32]) ).
cnf(refute_0_184,plain,
( ~ coll(X_1974,skolemFOFtoCNF_E,C)
| ~ coll(X_1974,skolemFOFtoCNF_E,X_1975)
| coll(C,X_1975,X_1974) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(X_1974)),bind(B,$fot(skolemFOFtoCNF_E)),bind(D,$fot(X_1975))]]) ).
cnf(refute_0_185,plain,
( ~ coll(skolemFOFtoCNF_E,X_1937,X_1938)
| coll(X_1937,skolemFOFtoCNF_E,X_1938) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(X_1937)),bind(C,$fot(X_1938))]]) ).
cnf(refute_0_186,plain,
( ~ coll(X_1909,skolemFOFtoCNF_H,D)
| ~ coll(X_1909,skolemFOFtoCNF_H,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_E,D,X_1909) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(X_1909)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_187,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_648)
| ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_H)
| coll(X_648,skolemFOFtoCNF_H,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(X_648)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_188,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_648)
| coll(X_648,skolemFOFtoCNF_H,skolemFOFtoCNF_E) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_H) )],[refute_0_64,refute_0_187]) ).
cnf(refute_0_189,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1870)
| coll(X_1870,skolemFOFtoCNF_H,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_188:[bind(X_648,$fot(X_1870))]]) ).
cnf(refute_0_190,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1870),
inference(subst,[],[refute_0_110:[bind(X_1824,$fot(X_1870)),bind(X_1825,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_191,plain,
coll(X_1870,skolemFOFtoCNF_H,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_1870) )],[refute_0_190,refute_0_189]) ).
cnf(refute_0_192,plain,
coll(X_1909,skolemFOFtoCNF_H,skolemFOFtoCNF_E),
inference(subst,[],[refute_0_191:[bind(X_1870,$fot(X_1909))]]) ).
cnf(refute_0_193,plain,
( ~ coll(X_1909,skolemFOFtoCNF_H,D)
| coll(skolemFOFtoCNF_E,D,X_1909) ),
inference(resolve,[$cnf( coll(X_1909,skolemFOFtoCNF_H,skolemFOFtoCNF_E) )],[refute_0_192,refute_0_186]) ).
cnf(refute_0_194,plain,
coll(X_1909,skolemFOFtoCNF_H,D),
inference(subst,[],[refute_0_165:[bind(C,$fot(X_1909)),bind(X_1870,$fot(skolemFOFtoCNF_H)),bind(X_1871,$fot(D))]]) ).
cnf(refute_0_195,plain,
coll(skolemFOFtoCNF_E,D,X_1909),
inference(resolve,[$cnf( coll(X_1909,skolemFOFtoCNF_H,D) )],[refute_0_194,refute_0_193]) ).
cnf(refute_0_196,plain,
coll(skolemFOFtoCNF_E,X_1937,X_1938),
inference(subst,[],[refute_0_195:[bind(D,$fot(X_1937)),bind(X_1909,$fot(X_1938))]]) ).
cnf(refute_0_197,plain,
coll(X_1937,skolemFOFtoCNF_E,X_1938),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,X_1937,X_1938) )],[refute_0_196,refute_0_185]) ).
cnf(refute_0_198,plain,
coll(X_1974,skolemFOFtoCNF_E,X_1975),
inference(subst,[],[refute_0_197:[bind(X_1937,$fot(X_1974)),bind(X_1938,$fot(X_1975))]]) ).
cnf(refute_0_199,plain,
( ~ coll(X_1974,skolemFOFtoCNF_E,C)
| coll(C,X_1975,X_1974) ),
inference(resolve,[$cnf( coll(X_1974,skolemFOFtoCNF_E,X_1975) )],[refute_0_198,refute_0_184]) ).
cnf(refute_0_200,plain,
coll(X_1974,skolemFOFtoCNF_E,C),
inference(subst,[],[refute_0_177:[bind(C,$fot(X_1974)),bind(X_1958,$fot(C)),bind(X_1959,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_201,plain,
coll(C,X_1975,X_1974),
inference(resolve,[$cnf( coll(X_1974,skolemFOFtoCNF_E,C) )],[refute_0_200,refute_0_199]) ).
cnf(refute_0_202,plain,
coll(X_2016,skolemFOFtoCNF_H,C),
inference(subst,[],[refute_0_201:[bind(C,$fot(X_2016)),bind(X_1974,$fot(C)),bind(X_1975,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_203,plain,
coll(C,X_2017,X_2016),
inference(resolve,[$cnf( coll(X_2016,skolemFOFtoCNF_H,C) )],[refute_0_202,refute_0_183]) ).
cnf(refute_0_204,plain,
coll(O,A,C),
inference(subst,[],[refute_0_203:[bind(C,$fot(O)),bind(X_2016,$fot(C)),bind(X_2017,$fot(A))]]) ).
cnf(refute_0_205,plain,
( ~ coll(O,B,D)
| ~ para(A,B,C,D)
| eqratio(O,A,A,C,O,B,B,D) ),
inference(resolve,[$cnf( coll(O,A,C) )],[refute_0_204,refute_0_30]) ).
cnf(refute_0_206,plain,
coll(O,B,D),
inference(subst,[],[refute_0_203:[bind(C,$fot(O)),bind(X_2016,$fot(D)),bind(X_2017,$fot(B))]]) ).
cnf(refute_0_207,plain,
( ~ para(A,B,C,D)
| eqratio(O,A,A,C,O,B,B,D) ),
inference(resolve,[$cnf( coll(O,B,D) )],[refute_0_206,refute_0_205]) ).
cnf(refute_0_208,plain,
( ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1)
| eqratio(X_8076,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_8076,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_207:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(O,$fot(X_8076))]]) ).
cnf(refute_0_209,plain,
eqratio(X_8076,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_8076,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1) )],[refute_0_29,refute_0_208]) ).
cnf(refute_0_210,plain,
eqratio(X_8084,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_8084,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_209:[bind(X_8076,$fot(X_8084))]]) ).
cnf(refute_0_211,plain,
eqratio(X_8084,skolemFOFtoCNF_B_1,X_8084,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( eqratio(X_8084,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_8084,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_210,refute_0_19]) ).
cnf(refute_0_212,plain,
eqratio(X_8108,skolemFOFtoCNF_B_1,X_8108,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_211:[bind(X_8084,$fot(X_8108))]]) ).
cnf(refute_0_213,plain,
eqratio(skolemFOFtoCNF_B_1,X_8108,X_8108,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( eqratio(X_8108,skolemFOFtoCNF_B_1,X_8108,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_212,refute_0_17]) ).
cnf(refute_0_214,plain,
eqratio(skolemFOFtoCNF_B_1,X_8237,X_8237,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_213:[bind(X_8108,$fot(X_8237))]]) ).
cnf(refute_0_215,plain,
eqratio(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_8237,X_8237,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqratio(skolemFOFtoCNF_B_1,X_8237,X_8237,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_214,refute_0_16]) ).
cnf(refute_0_216,plain,
eqratio(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_8383,X_8383,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_215:[bind(X_8237,$fot(X_8383))]]) ).
cnf(refute_0_217,plain,
eqratio(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_8383,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_8383),
inference(resolve,[$cnf( eqratio(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_8383,X_8383,skolemFOFtoCNF_A) )],[refute_0_216,refute_0_15]) ).
cnf(refute_0_218,plain,
eqratio(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_8640,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_8640),
inference(subst,[],[refute_0_217:[bind(X_8383,$fot(X_8640))]]) ).
cnf(refute_0_219,plain,
eqratio(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_8640,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_8640),
inference(resolve,[$cnf( eqratio(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_8640,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_8640) )],[refute_0_218,refute_0_13]) ).
cnf(refute_0_220,plain,
eqratio(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_8876,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_8876),
inference(subst,[],[refute_0_219:[bind(X_8640,$fot(X_8876))]]) ).
cnf(refute_0_221,plain,
eqratio(X_8876,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_8876,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D),
inference(resolve,[$cnf( eqratio(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_8876,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_8876) )],[refute_0_220,refute_0_12]) ).
cnf(refute_0_222,plain,
eqratio(X_9234,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_9234,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_221:[bind(X_8876,$fot(X_9234))]]) ).
cnf(refute_0_223,plain,
eqratio(skolemFOFtoCNF_A,X_9234,skolemFOFtoCNF_B_1,X_9234,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D),
inference(resolve,[$cnf( eqratio(X_9234,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_9234,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D) )],[refute_0_222,refute_0_10]) ).
cnf(refute_0_224,plain,
eqratio(skolemFOFtoCNF_A,X_9428,skolemFOFtoCNF_B_1,X_9428,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_223:[bind(X_9234,$fot(X_9428))]]) ).
cnf(refute_0_225,plain,
( ~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D)
| cong(skolemFOFtoCNF_A,X_9428,skolemFOFtoCNF_B_1,X_9428) ),
inference(resolve,[$cnf( eqratio(skolemFOFtoCNF_A,X_9428,skolemFOFtoCNF_B_1,X_9428,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D) )],[refute_0_224,refute_0_8]) ).
