TSTP Solution File: GEO546+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO546+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n011.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 05:27:07 EDT 2022
% Result : Theorem 13.30s 13.49s
% Output : CNFRefutation 13.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 70
% Number of leaves : 32
% Syntax : Number of formulae : 647 ( 297 unt; 0 def)
% Number of atoms : 1165 ( 0 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 961 ( 443 ~; 438 |; 46 &)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 1670 ( 376 sgn 513 !; 6 ?)
% 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(ruleD7,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(A,B,D,C) ) ).
fof(ruleD8,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(C,D,A,B) ) ).
fof(ruleD9,axiom,
! [A,B,C,D,E,F] :
( ( perp(A,B,C,D)
& perp(C,D,E,F) )
=> para(A,B,E,F) ) ).
fof(ruleD12,axiom,
! [A,B,C,O] :
( ( cong(O,A,O,B)
& cong(O,A,O,C) )
=> circle(O,A,B,C) ) ).
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(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(ruleD21,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(A,B,P,Q,C,D,U,V) ) ).
fof(ruleD26,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqratio(A,B,C,D,P,Q,U,V)
=> eqratio(B,A,C,D,P,Q,U,V) ) ).
fof(ruleD27,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqratio(A,B,C,D,P,Q,U,V)
=> eqratio(C,D,A,B,U,V,P,Q) ) ).
fof(ruleD28,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqratio(A,B,C,D,P,Q,U,V)
=> eqratio(P,Q,U,V,A,B,C,D) ) ).
fof(ruleD29,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqratio(A,B,C,D,P,Q,U,V)
=> eqratio(A,B,P,Q,C,D,U,V) ) ).
fof(ruleD39,axiom,
! [A,B,C,D,P,Q] :
( eqangle(A,B,P,Q,C,D,P,Q)
=> para(A,B,C,D) ) ).
fof(ruleD40,axiom,
! [A,B,C,D,P,Q] :
( para(A,B,C,D)
=> eqangle(A,B,P,Q,C,D,P,Q) ) ).
fof(ruleD41,axiom,
! [A,B,P,Q] :
( cyclic(A,B,P,Q)
=> eqangle(P,A,P,B,Q,A,Q,B) ) ).
fof(ruleD42b,axiom,
! [A,B,P,Q] :
( ( eqangle(P,A,P,B,Q,A,Q,B)
& coll(P,Q,B) )
=> cyclic(A,B,P,Q) ) ).
fof(ruleD43,axiom,
! [A,B,C,P,Q,R] :
( ( cyclic(A,B,C,P)
& cyclic(A,B,C,Q)
& cyclic(A,B,C,R)
& eqangle(C,A,C,B,R,P,R,Q) )
=> cong(A,B,P,Q) ) ).
fof(ruleD45,axiom,
! [A,B,C,E,F] :
( ( midp(E,A,B)
& para(E,F,B,C)
& coll(F,A,C) )
=> midp(F,A,C) ) ).
fof(ruleD51,axiom,
! [A,B,C,O,M] :
( ( circle(O,A,B,C)
& coll(M,B,C)
& eqangle(A,B,A,C,O,B,O,M) )
=> midp(M,B,C) ) ).
fof(ruleD52,axiom,
! [A,B,C,M] :
( ( perp(A,B,B,C)
& midp(M,A,C) )
=> cong(A,M,B,M) ) ).
fof(ruleD56,axiom,
! [A,B,P,Q] :
( ( cong(A,P,B,P)
& cong(A,Q,B,Q) )
=> perp(A,B,P,Q) ) ).
fof(ruleD57,axiom,
! [A,B,P,Q] :
( ( cong(A,P,B,P)
& cong(A,Q,B,Q)
& cyclic(A,B,P,Q) )
=> perp(P,A,A,Q) ) ).
fof(ruleD65,axiom,
! [A,B,C,D,O] :
( ( para(A,B,C,D)
& coll(O,A,C)
& coll(O,B,D) )
=> eqratio(O,A,A,C,O,B,B,D) ) ).
fof(ruleD66,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ) ).
fof(ruleD75,axiom,
! [A,B,C,D,P,Q,U,V] :
( ( eqratio(A,B,C,D,P,Q,U,V)
& cong(P,Q,U,V) )
=> cong(A,B,C,D) ) ).
fof(exemplo6GDDFULL012006,conjecture,
! [A,B,C,E,F,H] :
( ( perp(E,C,A,B)
& coll(E,A,B)
& perp(F,A,B,C)
& coll(F,B,C)
& coll(H,C,E)
& coll(H,A,F) )
=> perp(B,H,A,C) ) ).
fof(subgoal_0,plain,
! [A,B,C,E,F,H] :
( ( perp(E,C,A,B)
& coll(E,A,B)
& perp(F,A,B,C)
& coll(F,B,C)
& coll(H,C,E)
& coll(H,A,F) )
=> perp(B,H,A,C) ),
inference(strip,[],[exemplo6GDDFULL012006]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,E,F,H] :
( ( perp(E,C,A,B)
& coll(E,A,B)
& perp(F,A,B,C)
& coll(F,B,C)
& coll(H,C,E)
& coll(H,A,F) )
=> perp(B,H,A,C) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C,E,F,H] :
( ~ perp(B,H,A,C)
& coll(E,A,B)
& coll(F,B,C)
& coll(H,A,F)
& coll(H,C,E)
& perp(E,C,A,B)
& perp(F,A,B,C) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1)
& coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
& coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
& coll(skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_F)
& coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E)
& perp(skolemFOFtoCNF_E,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
& perp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| perp(A,B,P,Q) ),
inference(canonicalize,[],[ruleD56]) ).
fof(normalize_0_4,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| perp(A,B,P,Q) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,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_6,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_5]) ).
fof(normalize_0_7,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqratio(A,B,C,D,P,Q,U,V)
| eqratio(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[ruleD27]) ).
fof(normalize_0_8,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqratio(A,B,C,D,P,Q,U,V)
| eqratio(C,D,A,B,U,V,P,Q) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,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_10,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_9]) ).
fof(normalize_0_11,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqratio(A,B,C,D,P,Q,U,V)
| eqratio(P,Q,U,V,A,B,C,D) ),
inference(canonicalize,[],[ruleD28]) ).
fof(normalize_0_12,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqratio(A,B,C,D,P,Q,U,V)
| eqratio(P,Q,U,V,A,B,C,D) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| para(A,B,D,C) ),
inference(canonicalize,[],[ruleD4]) ).
fof(normalize_0_14,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| para(A,B,D,C) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,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_16,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_15]) ).
fof(normalize_0_17,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_16]) ).
fof(normalize_0_18,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_19,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_18]) ).
fof(normalize_0_20,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_21,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_20]) ).
fof(normalize_0_22,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_21]) ).
fof(normalize_0_23,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[ruleD8]) ).
fof(normalize_0_24,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[ruleD7]) ).
fof(normalize_0_26,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(specialize,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
perp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_28,plain,
! [A,B,C,D,E,F] :
( ~ perp(A,B,C,D)
| ~ perp(C,D,E,F)
| para(A,B,E,F) ),
inference(canonicalize,[],[ruleD9]) ).
fof(normalize_0_29,plain,
! [A,B,C,D,E,F] :
( ~ perp(A,B,C,D)
| ~ perp(C,D,E,F)
| para(A,B,E,F) ),
inference(specialize,[],[normalize_0_28]) ).
fof(normalize_0_30,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_31,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_30]) ).
fof(normalize_0_32,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[ruleD3]) ).
fof(normalize_0_33,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(specialize,[],[normalize_0_32]) ).
fof(normalize_0_34,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[ruleD1]) ).
fof(normalize_0_35,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(specialize,[],[normalize_0_34]) ).
fof(normalize_0_36,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[ruleD2]) ).
fof(normalize_0_37,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(specialize,[],[normalize_0_36]) ).
fof(normalize_0_38,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_39,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_F),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_40,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[ruleD66]) ).
fof(normalize_0_41,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(specialize,[],[normalize_0_40]) ).
fof(normalize_0_42,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_43,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_44,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqratio(A,B,C,D,P,Q,U,V)
| eqratio(A,B,P,Q,C,D,U,V) ),
inference(canonicalize,[],[ruleD29]) ).
fof(normalize_0_45,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqratio(A,B,C,D,P,Q,U,V)
| eqratio(A,B,P,Q,C,D,U,V) ),
inference(specialize,[],[normalize_0_44]) ).
fof(normalize_0_46,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[ruleD41]) ).
fof(normalize_0_47,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(specialize,[],[normalize_0_46]) ).
fof(normalize_0_48,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[ruleD15]) ).
fof(normalize_0_49,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(specialize,[],[normalize_0_48]) ).
fof(normalize_0_50,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_51,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_50]) ).
fof(normalize_0_52,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[ruleD14]) ).
fof(normalize_0_53,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(specialize,[],[normalize_0_52]) ).
fof(normalize_0_54,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_55,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_54]) ).
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(canonicalize,[],[ruleD43]) ).
fof(normalize_0_57,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_56]) ).
fof(normalize_0_58,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[ruleD16]) ).
fof(normalize_0_59,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(specialize,[],[normalize_0_58]) ).
fof(normalize_0_60,plain,
! [A,B,C,M] :
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[ruleD52]) ).
fof(normalize_0_61,plain,
! [A,B,C,M] :
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(specialize,[],[normalize_0_60]) ).
fof(normalize_0_62,plain,
! [A,B,C,E,F] :
( ~ coll(F,A,C)
| ~ midp(E,A,B)
| ~ para(E,F,B,C)
| midp(F,A,C) ),
inference(canonicalize,[],[ruleD45]) ).
fof(normalize_0_63,plain,
! [A,B,C,E,F] :
( ~ coll(F,A,C)
| ~ midp(E,A,B)
| ~ para(E,F,B,C)
| midp(F,A,C) ),
inference(specialize,[],[normalize_0_62]) ).
fof(normalize_0_64,plain,
! [A,B,C,M,O] :
( ~ circle(O,A,B,C)
| ~ coll(M,B,C)
| ~ eqangle(A,B,A,C,O,B,O,M)
| midp(M,B,C) ),
inference(canonicalize,[],[ruleD51]) ).
fof(normalize_0_65,plain,
! [A,B,C,M,O] :
( ~ circle(O,A,B,C)
| ~ coll(M,B,C)
| ~ eqangle(A,B,A,C,O,B,O,M)
| midp(M,B,C) ),
inference(specialize,[],[normalize_0_64]) ).
fof(normalize_0_66,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[ruleD12]) ).
fof(normalize_0_67,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(specialize,[],[normalize_0_66]) ).
fof(normalize_0_68,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_69,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_68]) ).
fof(normalize_0_70,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(canonicalize,[],[ruleD57]) ).
fof(normalize_0_71,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(specialize,[],[normalize_0_70]) ).
cnf(refute_0_0,plain,
~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| perp(A,B,P,Q) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ cong(skolemFOFtoCNF_B_1,P,X_7287,P)
| ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_7287,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_B_1,X_7287,P,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_7287)),bind(Q,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_3,plain,
( ~ cong(P,Q,U,V)
| ~ eqratio(A,B,C,D,P,Q,U,V)
| cong(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_4,plain,
( ~ cong(X_6793,X_6792,X_6791,X_6792)
| ~ eqratio(X_6793,X_6791,X_6792,X_6791,X_6793,X_6792,X_6791,X_6792)
| cong(X_6793,X_6791,X_6792,X_6791) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(X_6793)),bind(B,$fot(X_6791)),bind(C,$fot(X_6792)),bind(D,$fot(X_6791)),bind(P,$fot(X_6793)),bind(Q,$fot(X_6792)),bind(U,$fot(X_6791)),bind(V,$fot(X_6792))]]) ).
cnf(refute_0_5,plain,
( ~ eqratio(A,B,C,D,P,Q,U,V)
| eqratio(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_6,plain,
( ~ eqratio(X_6718,X_6717,X_6719,X_6717,X_6717,X_6718,X_6719,X_6718)
| eqratio(X_6719,X_6717,X_6718,X_6717,X_6719,X_6718,X_6717,X_6718) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_6718)),bind(B,$fot(X_6717)),bind(C,$fot(X_6719)),bind(D,$fot(X_6717)),bind(P,$fot(X_6717)),bind(Q,$fot(X_6718)),bind(U,$fot(X_6719)),bind(V,$fot(X_6718))]]) ).
cnf(refute_0_7,plain,
( ~ eqratio(A,B,C,D,P,Q,U,V)
| eqratio(B,A,C,D,P,Q,U,V) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_8,plain,
( ~ eqratio(X_6625,X_6626,X_6627,X_6625,X_6625,X_6626,X_6627,X_6626)
| eqratio(X_6626,X_6625,X_6627,X_6625,X_6625,X_6626,X_6627,X_6626) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(X_6625)),bind(B,$fot(X_6626)),bind(C,$fot(X_6627)),bind(D,$fot(X_6625)),bind(P,$fot(X_6625)),bind(Q,$fot(X_6626)),bind(U,$fot(X_6627)),bind(V,$fot(X_6626))]]) ).
cnf(refute_0_9,plain,
( ~ eqratio(A,B,C,D,P,Q,U,V)
| eqratio(P,Q,U,V,A,B,C,D) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_10,plain,
( ~ eqratio(X_6547,X_6548,X_6549,X_6548,X_6547,X_6548,X_6549,X_6547)
| eqratio(X_6547,X_6548,X_6549,X_6547,X_6547,X_6548,X_6549,X_6548) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_6547)),bind(B,$fot(X_6548)),bind(C,$fot(X_6549)),bind(D,$fot(X_6548)),bind(P,$fot(X_6547)),bind(Q,$fot(X_6548)),bind(U,$fot(X_6549)),bind(V,$fot(X_6547))]]) ).
cnf(refute_0_11,plain,
( ~ eqratio(X_6501,X_6500,X_6502,X_6501,X_6500,X_6501,X_6502,X_6500)
| eqratio(X_6500,X_6501,X_6502,X_6501,X_6500,X_6501,X_6502,X_6500) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(X_6501)),bind(B,$fot(X_6500)),bind(C,$fot(X_6502)),bind(D,$fot(X_6501)),bind(P,$fot(X_6500)),bind(Q,$fot(X_6501)),bind(U,$fot(X_6502)),bind(V,$fot(X_6500))]]) ).
cnf(refute_0_12,plain,
( ~ eqratio(X_6433,X_6432,X_6432,X_6431,X_6433,X_6431,X_6431,X_6432)
| eqratio(X_6432,X_6431,X_6433,X_6432,X_6431,X_6432,X_6433,X_6431) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_6433)),bind(B,$fot(X_6432)),bind(C,$fot(X_6432)),bind(D,$fot(X_6431)),bind(P,$fot(X_6433)),bind(Q,$fot(X_6431)),bind(U,$fot(X_6431)),bind(V,$fot(X_6432))]]) ).
cnf(refute_0_13,plain,
( ~ para(A,B,C,D)
| para(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_14,plain,
( ~ para(X_842,X_843,X_842,X_843)
| para(X_842,X_843,X_843,X_842) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(X_842)),bind(B,$fot(X_843)),bind(C,$fot(X_842)),bind(D,$fot(X_843))]]) ).
cnf(refute_0_15,plain,
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_16,plain,
( ~ eqangle(X_829,X_830,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_829,X_830,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| para(X_829,X_830,X_829,X_830) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(X_829)),bind(B,$fot(X_830)),bind(C,$fot(X_829)),bind(D,$fot(X_830)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_17,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_18,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_823,X_824,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_823,X_824)
| eqangle(X_823,X_824,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_823,X_824,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_17:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(X_823)),bind(D,$fot(X_824)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_C_1)),bind(U,$fot(X_823)),bind(V,$fot(X_824))]]) ).
