TSTP Solution File: GEO578+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO578+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 05:27:27 EDT 2022
% Result : Theorem 11.30s 11.48s
% Output : CNFRefutation 11.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 67
% Number of leaves : 25
% Syntax : Number of formulae : 496 ( 220 unt; 0 def)
% Number of atoms : 885 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 722 ( 333 ~; 328 |; 34 &)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 1132 ( 246 sgn 420 !; 5 ?)
% 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(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(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(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(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(ruleD73,axiom,
! [A,B,C,D,P,Q,U,V] :
( ( eqangle(A,B,C,D,P,Q,U,V)
& para(P,Q,U,V) )
=> para(A,B,C,D) ) ).
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(exemplo6GDDFULL214040,conjecture,
! [A,B,C,I,E] :
( ( eqangle(I,A,A,B,I,A,A,C)
& eqangle(I,B,B,C,I,B,B,A)
& eqangle(I,C,C,A,I,C,C,B)
& para(A,B,E,I)
& coll(E,A,C) )
=> cong(E,I,E,A) ) ).
fof(subgoal_0,plain,
! [A,B,C,I,E] :
( ( eqangle(I,A,A,B,I,A,A,C)
& eqangle(I,B,B,C,I,B,B,A)
& eqangle(I,C,C,A,I,C,C,B)
& para(A,B,E,I)
& coll(E,A,C) )
=> cong(E,I,E,A) ),
inference(strip,[],[exemplo6GDDFULL214040]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,I,E] :
( ( eqangle(I,A,A,B,I,A,A,C)
& eqangle(I,B,B,C,I,B,B,A)
& eqangle(I,C,C,A,I,C,C,B)
& para(A,B,E,I)
& coll(E,A,C) )
=> cong(E,I,E,A) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,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_1,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_0]) ).
fof(normalize_0_2,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_3,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_2]) ).
fof(normalize_0_4,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| para(A,B,D,C) ),
inference(canonicalize,[],[ruleD4]) ).
fof(normalize_0_5,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| para(A,B,D,C) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,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_7,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_6]) ).
fof(normalize_0_8,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_7]) ).
fof(normalize_0_9,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_10,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_9]) ).
fof(normalize_0_11,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_12,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_11]) ).
fof(normalize_0_13,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_12]) ).
fof(normalize_0_14,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| para(C,D,A,B) ),
inference(canonicalize,[],[ruleD5]) ).
fof(normalize_0_15,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| para(C,D,A,B) ),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
? [A,B,C,E,I] :
( ~ cong(E,I,E,A)
& coll(E,A,C)
& eqangle(I,A,A,B,I,A,A,C)
& eqangle(I,B,B,C,I,B,B,A)
& eqangle(I,C,C,A,I,C,C,B)
& para(A,B,E,I) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_17,plain,
( ~ cong(skolemFOFtoCNF_E,skolemFOFtoCNF_I,skolemFOFtoCNF_E,skolemFOFtoCNF_A)
& coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
& eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
& para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_I) ),
inference(skolemize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_19,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_20,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_19]) ).
fof(normalize_0_21,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_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(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_24,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_26,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[ruleD1]) ).
fof(normalize_0_27,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_29,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(specialize,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD66]) ).
fof(normalize_0_31,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_33,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_34,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_33]) ).
fof(normalize_0_35,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_36,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_35]) ).
fof(normalize_0_37,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_I),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_38,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_39,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_38]) ).
fof(normalize_0_40,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[ruleD16]) ).
fof(normalize_0_41,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(specialize,[],[normalize_0_40]) ).
fof(normalize_0_42,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[ruleD15]) ).
fof(normalize_0_43,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(specialize,[],[normalize_0_42]) ).
fof(normalize_0_44,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_45,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_44]) ).
fof(normalize_0_46,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[ruleD14]) ).
fof(normalize_0_47,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(specialize,[],[normalize_0_46]) ).
fof(normalize_0_48,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_49,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_48]) ).
fof(normalize_0_50,plain,
eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_51,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| ~ para(P,Q,U,V)
| para(A,B,C,D) ),
inference(canonicalize,[],[ruleD73]) ).
fof(normalize_0_52,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| ~ para(P,Q,U,V)
| para(A,B,C,D) ),
inference(specialize,[],[normalize_0_51]) ).
fof(normalize_0_53,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_54,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_53]) ).
fof(normalize_0_55,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_56,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_55]) ).
fof(normalize_0_57,plain,
~ cong(skolemFOFtoCNF_E,skolemFOFtoCNF_I,skolemFOFtoCNF_E,skolemFOFtoCNF_A),
inference(conjunct,[],[normalize_0_17]) ).
cnf(refute_0_0,plain,
( ~ cong(P,Q,U,V)
| ~ eqratio(A,B,C,D,P,Q,U,V)
| cong(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( ~ cong(X_22988,X_22986,X_22986,X_22987)
| ~ eqratio(X_22987,X_22988,X_22987,X_22986,X_22988,X_22986,X_22986,X_22987)
| cong(X_22987,X_22988,X_22987,X_22986) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(X_22987)),bind(B,$fot(X_22988)),bind(C,$fot(X_22987)),bind(D,$fot(X_22986)),bind(P,$fot(X_22988)),bind(Q,$fot(X_22986)),bind(U,$fot(X_22986)),bind(V,$fot(X_22987))]]) ).
cnf(refute_0_2,plain,
( ~ eqratio(A,B,C,D,P,Q,U,V)
| eqratio(B,A,C,D,P,Q,U,V) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_3,plain,
( ~ eqratio(X_21781,X_21780,X_21780,X_21779,X_21781,X_21779,X_21779,X_21780)
| eqratio(X_21780,X_21781,X_21780,X_21779,X_21781,X_21779,X_21779,X_21780) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_21781)),bind(B,$fot(X_21780)),bind(C,$fot(X_21780)),bind(D,$fot(X_21779)),bind(P,$fot(X_21781)),bind(Q,$fot(X_21779)),bind(U,$fot(X_21779)),bind(V,$fot(X_21780))]]) ).
cnf(refute_0_4,plain,
( ~ para(A,B,C,D)
| para(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_5,plain,
( ~ para(X_1079,X_1080,X_1079,X_1080)
| para(X_1079,X_1080,X_1080,X_1079) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_1079)),bind(B,$fot(X_1080)),bind(C,$fot(X_1079)),bind(D,$fot(X_1080))]]) ).
cnf(refute_0_6,plain,
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_7,plain,
( ~ eqangle(X_1063,X_1064,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1063,X_1064,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| para(X_1063,X_1064,X_1063,X_1064) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_1063)),bind(B,$fot(X_1064)),bind(C,$fot(X_1063)),bind(D,$fot(X_1064)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_8,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_9,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1051,X_1052,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1051,X_1052)
| eqangle(X_1051,X_1052,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1051,X_1052,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_8:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(X_1051)),bind(D,$fot(X_1052)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_C_1)),bind(U,$fot(X_1051)),bind(V,$fot(X_1052))]]) ).
cnf(refute_0_10,plain,
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_11,plain,
( ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,P,Q,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,P,Q) ),
inference(subst,[],[refute_0_10:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_12,plain,
( ~ para(A,B,C,D)
| para(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_13,plain,
( ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_14,plain,
( ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_15,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_6:[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,$fot(skolemFOFtoCNF_I)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_16,plain,
eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_17,plain,
( ~ eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_8:[bind(A,$fot(skolemFOFtoCNF_I)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(P,$fot(skolemFOFtoCNF_I)),bind(Q,$fot(skolemFOFtoCNF_B_1)),bind(U,$fot(skolemFOFtoCNF_B_1)),bind(V,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_18,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_B_1) )],[refute_0_18,refute_0_15]) ).
cnf(refute_0_20,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_19,refute_0_14]) ).
cnf(refute_0_21,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_20,refute_0_13]) ).
cnf(refute_0_22,plain,
( ~ para(A,B,C,D)
| ~ para(C,D,E,F)
| para(A,B,E,F) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_23,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_1029,X_1030)
| ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1029,X_1030) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(X_1029)),bind(F,$fot(X_1030))]]) ).
cnf(refute_0_24,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_1029,X_1030)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1029,X_1030) ),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_20,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_24:[bind(X_1029,$fot(skolemFOFtoCNF_B_1)),bind(X_1030,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_26,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_21,refute_0_25]) ).
cnf(refute_0_27,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,P,Q,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,P,Q),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_26,refute_0_11]) ).
cnf(refute_0_28,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1051,X_1052,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1051,X_1052),
inference(subst,[],[refute_0_27:[bind(P,$fot(X_1051)),bind(Q,$fot(X_1052))]]) ).
cnf(refute_0_29,plain,
eqangle(X_1051,X_1052,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1051,X_1052,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1051,X_1052,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1051,X_1052) )],[refute_0_28,refute_0_9]) ).
cnf(refute_0_30,plain,
eqangle(X_1063,X_1064,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1063,X_1064,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_29:[bind(X_1051,$fot(X_1063)),bind(X_1052,$fot(X_1064))]]) ).
cnf(refute_0_31,plain,
para(X_1063,X_1064,X_1063,X_1064),
inference(resolve,[$cnf( eqangle(X_1063,X_1064,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1063,X_1064,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_30,refute_0_7]) ).