cnf(refute_0_226,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(A,B,P,Q,C,D,U,V) ),
inference(canonicalize,[],[normalize_0_48]) ).
cnf(refute_0_227,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
| eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_226:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(skolemFOFtoCNF_A)),bind(V,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_228,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_86:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_D)),bind(U,$fot(skolemFOFtoCNF_B_1)),bind(V,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_229,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_226:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_D)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_C_1)),bind(U,$fot(skolemFOFtoCNF_B_1)),bind(V,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_230,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(B,A,C,D,P,Q,U,V) ),
inference(canonicalize,[],[normalize_0_50]) ).
cnf(refute_0_231,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_230:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_D)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_C_1)),bind(U,$fot(skolemFOFtoCNF_B_1)),bind(V,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_232,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(P,Q,U,V,A,B,C,D) ),
inference(canonicalize,[],[normalize_0_52]) ).
cnf(refute_0_233,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
| eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_232:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(skolemFOFtoCNF_A)),bind(V,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_234,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_86:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_D)),bind(U,$fot(skolemFOFtoCNF_B_1)),bind(V,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_235,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_232:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(skolemFOFtoCNF_B_1)),bind(V,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_236,plain,
( ~ eqangle(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_230:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(skolemFOFtoCNF_B_1)),bind(V,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_237,plain,
( ~ para(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| para(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_238,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_239,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) )],[refute_0_24,refute_0_238]) ).
cnf(refute_0_240,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1)
| para(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_241,plain,
para(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
para(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( para(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_241,refute_0_237]) ).
cnf(refute_0_243,plain,
( ~ cyclic(A,B,C,D)
| ~ para(A,B,C,D)
| eqangle(A,D,C,D,C,D,C,B) ),
inference(canonicalize,[],[normalize_0_54]) ).
cnf(refute_0_244,plain,
( ~ cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| ~ para(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_243:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_245,plain,
( ~ cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( para(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_242,refute_0_244]) ).
cnf(refute_0_246,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[normalize_0_56]) ).
cnf(refute_0_247,plain,
( ~ cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_2042,X_2043)
| cyclic(skolemFOFtoCNF_D,X_2042,skolemFOFtoCNF_B_1,X_2043) ),
inference(subst,[],[refute_0_246:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_2042)),bind(D,$fot(X_2043))]]) ).
cnf(refute_0_248,plain,
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[normalize_0_58]) ).
cnf(refute_0_249,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,D)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_1819)
| cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,D,X_1819) ),
inference(subst,[],[refute_0_248:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(X_1819))]]) ).
cnf(refute_0_250,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_60]) ).
cnf(refute_0_251,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_1815,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_1815) ),
inference(subst,[],[refute_0_250:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(X_1815)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_252,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1812,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_1812,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_246:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1812)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_253,plain,
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[normalize_0_62]) ).
cnf(refute_0_254,plain,
( ~ cyclic(X_1809,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,X_1809,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_253:[bind(A,$fot(X_1809)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_255,plain,
( ~ cyclic(X_1807,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cyclic(X_1807,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_246:[bind(A,$fot(X_1807)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_256,plain,
( ~ coll(P,Q,B)
| ~ eqangle(P,A,P,B,Q,A,Q,B)
| cyclic(A,B,P,Q) ),
inference(canonicalize,[],[normalize_0_64]) ).
cnf(refute_0_257,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D)
| ~ eqangle(skolemFOFtoCNF_B_1,X_1806,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_1806,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D)
| cyclic(X_1806,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_256:[bind(A,$fot(X_1806)),bind(B,$fot(skolemFOFtoCNF_D)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_258,plain,
eqangle(skolemFOFtoCNF_B_1,X_1806,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_1806,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_104:[bind(X_1793,$fot(skolemFOFtoCNF_B_1)),bind(X_1794,$fot(X_1806))]]) ).
cnf(refute_0_259,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D)
| cyclic(X_1806,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,X_1806,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_1806,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D) )],[refute_0_258,refute_0_257]) ).
cnf(refute_0_260,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_261,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_38:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_262,plain,
( ~ coll(skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_263,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_264,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_D,skolemFOFtoCNF_C_1) )],[refute_0_141,refute_0_263]) ).
cnf(refute_0_265,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) )],[refute_0_264,refute_0_262]) ).
cnf(refute_0_266,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_649)
| ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D)
| coll(skolemFOFtoCNF_D,X_649,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(X_649))]]) ).
cnf(refute_0_267,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_649)
| coll(skolemFOFtoCNF_D,X_649,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_D) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_267:[bind(X_649,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_269,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_149,refute_0_268]) ).
cnf(refute_0_270,plain,
coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_269,refute_0_261]) ).
cnf(refute_0_271,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_270,refute_0_260]) ).
cnf(refute_0_272,plain,
cyclic(X_1806,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D) )],[refute_0_271,refute_0_259]) ).
cnf(refute_0_273,plain,
cyclic(X_1807,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_272:[bind(X_1806,$fot(X_1807))]]) ).
cnf(refute_0_274,plain,
cyclic(X_1807,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(X_1807,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_273,refute_0_255]) ).
cnf(refute_0_275,plain,
cyclic(X_1809,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_274:[bind(X_1807,$fot(X_1809))]]) ).
cnf(refute_0_276,plain,
cyclic(skolemFOFtoCNF_B_1,X_1809,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(X_1809,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1) )],[refute_0_275,refute_0_254]) ).
cnf(refute_0_277,plain,
cyclic(skolemFOFtoCNF_B_1,X_1812,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_276:[bind(X_1809,$fot(X_1812))]]) ).
cnf(refute_0_278,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_1812,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1812,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1) )],[refute_0_277,refute_0_252]) ).
cnf(refute_0_279,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_1815,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_278:[bind(X_1812,$fot(X_1815))]]) ).
cnf(refute_0_280,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_1815),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_1815,skolemFOFtoCNF_B_1) )],[refute_0_279,refute_0_251]) ).
cnf(refute_0_281,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_1819),
inference(subst,[],[refute_0_280:[bind(X_1815,$fot(X_1819))]]) ).
cnf(refute_0_282,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,D)
| cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,D,X_1819) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_1819) )],[refute_0_281,refute_0_249]) ).
cnf(refute_0_283,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1818,E)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1818,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,X_1818,skolemFOFtoCNF_B_1,E) ),
inference(subst,[],[refute_0_248:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_1818)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_284,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1814,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1814,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_246:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1814)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_285,plain,
( ~ cyclic(X_1810,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,X_1810,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_253:[bind(A,$fot(X_1810)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_286,plain,
( ~ cyclic(skolemFOFtoCNF_D,X_1808,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cyclic(X_1808,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_248:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(X_1808)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_287,plain,
( ~ cyclic(X_1807,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_D,X_1807,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_253:[bind(A,$fot(X_1807)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_288,plain,
cyclic(skolemFOFtoCNF_D,X_1807,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(X_1807,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_273,refute_0_287]) ).
cnf(refute_0_289,plain,
cyclic(skolemFOFtoCNF_D,X_1808,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_288:[bind(X_1807,$fot(X_1808))]]) ).
cnf(refute_0_290,plain,
cyclic(X_1808,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_D,X_1808,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_289,refute_0_286]) ).
cnf(refute_0_291,plain,
cyclic(X_1810,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_290:[bind(X_1808,$fot(X_1810))]]) ).
cnf(refute_0_292,plain,
cyclic(skolemFOFtoCNF_B_1,X_1810,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(X_1810,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_291,refute_0_285]) ).
cnf(refute_0_293,plain,
cyclic(skolemFOFtoCNF_B_1,X_1814,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_292:[bind(X_1810,$fot(X_1814))]]) ).
cnf(refute_0_294,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1814,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1814,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_293,refute_0_284]) ).
cnf(refute_0_295,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1818,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_294:[bind(X_1814,$fot(X_1818))]]) ).
cnf(refute_0_296,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1818,E)
| cyclic(skolemFOFtoCNF_B_1,X_1818,skolemFOFtoCNF_B_1,E) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1818,skolemFOFtoCNF_B_1) )],[refute_0_295,refute_0_283]) ).
cnf(refute_0_297,plain,
( ~ cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D)
| ~ cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1817)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D,X_1817) ),
inference(subst,[],[refute_0_248:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(X_1817))]]) ).
cnf(refute_0_298,plain,
( ~ cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_1811,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1811) ),
inference(subst,[],[refute_0_250:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_1811)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_299,plain,
( ~ cyclic(skolemFOFtoCNF_D,X_1808,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_1808,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_246:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(X_1808)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_300,plain,
cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_1808,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_D,X_1808,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_289,refute_0_299]) ).
cnf(refute_0_301,plain,
cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_1811,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_300:[bind(X_1808,$fot(X_1811))]]) ).