cnf(refute_0_19,plain,
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_20,plain,
( ~ para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,P,Q,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,P,Q) ),
inference(subst,[],[refute_0_19:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_21,plain,
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_22,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_F)
| perp(skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_21:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_23,plain,
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_24,plain,
( ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_A)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_25,plain,
perp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_26,plain,
( ~ perp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_21:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_27,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_A),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_F,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_F),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_F,skolemFOFtoCNF_A) )],[refute_0_27,refute_0_24]) ).
cnf(refute_0_29,plain,
perp(skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_F) )],[refute_0_28,refute_0_22]) ).
cnf(refute_0_30,plain,
( ~ perp(A,B,C,D)
| ~ perp(C,D,E,F)
| para(A,B,E,F) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_31,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_F,X_819,X_820)
| ~ perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_F)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_819,X_820) ),
inference(subst,[],[refute_0_30:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_F)),bind(E,$fot(X_819)),bind(F,$fot(X_820))]]) ).
cnf(refute_0_32,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_F,X_819,X_820)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_819,X_820) ),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_A,skolemFOFtoCNF_F) )],[refute_0_28,refute_0_31]) ).
cnf(refute_0_33,plain,
( ~ perp(skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_32:[bind(X_819,$fot(skolemFOFtoCNF_B_1)),bind(X_820,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_34,plain,
para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( perp(skolemFOFtoCNF_A,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_29,refute_0_33]) ).
cnf(refute_0_35,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,P,Q,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,P,Q),
inference(resolve,[$cnf( para(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_34,refute_0_20]) ).
cnf(refute_0_36,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_823,X_824,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_823,X_824),
inference(subst,[],[refute_0_35:[bind(P,$fot(X_823)),bind(Q,$fot(X_824))]]) ).
cnf(refute_0_37,plain,
eqangle(X_823,X_824,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_823,X_824,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_823,X_824,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_823,X_824) )],[refute_0_36,refute_0_18]) ).
cnf(refute_0_38,plain,
eqangle(X_829,X_830,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_829,X_830,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_37:[bind(X_823,$fot(X_829)),bind(X_824,$fot(X_830))]]) ).
cnf(refute_0_39,plain,
para(X_829,X_830,X_829,X_830),
inference(resolve,[$cnf( eqangle(X_829,X_830,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_829,X_830,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_38,refute_0_16]) ).
cnf(refute_0_40,plain,
para(X_842,X_843,X_842,X_843),
inference(subst,[],[refute_0_39:[bind(X_829,$fot(X_842)),bind(X_830,$fot(X_843))]]) ).
cnf(refute_0_41,plain,
para(X_842,X_843,X_843,X_842),
inference(resolve,[$cnf( para(X_842,X_843,X_842,X_843) )],[refute_0_40,refute_0_14]) ).
cnf(refute_0_42,plain,
para(X_6306,X_6305,X_6305,X_6306),
inference(subst,[],[refute_0_41:[bind(X_842,$fot(X_6306)),bind(X_843,$fot(X_6305))]]) ).
cnf(refute_0_43,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_31]) ).
cnf(refute_0_44,plain,
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_45,plain,
( ~ coll(X_992,skolemFOFtoCNF_H,C)
| ~ coll(X_992,skolemFOFtoCNF_H,X_993)
| coll(C,X_993,X_992) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(X_992)),bind(B,$fot(skolemFOFtoCNF_H)),bind(D,$fot(X_993))]]) ).
cnf(refute_0_46,plain,
( ~ coll(X_869,skolemFOFtoCNF_B_1,C)
| ~ coll(X_869,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H)
| coll(C,skolemFOFtoCNF_H,X_869) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(X_869)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_47,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,C)
| ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1)
| coll(C,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_H)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_48,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_H)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_49,plain,
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_50,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_49:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_51,plain,
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_52,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_51:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_53,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_54,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_55,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_49:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_56,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_51:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_58,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_E,skolemFOFtoCNF_A) )],[refute_0_58,refute_0_53]) ).
cnf(refute_0_60,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_F,skolemFOFtoCNF_A)
| coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_A)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_61,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_F),
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_62,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_H,skolemFOFtoCNF_F,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_49:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_63,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_F,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_F) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_F,skolemFOFtoCNF_A) )],[refute_0_63,refute_0_60]) ).
cnf(refute_0_65,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_264)
| ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_H)
| coll(skolemFOFtoCNF_H,X_264,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_H)),bind(D,$fot(X_264))]]) ).
cnf(refute_0_66,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_264)
| coll(skolemFOFtoCNF_H,X_264,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_H) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_66:[bind(X_264,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_68,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_B_1) )],[refute_0_59,refute_0_67]) ).
cnf(refute_0_69,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_B_1,skolemFOFtoCNF_A) )],[refute_0_68,refute_0_52]) ).
cnf(refute_0_70,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_A) )],[refute_0_69,refute_0_50]) ).
cnf(refute_0_71,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A,skolemFOFtoCNF_H) )],[refute_0_70,refute_0_48]) ).
cnf(refute_0_72,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,C)
| coll(C,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,skolemFOFtoCNF_B_1) )],[refute_0_71,refute_0_47]) ).
cnf(refute_0_73,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_848)
| coll(X_848,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_72:[bind(C,$fot(X_848))]]) ).
cnf(refute_0_74,plain,
( ~ coll(X_847,X_846,X_847)
| coll(X_847,X_847,X_846) ),
inference(subst,[],[refute_0_49:[bind(A,$fot(X_847)),bind(B,$fot(X_846)),bind(C,$fot(X_847))]]) ).
cnf(refute_0_75,plain,
( ~ coll(X_844,X_845,X_845)
| coll(X_845,X_844,X_845) ),
inference(subst,[],[refute_0_51:[bind(A,$fot(X_844)),bind(B,$fot(X_845)),bind(C,$fot(X_845))]]) ).
cnf(refute_0_76,plain,
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_77,plain,
( ~ para(X_842,X_843,X_842,X_843)
| coll(X_842,X_843,X_843) ),
inference(subst,[],[refute_0_76:[bind(A,$fot(X_842)),bind(B,$fot(X_843)),bind(C,$fot(X_843))]]) ).
cnf(refute_0_78,plain,
coll(X_842,X_843,X_843),
inference(resolve,[$cnf( para(X_842,X_843,X_842,X_843) )],[refute_0_40,refute_0_77]) ).
cnf(refute_0_79,plain,
coll(X_844,X_845,X_845),
inference(subst,[],[refute_0_78:[bind(X_842,$fot(X_844)),bind(X_843,$fot(X_845))]]) ).
cnf(refute_0_80,plain,
coll(X_845,X_844,X_845),
inference(resolve,[$cnf( coll(X_844,X_845,X_845) )],[refute_0_79,refute_0_75]) ).
cnf(refute_0_81,plain,
coll(X_847,X_846,X_847),
inference(subst,[],[refute_0_80:[bind(X_844,$fot(X_846)),bind(X_845,$fot(X_847))]]) ).
cnf(refute_0_82,plain,
coll(X_847,X_847,X_846),
inference(resolve,[$cnf( coll(X_847,X_846,X_847) )],[refute_0_81,refute_0_74]) ).
cnf(refute_0_83,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_848),
inference(subst,[],[refute_0_82:[bind(X_846,$fot(X_848)),bind(X_847,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_84,plain,
coll(X_848,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_H,X_848) )],[refute_0_83,refute_0_73]) ).
cnf(refute_0_85,plain,
coll(X_869,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H),
inference(subst,[],[refute_0_84:[bind(X_848,$fot(X_869))]]) ).
cnf(refute_0_86,plain,
( ~ coll(X_869,skolemFOFtoCNF_B_1,C)
| coll(C,skolemFOFtoCNF_H,X_869) ),
inference(resolve,[$cnf( coll(X_869,skolemFOFtoCNF_B_1,skolemFOFtoCNF_H) )],[refute_0_85,refute_0_46]) ).
cnf(refute_0_87,plain,
( ~ coll(X_849,X_849,C)
| ~ coll(X_849,X_849,X_848)
| coll(C,X_848,X_849) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(X_849)),bind(B,$fot(X_849)),bind(D,$fot(X_848))]]) ).
cnf(refute_0_88,plain,
coll(X_849,X_849,X_848),
inference(subst,[],[refute_0_82:[bind(X_846,$fot(X_848)),bind(X_847,$fot(X_849))]]) ).
cnf(refute_0_89,plain,
( ~ coll(X_849,X_849,C)
| coll(C,X_848,X_849) ),
inference(resolve,[$cnf( coll(X_849,X_849,X_848) )],[refute_0_88,refute_0_87]) ).
cnf(refute_0_90,plain,
coll(X_849,X_849,C),
inference(subst,[],[refute_0_82:[bind(X_846,$fot(C)),bind(X_847,$fot(X_849))]]) ).
cnf(refute_0_91,plain,
coll(C,X_848,X_849),
inference(resolve,[$cnf( coll(X_849,X_849,C) )],[refute_0_90,refute_0_89]) ).
cnf(refute_0_92,plain,
coll(X_869,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_91:[bind(C,$fot(X_869)),bind(X_848,$fot(skolemFOFtoCNF_B_1)),bind(X_849,$fot(C))]]) ).
cnf(refute_0_93,plain,
coll(C,skolemFOFtoCNF_H,X_869),
inference(resolve,[$cnf( coll(X_869,skolemFOFtoCNF_B_1,C) )],[refute_0_92,refute_0_86]) ).
cnf(refute_0_94,plain,
coll(X_992,skolemFOFtoCNF_H,X_993),
inference(subst,[],[refute_0_93:[bind(C,$fot(X_992)),bind(X_869,$fot(X_993))]]) ).
cnf(refute_0_95,plain,
( ~ coll(X_992,skolemFOFtoCNF_H,C)
| coll(C,X_993,X_992) ),
inference(resolve,[$cnf( coll(X_992,skolemFOFtoCNF_H,X_993) )],[refute_0_94,refute_0_45]) ).
cnf(refute_0_96,plain,
( ~ coll(X_990,skolemFOFtoCNF_B_1,C)
| ~ coll(X_990,skolemFOFtoCNF_B_1,X_991)
| coll(C,X_991,X_990) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(X_990)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_991))]]) ).
cnf(refute_0_97,plain,
( ~ coll(X_860,skolemFOFtoCNF_F,C)
| ~ coll(X_860,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1)
| coll(C,skolemFOFtoCNF_B_1,X_860) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(X_860)),bind(B,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_98,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_99,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_100,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_49:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_101,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_101,refute_0_98]) ).
cnf(refute_0_103,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_263)
| ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F)
| coll(X_263,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_263)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_104,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_263)
| coll(X_263,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_F) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_848)
| coll(X_848,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_104:[bind(X_263,$fot(X_848))]]) ).
cnf(refute_0_106,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_848),
inference(subst,[],[refute_0_82:[bind(X_846,$fot(X_848)),bind(X_847,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_107,plain,
coll(X_848,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_848) )],[refute_0_106,refute_0_105]) ).
cnf(refute_0_108,plain,
coll(X_860,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_107:[bind(X_848,$fot(X_860))]]) ).
cnf(refute_0_109,plain,
( ~ coll(X_860,skolemFOFtoCNF_F,C)
| coll(C,skolemFOFtoCNF_B_1,X_860) ),
inference(resolve,[$cnf( coll(X_860,skolemFOFtoCNF_F,skolemFOFtoCNF_B_1) )],[refute_0_108,refute_0_97]) ).
cnf(refute_0_110,plain,
coll(X_860,skolemFOFtoCNF_F,C),
inference(subst,[],[refute_0_91:[bind(C,$fot(X_860)),bind(X_848,$fot(skolemFOFtoCNF_F)),bind(X_849,$fot(C))]]) ).
cnf(refute_0_111,plain,
coll(C,skolemFOFtoCNF_B_1,X_860),
inference(resolve,[$cnf( coll(X_860,skolemFOFtoCNF_F,C) )],[refute_0_110,refute_0_109]) ).
cnf(refute_0_112,plain,
coll(X_990,skolemFOFtoCNF_B_1,X_991),
inference(subst,[],[refute_0_111:[bind(C,$fot(X_990)),bind(X_860,$fot(X_991))]]) ).
cnf(refute_0_113,plain,
( ~ coll(X_990,skolemFOFtoCNF_B_1,C)
| coll(C,X_991,X_990) ),
inference(resolve,[$cnf( coll(X_990,skolemFOFtoCNF_B_1,X_991) )],[refute_0_112,refute_0_96]) ).
cnf(refute_0_114,plain,
( ~ coll(X_984,skolemFOFtoCNF_E,C)
| ~ coll(X_984,skolemFOFtoCNF_E,X_985)
| coll(C,X_985,X_984) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(X_984)),bind(B,$fot(skolemFOFtoCNF_E)),bind(D,$fot(X_985))]]) ).
cnf(refute_0_115,plain,
( ~ coll(X_910,skolemFOFtoCNF_C_1,C)
| ~ coll(X_910,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E)
| coll(C,skolemFOFtoCNF_E,X_910) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(X_910)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_116,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_H)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_117,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),
inference(canonicalize,[],[normalize_0_43]) ).
cnf(refute_0_118,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_51:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_119,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_H,skolemFOFtoCNF_E) )],[refute_0_119,refute_0_116]) ).
cnf(refute_0_121,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_263)
| ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1)
| coll(X_263,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(skolemFOFtoCNF_E)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(X_263)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_122,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_263)
| coll(X_263,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
( ~ coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_848)
| coll(X_848,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_122:[bind(X_263,$fot(X_848))]]) ).
cnf(refute_0_124,plain,
coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_848),
inference(subst,[],[refute_0_82:[bind(X_846,$fot(X_848)),bind(X_847,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_125,plain,
coll(X_848,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_E,skolemFOFtoCNF_E,X_848) )],[refute_0_124,refute_0_123]) ).
cnf(refute_0_126,plain,
coll(X_910,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E),
inference(subst,[],[refute_0_125:[bind(X_848,$fot(X_910))]]) ).
cnf(refute_0_127,plain,
( ~ coll(X_910,skolemFOFtoCNF_C_1,C)
| coll(C,skolemFOFtoCNF_E,X_910) ),
inference(resolve,[$cnf( coll(X_910,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) )],[refute_0_126,refute_0_115]) ).
cnf(refute_0_128,plain,
( ~ coll(X_896,skolemFOFtoCNF_F,C)
| ~ coll(X_896,skolemFOFtoCNF_F,X_897)
| coll(C,X_897,X_896) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(X_896)),bind(B,$fot(skolemFOFtoCNF_F)),bind(D,$fot(X_897))]]) ).
cnf(refute_0_129,plain,
( ~ coll(X_895,skolemFOFtoCNF_H,C)
| ~ coll(X_895,skolemFOFtoCNF_H,skolemFOFtoCNF_F)
| coll(C,skolemFOFtoCNF_F,X_895) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(X_895)),bind(B,$fot(skolemFOFtoCNF_H)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_130,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_F)
| coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(skolemFOFtoCNF_F)),bind(D,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_131,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_F) )],[refute_0_61,refute_0_130]) ).
cnf(refute_0_132,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_263)
| ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_H)
| coll(X_263,skolemFOFtoCNF_H,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(X_263)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_133,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_263)
| coll(X_263,skolemFOFtoCNF_H,skolemFOFtoCNF_F) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,skolemFOFtoCNF_H) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_848)
| coll(X_848,skolemFOFtoCNF_H,skolemFOFtoCNF_F) ),
inference(subst,[],[refute_0_133:[bind(X_263,$fot(X_848))]]) ).
cnf(refute_0_135,plain,
coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_848),
inference(subst,[],[refute_0_82:[bind(X_846,$fot(X_848)),bind(X_847,$fot(skolemFOFtoCNF_F))]]) ).
cnf(refute_0_136,plain,
coll(X_848,skolemFOFtoCNF_H,skolemFOFtoCNF_F),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_F,X_848) )],[refute_0_135,refute_0_134]) ).
cnf(refute_0_137,plain,
coll(X_895,skolemFOFtoCNF_H,skolemFOFtoCNF_F),
inference(subst,[],[refute_0_136:[bind(X_848,$fot(X_895))]]) ).