cnf(refute_0_32,plain,
para(X_1079,X_1080,X_1079,X_1080),
inference(subst,[],[refute_0_31:[bind(X_1063,$fot(X_1079)),bind(X_1064,$fot(X_1080))]]) ).
cnf(refute_0_33,plain,
para(X_1079,X_1080,X_1080,X_1079),
inference(resolve,[$cnf( para(X_1079,X_1080,X_1079,X_1080) )],[refute_0_32,refute_0_5]) ).
cnf(refute_0_34,plain,
para(X_15747,X_15746,X_15746,X_15747),
inference(subst,[],[refute_0_33:[bind(X_1079,$fot(X_15747)),bind(X_1080,$fot(X_15746))]]) ).
cnf(refute_0_35,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_22]) ).
cnf(refute_0_36,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_37,plain,
( ~ coll(X_1169,skolemFOFtoCNF_A,C)
| ~ coll(X_1169,skolemFOFtoCNF_A,X_1170)
| coll(C,X_1170,X_1169) ),
inference(subst,[],[refute_0_36:[bind(A,$fot(X_1169)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_1170))]]) ).
cnf(refute_0_38,plain,
( ~ coll(X_1148,skolemFOFtoCNF_C_1,C)
| ~ coll(X_1148,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| coll(C,skolemFOFtoCNF_A,X_1148) ),
inference(subst,[],[refute_0_36:[bind(A,$fot(X_1148)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_39,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_40,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_41,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_40:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_42,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_39,refute_0_41]) ).
cnf(refute_0_43,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_44,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_43:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_45,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_42,refute_0_44]) ).
cnf(refute_0_46,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_36:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_47,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_E,skolemFOFtoCNF_A) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_772)
| ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| coll(X_772,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_36:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(X_772)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_49,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_772)
| coll(X_772,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1128)
| coll(X_1128,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_49:[bind(X_772,$fot(X_1128))]]) ).
cnf(refute_0_51,plain,
( ~ coll(X_1103,X_1104,X_1104)
| coll(X_1104,X_1104,X_1103) ),
inference(subst,[],[refute_0_36:[bind(A,$fot(X_1103)),bind(B,$fot(X_1104)),bind(C,$fot(X_1104)),bind(D,$fot(X_1104))]]) ).
cnf(refute_0_52,plain,
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_53,plain,
( ~ para(X_1079,X_1080,X_1079,X_1080)
| coll(X_1079,X_1080,X_1080) ),
inference(subst,[],[refute_0_52:[bind(A,$fot(X_1079)),bind(B,$fot(X_1080)),bind(C,$fot(X_1080))]]) ).
cnf(refute_0_54,plain,
coll(X_1079,X_1080,X_1080),
inference(resolve,[$cnf( para(X_1079,X_1080,X_1079,X_1080) )],[refute_0_32,refute_0_53]) ).
cnf(refute_0_55,plain,
coll(X_1103,X_1104,X_1104),
inference(subst,[],[refute_0_54:[bind(X_1079,$fot(X_1103)),bind(X_1080,$fot(X_1104))]]) ).
cnf(refute_0_56,plain,
coll(X_1104,X_1104,X_1103),
inference(resolve,[$cnf( coll(X_1103,X_1104,X_1104) )],[refute_0_55,refute_0_51]) ).
cnf(refute_0_57,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1128),
inference(subst,[],[refute_0_56:[bind(X_1103,$fot(X_1128)),bind(X_1104,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_58,plain,
coll(X_1128,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_1128) )],[refute_0_57,refute_0_50]) ).
cnf(refute_0_59,plain,
coll(X_1148,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_58:[bind(X_1128,$fot(X_1148))]]) ).
cnf(refute_0_60,plain,
( ~ coll(X_1148,skolemFOFtoCNF_C_1,C)
| coll(C,skolemFOFtoCNF_A,X_1148) ),
inference(resolve,[$cnf( coll(X_1148,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_59,refute_0_38]) ).
cnf(refute_0_61,plain,
( ~ coll(X_1129,X_1129,C)
| ~ coll(X_1129,X_1129,X_1128)
| coll(C,X_1128,X_1129) ),
inference(subst,[],[refute_0_36:[bind(A,$fot(X_1129)),bind(B,$fot(X_1129)),bind(D,$fot(X_1128))]]) ).
cnf(refute_0_62,plain,
coll(X_1129,X_1129,X_1128),
inference(subst,[],[refute_0_56:[bind(X_1103,$fot(X_1128)),bind(X_1104,$fot(X_1129))]]) ).
cnf(refute_0_63,plain,
( ~ coll(X_1129,X_1129,C)
| coll(C,X_1128,X_1129) ),
inference(resolve,[$cnf( coll(X_1129,X_1129,X_1128) )],[refute_0_62,refute_0_61]) ).
cnf(refute_0_64,plain,
( ~ coll(X_1106,X_1105,X_1106)
| coll(X_1106,X_1106,X_1105) ),
inference(subst,[],[refute_0_40:[bind(A,$fot(X_1106)),bind(B,$fot(X_1105)),bind(C,$fot(X_1106))]]) ).
cnf(refute_0_65,plain,
( ~ coll(X_1103,X_1104,X_1104)
| coll(X_1104,X_1103,X_1104) ),
inference(subst,[],[refute_0_43:[bind(A,$fot(X_1103)),bind(B,$fot(X_1104)),bind(C,$fot(X_1104))]]) ).
cnf(refute_0_66,plain,
coll(X_1104,X_1103,X_1104),
inference(resolve,[$cnf( coll(X_1103,X_1104,X_1104) )],[refute_0_55,refute_0_65]) ).
cnf(refute_0_67,plain,
coll(X_1106,X_1105,X_1106),
inference(subst,[],[refute_0_66:[bind(X_1103,$fot(X_1105)),bind(X_1104,$fot(X_1106))]]) ).
cnf(refute_0_68,plain,
coll(X_1106,X_1106,X_1105),
inference(resolve,[$cnf( coll(X_1106,X_1105,X_1106) )],[refute_0_67,refute_0_64]) ).
cnf(refute_0_69,plain,
coll(X_1129,X_1129,C),
inference(subst,[],[refute_0_68:[bind(X_1105,$fot(C)),bind(X_1106,$fot(X_1129))]]) ).
cnf(refute_0_70,plain,
coll(C,X_1128,X_1129),
inference(resolve,[$cnf( coll(X_1129,X_1129,C) )],[refute_0_69,refute_0_63]) ).
cnf(refute_0_71,plain,
coll(X_1148,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_70:[bind(C,$fot(X_1148)),bind(X_1128,$fot(skolemFOFtoCNF_C_1)),bind(X_1129,$fot(C))]]) ).
cnf(refute_0_72,plain,
coll(C,skolemFOFtoCNF_A,X_1148),
inference(resolve,[$cnf( coll(X_1148,skolemFOFtoCNF_C_1,C) )],[refute_0_71,refute_0_60]) ).
cnf(refute_0_73,plain,
coll(X_1169,skolemFOFtoCNF_A,X_1170),
inference(subst,[],[refute_0_72:[bind(C,$fot(X_1169)),bind(X_1148,$fot(X_1170))]]) ).
cnf(refute_0_74,plain,
( ~ coll(X_1169,skolemFOFtoCNF_A,C)
| coll(C,X_1170,X_1169) ),
inference(resolve,[$cnf( coll(X_1169,skolemFOFtoCNF_A,X_1170) )],[refute_0_73,refute_0_37]) ).
cnf(refute_0_75,plain,
( ~ coll(X_1165,skolemFOFtoCNF_B_1,C)
| ~ coll(X_1165,skolemFOFtoCNF_B_1,X_1166)
| coll(C,X_1166,X_1165) ),
inference(subst,[],[refute_0_36:[bind(A,$fot(X_1165)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_1166))]]) ).
cnf(refute_0_76,plain,
( ~ coll(X_1132,skolemFOFtoCNF_E,C)
| ~ coll(X_1132,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1)
| coll(C,skolemFOFtoCNF_B_1,X_1132) ),
inference(subst,[],[refute_0_36:[bind(A,$fot(X_1132)),bind(B,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_77,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,C)
| ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E)
| coll(C,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_36:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_78,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_36:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_79,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_40:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_80,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_43:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_81,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_40:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_82,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_43:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_83,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_39,refute_0_82]) ).
cnf(refute_0_84,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) )],[refute_0_83,refute_0_81]) ).
cnf(refute_0_85,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_40:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_86,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_52:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_87,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(P,$fot(skolemFOFtoCNF_I)),bind(Q,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_88,plain,
eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_89,plain,
( ~ eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_8:[bind(A,$fot(skolemFOFtoCNF_I)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(skolemFOFtoCNF_I)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(skolemFOFtoCNF_A)),bind(V,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_90,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_I,skolemFOFtoCNF_A) )],[refute_0_90,refute_0_87]) ).
cnf(refute_0_92,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_91,refute_0_86]) ).
cnf(refute_0_93,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_92,refute_0_85]) ).
cnf(refute_0_94,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,X_773)
| ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,X_773,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_36:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_773))]]) ).
cnf(refute_0_95,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,X_773)
| coll(skolemFOFtoCNF_B_1,X_773,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_95:[bind(X_773,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_97,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) )],[refute_0_84,refute_0_96]) ).