cnf(refute_0_302,plain,
cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1811),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_1811,skolemFOFtoCNF_B_1) )],[refute_0_301,refute_0_298]) ).
cnf(refute_0_303,plain,
cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1817),
inference(subst,[],[refute_0_302:[bind(X_1811,$fot(X_1817))]]) ).
cnf(refute_0_304,plain,
( ~ cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D,X_1817) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1817) )],[refute_0_303,refute_0_297]) ).
cnf(refute_0_305,plain,
cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D),
inference(subst,[],[refute_0_302:[bind(X_1811,$fot(D))]]) ).
cnf(refute_0_306,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D,X_1817),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D) )],[refute_0_305,refute_0_304]) ).
cnf(refute_0_307,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1818,E),
inference(subst,[],[refute_0_306:[bind(D,$fot(X_1818)),bind(X_1817,$fot(E))]]) ).
cnf(refute_0_308,plain,
cyclic(skolemFOFtoCNF_B_1,X_1818,skolemFOFtoCNF_B_1,E),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1818,E) )],[refute_0_307,refute_0_296]) ).
cnf(refute_0_309,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,D),
inference(subst,[],[refute_0_308:[bind(E,$fot(D)),bind(X_1818,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_310,plain,
cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,D,X_1819),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,D) )],[refute_0_309,refute_0_282]) ).
cnf(refute_0_311,plain,
cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_2042,X_2043),
inference(subst,[],[refute_0_310:[bind(D,$fot(X_2042)),bind(X_1819,$fot(X_2043))]]) ).
cnf(refute_0_312,plain,
cyclic(skolemFOFtoCNF_D,X_2042,skolemFOFtoCNF_B_1,X_2043),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_2042,X_2043) )],[refute_0_311,refute_0_247]) ).
cnf(refute_0_313,plain,
cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_312:[bind(X_2042,$fot(skolemFOFtoCNF_C_1)),bind(X_2043,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_314,plain,
eqangle(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_313,refute_0_245]) ).
cnf(refute_0_315,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_D,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_314,refute_0_236]) ).
cnf(refute_0_316,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_315,refute_0_235]) ).
cnf(refute_0_317,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_316,refute_0_234]) ).
cnf(refute_0_318,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D) )],[refute_0_317,refute_0_233]) ).
cnf(refute_0_319,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_318,refute_0_231]) ).
cnf(refute_0_320,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_319,refute_0_229]) ).
cnf(refute_0_321,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_320,refute_0_228]) ).
cnf(refute_0_322,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_D) )],[refute_0_321,refute_0_227]) ).
cnf(refute_0_323,plain,
( ~ cyclic(A,B,C,P)
| ~ cyclic(A,B,C,Q)
| ~ cyclic(A,B,C,R)
| ~ eqangle(C,A,C,B,R,P,R,Q)
| cong(A,B,P,Q) ),
inference(canonicalize,[],[normalize_0_66]) ).
cnf(refute_0_324,plain,
( ~ cyclic(skolemFOFtoCNF_D,X_2579,X_2578,D)
| ~ cyclic(skolemFOFtoCNF_D,X_2579,X_2578,X_2580)
| cyclic(X_2579,X_2578,D,X_2580) ),
inference(subst,[],[refute_0_248:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(X_2579)),bind(C,$fot(X_2578)),bind(E,$fot(X_2580))]]) ).
cnf(refute_0_325,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_2173,D)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_2173,X_2174)
| cyclic(skolemFOFtoCNF_D,X_2173,D,X_2174) ),
inference(subst,[],[refute_0_248:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(X_2173)),bind(E,$fot(X_2174))]]) ).
cnf(refute_0_326,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,D)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_1831)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,D,X_1831) ),
inference(subst,[],[refute_0_248:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_D)),bind(E,$fot(X_1831))]]) ).
cnf(refute_0_327,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_1819)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_1819) ),
inference(subst,[],[refute_0_246:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_D)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_1819))]]) ).
cnf(refute_0_328,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_1819),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_1819) )],[refute_0_281,refute_0_327]) ).
cnf(refute_0_329,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_1831),
inference(subst,[],[refute_0_328:[bind(X_1819,$fot(X_1831))]]) ).
cnf(refute_0_330,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,D)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,D,X_1831) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_1831) )],[refute_0_329,refute_0_326]) ).
cnf(refute_0_331,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1821,E)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1821,skolemFOFtoCNF_D)
| cyclic(skolemFOFtoCNF_B_1,X_1821,skolemFOFtoCNF_D,E) ),
inference(subst,[],[refute_0_248:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_1821)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_332,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1816,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1816,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_246:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1816)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_333,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1812,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,X_1812,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_250:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1812)),bind(C,$fot(skolemFOFtoCNF_D)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_334,plain,
cyclic(skolemFOFtoCNF_B_1,X_1812,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1812,skolemFOFtoCNF_D,skolemFOFtoCNF_B_1) )],[refute_0_277,refute_0_333]) ).
cnf(refute_0_335,plain,
cyclic(skolemFOFtoCNF_B_1,X_1816,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_334:[bind(X_1812,$fot(X_1816))]]) ).
cnf(refute_0_336,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1816,skolemFOFtoCNF_D),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1816,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D) )],[refute_0_335,refute_0_332]) ).
cnf(refute_0_337,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1821,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_336:[bind(X_1816,$fot(X_1821))]]) ).
cnf(refute_0_338,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1821,E)
| cyclic(skolemFOFtoCNF_B_1,X_1821,skolemFOFtoCNF_D,E) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1821,skolemFOFtoCNF_D) )],[refute_0_337,refute_0_331]) ).
cnf(refute_0_339,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1821,E),
inference(subst,[],[refute_0_306:[bind(D,$fot(X_1821)),bind(X_1817,$fot(E))]]) ).
cnf(refute_0_340,plain,
cyclic(skolemFOFtoCNF_B_1,X_1821,skolemFOFtoCNF_D,E),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1821,E) )],[refute_0_339,refute_0_338]) ).
cnf(refute_0_341,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,D),
inference(subst,[],[refute_0_340:[bind(E,$fot(D)),bind(X_1821,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_342,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,D,X_1831),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,D) )],[refute_0_341,refute_0_330]) ).
cnf(refute_0_343,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_2173,X_2174),
inference(subst,[],[refute_0_342:[bind(D,$fot(X_2173)),bind(X_1831,$fot(X_2174))]]) ).
cnf(refute_0_344,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_2173,D)
| cyclic(skolemFOFtoCNF_D,X_2173,D,X_2174) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_2173,X_2174) )],[refute_0_343,refute_0_325]) ).
cnf(refute_0_345,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_2047,skolemFOFtoCNF_D,D)
| ~ cyclic(skolemFOFtoCNF_B_1,X_2047,skolemFOFtoCNF_D,X_2046)
| cyclic(X_2047,skolemFOFtoCNF_D,D,X_2046) ),
inference(subst,[],[refute_0_248:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_2047)),bind(C,$fot(skolemFOFtoCNF_D)),bind(E,$fot(X_2046))]]) ).
cnf(refute_0_346,plain,
cyclic(skolemFOFtoCNF_B_1,X_2047,skolemFOFtoCNF_D,X_2046),
inference(subst,[],[refute_0_340:[bind(E,$fot(X_2046)),bind(X_1821,$fot(X_2047))]]) ).
cnf(refute_0_347,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_2047,skolemFOFtoCNF_D,D)
| cyclic(X_2047,skolemFOFtoCNF_D,D,X_2046) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_2047,skolemFOFtoCNF_D,X_2046) )],[refute_0_346,refute_0_345]) ).
cnf(refute_0_348,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_2045,X_2044,E)
| ~ cyclic(skolemFOFtoCNF_B_1,X_2045,X_2044,skolemFOFtoCNF_D)
| cyclic(X_2045,X_2044,skolemFOFtoCNF_D,E) ),
inference(subst,[],[refute_0_248:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_2045)),bind(C,$fot(X_2044)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_349,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1821,D)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1821,skolemFOFtoCNF_D)
| cyclic(skolemFOFtoCNF_B_1,X_1821,D,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_248:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_1821)),bind(E,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_350,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1821,D)
| cyclic(skolemFOFtoCNF_B_1,X_1821,D,skolemFOFtoCNF_D) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1821,skolemFOFtoCNF_D) )],[refute_0_337,refute_0_349]) ).
cnf(refute_0_351,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1821,D),
inference(subst,[],[refute_0_306:[bind(D,$fot(X_1821)),bind(X_1817,$fot(D))]]) ).
cnf(refute_0_352,plain,
cyclic(skolemFOFtoCNF_B_1,X_1821,D,skolemFOFtoCNF_D),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1821,D) )],[refute_0_351,refute_0_350]) ).
cnf(refute_0_353,plain,
cyclic(skolemFOFtoCNF_B_1,X_2045,X_2044,skolemFOFtoCNF_D),
inference(subst,[],[refute_0_352:[bind(D,$fot(X_2044)),bind(X_1821,$fot(X_2045))]]) ).