cnf(refute_0_138,plain,
( ~ coll(X_895,skolemFOFtoCNF_H,C)
| coll(C,skolemFOFtoCNF_F,X_895) ),
inference(resolve,[$cnf( coll(X_895,skolemFOFtoCNF_H,skolemFOFtoCNF_F) )],[refute_0_137,refute_0_129]) ).
cnf(refute_0_139,plain,
coll(X_895,skolemFOFtoCNF_H,C),
inference(subst,[],[refute_0_91:[bind(C,$fot(X_895)),bind(X_848,$fot(skolemFOFtoCNF_H)),bind(X_849,$fot(C))]]) ).
cnf(refute_0_140,plain,
coll(C,skolemFOFtoCNF_F,X_895),
inference(resolve,[$cnf( coll(X_895,skolemFOFtoCNF_H,C) )],[refute_0_139,refute_0_138]) ).
cnf(refute_0_141,plain,
coll(X_896,skolemFOFtoCNF_F,X_897),
inference(subst,[],[refute_0_140:[bind(C,$fot(X_896)),bind(X_895,$fot(X_897))]]) ).
cnf(refute_0_142,plain,
( ~ coll(X_896,skolemFOFtoCNF_F,C)
| coll(C,X_897,X_896) ),
inference(resolve,[$cnf( coll(X_896,skolemFOFtoCNF_F,X_897) )],[refute_0_141,refute_0_128]) ).
cnf(refute_0_143,plain,
coll(X_896,skolemFOFtoCNF_F,C),
inference(subst,[],[refute_0_91:[bind(C,$fot(X_896)),bind(X_848,$fot(skolemFOFtoCNF_F)),bind(X_849,$fot(C))]]) ).
cnf(refute_0_144,plain,
coll(C,X_897,X_896),
inference(resolve,[$cnf( coll(X_896,skolemFOFtoCNF_F,C) )],[refute_0_143,refute_0_142]) ).
cnf(refute_0_145,plain,
coll(X_910,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_144:[bind(C,$fot(X_910)),bind(X_896,$fot(C)),bind(X_897,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_146,plain,
coll(C,skolemFOFtoCNF_E,X_910),
inference(resolve,[$cnf( coll(X_910,skolemFOFtoCNF_C_1,C) )],[refute_0_145,refute_0_127]) ).
cnf(refute_0_147,plain,
coll(X_984,skolemFOFtoCNF_E,X_985),
inference(subst,[],[refute_0_146:[bind(C,$fot(X_984)),bind(X_910,$fot(X_985))]]) ).
cnf(refute_0_148,plain,
( ~ coll(X_984,skolemFOFtoCNF_E,C)
| coll(C,X_985,X_984) ),
inference(resolve,[$cnf( coll(X_984,skolemFOFtoCNF_E,X_985) )],[refute_0_147,refute_0_114]) ).
cnf(refute_0_149,plain,
( ~ coll(X_978,skolemFOFtoCNF_C_1,C)
| ~ coll(X_978,skolemFOFtoCNF_C_1,X_979)
| coll(C,X_979,X_978) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(X_978)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(X_979))]]) ).
cnf(refute_0_150,plain,
( ~ coll(X_888,skolemFOFtoCNF_H,C)
| ~ coll(X_888,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1)
| coll(C,skolemFOFtoCNF_C_1,X_888) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(X_888)),bind(B,$fot(skolemFOFtoCNF_H)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_151,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_E)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_152,plain,
( ~ coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E)
| coll(skolemFOFtoCNF_H,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_49:[bind(A,$fot(skolemFOFtoCNF_H)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_153,plain,
coll(skolemFOFtoCNF_H,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_C_1,skolemFOFtoCNF_E) )],[refute_0_117,refute_0_152]) ).
cnf(refute_0_154,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_H,skolemFOFtoCNF_E,skolemFOFtoCNF_C_1) )],[refute_0_153,refute_0_151]) ).
cnf(refute_0_155,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_263)
| ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H)
| coll(X_263,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(X_263)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_156,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_263)
| coll(X_263,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_H) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_848)
| coll(X_848,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_156:[bind(X_263,$fot(X_848))]]) ).
cnf(refute_0_158,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_848),
inference(subst,[],[refute_0_82:[bind(X_846,$fot(X_848)),bind(X_847,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_159,plain,
coll(X_848,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,X_848) )],[refute_0_158,refute_0_157]) ).
cnf(refute_0_160,plain,
coll(X_888,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_159:[bind(X_848,$fot(X_888))]]) ).
cnf(refute_0_161,plain,
( ~ coll(X_888,skolemFOFtoCNF_H,C)
| coll(C,skolemFOFtoCNF_C_1,X_888) ),
inference(resolve,[$cnf( coll(X_888,skolemFOFtoCNF_H,skolemFOFtoCNF_C_1) )],[refute_0_160,refute_0_150]) ).
cnf(refute_0_162,plain,
coll(X_888,skolemFOFtoCNF_H,C),
inference(subst,[],[refute_0_91:[bind(C,$fot(X_888)),bind(X_848,$fot(skolemFOFtoCNF_H)),bind(X_849,$fot(C))]]) ).
cnf(refute_0_163,plain,
coll(C,skolemFOFtoCNF_C_1,X_888),
inference(resolve,[$cnf( coll(X_888,skolemFOFtoCNF_H,C) )],[refute_0_162,refute_0_161]) ).
cnf(refute_0_164,plain,
coll(X_978,skolemFOFtoCNF_C_1,X_979),
inference(subst,[],[refute_0_163:[bind(C,$fot(X_978)),bind(X_888,$fot(X_979))]]) ).
cnf(refute_0_165,plain,
( ~ coll(X_978,skolemFOFtoCNF_C_1,C)
| coll(C,X_979,X_978) ),
inference(resolve,[$cnf( coll(X_978,skolemFOFtoCNF_C_1,X_979) )],[refute_0_164,refute_0_149]) ).
cnf(refute_0_166,plain,
( ~ coll(X_974,skolemFOFtoCNF_A,C)
| ~ coll(X_974,skolemFOFtoCNF_A,X_975)
| coll(C,X_975,X_974) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(X_974)),bind(B,$fot(skolemFOFtoCNF_A)),bind(D,$fot(X_975))]]) ).
cnf(refute_0_167,plain,
( ~ coll(X_882,skolemFOFtoCNF_H,C)
| ~ coll(X_882,skolemFOFtoCNF_H,skolemFOFtoCNF_A)
| coll(C,skolemFOFtoCNF_A,X_882) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(X_882)),bind(B,$fot(skolemFOFtoCNF_H)),bind(D,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_168,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_263)
| ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_H)
| coll(X_263,skolemFOFtoCNF_H,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_A)),bind(C,$fot(X_263)),bind(D,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_169,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_263)
| coll(X_263,skolemFOFtoCNF_H,skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,skolemFOFtoCNF_H) )],[refute_0_64,refute_0_168]) ).
cnf(refute_0_170,plain,
( ~ coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_848)
| coll(X_848,skolemFOFtoCNF_H,skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_169:[bind(X_263,$fot(X_848))]]) ).
cnf(refute_0_171,plain,
coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_848),
inference(subst,[],[refute_0_82:[bind(X_846,$fot(X_848)),bind(X_847,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_172,plain,
coll(X_848,skolemFOFtoCNF_H,skolemFOFtoCNF_A),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_A,skolemFOFtoCNF_A,X_848) )],[refute_0_171,refute_0_170]) ).
cnf(refute_0_173,plain,
coll(X_882,skolemFOFtoCNF_H,skolemFOFtoCNF_A),
inference(subst,[],[refute_0_172:[bind(X_848,$fot(X_882))]]) ).
cnf(refute_0_174,plain,
( ~ coll(X_882,skolemFOFtoCNF_H,C)
| coll(C,skolemFOFtoCNF_A,X_882) ),
inference(resolve,[$cnf( coll(X_882,skolemFOFtoCNF_H,skolemFOFtoCNF_A) )],[refute_0_173,refute_0_167]) ).
cnf(refute_0_175,plain,
coll(X_882,skolemFOFtoCNF_H,C),
inference(subst,[],[refute_0_91:[bind(C,$fot(X_882)),bind(X_848,$fot(skolemFOFtoCNF_H)),bind(X_849,$fot(C))]]) ).
cnf(refute_0_176,plain,
coll(C,skolemFOFtoCNF_A,X_882),
inference(resolve,[$cnf( coll(X_882,skolemFOFtoCNF_H,C) )],[refute_0_175,refute_0_174]) ).
cnf(refute_0_177,plain,
coll(X_974,skolemFOFtoCNF_A,X_975),
inference(subst,[],[refute_0_176:[bind(C,$fot(X_974)),bind(X_882,$fot(X_975))]]) ).
cnf(refute_0_178,plain,
( ~ coll(X_974,skolemFOFtoCNF_A,C)
| coll(C,X_975,X_974) ),
inference(resolve,[$cnf( coll(X_974,skolemFOFtoCNF_A,X_975) )],[refute_0_177,refute_0_166]) ).
cnf(refute_0_179,plain,
coll(X_974,skolemFOFtoCNF_A,C),
inference(subst,[],[refute_0_144:[bind(C,$fot(X_974)),bind(X_896,$fot(C)),bind(X_897,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_180,plain,
coll(C,X_975,X_974),
inference(resolve,[$cnf( coll(X_974,skolemFOFtoCNF_A,C) )],[refute_0_179,refute_0_178]) ).
cnf(refute_0_181,plain,
coll(X_978,skolemFOFtoCNF_C_1,C),
inference(subst,[],[refute_0_180:[bind(C,$fot(X_978)),bind(X_974,$fot(C)),bind(X_975,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_182,plain,
coll(C,X_979,X_978),
inference(resolve,[$cnf( coll(X_978,skolemFOFtoCNF_C_1,C) )],[refute_0_181,refute_0_165]) ).
cnf(refute_0_183,plain,
coll(X_984,skolemFOFtoCNF_E,C),
inference(subst,[],[refute_0_182:[bind(C,$fot(X_984)),bind(X_978,$fot(C)),bind(X_979,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_184,plain,
coll(C,X_985,X_984),
inference(resolve,[$cnf( coll(X_984,skolemFOFtoCNF_E,C) )],[refute_0_183,refute_0_148]) ).
cnf(refute_0_185,plain,
coll(X_990,skolemFOFtoCNF_B_1,C),
inference(subst,[],[refute_0_184:[bind(C,$fot(X_990)),bind(X_984,$fot(C)),bind(X_985,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_186,plain,
coll(C,X_991,X_990),
inference(resolve,[$cnf( coll(X_990,skolemFOFtoCNF_B_1,C) )],[refute_0_185,refute_0_113]) ).
cnf(refute_0_187,plain,
coll(X_992,skolemFOFtoCNF_H,C),
inference(subst,[],[refute_0_186:[bind(C,$fot(X_992)),bind(X_990,$fot(C)),bind(X_991,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_188,plain,
coll(C,X_993,X_992),
inference(resolve,[$cnf( coll(X_992,skolemFOFtoCNF_H,C) )],[refute_0_187,refute_0_95]) ).
cnf(refute_0_189,plain,
coll(O,A,C),
inference(subst,[],[refute_0_188:[bind(C,$fot(O)),bind(X_992,$fot(C)),bind(X_993,$fot(A))]]) ).
cnf(refute_0_190,plain,
( ~ coll(O,B,D)
| ~ para(A,B,C,D)
| eqratio(O,A,A,C,O,B,B,D) ),
inference(resolve,[$cnf( coll(O,A,C) )],[refute_0_189,refute_0_43]) ).
cnf(refute_0_191,plain,
coll(O,B,D),
inference(subst,[],[refute_0_188:[bind(C,$fot(O)),bind(X_992,$fot(D)),bind(X_993,$fot(B))]]) ).
cnf(refute_0_192,plain,
( ~ para(A,B,C,D)
| eqratio(O,A,A,C,O,B,B,D) ),
inference(resolve,[$cnf( coll(O,B,D) )],[refute_0_191,refute_0_190]) ).
cnf(refute_0_193,plain,
( ~ para(X_6306,X_6305,X_6305,X_6306)
| eqratio(X_6307,X_6306,X_6306,X_6305,X_6307,X_6305,X_6305,X_6306) ),
inference(subst,[],[refute_0_192:[bind(A,$fot(X_6306)),bind(B,$fot(X_6305)),bind(C,$fot(X_6305)),bind(D,$fot(X_6306)),bind(O,$fot(X_6307))]]) ).
cnf(refute_0_194,plain,
eqratio(X_6307,X_6306,X_6306,X_6305,X_6307,X_6305,X_6305,X_6306),
inference(resolve,[$cnf( para(X_6306,X_6305,X_6305,X_6306) )],[refute_0_42,refute_0_193]) ).
cnf(refute_0_195,plain,
eqratio(X_6433,X_6432,X_6432,X_6431,X_6433,X_6431,X_6431,X_6432),
inference(subst,[],[refute_0_194:[bind(X_6305,$fot(X_6431)),bind(X_6306,$fot(X_6432)),bind(X_6307,$fot(X_6433))]]) ).
cnf(refute_0_196,plain,
eqratio(X_6432,X_6431,X_6433,X_6432,X_6431,X_6432,X_6433,X_6431),
inference(resolve,[$cnf( eqratio(X_6433,X_6432,X_6432,X_6431,X_6433,X_6431,X_6431,X_6432) )],[refute_0_195,refute_0_12]) ).
cnf(refute_0_197,plain,
eqratio(X_6501,X_6500,X_6502,X_6501,X_6500,X_6501,X_6502,X_6500),
inference(subst,[],[refute_0_196:[bind(X_6431,$fot(X_6500)),bind(X_6432,$fot(X_6501)),bind(X_6433,$fot(X_6502))]]) ).
cnf(refute_0_198,plain,
eqratio(X_6500,X_6501,X_6502,X_6501,X_6500,X_6501,X_6502,X_6500),
inference(resolve,[$cnf( eqratio(X_6501,X_6500,X_6502,X_6501,X_6500,X_6501,X_6502,X_6500) )],[refute_0_197,refute_0_11]) ).
cnf(refute_0_199,plain,
eqratio(X_6547,X_6548,X_6549,X_6548,X_6547,X_6548,X_6549,X_6547),
inference(subst,[],[refute_0_198:[bind(X_6500,$fot(X_6547)),bind(X_6501,$fot(X_6548)),bind(X_6502,$fot(X_6549))]]) ).
cnf(refute_0_200,plain,
eqratio(X_6547,X_6548,X_6549,X_6547,X_6547,X_6548,X_6549,X_6548),
inference(resolve,[$cnf( eqratio(X_6547,X_6548,X_6549,X_6548,X_6547,X_6548,X_6549,X_6547) )],[refute_0_199,refute_0_10]) ).
cnf(refute_0_201,plain,
eqratio(X_6625,X_6626,X_6627,X_6625,X_6625,X_6626,X_6627,X_6626),
inference(subst,[],[refute_0_200:[bind(X_6547,$fot(X_6625)),bind(X_6548,$fot(X_6626)),bind(X_6549,$fot(X_6627))]]) ).
cnf(refute_0_202,plain,
eqratio(X_6626,X_6625,X_6627,X_6625,X_6625,X_6626,X_6627,X_6626),
inference(resolve,[$cnf( eqratio(X_6625,X_6626,X_6627,X_6625,X_6625,X_6626,X_6627,X_6626) )],[refute_0_201,refute_0_8]) ).
cnf(refute_0_203,plain,
eqratio(X_6718,X_6717,X_6719,X_6717,X_6717,X_6718,X_6719,X_6718),
inference(subst,[],[refute_0_202:[bind(X_6625,$fot(X_6717)),bind(X_6626,$fot(X_6718)),bind(X_6627,$fot(X_6719))]]) ).