cnf(refute_0_98,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_A) )],[refute_0_97,refute_0_80]) ).
cnf(refute_0_99,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_98,refute_0_79]) ).
cnf(refute_0_100,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_99,refute_0_78]) ).
cnf(refute_0_101,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,C)
| coll(C,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E) )],[refute_0_100,refute_0_77]) ).
cnf(refute_0_102,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1128)
| coll(X_1128,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_101:[bind(C,$fot(X_1128))]]) ).
cnf(refute_0_103,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1128),
inference(subst,[],[refute_0_56:[bind(X_1103,$fot(X_1128)),bind(X_1104,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_104,plain,
coll(X_1128,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1128) )],[refute_0_103,refute_0_102]) ).
cnf(refute_0_105,plain,
coll(X_1132,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_104:[bind(X_1128,$fot(X_1132))]]) ).
cnf(refute_0_106,plain,
( ~ coll(X_1132,skolemFOFtoCNF_E,C)
| coll(C,skolemFOFtoCNF_B_1,X_1132) ),
inference(resolve,[$cnf( coll(X_1132,skolemFOFtoCNF_E,skolemFOFtoCNF_B_1) )],[refute_0_105,refute_0_76]) ).
cnf(refute_0_107,plain,
coll(X_1132,skolemFOFtoCNF_E,C),
inference(subst,[],[refute_0_70:[bind(C,$fot(X_1132)),bind(X_1128,$fot(skolemFOFtoCNF_E)),bind(X_1129,$fot(C))]]) ).
cnf(refute_0_108,plain,
coll(C,skolemFOFtoCNF_B_1,X_1132),
inference(resolve,[$cnf( coll(X_1132,skolemFOFtoCNF_E,C) )],[refute_0_107,refute_0_106]) ).
cnf(refute_0_109,plain,
coll(X_1165,skolemFOFtoCNF_B_1,X_1166),
inference(subst,[],[refute_0_108:[bind(C,$fot(X_1165)),bind(X_1132,$fot(X_1166))]]) ).
cnf(refute_0_110,plain,
( ~ coll(X_1165,skolemFOFtoCNF_B_1,C)
| coll(C,X_1166,X_1165) ),
inference(resolve,[$cnf( coll(X_1165,skolemFOFtoCNF_B_1,X_1166) )],[refute_0_109,refute_0_75]) ).
cnf(refute_0_111,plain,
coll(X_1165,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_70:[bind(C,$fot(X_1165)),bind(X_1128,$fot(skolemFOFtoCNF_B_1)),bind(X_1129,$fot(C))]]) ).
cnf(refute_0_112,plain,
coll(C,X_1166,X_1165),
inference(resolve,[$cnf( coll(X_1165,skolemFOFtoCNF_B_1,C) )],[refute_0_111,refute_0_110]) ).
cnf(refute_0_113,plain,
coll(X_1169,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_112:[bind(C,$fot(X_1169)),bind(X_1165,$fot(C)),bind(X_1166,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_114,plain,
coll(C,X_1170,X_1169),
inference(resolve,[$cnf( coll(X_1169,skolemFOFtoCNF_A,C) )],[refute_0_113,refute_0_74]) ).
cnf(refute_0_115,plain,
coll(O,A,C),
inference(subst,[],[refute_0_114:[bind(C,$fot(O)),bind(X_1169,$fot(C)),bind(X_1170,$fot(A))]]) ).
cnf(refute_0_116,plain,
( ~ coll(O,B,D)
| ~ para(A,B,C,D)
| eqratio(O,A,A,C,O,B,B,D) ),
inference(resolve,[$cnf( coll(O,A,C) )],[refute_0_115,refute_0_35]) ).
cnf(refute_0_117,plain,
coll(O,B,D),
inference(subst,[],[refute_0_114:[bind(C,$fot(O)),bind(X_1169,$fot(D)),bind(X_1170,$fot(B))]]) ).
cnf(refute_0_118,plain,
( ~ para(A,B,C,D)
| eqratio(O,A,A,C,O,B,B,D) ),
inference(resolve,[$cnf( coll(O,B,D) )],[refute_0_117,refute_0_116]) ).
cnf(refute_0_119,plain,
( ~ para(X_15747,X_15746,X_15746,X_15747)
| eqratio(X_15748,X_15747,X_15747,X_15746,X_15748,X_15746,X_15746,X_15747) ),
inference(subst,[],[refute_0_118:[bind(A,$fot(X_15747)),bind(B,$fot(X_15746)),bind(C,$fot(X_15746)),bind(D,$fot(X_15747)),bind(O,$fot(X_15748))]]) ).
cnf(refute_0_120,plain,
eqratio(X_15748,X_15747,X_15747,X_15746,X_15748,X_15746,X_15746,X_15747),
inference(resolve,[$cnf( para(X_15747,X_15746,X_15746,X_15747) )],[refute_0_34,refute_0_119]) ).
cnf(refute_0_121,plain,
eqratio(X_21781,X_21780,X_21780,X_21779,X_21781,X_21779,X_21779,X_21780),
inference(subst,[],[refute_0_120:[bind(X_15746,$fot(X_21779)),bind(X_15747,$fot(X_21780)),bind(X_15748,$fot(X_21781))]]) ).
cnf(refute_0_122,plain,
eqratio(X_21780,X_21781,X_21780,X_21779,X_21781,X_21779,X_21779,X_21780),
inference(resolve,[$cnf( eqratio(X_21781,X_21780,X_21780,X_21779,X_21781,X_21779,X_21779,X_21780) )],[refute_0_121,refute_0_3]) ).
cnf(refute_0_123,plain,
eqratio(X_22987,X_22988,X_22987,X_22986,X_22988,X_22986,X_22986,X_22987),
inference(subst,[],[refute_0_122:[bind(X_21779,$fot(X_22986)),bind(X_21780,$fot(X_22987)),bind(X_21781,$fot(X_22988))]]) ).
cnf(refute_0_124,plain,
( ~ cong(X_22988,X_22986,X_22986,X_22987)
| cong(X_22987,X_22988,X_22987,X_22986) ),
inference(resolve,[$cnf( eqratio(X_22987,X_22988,X_22987,X_22986,X_22988,X_22986,X_22986,X_22987) )],[refute_0_123,refute_0_1]) ).
cnf(refute_0_125,plain,
( ~ cong(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E)
| cong(skolemFOFtoCNF_E,skolemFOFtoCNF_I,skolemFOFtoCNF_E,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_124:[bind(X_22986,$fot(skolemFOFtoCNF_A)),bind(X_22987,$fot(skolemFOFtoCNF_E)),bind(X_22988,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_126,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(B,A,C,D,P,Q,U,V) ),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_127,plain,
( ~ eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(skolemFOFtoCNF_I)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(skolemFOFtoCNF_A)),bind(V,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_128,plain,
( ~ cyclic(A,B,C,D)
| ~ para(A,B,C,D)
| eqangle(A,D,C,D,C,D,C,B) ),
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_129,plain,
( ~ cyclic(skolemFOFtoCNF_I,skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| ~ para(skolemFOFtoCNF_I,skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_128:[bind(A,$fot(skolemFOFtoCNF_I)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_130,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_E)
| para(skolemFOFtoCNF_I,skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_I)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_131,plain,
( ~ para(A,B,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| ~ para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_E)
| para(A,B,skolemFOFtoCNF_I,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_22:[bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_A)),bind(E,$fot(skolemFOFtoCNF_I)),bind(F,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_132,plain,
( ~ para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_I)
| para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_133,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_I),
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_134,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_135,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_136,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_91,refute_0_135]) ).
cnf(refute_0_137,plain,
para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_136,refute_0_134]) ).
cnf(refute_0_138,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_1029,X_1030)
| ~ para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,X_1029,X_1030) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(X_1029)),bind(F,$fot(X_1030))]]) ).
cnf(refute_0_139,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_1029,X_1030)
| para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,X_1029,X_1030) ),
inference(resolve,[$cnf( para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_I)
| para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_I) ),
inference(subst,[],[refute_0_139:[bind(X_1029,$fot(skolemFOFtoCNF_E)),bind(X_1030,$fot(skolemFOFtoCNF_I))]]) ).
cnf(refute_0_141,plain,
para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_I),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_I) )],[refute_0_133,refute_0_140]) ).
cnf(refute_0_142,plain,
para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_E),
inference(resolve,[$cnf( para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_E,skolemFOFtoCNF_I) )],[refute_0_141,refute_0_132]) ).
cnf(refute_0_143,plain,
( ~ para(A,B,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| para(A,B,skolemFOFtoCNF_I,skolemFOFtoCNF_E) ),
inference(resolve,[$cnf( para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_E) )],[refute_0_142,refute_0_131]) ).
cnf(refute_0_144,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_143:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_145,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(P,Q,U,V,A,B,C,D) ),
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_146,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_145:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(skolemFOFtoCNF_C_1)),bind(V,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_147,plain,
( ~ eqangle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(skolemFOFtoCNF_C_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,$fot(skolemFOFtoCNF_A)),bind(U,$fot(skolemFOFtoCNF_C_1)),bind(V,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_148,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_8:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_C_1)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(skolemFOFtoCNF_A)),bind(V,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_149,plain,
( ~ eqangle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_126:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_C_1)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(skolemFOFtoCNF_A)),bind(V,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_150,plain,
( ~ eqangle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_8:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(skolemFOFtoCNF_C_1)),bind(V,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_151,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| eqangle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_145:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_C_1)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(skolemFOFtoCNF_C_1)),bind(V,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_152,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_128:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_153,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_136,refute_0_152]) ).