cnf(refute_0_354,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_2045,X_2044,E)
| cyclic(X_2045,X_2044,skolemFOFtoCNF_D,E) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_2045,X_2044,skolemFOFtoCNF_D) )],[refute_0_353,refute_0_348]) ).
cnf(refute_0_355,plain,
( ~ cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_2042,D)
| ~ cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_2042,X_2043)
| cyclic(skolemFOFtoCNF_B_1,X_2042,D,X_2043) ),
inference(subst,[],[refute_0_248:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_2042)),bind(E,$fot(X_2043))]]) ).
cnf(refute_0_356,plain,
( ~ cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_2042,D)
| cyclic(skolemFOFtoCNF_B_1,X_2042,D,X_2043) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_2042,X_2043) )],[refute_0_311,refute_0_355]) ).
cnf(refute_0_357,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_2037,skolemFOFtoCNF_B_1,D)
| ~ cyclic(skolemFOFtoCNF_B_1,X_2037,skolemFOFtoCNF_B_1,X_2036)
| cyclic(X_2037,skolemFOFtoCNF_B_1,D,X_2036) ),
inference(subst,[],[refute_0_248:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_2037)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(X_2036))]]) ).
cnf(refute_0_358,plain,
cyclic(skolemFOFtoCNF_B_1,X_2037,skolemFOFtoCNF_B_1,X_2036),
inference(subst,[],[refute_0_308:[bind(E,$fot(X_2036)),bind(X_1818,$fot(X_2037))]]) ).
cnf(refute_0_359,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_2037,skolemFOFtoCNF_B_1,D)
| cyclic(X_2037,skolemFOFtoCNF_B_1,D,X_2036) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_2037,skolemFOFtoCNF_B_1,X_2036) )],[refute_0_358,refute_0_357]) ).
cnf(refute_0_360,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_2035,X_2034,E)
| ~ cyclic(skolemFOFtoCNF_B_1,X_2035,X_2034,skolemFOFtoCNF_B_1)
| cyclic(X_2035,X_2034,skolemFOFtoCNF_B_1,E) ),
inference(subst,[],[refute_0_248:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_2035)),bind(C,$fot(X_2034)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_361,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1818,D)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1818,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,X_1818,D,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_248:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_1818)),bind(E,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_362,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1818,D)
| cyclic(skolemFOFtoCNF_B_1,X_1818,D,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1818,skolemFOFtoCNF_B_1) )],[refute_0_295,refute_0_361]) ).
cnf(refute_0_363,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1818,D),
inference(subst,[],[refute_0_306:[bind(D,$fot(X_1818)),bind(X_1817,$fot(D))]]) ).
cnf(refute_0_364,plain,
cyclic(skolemFOFtoCNF_B_1,X_1818,D,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1818,D) )],[refute_0_363,refute_0_362]) ).
cnf(refute_0_365,plain,
cyclic(skolemFOFtoCNF_B_1,X_2035,X_2034,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_364:[bind(D,$fot(X_2034)),bind(X_1818,$fot(X_2035))]]) ).
cnf(refute_0_366,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_2035,X_2034,E)
| cyclic(X_2035,X_2034,skolemFOFtoCNF_B_1,E) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_2035,X_2034,skolemFOFtoCNF_B_1) )],[refute_0_365,refute_0_360]) ).
cnf(refute_0_367,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2032,D)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2032,X_2033)
| cyclic(skolemFOFtoCNF_B_1,X_2032,D,X_2033) ),
inference(subst,[],[refute_0_248:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_2032)),bind(E,$fot(X_2033))]]) ).
cnf(refute_0_368,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2032,X_2033),
inference(subst,[],[refute_0_306:[bind(D,$fot(X_2032)),bind(X_1817,$fot(X_2033))]]) ).
cnf(refute_0_369,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2032,D)
| cyclic(skolemFOFtoCNF_B_1,X_2032,D,X_2033) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2032,X_2033) )],[refute_0_368,refute_0_367]) ).
cnf(refute_0_370,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1829)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D,X_1829) ),
inference(subst,[],[refute_0_248:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(X_1829))]]) ).
cnf(refute_0_371,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1818,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1818) ),
inference(subst,[],[refute_0_250:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_1818)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_372,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1818),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1818,skolemFOFtoCNF_B_1) )],[refute_0_295,refute_0_371]) ).
cnf(refute_0_373,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1829),
inference(subst,[],[refute_0_372:[bind(X_1818,$fot(X_1829))]]) ).
cnf(refute_0_374,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D,X_1829) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1829) )],[refute_0_373,refute_0_370]) ).
cnf(refute_0_375,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1826,E)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1826,X_1826)
| cyclic(skolemFOFtoCNF_B_1,X_1826,X_1826,E) ),
inference(subst,[],[refute_0_248:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_1826)),bind(D,$fot(X_1826))]]) ).
cnf(refute_0_376,plain,
( ~ cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1817)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1817,X_1817) ),
inference(subst,[],[refute_0_248:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_1817)),bind(E,$fot(X_1817))]]) ).
cnf(refute_0_377,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1817,X_1817),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1817) )],[refute_0_303,refute_0_376]) ).
cnf(refute_0_378,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1826,X_1826),
inference(subst,[],[refute_0_377:[bind(X_1817,$fot(X_1826))]]) ).
cnf(refute_0_379,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1826,E)
| cyclic(skolemFOFtoCNF_B_1,X_1826,X_1826,E) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1826,X_1826) )],[refute_0_378,refute_0_375]) ).
cnf(refute_0_380,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1826,E),
inference(subst,[],[refute_0_306:[bind(D,$fot(X_1826)),bind(X_1817,$fot(E))]]) ).
cnf(refute_0_381,plain,
cyclic(skolemFOFtoCNF_B_1,X_1826,X_1826,E),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1826,E) )],[refute_0_380,refute_0_379]) ).
cnf(refute_0_382,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D),
inference(subst,[],[refute_0_381:[bind(E,$fot(D)),bind(X_1826,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_383,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D,X_1829),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D) )],[refute_0_382,refute_0_374]) ).
cnf(refute_0_384,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2032,D),
inference(subst,[],[refute_0_383:[bind(D,$fot(X_2032)),bind(X_1829,$fot(D))]]) ).
cnf(refute_0_385,plain,
cyclic(skolemFOFtoCNF_B_1,X_2032,D,X_2033),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_2032,D) )],[refute_0_384,refute_0_369]) ).
cnf(refute_0_386,plain,
cyclic(skolemFOFtoCNF_B_1,X_2035,X_2034,E),
inference(subst,[],[refute_0_385:[bind(D,$fot(X_2034)),bind(X_2032,$fot(X_2035)),bind(X_2033,$fot(E))]]) ).
cnf(refute_0_387,plain,
cyclic(X_2035,X_2034,skolemFOFtoCNF_B_1,E),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_2035,X_2034,E) )],[refute_0_386,refute_0_366]) ).
cnf(refute_0_388,plain,
cyclic(skolemFOFtoCNF_B_1,X_2037,skolemFOFtoCNF_B_1,D),
inference(subst,[],[refute_0_387:[bind(E,$fot(D)),bind(X_2034,$fot(X_2037)),bind(X_2035,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_389,plain,
cyclic(X_2037,skolemFOFtoCNF_B_1,D,X_2036),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_2037,skolemFOFtoCNF_B_1,D) )],[refute_0_388,refute_0_359]) ).
cnf(refute_0_390,plain,
cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_2042,D),
inference(subst,[],[refute_0_389:[bind(D,$fot(X_2042)),bind(X_2036,$fot(D)),bind(X_2037,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_391,plain,
cyclic(skolemFOFtoCNF_B_1,X_2042,D,X_2043),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_D,skolemFOFtoCNF_B_1,X_2042,D) )],[refute_0_390,refute_0_356]) ).
cnf(refute_0_392,plain,
cyclic(skolemFOFtoCNF_B_1,X_2045,X_2044,E),
inference(subst,[],[refute_0_391:[bind(D,$fot(X_2044)),bind(X_2042,$fot(X_2045)),bind(X_2043,$fot(E))]]) ).
cnf(refute_0_393,plain,
cyclic(X_2045,X_2044,skolemFOFtoCNF_D,E),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_2045,X_2044,E) )],[refute_0_392,refute_0_354]) ).
cnf(refute_0_394,plain,
cyclic(skolemFOFtoCNF_B_1,X_2047,skolemFOFtoCNF_D,D),
inference(subst,[],[refute_0_393:[bind(E,$fot(D)),bind(X_2044,$fot(X_2047)),bind(X_2045,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_395,plain,
cyclic(X_2047,skolemFOFtoCNF_D,D,X_2046),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_2047,skolemFOFtoCNF_D,D) )],[refute_0_394,refute_0_347]) ).