cnf(refute_0_204,plain,
eqratio(X_6719,X_6717,X_6718,X_6717,X_6719,X_6718,X_6717,X_6718),
inference(resolve,[$cnf( eqratio(X_6718,X_6717,X_6719,X_6717,X_6717,X_6718,X_6719,X_6718) )],[refute_0_203,refute_0_6]) ).
cnf(refute_0_205,plain,
eqratio(X_6793,X_6791,X_6792,X_6791,X_6793,X_6792,X_6791,X_6792),
inference(subst,[],[refute_0_204:[bind(X_6717,$fot(X_6791)),bind(X_6718,$fot(X_6792)),bind(X_6719,$fot(X_6793))]]) ).
cnf(refute_0_206,plain,
( ~ cong(X_6793,X_6792,X_6791,X_6792)
| cong(X_6793,X_6791,X_6792,X_6791) ),
inference(resolve,[$cnf( eqratio(X_6793,X_6791,X_6792,X_6791,X_6793,X_6792,X_6791,X_6792) )],[refute_0_205,refute_0_4]) ).
cnf(refute_0_207,plain,
( ~ cong(skolemFOFtoCNF_B_1,X_7203,skolemFOFtoCNF_C_1,X_7203)
| cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_7203,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_206:[bind(X_6791,$fot(skolemFOFtoCNF_C_1)),bind(X_6792,$fot(X_7203)),bind(X_6793,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_208,plain,
( ~ cong(X_6853,X_6852,X_6853,X_6852)
| ~ eqratio(X_6852,X_6854,X_6853,X_6854,X_6853,X_6852,X_6853,X_6852)
| cong(X_6852,X_6854,X_6853,X_6854) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(X_6852)),bind(B,$fot(X_6854)),bind(C,$fot(X_6853)),bind(D,$fot(X_6854)),bind(P,$fot(X_6853)),bind(Q,$fot(X_6852)),bind(U,$fot(X_6853)),bind(V,$fot(X_6852))]]) ).
cnf(refute_0_209,plain,
( ~ eqratio(X_6782,X_6781,X_6782,X_6781,X_6781,X_6783,X_6782,X_6783)
| eqratio(X_6781,X_6783,X_6782,X_6783,X_6782,X_6781,X_6782,X_6781) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_6782)),bind(B,$fot(X_6781)),bind(C,$fot(X_6782)),bind(D,$fot(X_6781)),bind(P,$fot(X_6781)),bind(Q,$fot(X_6783)),bind(U,$fot(X_6782)),bind(V,$fot(X_6783))]]) ).
cnf(refute_0_210,plain,
( ~ eqratio(X_6755,X_6756,X_6756,X_6755,X_6755,X_6757,X_6756,X_6757)
| eqratio(X_6756,X_6755,X_6756,X_6755,X_6755,X_6757,X_6756,X_6757) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(X_6755)),bind(B,$fot(X_6756)),bind(C,$fot(X_6756)),bind(D,$fot(X_6755)),bind(P,$fot(X_6755)),bind(Q,$fot(X_6757)),bind(U,$fot(X_6756)),bind(V,$fot(X_6757))]]) ).
cnf(refute_0_211,plain,
( ~ eqratio(X_6694,X_6696,X_6695,X_6696,X_6694,X_6695,X_6695,X_6694)
| eqratio(X_6694,X_6695,X_6695,X_6694,X_6694,X_6696,X_6695,X_6696) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_6694)),bind(B,$fot(X_6696)),bind(C,$fot(X_6695)),bind(D,$fot(X_6696)),bind(P,$fot(X_6694)),bind(Q,$fot(X_6695)),bind(U,$fot(X_6695)),bind(V,$fot(X_6694))]]) ).
cnf(refute_0_212,plain,
( ~ eqratio(X_6607,X_6605,X_6606,X_6607,X_6605,X_6606,X_6606,X_6605)
| eqratio(X_6605,X_6607,X_6606,X_6607,X_6605,X_6606,X_6606,X_6605) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(X_6607)),bind(B,$fot(X_6605)),bind(C,$fot(X_6606)),bind(D,$fot(X_6607)),bind(P,$fot(X_6605)),bind(Q,$fot(X_6606)),bind(U,$fot(X_6606)),bind(V,$fot(X_6605))]]) ).
cnf(refute_0_213,plain,
( ~ eqratio(X_6545,X_6546,X_6546,X_6544,X_6545,X_6544,X_6544,X_6545)
| eqratio(X_6546,X_6544,X_6545,X_6546,X_6544,X_6545,X_6545,X_6544) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_6545)),bind(B,$fot(X_6546)),bind(C,$fot(X_6546)),bind(D,$fot(X_6544)),bind(P,$fot(X_6545)),bind(Q,$fot(X_6544)),bind(U,$fot(X_6544)),bind(V,$fot(X_6545))]]) ).
cnf(refute_0_214,plain,
( ~ eqratio(X_6499,X_6498,X_6499,X_6497,X_6498,X_6497,X_6497,X_6498)
| eqratio(X_6498,X_6499,X_6499,X_6497,X_6498,X_6497,X_6497,X_6498) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(X_6499)),bind(B,$fot(X_6498)),bind(C,$fot(X_6499)),bind(D,$fot(X_6497)),bind(P,$fot(X_6498)),bind(Q,$fot(X_6497)),bind(U,$fot(X_6497)),bind(V,$fot(X_6498))]]) ).
cnf(refute_0_215,plain,
( ~ eqratio(A,B,C,D,P,Q,U,V)
| eqratio(A,B,P,Q,C,D,U,V) ),
inference(canonicalize,[],[normalize_0_45]) ).
cnf(refute_0_216,plain,
( ~ eqratio(X_6433,X_6432,X_6432,X_6431,X_6433,X_6431,X_6431,X_6432)
| eqratio(X_6433,X_6432,X_6433,X_6431,X_6432,X_6431,X_6431,X_6432) ),
inference(subst,[],[refute_0_215:[bind(A,$fot(X_6433)),bind(B,$fot(X_6432)),bind(C,$fot(X_6432)),bind(D,$fot(X_6431)),bind(P,$fot(X_6433)),bind(Q,$fot(X_6431)),bind(U,$fot(X_6431)),bind(V,$fot(X_6432))]]) ).
cnf(refute_0_217,plain,
eqratio(X_6433,X_6432,X_6433,X_6431,X_6432,X_6431,X_6431,X_6432),
inference(resolve,[$cnf( eqratio(X_6433,X_6432,X_6432,X_6431,X_6433,X_6431,X_6431,X_6432) )],[refute_0_195,refute_0_216]) ).
cnf(refute_0_218,plain,
eqratio(X_6499,X_6498,X_6499,X_6497,X_6498,X_6497,X_6497,X_6498),
inference(subst,[],[refute_0_217:[bind(X_6431,$fot(X_6497)),bind(X_6432,$fot(X_6498)),bind(X_6433,$fot(X_6499))]]) ).
cnf(refute_0_219,plain,
eqratio(X_6498,X_6499,X_6499,X_6497,X_6498,X_6497,X_6497,X_6498),
inference(resolve,[$cnf( eqratio(X_6499,X_6498,X_6499,X_6497,X_6498,X_6497,X_6497,X_6498) )],[refute_0_218,refute_0_214]) ).
cnf(refute_0_220,plain,
eqratio(X_6545,X_6546,X_6546,X_6544,X_6545,X_6544,X_6544,X_6545),
inference(subst,[],[refute_0_219:[bind(X_6497,$fot(X_6544)),bind(X_6498,$fot(X_6545)),bind(X_6499,$fot(X_6546))]]) ).
cnf(refute_0_221,plain,
eqratio(X_6546,X_6544,X_6545,X_6546,X_6544,X_6545,X_6545,X_6544),
inference(resolve,[$cnf( eqratio(X_6545,X_6546,X_6546,X_6544,X_6545,X_6544,X_6544,X_6545) )],[refute_0_220,refute_0_213]) ).
cnf(refute_0_222,plain,
eqratio(X_6607,X_6605,X_6606,X_6607,X_6605,X_6606,X_6606,X_6605),
inference(subst,[],[refute_0_221:[bind(X_6544,$fot(X_6605)),bind(X_6545,$fot(X_6606)),bind(X_6546,$fot(X_6607))]]) ).
cnf(refute_0_223,plain,
eqratio(X_6605,X_6607,X_6606,X_6607,X_6605,X_6606,X_6606,X_6605),
inference(resolve,[$cnf( eqratio(X_6607,X_6605,X_6606,X_6607,X_6605,X_6606,X_6606,X_6605) )],[refute_0_222,refute_0_212]) ).
cnf(refute_0_224,plain,
eqratio(X_6694,X_6696,X_6695,X_6696,X_6694,X_6695,X_6695,X_6694),
inference(subst,[],[refute_0_223:[bind(X_6605,$fot(X_6694)),bind(X_6606,$fot(X_6695)),bind(X_6607,$fot(X_6696))]]) ).
cnf(refute_0_225,plain,
eqratio(X_6694,X_6695,X_6695,X_6694,X_6694,X_6696,X_6695,X_6696),
inference(resolve,[$cnf( eqratio(X_6694,X_6696,X_6695,X_6696,X_6694,X_6695,X_6695,X_6694) )],[refute_0_224,refute_0_211]) ).
cnf(refute_0_226,plain,
eqratio(X_6755,X_6756,X_6756,X_6755,X_6755,X_6757,X_6756,X_6757),
inference(subst,[],[refute_0_225:[bind(X_6694,$fot(X_6755)),bind(X_6695,$fot(X_6756)),bind(X_6696,$fot(X_6757))]]) ).
cnf(refute_0_227,plain,
eqratio(X_6756,X_6755,X_6756,X_6755,X_6755,X_6757,X_6756,X_6757),
inference(resolve,[$cnf( eqratio(X_6755,X_6756,X_6756,X_6755,X_6755,X_6757,X_6756,X_6757) )],[refute_0_226,refute_0_210]) ).
cnf(refute_0_228,plain,
eqratio(X_6782,X_6781,X_6782,X_6781,X_6781,X_6783,X_6782,X_6783),
inference(subst,[],[refute_0_227:[bind(X_6755,$fot(X_6781)),bind(X_6756,$fot(X_6782)),bind(X_6757,$fot(X_6783))]]) ).
cnf(refute_0_229,plain,
eqratio(X_6781,X_6783,X_6782,X_6783,X_6782,X_6781,X_6782,X_6781),
inference(resolve,[$cnf( eqratio(X_6782,X_6781,X_6782,X_6781,X_6781,X_6783,X_6782,X_6783) )],[refute_0_228,refute_0_209]) ).
cnf(refute_0_230,plain,
eqratio(X_6852,X_6854,X_6853,X_6854,X_6853,X_6852,X_6853,X_6852),
inference(subst,[],[refute_0_229:[bind(X_6781,$fot(X_6852)),bind(X_6782,$fot(X_6853)),bind(X_6783,$fot(X_6854))]]) ).
cnf(refute_0_231,plain,
( ~ cong(X_6853,X_6852,X_6853,X_6852)
| cong(X_6852,X_6854,X_6853,X_6854) ),
inference(resolve,[$cnf( eqratio(X_6852,X_6854,X_6853,X_6854,X_6853,X_6852,X_6853,X_6852) )],[refute_0_230,refute_0_208]) ).
cnf(refute_0_232,plain,
( ~ cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_B_1,X_6854,skolemFOFtoCNF_C_1,X_6854) ),
inference(subst,[],[refute_0_231:[bind(X_6852,$fot(skolemFOFtoCNF_B_1)),bind(X_6853,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_233,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_17:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(P,$fot(skolemFOFtoCNF_C_1)),bind(Q,$fot(skolemFOFtoCNF_B_1)),bind(U,$fot(skolemFOFtoCNF_C_1)),bind(V,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_234,plain,
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(canonicalize,[],[normalize_0_47]) ).
cnf(refute_0_235,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_234:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_236,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(canonicalize,[],[normalize_0_49]) ).
cnf(refute_0_237,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_236:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_238,plain,
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(canonicalize,[],[normalize_0_51]) ).
cnf(refute_0_239,plain,
( ~ cyclic(X_837,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_238:[bind(A,$fot(X_837)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1)),bind(E,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_240,plain,
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(canonicalize,[],[normalize_0_53]) ).
cnf(refute_0_241,plain,
( ~ cyclic(X_833,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| cyclic(X_833,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_240:[bind(A,$fot(X_833)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_242,plain,
( ~ cyclic(X_831,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cyclic(X_831,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_236:[bind(A,$fot(X_831)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_243,plain,
( ~ coll(P,Q,B)
| ~ eqangle(P,A,P,B,Q,A,Q,B)
| cyclic(A,B,P,Q) ),
inference(canonicalize,[],[normalize_0_55]) ).
cnf(refute_0_244,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| ~ eqangle(skolemFOFtoCNF_B_1,X_830,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_830,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| cyclic(X_830,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_243:[bind(A,$fot(X_830)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_245,plain,
eqangle(skolemFOFtoCNF_B_1,X_830,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_830,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_37:[bind(X_823,$fot(skolemFOFtoCNF_B_1)),bind(X_824,$fot(X_830))]]) ).
cnf(refute_0_246,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| cyclic(X_830,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,X_830,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_830,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_245,refute_0_244]) ).
cnf(refute_0_247,plain,
( ~ coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_248,plain,
( ~ coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_F)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_249,plain,
( ~ coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_51:[bind(A,$fot(skolemFOFtoCNF_F)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_250,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_F,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_99,refute_0_249]) ).
cnf(refute_0_251,plain,
coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_F,skolemFOFtoCNF_C_1) )],[refute_0_250,refute_0_248]) ).
cnf(refute_0_252,plain,
coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_251,refute_0_247]) ).
cnf(refute_0_253,plain,
cyclic(X_830,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( coll(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_252,refute_0_246]) ).
cnf(refute_0_254,plain,
cyclic(X_831,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_253:[bind(X_830,$fot(X_831))]]) ).
cnf(refute_0_255,plain,
cyclic(X_831,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(X_831,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_254,refute_0_242]) ).
cnf(refute_0_256,plain,
cyclic(X_833,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_255:[bind(X_831,$fot(X_833))]]) ).
cnf(refute_0_257,plain,
cyclic(X_833,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cyclic(X_833,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_256,refute_0_241]) ).
cnf(refute_0_258,plain,
cyclic(X_837,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_257:[bind(X_833,$fot(X_837))]]) ).
cnf(refute_0_259,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cyclic(X_837,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_258,refute_0_239]) ).
cnf(refute_0_260,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_259,refute_0_237]) ).
cnf(refute_0_261,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_260,refute_0_235]) ).
cnf(refute_0_262,plain,
eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1) )],[refute_0_261,refute_0_233]) ).
cnf(refute_0_263,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_57]) ).
cnf(refute_0_264,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,X_1549,X_1548,D)
| ~ cyclic(skolemFOFtoCNF_C_1,X_1549,X_1548,X_1550)
| cyclic(X_1549,X_1548,D,X_1550) ),
inference(subst,[],[refute_0_238:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_1549)),bind(C,$fot(X_1548)),bind(E,$fot(X_1550))]]) ).
cnf(refute_0_265,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1115,D)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1115,X_1116)
| cyclic(skolemFOFtoCNF_C_1,X_1115,D,X_1116) ),
inference(subst,[],[refute_0_238:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(X_1115)),bind(E,$fot(X_1116))]]) ).
cnf(refute_0_266,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,D)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_921)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,D,X_921) ),
inference(subst,[],[refute_0_238:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(E,$fot(X_921))]]) ).
cnf(refute_0_267,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_900)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_900) ),
inference(subst,[],[refute_0_236:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_900))]]) ).
cnf(refute_0_268,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_839,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_839) ),
inference(subst,[],[refute_0_240:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(X_839)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_269,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_836,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_836,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_236:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_836)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_270,plain,
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(canonicalize,[],[normalize_0_59]) ).