cnf(refute_0_154,plain,
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_155,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1112,skolemFOFtoCNF_C_1,X_1112)
| cyclic(X_1112,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1112) ),
inference(subst,[],[refute_0_154:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1112)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_1112))]]) ).
cnf(refute_0_156,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[normalize_0_43]) ).
cnf(refute_0_157,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1095,X_1095)
| cyclic(skolemFOFtoCNF_B_1,X_1095,skolemFOFtoCNF_C_1,X_1095) ),
inference(subst,[],[refute_0_156:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(X_1095)),bind(D,$fot(X_1095))]]) ).
cnf(refute_0_158,plain,
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[normalize_0_45]) ).
cnf(refute_0_159,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1086)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1086,X_1086) ),
inference(subst,[],[refute_0_158:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_1086)),bind(E,$fot(X_1086))]]) ).
cnf(refute_0_160,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_47]) ).
cnf(refute_0_161,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1078,skolemFOFtoCNF_C_1)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1078) ),
inference(subst,[],[refute_0_160:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_1078)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_162,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1073,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1073,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_156:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1073)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_163,plain,
( ~ cyclic(X_1071,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| cyclic(skolemFOFtoCNF_B_1,X_1071,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_154:[bind(A,$fot(X_1071)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_164,plain,
( ~ cyclic(X_1067,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| cyclic(X_1067,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_160:[bind(A,$fot(X_1067)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_165,plain,
( ~ cyclic(X_1065,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cyclic(X_1065,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_156:[bind(A,$fot(X_1065)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_166,plain,
( ~ coll(P,Q,B)
| ~ eqangle(P,A,P,B,Q,A,Q,B)
| cyclic(A,B,P,Q) ),
inference(canonicalize,[],[normalize_0_49]) ).
cnf(refute_0_167,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| ~ eqangle(skolemFOFtoCNF_B_1,X_1064,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_1064,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| cyclic(X_1064,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_166:[bind(A,$fot(X_1064)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_168,plain,
eqangle(skolemFOFtoCNF_B_1,X_1064,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_1064,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_29:[bind(X_1051,$fot(skolemFOFtoCNF_B_1)),bind(X_1052,$fot(X_1064))]]) ).
cnf(refute_0_169,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| cyclic(X_1064,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,X_1064,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_1064,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_168,refute_0_167]) ).
cnf(refute_0_170,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_36:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_171,plain,
( ~ para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_52:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_172,plain,
( ~ eqangle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1)
| para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(skolemFOFtoCNF_I)),bind(Q,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_173,plain,
eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_50]) ).
cnf(refute_0_174,plain,
( ~ eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| eqangle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_8:[bind(A,$fot(skolemFOFtoCNF_I)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_I)),bind(Q,$fot(skolemFOFtoCNF_C_1)),bind(U,$fot(skolemFOFtoCNF_C_1)),bind(V,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_175,plain,
eqangle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_I,skolemFOFtoCNF_C_1) )],[refute_0_175,refute_0_172]) ).
cnf(refute_0_177,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_176,refute_0_171]) ).
cnf(refute_0_178,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_177,refute_0_170]) ).
cnf(refute_0_179,plain,
cyclic(X_1064,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_178,refute_0_169]) ).
cnf(refute_0_180,plain,
cyclic(X_1065,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_179:[bind(X_1064,$fot(X_1065))]]) ).
cnf(refute_0_181,plain,
cyclic(X_1065,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(X_1065,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_180,refute_0_165]) ).
cnf(refute_0_182,plain,
cyclic(X_1067,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_181:[bind(X_1065,$fot(X_1067))]]) ).
cnf(refute_0_183,plain,
cyclic(X_1067,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cyclic(X_1067,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_182,refute_0_164]) ).
cnf(refute_0_184,plain,
cyclic(X_1071,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_183:[bind(X_1067,$fot(X_1071))]]) ).
cnf(refute_0_185,plain,
cyclic(skolemFOFtoCNF_B_1,X_1071,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cyclic(X_1071,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_184,refute_0_163]) ).
cnf(refute_0_186,plain,
cyclic(skolemFOFtoCNF_B_1,X_1073,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_185:[bind(X_1071,$fot(X_1073))]]) ).
cnf(refute_0_187,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1073,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1073,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_186,refute_0_162]) ).
cnf(refute_0_188,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1078,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_187:[bind(X_1073,$fot(X_1078))]]) ).
cnf(refute_0_189,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1078),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1078,skolemFOFtoCNF_C_1) )],[refute_0_188,refute_0_161]) ).
cnf(refute_0_190,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1086),
inference(subst,[],[refute_0_189:[bind(X_1078,$fot(X_1086))]]) ).
cnf(refute_0_191,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1086,X_1086),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1086) )],[refute_0_190,refute_0_159]) ).
cnf(refute_0_192,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1095,X_1095),
inference(subst,[],[refute_0_191:[bind(X_1086,$fot(X_1095))]]) ).
cnf(refute_0_193,plain,
cyclic(skolemFOFtoCNF_B_1,X_1095,skolemFOFtoCNF_C_1,X_1095),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1095,X_1095) )],[refute_0_192,refute_0_157]) ).
cnf(refute_0_194,plain,
cyclic(skolemFOFtoCNF_B_1,X_1112,skolemFOFtoCNF_C_1,X_1112),
inference(subst,[],[refute_0_193:[bind(X_1095,$fot(X_1112))]]) ).
cnf(refute_0_195,plain,
cyclic(X_1112,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1112),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1112,skolemFOFtoCNF_C_1,X_1112) )],[refute_0_194,refute_0_155]) ).
cnf(refute_0_196,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_195:[bind(X_1112,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_197,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_196,refute_0_153]) ).
cnf(refute_0_198,plain,
eqangle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_197,refute_0_151]) ).
cnf(refute_0_199,plain,
eqangle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_198,refute_0_150]) ).
cnf(refute_0_200,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_199,refute_0_149]) ).
cnf(refute_0_201,plain,
eqangle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_200,refute_0_148]) ).
cnf(refute_0_202,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_201,refute_0_147]) ).
cnf(refute_0_203,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_202,refute_0_146]) ).
cnf(refute_0_204,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| ~ para(P,Q,U,V)
| para(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_52]) ).
cnf(refute_0_205,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_204:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_C_1)),bind(U,$fot(skolemFOFtoCNF_B_1)),bind(V,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_206,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_203,refute_0_205]) ).
cnf(refute_0_207,plain,
( ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_208,plain,
( ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_209,plain,
( ~ para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_210,plain,
( ~ para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_211,plain,
para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_176,refute_0_210]) ).
cnf(refute_0_212,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_211,refute_0_209]) ).
cnf(refute_0_213,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_212,refute_0_208]) ).
cnf(refute_0_214,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_213,refute_0_207]) ).
cnf(refute_0_215,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_214,refute_0_206]) ).
cnf(refute_0_216,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_E),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_215,refute_0_144]) ).
cnf(refute_0_217,plain,
para(skolemFOFtoCNF_I,skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_E) )],[refute_0_216,refute_0_130]) ).
cnf(refute_0_218,plain,
( ~ cyclic(skolemFOFtoCNF_I,skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E) ),
inference(resolve,[$cnf( para(skolemFOFtoCNF_I,skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_217,refute_0_129]) ).
cnf(refute_0_219,plain,
( ~ cyclic(X_2013,X_2012,X_2011,D)
| ~ cyclic(X_2013,X_2012,X_2011,X_2013)
| cyclic(X_2012,X_2011,D,X_2013) ),
inference(subst,[],[refute_0_158:[bind(A,$fot(X_2013)),bind(B,$fot(X_2012)),bind(C,$fot(X_2011)),bind(E,$fot(X_2013))]]) ).
cnf(refute_0_220,plain,
( ~ cyclic(X_1925,X_1926,X_1924,X_1926)
| cyclic(X_1926,X_1925,X_1924,X_1926) ),
inference(subst,[],[refute_0_154:[bind(A,$fot(X_1925)),bind(B,$fot(X_1926)),bind(C,$fot(X_1924)),bind(D,$fot(X_1926))]]) ).
cnf(refute_0_221,plain,
( ~ cyclic(skolemFOFtoCNF_A,X_1360,X_1361,D)
| ~ cyclic(skolemFOFtoCNF_A,X_1360,X_1361,X_1361)
| cyclic(X_1360,X_1361,D,X_1361) ),
inference(subst,[],[refute_0_158:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_1360)),bind(C,$fot(X_1361)),bind(E,$fot(X_1361))]]) ).
cnf(refute_0_222,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,X_1346,X_1347)
| cyclic(skolemFOFtoCNF_A,X_1346,X_1347,X_1347) ),
inference(subst,[],[refute_0_158:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(X_1346)),bind(D,$fot(X_1347)),bind(E,$fot(X_1347))]]) ).
cnf(refute_0_223,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,D)
| ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,X_1337)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,D,X_1337) ),
inference(subst,[],[refute_0_158:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(E,$fot(X_1337))]]) ).
cnf(refute_0_224,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_1336)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,X_1336) ),
inference(subst,[],[refute_0_156:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_1336))]]) ).
cnf(refute_0_225,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_1334,skolemFOFtoCNF_A)
| ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,X_1334,skolemFOFtoCNF_A,X_1334,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_1334) ),
inference(subst,[],[refute_0_166:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(X_1334))]]) ).