cnf(refute_0_396,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_2173,D),
inference(subst,[],[refute_0_395:[bind(D,$fot(X_2173)),bind(X_2046,$fot(D)),bind(X_2047,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_397,plain,
cyclic(skolemFOFtoCNF_D,X_2173,D,X_2174),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D,X_2173,D) )],[refute_0_396,refute_0_344]) ).
cnf(refute_0_398,plain,
cyclic(skolemFOFtoCNF_D,X_2579,X_2578,X_2580),
inference(subst,[],[refute_0_397:[bind(D,$fot(X_2578)),bind(X_2173,$fot(X_2579)),bind(X_2174,$fot(X_2580))]]) ).
cnf(refute_0_399,plain,
( ~ cyclic(skolemFOFtoCNF_D,X_2579,X_2578,D)
| cyclic(X_2579,X_2578,D,X_2580) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_D,X_2579,X_2578,X_2580) )],[refute_0_398,refute_0_324]) ).
cnf(refute_0_400,plain,
( ~ cyclic(X_2523,X_2522,X_2523,D)
| ~ cyclic(X_2523,X_2522,X_2523,X_2521)
| cyclic(X_2522,X_2523,D,X_2521) ),
inference(subst,[],[refute_0_248:[bind(A,$fot(X_2523)),bind(B,$fot(X_2522)),bind(C,$fot(X_2523)),bind(E,$fot(X_2521))]]) ).
cnf(refute_0_401,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_2126,X_2125,E)
| ~ cyclic(skolemFOFtoCNF_B_1,X_2126,X_2125,X_2126)
| cyclic(X_2126,X_2125,X_2126,E) ),
inference(subst,[],[refute_0_248:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_2126)),bind(C,$fot(X_2125)),bind(D,$fot(X_2126))]]) ).
cnf(refute_0_402,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1826,D)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1826,X_1826)
| cyclic(skolemFOFtoCNF_B_1,X_1826,D,X_1826) ),
inference(subst,[],[refute_0_248:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_1826)),bind(E,$fot(X_1826))]]) ).
cnf(refute_0_403,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1826,D)
| cyclic(skolemFOFtoCNF_B_1,X_1826,D,X_1826) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1826,X_1826) )],[refute_0_378,refute_0_402]) ).
cnf(refute_0_404,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1826,D),
inference(subst,[],[refute_0_306:[bind(D,$fot(X_1826)),bind(X_1817,$fot(D))]]) ).
cnf(refute_0_405,plain,
cyclic(skolemFOFtoCNF_B_1,X_1826,D,X_1826),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1826,D) )],[refute_0_404,refute_0_403]) ).
cnf(refute_0_406,plain,
cyclic(skolemFOFtoCNF_B_1,X_2126,X_2125,X_2126),
inference(subst,[],[refute_0_405:[bind(D,$fot(X_2125)),bind(X_1826,$fot(X_2126))]]) ).
cnf(refute_0_407,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_2126,X_2125,E)
| cyclic(X_2126,X_2125,X_2126,E) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_2126,X_2125,X_2126) )],[refute_0_406,refute_0_401]) ).
cnf(refute_0_408,plain,
cyclic(skolemFOFtoCNF_B_1,X_2126,X_2125,E),
inference(subst,[],[refute_0_391:[bind(D,$fot(X_2125)),bind(X_2042,$fot(X_2126)),bind(X_2043,$fot(E))]]) ).
cnf(refute_0_409,plain,
cyclic(X_2126,X_2125,X_2126,E),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_2126,X_2125,E) )],[refute_0_408,refute_0_407]) ).
cnf(refute_0_410,plain,
cyclic(X_2523,X_2522,X_2523,X_2521),
inference(subst,[],[refute_0_409:[bind(E,$fot(X_2521)),bind(X_2125,$fot(X_2522)),bind(X_2126,$fot(X_2523))]]) ).
cnf(refute_0_411,plain,
( ~ cyclic(X_2523,X_2522,X_2523,D)
| cyclic(X_2522,X_2523,D,X_2521) ),
inference(resolve,[$cnf( cyclic(X_2523,X_2522,X_2523,X_2521) )],[refute_0_410,refute_0_400]) ).
cnf(refute_0_412,plain,
( ~ cyclic(X_2520,X_2519,X_2518,D)
| ~ cyclic(X_2520,X_2519,X_2518,X_2520)
| cyclic(X_2519,X_2518,D,X_2520) ),
inference(subst,[],[refute_0_248:[bind(A,$fot(X_2520)),bind(B,$fot(X_2519)),bind(C,$fot(X_2518)),bind(E,$fot(X_2520))]]) ).
cnf(refute_0_413,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_2126,X_2125,D)
| ~ cyclic(skolemFOFtoCNF_B_1,X_2126,X_2125,X_2126)
| cyclic(X_2126,X_2125,D,X_2126) ),
inference(subst,[],[refute_0_248:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_2126)),bind(C,$fot(X_2125)),bind(E,$fot(X_2126))]]) ).
cnf(refute_0_414,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_2126,X_2125,D)
| cyclic(X_2126,X_2125,D,X_2126) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_2126,X_2125,X_2126) )],[refute_0_406,refute_0_413]) ).
cnf(refute_0_415,plain,
cyclic(skolemFOFtoCNF_B_1,X_2126,X_2125,D),
inference(subst,[],[refute_0_391:[bind(D,$fot(X_2125)),bind(X_2042,$fot(X_2126)),bind(X_2043,$fot(D))]]) ).
cnf(refute_0_416,plain,
cyclic(X_2126,X_2125,D,X_2126),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_2126,X_2125,D) )],[refute_0_415,refute_0_414]) ).
cnf(refute_0_417,plain,
cyclic(X_2520,X_2519,X_2518,X_2520),
inference(subst,[],[refute_0_416:[bind(D,$fot(X_2518)),bind(X_2125,$fot(X_2519)),bind(X_2126,$fot(X_2520))]]) ).
cnf(refute_0_418,plain,
( ~ cyclic(X_2520,X_2519,X_2518,D)
| cyclic(X_2519,X_2518,D,X_2520) ),
inference(resolve,[$cnf( cyclic(X_2520,X_2519,X_2518,X_2520) )],[refute_0_417,refute_0_412]) ).
cnf(refute_0_419,plain,
( ~ cyclic(X_2469,X_2469,X_2467,D)
| ~ cyclic(X_2469,X_2469,X_2467,X_2468)
| cyclic(X_2469,X_2467,D,X_2468) ),
inference(subst,[],[refute_0_248:[bind(A,$fot(X_2469)),bind(B,$fot(X_2469)),bind(C,$fot(X_2467)),bind(E,$fot(X_2468))]]) ).
cnf(refute_0_420,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_2128,X_2128,D)
| ~ cyclic(skolemFOFtoCNF_B_1,X_2128,X_2128,X_2127)
| cyclic(X_2128,X_2128,D,X_2127) ),
inference(subst,[],[refute_0_248:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_2128)),bind(C,$fot(X_2128)),bind(E,$fot(X_2127))]]) ).
cnf(refute_0_421,plain,
cyclic(skolemFOFtoCNF_B_1,X_2128,X_2128,X_2127),
inference(subst,[],[refute_0_381:[bind(E,$fot(X_2127)),bind(X_1826,$fot(X_2128))]]) ).
cnf(refute_0_422,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_2128,X_2128,D)
| cyclic(X_2128,X_2128,D,X_2127) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_2128,X_2128,X_2127) )],[refute_0_421,refute_0_420]) ).
cnf(refute_0_423,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_2126,X_2125,X_2126)
| cyclic(skolemFOFtoCNF_B_1,X_2126,X_2126,X_2125) ),
inference(subst,[],[refute_0_250:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_2126)),bind(C,$fot(X_2125)),bind(D,$fot(X_2126))]]) ).
cnf(refute_0_424,plain,
cyclic(skolemFOFtoCNF_B_1,X_2126,X_2126,X_2125),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_2126,X_2125,X_2126) )],[refute_0_406,refute_0_423]) ).
cnf(refute_0_425,plain,
cyclic(skolemFOFtoCNF_B_1,X_2128,X_2128,D),
inference(subst,[],[refute_0_424:[bind(X_2125,$fot(D)),bind(X_2126,$fot(X_2128))]]) ).
cnf(refute_0_426,plain,
cyclic(X_2128,X_2128,D,X_2127),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_2128,X_2128,D) )],[refute_0_425,refute_0_422]) ).
cnf(refute_0_427,plain,
cyclic(X_2469,X_2469,X_2467,X_2468),
inference(subst,[],[refute_0_426:[bind(D,$fot(X_2467)),bind(X_2127,$fot(X_2468)),bind(X_2128,$fot(X_2469))]]) ).
cnf(refute_0_428,plain,
( ~ cyclic(X_2469,X_2469,X_2467,D)
| cyclic(X_2469,X_2467,D,X_2468) ),
inference(resolve,[$cnf( cyclic(X_2469,X_2469,X_2467,X_2468) )],[refute_0_427,refute_0_419]) ).