cnf(refute_0_271,plain,
( ~ cyclic(X_833,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,X_833,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_270:[bind(A,$fot(X_833)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_272,plain,
cyclic(skolemFOFtoCNF_B_1,X_833,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(X_833,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_256,refute_0_271]) ).
cnf(refute_0_273,plain,
cyclic(skolemFOFtoCNF_B_1,X_836,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_272:[bind(X_833,$fot(X_836))]]) ).
cnf(refute_0_274,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_836,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_836,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_273,refute_0_269]) ).
cnf(refute_0_275,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_839,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_274:[bind(X_836,$fot(X_839))]]) ).
cnf(refute_0_276,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_839),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_839,skolemFOFtoCNF_B_1) )],[refute_0_275,refute_0_268]) ).
cnf(refute_0_277,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_900),
inference(subst,[],[refute_0_276:[bind(X_839,$fot(X_900))]]) ).
cnf(refute_0_278,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_900),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_900) )],[refute_0_277,refute_0_267]) ).
cnf(refute_0_279,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_921),
inference(subst,[],[refute_0_278:[bind(X_900,$fot(X_921))]]) ).
cnf(refute_0_280,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,D)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,D,X_921) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_921) )],[refute_0_279,refute_0_266]) ).
cnf(refute_0_281,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_902,E)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_902,skolemFOFtoCNF_C_1)
| cyclic(skolemFOFtoCNF_B_1,X_902,skolemFOFtoCNF_C_1,E) ),
inference(subst,[],[refute_0_238:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_902)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_282,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_840,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_840,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_236:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_840)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_283,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_836,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,X_836,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_240:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_836)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_284,plain,
cyclic(skolemFOFtoCNF_B_1,X_836,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_836,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_273,refute_0_283]) ).
cnf(refute_0_285,plain,
cyclic(skolemFOFtoCNF_B_1,X_840,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_284:[bind(X_836,$fot(X_840))]]) ).
cnf(refute_0_286,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_840,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_840,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1) )],[refute_0_285,refute_0_282]) ).
cnf(refute_0_287,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_902,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_286:[bind(X_840,$fot(X_902))]]) ).
cnf(refute_0_288,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_902,E)
| cyclic(skolemFOFtoCNF_B_1,X_902,skolemFOFtoCNF_C_1,E) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_902,skolemFOFtoCNF_C_1) )],[refute_0_287,refute_0_281]) ).
cnf(refute_0_289,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D)
| ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_841)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D,X_841) ),
inference(subst,[],[refute_0_238:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(X_841))]]) ).
cnf(refute_0_290,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_835,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_835) ),
inference(subst,[],[refute_0_240:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_835)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_291,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,X_832,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_832,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_236:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_832)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_292,plain,
( ~ cyclic(X_831,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_C_1,X_831,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_270:[bind(A,$fot(X_831)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_293,plain,
cyclic(skolemFOFtoCNF_C_1,X_831,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(X_831,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_254,refute_0_292]) ).
cnf(refute_0_294,plain,
cyclic(skolemFOFtoCNF_C_1,X_832,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_293:[bind(X_831,$fot(X_832))]]) ).
cnf(refute_0_295,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_832,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,X_832,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_294,refute_0_291]) ).
cnf(refute_0_296,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_835,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_295:[bind(X_832,$fot(X_835))]]) ).
cnf(refute_0_297,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_835),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_835,skolemFOFtoCNF_B_1) )],[refute_0_296,refute_0_290]) ).
cnf(refute_0_298,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_841),
inference(subst,[],[refute_0_297:[bind(X_835,$fot(X_841))]]) ).
cnf(refute_0_299,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D,X_841) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_841) )],[refute_0_298,refute_0_289]) ).
cnf(refute_0_300,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D),
inference(subst,[],[refute_0_297:[bind(X_835,$fot(D))]]) ).
cnf(refute_0_301,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D,X_841),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D) )],[refute_0_300,refute_0_299]) ).
cnf(refute_0_302,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_902,E),
inference(subst,[],[refute_0_301:[bind(D,$fot(X_902)),bind(X_841,$fot(E))]]) ).
cnf(refute_0_303,plain,
cyclic(skolemFOFtoCNF_B_1,X_902,skolemFOFtoCNF_C_1,E),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_902,E) )],[refute_0_302,refute_0_288]) ).
cnf(refute_0_304,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,D),
inference(subst,[],[refute_0_303:[bind(E,$fot(D)),bind(X_902,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_305,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,D,X_921),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,D) )],[refute_0_304,refute_0_280]) ).
cnf(refute_0_306,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1115,X_1116),
inference(subst,[],[refute_0_305:[bind(D,$fot(X_1115)),bind(X_921,$fot(X_1116))]]) ).
cnf(refute_0_307,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1115,D)
| cyclic(skolemFOFtoCNF_C_1,X_1115,D,X_1116) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1115,X_1116) )],[refute_0_306,refute_0_265]) ).
cnf(refute_0_308,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1029,skolemFOFtoCNF_C_1,D)
| ~ cyclic(skolemFOFtoCNF_B_1,X_1029,skolemFOFtoCNF_C_1,X_1028)
| cyclic(X_1029,skolemFOFtoCNF_C_1,D,X_1028) ),
inference(subst,[],[refute_0_238:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1029)),bind(C,$fot(skolemFOFtoCNF_C_1)),bind(E,$fot(X_1028))]]) ).
cnf(refute_0_309,plain,
cyclic(skolemFOFtoCNF_B_1,X_1029,skolemFOFtoCNF_C_1,X_1028),
inference(subst,[],[refute_0_303:[bind(E,$fot(X_1028)),bind(X_902,$fot(X_1029))]]) ).
cnf(refute_0_310,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1029,skolemFOFtoCNF_C_1,D)
| cyclic(X_1029,skolemFOFtoCNF_C_1,D,X_1028) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1029,skolemFOFtoCNF_C_1,X_1028) )],[refute_0_309,refute_0_308]) ).
cnf(refute_0_311,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1027,X_1026,E)
| ~ cyclic(skolemFOFtoCNF_B_1,X_1027,X_1026,skolemFOFtoCNF_C_1)
| cyclic(X_1027,X_1026,skolemFOFtoCNF_C_1,E) ),
inference(subst,[],[refute_0_238:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1027)),bind(C,$fot(X_1026)),bind(D,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_312,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_902,D)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_902,skolemFOFtoCNF_C_1)
| cyclic(skolemFOFtoCNF_B_1,X_902,D,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_238:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_902)),bind(E,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_313,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_902,D)
| cyclic(skolemFOFtoCNF_B_1,X_902,D,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_902,skolemFOFtoCNF_C_1) )],[refute_0_287,refute_0_312]) ).
cnf(refute_0_314,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_902,D),
inference(subst,[],[refute_0_301:[bind(D,$fot(X_902)),bind(X_841,$fot(D))]]) ).
cnf(refute_0_315,plain,
cyclic(skolemFOFtoCNF_B_1,X_902,D,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_902,D) )],[refute_0_314,refute_0_313]) ).
cnf(refute_0_316,plain,
cyclic(skolemFOFtoCNF_B_1,X_1027,X_1026,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_315:[bind(D,$fot(X_1026)),bind(X_902,$fot(X_1027))]]) ).
cnf(refute_0_317,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1027,X_1026,E)
| cyclic(X_1027,X_1026,skolemFOFtoCNF_C_1,E) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1027,X_1026,skolemFOFtoCNF_C_1) )],[refute_0_316,refute_0_311]) ).
cnf(refute_0_318,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_1024,D)
| ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_1024,X_1025)
| cyclic(skolemFOFtoCNF_B_1,X_1024,D,X_1025) ),
inference(subst,[],[refute_0_238:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_1024)),bind(E,$fot(X_1025))]]) ).
cnf(refute_0_319,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,D)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_900)
| cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,D,X_900) ),
inference(subst,[],[refute_0_238:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(X_900))]]) ).
cnf(refute_0_320,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,D)
| cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,D,X_900) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_900) )],[refute_0_277,refute_0_319]) ).
cnf(refute_0_321,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_899,E)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_899,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,X_899,skolemFOFtoCNF_B_1,E) ),
inference(subst,[],[refute_0_238:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_899)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_322,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_838,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_838,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_236:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_838)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_323,plain,
( ~ cyclic(X_834,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,X_834,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_270:[bind(A,$fot(X_834)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_324,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,X_832,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cyclic(X_832,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_238:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_832)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_325,plain,
cyclic(X_832,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,X_832,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_294,refute_0_324]) ).
cnf(refute_0_326,plain,
cyclic(X_834,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_325:[bind(X_832,$fot(X_834))]]) ).
cnf(refute_0_327,plain,
cyclic(skolemFOFtoCNF_B_1,X_834,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(X_834,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_326,refute_0_323]) ).
cnf(refute_0_328,plain,
cyclic(skolemFOFtoCNF_B_1,X_838,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_327:[bind(X_834,$fot(X_838))]]) ).
cnf(refute_0_329,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_838,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_838,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_328,refute_0_322]) ).
cnf(refute_0_330,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_899,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_329:[bind(X_838,$fot(X_899))]]) ).
cnf(refute_0_331,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_899,E)
| cyclic(skolemFOFtoCNF_B_1,X_899,skolemFOFtoCNF_B_1,E) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_899,skolemFOFtoCNF_B_1) )],[refute_0_330,refute_0_321]) ).
cnf(refute_0_332,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_899,E),
inference(subst,[],[refute_0_301:[bind(D,$fot(X_899)),bind(X_841,$fot(E))]]) ).
cnf(refute_0_333,plain,
cyclic(skolemFOFtoCNF_B_1,X_899,skolemFOFtoCNF_B_1,E),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_899,E) )],[refute_0_332,refute_0_331]) ).
cnf(refute_0_334,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,D),
inference(subst,[],[refute_0_333:[bind(E,$fot(D)),bind(X_899,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_335,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,D,X_900),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,D) )],[refute_0_334,refute_0_320]) ).
cnf(refute_0_336,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_1024,X_1025),
inference(subst,[],[refute_0_335:[bind(D,$fot(X_1024)),bind(X_900,$fot(X_1025))]]) ).
cnf(refute_0_337,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_1024,D)
| cyclic(skolemFOFtoCNF_B_1,X_1024,D,X_1025) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_1024,X_1025) )],[refute_0_336,refute_0_318]) ).
cnf(refute_0_338,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1017,skolemFOFtoCNF_B_1,D)
| ~ cyclic(skolemFOFtoCNF_B_1,X_1017,skolemFOFtoCNF_B_1,X_1016)
| cyclic(X_1017,skolemFOFtoCNF_B_1,D,X_1016) ),
inference(subst,[],[refute_0_238:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1017)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(X_1016))]]) ).
cnf(refute_0_339,plain,
cyclic(skolemFOFtoCNF_B_1,X_1017,skolemFOFtoCNF_B_1,X_1016),
inference(subst,[],[refute_0_333:[bind(E,$fot(X_1016)),bind(X_899,$fot(X_1017))]]) ).
cnf(refute_0_340,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1017,skolemFOFtoCNF_B_1,D)
| cyclic(X_1017,skolemFOFtoCNF_B_1,D,X_1016) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1017,skolemFOFtoCNF_B_1,X_1016) )],[refute_0_339,refute_0_338]) ).
cnf(refute_0_341,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1015,X_1014,E)
| ~ cyclic(skolemFOFtoCNF_B_1,X_1015,X_1014,skolemFOFtoCNF_B_1)
| cyclic(X_1015,X_1014,skolemFOFtoCNF_B_1,E) ),
inference(subst,[],[refute_0_238:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1015)),bind(C,$fot(X_1014)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_342,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_899,D)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_899,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,X_899,D,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_238:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_899)),bind(E,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_343,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_899,D)
| cyclic(skolemFOFtoCNF_B_1,X_899,D,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_899,skolemFOFtoCNF_B_1) )],[refute_0_330,refute_0_342]) ).
cnf(refute_0_344,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_899,D),
inference(subst,[],[refute_0_301:[bind(D,$fot(X_899)),bind(X_841,$fot(D))]]) ).
cnf(refute_0_345,plain,
cyclic(skolemFOFtoCNF_B_1,X_899,D,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_899,D) )],[refute_0_344,refute_0_343]) ).
cnf(refute_0_346,plain,
cyclic(skolemFOFtoCNF_B_1,X_1015,X_1014,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_345:[bind(D,$fot(X_1014)),bind(X_899,$fot(X_1015))]]) ).
cnf(refute_0_347,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1015,X_1014,E)
| cyclic(X_1015,X_1014,skolemFOFtoCNF_B_1,E) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1015,X_1014,skolemFOFtoCNF_B_1) )],[refute_0_346,refute_0_341]) ).
cnf(refute_0_348,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1009,D)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1009,X_1010)
| cyclic(skolemFOFtoCNF_B_1,X_1009,D,X_1010) ),
inference(subst,[],[refute_0_238:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_1009)),bind(E,$fot(X_1010))]]) ).
cnf(refute_0_349,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1009,X_1010),
inference(subst,[],[refute_0_301:[bind(D,$fot(X_1009)),bind(X_841,$fot(X_1010))]]) ).
cnf(refute_0_350,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1009,D)
| cyclic(skolemFOFtoCNF_B_1,X_1009,D,X_1010) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1009,X_1010) )],[refute_0_349,refute_0_348]) ).
cnf(refute_0_351,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_904)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D,X_904) ),
inference(subst,[],[refute_0_238:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(X_904))]]) ).
cnf(refute_0_352,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_899,skolemFOFtoCNF_B_1)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_899) ),
inference(subst,[],[refute_0_240:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_899)),bind(D,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_353,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_899),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_899,skolemFOFtoCNF_B_1) )],[refute_0_330,refute_0_352]) ).
cnf(refute_0_354,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_904),
inference(subst,[],[refute_0_353:[bind(X_899,$fot(X_904))]]) ).
cnf(refute_0_355,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D,X_904) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_904) )],[refute_0_354,refute_0_351]) ).
cnf(refute_0_356,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_903,E)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_903,X_903)
| cyclic(skolemFOFtoCNF_B_1,X_903,X_903,E) ),
inference(subst,[],[refute_0_238:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_903)),bind(D,$fot(X_903))]]) ).
cnf(refute_0_357,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_841)
| cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_841,X_841) ),
inference(subst,[],[refute_0_238:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_841)),bind(E,$fot(X_841))]]) ).
cnf(refute_0_358,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_841,X_841),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_841) )],[refute_0_298,refute_0_357]) ).
cnf(refute_0_359,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_903,X_903),
inference(subst,[],[refute_0_358:[bind(X_841,$fot(X_903))]]) ).
cnf(refute_0_360,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_903,E)
| cyclic(skolemFOFtoCNF_B_1,X_903,X_903,E) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_903,X_903) )],[refute_0_359,refute_0_356]) ).
cnf(refute_0_361,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_903,E),
inference(subst,[],[refute_0_301:[bind(D,$fot(X_903)),bind(X_841,$fot(E))]]) ).
cnf(refute_0_362,plain,
cyclic(skolemFOFtoCNF_B_1,X_903,X_903,E),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_903,E) )],[refute_0_361,refute_0_360]) ).
cnf(refute_0_363,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D),
inference(subst,[],[refute_0_362:[bind(E,$fot(D)),bind(X_903,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_364,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D,X_904),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,D) )],[refute_0_363,refute_0_355]) ).
cnf(refute_0_365,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1009,D),
inference(subst,[],[refute_0_364:[bind(D,$fot(X_1009)),bind(X_904,$fot(D))]]) ).
cnf(refute_0_366,plain,
cyclic(skolemFOFtoCNF_B_1,X_1009,D,X_1010),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1009,D) )],[refute_0_365,refute_0_350]) ).
cnf(refute_0_367,plain,
cyclic(skolemFOFtoCNF_B_1,X_1015,X_1014,E),
inference(subst,[],[refute_0_366:[bind(D,$fot(X_1014)),bind(X_1009,$fot(X_1015)),bind(X_1010,$fot(E))]]) ).