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_54]) ).
cnf(refute_0_227,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,X_1035,X_1036,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,X_1035,X_1036)
| eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,X_1035,X_1036,X_1035,X_1036) ),
inference(subst,[],[refute_0_226:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(X_1035)),bind(D,$fot(X_1036)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_A)),bind(U,$fot(X_1035)),bind(V,$fot(X_1036))]]) ).
cnf(refute_0_228,plain,
( ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,P,Q,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,P,Q) ),
inference(subst,[],[refute_0_10:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_229,plain,
( ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_230,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_231,plain,
( ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_232,plain,
( ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_233,plain,
( ~ para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_234,plain,
( ~ para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_235,plain,
para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_137,refute_0_234]) ).
cnf(refute_0_236,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( para(skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_235,refute_0_233]) ).
cnf(refute_0_237,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A) )],[refute_0_236,refute_0_232]) ).
cnf(refute_0_238,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_237,refute_0_231]) ).
cnf(refute_0_239,plain,
para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_238,refute_0_230]) ).
cnf(refute_0_240,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,X_1029,X_1030)
| ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,X_1029,X_1030) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(E,$fot(X_1029)),bind(F,$fot(X_1030))]]) ).
cnf(refute_0_241,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,X_1029,X_1030)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,X_1029,X_1030) ),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_237,refute_0_240]) ).
cnf(refute_0_242,plain,
( ~ para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_241:[bind(X_1029,$fot(skolemFOFtoCNF_A)),bind(X_1030,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_243,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( para(skolemFOFtoCNF_A,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_239,refute_0_242]) ).
cnf(refute_0_244,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_243,refute_0_229]) ).
cnf(refute_0_245,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,P,Q,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,P,Q),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_244,refute_0_228]) ).
cnf(refute_0_246,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,X_1035,X_1036,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,X_1035,X_1036),
inference(subst,[],[refute_0_245:[bind(P,$fot(X_1035)),bind(Q,$fot(X_1036))]]) ).
cnf(refute_0_247,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,X_1035,X_1036,X_1035,X_1036),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,X_1035,X_1036,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,X_1035,X_1036) )],[refute_0_246,refute_0_227]) ).
cnf(refute_0_248,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,X_1334,skolemFOFtoCNF_A,X_1334,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_247:[bind(X_1035,$fot(X_1334)),bind(X_1036,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_249,plain,
( ~ coll(skolemFOFtoCNF_B_1,X_1334,skolemFOFtoCNF_A)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_1334) ),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,X_1334,skolemFOFtoCNF_A,X_1334,skolemFOFtoCNF_A) )],[refute_0_248,refute_0_225]) ).
cnf(refute_0_250,plain,
coll(skolemFOFtoCNF_B_1,X_1334,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_114:[bind(C,$fot(skolemFOFtoCNF_B_1)),bind(X_1169,$fot(skolemFOFtoCNF_A)),bind(X_1170,$fot(X_1334))]]) ).
cnf(refute_0_251,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_1334),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,X_1334,skolemFOFtoCNF_A) )],[refute_0_250,refute_0_249]) ).
cnf(refute_0_252,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_1336),
inference(subst,[],[refute_0_251:[bind(X_1334,$fot(X_1336))]]) ).
cnf(refute_0_253,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,X_1336),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_1336) )],[refute_0_252,refute_0_224]) ).
cnf(refute_0_254,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,X_1337),
inference(subst,[],[refute_0_253:[bind(X_1336,$fot(X_1337))]]) ).
cnf(refute_0_255,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,D)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,D,X_1337) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,X_1337) )],[refute_0_254,refute_0_223]) ).
cnf(refute_0_256,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1210,X_1209,E)
| ~ cyclic(skolemFOFtoCNF_B_1,X_1210,X_1209,X_1210)
| cyclic(X_1210,X_1209,X_1210,E) ),
inference(subst,[],[refute_0_158:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1210)),bind(C,$fot(X_1209)),bind(D,$fot(X_1210))]]) ).
cnf(refute_0_257,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1082,D)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1082,X_1082)
| cyclic(skolemFOFtoCNF_B_1,X_1082,D,X_1082) ),
inference(subst,[],[refute_0_158:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_1082)),bind(E,$fot(X_1082))]]) ).
cnf(refute_0_258,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1075)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1075,X_1075) ),
inference(subst,[],[refute_0_158:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_1075)),bind(E,$fot(X_1075))]]) ).
cnf(refute_0_259,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_1069,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1069) ),
inference(subst,[],[refute_0_160:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_1069)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_260,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,X_1066,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_1066,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_156:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_1066)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_261,plain,
( ~ cyclic(X_1065,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_C_1,X_1065,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_154:[bind(A,$fot(X_1065)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_262,plain,
cyclic(skolemFOFtoCNF_C_1,X_1065,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(X_1065,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_180,refute_0_261]) ).
cnf(refute_0_263,plain,
cyclic(skolemFOFtoCNF_C_1,X_1066,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_262:[bind(X_1065,$fot(X_1066))]]) ).
cnf(refute_0_264,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_1066,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,X_1066,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_263,refute_0_260]) ).
cnf(refute_0_265,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_1069,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_264:[bind(X_1066,$fot(X_1069))]]) ).
cnf(refute_0_266,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1069),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_1069,skolemFOFtoCNF_B_1) )],[refute_0_265,refute_0_259]) ).
cnf(refute_0_267,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1075),
inference(subst,[],[refute_0_266:[bind(X_1069,$fot(X_1075))]]) ).
cnf(refute_0_268,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1075,X_1075),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1075) )],[refute_0_267,refute_0_258]) ).
cnf(refute_0_269,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1082,X_1082),
inference(subst,[],[refute_0_268:[bind(X_1075,$fot(X_1082))]]) ).
cnf(refute_0_270,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1082,D)
| cyclic(skolemFOFtoCNF_B_1,X_1082,D,X_1082) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1082,X_1082) )],[refute_0_269,refute_0_257]) ).
cnf(refute_0_271,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D)
| ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1075)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D,X_1075) ),
inference(subst,[],[refute_0_158:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(X_1075))]]) ).
cnf(refute_0_272,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D,X_1075) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1075) )],[refute_0_267,refute_0_271]) ).
cnf(refute_0_273,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D),
inference(subst,[],[refute_0_266:[bind(X_1069,$fot(D))]]) ).
cnf(refute_0_274,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D,X_1075),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D) )],[refute_0_273,refute_0_272]) ).
cnf(refute_0_275,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1082,D),
inference(subst,[],[refute_0_274:[bind(D,$fot(X_1082)),bind(X_1075,$fot(D))]]) ).
cnf(refute_0_276,plain,
cyclic(skolemFOFtoCNF_B_1,X_1082,D,X_1082),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1082,D) )],[refute_0_275,refute_0_270]) ).
cnf(refute_0_277,plain,
cyclic(skolemFOFtoCNF_B_1,X_1210,X_1209,X_1210),
inference(subst,[],[refute_0_276:[bind(D,$fot(X_1209)),bind(X_1082,$fot(X_1210))]]) ).
cnf(refute_0_278,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1210,X_1209,E)
| cyclic(X_1210,X_1209,X_1210,E) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1210,X_1209,X_1210) )],[refute_0_277,refute_0_256]) ).
cnf(refute_0_279,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_1207,D)
| ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_1207,X_1208)
| cyclic(skolemFOFtoCNF_B_1,X_1207,D,X_1208) ),
inference(subst,[],[refute_0_158:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_1207)),bind(E,$fot(X_1208))]]) ).
cnf(refute_0_280,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,D)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_1081)
| cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,D,X_1081) ),
inference(subst,[],[refute_0_158:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(X_1081))]]) ).
cnf(refute_0_281,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1074,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_1074) ),
inference(subst,[],[refute_0_160:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(X_1074)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_282,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_1069,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1069,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_154:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_1069)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_283,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1069,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_1069,skolemFOFtoCNF_B_1) )],[refute_0_265,refute_0_282]) ).
cnf(refute_0_284,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1074,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_283:[bind(X_1069,$fot(X_1074))]]) ).
cnf(refute_0_285,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_1074),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1074,skolemFOFtoCNF_B_1) )],[refute_0_284,refute_0_281]) ).
cnf(refute_0_286,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_1081),
inference(subst,[],[refute_0_285:[bind(X_1074,$fot(X_1081))]]) ).
cnf(refute_0_287,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,D)
| cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,D,X_1081) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_1081) )],[refute_0_286,refute_0_280]) ).
cnf(refute_0_288,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1076,E)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1076,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,X_1076,skolemFOFtoCNF_B_1,E) ),
inference(subst,[],[refute_0_158:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_1076)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_289,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1072,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1072,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_156:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1072)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_290,plain,
( ~ cyclic(X_1068,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,X_1068,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_154:[bind(A,$fot(X_1068)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_291,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,X_1066,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cyclic(X_1066,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_158:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_1066)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_292,plain,
cyclic(X_1066,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,X_1066,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_263,refute_0_291]) ).