cnf(refute_0_429,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_2372,X_2371,D)
| ~ cyclic(skolemFOFtoCNF_B_1,X_2372,X_2371,X_2373)
| cyclic(X_2372,X_2371,D,X_2373) ),
inference(subst,[],[refute_0_248:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_2372)),bind(C,$fot(X_2371)),bind(E,$fot(X_2373))]]) ).
cnf(refute_0_430,plain,
cyclic(skolemFOFtoCNF_B_1,X_2372,X_2371,X_2373),
inference(subst,[],[refute_0_385:[bind(D,$fot(X_2371)),bind(X_2032,$fot(X_2372)),bind(X_2033,$fot(X_2373))]]) ).
cnf(refute_0_431,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_2372,X_2371,D)
| cyclic(X_2372,X_2371,D,X_2373) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_2372,X_2371,X_2373) )],[refute_0_430,refute_0_429]) ).
cnf(refute_0_432,plain,
( ~ cyclic(X_2220,skolemFOFtoCNF_B_1,X_2219,D)
| ~ cyclic(X_2220,skolemFOFtoCNF_B_1,X_2219,X_2220)
| cyclic(skolemFOFtoCNF_B_1,X_2219,D,X_2220) ),
inference(subst,[],[refute_0_248:[bind(A,$fot(X_2220)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_2219)),bind(E,$fot(X_2220))]]) ).
cnf(refute_0_433,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1835,skolemFOFtoCNF_B_1,D)
| ~ cyclic(skolemFOFtoCNF_B_1,X_1835,skolemFOFtoCNF_B_1,X_1835)
| cyclic(X_1835,skolemFOFtoCNF_B_1,D,X_1835) ),
inference(subst,[],[refute_0_248:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1835)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(X_1835))]]) ).
cnf(refute_0_434,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1826,X_1826)
| cyclic(skolemFOFtoCNF_B_1,X_1826,skolemFOFtoCNF_B_1,X_1826) ),
inference(subst,[],[refute_0_246:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_1826)),bind(D,$fot(X_1826))]]) ).
cnf(refute_0_435,plain,
cyclic(skolemFOFtoCNF_B_1,X_1826,skolemFOFtoCNF_B_1,X_1826),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1826,X_1826) )],[refute_0_378,refute_0_434]) ).
cnf(refute_0_436,plain,
cyclic(skolemFOFtoCNF_B_1,X_1835,skolemFOFtoCNF_B_1,X_1835),
inference(subst,[],[refute_0_435:[bind(X_1826,$fot(X_1835))]]) ).
cnf(refute_0_437,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1835,skolemFOFtoCNF_B_1,D)
| cyclic(X_1835,skolemFOFtoCNF_B_1,D,X_1835) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1835,skolemFOFtoCNF_B_1,X_1835) )],[refute_0_436,refute_0_433]) ).
cnf(refute_0_438,plain,
cyclic(skolemFOFtoCNF_B_1,X_1835,skolemFOFtoCNF_B_1,D),
inference(subst,[],[refute_0_308:[bind(E,$fot(D)),bind(X_1818,$fot(X_1835))]]) ).
cnf(refute_0_439,plain,
cyclic(X_1835,skolemFOFtoCNF_B_1,D,X_1835),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1835,skolemFOFtoCNF_B_1,D) )],[refute_0_438,refute_0_437]) ).
cnf(refute_0_440,plain,
cyclic(X_2220,skolemFOFtoCNF_B_1,X_2219,X_2220),
inference(subst,[],[refute_0_439:[bind(D,$fot(X_2219)),bind(X_1835,$fot(X_2220))]]) ).
cnf(refute_0_441,plain,
( ~ cyclic(X_2220,skolemFOFtoCNF_B_1,X_2219,D)
| cyclic(skolemFOFtoCNF_B_1,X_2219,D,X_2220) ),
inference(resolve,[$cnf( cyclic(X_2220,skolemFOFtoCNF_B_1,X_2219,X_2220) )],[refute_0_440,refute_0_432]) ).
cnf(refute_0_442,plain,
( ~ cyclic(skolemFOFtoCNF_D,X_2203,skolemFOFtoCNF_B_1,D)
| ~ cyclic(skolemFOFtoCNF_D,X_2203,skolemFOFtoCNF_B_1,X_2204)
| cyclic(X_2203,skolemFOFtoCNF_B_1,D,X_2204) ),
inference(subst,[],[refute_0_248:[bind(A,$fot(skolemFOFtoCNF_D)),bind(B,$fot(X_2203)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(X_2204))]]) ).
cnf(refute_0_443,plain,
cyclic(skolemFOFtoCNF_D,X_2203,skolemFOFtoCNF_B_1,X_2204),
inference(subst,[],[refute_0_312:[bind(X_2042,$fot(X_2203)),bind(X_2043,$fot(X_2204))]]) ).
cnf(refute_0_444,plain,
( ~ cyclic(skolemFOFtoCNF_D,X_2203,skolemFOFtoCNF_B_1,D)
| cyclic(X_2203,skolemFOFtoCNF_B_1,D,X_2204) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_D,X_2203,skolemFOFtoCNF_B_1,X_2204) )],[refute_0_443,refute_0_442]) ).
cnf(refute_0_445,plain,
cyclic(skolemFOFtoCNF_D,X_2203,skolemFOFtoCNF_B_1,D),
inference(subst,[],[refute_0_387:[bind(E,$fot(D)),bind(X_2034,$fot(X_2203)),bind(X_2035,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_446,plain,
cyclic(X_2203,skolemFOFtoCNF_B_1,D,X_2204),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_D,X_2203,skolemFOFtoCNF_B_1,D) )],[refute_0_445,refute_0_444]) ).
cnf(refute_0_447,plain,
cyclic(X_2220,skolemFOFtoCNF_B_1,X_2219,D),
inference(subst,[],[refute_0_446:[bind(D,$fot(X_2219)),bind(X_2203,$fot(X_2220)),bind(X_2204,$fot(D))]]) ).
cnf(refute_0_448,plain,
cyclic(skolemFOFtoCNF_B_1,X_2219,D,X_2220),
inference(resolve,[$cnf( cyclic(X_2220,skolemFOFtoCNF_B_1,X_2219,D) )],[refute_0_447,refute_0_441]) ).
cnf(refute_0_449,plain,
cyclic(skolemFOFtoCNF_B_1,X_2372,X_2371,D),
inference(subst,[],[refute_0_448:[bind(D,$fot(X_2371)),bind(X_2219,$fot(X_2372)),bind(X_2220,$fot(D))]]) ).
cnf(refute_0_450,plain,
cyclic(X_2372,X_2371,D,X_2373),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_2372,X_2371,D) )],[refute_0_449,refute_0_431]) ).
cnf(refute_0_451,plain,
cyclic(X_2469,X_2469,X_2467,D),
inference(subst,[],[refute_0_450:[bind(D,$fot(X_2467)),bind(X_2371,$fot(X_2469)),bind(X_2372,$fot(X_2469)),bind(X_2373,$fot(D))]]) ).
cnf(refute_0_452,plain,
cyclic(X_2469,X_2467,D,X_2468),
inference(resolve,[$cnf( cyclic(X_2469,X_2469,X_2467,D) )],[refute_0_451,refute_0_428]) ).
cnf(refute_0_453,plain,
cyclic(X_2520,X_2519,X_2518,D),
inference(subst,[],[refute_0_452:[bind(D,$fot(X_2518)),bind(X_2467,$fot(X_2519)),bind(X_2468,$fot(D)),bind(X_2469,$fot(X_2520))]]) ).
cnf(refute_0_454,plain,
cyclic(X_2519,X_2518,D,X_2520),
inference(resolve,[$cnf( cyclic(X_2520,X_2519,X_2518,D) )],[refute_0_453,refute_0_418]) ).
cnf(refute_0_455,plain,
cyclic(X_2523,X_2522,X_2523,D),
inference(subst,[],[refute_0_454:[bind(D,$fot(X_2523)),bind(X_2518,$fot(X_2522)),bind(X_2519,$fot(X_2523)),bind(X_2520,$fot(D))]]) ).
cnf(refute_0_456,plain,
cyclic(X_2522,X_2523,D,X_2521),
inference(resolve,[$cnf( cyclic(X_2523,X_2522,X_2523,D) )],[refute_0_455,refute_0_411]) ).
cnf(refute_0_457,plain,
cyclic(skolemFOFtoCNF_D,X_2579,X_2578,D),
inference(subst,[],[refute_0_456:[bind(D,$fot(X_2578)),bind(X_2521,$fot(D)),bind(X_2522,$fot(skolemFOFtoCNF_D)),bind(X_2523,$fot(X_2579))]]) ).
cnf(refute_0_458,plain,
cyclic(X_2579,X_2578,D,X_2580),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_D,X_2579,X_2578,D) )],[refute_0_457,refute_0_399]) ).