cnf(refute_0_368,plain,
cyclic(X_1015,X_1014,skolemFOFtoCNF_B_1,E),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1015,X_1014,E) )],[refute_0_367,refute_0_347]) ).
cnf(refute_0_369,plain,
cyclic(skolemFOFtoCNF_B_1,X_1017,skolemFOFtoCNF_B_1,D),
inference(subst,[],[refute_0_368:[bind(E,$fot(D)),bind(X_1014,$fot(X_1017)),bind(X_1015,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_370,plain,
cyclic(X_1017,skolemFOFtoCNF_B_1,D,X_1016),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1017,skolemFOFtoCNF_B_1,D) )],[refute_0_369,refute_0_340]) ).
cnf(refute_0_371,plain,
cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_1024,D),
inference(subst,[],[refute_0_370:[bind(D,$fot(X_1024)),bind(X_1016,$fot(D)),bind(X_1017,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_372,plain,
cyclic(skolemFOFtoCNF_B_1,X_1024,D,X_1025),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_1024,D) )],[refute_0_371,refute_0_337]) ).
cnf(refute_0_373,plain,
cyclic(skolemFOFtoCNF_B_1,X_1027,X_1026,E),
inference(subst,[],[refute_0_372:[bind(D,$fot(X_1026)),bind(X_1024,$fot(X_1027)),bind(X_1025,$fot(E))]]) ).
cnf(refute_0_374,plain,
cyclic(X_1027,X_1026,skolemFOFtoCNF_C_1,E),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1027,X_1026,E) )],[refute_0_373,refute_0_317]) ).
cnf(refute_0_375,plain,
cyclic(skolemFOFtoCNF_B_1,X_1029,skolemFOFtoCNF_C_1,D),
inference(subst,[],[refute_0_374:[bind(E,$fot(D)),bind(X_1026,$fot(X_1029)),bind(X_1027,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_376,plain,
cyclic(X_1029,skolemFOFtoCNF_C_1,D,X_1028),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1029,skolemFOFtoCNF_C_1,D) )],[refute_0_375,refute_0_310]) ).
cnf(refute_0_377,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1115,D),
inference(subst,[],[refute_0_376:[bind(D,$fot(X_1115)),bind(X_1028,$fot(D)),bind(X_1029,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_378,plain,
cyclic(skolemFOFtoCNF_C_1,X_1115,D,X_1116),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_1115,D) )],[refute_0_377,refute_0_307]) ).
cnf(refute_0_379,plain,
cyclic(skolemFOFtoCNF_C_1,X_1549,X_1548,X_1550),
inference(subst,[],[refute_0_378:[bind(D,$fot(X_1548)),bind(X_1115,$fot(X_1549)),bind(X_1116,$fot(X_1550))]]) ).
cnf(refute_0_380,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,X_1549,X_1548,D)
| cyclic(X_1549,X_1548,D,X_1550) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,X_1549,X_1548,X_1550) )],[refute_0_379,refute_0_264]) ).
cnf(refute_0_381,plain,
( ~ cyclic(X_1488,X_1487,X_1488,D)
| ~ cyclic(X_1488,X_1487,X_1488,X_1486)
| cyclic(X_1487,X_1488,D,X_1486) ),
inference(subst,[],[refute_0_238:[bind(A,$fot(X_1488)),bind(B,$fot(X_1487)),bind(C,$fot(X_1488)),bind(E,$fot(X_1486))]]) ).
cnf(refute_0_382,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1032,X_1031,E)
| ~ cyclic(skolemFOFtoCNF_B_1,X_1032,X_1031,X_1032)
| cyclic(X_1032,X_1031,X_1032,E) ),
inference(subst,[],[refute_0_238:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1032)),bind(C,$fot(X_1031)),bind(D,$fot(X_1032))]]) ).
cnf(refute_0_383,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_903,D)
| ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_903,X_903)
| cyclic(skolemFOFtoCNF_B_1,X_903,D,X_903) ),
inference(subst,[],[refute_0_238:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_903)),bind(E,$fot(X_903))]]) ).
cnf(refute_0_384,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_903,D)
| cyclic(skolemFOFtoCNF_B_1,X_903,D,X_903) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_903,X_903) )],[refute_0_359,refute_0_383]) ).
cnf(refute_0_385,plain,
cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_903,D),
inference(subst,[],[refute_0_301:[bind(D,$fot(X_903)),bind(X_841,$fot(D))]]) ).
cnf(refute_0_386,plain,
cyclic(skolemFOFtoCNF_B_1,X_903,D,X_903),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_903,D) )],[refute_0_385,refute_0_384]) ).
cnf(refute_0_387,plain,
cyclic(skolemFOFtoCNF_B_1,X_1032,X_1031,X_1032),
inference(subst,[],[refute_0_386:[bind(D,$fot(X_1031)),bind(X_903,$fot(X_1032))]]) ).
cnf(refute_0_388,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1032,X_1031,E)
| cyclic(X_1032,X_1031,X_1032,E) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1032,X_1031,X_1032) )],[refute_0_387,refute_0_382]) ).
cnf(refute_0_389,plain,
cyclic(skolemFOFtoCNF_B_1,X_1032,X_1031,E),
inference(subst,[],[refute_0_372:[bind(D,$fot(X_1031)),bind(X_1024,$fot(X_1032)),bind(X_1025,$fot(E))]]) ).
cnf(refute_0_390,plain,
cyclic(X_1032,X_1031,X_1032,E),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1032,X_1031,E) )],[refute_0_389,refute_0_388]) ).
cnf(refute_0_391,plain,
cyclic(X_1488,X_1487,X_1488,X_1486),
inference(subst,[],[refute_0_390:[bind(E,$fot(X_1486)),bind(X_1031,$fot(X_1487)),bind(X_1032,$fot(X_1488))]]) ).
cnf(refute_0_392,plain,
( ~ cyclic(X_1488,X_1487,X_1488,D)
| cyclic(X_1487,X_1488,D,X_1486) ),
inference(resolve,[$cnf( cyclic(X_1488,X_1487,X_1488,X_1486) )],[refute_0_391,refute_0_381]) ).
cnf(refute_0_393,plain,
( ~ cyclic(X_1485,X_1484,X_1483,D)
| ~ cyclic(X_1485,X_1484,X_1483,X_1485)
| cyclic(X_1484,X_1483,D,X_1485) ),
inference(subst,[],[refute_0_238:[bind(A,$fot(X_1485)),bind(B,$fot(X_1484)),bind(C,$fot(X_1483)),bind(E,$fot(X_1485))]]) ).
cnf(refute_0_394,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1032,X_1031,D)
| ~ cyclic(skolemFOFtoCNF_B_1,X_1032,X_1031,X_1032)
| cyclic(X_1032,X_1031,D,X_1032) ),
inference(subst,[],[refute_0_238:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1032)),bind(C,$fot(X_1031)),bind(E,$fot(X_1032))]]) ).
cnf(refute_0_395,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1032,X_1031,D)
| cyclic(X_1032,X_1031,D,X_1032) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1032,X_1031,X_1032) )],[refute_0_387,refute_0_394]) ).
cnf(refute_0_396,plain,
cyclic(skolemFOFtoCNF_B_1,X_1032,X_1031,D),
inference(subst,[],[refute_0_372:[bind(D,$fot(X_1031)),bind(X_1024,$fot(X_1032)),bind(X_1025,$fot(D))]]) ).
cnf(refute_0_397,plain,
cyclic(X_1032,X_1031,D,X_1032),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1032,X_1031,D) )],[refute_0_396,refute_0_395]) ).
cnf(refute_0_398,plain,
cyclic(X_1485,X_1484,X_1483,X_1485),
inference(subst,[],[refute_0_397:[bind(D,$fot(X_1483)),bind(X_1031,$fot(X_1484)),bind(X_1032,$fot(X_1485))]]) ).
cnf(refute_0_399,plain,
( ~ cyclic(X_1485,X_1484,X_1483,D)
| cyclic(X_1484,X_1483,D,X_1485) ),
inference(resolve,[$cnf( cyclic(X_1485,X_1484,X_1483,X_1485) )],[refute_0_398,refute_0_393]) ).
cnf(refute_0_400,plain,
( ~ cyclic(X_1445,X_1445,X_1443,D)
| ~ cyclic(X_1445,X_1445,X_1443,X_1444)
| cyclic(X_1445,X_1443,D,X_1444) ),
inference(subst,[],[refute_0_238:[bind(A,$fot(X_1445)),bind(B,$fot(X_1445)),bind(C,$fot(X_1443)),bind(E,$fot(X_1444))]]) ).
cnf(refute_0_401,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1034,X_1034,D)
| ~ cyclic(skolemFOFtoCNF_B_1,X_1034,X_1034,X_1033)
| cyclic(X_1034,X_1034,D,X_1033) ),
inference(subst,[],[refute_0_238:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1034)),bind(C,$fot(X_1034)),bind(E,$fot(X_1033))]]) ).
cnf(refute_0_402,plain,
cyclic(skolemFOFtoCNF_B_1,X_1034,X_1034,X_1033),
inference(subst,[],[refute_0_362:[bind(E,$fot(X_1033)),bind(X_903,$fot(X_1034))]]) ).
cnf(refute_0_403,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1034,X_1034,D)
| cyclic(X_1034,X_1034,D,X_1033) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1034,X_1034,X_1033) )],[refute_0_402,refute_0_401]) ).
cnf(refute_0_404,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1032,X_1031,X_1032)
| cyclic(skolemFOFtoCNF_B_1,X_1032,X_1032,X_1031) ),
inference(subst,[],[refute_0_240:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1032)),bind(C,$fot(X_1031)),bind(D,$fot(X_1032))]]) ).
cnf(refute_0_405,plain,
cyclic(skolemFOFtoCNF_B_1,X_1032,X_1032,X_1031),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1032,X_1031,X_1032) )],[refute_0_387,refute_0_404]) ).
cnf(refute_0_406,plain,
cyclic(skolemFOFtoCNF_B_1,X_1034,X_1034,D),
inference(subst,[],[refute_0_405:[bind(X_1031,$fot(D)),bind(X_1032,$fot(X_1034))]]) ).
cnf(refute_0_407,plain,
cyclic(X_1034,X_1034,D,X_1033),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1034,X_1034,D) )],[refute_0_406,refute_0_403]) ).
cnf(refute_0_408,plain,
cyclic(X_1445,X_1445,X_1443,X_1444),
inference(subst,[],[refute_0_407:[bind(D,$fot(X_1443)),bind(X_1033,$fot(X_1444)),bind(X_1034,$fot(X_1445))]]) ).
cnf(refute_0_409,plain,
( ~ cyclic(X_1445,X_1445,X_1443,D)
| cyclic(X_1445,X_1443,D,X_1444) ),
inference(resolve,[$cnf( cyclic(X_1445,X_1445,X_1443,X_1444) )],[refute_0_408,refute_0_400]) ).
cnf(refute_0_410,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1341,X_1340,D)
| ~ cyclic(skolemFOFtoCNF_B_1,X_1341,X_1340,X_1342)
| cyclic(X_1341,X_1340,D,X_1342) ),
inference(subst,[],[refute_0_238:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1341)),bind(C,$fot(X_1340)),bind(E,$fot(X_1342))]]) ).
cnf(refute_0_411,plain,
cyclic(skolemFOFtoCNF_B_1,X_1341,X_1340,X_1342),
inference(subst,[],[refute_0_366:[bind(D,$fot(X_1340)),bind(X_1009,$fot(X_1341)),bind(X_1010,$fot(X_1342))]]) ).
cnf(refute_0_412,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1341,X_1340,D)
| cyclic(X_1341,X_1340,D,X_1342) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1341,X_1340,X_1342) )],[refute_0_411,refute_0_410]) ).
cnf(refute_0_413,plain,
( ~ cyclic(X_1166,skolemFOFtoCNF_B_1,X_1165,D)
| ~ cyclic(X_1166,skolemFOFtoCNF_B_1,X_1165,X_1166)
| cyclic(skolemFOFtoCNF_B_1,X_1165,D,X_1166) ),
inference(subst,[],[refute_0_238:[bind(A,$fot(X_1166)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_1165)),bind(E,$fot(X_1166))]]) ).
cnf(refute_0_414,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_928,skolemFOFtoCNF_B_1,D)
| ~ cyclic(skolemFOFtoCNF_B_1,X_928,skolemFOFtoCNF_B_1,X_928)
| cyclic(X_928,skolemFOFtoCNF_B_1,D,X_928) ),
inference(subst,[],[refute_0_238:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_928)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(X_928))]]) ).
cnf(refute_0_415,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_903,X_903)
| cyclic(skolemFOFtoCNF_B_1,X_903,skolemFOFtoCNF_B_1,X_903) ),
inference(subst,[],[refute_0_236:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_903)),bind(D,$fot(X_903))]]) ).
cnf(refute_0_416,plain,
cyclic(skolemFOFtoCNF_B_1,X_903,skolemFOFtoCNF_B_1,X_903),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_903,X_903) )],[refute_0_359,refute_0_415]) ).
cnf(refute_0_417,plain,
cyclic(skolemFOFtoCNF_B_1,X_928,skolemFOFtoCNF_B_1,X_928),
inference(subst,[],[refute_0_416:[bind(X_903,$fot(X_928))]]) ).
cnf(refute_0_418,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_928,skolemFOFtoCNF_B_1,D)
| cyclic(X_928,skolemFOFtoCNF_B_1,D,X_928) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_928,skolemFOFtoCNF_B_1,X_928) )],[refute_0_417,refute_0_414]) ).
cnf(refute_0_419,plain,
cyclic(skolemFOFtoCNF_B_1,X_928,skolemFOFtoCNF_B_1,D),
inference(subst,[],[refute_0_333:[bind(E,$fot(D)),bind(X_899,$fot(X_928))]]) ).
cnf(refute_0_420,plain,
cyclic(X_928,skolemFOFtoCNF_B_1,D,X_928),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_928,skolemFOFtoCNF_B_1,D) )],[refute_0_419,refute_0_418]) ).
cnf(refute_0_421,plain,
cyclic(X_1166,skolemFOFtoCNF_B_1,X_1165,X_1166),
inference(subst,[],[refute_0_420:[bind(D,$fot(X_1165)),bind(X_928,$fot(X_1166))]]) ).
cnf(refute_0_422,plain,
( ~ cyclic(X_1166,skolemFOFtoCNF_B_1,X_1165,D)
| cyclic(skolemFOFtoCNF_B_1,X_1165,D,X_1166) ),
inference(resolve,[$cnf( cyclic(X_1166,skolemFOFtoCNF_B_1,X_1165,X_1166) )],[refute_0_421,refute_0_413]) ).
cnf(refute_0_423,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,X_1131,skolemFOFtoCNF_B_1,D)
| ~ cyclic(skolemFOFtoCNF_C_1,X_1131,skolemFOFtoCNF_B_1,X_1132)
| cyclic(X_1131,skolemFOFtoCNF_B_1,D,X_1132) ),
inference(subst,[],[refute_0_238:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(X_1131)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(X_1132))]]) ).
cnf(refute_0_424,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_1024,X_1025)
| cyclic(skolemFOFtoCNF_C_1,X_1024,skolemFOFtoCNF_B_1,X_1025) ),
inference(subst,[],[refute_0_236:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(X_1024)),bind(D,$fot(X_1025))]]) ).
cnf(refute_0_425,plain,
cyclic(skolemFOFtoCNF_C_1,X_1024,skolemFOFtoCNF_B_1,X_1025),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,X_1024,X_1025) )],[refute_0_336,refute_0_424]) ).
cnf(refute_0_426,plain,
cyclic(skolemFOFtoCNF_C_1,X_1131,skolemFOFtoCNF_B_1,X_1132),
inference(subst,[],[refute_0_425:[bind(X_1024,$fot(X_1131)),bind(X_1025,$fot(X_1132))]]) ).