cnf(refute_0_293,plain,
cyclic(X_1068,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_292:[bind(X_1066,$fot(X_1068))]]) ).
cnf(refute_0_294,plain,
cyclic(skolemFOFtoCNF_B_1,X_1068,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(X_1068,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_293,refute_0_290]) ).
cnf(refute_0_295,plain,
cyclic(skolemFOFtoCNF_B_1,X_1072,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_294:[bind(X_1068,$fot(X_1072))]]) ).
cnf(refute_0_296,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1072,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1072,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_295,refute_0_289]) ).
cnf(refute_0_297,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1076,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_296:[bind(X_1072,$fot(X_1076))]]) ).
cnf(refute_0_298,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1076,E)
| cyclic(skolemFOFtoCNF_B_1,X_1076,skolemFOFtoCNF_B_1,E) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1076,skolemFOFtoCNF_B_1) )],[refute_0_297,refute_0_288]) ).
cnf(refute_0_299,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1076,E),
inference(subst,[],[refute_0_274:[bind(D,$fot(X_1076)),bind(X_1075,$fot(E))]]) ).
cnf(refute_0_300,plain,
cyclic(skolemFOFtoCNF_B_1,X_1076,skolemFOFtoCNF_B_1,E),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1076,E) )],[refute_0_299,refute_0_298]) ).
cnf(refute_0_301,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,D),
inference(subst,[],[refute_0_300:[bind(E,$fot(D)),bind(X_1076,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_302,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,D,X_1081),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,D) )],[refute_0_301,refute_0_287]) ).
cnf(refute_0_303,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_1207,X_1208),
inference(subst,[],[refute_0_302:[bind(D,$fot(X_1207)),bind(X_1081,$fot(X_1208))]]) ).
cnf(refute_0_304,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_1207,D)
| cyclic(skolemFOFtoCNF_B_1,X_1207,D,X_1208) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_1207,X_1208) )],[refute_0_303,refute_0_279]) ).
cnf(refute_0_305,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1191,skolemFOFtoCNF_B_1,D)
| ~ cyclic(skolemFOFtoCNF_B_1,X_1191,skolemFOFtoCNF_B_1,X_1190)
| cyclic(X_1191,skolemFOFtoCNF_B_1,D,X_1190) ),
inference(subst,[],[refute_0_158:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1191)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(X_1190))]]) ).
cnf(refute_0_306,plain,
cyclic(skolemFOFtoCNF_B_1,X_1191,skolemFOFtoCNF_B_1,X_1190),
inference(subst,[],[refute_0_300:[bind(E,$fot(X_1190)),bind(X_1076,$fot(X_1191))]]) ).
cnf(refute_0_307,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1191,skolemFOFtoCNF_B_1,D)
| cyclic(X_1191,skolemFOFtoCNF_B_1,D,X_1190) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1191,skolemFOFtoCNF_B_1,X_1190) )],[refute_0_306,refute_0_305]) ).
cnf(refute_0_308,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1189,X_1188,E)
| ~ cyclic(skolemFOFtoCNF_B_1,X_1189,X_1188,skolemFOFtoCNF_B_1)
| cyclic(X_1189,X_1188,skolemFOFtoCNF_B_1,E) ),
inference(subst,[],[refute_0_158:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1189)),bind(C,$fot(X_1188)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_309,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1076,D)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1076,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,X_1076,D,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_158:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_1076)),bind(E,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_310,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1076,D)
| cyclic(skolemFOFtoCNF_B_1,X_1076,D,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1076,skolemFOFtoCNF_B_1) )],[refute_0_297,refute_0_309]) ).
cnf(refute_0_311,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1076,D),
inference(subst,[],[refute_0_274:[bind(D,$fot(X_1076)),bind(X_1075,$fot(D))]]) ).
cnf(refute_0_312,plain,
cyclic(skolemFOFtoCNF_B_1,X_1076,D,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1076,D) )],[refute_0_311,refute_0_310]) ).
cnf(refute_0_313,plain,
cyclic(skolemFOFtoCNF_B_1,X_1189,X_1188,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_312:[bind(D,$fot(X_1188)),bind(X_1076,$fot(X_1189))]]) ).
cnf(refute_0_314,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1189,X_1188,E)
| cyclic(X_1189,X_1188,skolemFOFtoCNF_B_1,E) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1189,X_1188,skolemFOFtoCNF_B_1) )],[refute_0_313,refute_0_308]) ).
cnf(refute_0_315,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1186,D)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1186,X_1187)
| cyclic(skolemFOFtoCNF_B_1,X_1186,D,X_1187) ),
inference(subst,[],[refute_0_158:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_1186)),bind(E,$fot(X_1187))]]) ).
cnf(refute_0_316,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1186,X_1187),
inference(subst,[],[refute_0_274:[bind(D,$fot(X_1186)),bind(X_1075,$fot(X_1187))]]) ).
cnf(refute_0_317,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1186,D)
| cyclic(skolemFOFtoCNF_B_1,X_1186,D,X_1187) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1186,X_1187) )],[refute_0_316,refute_0_315]) ).
cnf(refute_0_318,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1083)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D,X_1083) ),
inference(subst,[],[refute_0_158:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(X_1083))]]) ).
cnf(refute_0_319,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1076,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1076) ),
inference(subst,[],[refute_0_160:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_1076)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_320,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1076),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1076,skolemFOFtoCNF_B_1) )],[refute_0_297,refute_0_319]) ).
cnf(refute_0_321,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1083),
inference(subst,[],[refute_0_320:[bind(X_1076,$fot(X_1083))]]) ).
cnf(refute_0_322,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D,X_1083) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1083) )],[refute_0_321,refute_0_318]) ).
cnf(refute_0_323,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1082,E)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1082,X_1082)
| cyclic(skolemFOFtoCNF_B_1,X_1082,X_1082,E) ),
inference(subst,[],[refute_0_158:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_1082)),bind(D,$fot(X_1082))]]) ).
cnf(refute_0_324,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1082,E)
| cyclic(skolemFOFtoCNF_B_1,X_1082,X_1082,E) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1082,X_1082) )],[refute_0_269,refute_0_323]) ).
cnf(refute_0_325,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1082,E),
inference(subst,[],[refute_0_274:[bind(D,$fot(X_1082)),bind(X_1075,$fot(E))]]) ).
cnf(refute_0_326,plain,
cyclic(skolemFOFtoCNF_B_1,X_1082,X_1082,E),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1082,E) )],[refute_0_325,refute_0_324]) ).
cnf(refute_0_327,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D),
inference(subst,[],[refute_0_326:[bind(E,$fot(D)),bind(X_1082,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_328,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D,X_1083),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D) )],[refute_0_327,refute_0_322]) ).
cnf(refute_0_329,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1186,D),
inference(subst,[],[refute_0_328:[bind(D,$fot(X_1186)),bind(X_1083,$fot(D))]]) ).
cnf(refute_0_330,plain,
cyclic(skolemFOFtoCNF_B_1,X_1186,D,X_1187),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1186,D) )],[refute_0_329,refute_0_317]) ).
cnf(refute_0_331,plain,
cyclic(skolemFOFtoCNF_B_1,X_1189,X_1188,E),
inference(subst,[],[refute_0_330:[bind(D,$fot(X_1188)),bind(X_1186,$fot(X_1189)),bind(X_1187,$fot(E))]]) ).
cnf(refute_0_332,plain,
cyclic(X_1189,X_1188,skolemFOFtoCNF_B_1,E),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1189,X_1188,E) )],[refute_0_331,refute_0_314]) ).
cnf(refute_0_333,plain,
cyclic(skolemFOFtoCNF_B_1,X_1191,skolemFOFtoCNF_B_1,D),
inference(subst,[],[refute_0_332:[bind(E,$fot(D)),bind(X_1188,$fot(X_1191)),bind(X_1189,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_334,plain,
cyclic(X_1191,skolemFOFtoCNF_B_1,D,X_1190),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1191,skolemFOFtoCNF_B_1,D) )],[refute_0_333,refute_0_307]) ).
cnf(refute_0_335,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_1207,D),
inference(subst,[],[refute_0_334:[bind(D,$fot(X_1207)),bind(X_1190,$fot(D)),bind(X_1191,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_336,plain,
cyclic(skolemFOFtoCNF_B_1,X_1207,D,X_1208),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_1207,D) )],[refute_0_335,refute_0_304]) ).
cnf(refute_0_337,plain,
cyclic(skolemFOFtoCNF_B_1,X_1210,X_1209,E),
inference(subst,[],[refute_0_336:[bind(D,$fot(X_1209)),bind(X_1207,$fot(X_1210)),bind(X_1208,$fot(E))]]) ).
cnf(refute_0_338,plain,
cyclic(X_1210,X_1209,X_1210,E),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1210,X_1209,E) )],[refute_0_337,refute_0_278]) ).
cnf(refute_0_339,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,D),
inference(subst,[],[refute_0_338:[bind(E,$fot(D)),bind(X_1209,$fot(skolemFOFtoCNF_B_1)),bind(X_1210,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_340,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,D,X_1337),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,D) )],[refute_0_339,refute_0_255]) ).