cnf(refute_0_459,plain,
cyclic(A,B,C,P),
inference(subst,[],[refute_0_458:[bind(D,$fot(C)),bind(X_2578,$fot(B)),bind(X_2579,$fot(A)),bind(X_2580,$fot(P))]]) ).
cnf(refute_0_460,plain,
( ~ cyclic(A,B,C,Q)
| ~ cyclic(A,B,C,R)
| ~ eqangle(C,A,C,B,R,P,R,Q)
| cong(A,B,P,Q) ),
inference(resolve,[$cnf( cyclic(A,B,C,P) )],[refute_0_459,refute_0_323]) ).
cnf(refute_0_461,plain,
cyclic(A,B,C,Q),
inference(subst,[],[refute_0_458:[bind(D,$fot(C)),bind(X_2578,$fot(B)),bind(X_2579,$fot(A)),bind(X_2580,$fot(Q))]]) ).
cnf(refute_0_462,plain,
( ~ cyclic(A,B,C,R)
| ~ eqangle(C,A,C,B,R,P,R,Q)
| cong(A,B,P,Q) ),
inference(resolve,[$cnf( cyclic(A,B,C,Q) )],[refute_0_461,refute_0_460]) ).
cnf(refute_0_463,plain,
cyclic(A,B,C,R),
inference(subst,[],[refute_0_458:[bind(D,$fot(C)),bind(X_2578,$fot(B)),bind(X_2579,$fot(A)),bind(X_2580,$fot(R))]]) ).
cnf(refute_0_464,plain,
( ~ eqangle(C,A,C,B,R,P,R,Q)
| cong(A,B,P,Q) ),
inference(resolve,[$cnf( cyclic(A,B,C,R) )],[refute_0_463,refute_0_462]) ).
cnf(refute_0_465,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D)
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D) ),
inference(subst,[],[refute_0_464:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_D)),bind(R,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_466,plain,
cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_D) )],[refute_0_322,refute_0_465]) ).
cnf(refute_0_467,plain,
cong(skolemFOFtoCNF_A,X_9428,skolemFOFtoCNF_B_1,X_9428),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_D) )],[refute_0_466,refute_0_225]) ).
cnf(refute_0_468,plain,
cong(skolemFOFtoCNF_A,X_12078,skolemFOFtoCNF_B_1,X_12078),
inference(subst,[],[refute_0_467:[bind(X_9428,$fot(X_12078))]]) ).
cnf(refute_0_469,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_12078,X_12078),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_A,X_12078,skolemFOFtoCNF_B_1,X_12078) )],[refute_0_468,refute_0_6]) ).
cnf(refute_0_470,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_12290,X_12290),
inference(subst,[],[refute_0_469:[bind(X_12078,$fot(X_12290))]]) ).
cnf(refute_0_471,plain,
( ~ perp(X_12290,X_12290,E,F)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,E,F) ),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_12290,X_12290) )],[refute_0_470,refute_0_4]) ).
cnf(refute_0_472,plain,
( ~ cong(X_12162,P,X_12162,P)
| ~ cong(X_12162,X_12163,X_12162,X_12163)
| perp(X_12162,X_12162,P,X_12163) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_12162)),bind(B,$fot(X_12162)),bind(Q,$fot(X_12163))]]) ).
cnf(refute_0_473,plain,
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[normalize_0_68]) ).
cnf(refute_0_474,plain,
( ~ cyclic(X_2151,X_2150,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| eqangle(skolemFOFtoCNF_B_1,X_2151,skolemFOFtoCNF_B_1,X_2150,skolemFOFtoCNF_B_1,X_2151,skolemFOFtoCNF_B_1,X_2150) ),
inference(subst,[],[refute_0_473:[bind(A,$fot(X_2151)),bind(B,$fot(X_2150)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_475,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_2035,X_2034,skolemFOFtoCNF_B_1)
| cyclic(X_2035,X_2034,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_248:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_2035)),bind(C,$fot(X_2034)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_476,plain,
cyclic(X_2035,X_2034,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_2035,X_2034,skolemFOFtoCNF_B_1) )],[refute_0_365,refute_0_475]) ).
cnf(refute_0_477,plain,
cyclic(X_2151,X_2150,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_476:[bind(X_2034,$fot(X_2150)),bind(X_2035,$fot(X_2151))]]) ).
cnf(refute_0_478,plain,
eqangle(skolemFOFtoCNF_B_1,X_2151,skolemFOFtoCNF_B_1,X_2150,skolemFOFtoCNF_B_1,X_2151,skolemFOFtoCNF_B_1,X_2150),
inference(resolve,[$cnf( cyclic(X_2151,X_2150,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_477,refute_0_474]) ).
cnf(refute_0_479,plain,
eqangle(skolemFOFtoCNF_B_1,X_12022,skolemFOFtoCNF_B_1,X_12023,skolemFOFtoCNF_B_1,X_12022,skolemFOFtoCNF_B_1,X_12023),
inference(subst,[],[refute_0_478:[bind(X_2150,$fot(X_12023)),bind(X_2151,$fot(X_12022))]]) ).
cnf(refute_0_480,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,X_12022,skolemFOFtoCNF_B_1,X_12023,skolemFOFtoCNF_B_1,X_12022,skolemFOFtoCNF_B_1,X_12023)
| cong(X_12022,X_12023,X_12022,X_12023) ),
inference(subst,[],[refute_0_464:[bind(A,$fot(X_12022)),bind(B,$fot(X_12023)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(X_12022)),bind(Q,$fot(X_12023)),bind(R,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_481,plain,
cong(X_12022,X_12023,X_12022,X_12023),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,X_12022,skolemFOFtoCNF_B_1,X_12023,skolemFOFtoCNF_B_1,X_12022,skolemFOFtoCNF_B_1,X_12023) )],[refute_0_479,refute_0_480]) ).
cnf(refute_0_482,plain,
cong(X_12162,X_12163,X_12162,X_12163),
inference(subst,[],[refute_0_481:[bind(X_12022,$fot(X_12162)),bind(X_12023,$fot(X_12163))]]) ).
cnf(refute_0_483,plain,
( ~ cong(X_12162,P,X_12162,P)
| perp(X_12162,X_12162,P,X_12163) ),
inference(resolve,[$cnf( cong(X_12162,X_12163,X_12162,X_12163) )],[refute_0_482,refute_0_472]) ).
cnf(refute_0_484,plain,
( ~ cong(X_11415,X_11416,X_11415,X_11416)
| ~ eqratio(X_11417,X_11415,X_11417,X_11416,X_11415,X_11416,X_11415,X_11416)
| cong(X_11417,X_11415,X_11417,X_11416) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(X_11417)),bind(B,$fot(X_11415)),bind(C,$fot(X_11417)),bind(D,$fot(X_11416)),bind(P,$fot(X_11415)),bind(Q,$fot(X_11416)),bind(U,$fot(X_11415)),bind(V,$fot(X_11416))]]) ).
cnf(refute_0_485,plain,
( ~ eqratio(X_11046,X_11045,X_11046,X_11044,X_11044,X_11045,X_11044,X_11045)
| eqratio(X_11046,X_11044,X_11046,X_11045,X_11044,X_11045,X_11044,X_11045) ),
inference(subst,[],[refute_0_14:[bind(A,$fot(X_11046)),bind(B,$fot(X_11045)),bind(C,$fot(X_11046)),bind(D,$fot(X_11044)),bind(P,$fot(X_11044)),bind(Q,$fot(X_11045)),bind(U,$fot(X_11044)),bind(V,$fot(X_11045))]]) ).
cnf(refute_0_486,plain,
( ~ eqratio(X_10512,X_10513,X_10512,X_10513,X_10514,X_10513,X_10514,X_10512)
| eqratio(X_10514,X_10513,X_10514,X_10512,X_10512,X_10513,X_10512,X_10513) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_10512)),bind(B,$fot(X_10513)),bind(C,$fot(X_10512)),bind(D,$fot(X_10513)),bind(P,$fot(X_10514)),bind(Q,$fot(X_10513)),bind(U,$fot(X_10514)),bind(V,$fot(X_10512))]]) ).
cnf(refute_0_487,plain,
( ~ eqratio(X_10277,X_10276,X_10276,X_10277,X_10278,X_10277,X_10278,X_10276)
| eqratio(X_10276,X_10277,X_10276,X_10277,X_10278,X_10277,X_10278,X_10276) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_10277)),bind(B,$fot(X_10276)),bind(C,$fot(X_10276)),bind(D,$fot(X_10277)),bind(P,$fot(X_10278)),bind(Q,$fot(X_10277)),bind(U,$fot(X_10278)),bind(V,$fot(X_10276))]]) ).