cnf(refute_0_427,plain,
( ~ cyclic(skolemFOFtoCNF_C_1,X_1131,skolemFOFtoCNF_B_1,D)
| cyclic(X_1131,skolemFOFtoCNF_B_1,D,X_1132) ),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,X_1131,skolemFOFtoCNF_B_1,X_1132) )],[refute_0_426,refute_0_423]) ).
cnf(refute_0_428,plain,
cyclic(skolemFOFtoCNF_C_1,X_1131,skolemFOFtoCNF_B_1,D),
inference(subst,[],[refute_0_368:[bind(E,$fot(D)),bind(X_1014,$fot(X_1131)),bind(X_1015,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_429,plain,
cyclic(X_1131,skolemFOFtoCNF_B_1,D,X_1132),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,X_1131,skolemFOFtoCNF_B_1,D) )],[refute_0_428,refute_0_427]) ).
cnf(refute_0_430,plain,
cyclic(X_1166,skolemFOFtoCNF_B_1,X_1165,D),
inference(subst,[],[refute_0_429:[bind(D,$fot(X_1165)),bind(X_1131,$fot(X_1166)),bind(X_1132,$fot(D))]]) ).
cnf(refute_0_431,plain,
cyclic(skolemFOFtoCNF_B_1,X_1165,D,X_1166),
inference(resolve,[$cnf( cyclic(X_1166,skolemFOFtoCNF_B_1,X_1165,D) )],[refute_0_430,refute_0_422]) ).
cnf(refute_0_432,plain,
cyclic(skolemFOFtoCNF_B_1,X_1341,X_1340,D),
inference(subst,[],[refute_0_431:[bind(D,$fot(X_1340)),bind(X_1165,$fot(X_1341)),bind(X_1166,$fot(D))]]) ).
cnf(refute_0_433,plain,
cyclic(X_1341,X_1340,D,X_1342),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1341,X_1340,D) )],[refute_0_432,refute_0_412]) ).
cnf(refute_0_434,plain,
cyclic(X_1445,X_1445,X_1443,D),
inference(subst,[],[refute_0_433:[bind(D,$fot(X_1443)),bind(X_1340,$fot(X_1445)),bind(X_1341,$fot(X_1445)),bind(X_1342,$fot(D))]]) ).
cnf(refute_0_435,plain,
cyclic(X_1445,X_1443,D,X_1444),
inference(resolve,[$cnf( cyclic(X_1445,X_1445,X_1443,D) )],[refute_0_434,refute_0_409]) ).
cnf(refute_0_436,plain,
cyclic(X_1485,X_1484,X_1483,D),
inference(subst,[],[refute_0_435:[bind(D,$fot(X_1483)),bind(X_1443,$fot(X_1484)),bind(X_1444,$fot(D)),bind(X_1445,$fot(X_1485))]]) ).
cnf(refute_0_437,plain,
cyclic(X_1484,X_1483,D,X_1485),
inference(resolve,[$cnf( cyclic(X_1485,X_1484,X_1483,D) )],[refute_0_436,refute_0_399]) ).
cnf(refute_0_438,plain,
cyclic(X_1488,X_1487,X_1488,D),
inference(subst,[],[refute_0_437:[bind(D,$fot(X_1488)),bind(X_1483,$fot(X_1487)),bind(X_1484,$fot(X_1488)),bind(X_1485,$fot(D))]]) ).
cnf(refute_0_439,plain,
cyclic(X_1487,X_1488,D,X_1486),
inference(resolve,[$cnf( cyclic(X_1488,X_1487,X_1488,D) )],[refute_0_438,refute_0_392]) ).
cnf(refute_0_440,plain,
cyclic(skolemFOFtoCNF_C_1,X_1549,X_1548,D),
inference(subst,[],[refute_0_439:[bind(D,$fot(X_1548)),bind(X_1486,$fot(D)),bind(X_1487,$fot(skolemFOFtoCNF_C_1)),bind(X_1488,$fot(X_1549))]]) ).
cnf(refute_0_441,plain,
cyclic(X_1549,X_1548,D,X_1550),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_C_1,X_1549,X_1548,D) )],[refute_0_440,refute_0_380]) ).
cnf(refute_0_442,plain,
cyclic(A,B,C,P),
inference(subst,[],[refute_0_441:[bind(D,$fot(C)),bind(X_1548,$fot(B)),bind(X_1549,$fot(A)),bind(X_1550,$fot(P))]]) ).
cnf(refute_0_443,plain,
( ~ cyclic(A,B,C,Q)
| ~ cyclic(A,B,C,R)
| ~ eqangle(C,A,C,B,R,P,R,Q)
| cong(A,B,P,Q) ),
inference(resolve,[$cnf( cyclic(A,B,C,P) )],[refute_0_442,refute_0_263]) ).
cnf(refute_0_444,plain,
cyclic(A,B,C,Q),
inference(subst,[],[refute_0_441:[bind(D,$fot(C)),bind(X_1548,$fot(B)),bind(X_1549,$fot(A)),bind(X_1550,$fot(Q))]]) ).
cnf(refute_0_445,plain,
( ~ cyclic(A,B,C,R)
| ~ eqangle(C,A,C,B,R,P,R,Q)
| cong(A,B,P,Q) ),
inference(resolve,[$cnf( cyclic(A,B,C,Q) )],[refute_0_444,refute_0_443]) ).
cnf(refute_0_446,plain,
cyclic(A,B,C,R),
inference(subst,[],[refute_0_441:[bind(D,$fot(C)),bind(X_1548,$fot(B)),bind(X_1549,$fot(A)),bind(X_1550,$fot(R))]]) ).
cnf(refute_0_447,plain,
( ~ eqangle(C,A,C,B,R,P,R,Q)
| cong(A,B,P,Q) ),
inference(resolve,[$cnf( cyclic(A,B,C,R) )],[refute_0_446,refute_0_445]) ).
cnf(refute_0_448,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1)
| cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_447:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(skolemFOFtoCNF_C_1)),bind(Q,$fot(skolemFOFtoCNF_B_1)),bind(R,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_449,plain,
cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_262,refute_0_448]) ).
cnf(refute_0_450,plain,
cong(skolemFOFtoCNF_B_1,X_6854,skolemFOFtoCNF_C_1,X_6854),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,skolemFOFtoCNF_B_1) )],[refute_0_449,refute_0_232]) ).
cnf(refute_0_451,plain,
cong(skolemFOFtoCNF_B_1,X_7203,skolemFOFtoCNF_C_1,X_7203),
inference(subst,[],[refute_0_450:[bind(X_6854,$fot(X_7203))]]) ).
cnf(refute_0_452,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_7203,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,X_7203,skolemFOFtoCNF_C_1,X_7203) )],[refute_0_451,refute_0_207]) ).
cnf(refute_0_453,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_7287,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_452:[bind(X_7203,$fot(X_7287))]]) ).
cnf(refute_0_454,plain,
( ~ cong(skolemFOFtoCNF_B_1,P,X_7287,P)
| perp(skolemFOFtoCNF_B_1,X_7287,P,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_1,X_7287,skolemFOFtoCNF_C_1) )],[refute_0_453,refute_0_2]) ).
cnf(refute_0_455,plain,
( ~ midp(M,A,C)
| ~ perp(A,B,B,C)
| cong(A,M,B,M) ),
inference(canonicalize,[],[normalize_0_61]) ).
cnf(refute_0_456,plain,
( ~ midp(X_7252,X_7253,X_7252)
| ~ perp(X_7253,B,B,X_7252)
| cong(X_7253,X_7252,B,X_7252) ),
inference(subst,[],[refute_0_455:[bind(A,$fot(X_7253)),bind(C,$fot(X_7252)),bind(M,$fot(X_7252))]]) ).
cnf(refute_0_457,plain,
para(X_3711,X_3712,X_3711,X_3712),
inference(subst,[],[refute_0_39:[bind(X_829,$fot(X_3711)),bind(X_830,$fot(X_3712))]]) ).
cnf(refute_0_458,plain,
( ~ coll(F,A,C)
| ~ midp(E,A,B)
| ~ para(E,F,B,C)
| midp(F,A,C) ),
inference(canonicalize,[],[normalize_0_63]) ).
cnf(refute_0_459,plain,
coll(F,A,C),
inference(subst,[],[refute_0_188:[bind(C,$fot(F)),bind(X_992,$fot(C)),bind(X_993,$fot(A))]]) ).
cnf(refute_0_460,plain,
( ~ midp(E,A,B)
| ~ para(E,F,B,C)
| midp(F,A,C) ),
inference(resolve,[$cnf( coll(F,A,C) )],[refute_0_459,refute_0_458]) ).
cnf(refute_0_461,plain,
( ~ midp(X_3711,X_3710,X_3711)
| ~ para(X_3711,X_3712,X_3711,X_3712)
| midp(X_3712,X_3710,X_3712) ),
inference(subst,[],[refute_0_460:[bind(A,$fot(X_3710)),bind(B,$fot(X_3711)),bind(C,$fot(X_3712)),bind(E,$fot(X_3711)),bind(F,$fot(X_3712))]]) ).
cnf(refute_0_462,plain,
( ~ midp(X_3711,X_3710,X_3711)
| midp(X_3712,X_3710,X_3712) ),
inference(resolve,[$cnf( para(X_3711,X_3712,X_3711,X_3712) )],[refute_0_457,refute_0_461]) ).
cnf(refute_0_463,plain,
( ~ midp(skolemFOFtoCNF_B_1,X_7189,skolemFOFtoCNF_B_1)
| midp(X_3712,X_7189,X_3712) ),
inference(subst,[],[refute_0_462:[bind(X_3710,$fot(X_7189)),bind(X_3711,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_464,plain,
( ~ cyclic(X_1715,X_1714,X_1713,X_1716)
| eqangle(X_1713,X_1715,X_1713,X_1714,X_1716,X_1715,X_1716,X_1714) ),
inference(subst,[],[refute_0_234:[bind(A,$fot(X_1715)),bind(B,$fot(X_1714)),bind(P,$fot(X_1713)),bind(Q,$fot(X_1716))]]) ).
cnf(refute_0_465,plain,
cyclic(X_1715,X_1714,X_1713,X_1716),
inference(subst,[],[refute_0_433:[bind(D,$fot(X_1713)),bind(X_1340,$fot(X_1714)),bind(X_1341,$fot(X_1715)),bind(X_1342,$fot(X_1716))]]) ).
cnf(refute_0_466,plain,
eqangle(X_1713,X_1715,X_1713,X_1714,X_1716,X_1715,X_1716,X_1714),
inference(resolve,[$cnf( cyclic(X_1715,X_1714,X_1713,X_1716) )],[refute_0_465,refute_0_464]) ).
cnf(refute_0_467,plain,
eqangle(X_6119,X_6120,X_6119,X_6122,X_6123,X_6120,X_6123,X_6122),
inference(subst,[],[refute_0_466:[bind(X_1713,$fot(X_6119)),bind(X_1714,$fot(X_6122)),bind(X_1715,$fot(X_6120)),bind(X_1716,$fot(X_6123))]]) ).
cnf(refute_0_468,plain,
( ~ circle(O,A,B,C)
| ~ coll(M,B,C)
| ~ eqangle(A,B,A,C,O,B,O,M)
| midp(M,B,C) ),
inference(canonicalize,[],[normalize_0_65]) ).
cnf(refute_0_469,plain,
coll(M,B,C),
inference(subst,[],[refute_0_188:[bind(C,$fot(M)),bind(X_992,$fot(C)),bind(X_993,$fot(B))]]) ).
cnf(refute_0_470,plain,
( ~ circle(O,A,B,C)
| ~ eqangle(A,B,A,C,O,B,O,M)
| midp(M,B,C) ),
inference(resolve,[$cnf( coll(M,B,C) )],[refute_0_469,refute_0_468]) ).
cnf(refute_0_471,plain,
( ~ circle(X_6123,X_6119,X_6120,X_6122)
| ~ eqangle(X_6119,X_6120,X_6119,X_6122,X_6123,X_6120,X_6123,X_6122)
| midp(X_6122,X_6120,X_6122) ),
inference(subst,[],[refute_0_470:[bind(A,$fot(X_6119)),bind(B,$fot(X_6120)),bind(C,$fot(X_6122)),bind(M,$fot(X_6122)),bind(O,$fot(X_6123))]]) ).
cnf(refute_0_472,plain,
( ~ circle(X_6123,X_6119,X_6120,X_6122)
| midp(X_6122,X_6120,X_6122) ),
inference(resolve,[$cnf( eqangle(X_6119,X_6120,X_6119,X_6122,X_6123,X_6120,X_6123,X_6122) )],[refute_0_467,refute_0_471]) ).
cnf(refute_0_473,plain,
( ~ circle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_7188,skolemFOFtoCNF_B_1)
| midp(skolemFOFtoCNF_B_1,X_7188,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_472:[bind(X_6119,$fot(skolemFOFtoCNF_B_1)),bind(X_6120,$fot(X_7188)),bind(X_6122,$fot(skolemFOFtoCNF_B_1)),bind(X_6123,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_474,plain,
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(canonicalize,[],[normalize_0_67]) ).
cnf(refute_0_475,plain,
( ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,B)
| ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| circle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,B,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_474:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(O,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_476,plain,
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(A,B,P,Q,C,D,U,V) ),
inference(canonicalize,[],[normalize_0_69]) ).
cnf(refute_0_477,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,X_1030,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1030,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| eqangle(skolemFOFtoCNF_B_1,X_1030,skolemFOFtoCNF_B_1,X_1030,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_476:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1030)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(X_1030)),bind(U,$fot(skolemFOFtoCNF_B_1)),bind(V,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_478,plain,
( ~ cyclic(X_834,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| eqangle(skolemFOFtoCNF_B_1,X_834,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_834,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_234:[bind(A,$fot(X_834)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_479,plain,
eqangle(skolemFOFtoCNF_B_1,X_834,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_834,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(X_834,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_326,refute_0_478]) ).
cnf(refute_0_480,plain,
eqangle(skolemFOFtoCNF_B_1,X_1030,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1030,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_479:[bind(X_834,$fot(X_1030))]]) ).
cnf(refute_0_481,plain,
eqangle(skolemFOFtoCNF_B_1,X_1030,skolemFOFtoCNF_B_1,X_1030,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,X_1030,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_1030,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_480,refute_0_477]) ).
cnf(refute_0_482,plain,
eqangle(skolemFOFtoCNF_B_1,X_7156,skolemFOFtoCNF_B_1,X_7156,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_481:[bind(X_1030,$fot(X_7156))]]) ).
cnf(refute_0_483,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,X_7156,skolemFOFtoCNF_B_1,X_7156,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cong(X_7156,X_7156,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_447:[bind(A,$fot(X_7156)),bind(B,$fot(X_7156)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1)),bind(R,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_484,plain,
cong(X_7156,X_7156,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,X_7156,skolemFOFtoCNF_B_1,X_7156,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_482,refute_0_483]) ).
cnf(refute_0_485,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_484:[bind(X_7156,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_486,plain,
( ~ cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,B)
| circle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,B,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_485,refute_0_475]) ).
cnf(refute_0_487,plain,
( ~ cong(X_6661,X_6662,X_6661,X_6662)
| ~ eqratio(X_6663,X_6662,X_6663,X_6661,X_6661,X_6662,X_6661,X_6662)
| cong(X_6663,X_6662,X_6663,X_6661) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(X_6663)),bind(B,$fot(X_6662)),bind(C,$fot(X_6663)),bind(D,$fot(X_6661)),bind(P,$fot(X_6661)),bind(Q,$fot(X_6662)),bind(U,$fot(X_6661)),bind(V,$fot(X_6662))]]) ).
cnf(refute_0_488,plain,
( ~ eqratio(X_6581,X_6582,X_6581,X_6582,X_6583,X_6582,X_6583,X_6581)
| eqratio(X_6583,X_6582,X_6583,X_6581,X_6581,X_6582,X_6581,X_6582) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_6581)),bind(B,$fot(X_6582)),bind(C,$fot(X_6581)),bind(D,$fot(X_6582)),bind(P,$fot(X_6583)),bind(Q,$fot(X_6582)),bind(U,$fot(X_6583)),bind(V,$fot(X_6581))]]) ).