cnf(refute_0_341,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,X_1346,X_1347),
inference(subst,[],[refute_0_340:[bind(D,$fot(X_1346)),bind(X_1337,$fot(X_1347))]]) ).
cnf(refute_0_342,plain,
cyclic(skolemFOFtoCNF_A,X_1346,X_1347,X_1347),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,X_1346,X_1347) )],[refute_0_341,refute_0_222]) ).
cnf(refute_0_343,plain,
cyclic(skolemFOFtoCNF_A,X_1360,X_1361,X_1361),
inference(subst,[],[refute_0_342:[bind(X_1346,$fot(X_1360)),bind(X_1347,$fot(X_1361))]]) ).
cnf(refute_0_344,plain,
( ~ cyclic(skolemFOFtoCNF_A,X_1360,X_1361,D)
| cyclic(X_1360,X_1361,D,X_1361) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,X_1360,X_1361,X_1361) )],[refute_0_343,refute_0_221]) ).
cnf(refute_0_345,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,X_1346,D)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,X_1346,X_1347)
| cyclic(skolemFOFtoCNF_A,X_1346,D,X_1347) ),
inference(subst,[],[refute_0_158:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(X_1346)),bind(E,$fot(X_1347))]]) ).
cnf(refute_0_346,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,X_1346,D)
| cyclic(skolemFOFtoCNF_A,X_1346,D,X_1347) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,X_1346,X_1347) )],[refute_0_341,refute_0_345]) ).
cnf(refute_0_347,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_1344,D)
| ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_1344,X_1345)
| cyclic(skolemFOFtoCNF_B_1,X_1344,D,X_1345) ),
inference(subst,[],[refute_0_158:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_1344)),bind(E,$fot(X_1345))]]) ).
cnf(refute_0_348,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,D)
| ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_1336)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,D,X_1336) ),
inference(subst,[],[refute_0_158:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(X_1336))]]) ).
cnf(refute_0_349,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,D)
| cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,D,X_1336) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_1336) )],[refute_0_252,refute_0_348]) ).
cnf(refute_0_350,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1212,X_1212,D)
| ~ cyclic(skolemFOFtoCNF_B_1,X_1212,X_1212,X_1211)
| cyclic(X_1212,X_1212,D,X_1211) ),
inference(subst,[],[refute_0_158:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1212)),bind(C,$fot(X_1212)),bind(E,$fot(X_1211))]]) ).
cnf(refute_0_351,plain,
cyclic(skolemFOFtoCNF_B_1,X_1212,X_1212,X_1211),
inference(subst,[],[refute_0_326:[bind(E,$fot(X_1211)),bind(X_1082,$fot(X_1212))]]) ).
cnf(refute_0_352,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1212,X_1212,D)
| cyclic(X_1212,X_1212,D,X_1211) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1212,X_1212,X_1211) )],[refute_0_351,refute_0_350]) ).
cnf(refute_0_353,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1210,X_1209,X_1210)
| cyclic(skolemFOFtoCNF_B_1,X_1210,X_1210,X_1209) ),
inference(subst,[],[refute_0_160:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1210)),bind(C,$fot(X_1209)),bind(D,$fot(X_1210))]]) ).
cnf(refute_0_354,plain,
cyclic(skolemFOFtoCNF_B_1,X_1210,X_1210,X_1209),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1210,X_1209,X_1210) )],[refute_0_277,refute_0_353]) ).
cnf(refute_0_355,plain,
cyclic(skolemFOFtoCNF_B_1,X_1212,X_1212,D),
inference(subst,[],[refute_0_354:[bind(X_1209,$fot(D)),bind(X_1210,$fot(X_1212))]]) ).
cnf(refute_0_356,plain,
cyclic(X_1212,X_1212,D,X_1211),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1212,X_1212,D) )],[refute_0_355,refute_0_352]) ).
cnf(refute_0_357,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,D),
inference(subst,[],[refute_0_356:[bind(D,$fot(skolemFOFtoCNF_B_1)),bind(X_1211,$fot(D)),bind(X_1212,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_358,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,D,X_1336),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,D) )],[refute_0_357,refute_0_349]) ).
cnf(refute_0_359,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_1344,X_1345),
inference(subst,[],[refute_0_358:[bind(D,$fot(X_1344)),bind(X_1336,$fot(X_1345))]]) ).
cnf(refute_0_360,plain,
( ~ cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_1344,D)
| cyclic(skolemFOFtoCNF_B_1,X_1344,D,X_1345) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_1344,X_1345) )],[refute_0_359,refute_0_347]) ).
cnf(refute_0_361,plain,
cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_1344,D),
inference(subst,[],[refute_0_334:[bind(D,$fot(X_1344)),bind(X_1190,$fot(D)),bind(X_1191,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_362,plain,
cyclic(skolemFOFtoCNF_B_1,X_1344,D,X_1345),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,X_1344,D) )],[refute_0_361,refute_0_360]) ).
cnf(refute_0_363,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,X_1346,D),
inference(subst,[],[refute_0_362:[bind(D,$fot(X_1346)),bind(X_1344,$fot(skolemFOFtoCNF_A)),bind(X_1345,$fot(D))]]) ).
cnf(refute_0_364,plain,
cyclic(skolemFOFtoCNF_A,X_1346,D,X_1347),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,X_1346,D) )],[refute_0_363,refute_0_346]) ).
cnf(refute_0_365,plain,
cyclic(skolemFOFtoCNF_A,X_1360,X_1361,D),
inference(subst,[],[refute_0_364:[bind(D,$fot(X_1361)),bind(X_1346,$fot(X_1360)),bind(X_1347,$fot(D))]]) ).
cnf(refute_0_366,plain,
cyclic(X_1360,X_1361,D,X_1361),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,X_1360,X_1361,D) )],[refute_0_365,refute_0_344]) ).
cnf(refute_0_367,plain,
cyclic(X_1925,X_1926,X_1924,X_1926),
inference(subst,[],[refute_0_366:[bind(D,$fot(X_1924)),bind(X_1360,$fot(X_1925)),bind(X_1361,$fot(X_1926))]]) ).
cnf(refute_0_368,plain,
cyclic(X_1926,X_1925,X_1924,X_1926),
inference(resolve,[$cnf( cyclic(X_1925,X_1926,X_1924,X_1926) )],[refute_0_367,refute_0_220]) ).
cnf(refute_0_369,plain,
cyclic(X_2013,X_2012,X_2011,X_2013),
inference(subst,[],[refute_0_368:[bind(X_1924,$fot(X_2011)),bind(X_1925,$fot(X_2012)),bind(X_1926,$fot(X_2013))]]) ).
cnf(refute_0_370,plain,
( ~ cyclic(X_2013,X_2012,X_2011,D)
| cyclic(X_2012,X_2011,D,X_2013) ),
inference(resolve,[$cnf( cyclic(X_2013,X_2012,X_2011,X_2013) )],[refute_0_369,refute_0_219]) ).
cnf(refute_0_371,plain,
( ~ cyclic(X_2009,X_2008,X_2009,D)
| ~ cyclic(X_2009,X_2008,X_2009,X_2007)
| cyclic(X_2008,X_2009,D,X_2007) ),
inference(subst,[],[refute_0_158:[bind(A,$fot(X_2009)),bind(B,$fot(X_2008)),bind(C,$fot(X_2009)),bind(E,$fot(X_2007))]]) ).
cnf(refute_0_372,plain,
( ~ cyclic(X_1928,X_1929,X_1929,X_1927)
| cyclic(X_1929,X_1928,X_1929,X_1927) ),
inference(subst,[],[refute_0_154:[bind(A,$fot(X_1928)),bind(B,$fot(X_1929)),bind(C,$fot(X_1929)),bind(D,$fot(X_1927))]]) ).
cnf(refute_0_373,plain,
( ~ cyclic(skolemFOFtoCNF_A,X_1360,X_1361,E)
| ~ cyclic(skolemFOFtoCNF_A,X_1360,X_1361,X_1361)
| cyclic(X_1360,X_1361,X_1361,E) ),
inference(subst,[],[refute_0_158:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(X_1360)),bind(C,$fot(X_1361)),bind(D,$fot(X_1361))]]) ).
cnf(refute_0_374,plain,
( ~ cyclic(skolemFOFtoCNF_A,X_1360,X_1361,E)
| cyclic(X_1360,X_1361,X_1361,E) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,X_1360,X_1361,X_1361) )],[refute_0_343,refute_0_373]) ).
cnf(refute_0_375,plain,
cyclic(skolemFOFtoCNF_A,X_1360,X_1361,E),
inference(subst,[],[refute_0_364:[bind(D,$fot(X_1361)),bind(X_1346,$fot(X_1360)),bind(X_1347,$fot(E))]]) ).
cnf(refute_0_376,plain,
cyclic(X_1360,X_1361,X_1361,E),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_A,X_1360,X_1361,E) )],[refute_0_375,refute_0_374]) ).
cnf(refute_0_377,plain,
cyclic(X_1928,X_1929,X_1929,X_1927),
inference(subst,[],[refute_0_376:[bind(E,$fot(X_1927)),bind(X_1360,$fot(X_1928)),bind(X_1361,$fot(X_1929))]]) ).