cnf(refute_0_488,plain,
( ~ eqratio(X_9954,X_9953,X_9954,X_9952,X_9953,X_9952,X_9952,X_9953)
| eqratio(X_9953,X_9952,X_9952,X_9953,X_9954,X_9953,X_9954,X_9952) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_9954)),bind(B,$fot(X_9953)),bind(C,$fot(X_9954)),bind(D,$fot(X_9952)),bind(P,$fot(X_9953)),bind(Q,$fot(X_9952)),bind(U,$fot(X_9952)),bind(V,$fot(X_9953))]]) ).
cnf(refute_0_489,plain,
( ~ eqratio(X_9720,X_9719,X_9719,X_9718,X_9720,X_9718,X_9718,X_9719)
| eqratio(X_9720,X_9719,X_9720,X_9718,X_9719,X_9718,X_9718,X_9719) ),
inference(subst,[],[refute_0_18:[bind(A,$fot(X_9720)),bind(B,$fot(X_9719)),bind(C,$fot(X_9719)),bind(D,$fot(X_9718)),bind(P,$fot(X_9720)),bind(Q,$fot(X_9718)),bind(U,$fot(X_9718)),bind(V,$fot(X_9719))]]) ).
cnf(refute_0_490,plain,
( ~ para(X_1822,X_1823,X_1822,X_1823)
| para(X_1822,X_1823,X_1823,X_1822) ),
inference(subst,[],[refute_0_20:[bind(A,$fot(X_1822)),bind(B,$fot(X_1823)),bind(C,$fot(X_1822)),bind(D,$fot(X_1823))]]) ).
cnf(refute_0_491,plain,
para(X_1822,X_1823,X_1823,X_1822),
inference(resolve,[$cnf( para(X_1822,X_1823,X_1822,X_1823) )],[refute_0_107,refute_0_490]) ).
cnf(refute_0_492,plain,
para(X_8075,X_8074,X_8074,X_8075),
inference(subst,[],[refute_0_491:[bind(X_1822,$fot(X_8075)),bind(X_1823,$fot(X_8074))]]) ).
cnf(refute_0_493,plain,
( ~ para(X_8075,X_8074,X_8074,X_8075)
| eqratio(X_8076,X_8075,X_8075,X_8074,X_8076,X_8074,X_8074,X_8075) ),
inference(subst,[],[refute_0_207:[bind(A,$fot(X_8075)),bind(B,$fot(X_8074)),bind(C,$fot(X_8074)),bind(D,$fot(X_8075)),bind(O,$fot(X_8076))]]) ).
cnf(refute_0_494,plain,
eqratio(X_8076,X_8075,X_8075,X_8074,X_8076,X_8074,X_8074,X_8075),
inference(resolve,[$cnf( para(X_8075,X_8074,X_8074,X_8075) )],[refute_0_492,refute_0_493]) ).
cnf(refute_0_495,plain,
eqratio(X_9720,X_9719,X_9719,X_9718,X_9720,X_9718,X_9718,X_9719),
inference(subst,[],[refute_0_494:[bind(X_8074,$fot(X_9718)),bind(X_8075,$fot(X_9719)),bind(X_8076,$fot(X_9720))]]) ).
cnf(refute_0_496,plain,
eqratio(X_9720,X_9719,X_9720,X_9718,X_9719,X_9718,X_9718,X_9719),
inference(resolve,[$cnf( eqratio(X_9720,X_9719,X_9719,X_9718,X_9720,X_9718,X_9718,X_9719) )],[refute_0_495,refute_0_489]) ).
cnf(refute_0_497,plain,
eqratio(X_9954,X_9953,X_9954,X_9952,X_9953,X_9952,X_9952,X_9953),
inference(subst,[],[refute_0_496:[bind(X_9718,$fot(X_9952)),bind(X_9719,$fot(X_9953)),bind(X_9720,$fot(X_9954))]]) ).
cnf(refute_0_498,plain,
eqratio(X_9953,X_9952,X_9952,X_9953,X_9954,X_9953,X_9954,X_9952),
inference(resolve,[$cnf( eqratio(X_9954,X_9953,X_9954,X_9952,X_9953,X_9952,X_9952,X_9953) )],[refute_0_497,refute_0_488]) ).
cnf(refute_0_499,plain,
eqratio(X_10277,X_10276,X_10276,X_10277,X_10278,X_10277,X_10278,X_10276),
inference(subst,[],[refute_0_498:[bind(X_9952,$fot(X_10276)),bind(X_9953,$fot(X_10277)),bind(X_9954,$fot(X_10278))]]) ).
cnf(refute_0_500,plain,
eqratio(X_10276,X_10277,X_10276,X_10277,X_10278,X_10277,X_10278,X_10276),
inference(resolve,[$cnf( eqratio(X_10277,X_10276,X_10276,X_10277,X_10278,X_10277,X_10278,X_10276) )],[refute_0_499,refute_0_487]) ).
cnf(refute_0_501,plain,
eqratio(X_10512,X_10513,X_10512,X_10513,X_10514,X_10513,X_10514,X_10512),
inference(subst,[],[refute_0_500:[bind(X_10276,$fot(X_10512)),bind(X_10277,$fot(X_10513)),bind(X_10278,$fot(X_10514))]]) ).
cnf(refute_0_502,plain,
eqratio(X_10514,X_10513,X_10514,X_10512,X_10512,X_10513,X_10512,X_10513),
inference(resolve,[$cnf( eqratio(X_10512,X_10513,X_10512,X_10513,X_10514,X_10513,X_10514,X_10512) )],[refute_0_501,refute_0_486]) ).
cnf(refute_0_503,plain,
eqratio(X_11046,X_11045,X_11046,X_11044,X_11044,X_11045,X_11044,X_11045),
inference(subst,[],[refute_0_502:[bind(X_10512,$fot(X_11044)),bind(X_10513,$fot(X_11045)),bind(X_10514,$fot(X_11046))]]) ).
cnf(refute_0_504,plain,
eqratio(X_11046,X_11044,X_11046,X_11045,X_11044,X_11045,X_11044,X_11045),
inference(resolve,[$cnf( eqratio(X_11046,X_11045,X_11046,X_11044,X_11044,X_11045,X_11044,X_11045) )],[refute_0_503,refute_0_485]) ).
cnf(refute_0_505,plain,
eqratio(X_11417,X_11415,X_11417,X_11416,X_11415,X_11416,X_11415,X_11416),
inference(subst,[],[refute_0_504:[bind(X_11044,$fot(X_11415)),bind(X_11045,$fot(X_11416)),bind(X_11046,$fot(X_11417))]]) ).
cnf(refute_0_506,plain,
( ~ cong(X_11415,X_11416,X_11415,X_11416)
| cong(X_11417,X_11415,X_11417,X_11416) ),
inference(resolve,[$cnf( eqratio(X_11417,X_11415,X_11417,X_11416,X_11415,X_11416,X_11415,X_11416) )],[refute_0_505,refute_0_484]) ).
cnf(refute_0_507,plain,
( ~ cong(X_12162,X_12163,X_12162,X_12163)
| cong(X_11417,X_12162,X_11417,X_12163) ),
inference(subst,[],[refute_0_506:[bind(X_11415,$fot(X_12162)),bind(X_11416,$fot(X_12163))]]) ).
cnf(refute_0_508,plain,
cong(X_11417,X_12162,X_11417,X_12163),
inference(resolve,[$cnf( cong(X_12162,X_12163,X_12162,X_12163) )],[refute_0_482,refute_0_507]) ).
cnf(refute_0_509,plain,
cong(X_12162,P,X_12162,P),
inference(subst,[],[refute_0_508:[bind(X_11417,$fot(X_12162)),bind(X_12162,$fot(P)),bind(X_12163,$fot(P))]]) ).
cnf(refute_0_510,plain,
perp(X_12162,X_12162,P,X_12163),
inference(resolve,[$cnf( cong(X_12162,P,X_12162,P) )],[refute_0_509,refute_0_483]) ).
cnf(refute_0_511,plain,
perp(X_12290,X_12290,E,F),
inference(subst,[],[refute_0_510:[bind(P,$fot(E)),bind(X_12162,$fot(X_12290)),bind(X_12163,$fot(F))]]) ).
cnf(refute_0_512,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,E,F),
inference(resolve,[$cnf( perp(X_12290,X_12290,E,F) )],[refute_0_511,refute_0_471]) ).
cnf(refute_0_513,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_14482,X_14483),
inference(subst,[],[refute_0_512:[bind(E,$fot(X_14482)),bind(F,$fot(X_14483))]]) ).
cnf(refute_0_514,plain,
para(X_14482,X_14483,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_14482,X_14483) )],[refute_0_513,refute_0_2]) ).
cnf(refute_0_515,plain,
para(skolemFOFtoCNF_G,skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_514:[bind(X_14482,$fot(skolemFOFtoCNF_G)),bind(X_14483,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_516,plain,
$false,
inference(resolve,[$cnf( para(skolemFOFtoCNF_G,skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_515,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO653+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n012.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 : Fri Jun 17 19:35:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 50.38/50.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 50.38/50.58
% 50.38/50.58 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 50.47/50.63
%------------------------------------------------------------------------------