cnf(refute_0_489,plain,
( ~ eqratio(X_6542,X_6541,X_6541,X_6542,X_6543,X_6542,X_6543,X_6541)
| eqratio(X_6541,X_6542,X_6541,X_6542,X_6543,X_6542,X_6543,X_6541) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(X_6542)),bind(B,$fot(X_6541)),bind(C,$fot(X_6541)),bind(D,$fot(X_6542)),bind(P,$fot(X_6543)),bind(Q,$fot(X_6542)),bind(U,$fot(X_6543)),bind(V,$fot(X_6541))]]) ).
cnf(refute_0_490,plain,
( ~ eqratio(X_6499,X_6498,X_6499,X_6497,X_6498,X_6497,X_6497,X_6498)
| eqratio(X_6498,X_6497,X_6497,X_6498,X_6499,X_6498,X_6499,X_6497) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_6499)),bind(B,$fot(X_6498)),bind(C,$fot(X_6499)),bind(D,$fot(X_6497)),bind(P,$fot(X_6498)),bind(Q,$fot(X_6497)),bind(U,$fot(X_6497)),bind(V,$fot(X_6498))]]) ).
cnf(refute_0_491,plain,
eqratio(X_6498,X_6497,X_6497,X_6498,X_6499,X_6498,X_6499,X_6497),
inference(resolve,[$cnf( eqratio(X_6499,X_6498,X_6499,X_6497,X_6498,X_6497,X_6497,X_6498) )],[refute_0_218,refute_0_490]) ).
cnf(refute_0_492,plain,
eqratio(X_6542,X_6541,X_6541,X_6542,X_6543,X_6542,X_6543,X_6541),
inference(subst,[],[refute_0_491:[bind(X_6497,$fot(X_6541)),bind(X_6498,$fot(X_6542)),bind(X_6499,$fot(X_6543))]]) ).
cnf(refute_0_493,plain,
eqratio(X_6541,X_6542,X_6541,X_6542,X_6543,X_6542,X_6543,X_6541),
inference(resolve,[$cnf( eqratio(X_6542,X_6541,X_6541,X_6542,X_6543,X_6542,X_6543,X_6541) )],[refute_0_492,refute_0_489]) ).
cnf(refute_0_494,plain,
eqratio(X_6581,X_6582,X_6581,X_6582,X_6583,X_6582,X_6583,X_6581),
inference(subst,[],[refute_0_493:[bind(X_6541,$fot(X_6581)),bind(X_6542,$fot(X_6582)),bind(X_6543,$fot(X_6583))]]) ).
cnf(refute_0_495,plain,
eqratio(X_6583,X_6582,X_6583,X_6581,X_6581,X_6582,X_6581,X_6582),
inference(resolve,[$cnf( eqratio(X_6581,X_6582,X_6581,X_6582,X_6583,X_6582,X_6583,X_6581) )],[refute_0_494,refute_0_488]) ).
cnf(refute_0_496,plain,
eqratio(X_6663,X_6662,X_6663,X_6661,X_6661,X_6662,X_6661,X_6662),
inference(subst,[],[refute_0_495:[bind(X_6581,$fot(X_6661)),bind(X_6582,$fot(X_6662)),bind(X_6583,$fot(X_6663))]]) ).
cnf(refute_0_497,plain,
( ~ cong(X_6661,X_6662,X_6661,X_6662)
| cong(X_6663,X_6662,X_6663,X_6661) ),
inference(resolve,[$cnf( eqratio(X_6663,X_6662,X_6663,X_6661,X_6661,X_6662,X_6661,X_6662) )],[refute_0_496,refute_0_487]) ).
cnf(refute_0_498,plain,
( ~ cong(X_7165,skolemFOFtoCNF_B_1,X_7165,skolemFOFtoCNF_B_1)
| cong(X_6663,skolemFOFtoCNF_B_1,X_6663,X_7165) ),
inference(subst,[],[refute_0_497:[bind(X_6661,$fot(X_7165)),bind(X_6662,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_499,plain,
eqangle(skolemFOFtoCNF_B_1,X_7158,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_7158,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_479:[bind(X_834,$fot(X_7158))]]) ).
cnf(refute_0_500,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,X_7158,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_7158,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| cong(X_7158,skolemFOFtoCNF_B_1,X_7158,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_447:[bind(A,$fot(X_7158)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(X_7158)),bind(Q,$fot(skolemFOFtoCNF_B_1)),bind(R,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_501,plain,
cong(X_7158,skolemFOFtoCNF_B_1,X_7158,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,X_7158,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_7158,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_499,refute_0_500]) ).
cnf(refute_0_502,plain,
cong(X_7165,skolemFOFtoCNF_B_1,X_7165,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_501:[bind(X_7158,$fot(X_7165))]]) ).
cnf(refute_0_503,plain,
cong(X_6663,skolemFOFtoCNF_B_1,X_6663,X_7165),
inference(resolve,[$cnf( cong(X_7165,skolemFOFtoCNF_B_1,X_7165,skolemFOFtoCNF_B_1) )],[refute_0_502,refute_0_498]) ).
cnf(refute_0_504,plain,
cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,B),
inference(subst,[],[refute_0_503:[bind(X_6663,$fot(skolemFOFtoCNF_B_1)),bind(X_7165,$fot(B))]]) ).
cnf(refute_0_505,plain,
circle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,B,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,B) )],[refute_0_504,refute_0_486]) ).
cnf(refute_0_506,plain,
circle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_7188,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_505:[bind(B,$fot(X_7188))]]) ).
cnf(refute_0_507,plain,
midp(skolemFOFtoCNF_B_1,X_7188,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( circle(skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1,X_7188,skolemFOFtoCNF_B_1) )],[refute_0_506,refute_0_473]) ).
cnf(refute_0_508,plain,
midp(skolemFOFtoCNF_B_1,X_7189,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_507:[bind(X_7188,$fot(X_7189))]]) ).
cnf(refute_0_509,plain,
midp(X_3712,X_7189,X_3712),
inference(resolve,[$cnf( midp(skolemFOFtoCNF_B_1,X_7189,skolemFOFtoCNF_B_1) )],[refute_0_508,refute_0_463]) ).
cnf(refute_0_510,plain,
midp(X_7252,X_7253,X_7252),
inference(subst,[],[refute_0_509:[bind(X_3712,$fot(X_7252)),bind(X_7189,$fot(X_7253))]]) ).
cnf(refute_0_511,plain,
( ~ perp(X_7253,B,B,X_7252)
| cong(X_7253,X_7252,B,X_7252) ),
inference(resolve,[$cnf( midp(X_7252,X_7253,X_7252) )],[refute_0_510,refute_0_456]) ).
cnf(refute_0_512,plain,
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(canonicalize,[],[normalize_0_71]) ).
cnf(refute_0_513,plain,
cyclic(A,B,P,Q),
inference(subst,[],[refute_0_441:[bind(D,$fot(P)),bind(X_1548,$fot(B)),bind(X_1549,$fot(A)),bind(X_1550,$fot(Q))]]) ).
cnf(refute_0_514,plain,
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| perp(P,A,A,Q) ),
inference(resolve,[$cnf( cyclic(A,B,P,Q) )],[refute_0_513,refute_0_512]) ).
cnf(refute_0_515,plain,
( ~ cong(X_7248,P,X_7248,P)
| ~ cong(X_7248,X_7249,X_7248,X_7249)
| perp(P,X_7248,X_7248,X_7249) ),
inference(subst,[],[refute_0_514:[bind(A,$fot(X_7248)),bind(B,$fot(X_7248)),bind(Q,$fot(X_7249))]]) ).
cnf(refute_0_516,plain,
( ~ cyclic(X_1108,X_1107,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1)
| eqangle(skolemFOFtoCNF_B_1,X_1108,skolemFOFtoCNF_B_1,X_1107,skolemFOFtoCNF_B_1,X_1108,skolemFOFtoCNF_B_1,X_1107) ),
inference(subst,[],[refute_0_234:[bind(A,$fot(X_1108)),bind(B,$fot(X_1107)),bind(P,$fot(skolemFOFtoCNF_B_1)),bind(Q,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_517,plain,
( ~ cyclic(skolemFOFtoCNF_B_1,X_1015,X_1014,skolemFOFtoCNF_B_1)
| cyclic(X_1015,X_1014,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_238:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(X_1015)),bind(C,$fot(X_1014)),bind(D,$fot(skolemFOFtoCNF_B_1)),bind(E,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_518,plain,
cyclic(X_1015,X_1014,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( cyclic(skolemFOFtoCNF_B_1,X_1015,X_1014,skolemFOFtoCNF_B_1) )],[refute_0_346,refute_0_517]) ).
cnf(refute_0_519,plain,
cyclic(X_1108,X_1107,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_518:[bind(X_1014,$fot(X_1107)),bind(X_1015,$fot(X_1108))]]) ).
cnf(refute_0_520,plain,
eqangle(skolemFOFtoCNF_B_1,X_1108,skolemFOFtoCNF_B_1,X_1107,skolemFOFtoCNF_B_1,X_1108,skolemFOFtoCNF_B_1,X_1107),
inference(resolve,[$cnf( cyclic(X_1108,X_1107,skolemFOFtoCNF_B_1,skolemFOFtoCNF_B_1) )],[refute_0_519,refute_0_516]) ).
cnf(refute_0_521,plain,
eqangle(skolemFOFtoCNF_B_1,X_7158,skolemFOFtoCNF_B_1,X_7159,skolemFOFtoCNF_B_1,X_7158,skolemFOFtoCNF_B_1,X_7159),
inference(subst,[],[refute_0_520:[bind(X_1107,$fot(X_7159)),bind(X_1108,$fot(X_7158))]]) ).
cnf(refute_0_522,plain,
( ~ eqangle(skolemFOFtoCNF_B_1,X_7158,skolemFOFtoCNF_B_1,X_7159,skolemFOFtoCNF_B_1,X_7158,skolemFOFtoCNF_B_1,X_7159)
| cong(X_7158,X_7159,X_7158,X_7159) ),
inference(subst,[],[refute_0_447:[bind(A,$fot(X_7158)),bind(B,$fot(X_7159)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(P,$fot(X_7158)),bind(Q,$fot(X_7159)),bind(R,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_523,plain,
cong(X_7158,X_7159,X_7158,X_7159),
inference(resolve,[$cnf( eqangle(skolemFOFtoCNF_B_1,X_7158,skolemFOFtoCNF_B_1,X_7159,skolemFOFtoCNF_B_1,X_7158,skolemFOFtoCNF_B_1,X_7159) )],[refute_0_521,refute_0_522]) ).
cnf(refute_0_524,plain,
cong(X_7248,X_7249,X_7248,X_7249),
inference(subst,[],[refute_0_523:[bind(X_7158,$fot(X_7248)),bind(X_7159,$fot(X_7249))]]) ).
cnf(refute_0_525,plain,
( ~ cong(X_7248,P,X_7248,P)
| perp(P,X_7248,X_7248,X_7249) ),
inference(resolve,[$cnf( cong(X_7248,X_7249,X_7248,X_7249) )],[refute_0_524,refute_0_515]) ).
cnf(refute_0_526,plain,
( ~ cong(X_6743,X_6744,X_6743,X_6744)
| ~ eqratio(X_6745,X_6743,X_6745,X_6744,X_6743,X_6744,X_6743,X_6744)
| cong(X_6745,X_6743,X_6745,X_6744) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(X_6745)),bind(B,$fot(X_6743)),bind(C,$fot(X_6745)),bind(D,$fot(X_6744)),bind(P,$fot(X_6743)),bind(Q,$fot(X_6744)),bind(U,$fot(X_6743)),bind(V,$fot(X_6744))]]) ).
cnf(refute_0_527,plain,
( ~ eqratio(X_6663,X_6662,X_6663,X_6661,X_6661,X_6662,X_6661,X_6662)
| eqratio(X_6663,X_6661,X_6663,X_6662,X_6661,X_6662,X_6661,X_6662) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_6663)),bind(B,$fot(X_6662)),bind(C,$fot(X_6663)),bind(D,$fot(X_6661)),bind(P,$fot(X_6661)),bind(Q,$fot(X_6662)),bind(U,$fot(X_6661)),bind(V,$fot(X_6662))]]) ).
cnf(refute_0_528,plain,
eqratio(X_6663,X_6661,X_6663,X_6662,X_6661,X_6662,X_6661,X_6662),
inference(resolve,[$cnf( eqratio(X_6663,X_6662,X_6663,X_6661,X_6661,X_6662,X_6661,X_6662) )],[refute_0_496,refute_0_527]) ).
cnf(refute_0_529,plain,
eqratio(X_6745,X_6743,X_6745,X_6744,X_6743,X_6744,X_6743,X_6744),
inference(subst,[],[refute_0_528:[bind(X_6661,$fot(X_6743)),bind(X_6662,$fot(X_6744)),bind(X_6663,$fot(X_6745))]]) ).
cnf(refute_0_530,plain,
( ~ cong(X_6743,X_6744,X_6743,X_6744)
| cong(X_6745,X_6743,X_6745,X_6744) ),
inference(resolve,[$cnf( eqratio(X_6745,X_6743,X_6745,X_6744,X_6743,X_6744,X_6743,X_6744) )],[refute_0_529,refute_0_526]) ).
cnf(refute_0_531,plain,
( ~ cong(X_7248,X_7249,X_7248,X_7249)
| cong(X_6745,X_7248,X_6745,X_7249) ),
inference(subst,[],[refute_0_530:[bind(X_6743,$fot(X_7248)),bind(X_6744,$fot(X_7249))]]) ).
cnf(refute_0_532,plain,
cong(X_6745,X_7248,X_6745,X_7249),
inference(resolve,[$cnf( cong(X_7248,X_7249,X_7248,X_7249) )],[refute_0_524,refute_0_531]) ).
cnf(refute_0_533,plain,
cong(X_7248,P,X_7248,P),
inference(subst,[],[refute_0_532:[bind(X_6745,$fot(X_7248)),bind(X_7248,$fot(P)),bind(X_7249,$fot(P))]]) ).
cnf(refute_0_534,plain,
perp(P,X_7248,X_7248,X_7249),
inference(resolve,[$cnf( cong(X_7248,P,X_7248,P) )],[refute_0_533,refute_0_525]) ).
cnf(refute_0_535,plain,
perp(X_7253,B,B,X_7252),
inference(subst,[],[refute_0_534:[bind(P,$fot(X_7253)),bind(X_7248,$fot(B)),bind(X_7249,$fot(X_7252))]]) ).
cnf(refute_0_536,plain,
cong(X_7253,X_7252,B,X_7252),
inference(resolve,[$cnf( perp(X_7253,B,B,X_7252) )],[refute_0_535,refute_0_511]) ).
cnf(refute_0_537,plain,
cong(skolemFOFtoCNF_B_1,P,X_7287,P),
inference(subst,[],[refute_0_536:[bind(B,$fot(X_7287)),bind(X_7252,$fot(P)),bind(X_7253,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_538,plain,
perp(skolemFOFtoCNF_B_1,X_7287,P,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( cong(skolemFOFtoCNF_B_1,P,X_7287,P) )],[refute_0_537,refute_0_454]) ).
cnf(refute_0_539,plain,
perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1),
inference(subst,[],[refute_0_538:[bind(P,$fot(skolemFOFtoCNF_A)),bind(X_7287,$fot(skolemFOFtoCNF_H))]]) ).
cnf(refute_0_540,plain,
$false,
inference(resolve,[$cnf( perp(skolemFOFtoCNF_B_1,skolemFOFtoCNF_H,skolemFOFtoCNF_A,skolemFOFtoCNF_C_1) )],[refute_0_539,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO546+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 14:56:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 13.30/13.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.30/13.49
% 13.30/13.49 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 13.35/13.53
%------------------------------------------------------------------------------