cnf(refute_0_378,plain,
cyclic(X_1929,X_1928,X_1929,X_1927),
inference(resolve,[$cnf( cyclic(X_1928,X_1929,X_1929,X_1927) )],[refute_0_377,refute_0_372]) ).
cnf(refute_0_379,plain,
cyclic(X_2009,X_2008,X_2009,X_2007),
inference(subst,[],[refute_0_378:[bind(X_1927,$fot(X_2007)),bind(X_1928,$fot(X_2008)),bind(X_1929,$fot(X_2009))]]) ).
cnf(refute_0_380,plain,
( ~ cyclic(X_2009,X_2008,X_2009,D)
| cyclic(X_2008,X_2009,D,X_2007) ),
inference(resolve,[$cnf( cyclic(X_2009,X_2008,X_2009,X_2007) )],[refute_0_379,refute_0_371]) ).
cnf(refute_0_381,plain,
( ~ cyclic(X_2006,X_2006,X_2004,D)
| ~ cyclic(X_2006,X_2006,X_2004,X_2005)
| cyclic(X_2006,X_2004,D,X_2005) ),
inference(subst,[],[refute_0_158:[bind(A,$fot(X_2006)),bind(B,$fot(X_2006)),bind(C,$fot(X_2004)),bind(E,$fot(X_2005))]]) ).
cnf(refute_0_382,plain,
( ~ cyclic(X_1928,X_1929,X_1929,D)
| ~ cyclic(X_1928,X_1929,X_1929,X_1927)
| cyclic(X_1929,X_1929,D,X_1927) ),
inference(subst,[],[refute_0_158:[bind(A,$fot(X_1928)),bind(B,$fot(X_1929)),bind(C,$fot(X_1929)),bind(E,$fot(X_1927))]]) ).
cnf(refute_0_383,plain,
( ~ cyclic(X_1928,X_1929,X_1929,D)
| cyclic(X_1929,X_1929,D,X_1927) ),
inference(resolve,[$cnf( cyclic(X_1928,X_1929,X_1929,X_1927) )],[refute_0_377,refute_0_382]) ).
cnf(refute_0_384,plain,
( ~ cyclic(X_1925,X_1926,X_1924,X_1926)
| cyclic(X_1925,X_1926,X_1926,X_1924) ),
inference(subst,[],[refute_0_160:[bind(A,$fot(X_1925)),bind(B,$fot(X_1926)),bind(C,$fot(X_1924)),bind(D,$fot(X_1926))]]) ).
cnf(refute_0_385,plain,
cyclic(X_1925,X_1926,X_1926,X_1924),
inference(resolve,[$cnf( cyclic(X_1925,X_1926,X_1924,X_1926) )],[refute_0_367,refute_0_384]) ).
cnf(refute_0_386,plain,
cyclic(X_1928,X_1929,X_1929,D),
inference(subst,[],[refute_0_385:[bind(X_1924,$fot(D)),bind(X_1925,$fot(X_1928)),bind(X_1926,$fot(X_1929))]]) ).
cnf(refute_0_387,plain,
cyclic(X_1929,X_1929,D,X_1927),
inference(resolve,[$cnf( cyclic(X_1928,X_1929,X_1929,D) )],[refute_0_386,refute_0_383]) ).
cnf(refute_0_388,plain,
cyclic(X_2006,X_2006,X_2004,X_2005),
inference(subst,[],[refute_0_387:[bind(D,$fot(X_2004)),bind(X_1927,$fot(X_2005)),bind(X_1929,$fot(X_2006))]]) ).
cnf(refute_0_389,plain,
( ~ cyclic(X_2006,X_2006,X_2004,D)
| cyclic(X_2006,X_2004,D,X_2005) ),
inference(resolve,[$cnf( cyclic(X_2006,X_2006,X_2004,X_2005) )],[refute_0_388,refute_0_381]) ).
cnf(refute_0_390,plain,
cyclic(X_2006,X_2006,X_2004,D),
inference(subst,[],[refute_0_387:[bind(D,$fot(X_2004)),bind(X_1927,$fot(D)),bind(X_1929,$fot(X_2006))]]) ).
cnf(refute_0_391,plain,
cyclic(X_2006,X_2004,D,X_2005),
inference(resolve,[$cnf( cyclic(X_2006,X_2006,X_2004,D) )],[refute_0_390,refute_0_389]) ).
cnf(refute_0_392,plain,
cyclic(X_2009,X_2008,X_2009,D),
inference(subst,[],[refute_0_391:[bind(D,$fot(X_2009)),bind(X_2004,$fot(X_2008)),bind(X_2005,$fot(D)),bind(X_2006,$fot(X_2009))]]) ).
cnf(refute_0_393,plain,
cyclic(X_2008,X_2009,D,X_2007),
inference(resolve,[$cnf( cyclic(X_2009,X_2008,X_2009,D) )],[refute_0_392,refute_0_380]) ).
cnf(refute_0_394,plain,
cyclic(X_2013,X_2012,X_2011,D),
inference(subst,[],[refute_0_393:[bind(D,$fot(X_2011)),bind(X_2007,$fot(D)),bind(X_2008,$fot(X_2013)),bind(X_2009,$fot(X_2012))]]) ).
cnf(refute_0_395,plain,
cyclic(X_2012,X_2011,D,X_2013),
inference(resolve,[$cnf( cyclic(X_2013,X_2012,X_2011,D) )],[refute_0_394,refute_0_370]) ).
cnf(refute_0_396,plain,
cyclic(skolemFOFtoCNF_I,skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_395:[bind(D,$fot(skolemFOFtoCNF_A)),bind(X_2011,$fot(skolemFOFtoCNF_E)),bind(X_2012,$fot(skolemFOFtoCNF_I)),bind(X_2013,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_397,plain,
eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_I,skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_A) )],[refute_0_396,refute_0_218]) ).
cnf(refute_0_398,plain,
eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E) )],[refute_0_397,refute_0_127]) ).
cnf(refute_0_399,plain,
( ~ cyclic(A,B,C,P)
| ~ cyclic(A,B,C,Q)
| ~ cyclic(A,B,C,R)
| ~ eqangle(C,A,C,B,R,P,R,Q)
| cong(A,B,P,Q) ),
inference(canonicalize,[],[normalize_0_56]) ).
cnf(refute_0_400,plain,
cyclic(A,B,C,P),
inference(subst,[],[refute_0_395:[bind(D,$fot(C)),bind(X_2011,$fot(B)),bind(X_2012,$fot(A)),bind(X_2013,$fot(P))]]) ).
cnf(refute_0_401,plain,
( ~ cyclic(A,B,C,Q)
| ~ cyclic(A,B,C,R)
| ~ eqangle(C,A,C,B,R,P,R,Q)
| cong(A,B,P,Q) ),
inference(resolve,[$cnf( cyclic(A,B,C,P) )],[refute_0_400,refute_0_399]) ).
cnf(refute_0_402,plain,
cyclic(A,B,C,Q),
inference(subst,[],[refute_0_395:[bind(D,$fot(C)),bind(X_2011,$fot(B)),bind(X_2012,$fot(A)),bind(X_2013,$fot(Q))]]) ).
cnf(refute_0_403,plain,
( ~ cyclic(A,B,C,R)
| ~ eqangle(C,A,C,B,R,P,R,Q)
| cong(A,B,P,Q) ),
inference(resolve,[$cnf( cyclic(A,B,C,Q) )],[refute_0_402,refute_0_401]) ).
cnf(refute_0_404,plain,
cyclic(A,B,C,R),
inference(subst,[],[refute_0_395:[bind(D,$fot(C)),bind(X_2011,$fot(B)),bind(X_2012,$fot(A)),bind(X_2013,$fot(R))]]) ).
cnf(refute_0_405,plain,
( ~ eqangle(C,A,C,B,R,P,R,Q)
| cong(A,B,P,Q) ),
inference(resolve,[$cnf( cyclic(A,B,C,R) )],[refute_0_404,refute_0_403]) ).
cnf(refute_0_406,plain,
( ~ eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E)
| cong(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_405:[bind(A,$fot(skolemFOFtoCNF_I)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_A)),bind(P,$fot(skolemFOFtoCNF_A)),bind(Q,$fot(skolemFOFtoCNF_E)),bind(R,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_407,plain,
cong(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_A,skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E) )],[refute_0_398,refute_0_406]) ).
cnf(refute_0_408,plain,
cong(skolemFOFtoCNF_E,skolemFOFtoCNF_I,skolemFOFtoCNF_E,skolemFOFtoCNF_A),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_I,skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_E) )],[refute_0_407,refute_0_125]) ).
cnf(refute_0_409,plain,
~ cong(skolemFOFtoCNF_E,skolemFOFtoCNF_I,skolemFOFtoCNF_E,skolemFOFtoCNF_A),
inference(canonicalize,[],[normalize_0_57]) ).
cnf(refute_0_410,plain,
$false,
inference(resolve,[$cnf( cong(skolemFOFtoCNF_E,skolemFOFtoCNF_I,skolemFOFtoCNF_E,skolemFOFtoCNF_A) )],[refute_0_408,refute_0_409]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO578+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n013.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 16:51:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 11.30/11.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.30/11.48
% 11.30/11.48 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 11.30/11.51
%------------------------------------------------------------------------------